TSTP Solution File: GEO228+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 : Fri Sep 16 20:35:54 EDT 2022
% Result : Theorem 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.12/0.11 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Aug 31 07:08:56 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33 Usage: tptp [options] [-file:]file
% 0.12/0.33 -h, -? prints this message.
% 0.12/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.33 -m, -model generate model.
% 0.12/0.33 -p, -proof generate proof.
% 0.12/0.33 -c, -core generate unsat core of named formulas.
% 0.12/0.33 -st, -statistics display statistics.
% 0.12/0.33 -t:timeout set timeout (in second).
% 0.12/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33 -<param>:<value> configuration parameter and value.
% 0.12/0.33 -o:<output-file> file to place output in.
% 0.12/0.38 % SZS status Theorem
% 0.12/0.38 % SZS output start Proof
% 0.12/0.38 tff(unequally_directed_lines_type, type, (
% 0.12/0.38 unequally_directed_lines: ( $i * $i ) > $o)).
% 0.12/0.38 tff(reverse_line_type, type, (
% 0.12/0.38 reverse_line: $i > $i)).
% 0.12/0.38 tff(tptp_fun_M_0_type, type, (
% 0.12/0.38 tptp_fun_M_0: $i)).
% 0.12/0.38 tff(tptp_fun_L_1_type, type, (
% 0.12/0.38 tptp_fun_L_1: $i)).
% 0.12/0.38 tff(convergent_lines_type, type, (
% 0.12/0.38 convergent_lines: ( $i * $i ) > $o)).
% 0.12/0.38 tff(1,assumption,(~((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0))))), introduced(assumption)).
% 0.12/0.38 tff(2,plain,
% 0.12/0.38 ((~((~convergent_lines(L!1, M!0)) <=> ((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0)))))) <=> (convergent_lines(L!1, M!0) <=> ((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0)))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(3,plain,
% 0.12/0.38 ((~![L: $i, M: $i] : ((~convergent_lines(L, M)) <=> ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))) <=> (~![L: $i, M: $i] : ((~convergent_lines(L, M)) <=> ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M))))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(4,axiom,(~![L: $i, M: $i] : ((~convergent_lines(L, M)) <=> ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','con')).
% 0.12/0.38 tff(5,plain,
% 0.12/0.38 (~![L: $i, M: $i] : ((~convergent_lines(L, M)) <=> ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.12/0.38 tff(6,plain,
% 0.12/0.38 (~![L: $i, M: $i] : ((~convergent_lines(L, M)) <=> ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[5, 3])).
% 0.12/0.38 tff(7,plain,
% 0.12/0.38 (~![L: $i, M: $i] : ((~convergent_lines(L, M)) <=> ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[6, 3])).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 (~![L: $i, M: $i] : ((~convergent_lines(L, M)) <=> ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.12/0.38 tff(9,plain,
% 0.12/0.38 (~![L: $i, M: $i] : ((~convergent_lines(L, M)) <=> ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[8, 3])).
% 0.12/0.38 tff(10,plain,
% 0.12/0.38 (~![L: $i, M: $i] : ((~convergent_lines(L, M)) <=> ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[9, 3])).
% 0.12/0.38 tff(11,plain,
% 0.12/0.38 (~![L: $i, M: $i] : ((~convergent_lines(L, M)) <=> ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.12/0.38 tff(12,plain,(
% 0.12/0.38 ~((~convergent_lines(L!1, M!0)) <=> ((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0)))))),
% 0.12/0.38 inference(skolemize,[status(sab)],[11])).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 (convergent_lines(L!1, M!0) <=> ((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[12, 2])).
% 0.12/0.38 tff(14,plain,
% 0.12/0.38 ((~convergent_lines(L!1, M!0)) | ((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0)))) | (~(convergent_lines(L!1, M!0) <=> ((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0))))))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(15,plain,
% 0.12/0.38 ((~convergent_lines(L!1, M!0)) | ((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0))))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 (~convergent_lines(L!1, M!0)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[15, 1])).
