TSTP Solution File: GEO256+3 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GEO256+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n017.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 20:36:07 EDT 2022
% Result : Theorem 1.61s 1.31s
% Output : Proof 1.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO256+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 : n017.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 : Wed Aug 31 06:36:21 EDT 2022
% 0.13/0.35 % 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.
% 1.61/1.31 % SZS status Theorem
% 1.61/1.31 % SZS output start Proof
% 1.61/1.31 tff(left_apart_point_type, type, (
% 1.61/1.31 left_apart_point: ( $i * $i ) > $o)).
% 1.61/1.31 tff(reverse_line_type, type, (
% 1.61/1.31 reverse_line: $i > $i)).
% 1.61/1.31 tff(tptp_fun_L_4_type, type, (
% 1.61/1.31 tptp_fun_L_4: $i)).
% 1.61/1.31 tff(tptp_fun_D_0_type, type, (
% 1.61/1.31 tptp_fun_D_0: $i)).
% 1.61/1.31 tff(incident_point_and_line_type, type, (
% 1.61/1.31 incident_point_and_line: ( $i * $i ) > $o)).
% 1.61/1.31 tff(tptp_fun_C_1_type, type, (
% 1.61/1.31 tptp_fun_C_1: $i)).
% 1.61/1.31 tff(distinct_points_type, type, (
% 1.61/1.31 distinct_points: ( $i * $i ) > $o)).
% 1.61/1.31 tff(tptp_fun_B_2_type, type, (
% 1.61/1.31 tptp_fun_B_2: $i)).
% 1.61/1.31 tff(tptp_fun_A_3_type, type, (
% 1.61/1.31 tptp_fun_A_3: $i)).
% 1.61/1.31 tff(before_on_line_type, type, (
% 1.61/1.31 before_on_line: ( $i * $i * $i ) > $o)).
% 1.61/1.31 tff(1,plain,
% 1.61/1.31 ((~(before_on_line(L!4, C!1, B!2) | before_on_line(L!4, A!3, C!1) | (~before_on_line(L!4, A!3, B!2)) | (~(distinct_points(A!3, C!1) & distinct_points(B!2, C!1) & incident_point_and_line(C!1, L!4) & left_apart_point(D!0, L!4))))) <=> (~(before_on_line(L!4, C!1, B!2) | before_on_line(L!4, A!3, C!1) | (~before_on_line(L!4, A!3, B!2)) | (~(distinct_points(A!3, C!1) & distinct_points(B!2, C!1) & incident_point_and_line(C!1, L!4) & left_apart_point(D!0, L!4)))))),
% 1.61/1.31 inference(rewrite,[status(thm)],[])).
% 1.61/1.31 tff(2,plain,
% 1.61/1.31 ((~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, C, B) | before_on_line(L, A, C) | (~before_on_line(L, A, B)) | (~(distinct_points(A, C) & distinct_points(B, C) & incident_point_and_line(C, L) & left_apart_point(D, L))))) <=> (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, C, B) | before_on_line(L, A, C) | (~before_on_line(L, A, B)) | (~(distinct_points(A, C) & distinct_points(B, C) & incident_point_and_line(C, L) & left_apart_point(D, L)))))),
% 1.61/1.31 inference(rewrite,[status(thm)],[])).
% 1.61/1.31 tff(3,plain,
% 1.61/1.31 ((~![L: $i, A: $i, B: $i, C: $i, D: $i] : ((((distinct_points(A, C) & distinct_points(B, C)) & incident_point_and_line(C, L)) & left_apart_point(D, L)) => (before_on_line(L, A, B) => (before_on_line(L, A, C) | before_on_line(L, C, B))))) <=> (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, C, B) | before_on_line(L, A, C) | (~before_on_line(L, A, B)) | (~(distinct_points(A, C) & distinct_points(B, C) & incident_point_and_line(C, L) & left_apart_point(D, L)))))),
% 1.61/1.31 inference(rewrite,[status(thm)],[])).
% 1.61/1.31 tff(4,axiom,(~![L: $i, A: $i, B: $i, C: $i, D: $i] : ((((distinct_points(A, C) & distinct_points(B, C)) & incident_point_and_line(C, L)) & left_apart_point(D, L)) => (before_on_line(L, A, B) => (before_on_line(L, A, C) | before_on_line(L, C, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','con')).
% 1.61/1.31 tff(5,plain,
% 1.61/1.31 (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, C, B) | before_on_line(L, A, C) | (~before_on_line(L, A, B)) | (~(distinct_points(A, C) & distinct_points(B, C) & incident_point_and_line(C, L) & left_apart_point(D, L))))),
% 1.61/1.31 inference(modus_ponens,[status(thm)],[4, 3])).
% 1.61/1.31 tff(6,plain,
% 1.61/1.31 (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, C, B) | before_on_line(L, A, C) | (~before_on_line(L, A, B)) | (~(distinct_points(A, C) & distinct_points(B, C) & incident_point_and_line(C, L) & left_apart_point(D, L))))),
% 1.61/1.31 inference(modus_ponens,[status(thm)],[5, 2])).
% 1.61/1.31 tff(7,plain,
% 1.61/1.31 (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, C, B) | before_on_line(L, A, C) | (~before_on_line(L, A, B)) | (~(distinct_points(A, C) & distinct_points(B, C) & incident_point_and_line(C, L) & left_apart_point(D, L))))),
% 1.61/1.31 inference(modus_ponens,[status(thm)],[6, 2])).
