%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NLP258+1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:18:37 AM UTC 2025
% Result : Theorem 0.40s 0.55s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NLP258+1 : TPTP v9.0.0. Released v2.4.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Jun 19 23:57:17 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.40/0.55 % SZS status Theorem
% 0.40/0.55 % SZS output start Proof
% 0.40/0.55 tff(present_type, type, (
% 0.40/0.55 present: ( $i * $i ) > $o)).
% 0.40/0.55 tff(tptp_fun_X4_8_type, type, (
% 0.40/0.55 tptp_fun_X4_8: $i > $i)).
% 0.40/0.55 tff(tptp_fun_X3_9_type, type, (
% 0.40/0.55 tptp_fun_X3_9: $i > $i)).
% 0.40/0.55 tff(tptp_fun_Y_4_type, type, (
% 0.40/0.55 tptp_fun_Y_4: $i)).
% 0.40/0.55 tff(smoke_type, type, (
% 0.40/0.55 smoke: ( $i * $i ) > $o)).
% 0.40/0.55 tff(agent_type, type, (
% 0.40/0.55 agent: ( $i * $i * $i ) > $o)).
% 0.40/0.55 tff(event_type, type, (
% 0.40/0.55 event: ( $i * $i ) > $o)).
% 0.40/0.55 tff(man_type, type, (
% 0.40/0.55 man: ( $i * $i ) > $o)).
% 0.40/0.55 tff(tptp_fun_X1_2_type, type, (
% 0.40/0.55 tptp_fun_X1_2: $i)).
% 0.40/0.55 tff(tptp_fun_U_0_type, type, (
% 0.40/0.55 tptp_fun_U_0: $i)).
% 0.40/0.55 tff(be_type, type, (
% 0.40/0.55 be: ( $i * $i * $i * $i ) > $o)).
% 0.40/0.55 tff(tptp_fun_X2_1_type, type, (
% 0.40/0.55 tptp_fun_X2_1: $i)).
% 0.40/0.55 tff(state_type, type, (
% 0.40/0.55 state: ( $i * $i ) > $o)).
% 0.40/0.55 tff(forename_type, type, (
% 0.40/0.55 forename: ( $i * $i ) > $o)).
% 0.40/0.55 tff(tptp_fun_Z_3_type, type, (
% 0.40/0.55 tptp_fun_Z_3: $i)).
% 0.40/0.55 tff(jules_forename_type, type, (
% 0.40/0.55 jules_forename: ( $i * $i ) > $o)).
% 0.40/0.55 tff(of_type, type, (
% 0.40/0.55 of: ( $i * $i * $i ) > $o)).
% 0.40/0.55 tff(accessible_world_type, type, (
% 0.40/0.55 accessible_world: ( $i * $i ) > $o)).
% 0.40/0.55 tff(think_believe_consider_type, type, (
% 0.40/0.55 think_believe_consider: ( $i * $i ) > $o)).
% 0.40/0.55 tff(tptp_fun_X_5_type, type, (
% 0.40/0.55 tptp_fun_X_5: $i)).
% 0.40/0.55 tff(theme_type, type, (
% 0.40/0.55 theme: ( $i * $i * $i ) > $o)).
% 0.40/0.55 tff(tptp_fun_V_7_type, type, (
% 0.40/0.55 tptp_fun_V_7: $i)).
% 0.40/0.55 tff(proposition_type, type, (
% 0.40/0.55 proposition: ( $i * $i ) > $o)).
% 0.40/0.55 tff(tptp_fun_W_6_type, type, (
% 0.40/0.55 tptp_fun_W_6: $i)).
% 0.40/0.55 tff(vincent_forename_type, type, (
% 0.40/0.55 vincent_forename: ( $i * $i ) > $o)).
% 0.40/0.55 tff(actual_world_type, type, (
% 0.40/0.55 actual_world: $i > $o)).
% 0.40/0.55 tff(1,plain,
% 0.40/0.55 ((actual_world(U!0) & (of(U!0, W!6, V!7) & man(U!0, V!7) & vincent_forename(U!0, W!6) & forename(U!0, W!6) & proposition(U!0, Y!4) & agent(U!0, X!5, V!7) & theme(U!0, X!5, Y!4) & event(U!0, X!5) & present(U!0, X!5) & think_believe_consider(U!0, X!5) & accessible_world(U!0, Y!4) & ![X3: $i] : ((~man(Y!4, X3)) | (event(Y!4, tptp_fun_X4_8(X3)) & agent(Y!4, tptp_fun_X4_8(X3), X3) & present(Y!4, tptp_fun_X4_8(X3)) & smoke(Y!4, tptp_fun_X4_8(X3)))) & of(U!0, Z!3, X1!2) & man(U!0, X1!2) & jules_forename(U!0, Z!3) & forename(U!0, Z!3) & state(U!0, X2!1) & be(U!0, X2!1, X1!2, X1!2))) <=> (actual_world(U!0) & of(U!0, W!6, V!7) & man(U!0, V!7) & vincent_forename(U!0, W!6) & forename(U!0, W!6) & proposition(U!0, Y!4) & agent(U!0, X!5, V!7) & theme(U!0, X!5, Y!4) & event(U!0, X!5) & present(U!0, X!5) & think_believe_consider(U!0, X!5) & accessible_world(U!0, Y!4) & ![X3: $i] : ((~man(Y!4, X3)) | (event(Y!4, tptp_fun_X4_8(X3)) & agent(Y!4, tptp_fun_X4_8(X3), X3) & present(Y!4, tptp_fun_X4_8(X3)) & smoke(Y!4, tptp_fun_X4_8(X3)))) & of(U!0, Z!3, X1!2) & man(U!0, X1!2) & jules_forename(U!0, Z!3) & forename(U!0, Z!3) & state(U!0, X2!1) & be(U!0, X2!1, X1!2, X1!2))),
% 0.40/0.55 inference(rewrite,[status(thm)],[])).
% 0.40/0.55 tff(2,plain,
% 0.40/0.55 ((of(U!0, W!6, V!7) & man(U!0, V!7) & vincent_forename(U!0, W!6) & forename(U!0, W!6) & proposition(U!0, Y!4) & agent(U!0, X!5, V!7) & theme(U!0, X!5, Y!4) & event(U!0, X!5) & present(U!0, X!5) & think_believe_consider(U!0, X!5) & accessible_world(U!0, Y!4) & ![X3: $i] : ((~man(Y!4, X3)) | (event(Y!4, tptp_fun_X4_8(X3)) & agent(Y!4, tptp_fun_X4_8(X3), X3) & present(Y!4, tptp_fun_X4_8(X3)) & smoke(Y!4, tptp_fun_X4_8(X3)))) & of(U!0, Z!3, X1!2) & man(U!0, X1!2) & jules_forename(U!0, Z!3) & forename(U!0, Z!3) & state(U!0, X2!1) & be(U!0, X2!1, X1!2, X1!2)) <=> (of(U!0, W!6, V!7) & man(U!0, V!7) & vincent_forename(U!0, W!6) & forename(U!0, W!6) & proposition(U!0, Y!4) & agent(U!0, X!5, V!7) & theme(U!0, X!5, Y!4) & event(U!0, X!5) & present(U!0, X!5) & think_believe_consider(U!0, X!5) & accessible_world(U!0, Y!4) & ![X3: $i] : ((~man(Y!4, X3)) | (event(Y!4, tptp_fun_X4_8(X3)) & agent(Y!4, tptp_fun_X4_8(X3), X3) & present(Y!4, tptp_fun_X4_8(X3)) & smoke(Y!4, tptp_fun_X4_8(X3)))) & of(U!0, Z!3, X1!2) & man(U!0, X1!2) & jules_forename(U!0, Z!3) & forename(U!0, Z!3) & state(U!0, X2!1) & be(U!0, X2!1, X1!2, X1!2))),
% 0.40/0.55 inference(rewrite,[status(thm)],[])).
% 0.40/0.55 tff(3,plain,
% 0.40/0.55 ((actual_world(U!0) & (of(U!0, W!6, V!7) & man(U!0, V!7) & vincent_forename(U!0, W!6) & forename(U!0, W!6) & proposition(U!0, Y!4) & agent(U!0, X!5, V!7) & theme(U!0, X!5, Y!4) & event(U!0, X!5) & present(U!0, X!5) & think_believe_consider(U!0, X!5) & accessible_world(U!0, Y!4) & ![X3: $i] : ((~man(Y!4, X3)) | (event(Y!4, tptp_fun_X4_8(X3)) & agent(Y!4, tptp_fun_X4_8(X3), X3) & present(Y!4, tptp_fun_X4_8(X3)) & smoke(Y!4, tptp_fun_X4_8(X3)))) & of(U!0, Z!3, X1!2) & man(U!0, X1!2) & jules_forename(U!0, Z!3) & forename(U!0, Z!3) & state(U!0, X2!1) & be(U!0, X2!1, X1!2, X1!2))) <=> (actual_world(U!0) & (of(U!0, W!6, V!7) & man(U!0, V!7) & vincent_forename(U!0, W!6) & forename(U!0, W!6) & proposition(U!0, Y!4) & agent(U!0, X!5, V!7) & theme(U!0, X!5, Y!4) & event(U!0, X!5) & present(U!0, X!5) & think_believe_consider(U!0, X!5) & accessible_world(U!0, Y!4) & ![X3: $i] : ((~man(Y!4, X3)) | (event(Y!4, tptp_fun_X4_8(X3)) & agent(Y!4, tptp_fun_X4_8(X3), X3) & present(Y!4, tptp_fun_X4_8(X3)) & smoke(Y!4, tptp_fun_X4_8(X3)))) & of(U!0, Z!3, X1!2) & man(U!0, X1!2) & jules_forename(U!0, Z!3) & forename(U!0, Z!3) & state(U!0, X2!1) & be(U!0, X2!1, X1!2, X1!2)))),
% 0.40/0.56 inference(monotonicity,[status(thm)],[2])).
% 0.40/0.56 tff(4,plain,
% 0.40/0.56 ((actual_world(U!0) & (of(U!0, W!6, V!7) & man(U!0, V!7) & vincent_forename(U!0, W!6) & forename(U!0, W!6) & proposition(U!0, Y!4) & agent(U!0, X!5, V!7) & theme(U!0, X!5, Y!4) & event(U!0, X!5) & present(U!0, X!5) & think_believe_consider(U!0, X!5) & accessible_world(U!0, Y!4) & ![X3: $i] : ((~man(Y!4, X3)) | (event(Y!4, tptp_fun_X4_8(X3)) & agent(Y!4, tptp_fun_X4_8(X3), X3) & present(Y!4, tptp_fun_X4_8(X3)) & smoke(Y!4, tptp_fun_X4_8(X3)))) & of(U!0, Z!3, X1!2) & man(U!0, X1!2) & jules_forename(U!0, Z!3) & forename(U!0, Z!3) & state(U!0, X2!1) & be(U!0, X2!1, X1!2, X1!2))) <=> (actual_world(U!0) & of(U!0, W!6, V!7) & man(U!0, V!7) & vincent_forename(U!0, W!6) & forename(U!0, W!6) & proposition(U!0, Y!4) & agent(U!0, X!5, V!7) & theme(U!0, X!5, Y!4) & event(U!0, X!5) & present(U!0, X!5) & think_believe_consider(U!0, X!5) & accessible_world(U!0, Y!4) & ![X3: $i] : ((~man(Y!4, X3)) | (event(Y!4, tptp_fun_X4_8(X3)) & agent(Y!4, tptp_fun_X4_8(X3), X3) & present(Y!4, tptp_fun_X4_8(X3)) & smoke(Y!4, tptp_fun_X4_8(X3)))) & of(U!0, Z!3, X1!2) & man(U!0, X1!2) & jules_forename(U!0, Z!3) & forename(U!0, Z!3) & state(U!0, X2!1) & be(U!0, X2!1, X1!2, X1!2))),
% 0.40/0.56 inference(transitivity,[status(thm)],[3, 1])).
