TSTP Solution File: LCL452+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : LCL452+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n007.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 12:15:57 EDT 2022
% Result : Theorem 2.50s 3.48s
% Output : Proof 2.56s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL452+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 23:22:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.50/3.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/3.49 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/3.49
% 2.50/3.49 %-----------------------------------------------------
% 2.50/3.49 fof(luka_cn2, conjecture, cn2, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', luka_cn2)).
% 2.50/3.49 fof(hilbert_op_or, axiom, op_or, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax', hilbert_op_or)).
% 2.50/3.49 fof(hilbert_op_implies_and, axiom, op_implies_and, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax', hilbert_op_implies_and)).
% 2.50/3.49 fof(hilbert_or_1, axiom, or_1, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax', hilbert_or_1)).
% 2.50/3.49 fof(op_or, axiom, op_or => ! [_52796, _52799] : or(_52796, _52799) = (not and(not _52796, not _52799)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax', op_or)).
% 2.50/3.49 fof(op_implies_and, axiom, op_implies_and => ! [_52982, _52985] : implies(_52982, _52985) = (not and(_52982, not _52985)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax', op_implies_and)).
% 2.50/3.49 fof(or_1, axiom, or_1 <=> ! [_53181, _53184] : is_a_theorem(implies(_53181, or(_53181, _53184))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', or_1)).
% 2.50/3.49 fof(cn2, axiom, cn2 <=> ! [_53356, _53359] : is_a_theorem(implies(_53356, implies(not _53356, _53359))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', cn2)).
% 2.50/3.49
% 2.50/3.49 cnf(1, plain, [cn2], clausify(luka_cn2)).
% 2.50/3.49 cnf(2, plain, [-(is_a_theorem(_17099)), _17050 = _17099, is_a_theorem(_17050)], theory(equality)).
% 2.50/3.49 cnf(3, plain, [-(_16152 = _16152)], theory(equality)).
% 2.50/3.49 cnf(4, plain, [_16305 = _16350, -(_16350 = _16305)], theory(equality)).
% 2.50/3.49 cnf(5, plain, [-(implies(_18642, _18775) = implies(_18709, _18840)), _18642 = _18709, _18775 = _18840], theory(equality)).
% 2.50/3.49 cnf(6, plain, [-(op_or)], clausify(hilbert_op_or)).
% 2.50/3.49 cnf(7, plain, [-(op_implies_and)], clausify(hilbert_op_implies_and)).
% 2.50/3.49 cnf(8, plain, [-(or_1)], clausify(hilbert_or_1)).
% 2.50/3.49 cnf(9, plain, [op_or, -(or(_30907, _30958) = (not and(not _30907, not _30958)))], clausify(op_or)).
% 2.50/3.49 cnf(10, plain, [op_implies_and, -(implies(_31721, _31770) = (not and(_31721, not _31770)))], clausify(op_implies_and)).
% 2.50/3.49 cnf(11, plain, [or_1, -(is_a_theorem(implies(_23793, or(_23793, _23837))))], clausify(or_1)).
% 2.50/3.49 cnf(12, plain, [-(cn2), is_a_theorem(implies(42 ^ [], implies(not 42 ^ [], 43 ^ [])))], clausify(cn2)).
% 2.50/3.49
% 2.50/3.49 cnf('1',plain,[cn2],start(1)).
% 2.50/3.49 cnf('1.1',plain,[-(cn2), is_a_theorem(implies(42 ^ [], implies(not 42 ^ [], 43 ^ [])))],extension(12)).
% 2.50/3.49 cnf('1.1.1',plain,[-(is_a_theorem(implies(42 ^ [], implies(not 42 ^ [], 43 ^ [])))), implies(42 ^ [], not and(not 42 ^ [], not 43 ^ [])) = implies(42 ^ [], implies(not 42 ^ [], 43 ^ [])), is_a_theorem(implies(42 ^ [], not and(not 42 ^ [], not 43 ^ [])))],extension(2,bind([[_17099, _17050], [implies(42 ^ [], implies(not 42 ^ [], 43 ^ [])), implies(42 ^ [], not and(not 42 ^ [], not 43 ^ []))]]))).
