%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NLP208+1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.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 05:18:24 AM UTC 2025
% Result : Theorem 0.18s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NLP208+1 : TPTP v9.0.0. Released v2.4.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 19 23:52:05 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.18/0.39 % SZS status Theorem
% 0.18/0.39 % SZS output start Proof
% 0.18/0.39 tff(object_type, type, (
% 0.18/0.39 object: ( $i * $i ) > $o)).
% 0.18/0.39 tff(tptp_fun_X5_4_type, type, (
% 0.18/0.39 tptp_fun_X5_4: $i)).
% 0.18/0.39 tff(tptp_fun_U_3_type, type, (
% 0.18/0.39 tptp_fun_U_3: $i)).
% 0.18/0.39 tff(unisex_type, type, (
% 0.18/0.39 unisex: ( $i * $i ) > $o)).
% 0.18/0.39 tff(male_type, type, (
% 0.18/0.39 male: ( $i * $i ) > $o)).
% 0.18/0.39 tff(tptp_fun_V_13_type, type, (
% 0.18/0.39 tptp_fun_V_13: $i)).
% 0.18/0.39 tff(be_type, type, (
% 0.18/0.39 be: ( $i * $i * $i * $i ) > $o)).
% 0.18/0.39 tff(tptp_fun_X4_5_type, type, (
% 0.18/0.39 tptp_fun_X4_5: $i)).
% 0.18/0.39 tff(behind_type, type, (
% 0.18/0.39 behind: ( $i * $i * $i ) > $o)).
% 0.18/0.39 tff(state_type, type, (
% 0.18/0.39 state: ( $i * $i ) > $o)).
% 0.18/0.39 tff(wheel_type, type, (
% 0.18/0.39 wheel: ( $i * $i ) > $o)).
% 0.18/0.39 tff(cheap_type, type, (
% 0.18/0.39 cheap: ( $i * $i ) > $o)).
% 0.18/0.39 tff(black_type, type, (
% 0.18/0.39 black: ( $i * $i ) > $o)).
% 0.18/0.39 tff(coat_type, type, (
% 0.18/0.39 coat: ( $i * $i ) > $o)).
% 0.18/0.39 tff(member_type, type, (
% 0.18/0.39 member: ( $i * $i * $i ) > $o)).
% 0.18/0.39 tff(tptp_fun_X3_6_type, type, (
% 0.18/0.39 tptp_fun_X3_6: $i)).
% 0.18/0.39 tff(group_type, type, (
% 0.18/0.39 group: ( $i * $i ) > $o)).
% 0.18/0.39 tff(wear_type, type, (
% 0.18/0.39 wear: ( $i * $i ) > $o)).
% 0.18/0.39 tff(tptp_fun_X12_16_type, type, (
% 0.18/0.39 tptp_fun_X12_16: ( $i * $i ) > $i)).
% 0.18/0.39 tff(nonreflexive_type, type, (
% 0.18/0.39 nonreflexive: ( $i * $i ) > $o)).
% 0.18/0.39 tff(present_type, type, (
% 0.18/0.39 present: ( $i * $i ) > $o)).
% 0.18/0.39 tff(patient_type, type, (
% 0.18/0.39 patient: ( $i * $i * $i ) > $o)).
% 0.18/0.39 tff(agent_type, type, (
% 0.18/0.39 agent: ( $i * $i * $i ) > $o)).
% 0.18/0.39 tff(event_type, type, (
% 0.18/0.39 event: ( $i * $i ) > $o)).
% 0.18/0.39 tff(tptp_fun_X2_7_type, type, (
% 0.18/0.39 tptp_fun_X2_7: $i)).
% 0.18/0.39 tff(young_type, type, (
% 0.18/0.39 young: ( $i * $i ) > $o)).
% 0.18/0.39 tff(fellow_type, type, (
% 0.18/0.39 fellow: ( $i * $i ) > $o)).
% 0.18/0.39 tff(two_type, type, (
% 0.18/0.39 two: ( $i * $i ) > $o)).
% 0.18/0.39 tff(in_type, type, (
% 0.18/0.39 in: ( $i * $i * $i ) > $o)).
% 0.18/0.39 tff(tptp_fun_Z_9_type, type, (
% 0.18/0.39 tptp_fun_Z_9: $i)).
% 0.18/0.39 tff(tptp_fun_X8_14_type, type, (
% 0.18/0.39 tptp_fun_X8_14: $i > $i)).
% 0.18/0.39 tff(tptp_fun_X7_15_type, type, (
% 0.18/0.39 tptp_fun_X7_15: $i > $i)).
% 0.18/0.39 tff(tptp_fun_X1_8_type, type, (
% 0.18/0.39 tptp_fun_X1_8: $i)).
% 0.18/0.39 tff(down_type, type, (
% 0.18/0.39 down: ( $i * $i * $i ) > $o)).
% 0.18/0.39 tff(barrel_type, type, (
% 0.18/0.39 barrel: ( $i * $i ) > $o)).
% 0.18/0.39 tff(tptp_fun_X_11_type, type, (
% 0.18/0.39 tptp_fun_X_11: $i)).
% 0.18/0.39 tff(lonely_type, type, (
% 0.18/0.39 lonely: ( $i * $i ) > $o)).
% 0.18/0.39 tff(street_type, type, (
% 0.18/0.39 street: ( $i * $i ) > $o)).
% 0.18/0.39 tff(placename_type, type, (
% 0.18/0.39 placename: ( $i * $i ) > $o)).
% 0.18/0.39 tff(tptp_fun_Y_10_type, type, (
% 0.18/0.39 tptp_fun_Y_10: $i)).
% 0.18/0.39 tff(hollywood_placename_type, type, (
% 0.18/0.39 hollywood_placename: ( $i * $i ) > $o)).
% 0.18/0.39 tff(city_type, type, (
% 0.18/0.39 city: ( $i * $i ) > $o)).
% 0.18/0.39 tff(of_type, type, (
% 0.18/0.39 of: ( $i * $i * $i ) > $o)).
% 0.18/0.39 tff(old_type, type, (
% 0.18/0.39 old: ( $i * $i ) > $o)).
% 0.18/0.39 tff(dirty_type, type, (
% 0.18/0.39 dirty: ( $i * $i ) > $o)).
% 0.18/0.39 tff(white_type, type, (
% 0.18/0.39 white: ( $i * $i ) > $o)).
% 0.18/0.39 tff(chevy_type, type, (
% 0.18/0.39 chevy: ( $i * $i ) > $o)).
% 0.18/0.39 tff(frontseat_type, type, (
% 0.18/0.39 frontseat: ( $i * $i ) > $o)).
% 0.18/0.39 tff(forename_type, type, (
% 0.18/0.39 forename: ( $i * $i ) > $o)).
% 0.18/0.39 tff(tptp_fun_W_12_type, type, (
% 0.18/0.39 tptp_fun_W_12: $i)).
% 0.18/0.39 tff(jules_forename_type, type, (
% 0.18/0.39 jules_forename: ( $i * $i ) > $o)).
% 0.18/0.39 tff(man_type, type, (
% 0.18/0.39 man: ( $i * $i ) > $o)).
% 0.18/0.39 tff(actual_world_type, type, (
% 0.18/0.39 actual_world: $i > $o)).
% 0.18/0.39 tff(artifact_type, type, (
% 0.18/0.39 artifact: ( $i * $i ) > $o)).
% 0.18/0.39 tff(instrumentality_type, type, (
% 0.18/0.39 instrumentality: ( $i * $i ) > $o)).
% 0.18/0.39 tff(device_type, type, (
% 0.18/0.39 device: ( $i * $i ) > $o)).
