TSTP Solution File: SET602+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET602+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n006.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 02:54:36 EDT 2022
% Result : Theorem 0.39s 1.42s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET602+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n006.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 : Sat Jul 9 20:15:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.39/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.43
% 0.39/1.43 %-----------------------------------------------------
% 0.39/1.43 fof(thI29, conjecture, ! [_28726] : equal_set(difference(_28726, _28726), empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI29)).
% 0.39/1.43 fof(subset, axiom, ! [_28863, _28866] : (subset(_28863, _28866) <=> ! [_28884] : (member(_28884, _28863) => member(_28884, _28866))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.39/1.43 fof(equal_set, axiom, ! [_29071, _29074] : (equal_set(_29071, _29074) <=> subset(_29071, _29074) & subset(_29074, _29071)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.39/1.43 fof(empty_set, axiom, ! [_29253] : ~ member(_29253, empty_set), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', empty_set)).
% 0.39/1.43 fof(difference, axiom, ! [_29367, _29370, _29373] : (member(_29367, difference(_29373, _29370)) <=> member(_29367, _29373) & ~ member(_29367, _29370)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', difference)).
% 0.39/1.43
% 0.39/1.43 cnf(1, plain, [equal_set(difference(4 ^ [], 4 ^ []), empty_set)], clausify(thI29)).
% 0.39/1.43 cnf(2, plain, [-(subset(_14557, _14613)), -(member(1 ^ [_14613, _14557], _14557))], clausify(subset)).
% 0.39/1.43 cnf(3, plain, [-(equal_set(_15018, _15069)), subset(_15018, _15069), subset(_15069, _15018)], clausify(equal_set)).
% 0.39/1.43 cnf(4, plain, [member(_16770, empty_set)], clausify(empty_set)).
% 0.39/1.43 cnf(5, plain, [member(_16962, difference(_17083, _17023)), -(member(_16962, _17083))], clausify(difference)).
% 0.39/1.43 cnf(6, plain, [member(_16962, difference(_17083, _17023)), member(_16962, _17023)], clausify(difference)).
% 0.39/1.43
% 0.39/1.43 cnf('1',plain,[equal_set(difference(4 ^ [], 4 ^ []), empty_set)],start(1)).
% 0.39/1.43 cnf('1.1',plain,[-(equal_set(difference(4 ^ [], 4 ^ []), empty_set)), subset(difference(4 ^ [], 4 ^ []), empty_set), subset(empty_set, difference(4 ^ [], 4 ^ []))],extension(3,bind([[_15069, _15018], [empty_set, difference(4 ^ [], 4 ^ [])]]))).
% 0.39/1.43 cnf('1.1.1',plain,[-(subset(difference(4 ^ [], 4 ^ []), empty_set)), -(member(1 ^ [empty_set, difference(4 ^ [], 4 ^ [])], difference(4 ^ [], 4 ^ [])))],extension(2,bind([[_14613, _14557], [empty_set, difference(4 ^ [], 4 ^ [])]]))).
% 0.39/1.43 cnf('1.1.1.1',plain,[member(1 ^ [empty_set, difference(4 ^ [], 4 ^ [])], difference(4 ^ [], 4 ^ [])), -(member(1 ^ [empty_set, difference(4 ^ [], 4 ^ [])], 4 ^ []))],extension(5,bind([[_17023, _16962, _17083], [4 ^ [], 1 ^ [empty_set, difference(4 ^ [], 4 ^ [])], 4 ^ []]]))).
% 0.39/1.43 cnf('1.1.1.1.1',plain,[member(1 ^ [empty_set, difference(4 ^ [], 4 ^ [])], 4 ^ []), member(1 ^ [empty_set, difference(4 ^ [], 4 ^ [])], difference(4 ^ [], 4 ^ []))],extension(6,bind([[_16962, _17083, _17023], [1 ^ [empty_set, difference(4 ^ [], 4 ^ [])], 4 ^ [], 4 ^ []]]))).
% 0.39/1.43 cnf('1.1.1.1.1.1',plain,[-(member(1 ^ [empty_set, difference(4 ^ [], 4 ^ [])], difference(4 ^ [], 4 ^ [])))],reduction('1.1.1')).
% 0.39/1.43 cnf('1.1.2',plain,[-(subset(empty_set, difference(4 ^ [], 4 ^ []))), -(member(1 ^ [difference(4 ^ [], 4 ^ []), empty_set], empty_set))],extension(2,bind([[_14613, _14557], [difference(4 ^ [], 4 ^ []), empty_set]]))).
% 0.39/1.43 cnf('1.1.2.1',plain,[member(1 ^ [difference(4 ^ [], 4 ^ []), empty_set], empty_set)],extension(4,bind([[_16770], [1 ^ [difference(4 ^ [], 4 ^ []), empty_set]]]))).
% 0.39/1.43 %-----------------------------------------------------
% 0.39/1.44
% 0.39/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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