TSTP Solution File: NUM540+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NUM540+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.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 13:10:23 EDT 2022
% Result : Theorem 0.20s 0.41s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM540+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Sep 2 11:37:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.20/0.41 % SZS status Theorem
% 0.20/0.41 % SZS output start Proof
% 0.20/0.41 tff(aElementOf0_type, type, (
% 0.20/0.41 aElementOf0: ( $i * $i ) > $o)).
% 0.20/0.41 tff(slbdtrb0_type, type, (
% 0.20/0.41 slbdtrb0: $i > $i)).
% 0.20/0.41 tff(sz00_type, type, (
% 0.20/0.41 sz00: $i)).
% 0.20/0.41 tff(aSet0_type, type, (
% 0.20/0.41 aSet0: $i > $o)).
% 0.20/0.41 tff(slcrc0_type, type, (
% 0.20/0.41 slcrc0: $i)).
% 0.20/0.41 tff(tptp_fun_W0_9_type, type, (
% 0.20/0.41 tptp_fun_W0_9: $i)).
% 0.20/0.41 tff(1,plain,
% 0.20/0.41 (^[W0: $i] : refl((~aElementOf0(W0, slbdtrb0(sz00))) <=> (~aElementOf0(W0, slbdtrb0(sz00))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(2,plain,
% 0.20/0.41 (![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00))) <=> ![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.41 tff(3,plain,
% 0.20/0.41 (![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00))) <=> ![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(4,plain,
% 0.20/0.41 ((~((aSet0(slbdtrb0(sz00)) & ![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))) => ((~?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00))) | (slbdtrb0(sz00) = slcrc0)))) <=> (~((slbdtrb0(sz00) = slcrc0) | (~?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00))) | (~(aSet0(slbdtrb0(sz00)) & ![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(5,axiom,(~((aSet0(slbdtrb0(sz00)) & ![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))) => ((~?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00))) | (slbdtrb0(sz00) = slcrc0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m__')).
% 0.20/0.41 tff(6,plain,
% 0.20/0.41 (~((slbdtrb0(sz00) = slcrc0) | (~?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00))) | (~(aSet0(slbdtrb0(sz00)) & ![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00))))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.20/0.41 tff(7,plain,
% 0.20/0.41 (aSet0(slbdtrb0(sz00)) & ![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))),
% 0.20/0.41 inference(or_elim,[status(thm)],[6])).
% 0.20/0.41 tff(8,plain,
% 0.20/0.41 (![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))),
% 0.20/0.41 inference(and_elim,[status(thm)],[7])).
% 0.20/0.41 tff(9,plain,
% 0.20/0.41 (![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[8, 3])).
% 0.20/0.41 tff(10,plain,(
% 0.20/0.41 ![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[9])).
% 0.20/0.41 tff(11,plain,
% 0.20/0.41 (![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[10, 2])).
% 0.20/0.41 tff(12,plain,
% 0.20/0.41 (?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00)) <=> ?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(13,plain,
% 0.20/0.41 (?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00))),
% 0.20/0.41 inference(or_elim,[status(thm)],[6])).
% 0.20/0.41 tff(14,plain,
% 0.20/0.41 (?[W0: $i] : aElementOf0(W0, slbdtrb0(sz00))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.20/0.41 tff(15,plain,(
% 0.20/0.41 aElementOf0(W0!9, slbdtrb0(sz00))),
% 0.20/0.41 inference(skolemize,[status(sab)],[14])).
% 0.20/0.41 tff(16,plain,
% 0.20/0.41 ((~![W0: $i] : (~aElementOf0(W0, slbdtrb0(sz00)))) | (~aElementOf0(W0!9, slbdtrb0(sz00)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(17,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[16, 15, 11])).
% 0.20/0.41 % SZS output end Proof
%------------------------------------------------------------------------------