%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GEO247+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 05:06:07 AM UTC 2025
% Result : Theorem 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO247+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 14:47:18 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.38 % SZS status Theorem
% 0.20/0.38 % SZS output start Proof
% 0.20/0.38 tff(left_apart_point_type, type, (
% 0.20/0.38 left_apart_point: ( $i * $i ) > $o)).
% 0.20/0.38 tff(reverse_line_type, type, (
% 0.20/0.38 reverse_line: $i > $i)).
% 0.20/0.38 tff(tptp_fun_L_1_type, type, (
% 0.20/0.38 tptp_fun_L_1: $i)).
% 0.20/0.38 tff(tptp_fun_B_4_type, type, (
% 0.20/0.38 tptp_fun_B_4: $i)).
% 0.20/0.38 tff(tptp_fun_M_0_type, type, (
% 0.20/0.38 tptp_fun_M_0: $i)).
% 0.20/0.38 tff(tptp_fun_D_2_type, type, (
% 0.20/0.38 tptp_fun_D_2: $i)).
% 0.20/0.38 tff(tptp_fun_C_3_type, type, (
% 0.20/0.38 tptp_fun_C_3: $i)).
% 0.20/0.38 tff(tptp_fun_A_5_type, type, (
% 0.20/0.38 tptp_fun_A_5: $i)).
% 0.20/0.38 tff(convergent_lines_type, type, (
% 0.20/0.38 convergent_lines: ( $i * $i ) > $o)).
% 0.20/0.38 tff(1,plain,
% 0.20/0.38 ((~![A: $i, B: $i, C: $i, D: $i, L: $i, M: $i] : ((~(left_apart_point(A, L) & left_apart_point(A, M) & left_apart_point(B, reverse_line(L)) & left_apart_point(B, reverse_line(M)) & left_apart_point(C, L) & left_apart_point(C, reverse_line(M)) & left_apart_point(D, reverse_line(L)) & left_apart_point(D, M))) | convergent_lines(L, M))) <=> (~![A: $i, B: $i, C: $i, D: $i, L: $i, M: $i] : ((~(left_apart_point(A, L) & left_apart_point(A, M) & left_apart_point(B, reverse_line(L)) & left_apart_point(B, reverse_line(M)) & left_apart_point(C, L) & left_apart_point(C, reverse_line(M)) & left_apart_point(D, reverse_line(L)) & left_apart_point(D, M))) | convergent_lines(L, M)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(2,plain,
% 0.20/0.38 ((~![A: $i, B: $i, C: $i, D: $i, L: $i, M: $i] : ((((((((left_apart_point(A, L) & left_apart_point(A, M)) & left_apart_point(B, reverse_line(L))) & left_apart_point(B, reverse_line(M))) & left_apart_point(C, L)) & left_apart_point(C, reverse_line(M))) & left_apart_point(D, reverse_line(L))) & left_apart_point(D, M)) => convergent_lines(L, M))) <=> (~![A: $i, B: $i, C: $i, D: $i, L: $i, M: $i] : ((~(left_apart_point(A, L) & left_apart_point(A, M) & left_apart_point(B, reverse_line(L)) & left_apart_point(B, reverse_line(M)) & left_apart_point(C, L) & left_apart_point(C, reverse_line(M)) & left_apart_point(D, reverse_line(L)) & left_apart_point(D, M))) | convergent_lines(L, M)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(3,axiom,(~![A: $i, B: $i, C: $i, D: $i, L: $i, M: $i] : ((((((((left_apart_point(A, L) & left_apart_point(A, M)) & left_apart_point(B, reverse_line(L))) & left_apart_point(B, reverse_line(M))) & left_apart_point(C, L)) & left_apart_point(C, reverse_line(M))) & left_apart_point(D, reverse_line(L))) & left_apart_point(D, M)) => convergent_lines(L, M))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','con')).
