%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GEO257+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.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 : Sat Jun 21 05:06:10 AM UTC 2025
% Result : Theorem 0.19s 0.43s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO257+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n008.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 : Thu Jun 19 14:43:48 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 % SZS output start Proof
% 0.19/0.43 tff(left_apart_point_type, type, (
% 0.19/0.43 left_apart_point: ( $i * $i ) > $o)).
% 0.19/0.43 tff(reverse_line_type, type, (
% 0.19/0.43 reverse_line: $i > $i)).
% 0.19/0.43 tff(tptp_fun_L_4_type, type, (
% 0.19/0.43 tptp_fun_L_4: $i)).
% 0.19/0.43 tff(tptp_fun_D_0_type, type, (
% 0.19/0.43 tptp_fun_D_0: $i)).
% 0.19/0.43 tff(apart_point_and_line_type, type, (
% 0.19/0.43 apart_point_and_line: ( $i * $i ) > $o)).
% 0.19/0.43 tff(tptp_fun_C_1_type, type, (
% 0.19/0.43 tptp_fun_C_1: $i)).
% 0.19/0.43 tff(distinct_points_type, type, (
% 0.19/0.43 distinct_points: ( $i * $i ) > $o)).
% 0.19/0.43 tff(tptp_fun_B_2_type, type, (
% 0.19/0.43 tptp_fun_B_2: $i)).
% 0.19/0.43 tff(tptp_fun_A_3_type, type, (
% 0.19/0.43 tptp_fun_A_3: $i)).
% 0.19/0.43 tff(before_on_line_type, type, (
% 0.19/0.43 before_on_line: ( $i * $i * $i ) > $o)).
% 0.19/0.43 tff(1,plain,
% 0.19/0.43 ((~(before_on_line(L!4, A!3, C!1) | (~(before_on_line(L!4, A!3, B!2) & before_on_line(L!4, B!2, C!1))) | (~(distinct_points(A!3, C!1) & distinct_points(B!2, C!1) & (~apart_point_and_line(C!1, L!4)) & left_apart_point(D!0, L!4))))) <=> (~(before_on_line(L!4, A!3, C!1) | (~(before_on_line(L!4, A!3, B!2) & before_on_line(L!4, B!2, C!1))) | (~(distinct_points(A!3, C!1) & distinct_points(B!2, C!1) & (~apart_point_and_line(C!1, L!4)) & left_apart_point(D!0, L!4)))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(2,plain,
% 0.19/0.43 ((~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, A, C) | (~(before_on_line(L, A, B) & before_on_line(L, B, C))) | (~(distinct_points(A, C) & distinct_points(B, C) & (~apart_point_and_line(C, L)) & left_apart_point(D, L))))) <=> (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, A, C) | (~(before_on_line(L, A, B) & before_on_line(L, B, C))) | (~(distinct_points(A, C) & distinct_points(B, C) & (~apart_point_and_line(C, L)) & left_apart_point(D, L)))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(3,plain,
% 0.19/0.43 ((~![L: $i, A: $i, B: $i, C: $i, D: $i] : ((((distinct_points(A, C) & distinct_points(B, C)) & (~apart_point_and_line(C, L))) & left_apart_point(D, L)) => ((before_on_line(L, A, B) & before_on_line(L, B, C)) => before_on_line(L, A, C)))) <=> (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, A, C) | (~(before_on_line(L, A, B) & before_on_line(L, B, C))) | (~(distinct_points(A, C) & distinct_points(B, C) & (~apart_point_and_line(C, L)) & left_apart_point(D, L)))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(4,axiom,(~![L: $i, A: $i, B: $i, C: $i, D: $i] : ((((distinct_points(A, C) & distinct_points(B, C)) & (~apart_point_and_line(C, L))) & left_apart_point(D, L)) => ((before_on_line(L, A, B) & before_on_line(L, B, C)) => before_on_line(L, A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','con')).
