%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWC406+1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 05:31:09 AM UTC 2025
% Result : Theorem 0.19s 0.45s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC406+1 : TPTP v9.0.0. Released v2.4.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 09:14:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 % SZS output start Proof
% 0.19/0.45 tff(leq_type, type, (
% 0.19/0.45 leq: ( $i * $i ) > $o)).
% 0.19/0.45 tff(tptp_fun_X1_47_type, type, (
% 0.19/0.45 tptp_fun_X1_47: $i)).
% 0.19/0.45 tff(memberP_type, type, (
% 0.19/0.45 memberP: ( $i * $i ) > $o)).
% 0.19/0.45 tff(tptp_fun_V_46_type, type, (
% 0.19/0.45 tptp_fun_V_46: $i)).
% 0.19/0.45 tff(ssItem_type, type, (
% 0.19/0.45 ssItem: $i > $o)).
% 0.19/0.45 tff(tptp_fun_U_45_type, type, (
% 0.19/0.45 tptp_fun_U_45: $i)).
% 0.19/0.45 tff(tptp_fun_Z_48_type, type, (
% 0.19/0.45 tptp_fun_Z_48: $i > $i)).
% 0.19/0.45 tff(ssList_type, type, (
% 0.19/0.45 ssList: $i > $o)).
% 0.19/0.45 tff(1,plain,
% 0.19/0.45 ((ssList(U!45) & (ssList(V!46) & ssList(U!45) & (~(memberP(V!46, X1!47) | (~memberP(U!45, X1!47)) | (~ssItem(X1!47)))) & ![Y: $i] : ((~ssItem(Y)) | (((~memberP(U!45, Y)) | (memberP(V!46, Y) & ![Z: $i] : (~(ssItem(Z) & (~(Y = Z)) & memberP(V!46, Z) & leq(Z, Y))))) & (memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))))) <=> (ssList(U!45) & ssList(V!46) & (~(memberP(V!46, X1!47) | (~memberP(U!45, X1!47)) | (~ssItem(X1!47)))) & ![Y: $i] : ((~ssItem(Y)) | (((~memberP(U!45, Y)) | (memberP(V!46, Y) & ![Z: $i] : (~(ssItem(Z) & (~(Y = Z)) & memberP(V!46, Z) & leq(Z, Y))))) & (memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(2,plain,
% 0.19/0.45 ((ssList(V!46) & ssList(U!45) & (~(memberP(V!46, X1!47) | (~memberP(U!45, X1!47)) | (~ssItem(X1!47)))) & ![Y: $i] : ((~ssItem(Y)) | (((~memberP(U!45, Y)) | (memberP(V!46, Y) & ![Z: $i] : (~(ssItem(Z) & (~(Y = Z)) & memberP(V!46, Z) & leq(Z, Y))))) & (memberP(U!45, Y) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))) | (~memberP(V!46, Y)))))) <=> (ssList(V!46) & ssList(U!45) & (~(memberP(V!46, X1!47) | (~memberP(U!45, X1!47)) | (~ssItem(X1!47)))) & ![Y: $i] : ((~ssItem(Y)) | (((~memberP(U!45, Y)) | (memberP(V!46, Y) & ![Z: $i] : (~(ssItem(Z) & (~(Y = Z)) & memberP(V!46, Z) & leq(Z, Y))))) & (memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(3,plain,
% 0.19/0.45 ((ssList(U!45) & (ssList(V!46) & ssList(U!45) & (~(memberP(V!46, X1!47) | (~memberP(U!45, X1!47)) | (~ssItem(X1!47)))) & ![Y: $i] : ((~ssItem(Y)) | (((~memberP(U!45, Y)) | (memberP(V!46, Y) & ![Z: $i] : (~(ssItem(Z) & (~(Y = Z)) & memberP(V!46, Z) & leq(Z, Y))))) & (memberP(U!45, Y) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))) | (~memberP(V!46, Y))))))) <=> (ssList(U!45) & (ssList(V!46) & ssList(U!45) & (~(memberP(V!46, X1!47) | (~memberP(U!45, X1!47)) | (~ssItem(X1!47)))) & ![Y: $i] : ((~ssItem(Y)) | (((~memberP(U!45, Y)) | (memberP(V!46, Y) & ![Z: $i] : (~(ssItem(Z) & (~(Y = Z)) & memberP(V!46, Z) & leq(Z, Y))))) & (memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))))))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[2])).
