TSTP Solution File: LCL538+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : LCL538+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 12:16:23 EDT 2022
% Result : Theorem 237.09s 229.22s
% Output : Proof 237.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL538+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n026.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 4 21:01:37 EDT 2022
% 0.11/0.33 % CPUTime :
% 237.09/229.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 237.17/229.23 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 237.17/229.23
% 237.17/229.23 %-----------------------------------------------------
% 237.17/229.23 fof(s1_0_modus_ponens_strict_implies, conjecture, modus_ponens_strict_implies, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_0_modus_ponens_strict_implies)).
% 237.17/229.23 fof(hilbert_modus_ponens, axiom, modus_ponens, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax', hilbert_modus_ponens)).
% 237.17/229.23 fof(modus_ponens_strict_implies, axiom, modus_ponens_strict_implies <=> ! [_116665, _116668] : (is_a_theorem(_116665) & is_a_theorem(strict_implies(_116665, _116668)) => is_a_theorem(_116668)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax', modus_ponens_strict_implies)).
% 237.17/229.23 fof(axiom_M, axiom, axiom_M <=> ! [_116869] : is_a_theorem(implies(necessarily(_116869), _116869)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax', axiom_M)).
% 237.17/229.23 fof(s1_0_op_strict_implies, axiom, op_strict_implies, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_0_op_strict_implies)).
% 237.17/229.23 fof(op_strict_implies, axiom, op_strict_implies => ! [_117084, _117087] : strict_implies(_117084, _117087) = necessarily(implies(_117084, _117087)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+1.ax', op_strict_implies)).
% 237.17/229.23 fof(modus_ponens, axiom, modus_ponens <=> ! [_117267, _117270] : (is_a_theorem(_117267) & is_a_theorem(implies(_117267, _117270)) => is_a_theorem(_117270)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', modus_ponens)).
% 237.17/229.23 fof(km4b_axiom_M, axiom, axiom_M, file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+3.ax', km4b_axiom_M)).
% 237.17/229.23
% 237.17/229.23 cnf(1, plain, [modus_ponens_strict_implies], clausify(s1_0_modus_ponens_strict_implies)).
% 237.17/229.23 cnf(2, plain, [-(is_a_theorem(_28182)), _28133 = _28182, is_a_theorem(_28133)], theory(equality)).
% 237.17/229.23 cnf(3, plain, [-(modus_ponens)], clausify(hilbert_modus_ponens)).
% 237.17/229.23 cnf(4, plain, [-(modus_ponens_strict_implies), -(is_a_theorem(strict_implies(57 ^ [], 58 ^ [])))], clausify(modus_ponens_strict_implies)).
% 237.17/229.23 cnf(5, plain, [axiom_M, -(is_a_theorem(implies(necessarily(_49873), _49873)))], clausify(axiom_M)).
% 237.17/229.23 cnf(6, plain, [-(modus_ponens_strict_implies), -(is_a_theorem(57 ^ []))], clausify(modus_ponens_strict_implies)).
% 237.17/229.23 cnf(7, plain, [-(op_strict_implies)], clausify(s1_0_op_strict_implies)).
% 237.17/229.23 cnf(8, plain, [op_strict_implies, -(strict_implies(_57172, _57219) = necessarily(implies(_57172, _57219)))], clausify(op_strict_implies)).
% 237.17/229.23 cnf(9, plain, [modus_ponens, -(is_a_theorem(_33437)), is_a_theorem(_33386), is_a_theorem(implies(_33386, _33437))], clausify(modus_ponens)).
% 237.17/229.23 cnf(10, plain, [-(axiom_M)], clausify(km4b_axiom_M)).
% 237.17/229.23 cnf(11, plain, [-(modus_ponens_strict_implies), is_a_theorem(58 ^ [])], clausify(modus_ponens_strict_implies)).
% 237.17/229.23
% 237.17/229.23 cnf('1',plain,[modus_ponens_strict_implies],start(1)).
% 237.17/229.23 cnf('1.1',plain,[-(modus_ponens_strict_implies), -(is_a_theorem(strict_implies(57 ^ [], 58 ^ [])))],extension(4)).
% 237.17/229.23 cnf('1.1.1',plain,[is_a_theorem(strict_implies(57 ^ [], 58 ^ [])), -(is_a_theorem(necessarily(implies(57 ^ [], 58 ^ [])))), strict_implies(57 ^ [], 58 ^ []) = necessarily(implies(57 ^ [], 58 ^ []))],extension(2,bind([[_28133, _28182], [strict_implies(57 ^ [], 58 ^ []), necessarily(implies(57 ^ [], 58 ^ []))]]))).
% 237.17/229.23 cnf('1.1.1.1',plain,[is_a_theorem(necessarily(implies(57 ^ [], 58 ^ []))), modus_ponens, -(is_a_theorem(implies(57 ^ [], 58 ^ []))), is_a_theorem(implies(necessarily(implies(57 ^ [], 58 ^ [])), implies(57 ^ [], 58 ^ [])))],extension(9,bind([[_33386, _33437], [necessarily(implies(57 ^ [], 58 ^ [])), implies(57 ^ [], 58 ^ [])]]))).
% 237.17/229.23 cnf('1.1.1.1.1',plain,[-(modus_ponens)],extension(3)).
% 237.17/229.23 cnf('1.1.1.1.2',plain,[is_a_theorem(implies(57 ^ [], 58 ^ [])), modus_ponens, -(is_a_theorem(58 ^ [])), is_a_theorem(57 ^ [])],extension(9,bind([[_33437, _33386], [58 ^ [], 57 ^ []]]))).
% 237.17/229.23 cnf('1.1.1.1.2.1',plain,[-(modus_ponens)],extension(3)).
% 237.17/229.23 cnf('1.1.1.1.2.2',plain,[is_a_theorem(58 ^ []), -(modus_ponens_strict_implies)],extension(11)).
% 237.17/229.23 cnf('1.1.1.1.2.2.1',plain,[modus_ponens_strict_implies],extension(1)).
% 237.17/229.23 cnf('1.1.1.1.2.3',plain,[-(is_a_theorem(57 ^ [])), -(modus_ponens_strict_implies)],extension(6)).
% 237.17/229.23 cnf('1.1.1.1.2.3.1',plain,[modus_ponens_strict_implies],extension(1)).
% 237.17/229.23 cnf('1.1.1.1.3',plain,[-(is_a_theorem(implies(necessarily(implies(57 ^ [], 58 ^ [])), implies(57 ^ [], 58 ^ [])))), axiom_M],extension(5,bind([[_49873], [implies(57 ^ [], 58 ^ [])]]))).
% 237.17/229.23 cnf('1.1.1.1.3.1',plain,[-(axiom_M)],extension(10)).
% 237.17/229.23 cnf('1.1.1.2',plain,[-(strict_implies(57 ^ [], 58 ^ []) = necessarily(implies(57 ^ [], 58 ^ []))), op_strict_implies],extension(8,bind([[_57172, _57219], [57 ^ [], 58 ^ []]]))).
% 237.17/229.23 cnf('1.1.1.2.1',plain,[-(op_strict_implies)],extension(7)).
% 237.17/229.23 %-----------------------------------------------------
% 237.17/229.24
% 237.17/229.24 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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