TSTP Solution File: GEO211+2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GEO211+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n003.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 20:35:43 EDT 2022
% Result : Theorem 0.22s 0.42s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO211+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Aug 31 06:56:53 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.14/0.37 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.37 Usage: tptp [options] [-file:]file
% 0.14/0.37 -h, -? prints this message.
% 0.14/0.37 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.37 -m, -model generate model.
% 0.14/0.37 -p, -proof generate proof.
% 0.14/0.37 -c, -core generate unsat core of named formulas.
% 0.14/0.37 -st, -statistics display statistics.
% 0.14/0.37 -t:timeout set timeout (in second).
% 0.14/0.37 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.37 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.37 -<param>:<value> configuration parameter and value.
% 0.14/0.37 -o:<output-file> file to place output in.
% 0.22/0.42 % SZS status Theorem
% 0.22/0.42 % SZS output start Proof
% 0.22/0.42 tff(convergent_lines_type, type, (
% 0.22/0.42 convergent_lines: ( $i * $i ) > $o)).
% 0.22/0.42 tff(tptp_fun_L_0_type, type, (
% 0.22/0.42 tptp_fun_L_0: $i)).
% 0.22/0.42 tff(unorthogonal_lines_type, type, (
% 0.22/0.42 unorthogonal_lines: ( $i * $i ) > $o)).
% 0.22/0.42 tff(1,plain,
% 0.22/0.42 ((~![L: $i] : unorthogonal_lines(L, L)) <=> (~![L: $i] : unorthogonal_lines(L, L))),
% 0.22/0.42 inference(rewrite,[status(thm)],[])).
% 0.22/0.42 tff(2,axiom,(~![L: $i] : unorthogonal_lines(L, L)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','con')).
% 0.22/0.42 tff(3,plain,
% 0.22/0.42 (~![L: $i] : unorthogonal_lines(L, L)),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.22/0.42 tff(4,plain,
% 0.22/0.42 (~![L: $i] : unorthogonal_lines(L, L)),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[3, 1])).
% 0.22/0.42 tff(5,plain,
% 0.22/0.42 (~![L: $i] : unorthogonal_lines(L, L)),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.22/0.42 tff(6,plain,
% 0.22/0.42 (~![L: $i] : unorthogonal_lines(L, L)),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.22/0.42 tff(7,plain,
% 0.22/0.42 (~![L: $i] : unorthogonal_lines(L, L)),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.22/0.42 tff(8,plain,
% 0.22/0.42 (~![L: $i] : unorthogonal_lines(L, L)),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.22/0.42 tff(9,plain,
% 0.22/0.42 (~![L: $i] : unorthogonal_lines(L, L)),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[8, 1])).
% 0.22/0.42 tff(10,plain,(
% 0.22/0.42 ~unorthogonal_lines(L!0, L!0)),
% 0.22/0.42 inference(skolemize,[status(sab)],[9])).
% 0.22/0.42 tff(11,plain,
% 0.22/0.42 (^[L: $i, M: $i] : refl((convergent_lines(L, M) | unorthogonal_lines(L, M)) <=> (convergent_lines(L, M) | unorthogonal_lines(L, M)))),
% 0.22/0.42 inference(bind,[status(th)],[])).
% 0.22/0.42 tff(12,plain,
% 0.22/0.42 (![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M)) <=> ![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))),
% 0.22/0.42 inference(quant_intro,[status(thm)],[11])).
% 0.22/0.42 tff(13,plain,
% 0.22/0.42 (![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M)) <=> ![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))),
% 0.22/0.42 inference(rewrite,[status(thm)],[])).
% 0.22/0.42 tff(14,axiom,(![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax','occu1')).
% 0.22/0.42 tff(15,plain,
% 0.22/0.42 (![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.22/0.42 tff(16,plain,(
% 0.22/0.42 ![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))),
% 0.22/0.42 inference(skolemize,[status(sab)],[15])).
% 0.22/0.42 tff(17,plain,
% 0.22/0.42 (![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.22/0.42 tff(18,plain,
% 0.22/0.42 (((~![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))) | (convergent_lines(L!0, L!0) | unorthogonal_lines(L!0, L!0))) <=> ((~![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))) | convergent_lines(L!0, L!0) | unorthogonal_lines(L!0, L!0))),
% 0.22/0.42 inference(rewrite,[status(thm)],[])).
% 0.22/0.42 tff(19,plain,
% 0.22/0.42 ((~![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))) | (convergent_lines(L!0, L!0) | unorthogonal_lines(L!0, L!0))),
% 0.22/0.42 inference(quant_inst,[status(thm)],[])).
% 0.22/0.42 tff(20,plain,
% 0.22/0.42 ((~![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))) | convergent_lines(L!0, L!0) | unorthogonal_lines(L!0, L!0)),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.22/0.42 tff(21,plain,
% 0.22/0.42 (convergent_lines(L!0, L!0)),
% 0.22/0.42 inference(unit_resolution,[status(thm)],[20, 17, 10])).
% 0.22/0.42 tff(22,plain,
% 0.22/0.42 (^[X: $i] : refl((~convergent_lines(X, X)) <=> (~convergent_lines(X, X)))),
% 0.22/0.42 inference(bind,[status(th)],[])).
% 0.22/0.42 tff(23,plain,
% 0.22/0.42 (![X: $i] : (~convergent_lines(X, X)) <=> ![X: $i] : (~convergent_lines(X, X))),
% 0.22/0.42 inference(quant_intro,[status(thm)],[22])).
% 0.22/0.42 tff(24,plain,
% 0.22/0.42 (![X: $i] : (~convergent_lines(X, X)) <=> ![X: $i] : (~convergent_lines(X, X))),
% 0.22/0.42 inference(rewrite,[status(thm)],[])).
% 0.22/0.42 tff(25,axiom,(![X: $i] : (~convergent_lines(X, X))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax','apart3')).
% 0.22/0.42 tff(26,plain,
% 0.22/0.42 (![X: $i] : (~convergent_lines(X, X))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.22/0.42 tff(27,plain,(
% 0.22/0.42 ![X: $i] : (~convergent_lines(X, X))),
% 0.22/0.42 inference(skolemize,[status(sab)],[26])).
% 0.22/0.42 tff(28,plain,
% 0.22/0.42 (![X: $i] : (~convergent_lines(X, X))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.22/0.42 tff(29,plain,
% 0.22/0.42 ((~![X: $i] : (~convergent_lines(X, X))) | (~convergent_lines(L!0, L!0))),
% 0.22/0.42 inference(quant_inst,[status(thm)],[])).
% 0.22/0.42 tff(30,plain,
% 0.22/0.42 ($false),
% 0.22/0.42 inference(unit_resolution,[status(thm)],[29, 28, 21])).
% 0.22/0.42 % SZS output end Proof
%------------------------------------------------------------------------------