TSTP Solution File: SET695+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET695+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 02:55:26 EDT 2022
% Result : Theorem 0.80s 1.41s
% Output : Proof 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET695+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 00:25:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.80/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.87/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.87/1.43
% 0.87/1.43 %-----------------------------------------------------
% 0.87/1.43 fof(thI24, conjecture, ! [_35518, _35521, _35524] : (subset(_35518, _35524) & subset(_35521, _35524) => (subset(_35518, _35521) <=> subset(difference(_35524, _35521), difference(_35524, _35518)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI24)).
% 0.87/1.43 fof(subset, axiom, ! [_35833, _35836] : (subset(_35833, _35836) <=> ! [_35854] : (member(_35854, _35833) => member(_35854, _35836))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.87/1.43 fof(difference, axiom, ! [_36073, _36076, _36079] : (member(_36073, difference(_36079, _36076)) <=> member(_36073, _36079) & ~ member(_36073, _36076)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', difference)).
% 0.87/1.43
% 0.87/1.43 cnf(1, plain, [-(8 ^ []), subset(4 ^ [], 5 ^ [])], clausify(thI24)).
% 0.87/1.43 cnf(2, plain, [-(8 ^ []), -(subset(difference(6 ^ [], 5 ^ []), difference(6 ^ [], 4 ^ [])))], clausify(thI24)).
% 0.87/1.43 cnf(3, plain, [-(7 ^ []), subset(difference(6 ^ [], 5 ^ []), difference(6 ^ [], 4 ^ []))], clausify(thI24)).
% 0.87/1.43 cnf(4, plain, [-(7 ^ []), -(subset(4 ^ [], 5 ^ []))], clausify(thI24)).
% 0.87/1.43 cnf(5, plain, [-(subset(4 ^ [], 6 ^ []))], clausify(thI24)).
% 0.87/1.43 cnf(6, plain, [7 ^ [], 8 ^ []], clausify(thI24)).
% 0.87/1.43 cnf(7, plain, [-(subset(_14890, _14946)), -(member(1 ^ [_14946, _14890], _14890))], clausify(subset)).
% 0.87/1.43 cnf(8, plain, [-(subset(_14890, _14946)), member(1 ^ [_14946, _14890], _14946)], clausify(subset)).
% 0.87/1.43 cnf(9, plain, [subset(_14890, _14946), member(_15060, _14890), -(member(_15060, _14946))], clausify(subset)).
% 0.87/1.43 cnf(10, plain, [member(_17295, difference(_17416, _17356)), -(member(_17295, _17416))], clausify(difference)).
% 0.87/1.43 cnf(11, plain, [member(_17295, difference(_17416, _17356)), member(_17295, _17356)], clausify(difference)).
% 0.87/1.43 cnf(12, plain, [-(member(_17295, difference(_17416, _17356))), member(_17295, _17416), -(member(_17295, _17356))], clausify(difference)).
% 0.87/1.43
% 0.87/1.43 cnf('1',plain,[7 ^ [], 8 ^ []],start(6)).
% 0.87/1.43 cnf('1.1',plain,[-(7 ^ []), -(subset(4 ^ [], 5 ^ []))],extension(4)).
% 0.87/1.43 cnf('1.1.1',plain,[subset(4 ^ [], 5 ^ []), member(1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], 4 ^ []), -(member(1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], 5 ^ []))],extension(9,bind([[_14890, _15060, _14946], [4 ^ [], 1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], 5 ^ []]]))).
% 0.87/1.43 cnf('1.1.1.1',plain,[-(member(1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], 4 ^ [])), -(member(1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], difference(6 ^ [], 4 ^ []))), member(1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], 6 ^ [])],extension(12,bind([[_17356, _17295, _17416], [4 ^ [], 1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], 6 ^ []]]))).
% 0.87/1.43 cnf('1.1.1.1.1',plain,[member(1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], difference(6 ^ [], 4 ^ [])), -(subset(difference(6 ^ [], 5 ^ []), difference(6 ^ [], 4 ^ [])))],extension(8,bind([[_14890, _14946], [difference(6 ^ [], 5 ^ []), difference(6 ^ [], 4 ^ [])]]))).
% 0.87/1.43 cnf('1.1.1.1.1.1',plain,[subset(difference(6 ^ [], 5 ^ []), difference(6 ^ [], 4 ^ [])), -(7 ^ [])],extension(3)).
% 0.87/1.43 cnf('1.1.1.1.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.87/1.43 cnf('1.1.1.1.2',plain,[-(member(1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], 6 ^ [])), member(1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], difference(6 ^ [], 5 ^ []))],extension(10,bind([[_17295, _17416, _17356], [1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], 6 ^ [], 5 ^ []]]))).