% 0.40/0.56 tff(5,plain,
% 0.40/0.56 (?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i] : (of(U, W, V) & man(U, V) & vincent_forename(U, W) & forename(U, W) & proposition(U, Y) & agent(U, X, V) & theme(U, X, Y) & event(U, X) & present(U, X) & think_believe_consider(U, X) & accessible_world(U, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(U, Z, X1) & man(U, X1) & jules_forename(U, Z) & forename(U, Z) & state(U, X2) & be(U, X2, X1, X1))) <=> ?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i] : (of(U, W, V) & man(U, V) & vincent_forename(U, W) & forename(U, W) & proposition(U, Y) & agent(U, X, V) & theme(U, X, Y) & event(U, X) & present(U, X) & think_believe_consider(U, X) & accessible_world(U, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(U, Z, X1) & man(U, X1) & jules_forename(U, Z) & forename(U, Z) & state(U, X2) & be(U, X2, X1, X1)))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(6,plain,
% 0.40/0.56 ((~(~(?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i] : (of(U, W, V) & man(U, V) & vincent_forename(U, W) & forename(U, W) & proposition(U, Y) & agent(U, X, V) & theme(U, X, Y) & event(U, X) & present(U, X) & think_believe_consider(U, X) & accessible_world(U, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(U, Z, X1) & man(U, X1) & jules_forename(U, Z) & forename(U, Z) & state(U, X2) & be(U, X2, X1, X1))) & (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10)))))))) <=> (?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i] : (of(U, W, V) & man(U, V) & vincent_forename(U, W) & forename(U, W) & proposition(U, Y) & agent(U, X, V) & theme(U, X, Y) & event(U, X) & present(U, X) & think_believe_consider(U, X) & accessible_world(U, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(U, Z, X1) & man(U, X1) & jules_forename(U, Z) & forename(U, Z) & state(U, X2) & be(U, X2, X1, X1))) & (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))))))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(7,plain,
% 0.40/0.56 ((~(?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i] : ((((((((((((((((((of(U, W, V) & man(U, V)) & vincent_forename(U, W)) & forename(U, W)) & proposition(U, Y)) & agent(U, X, V)) & theme(U, X, Y)) & event(U, X)) & present(U, X)) & think_believe_consider(U, X)) & accessible_world(U, Y)) & ![X3: $i] : (man(Y, X3) => ?[X4: $i] : (((event(Y, X4) & agent(Y, X4, X3)) & present(Y, X4)) & smoke(Y, X4)))) & of(U, Z, X1)) & man(U, X1)) & jules_forename(U, Z)) & forename(U, Z)) & man(U, X1)) & state(U, X2)) & be(U, X2, X1, X1))) & (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((((((((((((((((((((((((((((((((of(X5, X6, X1) & jules_forename(X5, X6)) & forename(X5, X6)) & of(X5, X7, V)) & vincent_forename(X5, X7)) & forename(X5, X7)) & of(X5, W, V)) & man(X5, V)) & vincent_forename(X5, W)) & forename(X5, W)) & proposition(X5, Y)) & agent(X5, X, V)) & theme(X5, X, Y)) & event(X5, X)) & present(X5, X)) & think_believe_consider(X5, X)) & accessible_world(X5, Y)) & ![X3: $i] : (man(Y, X3) => ?[X4: $i] : (((event(Y, X4) & agent(Y, X4, X3)) & present(Y, X4)) & smoke(Y, X4)))) & of(X5, Z, X1)) & man(X5, X1)) & jules_forename(X5, Z)) & forename(X5, Z)) & man(X5, X1)) & state(X5, X2)) & be(X5, X2, X1, X1)) & proposition(X5, X9)) & agent(X5, X8, V)) & theme(X5, X8, X9)) & event(X5, X8)) & present(X5, X8)) & think_believe_consider(X5, X8)) & accessible_world(X5, X9)) & ?[X10: $i] : (((event(X9, X10) & agent(X9, X10, X1)) & present(X9, X10)) & smoke(X9, X10))))))) <=> (~(?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i] : (of(U, W, V) & man(U, V) & vincent_forename(U, W) & forename(U, W) & proposition(U, Y) & agent(U, X, V) & theme(U, X, Y) & event(U, X) & present(U, X) & think_believe_consider(U, X) & accessible_world(U, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(U, Z, X1) & man(U, X1) & jules_forename(U, Z) & forename(U, Z) & state(U, X2) & be(U, X2, X1, X1))) & (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10)))))))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(8,plain,
% 0.40/0.56 ((~(~(?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i] : ((((((((((((((((((of(U, W, V) & man(U, V)) & vincent_forename(U, W)) & forename(U, W)) & proposition(U, Y)) & agent(U, X, V)) & theme(U, X, Y)) & event(U, X)) & present(U, X)) & think_believe_consider(U, X)) & accessible_world(U, Y)) & ![X3: $i] : (man(Y, X3) => ?[X4: $i] : (((event(Y, X4) & agent(Y, X4, X3)) & present(Y, X4)) & smoke(Y, X4)))) & of(U, Z, X1)) & man(U, X1)) & jules_forename(U, Z)) & forename(U, Z)) & man(U, X1)) & state(U, X2)) & be(U, X2, X1, X1))) & (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((((((((((((((((((((((((((((((((of(X5, X6, X1) & jules_forename(X5, X6)) & forename(X5, X6)) & of(X5, X7, V)) & vincent_forename(X5, X7)) & forename(X5, X7)) & of(X5, W, V)) & man(X5, V)) & vincent_forename(X5, W)) & forename(X5, W)) & proposition(X5, Y)) & agent(X5, X, V)) & theme(X5, X, Y)) & event(X5, X)) & present(X5, X)) & think_believe_consider(X5, X)) & accessible_world(X5, Y)) & ![X3: $i] : (man(Y, X3) => ?[X4: $i] : (((event(Y, X4) & agent(Y, X4, X3)) & present(Y, X4)) & smoke(Y, X4)))) & of(X5, Z, X1)) & man(X5, X1)) & jules_forename(X5, Z)) & forename(X5, Z)) & man(X5, X1)) & state(X5, X2)) & be(X5, X2, X1, X1)) & proposition(X5, X9)) & agent(X5, X8, V)) & theme(X5, X8, X9)) & event(X5, X8)) & present(X5, X8)) & think_believe_consider(X5, X8)) & accessible_world(X5, X9)) & ?[X10: $i] : (((event(X9, X10) & agent(X9, X10, X1)) & present(X9, X10)) & smoke(X9, X10)))))))) <=> (~(~(?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i] : (of(U, W, V) & man(U, V) & vincent_forename(U, W) & forename(U, W) & proposition(U, Y) & agent(U, X, V) & theme(U, X, Y) & event(U, X) & present(U, X) & think_believe_consider(U, X) & accessible_world(U, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(U, Z, X1) & man(U, X1) & jules_forename(U, Z) & forename(U, Z) & state(U, X2) & be(U, X2, X1, X1))) & (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))))))))),
% 0.40/0.56 inference(monotonicity,[status(thm)],[7])).
% 0.40/0.56 tff(9,plain,
% 0.40/0.56 ((~(~(?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i] : ((((((((((((((((((of(U, W, V) & man(U, V)) & vincent_forename(U, W)) & forename(U, W)) & proposition(U, Y)) & agent(U, X, V)) & theme(U, X, Y)) & event(U, X)) & present(U, X)) & think_believe_consider(U, X)) & accessible_world(U, Y)) & ![X3: $i] : (man(Y, X3) => ?[X4: $i] : (((event(Y, X4) & agent(Y, X4, X3)) & present(Y, X4)) & smoke(Y, X4)))) & of(U, Z, X1)) & man(U, X1)) & jules_forename(U, Z)) & forename(U, Z)) & man(U, X1)) & state(U, X2)) & be(U, X2, X1, X1))) & (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((((((((((((((((((((((((((((((((of(X5, X6, X1) & jules_forename(X5, X6)) & forename(X5, X6)) & of(X5, X7, V)) & vincent_forename(X5, X7)) & forename(X5, X7)) & of(X5, W, V)) & man(X5, V)) & vincent_forename(X5, W)) & forename(X5, W)) & proposition(X5, Y)) & agent(X5, X, V)) & theme(X5, X, Y)) & event(X5, X)) & present(X5, X)) & think_believe_consider(X5, X)) & accessible_world(X5, Y)) & ![X3: $i] : (man(Y, X3) => ?[X4: $i] : (((event(Y, X4) & agent(Y, X4, X3)) & present(Y, X4)) & smoke(Y, X4)))) & of(X5, Z, X1)) & man(X5, X1)) & jules_forename(X5, Z)) & forename(X5, Z)) & man(X5, X1)) & state(X5, X2)) & be(X5, X2, X1, X1)) & proposition(X5, X9)) & agent(X5, X8, V)) & theme(X5, X8, X9)) & event(X5, X8)) & present(X5, X8)) & think_believe_consider(X5, X8)) & accessible_world(X5, X9)) & ?[X10: $i] : (((event(X9, X10) & agent(X9, X10, X1)) & present(X9, X10)) & smoke(X9, X10)))))))) <=> (?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i] : (of(U, W, V) & man(U, V) & vincent_forename(U, W) & forename(U, W) & proposition(U, Y) & agent(U, X, V) & theme(U, X, Y) & event(U, X) & present(U, X) & think_believe_consider(U, X) & accessible_world(U, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(U, Z, X1) & man(U, X1) & jules_forename(U, Z) & forename(U, Z) & state(U, X2) & be(U, X2, X1, X1))) & (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))))))),
% 0.40/0.56 inference(transitivity,[status(thm)],[8, 6])).
% 0.40/0.56 tff(10,axiom,(~(~(?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i] : ((((((((((((((((((of(U, W, V) & man(U, V)) & vincent_forename(U, W)) & forename(U, W)) & proposition(U, Y)) & agent(U, X, V)) & theme(U, X, Y)) & event(U, X)) & present(U, X)) & think_believe_consider(U, X)) & accessible_world(U, Y)) & ![X3: $i] : (man(Y, X3) => ?[X4: $i] : (((event(Y, X4) & agent(Y, X4, X3)) & present(Y, X4)) & smoke(Y, X4)))) & of(U, Z, X1)) & man(U, X1)) & jules_forename(U, Z)) & forename(U, Z)) & man(U, X1)) & state(U, X2)) & be(U, X2, X1, X1))) & (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((((((((((((((((((((((((((((((((of(X5, X6, X1) & jules_forename(X5, X6)) & forename(X5, X6)) & of(X5, X7, V)) & vincent_forename(X5, X7)) & forename(X5, X7)) & of(X5, W, V)) & man(X5, V)) & vincent_forename(X5, W)) & forename(X5, W)) & proposition(X5, Y)) & agent(X5, X, V)) & theme(X5, X, Y)) & event(X5, X)) & present(X5, X)) & think_believe_consider(X5, X)) & accessible_world(X5, Y)) & ![X3: $i] : (man(Y, X3) => ?[X4: $i] : (((event(Y, X4) & agent(Y, X4, X3)) & present(Y, X4)) & smoke(Y, X4)))) & of(X5, Z, X1)) & man(X5, X1)) & jules_forename(X5, Z)) & forename(X5, Z)) & man(X5, X1)) & state(X5, X2)) & be(X5, X2, X1, X1)) & proposition(X5, X9)) & agent(X5, X8, V)) & theme(X5, X8, X9)) & event(X5, X8)) & present(X5, X8)) & think_believe_consider(X5, X8)) & accessible_world(X5, X9)) & ?[X10: $i] : (((event(X9, X10) & agent(X9, X10, X1)) & present(X9, X10)) & smoke(X9, X10)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','co1')).