% 1.61/1.31 tff(8,plain,
% 1.61/1.31 (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, C, B) | before_on_line(L, A, C) | (~before_on_line(L, A, B)) | (~(distinct_points(A, C) & distinct_points(B, C) & incident_point_and_line(C, L) & left_apart_point(D, L))))),
% 1.61/1.31 inference(modus_ponens,[status(thm)],[7, 2])).
% 1.61/1.31 tff(9,plain,
% 1.61/1.31 (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, C, B) | before_on_line(L, A, C) | (~before_on_line(L, A, B)) | (~(distinct_points(A, C) & distinct_points(B, C) & incident_point_and_line(C, L) & left_apart_point(D, L))))),
% 1.61/1.31 inference(modus_ponens,[status(thm)],[8, 2])).
% 1.61/1.31 tff(10,plain,
% 1.61/1.31 (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, C, B) | before_on_line(L, A, C) | (~before_on_line(L, A, B)) | (~(distinct_points(A, C) & distinct_points(B, C) & incident_point_and_line(C, L) & left_apart_point(D, L))))),
% 1.61/1.31 inference(modus_ponens,[status(thm)],[9, 2])).
% 1.61/1.31 tff(11,plain,
% 1.61/1.31 (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, C, B) | before_on_line(L, A, C) | (~before_on_line(L, A, B)) | (~(distinct_points(A, C) & distinct_points(B, C) & incident_point_and_line(C, L) & left_apart_point(D, L))))),
% 1.61/1.31 inference(modus_ponens,[status(thm)],[10, 2])).
% 1.61/1.31 tff(12,plain,(
% 1.61/1.31 ~(before_on_line(L!4, C!1, B!2) | before_on_line(L!4, A!3, C!1) | (~before_on_line(L!4, A!3, B!2)) | (~(distinct_points(A!3, C!1) & distinct_points(B!2, C!1) & incident_point_and_line(C!1, L!4) & left_apart_point(D!0, L!4))))),
% 1.61/1.31 inference(skolemize,[status(sab)],[11])).
% 1.61/1.31 tff(13,plain,
% 1.61/1.31 (~(before_on_line(L!4, C!1, B!2) | before_on_line(L!4, A!3, C!1) | (~before_on_line(L!4, A!3, B!2)) | (~(distinct_points(A!3, C!1) & distinct_points(B!2, C!1) & incident_point_and_line(C!1, L!4) & left_apart_point(D!0, L!4))))),
% 1.61/1.31 inference(modus_ponens,[status(thm)],[12, 1])).
% 1.61/1.31 tff(14,plain,
% 1.61/1.31 (distinct_points(A!3, C!1) & distinct_points(B!2, C!1) & incident_point_and_line(C!1, L!4) & left_apart_point(D!0, L!4)),
% 1.61/1.31 inference(or_elim,[status(thm)],[13])).
% 1.61/1.31 tff(15,plain,
% 1.61/1.31 (left_apart_point(D!0, L!4)),
% 1.61/1.31 inference(and_elim,[status(thm)],[14])).
% 1.61/1.31 tff(16,plain,
% 1.61/1.31 ((left_apart_point(D!0, L!4) | left_apart_point(D!0, reverse_line(L!4))) | (~left_apart_point(D!0, L!4))),
% 1.61/1.31 inference(tautology,[status(thm)],[])).
% 1.61/1.31 tff(17,plain,
% 1.61/1.31 (left_apart_point(D!0, L!4) | left_apart_point(D!0, reverse_line(L!4))),
% 1.61/1.31 inference(unit_resolution,[status(thm)],[16, 15])).
% 1.61/1.31 tff(18,plain,
% 1.61/1.31 (^[A: $i, L: $i] : refl((~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L)))) <=> (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L)))))),
% 1.61/1.31 inference(bind,[status(th)],[])).
% 1.61/1.31 tff(19,plain,
% 1.61/1.31 (![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L)))) <=> ![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))),
% 1.61/1.31 inference(quant_intro,[status(thm)],[18])).
% 1.61/1.31 tff(20,plain,
% 1.61/1.31 (![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L)))) <=> ![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))),
% 1.61/1.31 inference(rewrite,[status(thm)],[])).
% 1.61/1.31 tff(21,axiom,(![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax','ax10_basics')).
% 1.61/1.31 tff(22,plain,
% 1.61/1.31 (![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))),
% 1.61/1.31 inference(modus_ponens,[status(thm)],[21, 20])).
% 1.61/1.31 tff(23,plain,(
% 1.61/1.31 ![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))),
% 1.61/1.31 inference(skolemize,[status(sab)],[22])).
% 1.61/1.31 tff(24,plain,
% 1.61/1.31 (![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))),
% 1.61/1.31 inference(modus_ponens,[status(thm)],[23, 19])).
% 1.61/1.31 tff(25,plain,
% 1.61/1.31 ((~![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))) | (~(left_apart_point(D!0, L!4) | left_apart_point(D!0, reverse_line(L!4))))),
% 1.61/1.31 inference(quant_inst,[status(thm)],[])).
% 1.61/1.31 tff(26,plain,
% 1.61/1.31 ($false),
% 1.61/1.31 inference(unit_resolution,[status(thm)],[25, 24, 17])).
% 1.61/1.31 % SZS output end Proof
%------------------------------------------------------------------------------