% 0.18/0.39 tff(1,plain,
% 0.18/0.39 ((actual_world(U!3) & (of(U!3, W!12, V!13) & man(U!3, V!13) & jules_forename(U!3, W!12) & forename(U!3, W!12) & frontseat(U!3, Z!9) & chevy(U!3, X!11) & white(U!3, X!11) & dirty(U!3, X!11) & old(U!3, X!11) & of(U!3, Y!10, Z!9) & city(U!3, Z!9) & hollywood_placename(U!3, Y!10) & placename(U!3, Y!10) & street(U!3, Z!9) & lonely(U!3, Z!9) & event(U!3, X1!8) & agent(U!3, X1!8, X!11) & present(U!3, X1!8) & barrel(U!3, X1!8) & down(U!3, X1!8, Z!9) & in(U!3, X1!8, Z!9) & ![X6: $i] : ((~member(U!3, X6, X2!7)) | (state(U!3, tptp_fun_X7_15(X6)) & be(U!3, tptp_fun_X7_15(X6), X6, tptp_fun_X8_14(X6)) & in(U!3, tptp_fun_X8_14(X6), Z!9))) & two(U!3, X2!7) & group(U!3, X2!7) & ![X9: $i] : ((~member(U!3, X9, X2!7)) | (fellow(U!3, X9) & young(U!3, X9))) & ![X10: $i] : ((~member(U!3, X10, X3!6)) | ![X11: $i] : ((~member(U!3, X11, X2!7)) | (event(U!3, tptp_fun_X12_16(X11, X10)) & agent(U!3, tptp_fun_X12_16(X11, X10), X11) & patient(U!3, tptp_fun_X12_16(X11, X10), X10) & present(U!3, tptp_fun_X12_16(X11, X10)) & nonreflexive(U!3, tptp_fun_X12_16(X11, X10)) & wear(U!3, tptp_fun_X12_16(X11, X10))))) & group(U!3, X3!6) & ![X13: $i] : ((~member(U!3, X13, X3!6)) | (coat(U!3, X13) & black(U!3, X13) & cheap(U!3, X13))) & wheel(U!3, X5!4) & state(U!3, X4!5) & be(U!3, X4!5, V!13, X5!4) & behind(U!3, X5!4, X5!4))) <=> (actual_world(U!3) & of(U!3, W!12, V!13) & man(U!3, V!13) & jules_forename(U!3, W!12) & forename(U!3, W!12) & frontseat(U!3, Z!9) & chevy(U!3, X!11) & white(U!3, X!11) & dirty(U!3, X!11) & old(U!3, X!11) & of(U!3, Y!10, Z!9) & city(U!3, Z!9) & hollywood_placename(U!3, Y!10) & placename(U!3, Y!10) & street(U!3, Z!9) & lonely(U!3, Z!9) & event(U!3, X1!8) & agent(U!3, X1!8, X!11) & present(U!3, X1!8) & barrel(U!3, X1!8) & down(U!3, X1!8, Z!9) & in(U!3, X1!8, Z!9) & ![X6: $i] : ((~member(U!3, X6, X2!7)) | (state(U!3, tptp_fun_X7_15(X6)) & be(U!3, tptp_fun_X7_15(X6), X6, tptp_fun_X8_14(X6)) & in(U!3, tptp_fun_X8_14(X6), Z!9))) & two(U!3, X2!7) & group(U!3, X2!7) & ![X9: $i] : ((~member(U!3, X9, X2!7)) | (fellow(U!3, X9) & young(U!3, X9))) & ![X10: $i] : ((~member(U!3, X10, X3!6)) | ![X11: $i] : ((~member(U!3, X11, X2!7)) | (event(U!3, tptp_fun_X12_16(X11, X10)) & agent(U!3, tptp_fun_X12_16(X11, X10), X11) & patient(U!3, tptp_fun_X12_16(X11, X10), X10) & present(U!3, tptp_fun_X12_16(X11, X10)) & nonreflexive(U!3, tptp_fun_X12_16(X11, X10)) & wear(U!3, tptp_fun_X12_16(X11, X10))))) & group(U!3, X3!6) & ![X13: $i] : ((~member(U!3, X13, X3!6)) | (coat(U!3, X13) & black(U!3, X13) & cheap(U!3, X13))) & wheel(U!3, X5!4) & state(U!3, X4!5) & be(U!3, X4!5, V!13, X5!4) & behind(U!3, X5!4, X5!4))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(2,plain,
% 0.18/0.39 ((of(U!3, W!12, V!13) & man(U!3, V!13) & jules_forename(U!3, W!12) & forename(U!3, W!12) & frontseat(U!3, Z!9) & chevy(U!3, X!11) & white(U!3, X!11) & dirty(U!3, X!11) & old(U!3, X!11) & of(U!3, Y!10, Z!9) & city(U!3, Z!9) & hollywood_placename(U!3, Y!10) & placename(U!3, Y!10) & street(U!3, Z!9) & lonely(U!3, Z!9) & event(U!3, X1!8) & agent(U!3, X1!8, X!11) & present(U!3, X1!8) & barrel(U!3, X1!8) & down(U!3, X1!8, Z!9) & in(U!3, X1!8, Z!9) & ![X6: $i] : ((~member(U!3, X6, X2!7)) | (state(U!3, tptp_fun_X7_15(X6)) & be(U!3, tptp_fun_X7_15(X6), X6, tptp_fun_X8_14(X6)) & in(U!3, tptp_fun_X8_14(X6), Z!9))) & two(U!3, X2!7) & group(U!3, X2!7) & ![X9: $i] : ((~member(U!3, X9, X2!7)) | (fellow(U!3, X9) & young(U!3, X9))) & ![X10: $i] : ((~member(U!3, X10, X3!6)) | ![X11: $i] : ((~member(U!3, X11, X2!7)) | (event(U!3, tptp_fun_X12_16(X11, X10)) & agent(U!3, tptp_fun_X12_16(X11, X10), X11) & patient(U!3, tptp_fun_X12_16(X11, X10), X10) & present(U!3, tptp_fun_X12_16(X11, X10)) & nonreflexive(U!3, tptp_fun_X12_16(X11, X10)) & wear(U!3, tptp_fun_X12_16(X11, X10))))) & group(U!3, X3!6) & ![X13: $i] : ((~member(U!3, X13, X3!6)) | (coat(U!3, X13) & black(U!3, X13) & cheap(U!3, X13))) & wheel(U!3, X5!4) & state(U!3, X4!5) & be(U!3, X4!5, V!13, X5!4) & behind(U!3, X5!4, X5!4)) <=> (of(U!3, W!12, V!13) & man(U!3, V!13) & jules_forename(U!3, W!12) & forename(U!3, W!12) & frontseat(U!3, Z!9) & chevy(U!3, X!11) & white(U!3, X!11) & dirty(U!3, X!11) & old(U!3, X!11) & of(U!3, Y!10, Z!9) & city(U!3, Z!9) & hollywood_placename(U!3, Y!10) & placename(U!3, Y!10) & street(U!3, Z!9) & lonely(U!3, Z!9) & event(U!3, X1!8) & agent(U!3, X1!8, X!11) & present(U!3, X1!8) & barrel(U!3, X1!8) & down(U!3, X1!8, Z!9) & in(U!3, X1!8, Z!9) & ![X6: $i] : ((~member(U!3, X6, X2!7)) | (state(U!3, tptp_fun_X7_15(X6)) & be(U!3, tptp_fun_X7_15(X6), X6, tptp_fun_X8_14(X6)) & in(U!3, tptp_fun_X8_14(X6), Z!9))) & two(U!3, X2!7) & group(U!3, X2!7) & ![X9: $i] : ((~member(U!3, X9, X2!7)) | (fellow(U!3, X9) & young(U!3, X9))) & ![X10: $i] : ((~member(U!3, X10, X3!6)) | ![X11: $i] : ((~member(U!3, X11, X2!7)) | (event(U!3, tptp_fun_X12_16(X11, X10)) & agent(U!3, tptp_fun_X12_16(X11, X10), X11) & patient(U!3, tptp_fun_X12_16(X11, X10), X10) & present(U!3, tptp_fun_X12_16(X11, X10)) & nonreflexive(U!3, tptp_fun_X12_16(X11, X10)) & wear(U!3, tptp_fun_X12_16(X11, X10))))) & group(U!3, X3!6) & ![X13: $i] : ((~member(U!3, X13, X3!6)) | (coat(U!3, X13) & black(U!3, X13) & cheap(U!3, X13))) & wheel(U!3, X5!4) & state(U!3, X4!5) & be(U!3, X4!5, V!13, X5!4) & behind(U!3, X5!4, X5!4))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(3,plain,