% 0.40/0.56 tff(11,plain,
% 0.40/0.56 (?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i] : (of(U, W, V) & man(U, V) & vincent_forename(U, W) & forename(U, W) & proposition(U, Y) & agent(U, X, V) & theme(U, X, Y) & event(U, X) & present(U, X) & think_believe_consider(U, X) & accessible_world(U, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(U, Z, X1) & man(U, X1) & jules_forename(U, Z) & forename(U, Z) & state(U, X2) & be(U, X2, X1, X1))) & (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10)))))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.40/0.56 tff(12,plain,
% 0.40/0.56 (?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i] : (of(U, W, V) & man(U, V) & vincent_forename(U, W) & forename(U, W) & proposition(U, Y) & agent(U, X, V) & theme(U, X, Y) & event(U, X) & present(U, X) & think_believe_consider(U, X) & accessible_world(U, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(U, Z, X1) & man(U, X1) & jules_forename(U, Z) & forename(U, Z) & state(U, X2) & be(U, X2, X1, X1)))),
% 0.40/0.56 inference(and_elim,[status(thm)],[11])).
% 0.40/0.56 tff(13,plain,
% 0.40/0.56 (?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i] : (of(U, W, V) & man(U, V) & vincent_forename(U, W) & forename(U, W) & proposition(U, Y) & agent(U, X, V) & theme(U, X, Y) & event(U, X) & present(U, X) & think_believe_consider(U, X) & accessible_world(U, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(U, Z, X1) & man(U, X1) & jules_forename(U, Z) & forename(U, Z) & state(U, X2) & be(U, X2, X1, X1)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[12, 5])).
% 0.40/0.56 tff(14,plain,
% 0.40/0.56 (actual_world(U!0) & of(U!0, W!6, V!7) & man(U!0, V!7) & vincent_forename(U!0, W!6) & forename(U!0, W!6) & proposition(U!0, Y!4) & agent(U!0, X!5, V!7) & theme(U!0, X!5, Y!4) & event(U!0, X!5) & present(U!0, X!5) & think_believe_consider(U!0, X!5) & accessible_world(U!0, Y!4) & ![X3: $i] : ((~man(Y!4, X3)) | (event(Y!4, tptp_fun_X4_8(X3)) & agent(Y!4, tptp_fun_X4_8(X3), X3) & present(Y!4, tptp_fun_X4_8(X3)) & smoke(Y!4, tptp_fun_X4_8(X3)))) & of(U!0, Z!3, X1!2) & man(U!0, X1!2) & jules_forename(U!0, Z!3) & forename(U!0, Z!3) & state(U!0, X2!1) & be(U!0, X2!1, X1!2, X1!2)),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[13, 4])).
% 0.40/0.56 tff(15,plain,
% 0.40/0.56 (man(U!0, X1!2)),
% 0.40/0.56 inference(and_elim,[status(thm)],[14])).
% 0.40/0.56 tff(16,plain,
% 0.40/0.56 (accessible_world(U!0, Y!4)),
% 0.40/0.56 inference(and_elim,[status(thm)],[14])).
% 0.40/0.56 tff(17,plain,
% 0.40/0.56 (^[U: $i, V: $i, W: $i] : refl((man(W, U) | (~accessible_world(V, W)) | (~man(V, U))) <=> (man(W, U) | (~accessible_world(V, W)) | (~man(V, U))))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(18,plain,
% 0.40/0.56 (![U: $i, V: $i, W: $i] : (man(W, U) | (~accessible_world(V, W)) | (~man(V, U))) <=> ![U: $i, V: $i, W: $i] : (man(W, U) | (~accessible_world(V, W)) | (~man(V, U)))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[17])).
% 0.40/0.56 tff(19,plain,
% 0.40/0.56 (^[U: $i, V: $i, W: $i] : trans(monotonicity(trans(monotonicity(rewrite((accessible_world(V, W) & man(V, U)) <=> (~((~accessible_world(V, W)) | (~man(V, U))))), ((~(accessible_world(V, W) & man(V, U))) <=> (~(~((~accessible_world(V, W)) | (~man(V, U))))))), rewrite((~(~((~accessible_world(V, W)) | (~man(V, U))))) <=> ((~accessible_world(V, W)) | (~man(V, U)))), ((~(accessible_world(V, W) & man(V, U))) <=> ((~accessible_world(V, W)) | (~man(V, U))))), (((~(accessible_world(V, W) & man(V, U))) | man(W, U)) <=> (((~accessible_world(V, W)) | (~man(V, U))) | man(W, U)))), rewrite((((~accessible_world(V, W)) | (~man(V, U))) | man(W, U)) <=> (man(W, U) | (~accessible_world(V, W)) | (~man(V, U)))), (((~(accessible_world(V, W) & man(V, U))) | man(W, U)) <=> (man(W, U) | (~accessible_world(V, W)) | (~man(V, U)))))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(20,plain,
% 0.40/0.56 (![U: $i, V: $i, W: $i] : ((~(accessible_world(V, W) & man(V, U))) | man(W, U)) <=> ![U: $i, V: $i, W: $i] : (man(W, U) | (~accessible_world(V, W)) | (~man(V, U)))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[19])).
% 0.40/0.56 tff(21,plain,
% 0.40/0.56 (![U: $i, V: $i, W: $i] : ((~(accessible_world(V, W) & man(V, U))) | man(W, U)) <=> ![U: $i, V: $i, W: $i] : ((~(accessible_world(V, W) & man(V, U))) | man(W, U))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(22,plain,
% 0.40/0.56 (^[U: $i, V: $i, W: $i] : rewrite(((accessible_world(V, W) & man(V, U)) => man(W, U)) <=> ((~(accessible_world(V, W) & man(V, U))) | man(W, U)))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(23,plain,
% 0.40/0.56 (![U: $i, V: $i, W: $i] : ((accessible_world(V, W) & man(V, U)) => man(W, U)) <=> ![U: $i, V: $i, W: $i] : ((~(accessible_world(V, W) & man(V, U))) | man(W, U))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[22])).
% 0.40/0.56 tff(24,axiom,(![U: $i, V: $i, W: $i] : ((accessible_world(V, W) & man(V, U)) => man(W, U))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax49')).
% 0.40/0.56 tff(25,plain,
% 0.40/0.56 (![U: $i, V: $i, W: $i] : ((~(accessible_world(V, W) & man(V, U))) | man(W, U))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.40/0.56 tff(26,plain,
% 0.40/0.56 (![U: $i, V: $i, W: $i] : ((~(accessible_world(V, W) & man(V, U))) | man(W, U))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[25, 21])).
% 0.40/0.56 tff(27,plain,(
% 0.40/0.56 ![U: $i, V: $i, W: $i] : ((~(accessible_world(V, W) & man(V, U))) | man(W, U))),
% 0.40/0.56 inference(skolemize,[status(sab)],[26])).
% 0.40/0.56 tff(28,plain,
% 0.40/0.56 (![U: $i, V: $i, W: $i] : (man(W, U) | (~accessible_world(V, W)) | (~man(V, U)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.40/0.56 tff(29,plain,
% 0.40/0.56 (![U: $i, V: $i, W: $i] : (man(W, U) | (~accessible_world(V, W)) | (~man(V, U)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[28, 18])).
% 0.40/0.56 tff(30,plain,
% 0.40/0.56 (((~![U: $i, V: $i, W: $i] : (man(W, U) | (~accessible_world(V, W)) | (~man(V, U)))) | ((~man(U!0, X1!2)) | (~accessible_world(U!0, Y!4)) | man(Y!4, X1!2))) <=> ((~![U: $i, V: $i, W: $i] : (man(W, U) | (~accessible_world(V, W)) | (~man(V, U)))) | (~man(U!0, X1!2)) | (~accessible_world(U!0, Y!4)) | man(Y!4, X1!2))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(31,plain,
% 0.40/0.56 ((man(Y!4, X1!2) | (~accessible_world(U!0, Y!4)) | (~man(U!0, X1!2))) <=> ((~man(U!0, X1!2)) | (~accessible_world(U!0, Y!4)) | man(Y!4, X1!2))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(32,plain,
% 0.40/0.56 (((~![U: $i, V: $i, W: $i] : (man(W, U) | (~accessible_world(V, W)) | (~man(V, U)))) | (man(Y!4, X1!2) | (~accessible_world(U!0, Y!4)) | (~man(U!0, X1!2)))) <=> ((~![U: $i, V: $i, W: $i] : (man(W, U) | (~accessible_world(V, W)) | (~man(V, U)))) | ((~man(U!0, X1!2)) | (~accessible_world(U!0, Y!4)) | man(Y!4, X1!2)))),
% 0.40/0.56 inference(monotonicity,[status(thm)],[31])).
% 0.40/0.56 tff(33,plain,
% 0.40/0.56 (((~![U: $i, V: $i, W: $i] : (man(W, U) | (~accessible_world(V, W)) | (~man(V, U)))) | (man(Y!4, X1!2) | (~accessible_world(U!0, Y!4)) | (~man(U!0, X1!2)))) <=> ((~![U: $i, V: $i, W: $i] : (man(W, U) | (~accessible_world(V, W)) | (~man(V, U)))) | (~man(U!0, X1!2)) | (~accessible_world(U!0, Y!4)) | man(Y!4, X1!2))),
% 0.40/0.56 inference(transitivity,[status(thm)],[32, 30])).
% 0.40/0.56 tff(34,plain,
% 0.40/0.56 ((~![U: $i, V: $i, W: $i] : (man(W, U) | (~accessible_world(V, W)) | (~man(V, U)))) | (man(Y!4, X1!2) | (~accessible_world(U!0, Y!4)) | (~man(U!0, X1!2)))),
% 0.40/0.56 inference(quant_inst,[status(thm)],[])).
% 0.40/0.56 tff(35,plain,
% 0.40/0.56 ((~![U: $i, V: $i, W: $i] : (man(W, U) | (~accessible_world(V, W)) | (~man(V, U)))) | (~man(U!0, X1!2)) | (~accessible_world(U!0, Y!4)) | man(Y!4, X1!2)),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.40/0.56 tff(36,plain,
% 0.40/0.56 (man(Y!4, X1!2)),
% 0.40/0.56 inference(unit_resolution,[status(thm)],[35, 29, 16, 15])).
% 0.40/0.56 tff(37,plain,
% 0.40/0.56 (^[X3: $i] : refl(((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3)))))) <=> ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3)))))))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(38,plain,
% 0.40/0.56 (![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3)))))) <=> ![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[37])).
% 0.40/0.56 tff(39,plain,
% 0.40/0.56 (^[X3: $i] : rewrite(((~man(Y!4, X3)) | (event(Y!4, tptp_fun_X4_8(X3)) & agent(Y!4, tptp_fun_X4_8(X3), X3) & present(Y!4, tptp_fun_X4_8(X3)) & smoke(Y!4, tptp_fun_X4_8(X3)))) <=> ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3)))))))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(40,plain,
% 0.40/0.56 (![X3: $i] : ((~man(Y!4, X3)) | (event(Y!4, tptp_fun_X4_8(X3)) & agent(Y!4, tptp_fun_X4_8(X3), X3) & present(Y!4, tptp_fun_X4_8(X3)) & smoke(Y!4, tptp_fun_X4_8(X3)))) <=> ![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[39])).
% 0.40/0.56 tff(41,plain,
% 0.40/0.56 (![X3: $i] : ((~man(Y!4, X3)) | (event(Y!4, tptp_fun_X4_8(X3)) & agent(Y!4, tptp_fun_X4_8(X3), X3) & present(Y!4, tptp_fun_X4_8(X3)) & smoke(Y!4, tptp_fun_X4_8(X3))))),
% 0.40/0.56 inference(and_elim,[status(thm)],[14])).
