%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NUM519+3 : TPTP v9.0.0. Released v4.0.0.
% 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 05:21:15 AM UTC 2025
% Result : Theorem 0.24s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM519+3 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.13/0.36 % Computer : n016.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri Jun 20 01:22:02 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.24/0.43 % SZS status Theorem
% 0.24/0.43 % SZS output start Proof
% 0.24/0.43 tff(sdtasdt0_type, type, (
% 0.24/0.43 sdtasdt0: ( $i * $i ) > $i)).
% 0.24/0.43 tff(tptp_fun_W0_15_type, type, (
% 0.24/0.43 tptp_fun_W0_15: $i)).
% 0.24/0.43 tff(xr_type, type, (
% 0.24/0.43 xr: $i)).
% 0.24/0.43 tff(xn_type, type, (
% 0.24/0.43 xn: $i)).
% 0.24/0.43 tff(aNaturalNumber0_type, type, (
% 0.24/0.43 aNaturalNumber0: $i > $o)).
% 0.24/0.43 tff(doDivides0_type, type, (
% 0.24/0.43 doDivides0: ( $i * $i ) > $o)).
% 0.24/0.43 tff(tptp_fun_W0_16_type, type, (
% 0.24/0.43 tptp_fun_W0_16: $i)).
% 0.24/0.43 tff(xm_type, type, (
% 0.24/0.43 xm: $i)).
% 0.24/0.43 tff(1,plain,
% 0.24/0.43 ((~doDivides0(xr, xn)) <=> (~doDivides0(xr, xn))),
% 0.24/0.43 inference(rewrite,[status(thm)],[])).
% 0.24/0.43 tff(2,axiom,(~(?[W0: $i] : (aNaturalNumber0(W0) & (xn = sdtasdt0(xr, W0))) | doDivides0(xr, xn))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m__2487')).
% 0.24/0.43 tff(3,plain,
% 0.24/0.43 (~doDivides0(xr, xn)),
% 0.24/0.43 inference(or_elim,[status(thm)],[2])).
% 0.24/0.43 tff(4,plain,
% 0.24/0.43 (~doDivides0(xr, xn)),
% 0.24/0.43 inference(modus_ponens,[status(thm)],[3, 1])).
% 0.24/0.43 tff(5,plain,
% 0.24/0.43 (((~doDivides0(xr, xn)) | (~aNaturalNumber0(W0!15)) | (~(xn = sdtasdt0(xr, W0!15)))) | doDivides0(xr, xn)),
% 0.24/0.43 inference(tautology,[status(thm)],[])).
% 0.24/0.43 tff(6,plain,
% 0.24/0.43 ((~doDivides0(xr, xn)) | (~aNaturalNumber0(W0!15)) | (~(xn = sdtasdt0(xr, W0!15)))),
% 0.24/0.43 inference(unit_resolution,[status(thm)],[5, 4])).
% 0.24/0.43 tff(7,plain,
% 0.24/0.43 ((~doDivides0(xr, xm)) <=> (~doDivides0(xr, xm))),
% 0.24/0.43 inference(rewrite,[status(thm)],[])).
% 0.24/0.43 tff(8,axiom,(~(?[W0: $i] : (aNaturalNumber0(W0) & (xm = sdtasdt0(xr, W0))) | doDivides0(xr, xm))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m__2698')).
% 0.24/0.43 tff(9,plain,
% 0.24/0.43 (~doDivides0(xr, xm)),
% 0.24/0.43 inference(or_elim,[status(thm)],[8])).
% 0.24/0.43 tff(10,plain,
% 0.24/0.43 (~doDivides0(xr, xm)),
% 0.24/0.43 inference(modus_ponens,[status(thm)],[9, 7])).
% 0.24/0.43 tff(11,plain,
% 0.24/0.43 (((~doDivides0(xr, xm)) | (~aNaturalNumber0(W0!16)) | (~(xm = sdtasdt0(xr, W0!16)))) | doDivides0(xr, xm)),
% 0.24/0.43 inference(tautology,[status(thm)],[])).