% 0.19/0.43 tff(5,plain,
% 0.19/0.43 (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, A, C) | (~(before_on_line(L, A, B) & before_on_line(L, B, C))) | (~(distinct_points(A, C) & distinct_points(B, C) & (~apart_point_and_line(C, L)) & left_apart_point(D, L))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.19/0.43 tff(6,plain,
% 0.19/0.43 (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, A, C) | (~(before_on_line(L, A, B) & before_on_line(L, B, C))) | (~(distinct_points(A, C) & distinct_points(B, C) & (~apart_point_and_line(C, L)) & left_apart_point(D, L))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[5, 2])).
% 0.19/0.43 tff(7,plain,
% 0.19/0.43 (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, A, C) | (~(before_on_line(L, A, B) & before_on_line(L, B, C))) | (~(distinct_points(A, C) & distinct_points(B, C) & (~apart_point_and_line(C, L)) & left_apart_point(D, L))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.19/0.43 tff(8,plain,
% 0.19/0.43 (~![L: $i, A: $i, B: $i, C: $i, D: $i] : (before_on_line(L, A, C) | (~(before_on_line(L, A, B) & before_on_line(L, B, C))) | (~(distinct_points(A, C) & distinct_points(B, C) & (~apart_point_and_line(C, L)) & left_apart_point(D, L))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[7, 2])).
% 0.19/0.43 tff(9,plain,(
% 0.19/0.43 ~(before_on_line(L!4, A!3, C!1) | (~(before_on_line(L!4, A!3, B!2) & before_on_line(L!4, B!2, C!1))) | (~(distinct_points(A!3, C!1) & distinct_points(B!2, C!1) & (~apart_point_and_line(C!1, L!4)) & left_apart_point(D!0, L!4))))),
% 0.19/0.43 inference(skolemize,[status(sab)],[8])).
% 0.19/0.44 tff(10,plain,
% 0.19/0.44 (~(before_on_line(L!4, A!3, C!1) | (~(before_on_line(L!4, A!3, B!2) & before_on_line(L!4, B!2, C!1))) | (~(distinct_points(A!3, C!1) & distinct_points(B!2, C!1) & (~apart_point_and_line(C!1, L!4)) & left_apart_point(D!0, L!4))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[9, 1])).
% 0.19/0.44 tff(11,plain,
% 0.19/0.44 (distinct_points(A!3, C!1) & distinct_points(B!2, C!1) & (~apart_point_and_line(C!1, L!4)) & left_apart_point(D!0, L!4)),
% 0.19/0.44 inference(or_elim,[status(thm)],[10])).
% 0.19/0.44 tff(12,plain,
% 0.19/0.44 (left_apart_point(D!0, L!4)),
% 0.19/0.44 inference(and_elim,[status(thm)],[11])).
% 0.19/0.44 tff(13,plain,
% 0.19/0.44 ((left_apart_point(D!0, L!4) | left_apart_point(D!0, reverse_line(L!4))) | (~left_apart_point(D!0, L!4))),
% 0.19/0.44 inference(tautology,[status(thm)],[])).
% 0.19/0.44 tff(14,plain,
% 0.19/0.44 (left_apart_point(D!0, L!4) | left_apart_point(D!0, reverse_line(L!4))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[13, 12])).
% 0.19/0.44 tff(15,plain,
% 0.19/0.44 (^[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)))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(16,plain,
% 0.19/0.44 (![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))))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[15])).
% 0.19/0.44 tff(17,plain,
% 0.19/0.44 (![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))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(18,axiom,(![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax','oag10')).
% 0.19/0.44 tff(19,plain,
% 0.19/0.44 (![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.19/0.44 tff(20,plain,(
% 0.19/0.44 ![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))),
% 0.19/0.44 inference(skolemize,[status(sab)],[19])).
% 0.19/0.44 tff(21,plain,
% 0.19/0.44 (![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.19/0.44 tff(22,plain,
% 0.19/0.44 ((~![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))) | (~(left_apart_point(D!0, L!4) | left_apart_point(D!0, reverse_line(L!4))))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(23,plain,
% 0.19/0.44 ($false),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[22, 21, 14])).
% 0.19/0.44 % SZS output end Proof
% 0.19/0.44 % E exiting
%------------------------------------------------------------------------------