% 0.40/0.56 tff(42,plain,
% 0.40/0.56 (![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.40/0.56 tff(43,plain,
% 0.40/0.56 (![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.40/0.56 tff(44,plain,
% 0.40/0.56 (((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | ((~man(Y!4, X1!2)) | (~((~present(Y!4, tptp_fun_X4_8(X1!2))) | (~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~smoke(Y!4, tptp_fun_X4_8(X1!2))))))) <=> ((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | (~man(Y!4, X1!2)) | (~((~present(Y!4, tptp_fun_X4_8(X1!2))) | (~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~smoke(Y!4, tptp_fun_X4_8(X1!2))))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(45,plain,
% 0.40/0.57 (((~man(Y!4, X1!2)) | (~((~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~present(Y!4, tptp_fun_X4_8(X1!2))) | (~smoke(Y!4, tptp_fun_X4_8(X1!2)))))) <=> ((~man(Y!4, X1!2)) | (~((~present(Y!4, tptp_fun_X4_8(X1!2))) | (~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~smoke(Y!4, tptp_fun_X4_8(X1!2))))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(46,plain,
% 0.40/0.57 (((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | ((~man(Y!4, X1!2)) | (~((~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~present(Y!4, tptp_fun_X4_8(X1!2))) | (~smoke(Y!4, tptp_fun_X4_8(X1!2))))))) <=> ((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | ((~man(Y!4, X1!2)) | (~((~present(Y!4, tptp_fun_X4_8(X1!2))) | (~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~smoke(Y!4, tptp_fun_X4_8(X1!2)))))))),
% 0.40/0.57 inference(monotonicity,[status(thm)],[45])).
% 0.40/0.57 tff(47,plain,
% 0.40/0.57 (((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | ((~man(Y!4, X1!2)) | (~((~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~present(Y!4, tptp_fun_X4_8(X1!2))) | (~smoke(Y!4, tptp_fun_X4_8(X1!2))))))) <=> ((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | (~man(Y!4, X1!2)) | (~((~present(Y!4, tptp_fun_X4_8(X1!2))) | (~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~smoke(Y!4, tptp_fun_X4_8(X1!2))))))),
% 0.40/0.57 inference(transitivity,[status(thm)],[46, 44])).
% 0.40/0.57 tff(48,plain,
% 0.40/0.57 ((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | ((~man(Y!4, X1!2)) | (~((~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~present(Y!4, tptp_fun_X4_8(X1!2))) | (~smoke(Y!4, tptp_fun_X4_8(X1!2))))))),
% 0.40/0.57 inference(quant_inst,[status(thm)],[])).
% 0.40/0.57 tff(49,plain,
% 0.40/0.57 ((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | (~man(Y!4, X1!2)) | (~((~present(Y!4, tptp_fun_X4_8(X1!2))) | (~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~smoke(Y!4, tptp_fun_X4_8(X1!2)))))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.40/0.57 tff(50,plain,
% 0.40/0.57 (~((~present(Y!4, tptp_fun_X4_8(X1!2))) | (~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~smoke(Y!4, tptp_fun_X4_8(X1!2))))),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[49, 43, 36])).
% 0.40/0.57 tff(51,plain,
% 0.40/0.57 (((~present(Y!4, tptp_fun_X4_8(X1!2))) | (~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~smoke(Y!4, tptp_fun_X4_8(X1!2)))) | smoke(Y!4, tptp_fun_X4_8(X1!2))),
% 0.40/0.57 inference(tautology,[status(thm)],[])).
% 0.40/0.57 tff(52,plain,
% 0.40/0.57 (smoke(Y!4, tptp_fun_X4_8(X1!2))),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[51, 50])).
% 0.40/0.57 tff(53,plain,
% 0.40/0.57 (((~present(Y!4, tptp_fun_X4_8(X1!2))) | (~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~smoke(Y!4, tptp_fun_X4_8(X1!2)))) | agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)),
% 0.40/0.57 inference(tautology,[status(thm)],[])).
% 0.40/0.57 tff(54,plain,
% 0.40/0.57 (agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[53, 50])).
% 0.40/0.57 tff(55,plain,
% 0.40/0.57 (((~present(Y!4, tptp_fun_X4_8(X1!2))) | (~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~smoke(Y!4, tptp_fun_X4_8(X1!2)))) | event(Y!4, tptp_fun_X4_8(X1!2))),
% 0.40/0.57 inference(tautology,[status(thm)],[])).
% 0.40/0.57 tff(56,plain,
% 0.40/0.57 (event(Y!4, tptp_fun_X4_8(X1!2))),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[55, 50])).
% 0.40/0.57 tff(57,plain,
% 0.40/0.57 (((~present(Y!4, tptp_fun_X4_8(X1!2))) | (~event(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)) | (~smoke(Y!4, tptp_fun_X4_8(X1!2)))) | present(Y!4, tptp_fun_X4_8(X1!2))),
% 0.40/0.57 inference(tautology,[status(thm)],[])).
% 0.40/0.57 tff(58,plain,
% 0.40/0.57 (present(Y!4, tptp_fun_X4_8(X1!2))),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[57, 50])).
% 0.40/0.57 tff(59,assumption,(![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)))), introduced(assumption)).
% 0.40/0.57 tff(60,plain,
% 0.40/0.57 (((~![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)))) | ((~event(Y!4, tptp_fun_X4_8(X1!2))) | (~present(Y!4, tptp_fun_X4_8(X1!2))) | (~smoke(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)))) <=> ((~![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)))) | (~event(Y!4, tptp_fun_X4_8(X1!2))) | (~present(Y!4, tptp_fun_X4_8(X1!2))) | (~smoke(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(61,plain,
% 0.40/0.57 ((~![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)))) | ((~event(Y!4, tptp_fun_X4_8(X1!2))) | (~present(Y!4, tptp_fun_X4_8(X1!2))) | (~smoke(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2)))),
% 0.40/0.57 inference(quant_inst,[status(thm)],[])).
% 0.40/0.57 tff(62,plain,
% 0.40/0.57 ((~![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)))) | (~event(Y!4, tptp_fun_X4_8(X1!2))) | (~present(Y!4, tptp_fun_X4_8(X1!2))) | (~smoke(Y!4, tptp_fun_X4_8(X1!2))) | (~agent(Y!4, tptp_fun_X4_8(X1!2), X1!2))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.40/0.57 tff(63,plain,
% 0.40/0.57 ($false),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[62, 59, 58, 56, 54, 52])).
% 0.40/0.57 tff(64,plain,(~![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.57 tff(65,plain,
% 0.40/0.57 (^[X5: $i] : rewrite(((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))))) <=> ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))))))),
% 0.40/0.57 inference(bind,[status(th)],[])).
% 0.40/0.57 tff(66,plain,
% 0.40/0.57 (![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))))) <=> ![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4))))))))),
% 0.40/0.57 inference(quant_intro,[status(thm)],[65])).
% 0.40/0.57 tff(67,plain,
% 0.40/0.57 (^[X5: $i] : refl(((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))))) <=> ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))))))),
% 0.40/0.57 inference(bind,[status(th)],[])).
% 0.40/0.57 tff(68,plain,
% 0.40/0.57 (![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))))) <=> ![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10)))))),
% 0.40/0.57 inference(quant_intro,[status(thm)],[67])).
% 0.40/0.57 tff(69,plain,
% 0.40/0.57 (^[X5: $i] : rewrite(((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))))) <=> ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))))))),
% 0.40/0.57 inference(bind,[status(th)],[])).
% 0.40/0.57 tff(70,plain,
% 0.40/0.57 (![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))))) <=> ![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10)))))),
% 0.40/0.57 inference(quant_intro,[status(thm)],[69])).
% 0.40/0.57 tff(71,plain,
% 0.40/0.57 (![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))))) <=> ![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10)))))),
% 0.40/0.57 inference(transitivity,[status(thm)],[70, 68])).
% 0.40/0.57 tff(72,plain,
% 0.40/0.57 (^[X5: $i] : rewrite(((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (man(Y, tptp_fun_X3_9(Y)) & ![X4: $i] : (~(event(Y, X4) & agent(Y, X4, tptp_fun_X3_9(Y)) & present(Y, X4) & smoke(Y, X4)))) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : (~(event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))))) <=> ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))))))),
% 0.40/0.57 inference(bind,[status(th)],[])).
% 0.40/0.57 tff(73,plain,
% 0.40/0.57 (![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (man(Y, tptp_fun_X3_9(Y)) & ![X4: $i] : (~(event(Y, X4) & agent(Y, X4, tptp_fun_X3_9(Y)) & present(Y, X4) & smoke(Y, X4)))) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : (~(event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))))) <=> ![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10)))))),
% 0.40/0.57 inference(quant_intro,[status(thm)],[72])).
% 0.40/0.57 tff(74,plain,
% 0.40/0.57 ((~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))))) <=> (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10)))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(75,plain,
% 0.40/0.57 (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))))),
% 0.40/0.58 inference(and_elim,[status(thm)],[11])).
% 0.40/0.58 tff(76,plain,
% 0.40/0.58 (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.40/0.58 tff(77,plain,
% 0.40/0.58 (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[76, 74])).
% 0.40/0.58 tff(78,plain,
% 0.40/0.58 (~?[X5: $i] : (actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[77, 74])).