% 0.19/0.45 tff(4,plain,
% 0.19/0.45 ((ssList(U!45) & (ssList(V!46) & ssList(U!45) & (~(memberP(V!46, X1!47) | (~memberP(U!45, X1!47)) | (~ssItem(X1!47)))) & ![Y: $i] : ((~ssItem(Y)) | (((~memberP(U!45, Y)) | (memberP(V!46, Y) & ![Z: $i] : (~(ssItem(Z) & (~(Y = Z)) & memberP(V!46, Z) & leq(Z, Y))))) & (memberP(U!45, Y) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))) | (~memberP(V!46, Y))))))) <=> (ssList(U!45) & ssList(V!46) & (~(memberP(V!46, X1!47) | (~memberP(U!45, X1!47)) | (~ssItem(X1!47)))) & ![Y: $i] : ((~ssItem(Y)) | (((~memberP(U!45, Y)) | (memberP(V!46, Y) & ![Z: $i] : (~(ssItem(Z) & (~(Y = Z)) & memberP(V!46, Z) & leq(Z, Y))))) & (memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))))),
% 0.19/0.45 inference(transitivity,[status(thm)],[3, 1])).
% 0.19/0.45 tff(5,plain,
% 0.19/0.45 ((~![U: $i] : ((~ssList(U)) | ![V: $i] : ((~ssList(V)) | (~ssList(U)) | ![X1: $i] : (memberP(V, X1) | (~memberP(U, X1)) | (~ssItem(X1))) | ?[Y: $i] : (ssItem(Y) & ((memberP(U, Y) & ((~memberP(V, Y)) | ?[Z: $i] : (ssItem(Z) & (~(Y = Z)) & memberP(V, Z) & leq(Z, Y)))) | ((~memberP(U, Y)) & ![Z: $i] : ((Y = Z) | (~memberP(V, Z)) | (~leq(Z, Y)) | (~ssItem(Z))) & memberP(V, Y))))))) <=> (~![U: $i] : ((~ssList(U)) | ![V: $i] : ((~ssList(V)) | (~ssList(U)) | ![X1: $i] : (memberP(V, X1) | (~memberP(U, X1)) | (~ssItem(X1))) | ?[Y: $i] : (ssItem(Y) & ((memberP(U, Y) & ((~memberP(V, Y)) | ?[Z: $i] : (ssItem(Z) & (~(Y = Z)) & memberP(V, Z) & leq(Z, Y)))) | ((~memberP(U, Y)) & ![Z: $i] : ((Y = Z) | (~memberP(V, Z)) | (~leq(Z, Y)) | (~ssItem(Z))) & memberP(V, Y)))))))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(6,plain,
% 0.19/0.45 ((~![U: $i] : (ssList(U) => ![V: $i] : (ssList(V) => ![W: $i] : (ssList(W) => ![X: $i] : (ssList(X) => ((((~(V = X)) | (~(U = W))) | ?[Y: $i] : (ssItem(Y) & ((((~memberP(W, Y)) & ![Z: $i] : (ssItem(Z) => (((~memberP(X, Z)) | (~leq(Z, Y))) | (Y = Z)))) & memberP(X, Y)) | (memberP(W, Y) & ((~memberP(X, Y)) | ?[Z: $i] : (((ssItem(Z) & (~(Y = Z))) & memberP(X, Z)) & leq(Z, Y))))))) | ![X1: $i] : (ssItem(X1) => ((~memberP(U, X1)) | memberP(V, X1))))))))) <=> (~![U: $i] : ((~ssList(U)) | ![V: $i] : ((~ssList(V)) | (~ssList(U)) | ![X1: $i] : (memberP(V, X1) | (~memberP(U, X1)) | (~ssItem(X1))) | ?[Y: $i] : (ssItem(Y) & ((memberP(U, Y) & ((~memberP(V, Y)) | ?[Z: $i] : (ssItem(Z) & (~(Y = Z)) & memberP(V, Z) & leq(Z, Y)))) | ((~memberP(U, Y)) & ![Z: $i] : ((Y = Z) | (~memberP(V, Z)) | (~leq(Z, Y)) | (~ssItem(Z))) & memberP(V, Y)))))))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(7,axiom,(~![U: $i] : (ssList(U) => ![V: $i] : (ssList(V) => ![W: $i] : (ssList(W) => ![X: $i] : (ssList(X) => ((((~(V = X)) | (~(U = W))) | ?[Y: $i] : (ssItem(Y) & ((((~memberP(W, Y)) & ![Z: $i] : (ssItem(Z) => (((~memberP(X, Z)) | (~leq(Z, Y))) | (Y = Z)))) & memberP(X, Y)) | (memberP(W, Y) & ((~memberP(X, Y)) | ?[Z: $i] : (((ssItem(Z) & (~(Y = Z))) & memberP(X, Z)) & leq(Z, Y))))))) | ![X1: $i] : (ssItem(X1) => ((~memberP(U, X1)) | memberP(V, X1))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','co1')).