% 0.24/0.43 tff(12,plain,
% 0.24/0.43 ((~doDivides0(xr, xm)) | (~aNaturalNumber0(W0!16)) | (~(xm = sdtasdt0(xr, W0!16)))),
% 0.24/0.43 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.24/0.43 tff(13,plain,
% 0.24/0.43 (((~((~doDivides0(xr, xn)) | (~aNaturalNumber0(W0!15)) | (~(xn = sdtasdt0(xr, W0!15))))) | (~((~doDivides0(xr, xm)) | (~aNaturalNumber0(W0!16)) | (~(xm = sdtasdt0(xr, W0!16)))))) <=> ((~((~doDivides0(xr, xn)) | (~aNaturalNumber0(W0!15)) | (~(xn = sdtasdt0(xr, W0!15))))) | (~((~doDivides0(xr, xm)) | (~aNaturalNumber0(W0!16)) | (~(xm = sdtasdt0(xr, W0!16))))))),
% 0.24/0.43 inference(rewrite,[status(thm)],[])).
% 0.24/0.43 tff(14,plain,
% 0.24/0.43 ((aNaturalNumber0(W0!16) & (xm = sdtasdt0(xr, W0!16)) & doDivides0(xr, xm)) <=> (~((~doDivides0(xr, xm)) | (~aNaturalNumber0(W0!16)) | (~(xm = sdtasdt0(xr, W0!16)))))),
% 0.24/0.43 inference(rewrite,[status(thm)],[])).
% 0.24/0.43 tff(15,plain,
% 0.24/0.43 ((aNaturalNumber0(W0!15) & (xn = sdtasdt0(xr, W0!15)) & doDivides0(xr, xn)) <=> (~((~doDivides0(xr, xn)) | (~aNaturalNumber0(W0!15)) | (~(xn = sdtasdt0(xr, W0!15)))))),
% 0.24/0.43 inference(rewrite,[status(thm)],[])).
% 0.24/0.43 tff(16,plain,
% 0.24/0.43 (((aNaturalNumber0(W0!15) & (xn = sdtasdt0(xr, W0!15)) & doDivides0(xr, xn)) | (aNaturalNumber0(W0!16) & (xm = sdtasdt0(xr, W0!16)) & doDivides0(xr, xm))) <=> ((~((~doDivides0(xr, xn)) | (~aNaturalNumber0(W0!15)) | (~(xn = sdtasdt0(xr, W0!15))))) | (~((~doDivides0(xr, xm)) | (~aNaturalNumber0(W0!16)) | (~(xm = sdtasdt0(xr, W0!16))))))),
% 0.24/0.43 inference(monotonicity,[status(thm)],[15, 14])).
% 0.24/0.43 tff(17,plain,
% 0.24/0.43 (((aNaturalNumber0(W0!15) & (xn = sdtasdt0(xr, W0!15)) & doDivides0(xr, xn)) | (aNaturalNumber0(W0!16) & (xm = sdtasdt0(xr, W0!16)) & doDivides0(xr, xm))) <=> ((~((~doDivides0(xr, xn)) | (~aNaturalNumber0(W0!15)) | (~(xn = sdtasdt0(xr, W0!15))))) | (~((~doDivides0(xr, xm)) | (~aNaturalNumber0(W0!16)) | (~(xm = sdtasdt0(xr, W0!16))))))),
% 0.24/0.43 inference(transitivity,[status(thm)],[16, 13])).
% 0.24/0.43 tff(18,plain,
% 0.24/0.43 ((((aNaturalNumber0(W0!15) & (xn = sdtasdt0(xr, W0!15))) & doDivides0(xr, xn)) | ((aNaturalNumber0(W0!16) & (xm = sdtasdt0(xr, W0!16))) & doDivides0(xr, xm))) <=> ((aNaturalNumber0(W0!15) & (xn = sdtasdt0(xr, W0!15)) & doDivides0(xr, xn)) | (aNaturalNumber0(W0!16) & (xm = sdtasdt0(xr, W0!16)) & doDivides0(xr, xm)))),
% 0.24/0.43 inference(rewrite,[status(thm)],[])).
% 0.24/0.43 tff(19,plain,
% 0.24/0.43 (((?[W0: $i] : (aNaturalNumber0(W0) & (xn = sdtasdt0(xr, W0))) & doDivides0(xr, xn)) | (?[W0: $i] : (aNaturalNumber0(W0) & (xm = sdtasdt0(xr, W0))) & doDivides0(xr, xm))) <=> ((?[W0: $i] : (aNaturalNumber0(W0) & (xn = sdtasdt0(xr, W0))) & doDivides0(xr, xn)) | (?[W0: $i] : (aNaturalNumber0(W0) & (xm = sdtasdt0(xr, W0))) & doDivides0(xr, xm)))),
% 0.24/0.43 inference(rewrite,[status(thm)],[])).