% 0.18/0.40 ((actual_world(U!3) & (of(U!3, W!12, V!13) & man(U!3, V!13) & jules_forename(U!3, W!12) & forename(U!3, W!12) & frontseat(U!3, Z!9) & chevy(U!3, X!11) & white(U!3, X!11) & dirty(U!3, X!11) & old(U!3, X!11) & of(U!3, Y!10, Z!9) & city(U!3, Z!9) & hollywood_placename(U!3, Y!10) & placename(U!3, Y!10) & street(U!3, Z!9) & lonely(U!3, Z!9) & event(U!3, X1!8) & agent(U!3, X1!8, X!11) & present(U!3, X1!8) & barrel(U!3, X1!8) & down(U!3, X1!8, Z!9) & in(U!3, X1!8, Z!9) & ![X6: $i] : ((~member(U!3, X6, X2!7)) | (state(U!3, tptp_fun_X7_15(X6)) & be(U!3, tptp_fun_X7_15(X6), X6, tptp_fun_X8_14(X6)) & in(U!3, tptp_fun_X8_14(X6), Z!9))) & two(U!3, X2!7) & group(U!3, X2!7) & ![X9: $i] : ((~member(U!3, X9, X2!7)) | (fellow(U!3, X9) & young(U!3, X9))) & ![X10: $i] : ((~member(U!3, X10, X3!6)) | ![X11: $i] : ((~member(U!3, X11, X2!7)) | (event(U!3, tptp_fun_X12_16(X11, X10)) & agent(U!3, tptp_fun_X12_16(X11, X10), X11) & patient(U!3, tptp_fun_X12_16(X11, X10), X10) & present(U!3, tptp_fun_X12_16(X11, X10)) & nonreflexive(U!3, tptp_fun_X12_16(X11, X10)) & wear(U!3, tptp_fun_X12_16(X11, X10))))) & group(U!3, X3!6) & ![X13: $i] : ((~member(U!3, X13, X3!6)) | (coat(U!3, X13) & black(U!3, X13) & cheap(U!3, X13))) & wheel(U!3, X5!4) & state(U!3, X4!5) & be(U!3, X4!5, V!13, X5!4) & behind(U!3, X5!4, X5!4))) <=> (actual_world(U!3) & (of(U!3, W!12, V!13) & man(U!3, V!13) & jules_forename(U!3, W!12) & forename(U!3, W!12) & frontseat(U!3, Z!9) & chevy(U!3, X!11) & white(U!3, X!11) & dirty(U!3, X!11) & old(U!3, X!11) & of(U!3, Y!10, Z!9) & city(U!3, Z!9) & hollywood_placename(U!3, Y!10) & placename(U!3, Y!10) & street(U!3, Z!9) & lonely(U!3, Z!9) & event(U!3, X1!8) & agent(U!3, X1!8, X!11) & present(U!3, X1!8) & barrel(U!3, X1!8) & down(U!3, X1!8, Z!9) & in(U!3, X1!8, Z!9) & ![X6: $i] : ((~member(U!3, X6, X2!7)) | (state(U!3, tptp_fun_X7_15(X6)) & be(U!3, tptp_fun_X7_15(X6), X6, tptp_fun_X8_14(X6)) & in(U!3, tptp_fun_X8_14(X6), Z!9))) & two(U!3, X2!7) & group(U!3, X2!7) & ![X9: $i] : ((~member(U!3, X9, X2!7)) | (fellow(U!3, X9) & young(U!3, X9))) & ![X10: $i] : ((~member(U!3, X10, X3!6)) | ![X11: $i] : ((~member(U!3, X11, X2!7)) | (event(U!3, tptp_fun_X12_16(X11, X10)) & agent(U!3, tptp_fun_X12_16(X11, X10), X11) & patient(U!3, tptp_fun_X12_16(X11, X10), X10) & present(U!3, tptp_fun_X12_16(X11, X10)) & nonreflexive(U!3, tptp_fun_X12_16(X11, X10)) & wear(U!3, tptp_fun_X12_16(X11, X10))))) & group(U!3, X3!6) & ![X13: $i] : ((~member(U!3, X13, X3!6)) | (coat(U!3, X13) & black(U!3, X13) & cheap(U!3, X13))) & wheel(U!3, X5!4) & state(U!3, X4!5) & be(U!3, X4!5, V!13, X5!4) & behind(U!3, X5!4, X5!4)))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[2])).
% 0.18/0.40 tff(4,plain,
% 0.18/0.40 ((actual_world(U!3) & (of(U!3, W!12, V!13) & man(U!3, V!13) & jules_forename(U!3, W!12) & forename(U!3, W!12) & frontseat(U!3, Z!9) & chevy(U!3, X!11) & white(U!3, X!11) & dirty(U!3, X!11) & old(U!3, X!11) & of(U!3, Y!10, Z!9) & city(U!3, Z!9) & hollywood_placename(U!3, Y!10) & placename(U!3, Y!10) & street(U!3, Z!9) & lonely(U!3, Z!9) & event(U!3, X1!8) & agent(U!3, X1!8, X!11) & present(U!3, X1!8) & barrel(U!3, X1!8) & down(U!3, X1!8, Z!9) & in(U!3, X1!8, Z!9) & ![X6: $i] : ((~member(U!3, X6, X2!7)) | (state(U!3, tptp_fun_X7_15(X6)) & be(U!3, tptp_fun_X7_15(X6), X6, tptp_fun_X8_14(X6)) & in(U!3, tptp_fun_X8_14(X6), Z!9))) & two(U!3, X2!7) & group(U!3, X2!7) & ![X9: $i] : ((~member(U!3, X9, X2!7)) | (fellow(U!3, X9) & young(U!3, X9))) & ![X10: $i] : ((~member(U!3, X10, X3!6)) | ![X11: $i] : ((~member(U!3, X11, X2!7)) | (event(U!3, tptp_fun_X12_16(X11, X10)) & agent(U!3, tptp_fun_X12_16(X11, X10), X11) & patient(U!3, tptp_fun_X12_16(X11, X10), X10) & present(U!3, tptp_fun_X12_16(X11, X10)) & nonreflexive(U!3, tptp_fun_X12_16(X11, X10)) & wear(U!3, tptp_fun_X12_16(X11, X10))))) & group(U!3, X3!6) & ![X13: $i] : ((~member(U!3, X13, X3!6)) | (coat(U!3, X13) & black(U!3, X13) & cheap(U!3, X13))) & wheel(U!3, X5!4) & state(U!3, X4!5) & be(U!3, X4!5, V!13, X5!4) & behind(U!3, X5!4, X5!4))) <=> (actual_world(U!3) & of(U!3, W!12, V!13) & man(U!3, V!13) & jules_forename(U!3, W!12) & forename(U!3, W!12) & frontseat(U!3, Z!9) & chevy(U!3, X!11) & white(U!3, X!11) & dirty(U!3, X!11) & old(U!3, X!11) & of(U!3, Y!10, Z!9) & city(U!3, Z!9) & hollywood_placename(U!3, Y!10) & placename(U!3, Y!10) & street(U!3, Z!9) & lonely(U!3, Z!9) & event(U!3, X1!8) & agent(U!3, X1!8, X!11) & present(U!3, X1!8) & barrel(U!3, X1!8) & down(U!3, X1!8, Z!9) & in(U!3, X1!8, Z!9) & ![X6: $i] : ((~member(U!3, X6, X2!7)) | (state(U!3, tptp_fun_X7_15(X6)) & be(U!3, tptp_fun_X7_15(X6), X6, tptp_fun_X8_14(X6)) & in(U!3, tptp_fun_X8_14(X6), Z!9))) & two(U!3, X2!7) & group(U!3, X2!7) & ![X9: $i] : ((~member(U!3, X9, X2!7)) | (fellow(U!3, X9) & young(U!3, X9))) & ![X10: $i] : ((~member(U!3, X10, X3!6)) | ![X11: $i] : ((~member(U!3, X11, X2!7)) | (event(U!3, tptp_fun_X12_16(X11, X10)) & agent(U!3, tptp_fun_X12_16(X11, X10), X11) & patient(U!3, tptp_fun_X12_16(X11, X10), X10) & present(U!3, tptp_fun_X12_16(X11, X10)) & nonreflexive(U!3, tptp_fun_X12_16(X11, X10)) & wear(U!3, tptp_fun_X12_16(X11, X10))))) & group(U!3, X3!6) & ![X13: $i] : ((~member(U!3, X13, X3!6)) | (coat(U!3, X13) & black(U!3, X13) & cheap(U!3, X13))) & wheel(U!3, X5!4) & state(U!3, X4!5) & be(U!3, X4!5, V!13, X5!4) & behind(U!3, X5!4, X5!4))),
% 0.18/0.40 inference(transitivity,[status(thm)],[3, 1])).