% 0.19/0.45 tff(8,plain,
% 0.19/0.45 (~![U: $i] : ((~ssList(U)) | ![V: $i] : ((~ssList(V)) | (~ssList(U)) | ![X1: $i] : (memberP(V, X1) | (~memberP(U, X1)) | (~ssItem(X1))) | ?[Y: $i] : (ssItem(Y) & ((memberP(U, Y) & ((~memberP(V, Y)) | ?[Z: $i] : (ssItem(Z) & (~(Y = Z)) & memberP(V, Z) & leq(Z, Y)))) | ((~memberP(U, Y)) & ![Z: $i] : ((Y = Z) | (~memberP(V, Z)) | (~leq(Z, Y)) | (~ssItem(Z))) & memberP(V, Y))))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.45 tff(9,plain,
% 0.19/0.45 (~![U: $i] : ((~ssList(U)) | ![V: $i] : ((~ssList(V)) | (~ssList(U)) | ![X1: $i] : (memberP(V, X1) | (~memberP(U, X1)) | (~ssItem(X1))) | ?[Y: $i] : (ssItem(Y) & ((memberP(U, Y) & ((~memberP(V, Y)) | ?[Z: $i] : (ssItem(Z) & (~(Y = Z)) & memberP(V, Z) & leq(Z, Y)))) | ((~memberP(U, Y)) & ![Z: $i] : ((Y = Z) | (~memberP(V, Z)) | (~leq(Z, Y)) | (~ssItem(Z))) & memberP(V, Y))))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[8, 5])).
% 0.19/0.45 tff(10,plain,
% 0.19/0.45 (~![U: $i] : ((~ssList(U)) | ![V: $i] : ((~ssList(V)) | (~ssList(U)) | ![X1: $i] : (memberP(V, X1) | (~memberP(U, X1)) | (~ssItem(X1))) | ?[Y: $i] : (ssItem(Y) & ((memberP(U, Y) & ((~memberP(V, Y)) | ?[Z: $i] : (ssItem(Z) & (~(Y = Z)) & memberP(V, Z) & leq(Z, Y)))) | ((~memberP(U, Y)) & ![Z: $i] : ((Y = Z) | (~memberP(V, Z)) | (~leq(Z, Y)) | (~ssItem(Z))) & memberP(V, Y))))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.19/0.45 tff(11,plain,
% 0.19/0.45 (~![U: $i] : ((~ssList(U)) | ![V: $i] : ((~ssList(V)) | (~ssList(U)) | ![X1: $i] : (memberP(V, X1) | (~memberP(U, X1)) | (~ssItem(X1))) | ?[Y: $i] : (ssItem(Y) & ((memberP(U, Y) & ((~memberP(V, Y)) | ?[Z: $i] : (ssItem(Z) & (~(Y = Z)) & memberP(V, Z) & leq(Z, Y)))) | ((~memberP(U, Y)) & ![Z: $i] : ((Y = Z) | (~memberP(V, Z)) | (~leq(Z, Y)) | (~ssItem(Z))) & memberP(V, Y))))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[10, 5])).
% 0.19/0.45 tff(12,plain,
% 0.19/0.45 (ssList(U!45) & ssList(V!46) & (~(memberP(V!46, X1!47) | (~memberP(U!45, X1!47)) | (~ssItem(X1!47)))) & ![Y: $i] : ((~ssItem(Y)) | (((~memberP(U!45, Y)) | (memberP(V!46, Y) & ![Z: $i] : (~(ssItem(Z) & (~(Y = Z)) & memberP(V!46, Z) & leq(Z, Y))))) & (memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.19/0.45 tff(13,plain,
% 0.19/0.45 (~(memberP(V!46, X1!47) | (~memberP(U!45, X1!47)) | (~ssItem(X1!47)))),
% 0.19/0.45 inference(and_elim,[status(thm)],[12])).
% 0.19/0.45 tff(14,plain,
% 0.19/0.45 (~memberP(V!46, X1!47)),
% 0.19/0.45 inference(or_elim,[status(thm)],[13])).