% 0.40/0.58 tff(79,plain,
% 0.40/0.58 (^[X5: $i] : nnf_neg(refl($oeq((~actual_world(X5)), (~actual_world(X5)))), nnf_neg(proof_bind(^[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : nnf_neg(refl($oeq((~of(X5, X6, X1)), (~of(X5, X6, X1)))), refl($oeq((~jules_forename(X5, X6)), (~jules_forename(X5, X6)))), refl($oeq((~forename(X5, X6)), (~forename(X5, X6)))), refl($oeq((~of(X5, X7, V)), (~of(X5, X7, V)))), refl($oeq((~vincent_forename(X5, X7)), (~vincent_forename(X5, X7)))), refl($oeq((~forename(X5, X7)), (~forename(X5, X7)))), refl($oeq((~of(X5, W, V)), (~of(X5, W, V)))), refl($oeq((~man(X5, V)), (~man(X5, V)))), refl($oeq((~vincent_forename(X5, W)), (~vincent_forename(X5, W)))), refl($oeq((~forename(X5, W)), (~forename(X5, W)))), refl($oeq((~proposition(X5, Y)), (~proposition(X5, Y)))), refl($oeq((~agent(X5, X, V)), (~agent(X5, X, V)))), refl($oeq((~theme(X5, X, Y)), (~theme(X5, X, Y)))), refl($oeq((~event(X5, X)), (~event(X5, X)))), refl($oeq((~present(X5, X)), (~present(X5, X)))), refl($oeq((~think_believe_consider(X5, X)), (~think_believe_consider(X5, X)))), refl($oeq((~accessible_world(X5, Y)), (~accessible_world(X5, Y)))), trans(sk($oeq((~![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4)))), (~((~man(Y, tptp_fun_X3_9(Y))) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, tptp_fun_X3_9(Y)) & present(Y, X4) & smoke(Y, X4)))))), nnf_neg(refl($oeq(man(Y, tptp_fun_X3_9(Y)), man(Y, tptp_fun_X3_9(Y)))), nnf_neg(proof_bind(^[X4: $i] : refl($oeq((~(event(Y, X4) & agent(Y, X4, tptp_fun_X3_9(Y)) & present(Y, X4) & smoke(Y, X4))), (~(event(Y, X4) & agent(Y, X4, tptp_fun_X3_9(Y)) & present(Y, X4) & smoke(Y, X4)))))), $oeq((~?[X4: $i] : (event(Y, X4) & agent(Y, X4, tptp_fun_X3_9(Y)) & present(Y, X4) & smoke(Y, X4))), ![X4: $i] : (~(event(Y, X4) & agent(Y, X4, tptp_fun_X3_9(Y)) & present(Y, X4) & smoke(Y, X4))))), $oeq((~((~man(Y, tptp_fun_X3_9(Y))) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, tptp_fun_X3_9(Y)) & present(Y, X4) & smoke(Y, X4)))), (man(Y, tptp_fun_X3_9(Y)) & ![X4: $i] : (~(event(Y, X4) & agent(Y, X4, tptp_fun_X3_9(Y)) & present(Y, X4) & smoke(Y, X4)))))), $oeq((~![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4)))), (man(Y, tptp_fun_X3_9(Y)) & ![X4: $i] : (~(event(Y, X4) & agent(Y, X4, tptp_fun_X3_9(Y)) & present(Y, X4) & smoke(Y, X4)))))), refl($oeq((~of(X5, Z, X1)), (~of(X5, Z, X1)))), refl($oeq((~man(X5, X1)), (~man(X5, X1)))), refl($oeq((~jules_forename(X5, Z)), (~jules_forename(X5, Z)))), refl($oeq((~forename(X5, Z)), (~forename(X5, Z)))), refl($oeq((~state(X5, X2)), (~state(X5, X2)))), refl($oeq((~be(X5, X2, X1, X1)), (~be(X5, X2, X1, X1)))), refl($oeq((~proposition(X5, X9)), (~proposition(X5, X9)))), refl($oeq((~agent(X5, X8, V)), (~agent(X5, X8, V)))), refl($oeq((~theme(X5, X8, X9)), (~theme(X5, X8, X9)))), refl($oeq((~event(X5, X8)), (~event(X5, X8)))), refl($oeq((~present(X5, X8)), (~present(X5, X8)))), refl($oeq((~think_believe_consider(X5, X8)), (~think_believe_consider(X5, X8)))), refl($oeq((~accessible_world(X5, X9)), (~accessible_world(X5, X9)))), nnf_neg(proof_bind(^[X10: $i] : refl($oeq((~(event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))), (~(event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10)))))), $oeq((~?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))), ![X10: $i] : (~(event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))))), $oeq((~(of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10)))), ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (man(Y, tptp_fun_X3_9(Y)) & ![X4: $i] : (~(event(Y, X4) & agent(Y, X4, tptp_fun_X3_9(Y)) & present(Y, X4) & smoke(Y, X4)))) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : (~(event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))))))), $oeq((~?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10)))), ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (man(Y, tptp_fun_X3_9(Y)) & ![X4: $i] : (~(event(Y, X4) & agent(Y, X4, tptp_fun_X3_9(Y)) & present(Y, X4) & smoke(Y, X4)))) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : (~(event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10)))))), $oeq((~(actual_world(X5) & ?[X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (of(X5, X6, X1) & jules_forename(X5, X6) & forename(X5, X6) & of(X5, X7, V) & vincent_forename(X5, X7) & forename(X5, X7) & of(X5, W, V) & man(X5, V) & vincent_forename(X5, W) & forename(X5, W) & proposition(X5, Y) & agent(X5, X, V) & theme(X5, X, Y) & event(X5, X) & present(X5, X) & think_believe_consider(X5, X) & accessible_world(X5, Y) & ![X3: $i] : ((~man(Y, X3)) | ?[X4: $i] : (event(Y, X4) & agent(Y, X4, X3) & present(Y, X4) & smoke(Y, X4))) & of(X5, Z, X1) & man(X5, X1) & jules_forename(X5, Z) & forename(X5, Z) & state(X5, X2) & be(X5, X2, X1, X1) & proposition(X5, X9) & agent(X5, X8, V) & theme(X5, X8, X9) & event(X5, X8) & present(X5, X8) & think_believe_consider(X5, X8) & accessible_world(X5, X9) & ?[X10: $i] : (event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10))))), ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (man(Y, tptp_fun_X3_9(Y)) & ![X4: $i] : (~(event(Y, X4) & agent(Y, X4, tptp_fun_X3_9(Y)) & present(Y, X4) & smoke(Y, X4)))) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : (~(event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10)))))))),
% 0.40/0.58 inference(bind,[status(th)],[])).
% 0.40/0.58 tff(80,plain,(
% 0.40/0.58 ![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (man(Y, tptp_fun_X3_9(Y)) & ![X4: $i] : (~(event(Y, X4) & agent(Y, X4, tptp_fun_X3_9(Y)) & present(Y, X4) & smoke(Y, X4)))) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : (~(event(X9, X10) & agent(X9, X10, X1) & present(X9, X10) & smoke(X9, X10)))))),
% 0.40/0.58 inference(nnf-neg,[status(sab)],[78, 79])).
% 0.40/0.58 tff(81,plain,
% 0.40/0.58 (![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10)))))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[80, 73])).
% 0.40/0.58 tff(82,plain,
% 0.40/0.58 (![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10)))))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[81, 71])).
% 0.40/0.58 tff(83,plain,
% 0.40/0.58 (![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4))))))))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[82, 66])).
% 0.40/0.58 tff(84,plain,
% 0.40/0.58 (actual_world(U!0)),
% 0.40/0.58 inference(and_elim,[status(thm)],[14])).
% 0.40/0.58 tff(85,plain,
% 0.40/0.58 (((~![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4))))))))) | ((~actual_world(U!0)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | (~accessible_world(U!0, X9)) | (~think_believe_consider(U!0, X8)) | (~present(U!0, X8)) | (~event(U!0, X8)) | (~theme(U!0, X8, X9)) | (~agent(U!0, X8, V)) | (~proposition(U!0, X9)) | (~be(U!0, X2, X1, X1)) | (~state(U!0, X2)) | (~forename(U!0, Z)) | (~jules_forename(U!0, Z)) | (~man(U!0, X1)) | (~of(U!0, Z, X1)) | (~accessible_world(U!0, Y)) | (~think_believe_consider(U!0, X)) | (~present(U!0, X)) | (~event(U!0, X)) | (~theme(U!0, X, Y)) | (~agent(U!0, X, V)) | (~proposition(U!0, Y)) | (~forename(U!0, W)) | (~vincent_forename(U!0, W)) | (~man(U!0, V)) | (~of(U!0, W, V)) | (~forename(U!0, X7)) | (~vincent_forename(U!0, X7)) | (~of(U!0, X7, V)) | (~forename(U!0, X6)) | (~jules_forename(U!0, X6)) | (~of(U!0, X6, X1))))) <=> ((~![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4))))))))) | (~actual_world(U!0)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | (~accessible_world(U!0, X9)) | (~think_believe_consider(U!0, X8)) | (~present(U!0, X8)) | (~event(U!0, X8)) | (~theme(U!0, X8, X9)) | (~agent(U!0, X8, V)) | (~proposition(U!0, X9)) | (~be(U!0, X2, X1, X1)) | (~state(U!0, X2)) | (~forename(U!0, Z)) | (~jules_forename(U!0, Z)) | (~man(U!0, X1)) | (~of(U!0, Z, X1)) | (~accessible_world(U!0, Y)) | (~think_believe_consider(U!0, X)) | (~present(U!0, X)) | (~event(U!0, X)) | (~theme(U!0, X, Y)) | (~agent(U!0, X, V)) | (~proposition(U!0, Y)) | (~forename(U!0, W)) | (~vincent_forename(U!0, W)) | (~man(U!0, V)) | (~of(U!0, W, V)) | (~forename(U!0, X7)) | (~vincent_forename(U!0, X7)) | (~of(U!0, X7, V)) | (~forename(U!0, X6)) | (~jules_forename(U!0, X6)) | (~of(U!0, X6, X1))))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(86,plain,
% 0.40/0.58 (((~actual_world(U!0)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(U!0, X6, X1)) | (~jules_forename(U!0, X6)) | (~forename(U!0, X6)) | (~of(U!0, X7, V)) | (~vincent_forename(U!0, X7)) | (~forename(U!0, X7)) | (~of(U!0, W, V)) | (~man(U!0, V)) | (~vincent_forename(U!0, W)) | (~forename(U!0, W)) | (~proposition(U!0, Y)) | (~agent(U!0, X, V)) | (~theme(U!0, X, Y)) | (~event(U!0, X)) | (~present(U!0, X)) | (~think_believe_consider(U!0, X)) | (~accessible_world(U!0, Y)) | (~of(U!0, Z, X1)) | (~man(U!0, X1)) | (~jules_forename(U!0, Z)) | (~forename(U!0, Z)) | (~state(U!0, X2)) | (~be(U!0, X2, X1, X1)) | (~proposition(U!0, X9)) | (~agent(U!0, X8, V)) | (~theme(U!0, X8, X9)) | (~event(U!0, X8)) | (~present(U!0, X8)) | (~think_believe_consider(U!0, X8)) | (~accessible_world(U!0, X9)) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))))) <=> ((~actual_world(U!0)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | (~accessible_world(U!0, X9)) | (~think_believe_consider(U!0, X8)) | (~present(U!0, X8)) | (~event(U!0, X8)) | (~theme(U!0, X8, X9)) | (~agent(U!0, X8, V)) | (~proposition(U!0, X9)) | (~be(U!0, X2, X1, X1)) | (~state(U!0, X2)) | (~forename(U!0, Z)) | (~jules_forename(U!0, Z)) | (~man(U!0, X1)) | (~of(U!0, Z, X1)) | (~accessible_world(U!0, Y)) | (~think_believe_consider(U!0, X)) | (~present(U!0, X)) | (~event(U!0, X)) | (~theme(U!0, X, Y)) | (~agent(U!0, X, V)) | (~proposition(U!0, Y)) | (~forename(U!0, W)) | (~vincent_forename(U!0, W)) | (~man(U!0, V)) | (~of(U!0, W, V)) | (~forename(U!0, X7)) | (~vincent_forename(U!0, X7)) | (~of(U!0, X7, V)) | (~forename(U!0, X6)) | (~jules_forename(U!0, X6)) | (~of(U!0, X6, X1))))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(87,plain,
% 0.40/0.58 (((~![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4))))))))) | ((~actual_world(U!0)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(U!0, X6, X1)) | (~jules_forename(U!0, X6)) | (~forename(U!0, X6)) | (~of(U!0, X7, V)) | (~vincent_forename(U!0, X7)) | (~forename(U!0, X7)) | (~of(U!0, W, V)) | (~man(U!0, V)) | (~vincent_forename(U!0, W)) | (~forename(U!0, W)) | (~proposition(U!0, Y)) | (~agent(U!0, X, V)) | (~theme(U!0, X, Y)) | (~event(U!0, X)) | (~present(U!0, X)) | (~think_believe_consider(U!0, X)) | (~accessible_world(U!0, Y)) | (~of(U!0, Z, X1)) | (~man(U!0, X1)) | (~jules_forename(U!0, Z)) | (~forename(U!0, Z)) | (~state(U!0, X2)) | (~be(U!0, X2, X1, X1)) | (~proposition(U!0, X9)) | (~agent(U!0, X8, V)) | (~theme(U!0, X8, X9)) | (~event(U!0, X8)) | (~present(U!0, X8)) | (~think_believe_consider(U!0, X8)) | (~accessible_world(U!0, X9)) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4))))))))) <=> ((~![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4))))))))) | ((~actual_world(U!0)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | (~accessible_world(U!0, X9)) | (~think_believe_consider(U!0, X8)) | (~present(U!0, X8)) | (~event(U!0, X8)) | (~theme(U!0, X8, X9)) | (~agent(U!0, X8, V)) | (~proposition(U!0, X9)) | (~be(U!0, X2, X1, X1)) | (~state(U!0, X2)) | (~forename(U!0, Z)) | (~jules_forename(U!0, Z)) | (~man(U!0, X1)) | (~of(U!0, Z, X1)) | (~accessible_world(U!0, Y)) | (~think_believe_consider(U!0, X)) | (~present(U!0, X)) | (~event(U!0, X)) | (~theme(U!0, X, Y)) | (~agent(U!0, X, V)) | (~proposition(U!0, Y)) | (~forename(U!0, W)) | (~vincent_forename(U!0, W)) | (~man(U!0, V)) | (~of(U!0, W, V)) | (~forename(U!0, X7)) | (~vincent_forename(U!0, X7)) | (~of(U!0, X7, V)) | (~forename(U!0, X6)) | (~jules_forename(U!0, X6)) | (~of(U!0, X6, X1)))))),
% 0.40/0.58 inference(monotonicity,[status(thm)],[86])).
