TSTP Solution File: GEO241+3 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GEO241+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 20:36:00 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO241+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 31 07:05:34 EDT 2022
% 0.12/0.33 % 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.
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 % SZS output start Proof
% 0.19/0.48 tff(left_convergent_lines_type, type, (
% 0.19/0.48 left_convergent_lines: ( $i * $i ) > $o)).
% 0.19/0.48 tff(reverse_line_type, type, (
% 0.19/0.48 reverse_line: $i > $i)).
% 0.19/0.48 tff(line_connecting_type, type, (
% 0.19/0.48 line_connecting: ( $i * $i ) > $i)).
% 0.19/0.48 tff(tptp_fun_B_1_type, type, (
% 0.19/0.48 tptp_fun_B_1: $i)).
% 0.19/0.48 tff(tptp_fun_A_2_type, type, (
% 0.19/0.48 tptp_fun_A_2: $i)).
% 0.19/0.48 tff(tptp_fun_L_0_type, type, (
% 0.19/0.48 tptp_fun_L_0: $i)).
% 0.19/0.48 tff(distinct_points_type, type, (
% 0.19/0.48 distinct_points: ( $i * $i ) > $o)).
% 0.19/0.48 tff(incident_point_and_line_type, type, (
% 0.19/0.48 incident_point_and_line: ( $i * $i ) > $o)).
% 0.19/0.48 tff(left_apart_point_type, type, (
% 0.19/0.48 left_apart_point: ( $i * $i ) > $o)).
% 0.19/0.48 tff(1,plain,
% 0.19/0.48 ((~![A: $i, B: $i, L: $i] : ((~(incident_point_and_line(A, L) & distinct_points(A, B) & left_convergent_lines(L, line_connecting(A, B)))) | left_apart_point(B, L))) <=> (~![A: $i, B: $i, L: $i] : ((~(incident_point_and_line(A, L) & distinct_points(A, B) & left_convergent_lines(L, line_connecting(A, B)))) | left_apart_point(B, L)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(2,plain,
% 0.19/0.48 ((~![A: $i, B: $i, L: $i] : (((incident_point_and_line(A, L) & distinct_points(A, B)) & left_convergent_lines(L, line_connecting(A, B))) => left_apart_point(B, L))) <=> (~![A: $i, B: $i, L: $i] : ((~(incident_point_and_line(A, L) & distinct_points(A, B) & left_convergent_lines(L, line_connecting(A, B)))) | left_apart_point(B, L)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(3,axiom,(~![A: $i, B: $i, L: $i] : (((incident_point_and_line(A, L) & distinct_points(A, B)) & left_convergent_lines(L, line_connecting(A, B))) => left_apart_point(B, L))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','con')).
% 0.19/0.48 tff(4,plain,
% 0.19/0.48 (~![A: $i, B: $i, L: $i] : ((~(incident_point_and_line(A, L) & distinct_points(A, B) & left_convergent_lines(L, line_connecting(A, B)))) | left_apart_point(B, L))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.19/0.48 tff(5,plain,
% 0.19/0.48 (~![A: $i, B: $i, L: $i] : ((~(incident_point_and_line(A, L) & distinct_points(A, B) & left_convergent_lines(L, line_connecting(A, B)))) | left_apart_point(B, L))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.19/0.48 tff(6,plain,
% 0.19/0.48 (~![A: $i, B: $i, L: $i] : ((~(incident_point_and_line(A, L) & distinct_points(A, B) & left_convergent_lines(L, line_connecting(A, B)))) | left_apart_point(B, L))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.19/0.48 tff(7,plain,
% 0.19/0.48 (~![A: $i, B: $i, L: $i] : ((~(incident_point_and_line(A, L) & distinct_points(A, B) & left_convergent_lines(L, line_connecting(A, B)))) | left_apart_point(B, L))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.19/0.48 tff(8,plain,
% 0.19/0.48 (~![A: $i, B: $i, L: $i] : ((~(incident_point_and_line(A, L) & distinct_points(A, B) & left_convergent_lines(L, line_connecting(A, B)))) | left_apart_point(B, L))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.19/0.48 tff(9,plain,
% 0.19/0.48 (~![A: $i, B: $i, L: $i] : ((~(incident_point_and_line(A, L) & distinct_points(A, B) & left_convergent_lines(L, line_connecting(A, B)))) | left_apart_point(B, L))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[8, 1])).
% 0.19/0.48 tff(10,plain,
% 0.19/0.48 (~![A: $i, B: $i, L: $i] : ((~(incident_point_and_line(A, L) & distinct_points(A, B) & left_convergent_lines(L, line_connecting(A, B)))) | left_apart_point(B, L))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[9, 1])).
% 0.19/0.48 tff(11,plain,(
% 0.19/0.48 ~((~(incident_point_and_line(A!2, L!0) & distinct_points(A!2, B!1) & left_convergent_lines(L!0, line_connecting(A!2, B!1)))) | left_apart_point(B!1, L!0))),
% 0.19/0.48 inference(skolemize,[status(sab)],[10])).
% 0.19/0.48 tff(12,plain,
% 0.19/0.48 (incident_point_and_line(A!2, L!0) & distinct_points(A!2, B!1) & left_convergent_lines(L!0, line_connecting(A!2, B!1))),
% 0.19/0.48 inference(or_elim,[status(thm)],[11])).
% 0.19/0.48 tff(13,plain,
% 0.19/0.48 (left_convergent_lines(L!0, line_connecting(A!2, B!1))),
% 0.19/0.48 inference(and_elim,[status(thm)],[12])).
% 0.19/0.48 tff(14,plain,
% 0.19/0.48 ((left_convergent_lines(L!0, line_connecting(A!2, B!1)) | left_convergent_lines(L!0, reverse_line(line_connecting(A!2, B!1)))) | (~left_convergent_lines(L!0, line_connecting(A!2, B!1)))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(15,plain,
% 0.19/0.48 (left_convergent_lines(L!0, line_connecting(A!2, B!1)) | left_convergent_lines(L!0, reverse_line(line_connecting(A!2, B!1)))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.19/0.48 tff(16,plain,
% 0.19/0.48 (^[L: $i, M: $i] : refl((~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M)))) <=> (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M)))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(17,plain,
% 0.19/0.48 (![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M)))) <=> ![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[16])).
% 0.19/0.48 tff(18,plain,
% 0.19/0.48 (![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M)))) <=> ![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(19,axiom,(![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax','ax11_basics')).
% 0.19/0.48 tff(20,plain,
% 0.19/0.48 (![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.19/0.48 tff(21,plain,(
% 0.19/0.48 ![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))),
% 0.19/0.48 inference(skolemize,[status(sab)],[20])).
% 0.19/0.48 tff(22,plain,
% 0.19/0.48 (![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.19/0.48 tff(23,plain,
% 0.19/0.48 ((~![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))) | (~(left_convergent_lines(L!0, line_connecting(A!2, B!1)) | left_convergent_lines(L!0, reverse_line(line_connecting(A!2, B!1)))))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(24,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[23, 22, 15])).
% 0.19/0.48 % SZS output end Proof
%------------------------------------------------------------------------------