TSTP Solution File: LCL512+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : LCL512+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% 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 : 600s
% DateTime : Sun Jul 17 12:16:16 EDT 2022
% Result : Theorem 0.67s 1.39s
% Output : Proof 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LCL512+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 4 09:28:08 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.67/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/1.40
% 0.67/1.40 %-----------------------------------------------------
% 0.67/1.40 fof(hilbert_equivalence_1, conjecture, equivalence_1, file('/export/starexec/sandbox/benchmark/theBenchmark.p', hilbert_equivalence_1)).
% 0.67/1.40 fof(rosser_op_equiv, axiom, op_equiv, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax', rosser_op_equiv)).
% 0.67/1.40 fof(rosser_modus_ponens, axiom, modus_ponens, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax', rosser_modus_ponens)).
% 0.67/1.40 fof(rosser_kn1, axiom, kn1, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax', rosser_kn1)).
% 0.67/1.40 fof(rosser_kn2, axiom, kn2, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax', rosser_kn2)).
% 0.67/1.40 fof(op_equiv, axiom, op_equiv => ! [_50392, _50395] : equiv(_50392, _50395) = and(implies(_50392, _50395), implies(_50395, _50392)), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax', op_equiv)).
% 0.67/1.40 fof(modus_ponens, axiom, modus_ponens <=> ! [_50585, _50588] : (is_a_theorem(_50585) & is_a_theorem(implies(_50585, _50588)) => is_a_theorem(_50588)), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', modus_ponens)).
% 0.67/1.40 fof(equivalence_1, axiom, equivalence_1 <=> ! [_50790, _50793] : is_a_theorem(implies(equiv(_50790, _50793), implies(_50790, _50793))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', equivalence_1)).
% 0.67/1.40 fof(kn1, axiom, kn1 <=> ! [_50965] : is_a_theorem(implies(_50965, and(_50965, _50965))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', kn1)).
% 0.67/1.40 fof(kn2, axiom, kn2 <=> ! [_51110, _51113] : is_a_theorem(implies(and(_51110, _51113), _51110)), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', kn2)).
% 0.67/1.40
% 0.67/1.40 cnf(1, plain, [equivalence_1], clausify(hilbert_equivalence_1)).
% 0.67/1.40 cnf(2, plain, [-(is_a_theorem(_16459)), _16410 = _16459, is_a_theorem(_16410)], theory(equality)).
% 0.67/1.40 cnf(3, plain, [-(_15512 = _15512)], theory(equality)).
% 0.67/1.40 cnf(4, plain, [_15665 = _15710, -(_15710 = _15665)], theory(equality)).
% 0.67/1.40 cnf(5, plain, [-(implies(_18002, _18135) = implies(_18069, _18200)), _18002 = _18069, _18135 = _18200], theory(equality)).
% 0.67/1.40 cnf(6, plain, [-(op_equiv)], clausify(rosser_op_equiv)).
% 0.67/1.40 cnf(7, plain, [-(modus_ponens)], clausify(rosser_modus_ponens)).
% 0.67/1.40 cnf(8, plain, [-(kn1)], clausify(rosser_kn1)).
% 0.67/1.40 cnf(9, plain, [-(kn2)], clausify(rosser_kn2)).
% 0.67/1.40 cnf(10, plain, [op_equiv, -(equiv(_31825, _31876) = and(implies(_31825, _31876), implies(_31876, _31825)))], clausify(op_equiv)).
% 0.67/1.40 cnf(11, plain, [modus_ponens, -(is_a_theorem(_19748)), is_a_theorem(_19697), is_a_theorem(implies(_19697, _19748))], clausify(modus_ponens)).
% 0.67/1.40 cnf(12, plain, [-(equivalence_1), is_a_theorem(implies(equiv(27 ^ [], 28 ^ []), implies(27 ^ [], 28 ^ [])))], clausify(equivalence_1)).
% 0.67/1.40 cnf(13, plain, [kn1, -(is_a_theorem(implies(_25560, and(_25560, _25560))))], clausify(kn1)).
% 0.67/1.40 cnf(14, plain, [kn2, -(is_a_theorem(implies(and(_25829, _25873), _25829)))], clausify(kn2)).
% 0.67/1.40
% 0.67/1.40 cnf('1',plain,[equivalence_1],start(1)).