% 0.40/0.58 tff(88,plain,
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% 0.40/0.58 inference(transitivity,[status(thm)],[87, 85])).
% 0.40/0.59 tff(89,plain,
% 0.40/0.59 ((~![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4))))))))) | ((~actual_world(U!0)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(U!0, X6, X1)) | (~jules_forename(U!0, X6)) | (~forename(U!0, X6)) | (~of(U!0, X7, V)) | (~vincent_forename(U!0, X7)) | (~forename(U!0, X7)) | (~of(U!0, W, V)) | (~man(U!0, V)) | (~vincent_forename(U!0, W)) | (~forename(U!0, W)) | (~proposition(U!0, Y)) | (~agent(U!0, X, V)) | (~theme(U!0, X, Y)) | (~event(U!0, X)) | (~present(U!0, X)) | (~think_believe_consider(U!0, X)) | (~accessible_world(U!0, Y)) | (~of(U!0, Z, X1)) | (~man(U!0, X1)) | (~jules_forename(U!0, Z)) | (~forename(U!0, Z)) | (~state(U!0, X2)) | (~be(U!0, X2, X1, X1)) | (~proposition(U!0, X9)) | (~agent(U!0, X8, V)) | (~theme(U!0, X8, X9)) | (~event(U!0, X8)) | (~present(U!0, X8)) | (~think_believe_consider(U!0, X8)) | (~accessible_world(U!0, X9)) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4))))))))),
% 0.40/0.59 inference(quant_inst,[status(thm)],[])).
% 0.40/0.59 tff(90,plain,
% 0.40/0.59 ((~![X5: $i] : ((~actual_world(X5)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : ((~of(X5, X6, X1)) | (~jules_forename(X5, X6)) | (~forename(X5, X6)) | (~of(X5, X7, V)) | (~vincent_forename(X5, X7)) | (~forename(X5, X7)) | (~of(X5, W, V)) | (~man(X5, V)) | (~vincent_forename(X5, W)) | (~forename(X5, W)) | (~proposition(X5, Y)) | (~agent(X5, X, V)) | (~theme(X5, X, Y)) | (~event(X5, X)) | (~present(X5, X)) | (~think_believe_consider(X5, X)) | (~accessible_world(X5, Y)) | (~of(X5, Z, X1)) | (~man(X5, X1)) | (~jules_forename(X5, Z)) | (~forename(X5, Z)) | (~state(X5, X2)) | (~be(X5, X2, X1, X1)) | (~proposition(X5, X9)) | (~agent(X5, X8, V)) | (~theme(X5, X8, X9)) | (~event(X5, X8)) | (~present(X5, X8)) | (~think_believe_consider(X5, X8)) | (~accessible_world(X5, X9)) | ![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4))))))))) | (~actual_world(U!0)) | ![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | (~accessible_world(U!0, X9)) | (~think_believe_consider(U!0, X8)) | (~present(U!0, X8)) | (~event(U!0, X8)) | (~theme(U!0, X8, X9)) | (~agent(U!0, X8, V)) | (~proposition(U!0, X9)) | (~be(U!0, X2, X1, X1)) | (~state(U!0, X2)) | (~forename(U!0, Z)) | (~jules_forename(U!0, Z)) | (~man(U!0, X1)) | (~of(U!0, Z, X1)) | (~accessible_world(U!0, Y)) | (~think_believe_consider(U!0, X)) | (~present(U!0, X)) | (~event(U!0, X)) | (~theme(U!0, X, Y)) | (~agent(U!0, X, V)) | (~proposition(U!0, Y)) | (~forename(U!0, W)) | (~vincent_forename(U!0, W)) | (~man(U!0, V)) | (~of(U!0, W, V)) | (~forename(U!0, X7)) | (~vincent_forename(U!0, X7)) | (~of(U!0, X7, V)) | (~forename(U!0, X6)) | (~jules_forename(U!0, X6)) | (~of(U!0, X6, X1)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[89, 88])).
% 0.40/0.59 tff(91,plain,
% 0.40/0.59 (![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | (~accessible_world(U!0, X9)) | (~think_believe_consider(U!0, X8)) | (~present(U!0, X8)) | (~event(U!0, X8)) | (~theme(U!0, X8, X9)) | (~agent(U!0, X8, V)) | (~proposition(U!0, X9)) | (~be(U!0, X2, X1, X1)) | (~state(U!0, X2)) | (~forename(U!0, Z)) | (~jules_forename(U!0, Z)) | (~man(U!0, X1)) | (~of(U!0, Z, X1)) | (~accessible_world(U!0, Y)) | (~think_believe_consider(U!0, X)) | (~present(U!0, X)) | (~event(U!0, X)) | (~theme(U!0, X, Y)) | (~agent(U!0, X, V)) | (~proposition(U!0, Y)) | (~forename(U!0, W)) | (~vincent_forename(U!0, W)) | (~man(U!0, V)) | (~of(U!0, W, V)) | (~forename(U!0, X7)) | (~vincent_forename(U!0, X7)) | (~of(U!0, X7, V)) | (~forename(U!0, X6)) | (~jules_forename(U!0, X6)) | (~of(U!0, X6, X1)))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[90, 84, 83])).
% 0.40/0.59 tff(92,plain,
% 0.40/0.59 (be(U!0, X2!1, X1!2, X1!2)),
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% 0.40/0.59 tff(93,plain,
% 0.40/0.59 (state(U!0, X2!1)),
% 0.40/0.59 inference(and_elim,[status(thm)],[14])).
% 0.40/0.59 tff(94,plain,
% 0.40/0.59 (forename(U!0, Z!3)),
% 0.40/0.59 inference(and_elim,[status(thm)],[14])).
% 0.40/0.59 tff(95,plain,
% 0.40/0.59 (jules_forename(U!0, Z!3)),
% 0.40/0.59 inference(and_elim,[status(thm)],[14])).
% 0.40/0.59 tff(96,plain,
% 0.40/0.59 (of(U!0, Z!3, X1!2)),
% 0.40/0.59 inference(and_elim,[status(thm)],[14])).
% 0.40/0.59 tff(97,plain,
% 0.40/0.59 (think_believe_consider(U!0, X!5)),
% 0.40/0.59 inference(and_elim,[status(thm)],[14])).
% 0.40/0.59 tff(98,plain,
% 0.40/0.59 (present(U!0, X!5)),
% 0.40/0.59 inference(and_elim,[status(thm)],[14])).
% 0.40/0.59 tff(99,plain,
% 0.40/0.59 (event(U!0, X!5)),
% 0.40/0.59 inference(and_elim,[status(thm)],[14])).
% 0.40/0.59 tff(100,plain,
% 0.40/0.59 (theme(U!0, X!5, Y!4)),
% 0.40/0.59 inference(and_elim,[status(thm)],[14])).
% 0.40/0.59 tff(101,plain,
% 0.40/0.59 (agent(U!0, X!5, V!7)),
% 0.40/0.59 inference(and_elim,[status(thm)],[14])).
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% 0.40/0.59 tff(103,plain,
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% 0.40/0.59 inference(and_elim,[status(thm)],[14])).
% 0.40/0.59 tff(104,plain,
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% 0.40/0.59 inference(and_elim,[status(thm)],[14])).
% 0.40/0.59 tff(105,plain,
% 0.40/0.59 (man(U!0, V!7)),
% 0.40/0.59 inference(and_elim,[status(thm)],[14])).
% 0.40/0.59 tff(106,plain,
% 0.40/0.59 (of(U!0, W!6, V!7)),
% 0.40/0.59 inference(and_elim,[status(thm)],[14])).
% 0.40/0.59 tff(107,plain,
% 0.40/0.59 (((~![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | (~accessible_world(U!0, X9)) | (~think_believe_consider(U!0, X8)) | (~present(U!0, X8)) | (~event(U!0, X8)) | (~theme(U!0, X8, X9)) | (~agent(U!0, X8, V)) | (~proposition(U!0, X9)) | (~be(U!0, X2, X1, X1)) | (~state(U!0, X2)) | (~forename(U!0, Z)) | (~jules_forename(U!0, Z)) | (~man(U!0, X1)) | (~of(U!0, Z, X1)) | (~accessible_world(U!0, Y)) | (~think_believe_consider(U!0, X)) | (~present(U!0, X)) | (~event(U!0, X)) | (~theme(U!0, X, Y)) | (~agent(U!0, X, V)) | (~proposition(U!0, Y)) | (~forename(U!0, W)) | (~vincent_forename(U!0, W)) | (~man(U!0, V)) | (~of(U!0, W, V)) | (~forename(U!0, X7)) | (~vincent_forename(U!0, X7)) | (~of(U!0, X7, V)) | (~forename(U!0, X6)) | (~jules_forename(U!0, X6)) | (~of(U!0, X6, X1)))) | ((~forename(U!0, W!6)) | (~forename(U!0, Z!3)) | (~man(U!0, V!7)) | (~man(U!0, X1!2)) | (~state(U!0, X2!1)) | (~event(U!0, X!5)) | (~proposition(U!0, Y!4)) | (~of(U!0, W!6, V!7)) | (~of(U!0, Z!3, X1!2)) | (~jules_forename(U!0, Z!3)) | (~vincent_forename(U!0, W!6)) | (~agent(U!0, X!5, V!7)) | (~theme(U!0, X!5, Y!4)) | (~present(U!0, X!5)) | (~think_believe_consider(U!0, X!5)) | (~accessible_world(U!0, Y!4)) | (~be(U!0, X2!1, X1!2, X1!2)) | (~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))) | ![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2))))) <=> ((~![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | (~accessible_world(U!0, X9)) | (~think_believe_consider(U!0, X8)) | (~present(U!0, X8)) | (~event(U!0, X8)) | (~theme(U!0, X8, X9)) | (~agent(U!0, X8, V)) | (~proposition(U!0, X9)) | (~be(U!0, X2, X1, X1)) | (~state(U!0, X2)) | (~forename(U!0, Z)) | (~jules_forename(U!0, Z)) | (~man(U!0, X1)) | (~of(U!0, Z, X1)) | (~accessible_world(U!0, Y)) | (~think_believe_consider(U!0, X)) | (~present(U!0, X)) | (~event(U!0, X)) | (~theme(U!0, X, Y)) | (~agent(U!0, X, V)) | (~proposition(U!0, Y)) | (~forename(U!0, W)) | (~vincent_forename(U!0, W)) | (~man(U!0, V)) | (~of(U!0, W, V)) | (~forename(U!0, X7)) | (~vincent_forename(U!0, X7)) | (~of(U!0, X7, V)) | (~forename(U!0, X6)) | (~jules_forename(U!0, X6)) | (~of(U!0, X6, X1)))) | (~forename(U!0, W!6)) | (~forename(U!0, Z!3)) | (~man(U!0, V!7)) | (~man(U!0, X1!2)) | (~state(U!0, X2!1)) | (~event(U!0, X!5)) | (~proposition(U!0, Y!4)) | (~of(U!0, W!6, V!7)) | (~of(U!0, Z!3, X1!2)) | (~jules_forename(U!0, Z!3)) | (~vincent_forename(U!0, W!6)) | (~agent(U!0, X!5, V!7)) | (~theme(U!0, X!5, Y!4)) | (~present(U!0, X!5)) | (~think_believe_consider(U!0, X!5)) | (~accessible_world(U!0, Y!4)) | (~be(U!0, X2!1, X1!2, X1!2)) | (~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))) | ![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(108,plain,
% 0.40/0.59 ((![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2))) | (~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))) | (~accessible_world(U!0, Y!4)) | (~think_believe_consider(U!0, X!5)) | (~present(U!0, X!5)) | (~event(U!0, X!5)) | (~theme(U!0, X!5, Y!4)) | (~agent(U!0, X!5, V!7)) | (~proposition(U!0, Y!4)) | (~be(U!0, X2!1, X1!2, X1!2)) | (~state(U!0, X2!1)) | (~forename(U!0, Z!3)) | (~jules_forename(U!0, Z!3)) | (~man(U!0, X1!2)) | (~of(U!0, Z!3, X1!2)) | (~accessible_world(U!0, Y!4)) | (~think_believe_consider(U!0, X!5)) | (~present(U!0, X!5)) | (~event(U!0, X!5)) | (~theme(U!0, X!5, Y!4)) | (~agent(U!0, X!5, V!7)) | (~proposition(U!0, Y!4)) | (~forename(U!0, W!6)) | (~vincent_forename(U!0, W!6)) | (~man(U!0, V!7)) | (~of(U!0, W!6, V!7)) | (~forename(U!0, W!6)) | (~vincent_forename(U!0, W!6)) | (~of(U!0, W!6, V!7)) | (~forename(U!0, Z!3)) | (~jules_forename(U!0, Z!3)) | (~of(U!0, Z!3, X1!2))) <=> ((~forename(U!0, W!6)) | (~forename(U!0, Z!3)) | (~man(U!0, V!7)) | (~man(U!0, X1!2)) | (~state(U!0, X2!1)) | (~event(U!0, X!5)) | (~proposition(U!0, Y!4)) | (~of(U!0, W!6, V!7)) | (~of(U!0, Z!3, X1!2)) | (~jules_forename(U!0, Z!3)) | (~vincent_forename(U!0, W!6)) | (~agent(U!0, X!5, V!7)) | (~theme(U!0, X!5, Y!4)) | (~present(U!0, X!5)) | (~think_believe_consider(U!0, X!5)) | (~accessible_world(U!0, Y!4)) | (~be(U!0, X2!1, X1!2, X1!2)) | (~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))) | ![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(109,plain,
% 0.40/0.59 ((~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))) <=> (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(110,plain,
% 0.40/0.59 (((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4))))) <=> ((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[109])).
