TSTP Solution File: LCL469+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : LCL469+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 12:16:04 EDT 2022
% Result : Theorem 0.54s 1.45s
% Output : Proof 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : LCL469+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.15 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.37 % DateTime : Mon Jul 4 02:02:31 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.54/1.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/1.46 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/1.47
% 0.54/1.47 %-----------------------------------------------------
% 0.54/1.47 fof(hilbert_or_1, conjecture, or_1, file('/export/starexec/sandbox/benchmark/theBenchmark.p', hilbert_or_1)).
% 0.54/1.47 fof(luka_op_or, axiom, op_or, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+3.ax', luka_op_or)).
% 0.54/1.47 fof(luka_cn2, axiom, cn2, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+3.ax', luka_cn2)).
% 0.54/1.47 fof(hilbert_op_implies_and, axiom, op_implies_and, file('/export/starexec/sandbox/benchmark/theBenchmark.p', hilbert_op_implies_and)).
% 0.54/1.47 fof(op_or, axiom, op_or => ! [_50150, _50153] : or(_50150, _50153) = (not and(not _50150, not _50153)), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax', op_or)).
% 0.54/1.47 fof(op_implies_and, axiom, op_implies_and => ! [_50336, _50339] : implies(_50336, _50339) = (not and(_50336, not _50339)), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax', op_implies_and)).
% 0.54/1.47 fof(or_1, axiom, or_1 <=> ! [_50536, _50539] : is_a_theorem(implies(_50536, or(_50536, _50539))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', or_1)).
% 0.54/1.47 fof(cn2, axiom, cn2 <=> ! [_50709, _50712] : is_a_theorem(implies(_50709, implies(not _50709, _50712))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', cn2)).
% 0.54/1.47
% 0.54/1.47 cnf(1, plain, [or_1], clausify(hilbert_or_1)).
% 0.54/1.47 cnf(2, plain, [-(is_a_theorem(_16459)), _16410 = _16459, is_a_theorem(_16410)], theory(equality)).
% 0.54/1.47 cnf(3, plain, [-(_15512 = _15512)], theory(equality)).
% 0.54/1.47 cnf(4, plain, [_15665 = _15710, -(_15710 = _15665)], theory(equality)).
% 0.54/1.47 cnf(5, plain, [-(implies(_18002, _18135) = implies(_18069, _18200)), _18002 = _18069, _18135 = _18200], theory(equality)).
% 0.54/1.47 cnf(6, plain, [-(op_or)], clausify(luka_op_or)).
% 0.54/1.47 cnf(7, plain, [-(cn2)], clausify(luka_cn2)).
% 0.54/1.47 cnf(8, plain, [-(op_implies_and)], clausify(hilbert_op_implies_and)).
% 0.54/1.47 cnf(9, plain, [op_or, -(or(_30267, _30318) = (not and(not _30267, not _30318)))], clausify(op_or)).
% 0.54/1.47 cnf(10, plain, [op_implies_and, -(implies(_31081, _31130) = (not and(_31081, not _31130)))], clausify(op_implies_and)).
% 0.54/1.47 cnf(11, plain, [-(or_1), is_a_theorem(implies(20 ^ [], or(20 ^ [], 21 ^ [])))], clausify(or_1)).
% 0.54/1.47 cnf(12, plain, [cn2, -(is_a_theorem(implies(_27249, implies(not _27249, _27295))))], clausify(cn2)).
% 0.54/1.47
% 0.54/1.47 cnf('1',plain,[or_1],start(1)).
% 0.54/1.47 cnf('1.1',plain,[-(or_1), is_a_theorem(implies(20 ^ [], or(20 ^ [], 21 ^ [])))],extension(11)).
% 0.54/1.47 cnf('1.1.1',plain,[-(is_a_theorem(implies(20 ^ [], or(20 ^ [], 21 ^ [])))), implies(20 ^ [], not and(not 20 ^ [], not 21 ^ [])) = implies(20 ^ [], or(20 ^ [], 21 ^ [])), is_a_theorem(implies(20 ^ [], not and(not 20 ^ [], not 21 ^ [])))],extension(2,bind([[_16459, _16410], [implies(20 ^ [], or(20 ^ [], 21 ^ [])), implies(20 ^ [], not and(not 20 ^ [], not 21 ^ []))]]))).