% 0.20/0.38 tff(4,plain,
% 0.20/0.38 (~![A: $i, B: $i, C: $i, D: $i, L: $i, M: $i] : ((~(left_apart_point(A, L) & left_apart_point(A, M) & left_apart_point(B, reverse_line(L)) & left_apart_point(B, reverse_line(M)) & left_apart_point(C, L) & left_apart_point(C, reverse_line(M)) & left_apart_point(D, reverse_line(L)) & left_apart_point(D, M))) | convergent_lines(L, M))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.20/0.38 tff(5,plain,
% 0.20/0.38 (~![A: $i, B: $i, C: $i, D: $i, L: $i, M: $i] : ((~(left_apart_point(A, L) & left_apart_point(A, M) & left_apart_point(B, reverse_line(L)) & left_apart_point(B, reverse_line(M)) & left_apart_point(C, L) & left_apart_point(C, reverse_line(M)) & left_apart_point(D, reverse_line(L)) & left_apart_point(D, M))) | convergent_lines(L, M))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.20/0.38 tff(6,plain,
% 0.20/0.38 (~![A: $i, B: $i, C: $i, D: $i, L: $i, M: $i] : ((~(left_apart_point(A, L) & left_apart_point(A, M) & left_apart_point(B, reverse_line(L)) & left_apart_point(B, reverse_line(M)) & left_apart_point(C, L) & left_apart_point(C, reverse_line(M)) & left_apart_point(D, reverse_line(L)) & left_apart_point(D, M))) | convergent_lines(L, M))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.20/0.38 tff(7,plain,
% 0.20/0.38 (~![A: $i, B: $i, C: $i, D: $i, L: $i, M: $i] : ((~(left_apart_point(A, L) & left_apart_point(A, M) & left_apart_point(B, reverse_line(L)) & left_apart_point(B, reverse_line(M)) & left_apart_point(C, L) & left_apart_point(C, reverse_line(M)) & left_apart_point(D, reverse_line(L)) & left_apart_point(D, M))) | convergent_lines(L, M))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.20/0.39 tff(8,plain,(
% 0.20/0.39 ~((~(left_apart_point(A!5, L!1) & left_apart_point(A!5, M!0) & left_apart_point(B!4, reverse_line(L!1)) & left_apart_point(B!4, reverse_line(M!0)) & left_apart_point(C!3, L!1) & left_apart_point(C!3, reverse_line(M!0)) & left_apart_point(D!2, reverse_line(L!1)) & left_apart_point(D!2, M!0))) | convergent_lines(L!1, M!0))),
% 0.20/0.39 inference(skolemize,[status(sab)],[7])).
% 0.20/0.39 tff(9,plain,
% 0.20/0.39 (left_apart_point(A!5, L!1) & left_apart_point(A!5, M!0) & left_apart_point(B!4, reverse_line(L!1)) & left_apart_point(B!4, reverse_line(M!0)) & left_apart_point(C!3, L!1) & left_apart_point(C!3, reverse_line(M!0)) & left_apart_point(D!2, reverse_line(L!1)) & left_apart_point(D!2, M!0)),
% 0.20/0.39 inference(or_elim,[status(thm)],[8])).
% 0.20/0.39 tff(10,plain,
% 0.20/0.39 (left_apart_point(B!4, reverse_line(L!1))),
% 0.20/0.39 inference(and_elim,[status(thm)],[9])).
% 0.20/0.39 tff(11,plain,
% 0.20/0.39 ((left_apart_point(B!4, L!1) | left_apart_point(B!4, reverse_line(L!1))) | (~left_apart_point(B!4, reverse_line(L!1)))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(12,plain,
% 0.20/0.39 (left_apart_point(B!4, L!1) | left_apart_point(B!4, reverse_line(L!1))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.20/0.39 tff(13,plain,
% 0.20/0.39 (^[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)))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(14,plain,
% 0.20/0.39 (![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))))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[13])).
% 0.20/0.39 tff(15,plain,
% 0.20/0.39 (![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))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(16,axiom,(![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax','oag10')).
% 0.20/0.39 tff(17,plain,
% 0.20/0.39 (![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.20/0.39 tff(18,plain,(
% 0.20/0.39 ![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))),
% 0.20/0.39 inference(skolemize,[status(sab)],[17])).
% 0.20/0.39 tff(19,plain,
% 0.20/0.39 (![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.20/0.39 tff(20,plain,
% 0.20/0.39 ((~![A: $i, L: $i] : (~(left_apart_point(A, L) | left_apart_point(A, reverse_line(L))))) | (~(left_apart_point(B!4, L!1) | left_apart_point(B!4, reverse_line(L!1))))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(21,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[20, 19, 12])).
% 0.20/0.39 % SZS output end Proof
% 0.20/0.39 % E exiting
%------------------------------------------------------------------------------