% 0.12/0.38 tff(17,plain,
% 0.12/0.38 (^[L: $i, M: $i] : refl((convergent_lines(L, M) <=> (~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))) <=> (convergent_lines(L, M) <=> (~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(18,plain,
% 0.12/0.38 (![L: $i, M: $i] : (convergent_lines(L, M) <=> (~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))) <=> ![L: $i, M: $i] : (convergent_lines(L, M) <=> (~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M))))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[17])).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 (^[L: $i, M: $i] : rewrite((convergent_lines(L, M) <=> (unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))) <=> (convergent_lines(L, M) <=> (~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(20,plain,
% 0.12/0.38 (![L: $i, M: $i] : (convergent_lines(L, M) <=> (unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))) <=> ![L: $i, M: $i] : (convergent_lines(L, M) <=> (~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M))))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[19])).
% 0.12/0.38 tff(21,plain,
% 0.12/0.38 (![L: $i, M: $i] : (convergent_lines(L, M) <=> (unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))) <=> ![L: $i, M: $i] : (convergent_lines(L, M) <=> (unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(22,axiom,(![L: $i, M: $i] : (convergent_lines(L, M) <=> (unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax','con_def')).
% 0.12/0.38 tff(23,plain,
% 0.12/0.38 (![L: $i, M: $i] : (convergent_lines(L, M) <=> (unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.12/0.38 tff(24,plain,(
% 0.12/0.38 ![L: $i, M: $i] : (convergent_lines(L, M) <=> (unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))))),
% 0.12/0.38 inference(skolemize,[status(sab)],[23])).
% 0.12/0.38 tff(25,plain,
% 0.12/0.38 (![L: $i, M: $i] : (convergent_lines(L, M) <=> (~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.12/0.38 tff(26,plain,
% 0.12/0.38 (![L: $i, M: $i] : (convergent_lines(L, M) <=> (~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[25, 18])).
% 0.12/0.38 tff(27,plain,
% 0.12/0.38 ((~![L: $i, M: $i] : (convergent_lines(L, M) <=> (~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M))))))) | (convergent_lines(L!1, M!0) <=> (~((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0))))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(28,plain,
% 0.12/0.38 (convergent_lines(L!1, M!0) <=> (~((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0)))))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[27, 26])).
% 0.12/0.38 tff(29,plain,
% 0.12/0.38 ((~(convergent_lines(L!1, M!0) <=> (~((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0))))))) | convergent_lines(L!1, M!0) | ((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0))))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(30,plain,
% 0.12/0.38 (convergent_lines(L!1, M!0) | ((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0))))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.12/0.38 tff(31,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[30, 16, 1])).
% 0.12/0.38 tff(32,plain,((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0)))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(33,plain,
% 0.12/0.38 (convergent_lines(L!1, M!0) | (~((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0))))) | (~(convergent_lines(L!1, M!0) <=> ((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0))))))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(34,plain,
% 0.12/0.38 (convergent_lines(L!1, M!0) | (~((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0)))))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[33, 13])).
% 0.12/0.38 tff(35,plain,
% 0.12/0.38 (convergent_lines(L!1, M!0)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[34, 32])).
% 0.12/0.38 tff(36,plain,
% 0.12/0.38 ((~(convergent_lines(L!1, M!0) <=> (~((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0))))))) | (~convergent_lines(L!1, M!0)) | (~((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0)))))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(37,plain,
% 0.12/0.38 ((~convergent_lines(L!1, M!0)) | (~((~unequally_directed_lines(L!1, M!0)) | (~unequally_directed_lines(L!1, reverse_line(M!0)))))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[36, 28])).
% 0.12/0.38 tff(38,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[37, 35, 32])).
% 0.12/0.38 % SZS output end Proof
%------------------------------------------------------------------------------