% 0.40/0.59 tff(111,plain,
% 0.40/0.59 ((~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))) <=> (~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4))))))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[110])).
% 0.40/0.59 tff(112,plain,
% 0.40/0.59 (^[X10: $i] : rewrite(((~event(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)) | (~present(Y!4, X10))) <=> ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2))))),
% 0.40/0.59 inference(bind,[status(th)],[])).
% 0.40/0.59 tff(113,plain,
% 0.40/0.59 (![X10: $i] : ((~event(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)) | (~present(Y!4, X10))) <=> ![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)))),
% 0.40/0.59 inference(quant_intro,[status(thm)],[112])).
% 0.40/0.59 tff(114,plain,
% 0.40/0.59 ((![X10: $i] : ((~event(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)) | (~present(Y!4, X10))) | (~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))) | (~accessible_world(U!0, Y!4)) | (~think_believe_consider(U!0, X!5)) | (~present(U!0, X!5)) | (~event(U!0, X!5)) | (~theme(U!0, X!5, Y!4)) | (~agent(U!0, X!5, V!7)) | (~proposition(U!0, Y!4)) | (~be(U!0, X2!1, X1!2, X1!2)) | (~state(U!0, X2!1)) | (~forename(U!0, Z!3)) | (~jules_forename(U!0, Z!3)) | (~man(U!0, X1!2)) | (~of(U!0, Z!3, X1!2)) | (~accessible_world(U!0, Y!4)) | (~think_believe_consider(U!0, X!5)) | (~present(U!0, X!5)) | (~event(U!0, X!5)) | (~theme(U!0, X!5, Y!4)) | (~agent(U!0, X!5, V!7)) | (~proposition(U!0, Y!4)) | (~forename(U!0, W!6)) | (~vincent_forename(U!0, W!6)) | (~man(U!0, V!7)) | (~of(U!0, W!6, V!7)) | (~forename(U!0, W!6)) | (~vincent_forename(U!0, W!6)) | (~of(U!0, W!6, V!7)) | (~forename(U!0, Z!3)) | (~jules_forename(U!0, Z!3)) | (~of(U!0, Z!3, X1!2))) <=> (![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2))) | (~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))) | (~accessible_world(U!0, Y!4)) | (~think_believe_consider(U!0, X!5)) | (~present(U!0, X!5)) | (~event(U!0, X!5)) | (~theme(U!0, X!5, Y!4)) | (~agent(U!0, X!5, V!7)) | (~proposition(U!0, Y!4)) | (~be(U!0, X2!1, X1!2, X1!2)) | (~state(U!0, X2!1)) | (~forename(U!0, Z!3)) | (~jules_forename(U!0, Z!3)) | (~man(U!0, X1!2)) | (~of(U!0, Z!3, X1!2)) | (~accessible_world(U!0, Y!4)) | (~think_believe_consider(U!0, X!5)) | (~present(U!0, X!5)) | (~event(U!0, X!5)) | (~theme(U!0, X!5, Y!4)) | (~agent(U!0, X!5, V!7)) | (~proposition(U!0, Y!4)) | (~forename(U!0, W!6)) | (~vincent_forename(U!0, W!6)) | (~man(U!0, V!7)) | (~of(U!0, W!6, V!7)) | (~forename(U!0, W!6)) | (~vincent_forename(U!0, W!6)) | (~of(U!0, W!6, V!7)) | (~forename(U!0, Z!3)) | (~jules_forename(U!0, Z!3)) | (~of(U!0, Z!3, X1!2)))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[113, 111])).
% 0.40/0.59 tff(115,plain,
% 0.40/0.59 ((![X10: $i] : ((~event(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)) | (~present(Y!4, X10))) | (~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))) | (~accessible_world(U!0, Y!4)) | (~think_believe_consider(U!0, X!5)) | (~present(U!0, X!5)) | (~event(U!0, X!5)) | (~theme(U!0, X!5, Y!4)) | (~agent(U!0, X!5, V!7)) | (~proposition(U!0, Y!4)) | (~be(U!0, X2!1, X1!2, X1!2)) | (~state(U!0, X2!1)) | (~forename(U!0, Z!3)) | (~jules_forename(U!0, Z!3)) | (~man(U!0, X1!2)) | (~of(U!0, Z!3, X1!2)) | (~accessible_world(U!0, Y!4)) | (~think_believe_consider(U!0, X!5)) | (~present(U!0, X!5)) | (~event(U!0, X!5)) | (~theme(U!0, X!5, Y!4)) | (~agent(U!0, X!5, V!7)) | (~proposition(U!0, Y!4)) | (~forename(U!0, W!6)) | (~vincent_forename(U!0, W!6)) | (~man(U!0, V!7)) | (~of(U!0, W!6, V!7)) | (~forename(U!0, W!6)) | (~vincent_forename(U!0, W!6)) | (~of(U!0, W!6, V!7)) | (~forename(U!0, Z!3)) | (~jules_forename(U!0, Z!3)) | (~of(U!0, Z!3, X1!2))) <=> ((~forename(U!0, W!6)) | (~forename(U!0, Z!3)) | (~man(U!0, V!7)) | (~man(U!0, X1!2)) | (~state(U!0, X2!1)) | (~event(U!0, X!5)) | (~proposition(U!0, Y!4)) | (~of(U!0, W!6, V!7)) | (~of(U!0, Z!3, X1!2)) | (~jules_forename(U!0, Z!3)) | (~vincent_forename(U!0, W!6)) | (~agent(U!0, X!5, V!7)) | (~theme(U!0, X!5, Y!4)) | (~present(U!0, X!5)) | (~think_believe_consider(U!0, X!5)) | (~accessible_world(U!0, Y!4)) | (~be(U!0, X2!1, X1!2, X1!2)) | (~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))) | ![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2))))),
% 0.40/0.60 inference(transitivity,[status(thm)],[114, 108])).
% 0.40/0.60 tff(116,plain,
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% 0.40/0.60 inference(monotonicity,[status(thm)],[115])).
% 0.40/0.60 tff(117,plain,
% 0.40/0.60 (((~![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | (~accessible_world(U!0, X9)) | (~think_believe_consider(U!0, X8)) | (~present(U!0, X8)) | (~event(U!0, X8)) | (~theme(U!0, X8, X9)) | (~agent(U!0, X8, V)) | (~proposition(U!0, X9)) | (~be(U!0, X2, X1, X1)) | (~state(U!0, X2)) | (~forename(U!0, Z)) | (~jules_forename(U!0, Z)) | (~man(U!0, X1)) | (~of(U!0, Z, X1)) | (~accessible_world(U!0, Y)) | (~think_believe_consider(U!0, X)) | (~present(U!0, X)) | (~event(U!0, X)) | (~theme(U!0, X, Y)) | (~agent(U!0, X, V)) | (~proposition(U!0, Y)) | (~forename(U!0, W)) | (~vincent_forename(U!0, W)) | (~man(U!0, V)) | (~of(U!0, W, V)) | (~forename(U!0, X7)) | (~vincent_forename(U!0, X7)) | (~of(U!0, X7, V)) | (~forename(U!0, X6)) | (~jules_forename(U!0, X6)) | (~of(U!0, X6, X1)))) | (![X10: $i] : ((~event(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)) | (~present(Y!4, X10))) | (~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))) | (~accessible_world(U!0, Y!4)) | (~think_believe_consider(U!0, X!5)) | (~present(U!0, X!5)) | (~event(U!0, X!5)) | (~theme(U!0, X!5, Y!4)) | (~agent(U!0, X!5, V!7)) | (~proposition(U!0, Y!4)) | (~be(U!0, X2!1, X1!2, X1!2)) | (~state(U!0, X2!1)) | (~forename(U!0, Z!3)) | (~jules_forename(U!0, Z!3)) | (~man(U!0, X1!2)) | (~of(U!0, Z!3, X1!2)) | (~accessible_world(U!0, Y!4)) | (~think_believe_consider(U!0, X!5)) | (~present(U!0, X!5)) | (~event(U!0, X!5)) | (~theme(U!0, X!5, Y!4)) | (~agent(U!0, X!5, V!7)) | (~proposition(U!0, Y!4)) | (~forename(U!0, W!6)) | (~vincent_forename(U!0, W!6)) | (~man(U!0, V!7)) | (~of(U!0, W!6, V!7)) | (~forename(U!0, W!6)) | (~vincent_forename(U!0, W!6)) | (~of(U!0, W!6, V!7)) | (~forename(U!0, Z!3)) | (~jules_forename(U!0, Z!3)) | (~of(U!0, Z!3, X1!2)))) <=> ((~![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | (~accessible_world(U!0, X9)) | (~think_believe_consider(U!0, X8)) | (~present(U!0, X8)) | (~event(U!0, X8)) | (~theme(U!0, X8, X9)) | (~agent(U!0, X8, V)) | (~proposition(U!0, X9)) | (~be(U!0, X2, X1, X1)) | (~state(U!0, X2)) | (~forename(U!0, Z)) | (~jules_forename(U!0, Z)) | (~man(U!0, X1)) | (~of(U!0, Z, X1)) | (~accessible_world(U!0, Y)) | (~think_believe_consider(U!0, X)) | (~present(U!0, X)) | (~event(U!0, X)) | (~theme(U!0, X, Y)) | (~agent(U!0, X, V)) | (~proposition(U!0, Y)) | (~forename(U!0, W)) | (~vincent_forename(U!0, W)) | (~man(U!0, V)) | (~of(U!0, W, V)) | (~forename(U!0, X7)) | (~vincent_forename(U!0, X7)) | (~of(U!0, X7, V)) | (~forename(U!0, X6)) | (~jules_forename(U!0, X6)) | (~of(U!0, X6, X1)))) | (~forename(U!0, W!6)) | (~forename(U!0, Z!3)) | (~man(U!0, V!7)) | (~man(U!0, X1!2)) | (~state(U!0, X2!1)) | (~event(U!0, X!5)) | (~proposition(U!0, Y!4)) | (~of(U!0, W!6, V!7)) | (~of(U!0, Z!3, X1!2)) | (~jules_forename(U!0, Z!3)) | (~vincent_forename(U!0, W!6)) | (~agent(U!0, X!5, V!7)) | (~theme(U!0, X!5, Y!4)) | (~present(U!0, X!5)) | (~think_believe_consider(U!0, X!5)) | (~accessible_world(U!0, Y!4)) | (~be(U!0, X2!1, X1!2, X1!2)) | (~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))) | ![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2))))),
% 0.40/0.60 inference(transitivity,[status(thm)],[116, 107])).
