%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GEO237+3 : TPTP v9.0.0. Released v4.0.0.
% 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 05:06:05 AM UTC 2025
% Result : Theorem 0.18s 0.37s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO237+3 : TPTP v9.0.0. Released v4.0.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 19 14:43:18 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.18/0.37 % SZS status Theorem
% 0.18/0.37 % SZS output start Proof
% 0.18/0.37 tff(right_apart_point_type, type, (
% 0.18/0.37 right_apart_point: ( $i * $i ) > $o)).
% 0.18/0.37 tff(tptp_fun_L_0_type, type, (
% 0.18/0.37 tptp_fun_L_0: $i)).
% 0.18/0.37 tff(tptp_fun_B_2_type, type, (
% 0.18/0.37 tptp_fun_B_2: $i)).
% 0.18/0.37 tff(left_apart_point_type, type, (
% 0.18/0.37 left_apart_point: ( $i * $i ) > $o)).
% 0.18/0.37 tff(tptp_fun_A_3_type, type, (
% 0.18/0.37 tptp_fun_A_3: $i)).
% 0.18/0.37 tff(tptp_fun_C_1_type, type, (
% 0.18/0.37 tptp_fun_C_1: $i)).
% 0.18/0.37 tff(divides_points_type, type, (
% 0.18/0.37 divides_points: ( $i * $i * $i ) > $o)).
% 0.18/0.37 tff(apart_point_and_line_type, type, (
% 0.18/0.37 apart_point_and_line: ( $i * $i ) > $o)).
% 0.18/0.37 tff(1,assumption,(right_apart_point(C!1, L!0)), introduced(assumption)).
% 0.18/0.37 tff(2,plain,
% 0.18/0.37 (^[A: $i, B: $i, L: $i] : refl((divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L)))))) <=> (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L)))))))),
% 0.18/0.37 inference(bind,[status(th)],[])).
% 0.18/0.37 tff(3,plain,
% 0.18/0.37 (![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L)))))) <=> ![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L))))))),
% 0.18/0.37 inference(quant_intro,[status(thm)],[2])).
% 0.18/0.37 tff(4,plain,
% 0.18/0.37 (^[A: $i, B: $i, L: $i] : rewrite((divides_points(L, A, B) <=> ((left_apart_point(A, L) & right_apart_point(B, L)) | (right_apart_point(A, L) & left_apart_point(B, L)))) <=> (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L)))))))),
% 0.18/0.37 inference(bind,[status(th)],[])).
% 0.18/0.37 tff(5,plain,
% 0.18/0.37 (![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((left_apart_point(A, L) & right_apart_point(B, L)) | (right_apart_point(A, L) & left_apart_point(B, L)))) <=> ![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L))))))),
% 0.18/0.37 inference(quant_intro,[status(thm)],[4])).
% 0.18/0.37 tff(6,plain,
% 0.18/0.37 (![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((left_apart_point(A, L) & right_apart_point(B, L)) | (right_apart_point(A, L) & left_apart_point(B, L)))) <=> ![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((left_apart_point(A, L) & right_apart_point(B, L)) | (right_apart_point(A, L) & left_apart_point(B, L))))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(7,axiom,(![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((left_apart_point(A, L) & right_apart_point(B, L)) | (right_apart_point(A, L) & left_apart_point(B, L))))), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax','a8_defns')).
% 0.18/0.37 tff(8,plain,
% 0.18/0.37 (![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((left_apart_point(A, L) & right_apart_point(B, L)) | (right_apart_point(A, L) & left_apart_point(B, L))))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.18/0.37 tff(9,plain,(
% 0.18/0.37 ![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((left_apart_point(A, L) & right_apart_point(B, L)) | (right_apart_point(A, L) & left_apart_point(B, L))))),
% 0.18/0.37 inference(skolemize,[status(sab)],[8])).
