TSTP Solution File: NUM564+3 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NUM564+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n008.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 : Sun Sep 18 13:10:33 EDT 2022
% Result : Theorem 0.21s 0.45s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM564+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 11:52:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.21/0.45 % SZS status Theorem
% 0.21/0.45 % SZS output start Proof
% 0.21/0.45 tff(aElementOf0_type, type, (
% 0.21/0.45 aElementOf0: ( $i * $i ) > $o)).
% 0.21/0.45 tff(slbdtrb0_type, type, (
% 0.21/0.45 slbdtrb0: $i > $i)).
% 0.21/0.45 tff(sz00_type, type, (
% 0.21/0.45 sz00: $i)).
% 0.21/0.45 tff(slcrc0_type, type, (
% 0.21/0.45 slcrc0: $i)).
% 0.21/0.45 tff(aSet0_type, type, (
% 0.21/0.45 aSet0: $i > $o)).
% 0.21/0.45 tff(xS_type, type, (
% 0.21/0.45 xS: $i)).
% 0.21/0.45 tff(slbdtsldtrb0_type, type, (
% 0.21/0.45 slbdtsldtrb0: ( $i * $i ) > $i)).
% 0.21/0.45 tff(aSubsetOf0_type, type, (
% 0.21/0.45 aSubsetOf0: ( $i * $i ) > $o)).
% 0.21/0.45 tff(tptp_fun_W0_29_type, type, (
% 0.21/0.45 tptp_fun_W0_29: $i)).
% 0.21/0.45 tff(1,plain,
% 0.21/0.45 (^[W0: $i] : refl((~aElementOf0(W0, slbdtrb0(sz00))) <=> (~aElementOf0(W0, slbdtrb0(sz00))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(2,plain,
% 0.21/0.45 (![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00))) <=> ![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[1])).
% 0.21/0.45 tff(3,plain,
% 0.21/0.45 ((~?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00))) <=> (~?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(4,plain,
% 0.21/0.45 ((~?[W0: $i] : aElementOf0(W0, slcrc0)) <=> (~?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(5,plain,
% 0.21/0.45 ((~?[W0: $i] : aElementOf0(W0, slcrc0)) <=> (~?[W0: $i] : aElementOf0(W0, slcrc0))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(6,plain,
% 0.21/0.45 ((~((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))))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(7,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/sandbox2/benchmark/theBenchmark.p','m__')).
% 0.21/0.45 tff(8,plain,
% 0.21/0.45 (~(aSubsetOf0(slcrc0, xS) | aElementOf0(slcrc0, slbdtsldtrb0(xS, sz00)) | ![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS)) | (~(aSet0(slcrc0) & (~?[W0: $i] : aElementOf0(W0, slcrc0)))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.21/0.45 tff(9,plain,
% 0.21/0.45 (aSet0(slcrc0) & (~?[W0: $i] : aElementOf0(W0, slcrc0))),
% 0.21/0.45 inference(or_elim,[status(thm)],[8])).
% 0.21/0.45 tff(10,plain,
% 0.21/0.45 (~?[W0: $i] : aElementOf0(W0, slcrc0)),
% 0.21/0.45 inference(and_elim,[status(thm)],[9])).
% 0.21/0.45 tff(11,plain,
% 0.21/0.45 (~?[W0: $i] : aElementOf0(W0, slcrc0)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[10, 5])).
% 0.21/0.45 tff(12,plain,
% 0.21/0.45 (~?[W0: $i] : aElementOf0(W0, slcrc0)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[11, 5])).
% 0.21/0.45 tff(13,plain,
% 0.21/0.45 (~?[W0: $i] : aElementOf0(W0, slcrc0)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[12, 5])).
% 0.21/0.45 tff(14,plain,
% 0.21/0.45 (~?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[13, 4])).
% 0.21/0.45 tff(15,plain,
% 0.21/0.45 (~?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[14, 3])).
% 0.21/0.45 tff(16,plain,
% 0.21/0.45 (~?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[15, 3])).
% 0.21/0.45 tff(17,plain,
% 0.21/0.45 (~?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[16, 3])).
% 0.21/0.45 tff(18,plain,
% 0.21/0.45 (^[W0: $i] : refl($oeq((~aElementOf0(W0, slbdtrb0(sz00))), (~aElementOf0(W0, slbdtrb0(sz00)))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(19,plain,(
% 0.21/0.45 ![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))),
% 0.21/0.45 inference(nnf-neg,[status(sab)],[17, 18])).
% 0.21/0.45 tff(20,plain,
% 0.21/0.45 (![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[19, 2])).
% 0.21/0.45 tff(21,plain,
% 0.21/0.45 ((~![W0: $i] : ((~aElementOf0(W0, slbdtrb0(sz00))) | aElementOf0(W0, xS))) <=> (~![W0: $i] : ((~aElementOf0(W0, slbdtrb0(sz00))) | aElementOf0(W0, xS)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(22,plain,
% 0.21/0.45 ((~![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS))) <=> (~![W0: $i] : ((~aElementOf0(W0, slbdtrb0(sz00))) | aElementOf0(W0, xS)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(23,plain,
% 0.21/0.46 ((~![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS))) <=> (~![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(24,plain,
% 0.21/0.46 (~![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS))),
% 0.21/0.46 inference(or_elim,[status(thm)],[8])).
% 0.21/0.46 tff(25,plain,
% 0.21/0.46 (~![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.21/0.46 tff(26,plain,
% 0.21/0.46 (~![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[25, 23])).
% 0.21/0.46 tff(27,plain,
% 0.21/0.46 (~![W0: $i] : ((~aElementOf0(W0, slcrc0)) | aElementOf0(W0, xS))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[26, 23])).
% 0.21/0.46 tff(28,plain,
% 0.21/0.46 (~![W0: $i] : ((~aElementOf0(W0, slbdtrb0(sz00))) | aElementOf0(W0, xS))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[27, 22])).
% 0.21/0.46 tff(29,plain,
% 0.21/0.46 (~![W0: $i] : ((~aElementOf0(W0, slbdtrb0(sz00))) | aElementOf0(W0, xS))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[28, 21])).
% 0.21/0.46 tff(30,plain,
% 0.21/0.46 (~![W0: $i] : ((~aElementOf0(W0, slbdtrb0(sz00))) | aElementOf0(W0, xS))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[29, 21])).
% 0.21/0.46 tff(31,plain,
% 0.21/0.46 (~![W0: $i] : ((~aElementOf0(W0, slbdtrb0(sz00))) | aElementOf0(W0, xS))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[30, 21])).
% 0.21/0.46 tff(32,plain,(
% 0.21/0.46 ~((~aElementOf0(W0!29, slbdtrb0(sz00))) | aElementOf0(W0!29, xS))),
% 0.21/0.46 inference(skolemize,[status(sab)],[31])).
% 0.21/0.46 tff(33,plain,
% 0.21/0.46 (aElementOf0(W0!29, slbdtrb0(sz00))),
% 0.21/0.46 inference(or_elim,[status(thm)],[32])).
% 0.21/0.46 tff(34,plain,
% 0.21/0.46 ((~![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))) | (~aElementOf0(W0!29, slbdtrb0(sz00)))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(35,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[34, 33, 20])).
% 0.21/0.46 % SZS output end Proof
%------------------------------------------------------------------------------