% 0.54/1.47 cnf('1.1.1.1',plain,[-(implies(20 ^ [], not and(not 20 ^ [], not 21 ^ [])) = implies(20 ^ [], or(20 ^ [], 21 ^ []))), implies(20 ^ [], or(20 ^ [], 21 ^ [])) = implies(20 ^ [], not and(not 20 ^ [], not 21 ^ []))],extension(4,bind([[_15665, _15710], [implies(20 ^ [], or(20 ^ [], 21 ^ [])), implies(20 ^ [], not and(not 20 ^ [], not 21 ^ []))]]))).
% 0.54/1.47 cnf('1.1.1.1.1',plain,[-(implies(20 ^ [], or(20 ^ [], 21 ^ [])) = implies(20 ^ [], not and(not 20 ^ [], not 21 ^ []))), 20 ^ [] = 20 ^ [], or(20 ^ [], 21 ^ []) = (not and(not 20 ^ [], not 21 ^ []))],extension(5,bind([[_18002, _18069, _18135, _18200], [20 ^ [], 20 ^ [], or(20 ^ [], 21 ^ []), not and(not 20 ^ [], not 21 ^ [])]]))).
% 0.54/1.47 cnf('1.1.1.1.1.1',plain,[-(20 ^ [] = 20 ^ [])],extension(3,bind([[_15512], [20 ^ []]]))).
% 0.54/1.47 cnf('1.1.1.1.1.2',plain,[-(or(20 ^ [], 21 ^ []) = (not and(not 20 ^ [], not 21 ^ []))), op_or],extension(9,bind([[_30267, _30318], [20 ^ [], 21 ^ []]]))).
% 0.54/1.47 cnf('1.1.1.1.1.2.1',plain,[-(op_or)],extension(6)).
% 0.54/1.47 cnf('1.1.1.2',plain,[-(is_a_theorem(implies(20 ^ [], not and(not 20 ^ [], not 21 ^ [])))), implies(20 ^ [], implies(not 20 ^ [], 21 ^ [])) = implies(20 ^ [], not and(not 20 ^ [], not 21 ^ [])), is_a_theorem(implies(20 ^ [], implies(not 20 ^ [], 21 ^ [])))],extension(2,bind([[_16459, _16410], [implies(20 ^ [], not and(not 20 ^ [], not 21 ^ [])), implies(20 ^ [], implies(not 20 ^ [], 21 ^ []))]]))).
% 0.54/1.47 cnf('1.1.1.2.1',plain,[-(implies(20 ^ [], implies(not 20 ^ [], 21 ^ [])) = implies(20 ^ [], not and(not 20 ^ [], not 21 ^ []))), 20 ^ [] = 20 ^ [], implies(not 20 ^ [], 21 ^ []) = (not and(not 20 ^ [], not 21 ^ []))],extension(5,bind([[_18002, _18069, _18135, _18200], [20 ^ [], 20 ^ [], implies(not 20 ^ [], 21 ^ []), not and(not 20 ^ [], not 21 ^ [])]]))).
% 0.54/1.47 cnf('1.1.1.2.1.1',plain,[-(20 ^ [] = 20 ^ [])],extension(3,bind([[_15512], [20 ^ []]]))).
% 0.54/1.47 cnf('1.1.1.2.1.2',plain,[-(implies(not 20 ^ [], 21 ^ []) = (not and(not 20 ^ [], not 21 ^ []))), op_implies_and],extension(10,bind([[_31081, _31130], [not 20 ^ [], 21 ^ []]]))).
% 0.54/1.47 cnf('1.1.1.2.1.2.1',plain,[-(op_implies_and)],extension(8)).
% 0.54/1.47 cnf('1.1.1.2.2',plain,[-(is_a_theorem(implies(20 ^ [], implies(not 20 ^ [], 21 ^ [])))), cn2],extension(12,bind([[_27249, _27295], [20 ^ [], 21 ^ []]]))).
% 0.54/1.47 cnf('1.1.1.2.2.1',plain,[-(cn2)],extension(7)).
% 0.54/1.47 %-----------------------------------------------------
% 0.54/1.47
% 0.54/1.47 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------