% 0.18/0.37 tff(10,plain,
% 0.18/0.37 (![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L))))))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.18/0.37 tff(11,plain,
% 0.18/0.37 (![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L))))))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.18/0.37 tff(12,plain,
% 0.18/0.37 (((~![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L))))))) | (divides_points(L!0, B!2, C!1) <=> ((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0))))))) <=> ((~![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L))))))) | (divides_points(L!0, B!2, C!1) <=> ((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0)))))))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(13,plain,
% 0.18/0.37 ((divides_points(L!0, B!2, C!1) <=> ((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~right_apart_point(B!2, L!0)) | (~left_apart_point(C!1, L!0)))))) <=> (divides_points(L!0, B!2, C!1) <=> ((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0))))))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(14,plain,
% 0.18/0.37 (((~![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L))))))) | (divides_points(L!0, B!2, C!1) <=> ((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~right_apart_point(B!2, L!0)) | (~left_apart_point(C!1, L!0))))))) <=> ((~![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L))))))) | (divides_points(L!0, B!2, C!1) <=> ((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0)))))))),
% 0.18/0.37 inference(monotonicity,[status(thm)],[13])).
% 0.18/0.37 tff(15,plain,
% 0.18/0.37 (((~![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L))))))) | (divides_points(L!0, B!2, C!1) <=> ((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~right_apart_point(B!2, L!0)) | (~left_apart_point(C!1, L!0))))))) <=> ((~![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L))))))) | (divides_points(L!0, B!2, C!1) <=> ((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0)))))))),
% 0.18/0.37 inference(transitivity,[status(thm)],[14, 12])).
% 0.18/0.37 tff(16,plain,
% 0.18/0.37 ((~![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L))))))) | (divides_points(L!0, B!2, C!1) <=> ((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~right_apart_point(B!2, L!0)) | (~left_apart_point(C!1, L!0))))))),
% 0.18/0.37 inference(quant_inst,[status(thm)],[])).
% 0.18/0.37 tff(17,plain,
% 0.18/0.37 ((~![A: $i, B: $i, L: $i] : (divides_points(L, A, B) <=> ((~((~left_apart_point(A, L)) | (~right_apart_point(B, L)))) | (~((~right_apart_point(A, L)) | (~left_apart_point(B, L))))))) | (divides_points(L!0, B!2, C!1) <=> ((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0))))))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.18/0.37 tff(18,plain,
% 0.18/0.37 (divides_points(L!0, B!2, C!1) <=> ((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0)))))),
% 0.18/0.37 inference(unit_resolution,[status(thm)],[17, 11])).
% 0.18/0.37 tff(19,plain,
% 0.18/0.37 ((~(divides_points(L!0, B!2, C!1) | divides_points(L!0, A!3, C!1) | (~divides_points(L!0, A!3, B!2)) | (~apart_point_and_line(C!1, L!0)))) <=> (~(divides_points(L!0, B!2, C!1) | divides_points(L!0, A!3, C!1) | (~divides_points(L!0, A!3, B!2)) | (~apart_point_and_line(C!1, L!0))))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(20,plain,
% 0.18/0.37 ((~![A: $i, B: $i, C: $i, L: $i] : (divides_points(L, B, C) | divides_points(L, A, C) | (~divides_points(L, A, B)) | (~apart_point_and_line(C, L)))) <=> (~![A: $i, B: $i, C: $i, L: $i] : (divides_points(L, B, C) | divides_points(L, A, C) | (~divides_points(L, A, B)) | (~apart_point_and_line(C, L))))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(21,plain,
% 0.18/0.37 ((~![A: $i, B: $i, C: $i, L: $i] : (apart_point_and_line(C, L) => (divides_points(L, A, B) => (divides_points(L, A, C) | divides_points(L, B, C))))) <=> (~![A: $i, B: $i, C: $i, L: $i] : (divides_points(L, B, C) | divides_points(L, A, C) | (~divides_points(L, A, B)) | (~apart_point_and_line(C, L))))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(22,axiom,(~![A: $i, B: $i, C: $i, L: $i] : (apart_point_and_line(C, L) => (divides_points(L, A, B) => (divides_points(L, A, C) | divides_points(L, B, C))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','con')).
% 0.18/0.37 tff(23,plain,
% 0.18/0.37 (~![A: $i, B: $i, C: $i, L: $i] : (divides_points(L, B, C) | divides_points(L, A, C) | (~divides_points(L, A, B)) | (~apart_point_and_line(C, L)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.18/0.38 tff(24,plain,
% 0.18/0.38 (~![A: $i, B: $i, C: $i, L: $i] : (divides_points(L, B, C) | divides_points(L, A, C) | (~divides_points(L, A, B)) | (~apart_point_and_line(C, L)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[23, 20])).
