%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GEO211+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.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 05:05:58 AM UTC 2025
% Result : Theorem 0.14s 0.39s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO211+2 : TPTP v9.0.0. Released v3.3.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Jun 19 14:40:41 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.39 % SZS status Theorem
% 0.14/0.39 % SZS output start Proof
% 0.14/0.39 tff(convergent_lines_type, type, (
% 0.14/0.39 convergent_lines: ( $i * $i ) > $o)).
% 0.14/0.39 tff(tptp_fun_L_0_type, type, (
% 0.14/0.39 tptp_fun_L_0: $i)).
% 0.14/0.39 tff(unorthogonal_lines_type, type, (
% 0.14/0.39 unorthogonal_lines: ( $i * $i ) > $o)).
% 0.14/0.39 tff(1,plain,
% 0.14/0.39 ((~![L: $i] : unorthogonal_lines(L, L)) <=> (~![L: $i] : unorthogonal_lines(L, L))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(2,axiom,(~![L: $i] : unorthogonal_lines(L, L)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','con')).
% 0.14/0.39 tff(3,plain,
% 0.14/0.39 (~![L: $i] : unorthogonal_lines(L, L)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.14/0.39 tff(4,plain,
% 0.14/0.39 (~![L: $i] : unorthogonal_lines(L, L)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[3, 1])).
% 0.14/0.39 tff(5,plain,
% 0.14/0.39 (~![L: $i] : unorthogonal_lines(L, L)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.14/0.39 tff(6,plain,
% 0.14/0.39 (~![L: $i] : unorthogonal_lines(L, L)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.14/0.39 tff(7,plain,(
% 0.14/0.39 ~unorthogonal_lines(L!0, L!0)),
% 0.14/0.39 inference(skolemize,[status(sab)],[6])).
% 0.14/0.39 tff(8,plain,
% 0.14/0.39 (^[L: $i, M: $i] : refl((convergent_lines(L, M) | unorthogonal_lines(L, M)) <=> (convergent_lines(L, M) | unorthogonal_lines(L, M)))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(9,plain,
% 0.14/0.39 (![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M)) <=> ![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))),
% 0.14/0.39 inference(quant_intro,[status(thm)],[8])).
% 0.14/0.39 tff(10,plain,
% 0.14/0.39 (![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M)) <=> ![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(11,axiom,(![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax','occu1')).
% 0.14/0.39 tff(12,plain,
% 0.14/0.39 (![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.14/0.39 tff(13,plain,(
% 0.14/0.39 ![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))),
% 0.14/0.39 inference(skolemize,[status(sab)],[12])).
% 0.14/0.39 tff(14,plain,
% 0.14/0.39 (![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.14/0.39 tff(15,plain,
% 0.14/0.39 (((~![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))) | (convergent_lines(L!0, L!0) | unorthogonal_lines(L!0, L!0))) <=> ((~![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))) | convergent_lines(L!0, L!0) | unorthogonal_lines(L!0, L!0))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(16,plain,
% 0.14/0.39 ((~![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))) | (convergent_lines(L!0, L!0) | unorthogonal_lines(L!0, L!0))),
% 0.14/0.39 inference(quant_inst,[status(thm)],[])).
% 0.14/0.39 tff(17,plain,
% 0.14/0.39 ((~![L: $i, M: $i] : (convergent_lines(L, M) | unorthogonal_lines(L, M))) | convergent_lines(L!0, L!0) | unorthogonal_lines(L!0, L!0)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.14/0.39 tff(18,plain,
% 0.14/0.39 (convergent_lines(L!0, L!0)),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[17, 14, 7])).
% 0.14/0.39 tff(19,plain,
% 0.14/0.39 (^[X: $i] : refl((~convergent_lines(X, X)) <=> (~convergent_lines(X, X)))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(20,plain,
% 0.14/0.39 (![X: $i] : (~convergent_lines(X, X)) <=> ![X: $i] : (~convergent_lines(X, X))),
% 0.14/0.39 inference(quant_intro,[status(thm)],[19])).
% 0.14/0.39 tff(21,plain,
% 0.14/0.39 (![X: $i] : (~convergent_lines(X, X)) <=> ![X: $i] : (~convergent_lines(X, X))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(22,axiom,(![X: $i] : (~convergent_lines(X, X))), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax','apart3')).
% 0.14/0.39 tff(23,plain,
% 0.14/0.39 (![X: $i] : (~convergent_lines(X, X))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.14/0.39 tff(24,plain,(
% 0.14/0.39 ![X: $i] : (~convergent_lines(X, X))),
% 0.14/0.39 inference(skolemize,[status(sab)],[23])).
% 0.14/0.39 tff(25,plain,
% 0.14/0.39 (![X: $i] : (~convergent_lines(X, X))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.14/0.39 tff(26,plain,
% 0.14/0.39 ((~![X: $i] : (~convergent_lines(X, X))) | (~convergent_lines(L!0, L!0))),
% 0.14/0.39 inference(quant_inst,[status(thm)],[])).
% 0.14/0.39 tff(27,plain,
% 0.14/0.39 ($false),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[26, 25, 18])).
% 0.14/0.39 % SZS output end Proof
% 0.14/0.40 % E exiting
%------------------------------------------------------------------------------