TSTP Solution File: SET063+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET063+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 02:50:48 EDT 2022
% Result : Theorem 0.40s 1.40s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET063+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 10:24:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.40/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/1.41
% 0.46/1.41 %-----------------------------------------------------
% 0.46/1.41 fof(thI17, conjecture, ! [_28793] : equal_set(intersection(_28793, empty_set), empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI17)).
% 0.46/1.41 fof(subset, axiom, ! [_28930, _28933] : (subset(_28930, _28933) <=> ! [_28951] : (member(_28951, _28930) => member(_28951, _28933))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.46/1.41 fof(equal_set, axiom, ! [_29149, _29152] : (equal_set(_29149, _29152) <=> subset(_29149, _29152) & subset(_29152, _29149)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.46/1.41 fof(intersection, axiom, ! [_29326, _29329, _29332] : (member(_29326, intersection(_29329, _29332)) <=> member(_29326, _29329) & member(_29326, _29332)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', intersection)).
% 0.46/1.41 fof(empty_set, axiom, ! [_29531] : ~ member(_29531, empty_set), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', empty_set)).
% 0.46/1.41
% 0.46/1.41 cnf(1, plain, [equal_set(intersection(4 ^ [], empty_set), empty_set)], clausify(thI17)).
% 0.46/1.41 cnf(2, plain, [-(subset(_14564, _14620)), -(member(1 ^ [_14620, _14564], _14564))], clausify(subset)).
% 0.46/1.41 cnf(3, plain, [-(subset(_14564, _14620)), member(1 ^ [_14620, _14564], _14620)], clausify(subset)).
% 0.46/1.41 cnf(4, plain, [-(equal_set(_15025, _15076)), subset(_15025, _15076), subset(_15076, _15025)], clausify(equal_set)).
% 0.46/1.41 cnf(5, plain, [member(_15751, intersection(_15810, _15868)), -(member(_15751, _15868))], clausify(intersection)).
% 0.46/1.41 cnf(6, plain, [member(_16777, empty_set)], clausify(empty_set)).
% 0.46/1.41
% 0.46/1.41 cnf('1',plain,[equal_set(intersection(4 ^ [], empty_set), empty_set)],start(1)).
% 0.46/1.41 cnf('1.1',plain,[-(equal_set(intersection(4 ^ [], empty_set), empty_set)), subset(intersection(4 ^ [], empty_set), empty_set), subset(empty_set, intersection(4 ^ [], empty_set))],extension(4,bind([[_15076, _15025], [empty_set, intersection(4 ^ [], empty_set)]]))).
% 0.46/1.41 cnf('1.1.1',plain,[-(subset(intersection(4 ^ [], empty_set), empty_set)), -(member(1 ^ [empty_set, intersection(4 ^ [], empty_set)], intersection(4 ^ [], empty_set)))],extension(2,bind([[_14620, _14564], [empty_set, intersection(4 ^ [], empty_set)]]))).
% 0.46/1.41 cnf('1.1.1.1',plain,[member(1 ^ [empty_set, intersection(4 ^ [], empty_set)], intersection(4 ^ [], empty_set)), -(member(1 ^ [empty_set, intersection(4 ^ [], empty_set)], empty_set))],extension(5,bind([[_15810, _15751, _15868], [4 ^ [], 1 ^ [empty_set, intersection(4 ^ [], empty_set)], empty_set]]))).
% 0.46/1.41 cnf('1.1.1.1.1',plain,[member(1 ^ [empty_set, intersection(4 ^ [], empty_set)], empty_set), -(subset(intersection(4 ^ [], empty_set), empty_set))],extension(3,bind([[_14564, _14620], [intersection(4 ^ [], empty_set), empty_set]]))).
% 0.46/1.41 cnf('1.1.1.1.1.1',plain,[subset(intersection(4 ^ [], empty_set), empty_set)],reduction('1.1')).
% 0.46/1.41 cnf('1.1.2',plain,[-(subset(empty_set, intersection(4 ^ [], empty_set))), -(member(1 ^ [intersection(4 ^ [], empty_set), empty_set], empty_set))],extension(2,bind([[_14620, _14564], [intersection(4 ^ [], empty_set), empty_set]]))).
% 0.46/1.41 cnf('1.1.2.1',plain,[member(1 ^ [intersection(4 ^ [], empty_set), empty_set], empty_set)],extension(6,bind([[_16777], [1 ^ [intersection(4 ^ [], empty_set), empty_set]]]))).
% 0.46/1.41 %-----------------------------------------------------
% 0.46/1.42
% 0.46/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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