% 0.18/0.38 tff(25,plain,
% 0.18/0.38 (~![A: $i, B: $i, C: $i, L: $i] : (divides_points(L, B, C) | divides_points(L, A, C) | (~divides_points(L, A, B)) | (~apart_point_and_line(C, L)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.18/0.38 tff(26,plain,
% 0.18/0.38 (~![A: $i, B: $i, C: $i, L: $i] : (divides_points(L, B, C) | divides_points(L, A, C) | (~divides_points(L, A, B)) | (~apart_point_and_line(C, L)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[25, 20])).
% 0.18/0.38 tff(27,plain,(
% 0.18/0.38 ~(divides_points(L!0, B!2, C!1) | divides_points(L!0, A!3, C!1) | (~divides_points(L!0, A!3, B!2)) | (~apart_point_and_line(C!1, L!0)))),
% 0.18/0.38 inference(skolemize,[status(sab)],[26])).
% 0.18/0.38 tff(28,plain,
% 0.18/0.38 (~(divides_points(L!0, B!2, C!1) | divides_points(L!0, A!3, C!1) | (~divides_points(L!0, A!3, B!2)) | (~apart_point_and_line(C!1, L!0)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[27, 19])).
% 0.18/0.38 tff(29,plain,
% 0.18/0.38 (~divides_points(L!0, B!2, C!1)),
% 0.18/0.38 inference(or_elim,[status(thm)],[28])).
% 0.18/0.38 tff(30,plain,
% 0.18/0.38 ((~(divides_points(L!0, B!2, C!1) <=> ((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0))))))) | divides_points(L!0, B!2, C!1) | (~((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0))))))),
% 0.18/0.38 inference(tautology,[status(thm)],[])).
% 0.18/0.38 tff(31,plain,
% 0.18/0.38 ((~(divides_points(L!0, B!2, C!1) <=> ((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0))))))) | (~((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0))))))),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[30, 29])).
% 0.18/0.38 tff(32,plain,
% 0.18/0.38 (~((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0)))))),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[31, 18])).
% 0.18/0.38 tff(33,plain,
% 0.18/0.38 (((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0))))) | ((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))),
% 0.18/0.38 inference(tautology,[status(thm)],[])).
% 0.18/0.38 tff(34,plain,
% 0.18/0.38 ((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0))),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[33, 32])).
% 0.18/0.38 tff(35,plain,
% 0.18/0.38 ((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0))),
% 0.18/0.38 inference(tautology,[status(thm)],[])).
% 0.18/0.38 tff(36,plain,
% 0.18/0.38 ((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0))),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[35, 34])).
% 0.18/0.38 tff(37,plain,
% 0.18/0.38 (~left_apart_point(B!2, L!0)),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[36, 1])).
% 0.18/0.38 tff(38,plain,
% 0.18/0.38 (((~left_apart_point(B!2, L!0)) | (~right_apart_point(A!3, L!0))) | left_apart_point(B!2, L!0)),
% 0.18/0.38 inference(tautology,[status(thm)],[])).
% 0.18/0.38 tff(39,plain,
% 0.18/0.38 ((~left_apart_point(B!2, L!0)) | (~right_apart_point(A!3, L!0))),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[38, 37])).
% 0.18/0.38 tff(40,plain,
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% 0.18/0.38 inference(rewrite,[status(thm)],[])).
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% 0.18/0.38 inference(monotonicity,[status(thm)],[41])).
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% 0.18/0.38 inference(transitivity,[status(thm)],[42, 40])).
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% 0.18/0.38 inference(quant_inst,[status(thm)],[])).
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% 0.18/0.38 inference(unit_resolution,[status(thm)],[48, 47])).
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% 0.18/0.38 inference(tautology,[status(thm)],[])).
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% 0.18/0.38 inference(unit_resolution,[status(thm)],[56, 55])).
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% 0.18/0.38 inference(monotonicity,[status(thm)],[59])).
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% 0.18/0.39 inference(or_elim,[status(thm)],[28])).
% 0.18/0.39 tff(83,plain,
% 0.18/0.39 ((~(apart_point_and_line(C!1, L!0) <=> (left_apart_point(C!1, L!0) | right_apart_point(C!1, L!0)))) | (~apart_point_and_line(C!1, L!0)) | (left_apart_point(C!1, L!0) | right_apart_point(C!1, L!0))),
% 0.18/0.39 inference(tautology,[status(thm)],[])).
