TSTP Solution File: SET347+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET347+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n009.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 02:53:05 EDT 2022
% Result : Theorem 0.42s 1.40s
% Output : Proof 0.42s
% 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 : SET347+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n009.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 : Mon Jul 11 03:08:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.41
% 0.42/1.41 %-----------------------------------------------------
% 0.42/1.41 fof(thI38, conjecture, equal_set(sum(empty_set), empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thI38)).
% 0.42/1.41 fof(subset, axiom, ! [_28394, _28397] : (subset(_28394, _28397) <=> ! [_28415] : (member(_28415, _28394) => member(_28415, _28397))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 0.42/1.41 fof(equal_set, axiom, ! [_28602, _28605] : (equal_set(_28602, _28605) <=> subset(_28602, _28605) & subset(_28605, _28602)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.42/1.41 fof(empty_set, axiom, ! [_28784] : ~ member(_28784, empty_set), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', empty_set)).
% 0.42/1.41 fof(sum, axiom, ! [_28906, _28909] : (member(_28906, sum(_28909)) <=> ? [_28931] : (member(_28931, _28909) & member(_28906, _28931))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', sum)).
% 0.42/1.41
% 0.42/1.41 cnf(1, plain, [equal_set(sum(empty_set), empty_set)], clausify(thI38)).
% 0.42/1.41 cnf(2, plain, [-(subset(_14463, _14519)), -(member(1 ^ [_14519, _14463], _14463))], clausify(subset)).
% 0.42/1.41 cnf(3, plain, [-(equal_set(_14924, _14975)), subset(_14924, _14975), subset(_14975, _14924)], clausify(equal_set)).
% 0.42/1.41 cnf(4, plain, [member(_16676, empty_set)], clausify(empty_set)).
% 0.42/1.41 cnf(5, plain, [member(_18246, sum(_18304)), -(member(2 ^ [_18304, _18246], _18304))], clausify(sum)).
% 0.42/1.41
% 0.42/1.41 cnf('1',plain,[equal_set(sum(empty_set), empty_set)],start(1)).
% 0.42/1.41 cnf('1.1',plain,[-(equal_set(sum(empty_set), empty_set)), subset(sum(empty_set), empty_set), subset(empty_set, sum(empty_set))],extension(3,bind([[_14975, _14924], [empty_set, sum(empty_set)]]))).
% 0.42/1.41 cnf('1.1.1',plain,[-(subset(sum(empty_set), empty_set)), -(member(1 ^ [empty_set, sum(empty_set)], sum(empty_set)))],extension(2,bind([[_14519, _14463], [empty_set, sum(empty_set)]]))).
% 0.42/1.41 cnf('1.1.1.1',plain,[member(1 ^ [empty_set, sum(empty_set)], sum(empty_set)), -(member(2 ^ [empty_set, 1 ^ [empty_set, sum(empty_set)]], empty_set))],extension(5,bind([[_18246, _18304], [1 ^ [empty_set, sum(empty_set)], empty_set]]))).
% 0.42/1.41 cnf('1.1.1.1.1',plain,[member(2 ^ [empty_set, 1 ^ [empty_set, sum(empty_set)]], empty_set)],extension(4,bind([[_16676], [2 ^ [empty_set, 1 ^ [empty_set, sum(empty_set)]]]]))).
% 0.42/1.41 cnf('1.1.2',plain,[-(subset(empty_set, sum(empty_set))), -(member(1 ^ [sum(empty_set), empty_set], empty_set))],extension(2,bind([[_14519, _14463], [sum(empty_set), empty_set]]))).
% 0.42/1.41 cnf('1.1.2.1',plain,[member(1 ^ [sum(empty_set), empty_set], empty_set)],extension(4,bind([[_16676], [1 ^ [sum(empty_set), empty_set]]]))).
% 0.42/1.41 %-----------------------------------------------------
% 0.42/1.42
% 0.42/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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