% 0.18/0.40 tff(5,plain,
% 0.18/0.40 (?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i] : (of(U, W, V) & man(U, V) & jules_forename(U, W) & forename(U, W) & frontseat(U, Z) & chevy(U, X) & white(U, X) & dirty(U, X) & old(U, X) & of(U, Y, Z) & city(U, Z) & hollywood_placename(U, Y) & placename(U, Y) & street(U, Z) & lonely(U, Z) & event(U, X1) & agent(U, X1, X) & present(U, X1) & barrel(U, X1) & down(U, X1, Z) & in(U, X1, Z) & ![X6: $i] : ((~member(U, X6, X2)) | ?[X7: $i, X8: $i] : (state(U, X7) & be(U, X7, X6, X8) & in(U, X8, Z))) & two(U, X2) & group(U, X2) & ![X9: $i] : ((~member(U, X9, X2)) | (fellow(U, X9) & young(U, X9))) & ![X10: $i] : ((~member(U, X10, X3)) | ![X11: $i] : ((~member(U, X11, X2)) | ?[X12: $i] : (event(U, X12) & agent(U, X12, X11) & patient(U, X12, X10) & present(U, X12) & nonreflexive(U, X12) & wear(U, X12)))) & group(U, X3) & ![X13: $i] : ((~member(U, X13, X3)) | (coat(U, X13) & black(U, X13) & cheap(U, X13))) & wheel(U, X5) & state(U, X4) & be(U, X4, V, X5) & behind(U, X5, X5))) <=> ?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i] : (of(U, W, V) & man(U, V) & jules_forename(U, W) & forename(U, W) & frontseat(U, Z) & chevy(U, X) & white(U, X) & dirty(U, X) & old(U, X) & of(U, Y, Z) & city(U, Z) & hollywood_placename(U, Y) & placename(U, Y) & street(U, Z) & lonely(U, Z) & event(U, X1) & agent(U, X1, X) & present(U, X1) & barrel(U, X1) & down(U, X1, Z) & in(U, X1, Z) & ![X6: $i] : ((~member(U, X6, X2)) | ?[X7: $i, X8: $i] : (state(U, X7) & be(U, X7, X6, X8) & in(U, X8, Z))) & two(U, X2) & group(U, X2) & ![X9: $i] : ((~member(U, X9, X2)) | (fellow(U, X9) & young(U, X9))) & ![X10: $i] : ((~member(U, X10, X3)) | ![X11: $i] : ((~member(U, X11, X2)) | ?[X12: $i] : (event(U, X12) & agent(U, X12, X11) & patient(U, X12, X10) & present(U, X12) & nonreflexive(U, X12) & wear(U, X12)))) & group(U, X3) & ![X13: $i] : ((~member(U, X13, X3)) | (coat(U, X13) & black(U, X13) & cheap(U, X13))) & wheel(U, X5) & state(U, X4) & be(U, X4, V, X5) & behind(U, X5, X5)))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(6,plain,
% 0.18/0.40 ((~(~?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i] : (of(U, W, V) & man(U, V) & jules_forename(U, W) & forename(U, W) & frontseat(U, Z) & chevy(U, X) & white(U, X) & dirty(U, X) & old(U, X) & of(U, Y, Z) & city(U, Z) & hollywood_placename(U, Y) & placename(U, Y) & street(U, Z) & lonely(U, Z) & event(U, X1) & agent(U, X1, X) & present(U, X1) & barrel(U, X1) & down(U, X1, Z) & in(U, X1, Z) & ![X6: $i] : ((~member(U, X6, X2)) | ?[X7: $i, X8: $i] : (state(U, X7) & be(U, X7, X6, X8) & in(U, X8, Z))) & two(U, X2) & group(U, X2) & ![X9: $i] : ((~member(U, X9, X2)) | (fellow(U, X9) & young(U, X9))) & ![X10: $i] : ((~member(U, X10, X3)) | ![X11: $i] : ((~member(U, X11, X2)) | ?[X12: $i] : (event(U, X12) & agent(U, X12, X11) & patient(U, X12, X10) & present(U, X12) & nonreflexive(U, X12) & wear(U, X12)))) & group(U, X3) & ![X13: $i] : ((~member(U, X13, X3)) | (coat(U, X13) & black(U, X13) & cheap(U, X13))) & wheel(U, X5) & state(U, X4) & be(U, X4, V, X5) & behind(U, X5, X5))))) <=> ?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i] : (of(U, W, V) & man(U, V) & jules_forename(U, W) & forename(U, W) & frontseat(U, Z) & chevy(U, X) & white(U, X) & dirty(U, X) & old(U, X) & of(U, Y, Z) & city(U, Z) & hollywood_placename(U, Y) & placename(U, Y) & street(U, Z) & lonely(U, Z) & event(U, X1) & agent(U, X1, X) & present(U, X1) & barrel(U, X1) & down(U, X1, Z) & in(U, X1, Z) & ![X6: $i] : ((~member(U, X6, X2)) | ?[X7: $i, X8: $i] : (state(U, X7) & be(U, X7, X6, X8) & in(U, X8, Z))) & two(U, X2) & group(U, X2) & ![X9: $i] : ((~member(U, X9, X2)) | (fellow(U, X9) & young(U, X9))) & ![X10: $i] : ((~member(U, X10, X3)) | ![X11: $i] : ((~member(U, X11, X2)) | ?[X12: $i] : (event(U, X12) & agent(U, X12, X11) & patient(U, X12, X10) & present(U, X12) & nonreflexive(U, X12) & wear(U, X12)))) & group(U, X3) & ![X13: $i] : ((~member(U, X13, X3)) | (coat(U, X13) & black(U, X13) & cheap(U, X13))) & wheel(U, X5) & state(U, X4) & be(U, X4, V, X5) & behind(U, X5, X5)))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(7,plain,
% 0.18/0.40 ((~?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i] : (((((((((((((((((((((((((((((((of(U, W, V) & man(U, V)) & jules_forename(U, W)) & forename(U, W)) & frontseat(U, Z)) & chevy(U, X)) & white(U, X)) & dirty(U, X)) & old(U, X)) & of(U, Y, Z)) & city(U, Z)) & hollywood_placename(U, Y)) & placename(U, Y)) & street(U, Z)) & lonely(U, Z)) & event(U, X1)) & agent(U, X1, X)) & present(U, X1)) & barrel(U, X1)) & down(U, X1, Z)) & in(U, X1, Z)) & ![X6: $i] : (member(U, X6, X2) => ?[X7: $i, X8: $i] : ((state(U, X7) & be(U, X7, X6, X8)) & in(U, X8, Z)))) & two(U, X2)) & group(U, X2)) & ![X9: $i] : (member(U, X9, X2) => (fellow(U, X9) & young(U, X9)))) & ![X10: $i] : (member(U, X10, X3) => ![X11: $i] : (member(U, X11, X2) => ?[X12: $i] : (((((event(U, X12) & agent(U, X12, X11)) & patient(U, X12, X10)) & present(U, X12)) & nonreflexive(U, X12)) & wear(U, X12))))) & group(U, X3)) & ![X13: $i] : (member(U, X13, X3) => ((coat(U, X13) & black(U, X13)) & cheap(U, X13)))) & wheel(U, X5)) & state(U, X4)) & be(U, X4, V, X5)) & behind(U, X5, X5)))) <=> (~?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i] : (of(U, W, V) & man(U, V) & jules_forename(U, W) & forename(U, W) & frontseat(U, Z) & chevy(U, X) & white(U, X) & dirty(U, X) & old(U, X) & of(U, Y, Z) & city(U, Z) & hollywood_placename(U, Y) & placename(U, Y) & street(U, Z) & lonely(U, Z) & event(U, X1) & agent(U, X1, X) & present(U, X1) & barrel(U, X1) & down(U, X1, Z) & in(U, X1, Z) & ![X6: $i] : ((~member(U, X6, X2)) | ?[X7: $i, X8: $i] : (state(U, X7) & be(U, X7, X6, X8) & in(U, X8, Z))) & two(U, X2) & group(U, X2) & ![X9: $i] : ((~member(U, X9, X2)) | (fellow(U, X9) & young(U, X9))) & ![X10: $i] : ((~member(U, X10, X3)) | ![X11: $i] : ((~member(U, X11, X2)) | ?[X12: $i] : (event(U, X12) & agent(U, X12, X11) & patient(U, X12, X10) & present(U, X12) & nonreflexive(U, X12) & wear(U, X12)))) & group(U, X3) & ![X13: $i] : ((~member(U, X13, X3)) | (coat(U, X13) & black(U, X13) & cheap(U, X13))) & wheel(U, X5) & state(U, X4) & be(U, X4, V, X5) & behind(U, X5, X5))))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(8,plain,
