TSTP Solution File: LCL531+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : LCL531+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 12:16:21 EDT 2022
% Result : Theorem 9.90s 10.74s
% Output : Proof 9.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL531+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n026.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 : Sun Jul 3 18:35:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.90/10.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.90/10.75 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.90/10.76
% 9.90/10.76 %-----------------------------------------------------
% 9.90/10.76 fof(s1_0_axiom_m4, conjecture, axiom_m4, file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_0_axiom_m4)).
% 9.90/10.76 fof(modus_ponens, axiom, modus_ponens <=> ! [_86095, _86098] : (is_a_theorem(_86095) & is_a_theorem(implies(_86095, _86098)) => is_a_theorem(_86098)), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', modus_ponens)).
% 9.90/10.76 fof(implies_2, axiom, implies_2 <=> ! [_86283, _86286] : is_a_theorem(implies(implies(_86283, implies(_86283, _86286)), implies(_86283, _86286))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', implies_2)).
% 9.90/10.76 fof(and_3, axiom, and_3 <=> ! [_86477, _86480] : is_a_theorem(implies(_86477, implies(_86480, and(_86477, _86480)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', and_3)).
% 9.90/10.76 fof(hilbert_modus_ponens, axiom, modus_ponens, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax', hilbert_modus_ponens)).
% 9.90/10.76 fof(hilbert_implies_2, axiom, implies_2, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax', hilbert_implies_2)).
% 9.90/10.76 fof(hilbert_and_3, axiom, and_3, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax', hilbert_and_3)).
% 9.90/10.76 fof(km5_necessitation, axiom, necessitation, file('/export/starexec/sandbox/benchmark/Axioms/LCL007+2.ax', km5_necessitation)).
% 9.90/10.76 fof(s1_0_op_strict_implies, axiom, op_strict_implies, file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_0_op_strict_implies)).
% 9.90/10.76 fof(op_strict_implies, axiom, op_strict_implies => ! [_86929, _86932] : strict_implies(_86929, _86932) = necessarily(implies(_86929, _86932)), file('/export/starexec/sandbox/benchmark/Axioms/LCL007+1.ax', op_strict_implies)).
% 9.90/10.76 fof(necessitation, axiom, necessitation <=> ! [_87099] : (is_a_theorem(_87099) => is_a_theorem(necessarily(_87099))), file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax', necessitation)).
% 9.90/10.76 fof(axiom_m4, axiom, axiom_m4 <=> ! [_87277] : is_a_theorem(strict_implies(_87277, and(_87277, _87277))), file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax', axiom_m4)).
% 9.90/10.76
% 9.90/10.76 cnf(1, plain, [axiom_m4], clausify(s1_0_axiom_m4)).
% 9.90/10.76 cnf(2, plain, [-(is_a_theorem(_28048)), _27999 = _28048, is_a_theorem(_27999)], theory(equality)).
% 9.90/10.76 cnf(3, plain, [-(_27101 = _27101)], theory(equality)).
% 9.90/10.76 cnf(4, plain, [_27254 = _27299, -(_27299 = _27254)], theory(equality)).
% 9.90/10.76 cnf(5, plain, [-(_27533 = _27644), _27533 = _27589, _27589 = _27644], theory(equality)).
% 9.90/10.76 cnf(6, plain, [modus_ponens, -(is_a_theorem(_33303)), is_a_theorem(_33252), is_a_theorem(implies(_33252, _33303))], clausify(modus_ponens)).
% 9.90/10.76 cnf(7, plain, [implies_2, -(is_a_theorem(implies(implies(_34757, implies(_34757, _34807)), implies(_34757, _34807))))], clausify(implies_2)).
% 9.90/10.76 cnf(8, plain, [and_3, -(is_a_theorem(implies(_36341, implies(_36388, and(_36341, _36388)))))], clausify(and_3)).
% 9.90/10.76 cnf(9, plain, [-(modus_ponens)], clausify(hilbert_modus_ponens)).
% 9.90/10.76 cnf(10, plain, [-(implies_2)], clausify(hilbert_implies_2)).
% 9.90/10.76 cnf(11, plain, [-(and_3)], clausify(hilbert_and_3)).
% 9.90/10.76 cnf(12, plain, [-(necessitation)], clausify(km5_necessitation)).
% 9.90/10.76 cnf(13, plain, [-(op_strict_implies)], clausify(s1_0_op_strict_implies)).