% 0.24/0.43 tff(20,plain,
% 0.24/0.43 ((?[W0: $i] : (aNaturalNumber0(W0) & (xm = sdtasdt0(xr, W0))) & doDivides0(xr, xm)) <=> (?[W0: $i] : (aNaturalNumber0(W0) & (xm = sdtasdt0(xr, W0))) & doDivides0(xr, xm))),
% 0.24/0.43 inference(rewrite,[status(thm)],[])).
% 0.24/0.43 tff(21,plain,
% 0.24/0.43 ((?[W0: $i] : (aNaturalNumber0(W0) & (xn = sdtasdt0(xr, W0))) & doDivides0(xr, xn)) <=> (?[W0: $i] : (aNaturalNumber0(W0) & (xn = sdtasdt0(xr, W0))) & doDivides0(xr, xn))),
% 0.24/0.43 inference(rewrite,[status(thm)],[])).
% 0.24/0.43 tff(22,plain,
% 0.24/0.43 (((?[W0: $i] : (aNaturalNumber0(W0) & (xn = sdtasdt0(xr, W0))) & doDivides0(xr, xn)) | (?[W0: $i] : (aNaturalNumber0(W0) & (xm = sdtasdt0(xr, W0))) & doDivides0(xr, xm))) <=> ((?[W0: $i] : (aNaturalNumber0(W0) & (xn = sdtasdt0(xr, W0))) & doDivides0(xr, xn)) | (?[W0: $i] : (aNaturalNumber0(W0) & (xm = sdtasdt0(xr, W0))) & doDivides0(xr, xm)))),
% 0.24/0.43 inference(monotonicity,[status(thm)],[21, 20])).
% 0.24/0.43 tff(23,plain,
% 0.24/0.43 (((?[W0: $i] : (aNaturalNumber0(W0) & (xn = sdtasdt0(xr, W0))) & doDivides0(xr, xn)) | (?[W0: $i] : (aNaturalNumber0(W0) & (xm = sdtasdt0(xr, W0))) & doDivides0(xr, xm))) <=> ((?[W0: $i] : (aNaturalNumber0(W0) & (xn = sdtasdt0(xr, W0))) & doDivides0(xr, xn)) | (?[W0: $i] : (aNaturalNumber0(W0) & (xm = sdtasdt0(xr, W0))) & doDivides0(xr, xm)))),
% 0.24/0.43 inference(transitivity,[status(thm)],[22, 19])).
% 0.24/0.43 tff(24,axiom,((?[W0: $i] : (aNaturalNumber0(W0) & (xn = sdtasdt0(xr, W0))) & doDivides0(xr, xn)) | (?[W0: $i] : (aNaturalNumber0(W0) & (xm = sdtasdt0(xr, W0))) & doDivides0(xr, xm))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m__2449')).
% 0.24/0.43 tff(25,plain,
% 0.24/0.43 ((?[W0: $i] : (aNaturalNumber0(W0) & (xn = sdtasdt0(xr, W0))) & doDivides0(xr, xn)) | (?[W0: $i] : (aNaturalNumber0(W0) & (xm = sdtasdt0(xr, W0))) & doDivides0(xr, xm))),
% 0.24/0.43 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.24/0.43 tff(26,plain,
% 0.24/0.43 ((?[W0: $i] : (aNaturalNumber0(W0) & (xn = sdtasdt0(xr, W0))) & doDivides0(xr, xn)) | (?[W0: $i] : (aNaturalNumber0(W0) & (xm = sdtasdt0(xr, W0))) & doDivides0(xr, xm))),
% 0.24/0.43 inference(modus_ponens,[status(thm)],[25, 23])).
% 0.24/0.43 tff(27,plain,
% 0.24/0.43 ((?[W0: $i] : (aNaturalNumber0(W0) & (xn = sdtasdt0(xr, W0))) & doDivides0(xr, xn)) | (?[W0: $i] : (aNaturalNumber0(W0) & (xm = sdtasdt0(xr, W0))) & doDivides0(xr, xm))),
% 0.24/0.43 inference(modus_ponens,[status(thm)],[26, 19])).
% 0.24/0.43 tff(28,plain,
% 0.24/0.43 ((?[W0: $i] : (aNaturalNumber0(W0) & (xn = sdtasdt0(xr, W0))) & doDivides0(xr, xn)) | (?[W0: $i] : (aNaturalNumber0(W0) & (xm = sdtasdt0(xr, W0))) & doDivides0(xr, xm))),
% 0.24/0.43 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.24/0.43 Proof display could not be completed: monotonicity rule is not handled
% 0.24/0.44 % E exiting
%------------------------------------------------------------------------------