% 0.67/1.40 cnf('1.1',plain,[-(equivalence_1), is_a_theorem(implies(equiv(27 ^ [], 28 ^ []), implies(27 ^ [], 28 ^ [])))],extension(12)).
% 0.67/1.40 cnf('1.1.1',plain,[-(is_a_theorem(implies(equiv(27 ^ [], 28 ^ []), implies(27 ^ [], 28 ^ [])))), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])) = implies(equiv(27 ^ [], 28 ^ []), implies(27 ^ [], 28 ^ [])), is_a_theorem(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])))],extension(2,bind([[_16459, _16410], [implies(equiv(27 ^ [], 28 ^ []), implies(27 ^ [], 28 ^ [])), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []))]]))).
% 0.67/1.40 cnf('1.1.1.1',plain,[-(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])) = implies(equiv(27 ^ [], 28 ^ []), implies(27 ^ [], 28 ^ []))), implies(equiv(27 ^ [], 28 ^ []), implies(27 ^ [], 28 ^ [])) = implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []))],extension(4,bind([[_15665, _15710], [implies(equiv(27 ^ [], 28 ^ []), implies(27 ^ [], 28 ^ [])), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []))]]))).
% 0.67/1.40 cnf('1.1.1.1.1',plain,[-(implies(equiv(27 ^ [], 28 ^ []), implies(27 ^ [], 28 ^ [])) = implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []))), equiv(27 ^ [], 28 ^ []) = and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []) = implies(27 ^ [], 28 ^ [])],extension(5,bind([[_18002, _18069, _18135, _18200], [equiv(27 ^ [], 28 ^ []), and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []), implies(27 ^ [], 28 ^ [])]]))).
% 0.67/1.40 cnf('1.1.1.1.1.1',plain,[-(equiv(27 ^ [], 28 ^ []) = and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ []))), op_equiv],extension(10,bind([[_31876, _31825], [28 ^ [], 27 ^ []]]))).
% 0.67/1.40 cnf('1.1.1.1.1.1.1',plain,[-(op_equiv)],extension(6)).
% 0.67/1.40 cnf('1.1.1.1.1.2',plain,[-(implies(27 ^ [], 28 ^ []) = implies(27 ^ [], 28 ^ []))],extension(3,bind([[_15512], [implies(27 ^ [], 28 ^ [])]]))).
% 0.67/1.40 cnf('1.1.1.2',plain,[-(is_a_theorem(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])))), modus_ponens, is_a_theorem(and(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])))), is_a_theorem(implies(and(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []))), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []))))],extension(11,bind([[_19697, _19748], [and(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []))), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []))]]))).
% 0.67/1.40 cnf('1.1.1.2.1',plain,[-(modus_ponens)],extension(7)).
% 0.67/1.40 cnf('1.1.1.2.2',plain,[-(is_a_theorem(and(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []))))), modus_ponens, is_a_theorem(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []))), is_a_theorem(implies(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])), and(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])))))],extension(11,bind([[_19697, _19748], [implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])), and(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])))]]))).
% 0.67/1.40 cnf('1.1.1.2.2.1',plain,[-(modus_ponens)],extension(7)).
% 0.67/1.40 cnf('1.1.1.2.2.2',plain,[-(is_a_theorem(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])))), kn2],extension(14,bind([[_25873, _25829], [implies(28 ^ [], 27 ^ []), implies(27 ^ [], 28 ^ [])]]))).
% 0.67/1.40 cnf('1.1.1.2.2.2.1',plain,[-(kn2)],extension(9)).
% 0.67/1.40 cnf('1.1.1.2.2.3',plain,[-(is_a_theorem(implies(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])), and(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])))))), kn1],extension(13,bind([[_25560], [implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []))]]))).
% 0.67/1.40 cnf('1.1.1.2.2.3.1',plain,[-(kn1)],extension(8)).
% 0.67/1.40 cnf('1.1.1.2.3',plain,[-(is_a_theorem(implies(and(implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []))), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []))))), kn2],extension(14,bind([[_25873, _25829], [implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ [])), implies(and(implies(27 ^ [], 28 ^ []), implies(28 ^ [], 27 ^ [])), implies(27 ^ [], 28 ^ []))]]))).
% 0.67/1.40 cnf('1.1.1.2.3.1',plain,[-(kn2)],extension(9)).
% 0.67/1.40 %-----------------------------------------------------
% 0.67/1.41
% 0.67/1.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------