% 9.90/10.76 cnf(14, plain, [op_strict_implies, -(strict_implies(_57038, _57085) = necessarily(implies(_57038, _57085)))], clausify(op_strict_implies)).
% 9.90/10.76 cnf(15, plain, [necessitation, is_a_theorem(_47866), -(is_a_theorem(necessarily(_47866)))], clausify(necessitation)).
% 9.90/10.76 cnf(16, plain, [-(axiom_m4), is_a_theorem(strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])))], clausify(axiom_m4)).
% 9.90/10.76
% 9.90/10.76 cnf('1',plain,[axiom_m4],start(1)).
% 9.90/10.76 cnf('1.1',plain,[-(axiom_m4), is_a_theorem(strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])))],extension(16)).
% 9.90/10.76 cnf('1.1.1',plain,[-(is_a_theorem(strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])))), necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ []))) = strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])), is_a_theorem(necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ []))))],extension(2,bind([[_28048, _27999], [strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])), necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ [])))]]))).
% 9.90/10.76 cnf('1.1.1.1',plain,[-(necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ []))) = strict_implies(84 ^ [], and(84 ^ [], 84 ^ []))), strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])) = necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ [])))],extension(4,bind([[_27254, _27299], [strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])), necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ [])))]]))).
% 9.90/10.76 cnf('1.1.1.1.1',plain,[-(strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])) = necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ [])))), strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])) = necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ []))), necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ []))) = necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ [])))],extension(5,bind([[_27533, _27589, _27644], [strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])), necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ []))), necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ [])))]]))).
% 9.90/10.76 cnf('1.1.1.1.1.1',plain,[-(strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])) = necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ [])))), op_strict_implies],extension(14,bind([[_57038, _57085], [84 ^ [], and(84 ^ [], 84 ^ [])]]))).
% 9.90/10.76 cnf('1.1.1.1.1.1.1',plain,[-(op_strict_implies)],extension(13)).
% 9.90/10.76 cnf('1.1.1.1.1.2',plain,[-(necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ []))) = necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ []))))],extension(3,bind([[_27101], [necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ [])))]]))).
% 9.90/10.76 cnf('1.1.1.2',plain,[-(is_a_theorem(necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ []))))), necessitation, is_a_theorem(implies(84 ^ [], and(84 ^ [], 84 ^ [])))],extension(15,bind([[_47866], [implies(84 ^ [], and(84 ^ [], 84 ^ []))]]))).
% 9.90/10.76 cnf('1.1.1.2.1',plain,[-(necessitation)],extension(12)).
% 9.90/10.76 cnf('1.1.1.2.2',plain,[-(is_a_theorem(implies(84 ^ [], and(84 ^ [], 84 ^ [])))), modus_ponens, is_a_theorem(implies(84 ^ [], implies(84 ^ [], and(84 ^ [], 84 ^ [])))), is_a_theorem(implies(implies(84 ^ [], implies(84 ^ [], and(84 ^ [], 84 ^ []))), implies(84 ^ [], and(84 ^ [], 84 ^ []))))],extension(6,bind([[_33252, _33303], [implies(84 ^ [], implies(84 ^ [], and(84 ^ [], 84 ^ []))), implies(84 ^ [], and(84 ^ [], 84 ^ []))]]))).
% 9.90/10.76 cnf('1.1.1.2.2.1',plain,[-(modus_ponens)],extension(9)).
% 9.90/10.76 cnf('1.1.1.2.2.2',plain,[-(is_a_theorem(implies(84 ^ [], implies(84 ^ [], and(84 ^ [], 84 ^ []))))), and_3],extension(8,bind([[_36341, _36388], [84 ^ [], 84 ^ []]]))).
% 9.90/10.76 cnf('1.1.1.2.2.2.1',plain,[-(and_3)],extension(11)).
% 9.90/10.76 cnf('1.1.1.2.2.3',plain,[-(is_a_theorem(implies(implies(84 ^ [], implies(84 ^ [], and(84 ^ [], 84 ^ []))), implies(84 ^ [], and(84 ^ [], 84 ^ []))))), implies_2],extension(7,bind([[_34757, _34807], [84 ^ [], and(84 ^ [], 84 ^ [])]]))).
% 9.90/10.76 cnf('1.1.1.2.2.3.1',plain,[-(implies_2)],extension(10)).
% 9.90/10.76 %-----------------------------------------------------
% 9.98/10.76
% 9.98/10.76 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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