%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NUM564+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.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 05:21:25 AM UTC 2025
% Result : Theorem 0.20s 0.43s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM564+3 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 01:27:03 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.43 % SZS status Theorem
% 0.20/0.43 % SZS output start Proof
% 0.20/0.43 tff(aElementOf0_type, type, (
% 0.20/0.43 aElementOf0: ( $i * $i ) > $o)).
% 0.20/0.43 tff(slcrc0_type, type, (
% 0.20/0.43 slcrc0: $i)).
% 0.20/0.43 tff(aSet0_type, type, (
% 0.20/0.43 aSet0: $i > $o)).
% 0.20/0.43 tff(xS_type, type, (
% 0.20/0.43 xS: $i)).
% 0.20/0.43 tff(slbdtsldtrb0_type, type, (
% 0.20/0.43 slbdtsldtrb0: ( $i * $i ) > $i)).
% 0.20/0.43 tff(sz00_type, type, (
% 0.20/0.43 sz00: $i)).
% 0.20/0.43 tff(aSubsetOf0_type, type, (
% 0.20/0.43 aSubsetOf0: ( $i * $i ) > $o)).
% 0.20/0.43 tff(tptp_fun_W0_29_type, type, (
% 0.20/0.43 tptp_fun_W0_29: $i)).
% 0.20/0.43 tff(1,plain,
% 0.20/0.43 (^[W0: $i] : refl((~aElementOf0(W0, slcrc0)) <=> (~aElementOf0(W0, slcrc0)))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(2,plain,
% 0.20/0.43 (![W0: $i] : (~aElementOf0(W0, slcrc0)) <=> ![W0: $i] : (~aElementOf0(W0, slcrc0))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.43 tff(3,plain,
% 0.20/0.43 ((~?[W0: $i] : aElementOf0(W0, slcrc0)) <=> (~?[W0: $i] : aElementOf0(W0, slcrc0))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(4,plain,
% 0.20/0.43 ((~((aSet0(slcrc0) & (~?[W0: $i] : aElementOf0(W0, slcrc0))) => ((![W0: $i] : (aElementOf0(W0, slcrc0) => aElementOf0(W0, xS)) | aSubsetOf0(slcrc0, xS)) | aElementOf0(slcrc0, slbdtsldtrb0(xS, sz00))))) <=> (~(aSubsetOf0(slcrc0, xS) | aElementOf0(slcrc0, slbdtsldtrb0(xS, sz00)) | ![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS)) | (~(aSet0(slcrc0) & (~?[W0: $i] : aElementOf0(W0, slcrc0))))))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(5,axiom,(~((aSet0(slcrc0) & (~?[W0: $i] : aElementOf0(W0, slcrc0))) => ((![W0: $i] : (aElementOf0(W0, slcrc0) => aElementOf0(W0, xS)) | aSubsetOf0(slcrc0, xS)) | aElementOf0(slcrc0, slbdtsldtrb0(xS, sz00))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m__')).
% 0.20/0.43 tff(6,plain,
% 0.20/0.43 (~(aSubsetOf0(slcrc0, xS) | aElementOf0(slcrc0, slbdtsldtrb0(xS, sz00)) | ![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS)) | (~(aSet0(slcrc0) & (~?[W0: $i] : aElementOf0(W0, slcrc0)))))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.20/0.43 tff(7,plain,
% 0.20/0.43 (aSet0(slcrc0) & (~?[W0: $i] : aElementOf0(W0, slcrc0))),
% 0.20/0.43 inference(or_elim,[status(thm)],[6])).
% 0.20/0.43 tff(8,plain,
% 0.20/0.43 (~?[W0: $i] : aElementOf0(W0, slcrc0)),
% 0.20/0.43 inference(and_elim,[status(thm)],[7])).
% 0.20/0.43 tff(9,plain,
% 0.20/0.43 (~?[W0: $i] : aElementOf0(W0, slcrc0)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[8, 3])).
% 0.20/0.43 tff(10,plain,
% 0.20/0.43 (~?[W0: $i] : aElementOf0(W0, slcrc0)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[9, 3])).
% 0.20/0.43 tff(11,plain,
% 0.20/0.43 (~?[W0: $i] : aElementOf0(W0, slcrc0)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.20/0.43 tff(12,plain,
% 0.20/0.43 (^[W0: $i] : refl($oeq((~aElementOf0(W0, slcrc0)), (~aElementOf0(W0, slcrc0))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(13,plain,(
% 0.20/0.43 ![W0: $i] : (~aElementOf0(W0, slcrc0))),
% 0.20/0.43 inference(nnf-neg,[status(sab)],[11, 12])).
% 0.20/0.43 tff(14,plain,
% 0.20/0.43 (![W0: $i] : (~aElementOf0(W0, slcrc0))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[13, 2])).
% 0.20/0.43 tff(15,plain,
% 0.20/0.43 ((~![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS))) <=> (~![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(16,plain,
% 0.20/0.43 (~![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS))),
% 0.20/0.43 inference(or_elim,[status(thm)],[6])).
% 0.20/0.43 tff(17,plain,
% 0.20/0.43 (~![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.20/0.43 tff(18,plain,
% 0.20/0.43 (~![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[17, 15])).
% 0.20/0.43 tff(19,plain,
% 0.20/0.43 (~![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[18, 15])).
% 0.20/0.43 tff(20,plain,(
% 0.20/0.43 ~((~aElementOf0(W0!29, slcrc0)) | aElementOf0(W0!29, xS))),
% 0.20/0.43 inference(skolemize,[status(sab)],[19])).
% 0.20/0.43 tff(21,plain,
% 0.20/0.43 (aElementOf0(W0!29, slcrc0)),
% 0.20/0.43 inference(or_elim,[status(thm)],[20])).
% 0.20/0.43 tff(22,plain,
% 0.20/0.43 ((~![W0: $i] : (~aElementOf0(W0, slcrc0))) | (~aElementOf0(W0!29, slcrc0))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(23,plain,
% 0.20/0.43 ($false),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[22, 21, 14])).
% 0.20/0.43 % SZS output end Proof
% 0.20/0.44 % E exiting
%------------------------------------------------------------------------------