% 0.18/0.40 ((~(~?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i] : (((((((((((((((((((((((((((((((of(U, W, V) & man(U, V)) & jules_forename(U, W)) & forename(U, W)) & frontseat(U, Z)) & chevy(U, X)) & white(U, X)) & dirty(U, X)) & old(U, X)) & of(U, Y, Z)) & city(U, Z)) & hollywood_placename(U, Y)) & placename(U, Y)) & street(U, Z)) & lonely(U, Z)) & event(U, X1)) & agent(U, X1, X)) & present(U, X1)) & barrel(U, X1)) & down(U, X1, Z)) & in(U, X1, Z)) & ![X6: $i] : (member(U, X6, X2) => ?[X7: $i, X8: $i] : ((state(U, X7) & be(U, X7, X6, X8)) & in(U, X8, Z)))) & two(U, X2)) & group(U, X2)) & ![X9: $i] : (member(U, X9, X2) => (fellow(U, X9) & young(U, X9)))) & ![X10: $i] : (member(U, X10, X3) => ![X11: $i] : (member(U, X11, X2) => ?[X12: $i] : (((((event(U, X12) & agent(U, X12, X11)) & patient(U, X12, X10)) & present(U, X12)) & nonreflexive(U, X12)) & wear(U, X12))))) & group(U, X3)) & ![X13: $i] : (member(U, X13, X3) => ((coat(U, X13) & black(U, X13)) & cheap(U, X13)))) & wheel(U, X5)) & state(U, X4)) & be(U, X4, V, X5)) & behind(U, X5, X5))))) <=> (~(~?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i] : (of(U, W, V) & man(U, V) & jules_forename(U, W) & forename(U, W) & frontseat(U, Z) & chevy(U, X) & white(U, X) & dirty(U, X) & old(U, X) & of(U, Y, Z) & city(U, Z) & hollywood_placename(U, Y) & placename(U, Y) & street(U, Z) & lonely(U, Z) & event(U, X1) & agent(U, X1, X) & present(U, X1) & barrel(U, X1) & down(U, X1, Z) & in(U, X1, Z) & ![X6: $i] : ((~member(U, X6, X2)) | ?[X7: $i, X8: $i] : (state(U, X7) & be(U, X7, X6, X8) & in(U, X8, Z))) & two(U, X2) & group(U, X2) & ![X9: $i] : ((~member(U, X9, X2)) | (fellow(U, X9) & young(U, X9))) & ![X10: $i] : ((~member(U, X10, X3)) | ![X11: $i] : ((~member(U, X11, X2)) | ?[X12: $i] : (event(U, X12) & agent(U, X12, X11) & patient(U, X12, X10) & present(U, X12) & nonreflexive(U, X12) & wear(U, X12)))) & group(U, X3) & ![X13: $i] : ((~member(U, X13, X3)) | (coat(U, X13) & black(U, X13) & cheap(U, X13))) & wheel(U, X5) & state(U, X4) & be(U, X4, V, X5) & behind(U, X5, X5)))))),
% 0.18/0.41 inference(monotonicity,[status(thm)],[7])).
% 0.18/0.41 tff(9,plain,
% 0.18/0.41 ((~(~?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i] : (((((((((((((((((((((((((((((((of(U, W, V) & man(U, V)) & jules_forename(U, W)) & forename(U, W)) & frontseat(U, Z)) & chevy(U, X)) & white(U, X)) & dirty(U, X)) & old(U, X)) & of(U, Y, Z)) & city(U, Z)) & hollywood_placename(U, Y)) & placename(U, Y)) & street(U, Z)) & lonely(U, Z)) & event(U, X1)) & agent(U, X1, X)) & present(U, X1)) & barrel(U, X1)) & down(U, X1, Z)) & in(U, X1, Z)) & ![X6: $i] : (member(U, X6, X2) => ?[X7: $i, X8: $i] : ((state(U, X7) & be(U, X7, X6, X8)) & in(U, X8, Z)))) & two(U, X2)) & group(U, X2)) & ![X9: $i] : (member(U, X9, X2) => (fellow(U, X9) & young(U, X9)))) & ![X10: $i] : (member(U, X10, X3) => ![X11: $i] : (member(U, X11, X2) => ?[X12: $i] : (((((event(U, X12) & agent(U, X12, X11)) & patient(U, X12, X10)) & present(U, X12)) & nonreflexive(U, X12)) & wear(U, X12))))) & group(U, X3)) & ![X13: $i] : (member(U, X13, X3) => ((coat(U, X13) & black(U, X13)) & cheap(U, X13)))) & wheel(U, X5)) & state(U, X4)) & be(U, X4, V, X5)) & behind(U, X5, X5))))) <=> ?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i] : (of(U, W, V) & man(U, V) & jules_forename(U, W) & forename(U, W) & frontseat(U, Z) & chevy(U, X) & white(U, X) & dirty(U, X) & old(U, X) & of(U, Y, Z) & city(U, Z) & hollywood_placename(U, Y) & placename(U, Y) & street(U, Z) & lonely(U, Z) & event(U, X1) & agent(U, X1, X) & present(U, X1) & barrel(U, X1) & down(U, X1, Z) & in(U, X1, Z) & ![X6: $i] : ((~member(U, X6, X2)) | ?[X7: $i, X8: $i] : (state(U, X7) & be(U, X7, X6, X8) & in(U, X8, Z))) & two(U, X2) & group(U, X2) & ![X9: $i] : ((~member(U, X9, X2)) | (fellow(U, X9) & young(U, X9))) & ![X10: $i] : ((~member(U, X10, X3)) | ![X11: $i] : ((~member(U, X11, X2)) | ?[X12: $i] : (event(U, X12) & agent(U, X12, X11) & patient(U, X12, X10) & present(U, X12) & nonreflexive(U, X12) & wear(U, X12)))) & group(U, X3) & ![X13: $i] : ((~member(U, X13, X3)) | (coat(U, X13) & black(U, X13) & cheap(U, X13))) & wheel(U, X5) & state(U, X4) & be(U, X4, V, X5) & behind(U, X5, X5)))),
% 0.18/0.41 inference(transitivity,[status(thm)],[8, 6])).
% 0.18/0.41 tff(10,axiom,(~(~?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i] : (((((((((((((((((((((((((((((((of(U, W, V) & man(U, V)) & jules_forename(U, W)) & forename(U, W)) & frontseat(U, Z)) & chevy(U, X)) & white(U, X)) & dirty(U, X)) & old(U, X)) & of(U, Y, Z)) & city(U, Z)) & hollywood_placename(U, Y)) & placename(U, Y)) & street(U, Z)) & lonely(U, Z)) & event(U, X1)) & agent(U, X1, X)) & present(U, X1)) & barrel(U, X1)) & down(U, X1, Z)) & in(U, X1, Z)) & ![X6: $i] : (member(U, X6, X2) => ?[X7: $i, X8: $i] : ((state(U, X7) & be(U, X7, X6, X8)) & in(U, X8, Z)))) & two(U, X2)) & group(U, X2)) & ![X9: $i] : (member(U, X9, X2) => (fellow(U, X9) & young(U, X9)))) & ![X10: $i] : (member(U, X10, X3) => ![X11: $i] : (member(U, X11, X2) => ?[X12: $i] : (((((event(U, X12) & agent(U, X12, X11)) & patient(U, X12, X10)) & present(U, X12)) & nonreflexive(U, X12)) & wear(U, X12))))) & group(U, X3)) & ![X13: $i] : (member(U, X13, X3) => ((coat(U, X13) & black(U, X13)) & cheap(U, X13)))) & wheel(U, X5)) & state(U, X4)) & be(U, X4, V, X5)) & behind(U, X5, X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','co1')).