% 2.50/3.49 cnf('1.1.1.1',plain,[-(implies(42 ^ [], not and(not 42 ^ [], not 43 ^ [])) = implies(42 ^ [], implies(not 42 ^ [], 43 ^ []))), implies(42 ^ [], implies(not 42 ^ [], 43 ^ [])) = implies(42 ^ [], not and(not 42 ^ [], not 43 ^ []))],extension(4,bind([[_16305, _16350], [implies(42 ^ [], implies(not 42 ^ [], 43 ^ [])), implies(42 ^ [], not and(not 42 ^ [], not 43 ^ []))]]))).
% 2.50/3.49 cnf('1.1.1.1.1',plain,[-(implies(42 ^ [], implies(not 42 ^ [], 43 ^ [])) = implies(42 ^ [], not and(not 42 ^ [], not 43 ^ []))), 42 ^ [] = 42 ^ [], implies(not 42 ^ [], 43 ^ []) = (not and(not 42 ^ [], not 43 ^ []))],extension(5,bind([[_18642, _18709, _18775, _18840], [42 ^ [], 42 ^ [], implies(not 42 ^ [], 43 ^ []), not and(not 42 ^ [], not 43 ^ [])]]))).
% 2.50/3.49 cnf('1.1.1.1.1.1',plain,[-(42 ^ [] = 42 ^ [])],extension(3,bind([[_16152], [42 ^ []]]))).
% 2.50/3.49 cnf('1.1.1.1.1.2',plain,[-(implies(not 42 ^ [], 43 ^ []) = (not and(not 42 ^ [], not 43 ^ []))), op_implies_and],extension(10,bind([[_31721, _31770], [not 42 ^ [], 43 ^ []]]))).
% 2.50/3.49 cnf('1.1.1.1.1.2.1',plain,[-(op_implies_and)],extension(7)).
% 2.50/3.49 cnf('1.1.1.2',plain,[-(is_a_theorem(implies(42 ^ [], not and(not 42 ^ [], not 43 ^ [])))), implies(42 ^ [], or(42 ^ [], 43 ^ [])) = implies(42 ^ [], not and(not 42 ^ [], not 43 ^ [])), is_a_theorem(implies(42 ^ [], or(42 ^ [], 43 ^ [])))],extension(2,bind([[_17099, _17050], [implies(42 ^ [], not and(not 42 ^ [], not 43 ^ [])), implies(42 ^ [], or(42 ^ [], 43 ^ []))]]))).
% 2.50/3.49 cnf('1.1.1.2.1',plain,[-(implies(42 ^ [], or(42 ^ [], 43 ^ [])) = implies(42 ^ [], not and(not 42 ^ [], not 43 ^ []))), 42 ^ [] = 42 ^ [], or(42 ^ [], 43 ^ []) = (not and(not 42 ^ [], not 43 ^ []))],extension(5,bind([[_18642, _18709, _18775, _18840], [42 ^ [], 42 ^ [], or(42 ^ [], 43 ^ []), not and(not 42 ^ [], not 43 ^ [])]]))).
% 2.50/3.49 cnf('1.1.1.2.1.1',plain,[-(42 ^ [] = 42 ^ [])],extension(3,bind([[_16152], [42 ^ []]]))).
% 2.50/3.49 cnf('1.1.1.2.1.2',plain,[-(or(42 ^ [], 43 ^ []) = (not and(not 42 ^ [], not 43 ^ []))), op_or],extension(9,bind([[_30907, _30958], [42 ^ [], 43 ^ []]]))).
% 2.50/3.49 cnf('1.1.1.2.1.2.1',plain,[-(op_or)],extension(6)).
% 2.50/3.49 cnf('1.1.1.2.2',plain,[-(is_a_theorem(implies(42 ^ [], or(42 ^ [], 43 ^ [])))), or_1],extension(11,bind([[_23793, _23837], [42 ^ [], 43 ^ []]]))).
% 2.50/3.49 cnf('1.1.1.2.2.1',plain,[-(or_1)],extension(8)).
% 2.50/3.49 %-----------------------------------------------------
% 2.50/3.50
% 2.56/3.50 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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