TSTP Solution File: SET764+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n007.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 : Tue Jul 19 02:55:50 EDT 2022
% Result : Theorem 2.51s 3.48s
% Output : Proof 2.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 02:35:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.51/3.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.51/3.49 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.51/3.49
% 2.51/3.49 %-----------------------------------------------------
% 2.51/3.49 fof(thIIa14, conjecture, ! [_119833, _119836, _119839] : (maps(_119833, _119836, _119839) => equal_set(inverse_image2(_119833, empty_set), empty_set)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thIIa14)).
% 2.51/3.49 fof(subset, axiom, ! [_120045, _120048] : (subset(_120045, _120048) <=> ! [_120066] : (member(_120066, _120045) => member(_120066, _120048))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 2.51/3.49 fof(equal_set, axiom, ! [_120253, _120256] : (equal_set(_120253, _120256) <=> subset(_120253, _120256) & subset(_120256, _120253)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', equal_set)).
% 2.51/3.49 fof(empty_set, axiom, ! [_120435] : ~ member(_120435, empty_set), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', empty_set)).
% 2.51/3.49 fof(inverse_image2, axiom, ! [_120631, _120634, _120637] : (member(_120637, inverse_image2(_120631, _120634)) <=> ? [_120662] : (member(_120662, _120634) & apply(_120631, _120637, _120662))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', inverse_image2)).
% 2.51/3.49
% 2.51/3.49 cnf(1, plain, [equal_set(inverse_image2(41 ^ [], empty_set), empty_set)], clausify(thIIa14)).
% 2.51/3.49 cnf(2, plain, [-(subset(_54617, _54673)), -(member(1 ^ [_54673, _54617], _54617))], clausify(subset)).
% 2.51/3.49 cnf(3, plain, [-(equal_set(_55078, _55129)), subset(_55078, _55129), subset(_55129, _55078)], clausify(equal_set)).
% 2.51/3.49 cnf(4, plain, [member(_56830, empty_set)], clausify(empty_set)).
% 2.51/3.49 cnf(5, plain, [member(_73164, inverse_image2(_73035, _73100)), -(member(27 ^ [_73164, _73100, _73035], _73100))], clausify(inverse_image2)).
% 2.51/3.49
% 2.51/3.49 cnf('1',plain,[equal_set(inverse_image2(41 ^ [], empty_set), empty_set)],start(1)).
% 2.51/3.49 cnf('1.1',plain,[-(equal_set(inverse_image2(41 ^ [], empty_set), empty_set)), subset(inverse_image2(41 ^ [], empty_set), empty_set), subset(empty_set, inverse_image2(41 ^ [], empty_set))],extension(3,bind([[_55129, _55078], [empty_set, inverse_image2(41 ^ [], empty_set)]]))).
% 2.51/3.49 cnf('1.1.1',plain,[-(subset(inverse_image2(41 ^ [], empty_set), empty_set)), -(member(1 ^ [empty_set, inverse_image2(41 ^ [], empty_set)], inverse_image2(41 ^ [], empty_set)))],extension(2,bind([[_54673, _54617], [empty_set, inverse_image2(41 ^ [], empty_set)]]))).
% 2.51/3.49 cnf('1.1.1.1',plain,[member(1 ^ [empty_set, inverse_image2(41 ^ [], empty_set)], inverse_image2(41 ^ [], empty_set)), -(member(27 ^ [1 ^ [empty_set, inverse_image2(41 ^ [], empty_set)], empty_set, 41 ^ []], empty_set))],extension(5,bind([[_73164, _73035, _73100], [1 ^ [empty_set, inverse_image2(41 ^ [], empty_set)], 41 ^ [], empty_set]]))).
% 2.51/3.49 cnf('1.1.1.1.1',plain,[member(27 ^ [1 ^ [empty_set, inverse_image2(41 ^ [], empty_set)], empty_set, 41 ^ []], empty_set)],extension(4,bind([[_56830], [27 ^ [1 ^ [empty_set, inverse_image2(41 ^ [], empty_set)], empty_set, 41 ^ []]]]))).
% 2.51/3.49 cnf('1.1.2',plain,[-(subset(empty_set, inverse_image2(41 ^ [], empty_set))), -(member(1 ^ [inverse_image2(41 ^ [], empty_set), empty_set], empty_set))],extension(2,bind([[_54673, _54617], [inverse_image2(41 ^ [], empty_set), empty_set]]))).
% 2.51/3.49 cnf('1.1.2.1',plain,[member(1 ^ [inverse_image2(41 ^ [], empty_set), empty_set], empty_set)],extension(4,bind([[_56830], [1 ^ [inverse_image2(41 ^ [], empty_set), empty_set]]]))).
% 2.51/3.49 %-----------------------------------------------------
% 2.51/3.50
% 2.51/3.50 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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