% 0.18/0.41 tff(11,plain,
% 0.18/0.41 (?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i] : (of(U, W, V) & man(U, V) & jules_forename(U, W) & forename(U, W) & frontseat(U, Z) & chevy(U, X) & white(U, X) & dirty(U, X) & old(U, X) & of(U, Y, Z) & city(U, Z) & hollywood_placename(U, Y) & placename(U, Y) & street(U, Z) & lonely(U, Z) & event(U, X1) & agent(U, X1, X) & present(U, X1) & barrel(U, X1) & down(U, X1, Z) & in(U, X1, Z) & ![X6: $i] : ((~member(U, X6, X2)) | ?[X7: $i, X8: $i] : (state(U, X7) & be(U, X7, X6, X8) & in(U, X8, Z))) & two(U, X2) & group(U, X2) & ![X9: $i] : ((~member(U, X9, X2)) | (fellow(U, X9) & young(U, X9))) & ![X10: $i] : ((~member(U, X10, X3)) | ![X11: $i] : ((~member(U, X11, X2)) | ?[X12: $i] : (event(U, X12) & agent(U, X12, X11) & patient(U, X12, X10) & present(U, X12) & nonreflexive(U, X12) & wear(U, X12)))) & group(U, X3) & ![X13: $i] : ((~member(U, X13, X3)) | (coat(U, X13) & black(U, X13) & cheap(U, X13))) & wheel(U, X5) & state(U, X4) & be(U, X4, V, X5) & behind(U, X5, X5)))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.18/0.41 tff(12,plain,
% 0.18/0.41 (?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i] : (of(U, W, V) & man(U, V) & jules_forename(U, W) & forename(U, W) & frontseat(U, Z) & chevy(U, X) & white(U, X) & dirty(U, X) & old(U, X) & of(U, Y, Z) & city(U, Z) & hollywood_placename(U, Y) & placename(U, Y) & street(U, Z) & lonely(U, Z) & event(U, X1) & agent(U, X1, X) & present(U, X1) & barrel(U, X1) & down(U, X1, Z) & in(U, X1, Z) & ![X6: $i] : ((~member(U, X6, X2)) | ?[X7: $i, X8: $i] : (state(U, X7) & be(U, X7, X6, X8) & in(U, X8, Z))) & two(U, X2) & group(U, X2) & ![X9: $i] : ((~member(U, X9, X2)) | (fellow(U, X9) & young(U, X9))) & ![X10: $i] : ((~member(U, X10, X3)) | ![X11: $i] : ((~member(U, X11, X2)) | ?[X12: $i] : (event(U, X12) & agent(U, X12, X11) & patient(U, X12, X10) & present(U, X12) & nonreflexive(U, X12) & wear(U, X12)))) & group(U, X3) & ![X13: $i] : ((~member(U, X13, X3)) | (coat(U, X13) & black(U, X13) & cheap(U, X13))) & wheel(U, X5) & state(U, X4) & be(U, X4, V, X5) & behind(U, X5, X5)))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[11, 5])).
% 0.18/0.41 tff(13,plain,
% 0.18/0.41 (actual_world(U!3) & of(U!3, W!12, V!13) & man(U!3, V!13) & jules_forename(U!3, W!12) & forename(U!3, W!12) & frontseat(U!3, Z!9) & chevy(U!3, X!11) & white(U!3, X!11) & dirty(U!3, X!11) & old(U!3, X!11) & of(U!3, Y!10, Z!9) & city(U!3, Z!9) & hollywood_placename(U!3, Y!10) & placename(U!3, Y!10) & street(U!3, Z!9) & lonely(U!3, Z!9) & event(U!3, X1!8) & agent(U!3, X1!8, X!11) & present(U!3, X1!8) & barrel(U!3, X1!8) & down(U!3, X1!8, Z!9) & in(U!3, X1!8, Z!9) & ![X6: $i] : ((~member(U!3, X6, X2!7)) | (state(U!3, tptp_fun_X7_15(X6)) & be(U!3, tptp_fun_X7_15(X6), X6, tptp_fun_X8_14(X6)) & in(U!3, tptp_fun_X8_14(X6), Z!9))) & two(U!3, X2!7) & group(U!3, X2!7) & ![X9: $i] : ((~member(U!3, X9, X2!7)) | (fellow(U!3, X9) & young(U!3, X9))) & ![X10: $i] : ((~member(U!3, X10, X3!6)) | ![X11: $i] : ((~member(U!3, X11, X2!7)) | (event(U!3, tptp_fun_X12_16(X11, X10)) & agent(U!3, tptp_fun_X12_16(X11, X10), X11) & patient(U!3, tptp_fun_X12_16(X11, X10), X10) & present(U!3, tptp_fun_X12_16(X11, X10)) & nonreflexive(U!3, tptp_fun_X12_16(X11, X10)) & wear(U!3, tptp_fun_X12_16(X11, X10))))) & group(U!3, X3!6) & ![X13: $i] : ((~member(U!3, X13, X3!6)) | (coat(U!3, X13) & black(U!3, X13) & cheap(U!3, X13))) & wheel(U!3, X5!4) & state(U!3, X4!5) & be(U!3, X4!5, V!13, X5!4) & behind(U!3, X5!4, X5!4)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[12, 4])).
% 0.18/0.41 tff(14,plain,
% 0.18/0.41 (be(U!3, X4!5, V!13, X5!4)),
% 0.18/0.41 inference(and_elim,[status(thm)],[13])).
% 0.18/0.41 tff(15,plain,
% 0.18/0.41 (^[U: $i, V: $i, W: $i, X: $i] : refl(((~be(U, V, W, X)) | (W = X)) <=> ((~be(U, V, W, X)) | (W = X)))),
% 0.18/0.41 inference(bind,[status(th)],[])).
% 0.18/0.41 tff(16,plain,
% 0.18/0.41 (![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X)) <=> ![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))),
% 0.18/0.41 inference(quant_intro,[status(thm)],[15])).
% 0.18/0.41 tff(17,plain,
% 0.18/0.41 (![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X)) <=> ![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(18,plain,
% 0.18/0.41 (^[U: $i, V: $i, W: $i, X: $i] : rewrite((be(U, V, W, X) => (W = X)) <=> ((~be(U, V, W, X)) | (W = X)))),
% 0.18/0.41 inference(bind,[status(th)],[])).
% 0.18/0.41 tff(19,plain,
% 0.18/0.41 (![U: $i, V: $i, W: $i, X: $i] : (be(U, V, W, X) => (W = X)) <=> ![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))),
% 0.18/0.41 inference(quant_intro,[status(thm)],[18])).
% 0.18/0.41 tff(20,axiom,(![U: $i, V: $i, W: $i, X: $i] : (be(U, V, W, X) => (W = X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax71')).
% 0.18/0.41 tff(21,plain,
% 0.18/0.41 (![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.18/0.41 tff(22,plain,
% 0.18/0.41 (![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.18/0.41 tff(23,plain,(
% 0.18/0.41 ![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))),
% 0.18/0.41 inference(skolemize,[status(sab)],[22])).
% 0.18/0.41 tff(24,plain,
% 0.18/0.41 (![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.18/0.41 tff(25,plain,
% 0.18/0.41 (((~![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))) | ((~be(U!3, X4!5, V!13, X5!4)) | (V!13 = X5!4))) <=> ((~![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))) | (~be(U!3, X4!5, V!13, X5!4)) | (V!13 = X5!4))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(26,plain,
% 0.18/0.41 ((~![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))) | ((~be(U!3, X4!5, V!13, X5!4)) | (V!13 = X5!4))),
% 0.18/0.41 inference(quant_inst,[status(thm)],[])).
% 0.18/0.41 tff(27,plain,
% 0.18/0.41 ((~![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))) | (~be(U!3, X4!5, V!13, X5!4)) | (V!13 = X5!4)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.18/0.41 tff(28,plain,
% 0.18/0.41 (V!13 = X5!4),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[27, 24, 14])).
% 0.18/0.41 tff(29,plain,
% 0.18/0.41 (X5!4 = V!13),
% 0.18/0.41 inference(symmetry,[status(thm)],[28])).