% 0.19/0.45 tff(15,plain,
% 0.19/0.45 (((~memberP(V!46, X1!47)) | (~![Z: $i] : ((~ssItem(Z)) | (~memberP(V!46, Z)) | (X1!47 = Z) | (~leq(Z, X1!47))))) | memberP(V!46, X1!47)),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(16,plain,
% 0.19/0.45 ((~memberP(V!46, X1!47)) | (~![Z: $i] : ((~ssItem(Z)) | (~memberP(V!46, Z)) | (X1!47 = Z) | (~leq(Z, X1!47))))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.19/0.45 tff(17,plain,
% 0.19/0.45 (memberP(U!45, X1!47)),
% 0.19/0.45 inference(or_elim,[status(thm)],[13])).
% 0.19/0.45 tff(18,plain,
% 0.19/0.45 ((~((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((~ssItem(Z)) | (~memberP(V!46, Z)) | (X1!47 = Z) | (~leq(Z, X1!47)))))))) | (~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((~ssItem(Z)) | (~memberP(V!46, Z)) | (X1!47 = Z) | (~leq(Z, X1!47))))))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(19,plain,
% 0.19/0.45 (~((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((~ssItem(Z)) | (~memberP(V!46, Z)) | (X1!47 = Z) | (~leq(Z, X1!47)))))))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[18, 17, 16])).
% 0.19/0.45 tff(20,plain,
% 0.19/0.45 (((~(memberP(U!45, X1!47) | (~memberP(V!46, X1!47)) | (~((~ssItem(tptp_fun_Z_48(X1!47))) | (~leq(tptp_fun_Z_48(X1!47), X1!47)) | (~memberP(V!46, tptp_fun_Z_48(X1!47))) | (X1!47 = tptp_fun_Z_48(X1!47)))))) | (~((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((~ssItem(Z)) | (~memberP(V!46, Z)) | (X1!47 = Z) | (~leq(Z, X1!47))))))))) | ((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((~ssItem(Z)) | (~memberP(V!46, Z)) | (X1!47 = Z) | (~leq(Z, X1!47)))))))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(21,plain,
% 0.19/0.45 ((~(memberP(U!45, X1!47) | (~memberP(V!46, X1!47)) | (~((~ssItem(tptp_fun_Z_48(X1!47))) | (~leq(tptp_fun_Z_48(X1!47), X1!47)) | (~memberP(V!46, tptp_fun_Z_48(X1!47))) | (X1!47 = tptp_fun_Z_48(X1!47)))))) | (~((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((~ssItem(Z)) | (~memberP(V!46, Z)) | (X1!47 = Z) | (~leq(Z, X1!47))))))))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[20, 19])).
% 0.19/0.45 tff(22,plain,
% 0.19/0.45 (^[Y: $i] : rewrite(((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))))) <=> ((~ssItem(Y)) | (~((~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))) | (~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z))))))))))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(23,plain,
% 0.19/0.45 (![Y: $i] : ((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))))) <=> ![Y: $i] : ((~ssItem(Y)) | (~((~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))) | (~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))))))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[22])).
% 0.19/0.45 tff(24,plain,
% 0.19/0.45 (^[Y: $i] : refl(((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))))) <=> ((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(25,plain,
% 0.19/0.45 (![Y: $i] : ((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))))) <=> ![Y: $i] : ((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))))))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[24])).
% 0.19/0.45 tff(26,plain,
% 0.19/0.45 (^[Y: $i] : rewrite(((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))))) <=> ((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(27,plain,
% 0.19/0.45 (![Y: $i] : ((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))))) <=> ![Y: $i] : ((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))))))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[26])).
% 0.19/0.45 tff(28,plain,
% 0.19/0.45 (![Y: $i] : ((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))))) <=> ![Y: $i] : ((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))))))),
% 0.19/0.45 inference(transitivity,[status(thm)],[27, 25])).
% 0.19/0.45 tff(29,plain,
% 0.19/0.45 (^[Y: $i] : rewrite(((~ssItem(Y)) | (((~memberP(U!45, Y)) | (memberP(V!46, Y) & ![Z: $i] : (~(ssItem(Z) & (~(Y = Z)) & memberP(V!46, Z) & leq(Z, Y))))) & (memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))) <=> ((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(30,plain,
% 0.19/0.46 (![Y: $i] : ((~ssItem(Y)) | (((~memberP(U!45, Y)) | (memberP(V!46, Y) & ![Z: $i] : (~(ssItem(Z) & (~(Y = Z)) & memberP(V!46, Z) & leq(Z, Y))))) & (memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y)))))))) <=> ![Y: $i] : ((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))))))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[29])).
