TSTP Solution File: LCL542+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : LCL542+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 12:16:24 EDT 2022
% Result : Theorem 0.38s 1.41s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL542+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 2 16:39:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.38/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.42
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.42 fof(s1_0_axiom_m2, conjecture, axiom_m2, file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_0_axiom_m2)).
% 0.38/1.42 fof(and_1, axiom, and_1 <=> ! [_84586, _84589] : is_a_theorem(implies(and(_84586, _84589), _84586)), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', and_1)).
% 0.38/1.42 fof(hilbert_and_1, axiom, and_1, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax', hilbert_and_1)).
% 0.38/1.42 fof(km4b_necessitation, axiom, necessitation, file('/export/starexec/sandbox/benchmark/Axioms/LCL007+3.ax', km4b_necessitation)).
% 0.38/1.42 fof(s1_0_op_strict_implies, axiom, op_strict_implies, file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_0_op_strict_implies)).
% 0.38/1.42 fof(op_strict_implies, axiom, op_strict_implies => ! [_84943, _84946] : strict_implies(_84943, _84946) = necessarily(implies(_84943, _84946)), file('/export/starexec/sandbox/benchmark/Axioms/LCL007+1.ax', op_strict_implies)).
% 0.38/1.42 fof(necessitation, axiom, necessitation <=> ! [_85113] : (is_a_theorem(_85113) => is_a_theorem(necessarily(_85113))), file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax', necessitation)).
% 0.38/1.42 fof(axiom_m2, axiom, axiom_m2 <=> ! [_85287, _85290] : is_a_theorem(strict_implies(and(_85287, _85290), _85287)), file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax', axiom_m2)).
% 0.38/1.42
% 0.38/1.42 cnf(1, plain, [axiom_m2], clausify(s1_0_axiom_m2)).
% 0.38/1.42 cnf(2, plain, [-(is_a_theorem(_28108)), _28059 = _28108, is_a_theorem(_28059)], theory(equality)).
% 0.38/1.42 cnf(3, plain, [_27314 = _27359, -(_27359 = _27314)], theory(equality)).
% 0.38/1.42 cnf(4, plain, [and_1, -(is_a_theorem(implies(and(_35753, _35797), _35753)))], clausify(and_1)).
% 0.38/1.42 cnf(5, plain, [-(and_1)], clausify(hilbert_and_1)).
% 0.38/1.42 cnf(6, plain, [-(necessitation)], clausify(km4b_necessitation)).
% 0.38/1.42 cnf(7, plain, [-(op_strict_implies)], clausify(s1_0_op_strict_implies)).
% 0.38/1.42 cnf(8, plain, [op_strict_implies, -(strict_implies(_57098, _57145) = necessarily(implies(_57098, _57145)))], clausify(op_strict_implies)).
% 0.38/1.42 cnf(9, plain, [necessitation, is_a_theorem(_47926), -(is_a_theorem(necessarily(_47926)))], clausify(necessitation)).
% 0.38/1.42 cnf(10, plain, [-(axiom_m2), is_a_theorem(strict_implies(and(79 ^ [], 80 ^ []), 79 ^ []))], clausify(axiom_m2)).
% 0.38/1.42
% 0.38/1.42 cnf('1',plain,[axiom_m2],start(1)).
% 0.38/1.42 cnf('1.1',plain,[-(axiom_m2), is_a_theorem(strict_implies(and(79 ^ [], 80 ^ []), 79 ^ []))],extension(10)).
% 0.38/1.42 cnf('1.1.1',plain,[-(is_a_theorem(strict_implies(and(79 ^ [], 80 ^ []), 79 ^ []))), necessarily(implies(and(79 ^ [], 80 ^ []), 79 ^ [])) = strict_implies(and(79 ^ [], 80 ^ []), 79 ^ []), is_a_theorem(necessarily(implies(and(79 ^ [], 80 ^ []), 79 ^ [])))],extension(2,bind([[_28108, _28059], [strict_implies(and(79 ^ [], 80 ^ []), 79 ^ []), necessarily(implies(and(79 ^ [], 80 ^ []), 79 ^ []))]]))).
% 0.38/1.42 cnf('1.1.1.1',plain,[-(necessarily(implies(and(79 ^ [], 80 ^ []), 79 ^ [])) = strict_implies(and(79 ^ [], 80 ^ []), 79 ^ [])), strict_implies(and(79 ^ [], 80 ^ []), 79 ^ []) = necessarily(implies(and(79 ^ [], 80 ^ []), 79 ^ []))],extension(3,bind([[_27314, _27359], [strict_implies(and(79 ^ [], 80 ^ []), 79 ^ []), necessarily(implies(and(79 ^ [], 80 ^ []), 79 ^ []))]]))).
% 0.38/1.42 cnf('1.1.1.1.1',plain,[-(strict_implies(and(79 ^ [], 80 ^ []), 79 ^ []) = necessarily(implies(and(79 ^ [], 80 ^ []), 79 ^ []))), op_strict_implies],extension(8,bind([[_57098, _57145], [and(79 ^ [], 80 ^ []), 79 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.1.1.1',plain,[-(op_strict_implies)],extension(7)).
% 0.38/1.42 cnf('1.1.1.2',plain,[-(is_a_theorem(necessarily(implies(and(79 ^ [], 80 ^ []), 79 ^ [])))), necessitation, is_a_theorem(implies(and(79 ^ [], 80 ^ []), 79 ^ []))],extension(9,bind([[_47926], [implies(and(79 ^ [], 80 ^ []), 79 ^ [])]]))).
% 0.38/1.42 cnf('1.1.1.2.1',plain,[-(necessitation)],extension(6)).
% 0.38/1.42 cnf('1.1.1.2.2',plain,[-(is_a_theorem(implies(and(79 ^ [], 80 ^ []), 79 ^ []))), and_1],extension(4,bind([[_35797, _35753], [80 ^ [], 79 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.2.2.1',plain,[-(and_1)],extension(5)).
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.42
% 0.38/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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