% 0.18/0.41 tff(30,plain,
% 0.18/0.41 (male(U!3, X5!4) <=> male(U!3, V!13)),
% 0.18/0.41 inference(monotonicity,[status(thm)],[29])).
% 0.18/0.41 tff(31,plain,
% 0.18/0.41 (male(U!3, V!13) <=> male(U!3, X5!4)),
% 0.18/0.41 inference(symmetry,[status(thm)],[30])).
% 0.18/0.41 tff(32,plain,
% 0.18/0.41 (man(U!3, V!13)),
% 0.18/0.41 inference(and_elim,[status(thm)],[13])).
% 0.18/0.41 tff(33,plain,
% 0.18/0.41 (^[U: $i, V: $i] : refl(((~man(U, V)) | male(U, V)) <=> ((~man(U, V)) | male(U, V)))),
% 0.18/0.41 inference(bind,[status(th)],[])).
% 0.18/0.41 tff(34,plain,
% 0.18/0.41 (![U: $i, V: $i] : ((~man(U, V)) | male(U, V)) <=> ![U: $i, V: $i] : ((~man(U, V)) | male(U, V))),
% 0.18/0.41 inference(quant_intro,[status(thm)],[33])).
% 0.18/0.41 tff(35,plain,
% 0.18/0.41 (![U: $i, V: $i] : ((~man(U, V)) | male(U, V)) <=> ![U: $i, V: $i] : ((~man(U, V)) | male(U, V))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(36,plain,
% 0.19/0.42 (^[U: $i, V: $i] : rewrite((man(U, V) => male(U, V)) <=> ((~man(U, V)) | male(U, V)))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(37,plain,
% 0.19/0.42 (![U: $i, V: $i] : (man(U, V) => male(U, V)) <=> ![U: $i, V: $i] : ((~man(U, V)) | male(U, V))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[36])).
% 0.19/0.42 tff(38,axiom,(![U: $i, V: $i] : (man(U, V) => male(U, V))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax24')).
% 0.19/0.42 tff(39,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~man(U, V)) | male(U, V))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.19/0.42 tff(40,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~man(U, V)) | male(U, V))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.19/0.42 tff(41,plain,(
% 0.19/0.42 ![U: $i, V: $i] : ((~man(U, V)) | male(U, V))),
% 0.19/0.42 inference(skolemize,[status(sab)],[40])).
% 0.19/0.42 tff(42,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~man(U, V)) | male(U, V))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[41, 34])).
% 0.19/0.42 tff(43,plain,
% 0.19/0.42 (((~![U: $i, V: $i] : ((~man(U, V)) | male(U, V))) | ((~man(U!3, V!13)) | male(U!3, V!13))) <=> ((~![U: $i, V: $i] : ((~man(U, V)) | male(U, V))) | (~man(U!3, V!13)) | male(U!3, V!13))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(44,plain,
% 0.19/0.42 ((~![U: $i, V: $i] : ((~man(U, V)) | male(U, V))) | ((~man(U!3, V!13)) | male(U!3, V!13))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(45,plain,
% 0.19/0.42 ((~![U: $i, V: $i] : ((~man(U, V)) | male(U, V))) | (~man(U!3, V!13)) | male(U!3, V!13)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.19/0.42 tff(46,plain,
% 0.19/0.42 (male(U!3, V!13)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[45, 42, 32])).
% 0.19/0.42 tff(47,plain,
% 0.19/0.42 (male(U!3, X5!4)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[46, 31])).
% 0.19/0.42 tff(48,plain,
% 0.19/0.42 (^[U: $i, V: $i] : refl(((~male(U, V)) | (~unisex(U, V))) <=> ((~male(U, V)) | (~unisex(U, V))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(49,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V))) <=> ![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[48])).
% 0.19/0.42 tff(50,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V))) <=> ![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(51,plain,
% 0.19/0.42 (^[U: $i, V: $i] : rewrite((unisex(U, V) => (~male(U, V))) <=> ((~male(U, V)) | (~unisex(U, V))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(52,plain,
% 0.19/0.42 (![U: $i, V: $i] : (unisex(U, V) => (~male(U, V))) <=> ![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[51])).
% 0.19/0.42 tff(53,axiom,(![U: $i, V: $i] : (unisex(U, V) => (~male(U, V)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax63')).
% 0.19/0.42 tff(54,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.19/0.42 tff(55,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[54, 50])).
% 0.19/0.42 tff(56,plain,(
% 0.19/0.42 ![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))),
% 0.19/0.42 inference(skolemize,[status(sab)],[55])).
% 0.19/0.42 tff(57,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[56, 49])).
% 0.19/0.42 tff(58,plain,
% 0.19/0.42 (((~![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))) | ((~male(U!3, X5!4)) | (~unisex(U!3, X5!4)))) <=> ((~![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))) | (~male(U!3, X5!4)) | (~unisex(U!3, X5!4)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(59,plain,
% 0.19/0.42 ((~![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))) | ((~male(U!3, X5!4)) | (~unisex(U!3, X5!4)))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(60,plain,
% 0.19/0.42 ((~![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))) | (~male(U!3, X5!4)) | (~unisex(U!3, X5!4))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.19/0.42 tff(61,plain,
% 0.19/0.42 ((~male(U!3, X5!4)) | (~unisex(U!3, X5!4))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[60, 57])).
% 0.19/0.42 tff(62,plain,
% 0.19/0.42 (~unisex(U!3, X5!4)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[61, 47])).
% 0.19/0.42 tff(63,plain,
% 0.19/0.42 (^[U: $i, V: $i] : refl(((~object(U, V)) | unisex(U, V)) <=> ((~object(U, V)) | unisex(U, V)))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(64,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V)) <=> ![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[63])).
% 0.19/0.42 tff(65,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V)) <=> ![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(66,plain,
% 0.19/0.42 (^[U: $i, V: $i] : rewrite((object(U, V) => unisex(U, V)) <=> ((~object(U, V)) | unisex(U, V)))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(67,plain,
% 0.19/0.42 (![U: $i, V: $i] : (object(U, V) => unisex(U, V)) <=> ![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[66])).
% 0.19/0.42 tff(68,axiom,(![U: $i, V: $i] : (object(U, V) => unisex(U, V))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax38')).
% 0.19/0.42 tff(69,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.19/0.42 tff(70,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[69, 65])).
% 0.19/0.42 tff(71,plain,(
% 0.19/0.42 ![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))),
% 0.19/0.42 inference(skolemize,[status(sab)],[70])).
% 0.19/0.42 tff(72,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[71, 64])).
% 0.19/0.42 tff(73,plain,
% 0.19/0.42 (((~![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))) | ((~object(U!3, X5!4)) | unisex(U!3, X5!4))) <=> ((~![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))) | (~object(U!3, X5!4)) | unisex(U!3, X5!4))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(74,plain,
% 0.19/0.42 ((~![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))) | ((~object(U!3, X5!4)) | unisex(U!3, X5!4))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(75,plain,
% 0.19/0.42 ((~![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))) | (~object(U!3, X5!4)) | unisex(U!3, X5!4)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.19/0.42 tff(76,plain,
% 0.19/0.42 (~object(U!3, X5!4)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[75, 72, 62])).
% 0.19/0.42 tff(77,plain,
% 0.19/0.42 (wheel(U!3, X5!4)),
% 0.19/0.42 inference(and_elim,[status(thm)],[13])).
% 0.19/0.42 tff(78,plain,
% 0.19/0.42 (^[U: $i, V: $i] : refl(((~wheel(U, V)) | device(U, V)) <=> ((~wheel(U, V)) | device(U, V)))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(79,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~wheel(U, V)) | device(U, V)) <=> ![U: $i, V: $i] : ((~wheel(U, V)) | device(U, V))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[78])).
% 0.19/0.42 tff(80,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~wheel(U, V)) | device(U, V)) <=> ![U: $i, V: $i] : ((~wheel(U, V)) | device(U, V))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(81,plain,
% 0.19/0.42 (^[U: $i, V: $i] : rewrite((wheel(U, V) => device(U, V)) <=> ((~wheel(U, V)) | device(U, V)))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(82,plain,
% 0.19/0.42 (![U: $i, V: $i] : (wheel(U, V) => device(U, V)) <=> ![U: $i, V: $i] : ((~wheel(U, V)) | device(U, V))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[81])).