% 0.18/0.39 tff(84,plain,
% 0.18/0.39 ((~(apart_point_and_line(C!1, L!0) <=> (left_apart_point(C!1, L!0) | right_apart_point(C!1, L!0)))) | (left_apart_point(C!1, L!0) | right_apart_point(C!1, L!0))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[83, 82])).
% 0.18/0.39 tff(85,plain,
% 0.18/0.39 (left_apart_point(C!1, L!0) | right_apart_point(C!1, L!0)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[84, 81])).
% 0.18/0.39 tff(86,plain,
% 0.18/0.39 ((~(left_apart_point(C!1, L!0) | right_apart_point(C!1, L!0))) | left_apart_point(C!1, L!0) | right_apart_point(C!1, L!0)),
% 0.18/0.39 inference(tautology,[status(thm)],[])).
% 0.18/0.39 tff(87,plain,
% 0.18/0.39 (left_apart_point(C!1, L!0) | right_apart_point(C!1, L!0)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[86, 85])).
% 0.18/0.39 tff(88,plain,
% 0.18/0.39 (left_apart_point(C!1, L!0)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[87, 72])).
% 0.18/0.39 tff(89,plain,
% 0.18/0.39 (((~((~left_apart_point(B!2, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0))))) | ((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0)))),
% 0.18/0.39 inference(tautology,[status(thm)],[])).
% 0.18/0.39 tff(90,plain,
% 0.18/0.39 ((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[89, 32])).
% 0.18/0.39 tff(91,plain,
% 0.18/0.39 ((~((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0)))) | (~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0))),
% 0.18/0.39 inference(tautology,[status(thm)],[])).
% 0.18/0.39 tff(92,plain,
% 0.18/0.39 ((~left_apart_point(C!1, L!0)) | (~right_apart_point(B!2, L!0))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[91, 90])).
% 0.18/0.39 tff(93,plain,
% 0.18/0.39 (~right_apart_point(B!2, L!0)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[92, 88])).
% 0.18/0.39 tff(94,plain,
% 0.18/0.39 (((~left_apart_point(A!3, L!0)) | (~right_apart_point(B!2, L!0))) | right_apart_point(B!2, L!0)),
% 0.18/0.39 inference(tautology,[status(thm)],[])).
% 0.18/0.39 tff(95,plain,
% 0.18/0.39 ((~left_apart_point(A!3, L!0)) | (~right_apart_point(B!2, L!0))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[94, 93])).
% 0.18/0.39 tff(96,plain,
% 0.18/0.39 (((~((~left_apart_point(A!3, L!0)) | (~right_apart_point(C!1, L!0)))) | (~((~left_apart_point(C!1, L!0)) | (~right_apart_point(A!3, L!0))))) | ((~left_apart_point(C!1, L!0)) | (~right_apart_point(A!3, L!0)))),
% 0.18/0.39 inference(tautology,[status(thm)],[])).
% 0.18/0.39 tff(97,plain,
% 0.18/0.39 ((~left_apart_point(C!1, L!0)) | (~right_apart_point(A!3, L!0))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[96, 50])).
% 0.18/0.39 tff(98,plain,
% 0.18/0.39 ((~((~left_apart_point(C!1, L!0)) | (~right_apart_point(A!3, L!0)))) | (~left_apart_point(C!1, L!0)) | (~right_apart_point(A!3, L!0))),
% 0.18/0.39 inference(tautology,[status(thm)],[])).
% 0.18/0.39 tff(99,plain,
% 0.18/0.39 ((~left_apart_point(C!1, L!0)) | (~right_apart_point(A!3, L!0))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[98, 97])).
% 0.18/0.39 tff(100,plain,
% 0.18/0.39 (~right_apart_point(A!3, L!0)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[99, 88])).
% 0.18/0.39 tff(101,plain,
% 0.18/0.39 (((~left_apart_point(B!2, L!0)) | (~right_apart_point(A!3, L!0))) | right_apart_point(A!3, L!0)),
% 0.18/0.39 inference(tautology,[status(thm)],[])).
% 0.18/0.39 tff(102,plain,
% 0.18/0.39 ((~left_apart_point(B!2, L!0)) | (~right_apart_point(A!3, L!0))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[101, 100])).
% 0.18/0.39 tff(103,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[70, 102, 95])).
% 0.18/0.39 % SZS output end Proof
% 0.18/0.39 % E exiting
%------------------------------------------------------------------------------