TSTP Solution File: LCL536+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : LCL536+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 12:16:23 EDT 2022
% Result : Theorem 0.41s 1.45s
% Output : Proof 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : LCL536+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.14 % Command : leancop_casc.sh %s %d
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 4 15:41:56 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.41/1.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/1.46 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/1.47
% 0.50/1.47 %-----------------------------------------------------
% 0.50/1.47 fof(s1_0_m10_axiom_m10, conjecture, axiom_m10, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_0_m10_axiom_m10)).
% 0.50/1.47 fof(km5_necessitation, axiom, necessitation, file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+2.ax', km5_necessitation)).
% 0.50/1.47 fof(km5_axiom_5, axiom, axiom_5, file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+2.ax', km5_axiom_5)).
% 0.50/1.47 fof(s1_0_op_strict_implies, axiom, op_strict_implies, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_0_op_strict_implies)).
% 0.50/1.47 fof(op_strict_implies, axiom, op_strict_implies => ! [_84575, _84578] : strict_implies(_84575, _84578) = necessarily(implies(_84575, _84578)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+1.ax', op_strict_implies)).
% 0.50/1.47 fof(necessitation, axiom, necessitation <=> ! [_84745] : (is_a_theorem(_84745) => is_a_theorem(necessarily(_84745))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax', necessitation)).
% 0.50/1.47 fof(axiom_5, axiom, axiom_5 <=> ! [_84906] : is_a_theorem(implies(possibly(_84906), necessarily(possibly(_84906)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax', axiom_5)).
% 0.50/1.47 fof(axiom_m10, axiom, axiom_m10 <=> ! [_85089] : is_a_theorem(strict_implies(possibly(_85089), necessarily(possibly(_85089)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax', axiom_m10)).
% 0.50/1.47
% 0.50/1.47 cnf(1, plain, [axiom_m10], clausify(s1_0_m10_axiom_m10)).
% 0.50/1.47 cnf(2, plain, [-(is_a_theorem(_28100)), _28051 = _28100, is_a_theorem(_28051)], theory(equality)).
% 0.50/1.47 cnf(3, plain, [_27306 = _27351, -(_27351 = _27306)], theory(equality)).
% 0.50/1.47 cnf(4, plain, [-(necessitation)], clausify(km5_necessitation)).
% 0.50/1.47 cnf(5, plain, [-(axiom_5)], clausify(km5_axiom_5)).
% 0.50/1.47 cnf(6, plain, [-(op_strict_implies)], clausify(s1_0_op_strict_implies)).
% 0.50/1.47 cnf(7, plain, [op_strict_implies, -(strict_implies(_57090, _57137) = necessarily(implies(_57090, _57137)))], clausify(op_strict_implies)).
% 0.50/1.47 cnf(8, plain, [necessitation, is_a_theorem(_47918), -(is_a_theorem(necessarily(_47918)))], clausify(necessitation)).
% 0.50/1.47 cnf(9, plain, [axiom_5, -(is_a_theorem(implies(possibly(_50586), necessarily(possibly(_50586)))))], clausify(axiom_5)).
% 0.50/1.47 cnf(10, plain, [-(axiom_m10), is_a_theorem(strict_implies(possibly(94 ^ []), necessarily(possibly(94 ^ []))))], clausify(axiom_m10)).
% 0.50/1.47
% 0.50/1.47 cnf('1',plain,[axiom_m10],start(1)).
% 0.50/1.47 cnf('1.1',plain,[-(axiom_m10), is_a_theorem(strict_implies(possibly(94 ^ []), necessarily(possibly(94 ^ []))))],extension(10)).
% 0.50/1.47 cnf('1.1.1',plain,[-(is_a_theorem(strict_implies(possibly(94 ^ []), necessarily(possibly(94 ^ []))))), necessarily(implies(possibly(94 ^ []), necessarily(possibly(94 ^ [])))) = strict_implies(possibly(94 ^ []), necessarily(possibly(94 ^ []))), is_a_theorem(necessarily(implies(possibly(94 ^ []), necessarily(possibly(94 ^ [])))))],extension(2,bind([[_28100, _28051], [strict_implies(possibly(94 ^ []), necessarily(possibly(94 ^ []))), necessarily(implies(possibly(94 ^ []), necessarily(possibly(94 ^ []))))]]))).
% 0.50/1.47 cnf('1.1.1.1',plain,[-(necessarily(implies(possibly(94 ^ []), necessarily(possibly(94 ^ [])))) = strict_implies(possibly(94 ^ []), necessarily(possibly(94 ^ [])))), strict_implies(possibly(94 ^ []), necessarily(possibly(94 ^ []))) = necessarily(implies(possibly(94 ^ []), necessarily(possibly(94 ^ []))))],extension(3,bind([[_27306, _27351], [strict_implies(possibly(94 ^ []), necessarily(possibly(94 ^ []))), necessarily(implies(possibly(94 ^ []), necessarily(possibly(94 ^ []))))]]))).
% 0.50/1.47 cnf('1.1.1.1.1',plain,[-(strict_implies(possibly(94 ^ []), necessarily(possibly(94 ^ []))) = necessarily(implies(possibly(94 ^ []), necessarily(possibly(94 ^ []))))), op_strict_implies],extension(7,bind([[_57090, _57137], [possibly(94 ^ []), necessarily(possibly(94 ^ []))]]))).
% 0.50/1.47 cnf('1.1.1.1.1.1',plain,[-(op_strict_implies)],extension(6)).
% 0.50/1.47 cnf('1.1.1.2',plain,[-(is_a_theorem(necessarily(implies(possibly(94 ^ []), necessarily(possibly(94 ^ [])))))), necessitation, is_a_theorem(implies(possibly(94 ^ []), necessarily(possibly(94 ^ []))))],extension(8,bind([[_47918], [implies(possibly(94 ^ []), necessarily(possibly(94 ^ [])))]]))).
% 0.50/1.47 cnf('1.1.1.2.1',plain,[-(necessitation)],extension(4)).
% 0.50/1.47 cnf('1.1.1.2.2',plain,[-(is_a_theorem(implies(possibly(94 ^ []), necessarily(possibly(94 ^ []))))), axiom_5],extension(9,bind([[_50586], [94 ^ []]]))).
% 0.50/1.47 cnf('1.1.1.2.2.1',plain,[-(axiom_5)],extension(5)).
% 0.50/1.47 %-----------------------------------------------------
% 0.50/1.48
% 0.50/1.48 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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