% 0.87/1.43 cnf('1.1.1.1.2.1',plain,[-(member(1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], difference(6 ^ [], 5 ^ []))), -(subset(difference(6 ^ [], 5 ^ []), difference(6 ^ [], 4 ^ [])))],extension(7,bind([[_14890, _14946], [difference(6 ^ [], 5 ^ []), difference(6 ^ [], 4 ^ [])]]))).
% 0.87/1.43 cnf('1.1.1.1.2.1.1',plain,[subset(difference(6 ^ [], 5 ^ []), difference(6 ^ [], 4 ^ [])), -(7 ^ [])],extension(3)).
% 0.87/1.43 cnf('1.1.1.1.2.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.87/1.43 cnf('1.1.1.2',plain,[member(1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], 5 ^ []), member(1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], difference(6 ^ [], 5 ^ []))],extension(11,bind([[_17295, _17416, _17356], [1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], 6 ^ [], 5 ^ []]]))).
% 0.87/1.43 cnf('1.1.1.2.1',plain,[-(member(1 ^ [difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])], difference(6 ^ [], 5 ^ []))), -(subset(difference(6 ^ [], 5 ^ []), difference(6 ^ [], 4 ^ [])))],extension(7,bind([[_14890, _14946], [difference(6 ^ [], 5 ^ []), difference(6 ^ [], 4 ^ [])]]))).
% 0.87/1.43 cnf('1.1.1.2.1.1',plain,[subset(difference(6 ^ [], 5 ^ []), difference(6 ^ [], 4 ^ [])), -(7 ^ [])],extension(3)).
% 0.87/1.43 cnf('1.1.1.2.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.87/1.43 cnf('1.2',plain,[-(8 ^ []), -(subset(difference(6 ^ [], 5 ^ []), difference(6 ^ [], 4 ^ [])))],extension(2)).
% 0.87/1.43 cnf('1.2.1',plain,[subset(difference(6 ^ [], 5 ^ []), difference(6 ^ [], 4 ^ [])), member(1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 5 ^ [])), -(member(1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 4 ^ [])))],extension(9,bind([[_14890, _15060, _14946], [difference(6 ^ [], 5 ^ []), 1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 4 ^ [])]]))).
% 0.87/1.43 cnf('1.2.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 5 ^ []))), member(1 ^ [5 ^ [], 4 ^ []], 6 ^ []), -(member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(12,bind([[_17416, _17295, _17356], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], 5 ^ []]]))).
% 0.87/1.43 cnf('1.2.1.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 6 ^ [])), subset(4 ^ [], 6 ^ []), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])],extension(9,bind([[_14946, _15060, _14890], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], 4 ^ []]]))).
% 0.87/1.43 cnf('1.2.1.1.1.1',plain,[-(subset(4 ^ [], 6 ^ []))],extension(5)).
% 0.87/1.43 cnf('1.2.1.1.1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), -(subset(4 ^ [], 5 ^ []))],extension(7,bind([[_14890, _14946], [4 ^ [], 5 ^ []]]))).
% 0.87/1.43 cnf('1.2.1.1.1.2.1',plain,[subset(4 ^ [], 5 ^ []), -(8 ^ [])],extension(1)).
% 0.87/1.43 cnf('1.2.1.1.1.2.1.1',plain,[8 ^ []],reduction('1')).
% 0.87/1.43 cnf('1.2.1.1.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []), -(subset(4 ^ [], 5 ^ []))],extension(8,bind([[_14890, _14946], [4 ^ [], 5 ^ []]]))).
% 0.87/1.43 cnf('1.2.1.1.2.1',plain,[subset(4 ^ [], 5 ^ []), -(8 ^ [])],extension(1)).
% 0.87/1.43 cnf('1.2.1.1.2.1.1',plain,[8 ^ []],reduction('1')).
% 0.87/1.43 cnf('1.2.1.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 4 ^ [])), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])],extension(11,bind([[_17416, _17295, _17356], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], 4 ^ []]]))).
% 0.87/1.43 cnf('1.2.1.2.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), -(subset(4 ^ [], 5 ^ []))],extension(7,bind([[_14890, _14946], [4 ^ [], 5 ^ []]]))).
% 0.87/1.43 cnf('1.2.1.2.1.1',plain,[subset(4 ^ [], 5 ^ []), -(8 ^ [])],extension(1)).
% 0.87/1.43 cnf('1.2.1.2.1.1.1',plain,[8 ^ []],reduction('1')).
% 0.87/1.43 %-----------------------------------------------------
% 0.87/1.43
% 0.87/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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