TSTP Solution File: LCL544+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : LCL544+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 12:16:25 EDT 2022
% Result : Theorem 12.25s 12.88s
% Output : Proof 12.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LCL544+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % 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
% 0.14/0.36 % DateTime : Sun Jul 3 19:21:01 EDT 2022
% 0.14/0.36 % CPUTime :
% 12.25/12.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.25/12.89 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.25/12.90
% 12.25/12.90 %-----------------------------------------------------
% 12.25/12.90 fof(s1_0_axiom_m4, conjecture, axiom_m4, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_0_axiom_m4)).
% 12.25/12.90 fof(modus_ponens, axiom, modus_ponens <=> ! [_86409, _86412] : (is_a_theorem(_86409) & is_a_theorem(implies(_86409, _86412)) => is_a_theorem(_86412)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', modus_ponens)).
% 12.25/12.90 fof(implies_2, axiom, implies_2 <=> ! [_86597, _86600] : is_a_theorem(implies(implies(_86597, implies(_86597, _86600)), implies(_86597, _86600))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', implies_2)).
% 12.25/12.90 fof(and_3, axiom, and_3 <=> ! [_86791, _86794] : is_a_theorem(implies(_86791, implies(_86794, and(_86791, _86794)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', and_3)).
% 12.25/12.90 fof(hilbert_modus_ponens, axiom, modus_ponens, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax', hilbert_modus_ponens)).
% 12.25/12.90 fof(hilbert_implies_2, axiom, implies_2, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax', hilbert_implies_2)).
% 12.25/12.90 fof(hilbert_and_3, axiom, and_3, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax', hilbert_and_3)).
% 12.25/12.90 fof(km4b_necessitation, axiom, necessitation, file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+3.ax', km4b_necessitation)).
% 12.25/12.90 fof(s1_0_op_strict_implies, axiom, op_strict_implies, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_0_op_strict_implies)).
% 12.25/12.90 fof(op_strict_implies, axiom, op_strict_implies => ! [_87244, _87247] : strict_implies(_87244, _87247) = necessarily(implies(_87244, _87247)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+1.ax', op_strict_implies)).
% 12.25/12.90 fof(necessitation, axiom, necessitation <=> ! [_87414] : (is_a_theorem(_87414) => is_a_theorem(necessarily(_87414))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax', necessitation)).
% 12.25/12.90 fof(axiom_m4, axiom, axiom_m4 <=> ! [_87592] : is_a_theorem(strict_implies(_87592, and(_87592, _87592))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax', axiom_m4)).
% 12.25/12.90
% 12.25/12.90 cnf(1, plain, [axiom_m4], clausify(s1_0_axiom_m4)).
% 12.25/12.90 cnf(2, plain, [-(is_a_theorem(_28160)), _28111 = _28160, is_a_theorem(_28111)], theory(equality)).
% 12.25/12.90 cnf(3, plain, [-(_27213 = _27213)], theory(equality)).
% 12.25/12.90 cnf(4, plain, [_27366 = _27411, -(_27411 = _27366)], theory(equality)).
% 12.25/12.90 cnf(5, plain, [-(_27645 = _27756), _27645 = _27701, _27701 = _27756], theory(equality)).
% 12.25/12.90 cnf(6, plain, [modus_ponens, -(is_a_theorem(_33415)), is_a_theorem(_33364), is_a_theorem(implies(_33364, _33415))], clausify(modus_ponens)).
% 12.25/12.90 cnf(7, plain, [implies_2, -(is_a_theorem(implies(implies(_34869, implies(_34869, _34919)), implies(_34869, _34919))))], clausify(implies_2)).
% 12.25/12.90 cnf(8, plain, [and_3, -(is_a_theorem(implies(_36453, implies(_36500, and(_36453, _36500)))))], clausify(and_3)).
% 12.25/12.90 cnf(9, plain, [-(modus_ponens)], clausify(hilbert_modus_ponens)).
% 12.25/12.90 cnf(10, plain, [-(implies_2)], clausify(hilbert_implies_2)).
% 12.25/12.90 cnf(11, plain, [-(and_3)], clausify(hilbert_and_3)).
% 12.25/12.90 cnf(12, plain, [-(necessitation)], clausify(km4b_necessitation)).
% 12.25/12.90 cnf(13, plain, [-(op_strict_implies)], clausify(s1_0_op_strict_implies)).
% 12.25/12.90 cnf(14, plain, [op_strict_implies, -(strict_implies(_57150, _57197) = necessarily(implies(_57150, _57197)))], clausify(op_strict_implies)).
% 12.25/12.90 cnf(15, plain, [necessitation, is_a_theorem(_47978), -(is_a_theorem(necessarily(_47978)))], clausify(necessitation)).
% 12.25/12.90 cnf(16, plain, [-(axiom_m4), is_a_theorem(strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])))], clausify(axiom_m4)).
% 12.25/12.90
% 12.25/12.90 cnf('1',plain,[axiom_m4],start(1)).
% 12.25/12.90 cnf('1.1',plain,[-(axiom_m4), is_a_theorem(strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])))],extension(16)).
% 12.25/12.90 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([[_28160, _28111], [strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])), necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ [])))]]))).
% 12.25/12.90 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([[_27366, _27411], [strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])), necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ [])))]]))).
% 12.25/12.90 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([[_27645, _27701, _27756], [strict_implies(84 ^ [], and(84 ^ [], 84 ^ [])), necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ []))), necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ [])))]]))).
% 12.25/12.90 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([[_57150, _57197], [84 ^ [], and(84 ^ [], 84 ^ [])]]))).
% 12.25/12.90 cnf('1.1.1.1.1.1.1',plain,[-(op_strict_implies)],extension(13)).
% 12.25/12.90 cnf('1.1.1.1.1.2',plain,[-(necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ []))) = necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ []))))],extension(3,bind([[_27213], [necessarily(implies(84 ^ [], and(84 ^ [], 84 ^ [])))]]))).
% 12.25/12.90 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([[_47978], [implies(84 ^ [], and(84 ^ [], 84 ^ []))]]))).
% 12.25/12.90 cnf('1.1.1.2.1',plain,[-(necessitation)],extension(12)).
% 12.25/12.90 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([[_33364, _33415], [implies(84 ^ [], implies(84 ^ [], and(84 ^ [], 84 ^ []))), implies(84 ^ [], and(84 ^ [], 84 ^ []))]]))).
% 12.25/12.90 cnf('1.1.1.2.2.1',plain,[-(modus_ponens)],extension(9)).
% 12.25/12.90 cnf('1.1.1.2.2.2',plain,[-(is_a_theorem(implies(84 ^ [], implies(84 ^ [], and(84 ^ [], 84 ^ []))))), and_3],extension(8,bind([[_36453, _36500], [84 ^ [], 84 ^ []]]))).
% 12.25/12.90 cnf('1.1.1.2.2.2.1',plain,[-(and_3)],extension(11)).
% 12.25/12.90 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([[_34869, _34919], [84 ^ [], and(84 ^ [], 84 ^ [])]]))).
% 12.25/12.90 cnf('1.1.1.2.2.3.1',plain,[-(implies_2)],extension(10)).
% 12.25/12.90 %-----------------------------------------------------
% 12.25/12.91
% 12.25/12.91 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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