% 0.19/0.42 tff(83,axiom,(![U: $i, V: $i] : (wheel(U, V) => device(U, V))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax48')).
% 0.19/0.42 tff(84,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~wheel(U, V)) | device(U, V))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.19/0.42 tff(85,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~wheel(U, V)) | device(U, V))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[84, 80])).
% 0.19/0.42 tff(86,plain,(
% 0.19/0.42 ![U: $i, V: $i] : ((~wheel(U, V)) | device(U, V))),
% 0.19/0.42 inference(skolemize,[status(sab)],[85])).
% 0.19/0.42 tff(87,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~wheel(U, V)) | device(U, V))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[86, 79])).
% 0.19/0.42 tff(88,plain,
% 0.19/0.42 (((~![U: $i, V: $i] : ((~wheel(U, V)) | device(U, V))) | ((~wheel(U!3, X5!4)) | device(U!3, X5!4))) <=> ((~![U: $i, V: $i] : ((~wheel(U, V)) | device(U, V))) | (~wheel(U!3, X5!4)) | device(U!3, X5!4))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(89,plain,
% 0.19/0.42 ((~![U: $i, V: $i] : ((~wheel(U, V)) | device(U, V))) | ((~wheel(U!3, X5!4)) | device(U!3, X5!4))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(90,plain,
% 0.19/0.42 ((~![U: $i, V: $i] : ((~wheel(U, V)) | device(U, V))) | (~wheel(U!3, X5!4)) | device(U!3, X5!4)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[89, 88])).
% 0.19/0.42 tff(91,plain,
% 0.19/0.42 (device(U!3, X5!4)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[90, 87, 77])).
% 0.19/0.42 tff(92,plain,
% 0.19/0.42 (^[U: $i, V: $i] : refl(((~device(U, V)) | instrumentality(U, V)) <=> ((~device(U, V)) | instrumentality(U, V)))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(93,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~device(U, V)) | instrumentality(U, V)) <=> ![U: $i, V: $i] : ((~device(U, V)) | instrumentality(U, V))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[92])).
% 0.19/0.42 tff(94,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~device(U, V)) | instrumentality(U, V)) <=> ![U: $i, V: $i] : ((~device(U, V)) | instrumentality(U, V))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(95,plain,
% 0.19/0.42 (^[U: $i, V: $i] : rewrite((device(U, V) => instrumentality(U, V)) <=> ((~device(U, V)) | instrumentality(U, V)))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(96,plain,
% 0.19/0.42 (![U: $i, V: $i] : (device(U, V) => instrumentality(U, V)) <=> ![U: $i, V: $i] : ((~device(U, V)) | instrumentality(U, V))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[95])).
% 0.19/0.42 tff(97,axiom,(![U: $i, V: $i] : (device(U, V) => instrumentality(U, V))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax47')).
% 0.19/0.42 tff(98,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~device(U, V)) | instrumentality(U, V))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.19/0.42 tff(99,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~device(U, V)) | instrumentality(U, V))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[98, 94])).
% 0.19/0.42 tff(100,plain,(
% 0.19/0.42 ![U: $i, V: $i] : ((~device(U, V)) | instrumentality(U, V))),
% 0.19/0.42 inference(skolemize,[status(sab)],[99])).
% 0.19/0.42 tff(101,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~device(U, V)) | instrumentality(U, V))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[100, 93])).
% 0.19/0.42 tff(102,plain,
% 0.19/0.42 (((~![U: $i, V: $i] : ((~device(U, V)) | instrumentality(U, V))) | ((~device(U!3, X5!4)) | instrumentality(U!3, X5!4))) <=> ((~![U: $i, V: $i] : ((~device(U, V)) | instrumentality(U, V))) | (~device(U!3, X5!4)) | instrumentality(U!3, X5!4))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(103,plain,
% 0.19/0.42 ((~![U: $i, V: $i] : ((~device(U, V)) | instrumentality(U, V))) | ((~device(U!3, X5!4)) | instrumentality(U!3, X5!4))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(104,plain,
% 0.19/0.42 ((~![U: $i, V: $i] : ((~device(U, V)) | instrumentality(U, V))) | (~device(U!3, X5!4)) | instrumentality(U!3, X5!4)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.19/0.42 tff(105,plain,
% 0.19/0.42 (instrumentality(U!3, X5!4)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[104, 101, 91])).
% 0.19/0.42 tff(106,plain,
% 0.19/0.42 (^[U: $i, V: $i] : refl(((~instrumentality(U, V)) | artifact(U, V)) <=> ((~instrumentality(U, V)) | artifact(U, V)))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(107,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V)) <=> ![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[106])).
% 0.19/0.42 tff(108,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V)) <=> ![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(109,plain,
% 0.19/0.42 (^[U: $i, V: $i] : rewrite((instrumentality(U, V) => artifact(U, V)) <=> ((~instrumentality(U, V)) | artifact(U, V)))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(110,plain,
% 0.19/0.42 (![U: $i, V: $i] : (instrumentality(U, V) => artifact(U, V)) <=> ![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[109])).
% 0.19/0.42 tff(111,axiom,(![U: $i, V: $i] : (instrumentality(U, V) => artifact(U, V))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax46')).
% 0.19/0.42 tff(112,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[111, 110])).
% 0.19/0.42 tff(113,plain,
% 0.19/0.42 (![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[112, 108])).
% 0.19/0.42 tff(114,plain,(
% 0.19/0.42 ![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))),
% 0.19/0.42 inference(skolemize,[status(sab)],[113])).
% 0.19/0.43 tff(115,plain,
% 0.19/0.43 (![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[114, 107])).
% 0.19/0.43 tff(116,plain,
% 0.19/0.43 (((~![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))) | ((~instrumentality(U!3, X5!4)) | artifact(U!3, X5!4))) <=> ((~![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))) | (~instrumentality(U!3, X5!4)) | artifact(U!3, X5!4))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(117,plain,
% 0.19/0.43 ((~![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))) | ((~instrumentality(U!3, X5!4)) | artifact(U!3, X5!4))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(118,plain,
% 0.19/0.43 ((~![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))) | (~instrumentality(U!3, X5!4)) | artifact(U!3, X5!4)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.19/0.43 tff(119,plain,
% 0.19/0.43 (artifact(U!3, X5!4)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[118, 115, 105])).
% 0.19/0.43 tff(120,plain,
% 0.19/0.43 (^[U: $i, V: $i] : refl(((~artifact(U, V)) | object(U, V)) <=> ((~artifact(U, V)) | object(U, V)))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(121,plain,
% 0.19/0.43 (![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V)) <=> ![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[120])).
% 0.19/0.43 tff(122,plain,
% 0.19/0.43 (![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V)) <=> ![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(123,plain,
% 0.19/0.43 (^[U: $i, V: $i] : rewrite((artifact(U, V) => object(U, V)) <=> ((~artifact(U, V)) | object(U, V)))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(124,plain,
% 0.19/0.43 (![U: $i, V: $i] : (artifact(U, V) => object(U, V)) <=> ![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[123])).
% 0.19/0.43 tff(125,axiom,(![U: $i, V: $i] : (artifact(U, V) => object(U, V))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax45')).
% 0.19/0.43 tff(126,plain,
% 0.19/0.43 (![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.19/0.43 tff(127,plain,
% 0.19/0.43 (![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[126, 122])).
% 0.19/0.43 tff(128,plain,(
% 0.19/0.43 ![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))),
% 0.19/0.43 inference(skolemize,[status(sab)],[127])).
% 0.19/0.43 tff(129,plain,
% 0.19/0.43 (![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[128, 121])).
% 0.19/0.43 tff(130,plain,
% 0.19/0.43 (((~![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))) | ((~artifact(U!3, X5!4)) | object(U!3, X5!4))) <=> ((~![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))) | (~artifact(U!3, X5!4)) | object(U!3, X5!4))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(131,plain,
% 0.19/0.43 ((~![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))) | ((~artifact(U!3, X5!4)) | object(U!3, X5!4))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(132,plain,
% 0.19/0.43 ((~![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))) | (~artifact(U!3, X5!4)) | object(U!3, X5!4)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.19/0.43 tff(133,plain,
% 0.19/0.43 ($false),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[132, 129, 119, 76])).
% 0.19/0.43 % SZS output end Proof
% 0.19/0.43 % E exiting
%------------------------------------------------------------------------------