% 0.19/0.46 tff(31,plain,
% 0.19/0.46 (![Y: $i] : ((~ssItem(Y)) | (((~memberP(U!45, Y)) | (memberP(V!46, Y) & ![Z: $i] : (~(ssItem(Z) & (~(Y = Z)) & memberP(V!46, Z) & leq(Z, Y))))) & (memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))))),
% 0.19/0.46 inference(and_elim,[status(thm)],[12])).
% 0.19/0.46 tff(32,plain,
% 0.19/0.46 (![Y: $i] : ((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))))))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.19/0.46 tff(33,plain,
% 0.19/0.46 (![Y: $i] : ((~ssItem(Y)) | (~((~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))) | (~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))))))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.19/0.46 tff(34,plain,
% 0.19/0.46 (![Y: $i] : ((~ssItem(Y)) | (~((~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))) | (~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))))))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[33, 23])).
% 0.19/0.46 tff(35,plain,
% 0.19/0.46 (ssItem(X1!47)),
% 0.19/0.46 inference(or_elim,[status(thm)],[13])).
% 0.19/0.46 tff(36,plain,
% 0.19/0.46 (((~![Y: $i] : ((~ssItem(Y)) | (~((~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))) | (~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))))))) | ((~ssItem(X1!47)) | (~((~(memberP(U!45, X1!47) | (~memberP(V!46, X1!47)) | (~((~ssItem(tptp_fun_Z_48(X1!47))) | (~leq(tptp_fun_Z_48(X1!47), X1!47)) | (~memberP(V!46, tptp_fun_Z_48(X1!47))) | (X1!47 = tptp_fun_Z_48(X1!47)))))) | (~((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((~ssItem(Z)) | (~memberP(V!46, Z)) | (X1!47 = Z) | (~leq(Z, X1!47)))))))))))) <=> ((~![Y: $i] : ((~ssItem(Y)) | (~((~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))) | (~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))))))) | (~ssItem(X1!47)) | (~((~(memberP(U!45, X1!47) | (~memberP(V!46, X1!47)) | (~((~ssItem(tptp_fun_Z_48(X1!47))) | (~leq(tptp_fun_Z_48(X1!47), X1!47)) | (~memberP(V!46, tptp_fun_Z_48(X1!47))) | (X1!47 = tptp_fun_Z_48(X1!47)))))) | (~((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((~ssItem(Z)) | (~memberP(V!46, Z)) | (X1!47 = Z) | (~leq(Z, X1!47)))))))))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(37,plain,
% 0.19/0.46 (((~ssItem(X1!47)) | (~((~(memberP(U!45, X1!47) | (~memberP(V!46, X1!47)) | (~((X1!47 = tptp_fun_Z_48(X1!47)) | (~memberP(V!46, tptp_fun_Z_48(X1!47))) | (~leq(tptp_fun_Z_48(X1!47), X1!47)) | (~ssItem(tptp_fun_Z_48(X1!47))))))) | (~((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((X1!47 = Z) | (~leq(Z, X1!47)) | (~ssItem(Z)) | (~memberP(V!46, Z))))))))))) <=> ((~ssItem(X1!47)) | (~((~(memberP(U!45, X1!47) | (~memberP(V!46, X1!47)) | (~((~ssItem(tptp_fun_Z_48(X1!47))) | (~leq(tptp_fun_Z_48(X1!47), X1!47)) | (~memberP(V!46, tptp_fun_Z_48(X1!47))) | (X1!47 = tptp_fun_Z_48(X1!47)))))) | (~((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((~ssItem(Z)) | (~memberP(V!46, Z)) | (X1!47 = Z) | (~leq(Z, X1!47)))))))))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(38,plain,
% 0.19/0.46 (((~![Y: $i] : ((~ssItem(Y)) | (~((~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))) | (~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))))))) | ((~ssItem(X1!47)) | (~((~(memberP(U!45, X1!47) | (~memberP(V!46, X1!47)) | (~((X1!47 = tptp_fun_Z_48(X1!47)) | (~memberP(V!46, tptp_fun_Z_48(X1!47))) | (~leq(tptp_fun_Z_48(X1!47), X1!47)) | (~ssItem(tptp_fun_Z_48(X1!47))))))) | (~((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((X1!47 = Z) | (~leq(Z, X1!47)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))))))) <=> ((~![Y: $i] : ((~ssItem(Y)) | (~((~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))) | (~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))))))) | ((~ssItem(X1!47)) | (~((~(memberP(U!45, X1!47) | (~memberP(V!46, X1!47)) | (~((~ssItem(tptp_fun_Z_48(X1!47))) | (~leq(tptp_fun_Z_48(X1!47), X1!47)) | (~memberP(V!46, tptp_fun_Z_48(X1!47))) | (X1!47 = tptp_fun_Z_48(X1!47)))))) | (~((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((~ssItem(Z)) | (~memberP(V!46, Z)) | (X1!47 = Z) | (~leq(Z, X1!47))))))))))))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[37])).