% 0.40/0.60 tff(118,plain,
% 0.40/0.60 ((~![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | (~accessible_world(U!0, X9)) | (~think_believe_consider(U!0, X8)) | (~present(U!0, X8)) | (~event(U!0, X8)) | (~theme(U!0, X8, X9)) | (~agent(U!0, X8, V)) | (~proposition(U!0, X9)) | (~be(U!0, X2, X1, X1)) | (~state(U!0, X2)) | (~forename(U!0, Z)) | (~jules_forename(U!0, Z)) | (~man(U!0, X1)) | (~of(U!0, Z, X1)) | (~accessible_world(U!0, Y)) | (~think_believe_consider(U!0, X)) | (~present(U!0, X)) | (~event(U!0, X)) | (~theme(U!0, X, Y)) | (~agent(U!0, X, V)) | (~proposition(U!0, Y)) | (~forename(U!0, W)) | (~vincent_forename(U!0, W)) | (~man(U!0, V)) | (~of(U!0, W, V)) | (~forename(U!0, X7)) | (~vincent_forename(U!0, X7)) | (~of(U!0, X7, V)) | (~forename(U!0, X6)) | (~jules_forename(U!0, X6)) | (~of(U!0, X6, X1)))) | (![X10: $i] : ((~event(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)) | (~present(Y!4, X10))) | (~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))) | (~accessible_world(U!0, Y!4)) | (~think_believe_consider(U!0, X!5)) | (~present(U!0, X!5)) | (~event(U!0, X!5)) | (~theme(U!0, X!5, Y!4)) | (~agent(U!0, X!5, V!7)) | (~proposition(U!0, Y!4)) | (~be(U!0, X2!1, X1!2, X1!2)) | (~state(U!0, X2!1)) | (~forename(U!0, Z!3)) | (~jules_forename(U!0, Z!3)) | (~man(U!0, X1!2)) | (~of(U!0, Z!3, X1!2)) | (~accessible_world(U!0, Y!4)) | (~think_believe_consider(U!0, X!5)) | (~present(U!0, X!5)) | (~event(U!0, X!5)) | (~theme(U!0, X!5, Y!4)) | (~agent(U!0, X!5, V!7)) | (~proposition(U!0, Y!4)) | (~forename(U!0, W!6)) | (~vincent_forename(U!0, W!6)) | (~man(U!0, V!7)) | (~of(U!0, W!6, V!7)) | (~forename(U!0, W!6)) | (~vincent_forename(U!0, W!6)) | (~of(U!0, W!6, V!7)) | (~forename(U!0, Z!3)) | (~jules_forename(U!0, Z!3)) | (~of(U!0, Z!3, X1!2)))),
% 0.40/0.60 inference(quant_inst,[status(thm)],[])).
% 0.40/0.60 tff(119,plain,
% 0.40/0.60 ((~![X6: $i, X7: $i, V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X8: $i, X9: $i] : (![X10: $i] : ((~event(X9, X10)) | (~smoke(X9, X10)) | (~agent(X9, X10, X1)) | (~present(X9, X10))) | (~((~man(Y, tptp_fun_X3_9(Y))) | (~![X4: $i] : ((~event(Y, X4)) | (~agent(Y, X4, tptp_fun_X3_9(Y))) | (~present(Y, X4)) | (~smoke(Y, X4)))))) | (~accessible_world(U!0, X9)) | (~think_believe_consider(U!0, X8)) | (~present(U!0, X8)) | (~event(U!0, X8)) | (~theme(U!0, X8, X9)) | (~agent(U!0, X8, V)) | (~proposition(U!0, X9)) | (~be(U!0, X2, X1, X1)) | (~state(U!0, X2)) | (~forename(U!0, Z)) | (~jules_forename(U!0, Z)) | (~man(U!0, X1)) | (~of(U!0, Z, X1)) | (~accessible_world(U!0, Y)) | (~think_believe_consider(U!0, X)) | (~present(U!0, X)) | (~event(U!0, X)) | (~theme(U!0, X, Y)) | (~agent(U!0, X, V)) | (~proposition(U!0, Y)) | (~forename(U!0, W)) | (~vincent_forename(U!0, W)) | (~man(U!0, V)) | (~of(U!0, W, V)) | (~forename(U!0, X7)) | (~vincent_forename(U!0, X7)) | (~of(U!0, X7, V)) | (~forename(U!0, X6)) | (~jules_forename(U!0, X6)) | (~of(U!0, X6, X1)))) | (~forename(U!0, W!6)) | (~forename(U!0, Z!3)) | (~man(U!0, V!7)) | (~man(U!0, X1!2)) | (~state(U!0, X2!1)) | (~event(U!0, X!5)) | (~proposition(U!0, Y!4)) | (~of(U!0, W!6, V!7)) | (~of(U!0, Z!3, X1!2)) | (~jules_forename(U!0, Z!3)) | (~vincent_forename(U!0, W!6)) | (~agent(U!0, X!5, V!7)) | (~theme(U!0, X!5, Y!4)) | (~present(U!0, X!5)) | (~think_believe_consider(U!0, X!5)) | (~accessible_world(U!0, Y!4)) | (~be(U!0, X2!1, X1!2, X1!2)) | (~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))) | ![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[118, 117])).
% 0.40/0.60 tff(120,plain,
% 0.40/0.60 ((~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))) | ![X10: $i] : ((~event(Y!4, X10)) | (~present(Y!4, X10)) | (~smoke(Y!4, X10)) | (~agent(Y!4, X10, X1!2)))),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[119, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 16, 96, 15, 95, 94, 93, 92, 91])).
% 0.40/0.60 tff(121,plain,
% 0.40/0.60 (~((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))))),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[120, 64])).
% 0.40/0.60 tff(122,plain,
% 0.40/0.60 (((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4))))) | man(Y!4, tptp_fun_X3_9(Y!4))),
% 0.40/0.60 inference(tautology,[status(thm)],[])).
% 0.40/0.60 tff(123,plain,
% 0.40/0.60 (man(Y!4, tptp_fun_X3_9(Y!4))),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[122, 121])).
% 0.40/0.60 tff(124,plain,
% 0.40/0.60 (((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | ((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))))) <=> ((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | (~man(Y!4, tptp_fun_X3_9(Y!4))) | (~((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))))),
% 0.40/0.60 inference(rewrite,[status(thm)],[])).
% 0.40/0.60 tff(125,plain,
% 0.40/0.60 (((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4))))))) <=> ((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))))),
% 0.40/0.60 inference(rewrite,[status(thm)],[])).
% 0.40/0.60 tff(126,plain,
% 0.40/0.60 (((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | ((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))))) <=> ((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | ((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4))))))))),
% 0.40/0.60 inference(monotonicity,[status(thm)],[125])).
% 0.40/0.60 tff(127,plain,
% 0.40/0.60 (((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | ((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))))) <=> ((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | (~man(Y!4, tptp_fun_X3_9(Y!4))) | (~((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))))),
% 0.40/0.60 inference(transitivity,[status(thm)],[126, 124])).
% 0.40/0.60 tff(128,plain,
% 0.40/0.60 ((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | ((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))))),
% 0.40/0.60 inference(quant_inst,[status(thm)],[])).
% 0.40/0.60 tff(129,plain,
% 0.40/0.60 ((~![X3: $i] : ((~man(Y!4, X3)) | (~((~event(Y!4, tptp_fun_X4_8(X3))) | (~agent(Y!4, tptp_fun_X4_8(X3), X3)) | (~present(Y!4, tptp_fun_X4_8(X3))) | (~smoke(Y!4, tptp_fun_X4_8(X3))))))) | (~man(Y!4, tptp_fun_X3_9(Y!4))) | (~((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4))))))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.40/0.60 tff(130,plain,
% 0.40/0.60 (~((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[129, 43, 123])).
% 0.40/0.60 tff(131,plain,
% 0.40/0.60 (((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4))))) | present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))),
% 0.40/0.60 inference(tautology,[status(thm)],[])).
% 0.40/0.60 tff(132,plain,
% 0.40/0.60 (present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[131, 130])).
% 0.40/0.60 tff(133,plain,
% 0.40/0.60 (((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4))))) | smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))),
% 0.40/0.60 inference(tautology,[status(thm)],[])).
% 0.40/0.60 tff(134,plain,
% 0.40/0.60 (smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[133, 130])).
% 0.40/0.60 tff(135,plain,
% 0.40/0.60 (((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4))))) | agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))),
% 0.40/0.61 inference(tautology,[status(thm)],[])).
% 0.40/0.61 tff(136,plain,
% 0.40/0.61 (agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[135, 130])).
% 0.40/0.61 tff(137,plain,
% 0.40/0.61 (((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4))))) | event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))),
% 0.40/0.61 inference(tautology,[status(thm)],[])).
% 0.40/0.61 tff(138,plain,
% 0.40/0.61 (event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[137, 130])).
% 0.40/0.61 tff(139,plain,
% 0.40/0.61 (((~man(Y!4, tptp_fun_X3_9(Y!4))) | (~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4))))) | ![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))),
% 0.40/0.61 inference(tautology,[status(thm)],[])).
% 0.40/0.61 tff(140,plain,
% 0.40/0.61 (![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[139, 121])).
% 0.40/0.61 tff(141,plain,
% 0.40/0.61 (((~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))) | ((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))) <=> ((~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))) | (~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))),
% 0.40/0.61 inference(rewrite,[status(thm)],[])).
% 0.40/0.61 tff(142,plain,
% 0.40/0.61 (((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4))))) <=> ((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))),
% 0.40/0.61 inference(rewrite,[status(thm)],[])).
% 0.40/0.61 tff(143,plain,
% 0.40/0.61 (((~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))) | ((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))) <=> ((~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))) | ((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4))))))),
% 0.40/0.61 inference(monotonicity,[status(thm)],[142])).
% 0.40/0.61 tff(144,plain,
% 0.40/0.61 (((~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))) | ((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))) <=> ((~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))) | (~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))),
% 0.40/0.61 inference(transitivity,[status(thm)],[143, 141])).
% 0.40/0.61 tff(145,plain,
% 0.40/0.61 ((~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))) | ((~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))))),
% 0.40/0.61 inference(quant_inst,[status(thm)],[])).
% 0.40/0.61 tff(146,plain,
% 0.40/0.61 ((~![X4: $i] : ((~event(Y!4, X4)) | (~agent(Y!4, X4, tptp_fun_X3_9(Y!4))) | (~present(Y!4, X4)) | (~smoke(Y!4, X4)))) | (~event(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~agent(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)), tptp_fun_X3_9(Y!4))) | (~smoke(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4)))) | (~present(Y!4, tptp_fun_X4_8(tptp_fun_X3_9(Y!4))))),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.40/0.61 tff(147,plain,
% 0.40/0.61 ($false),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[146, 140, 138, 136, 134, 132])).
% 0.40/0.61 % SZS output end Proof
% 0.40/0.61 % E exiting
%------------------------------------------------------------------------------