% 0.19/0.46 tff(39,plain,
% 0.19/0.46 (((~![Y: $i] : ((~ssItem(Y)) | (~((~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))) | (~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))))))) | ((~ssItem(X1!47)) | (~((~(memberP(U!45, X1!47) | (~memberP(V!46, X1!47)) | (~((X1!47 = tptp_fun_Z_48(X1!47)) | (~memberP(V!46, tptp_fun_Z_48(X1!47))) | (~leq(tptp_fun_Z_48(X1!47), X1!47)) | (~ssItem(tptp_fun_Z_48(X1!47))))))) | (~((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((X1!47 = Z) | (~leq(Z, X1!47)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))))))) <=> ((~![Y: $i] : ((~ssItem(Y)) | (~((~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))) | (~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))))))) | (~ssItem(X1!47)) | (~((~(memberP(U!45, X1!47) | (~memberP(V!46, X1!47)) | (~((~ssItem(tptp_fun_Z_48(X1!47))) | (~leq(tptp_fun_Z_48(X1!47), X1!47)) | (~memberP(V!46, tptp_fun_Z_48(X1!47))) | (X1!47 = tptp_fun_Z_48(X1!47)))))) | (~((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((~ssItem(Z)) | (~memberP(V!46, Z)) | (X1!47 = Z) | (~leq(Z, X1!47)))))))))))),
% 0.19/0.47 inference(transitivity,[status(thm)],[38, 36])).
% 0.19/0.47 tff(40,plain,
% 0.19/0.47 ((~![Y: $i] : ((~ssItem(Y)) | (~((~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))) | (~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))))))) | ((~ssItem(X1!47)) | (~((~(memberP(U!45, X1!47) | (~memberP(V!46, X1!47)) | (~((X1!47 = tptp_fun_Z_48(X1!47)) | (~memberP(V!46, tptp_fun_Z_48(X1!47))) | (~leq(tptp_fun_Z_48(X1!47), X1!47)) | (~ssItem(tptp_fun_Z_48(X1!47))))))) | (~((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((X1!47 = Z) | (~leq(Z, X1!47)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))))))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(41,plain,
% 0.19/0.47 ((~![Y: $i] : ((~ssItem(Y)) | (~((~(memberP(U!45, Y) | (~memberP(V!46, Y)) | (~((Y = tptp_fun_Z_48(Y)) | (~memberP(V!46, tptp_fun_Z_48(Y))) | (~leq(tptp_fun_Z_48(Y), Y)) | (~ssItem(tptp_fun_Z_48(Y))))))) | (~((~memberP(U!45, Y)) | (~((~memberP(V!46, Y)) | (~![Z: $i] : ((Y = Z) | (~leq(Z, Y)) | (~ssItem(Z)) | (~memberP(V!46, Z)))))))))))) | (~ssItem(X1!47)) | (~((~(memberP(U!45, X1!47) | (~memberP(V!46, X1!47)) | (~((~ssItem(tptp_fun_Z_48(X1!47))) | (~leq(tptp_fun_Z_48(X1!47), X1!47)) | (~memberP(V!46, tptp_fun_Z_48(X1!47))) | (X1!47 = tptp_fun_Z_48(X1!47)))))) | (~((~memberP(U!45, X1!47)) | (~((~memberP(V!46, X1!47)) | (~![Z: $i] : ((~ssItem(Z)) | (~memberP(V!46, Z)) | (X1!47 = Z) | (~leq(Z, X1!47))))))))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.19/0.47 tff(42,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[41, 35, 34, 21])).
% 0.19/0.47 % SZS output end Proof
% 0.19/0.47 % E exiting
%------------------------------------------------------------------------------