TSTP Solution File: SET603+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET603+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 02:54:37 EDT 2022
% Result : Theorem 0.41s 1.40s
% Output : Proof 0.41s
% 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 : SET603+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n009.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 20:27:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.41/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/1.42
% 0.41/1.42 %-----------------------------------------------------
% 0.41/1.42 fof(thI30, conjecture, ! [_29868] : equal_set(difference(_29868, empty_set), _29868), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thI30)).
% 0.41/1.42 fof(subset, axiom, ! [_30005, _30008] : (subset(_30005, _30008) <=> ! [_30026] : (member(_30026, _30005) => member(_30026, _30008))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 0.41/1.42 fof(equal_set, axiom, ! [_30224, _30227] : (equal_set(_30224, _30227) <=> subset(_30224, _30227) & subset(_30227, _30224)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.41/1.42 fof(empty_set, axiom, ! [_30406] : ~ member(_30406, empty_set), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', empty_set)).
% 0.41/1.42 fof(difference, axiom, ! [_30520, _30523, _30526] : (member(_30520, difference(_30526, _30523)) <=> member(_30520, _30526) & ~ member(_30520, _30523)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', difference)).
% 0.41/1.42
% 0.41/1.42 cnf(1, plain, [equal_set(difference(4 ^ [], empty_set), 4 ^ [])], clausify(thI30)).
% 0.41/1.42 cnf(2, plain, [-(subset(_14525, _14581)), -(member(1 ^ [_14581, _14525], _14525))], clausify(subset)).
% 0.41/1.42 cnf(3, plain, [-(subset(_14525, _14581)), member(1 ^ [_14581, _14525], _14581)], clausify(subset)).
% 0.41/1.42 cnf(4, plain, [-(equal_set(_14986, _15037)), subset(_14986, _15037), subset(_15037, _14986)], clausify(equal_set)).
% 0.41/1.42 cnf(5, plain, [member(_16738, empty_set)], clausify(empty_set)).
% 0.41/1.42 cnf(6, plain, [member(_16930, difference(_17051, _16991)), -(member(_16930, _17051))], clausify(difference)).
% 0.41/1.42 cnf(7, plain, [-(member(_16930, difference(_17051, _16991))), member(_16930, _17051), -(member(_16930, _16991))], clausify(difference)).
% 0.41/1.42
% 0.41/1.42 cnf('1',plain,[equal_set(difference(4 ^ [], empty_set), 4 ^ [])],start(1)).
% 0.41/1.42 cnf('1.1',plain,[-(equal_set(difference(4 ^ [], empty_set), 4 ^ [])), subset(difference(4 ^ [], empty_set), 4 ^ []), subset(4 ^ [], difference(4 ^ [], empty_set))],extension(4,bind([[_15037, _14986], [4 ^ [], difference(4 ^ [], empty_set)]]))).
% 0.41/1.42 cnf('1.1.1',plain,[-(subset(difference(4 ^ [], empty_set), 4 ^ [])), -(member(1 ^ [4 ^ [], difference(4 ^ [], empty_set)], difference(4 ^ [], empty_set)))],extension(2,bind([[_14581, _14525], [4 ^ [], difference(4 ^ [], empty_set)]]))).
% 0.41/1.42 cnf('1.1.1.1',plain,[member(1 ^ [4 ^ [], difference(4 ^ [], empty_set)], difference(4 ^ [], empty_set)), -(member(1 ^ [4 ^ [], difference(4 ^ [], empty_set)], 4 ^ []))],extension(6,bind([[_16991, _16930, _17051], [empty_set, 1 ^ [4 ^ [], difference(4 ^ [], empty_set)], 4 ^ []]]))).
% 0.41/1.42 cnf('1.1.1.1.1',plain,[member(1 ^ [4 ^ [], difference(4 ^ [], empty_set)], 4 ^ []), -(subset(difference(4 ^ [], empty_set), 4 ^ []))],extension(3,bind([[_14525, _14581], [difference(4 ^ [], empty_set), 4 ^ []]]))).
% 0.41/1.42 cnf('1.1.1.1.1.1',plain,[subset(difference(4 ^ [], empty_set), 4 ^ [])],reduction('1.1')).
% 0.41/1.42 cnf('1.1.2',plain,[-(subset(4 ^ [], difference(4 ^ [], empty_set))), -(member(1 ^ [difference(4 ^ [], empty_set), 4 ^ []], 4 ^ []))],extension(2,bind([[_14581, _14525], [difference(4 ^ [], empty_set), 4 ^ []]]))).
% 0.41/1.42 cnf('1.1.2.1',plain,[member(1 ^ [difference(4 ^ [], empty_set), 4 ^ []], 4 ^ []), -(member(1 ^ [difference(4 ^ [], empty_set), 4 ^ []], difference(4 ^ [], empty_set))), -(member(1 ^ [difference(4 ^ [], empty_set), 4 ^ []], empty_set))],extension(7,bind([[_17051, _16930, _16991], [4 ^ [], 1 ^ [difference(4 ^ [], empty_set), 4 ^ []], empty_set]]))).
% 0.41/1.42 cnf('1.1.2.1.1',plain,[member(1 ^ [difference(4 ^ [], empty_set), 4 ^ []], difference(4 ^ [], empty_set)), -(subset(4 ^ [], difference(4 ^ [], empty_set)))],extension(3,bind([[_14525, _14581], [4 ^ [], difference(4 ^ [], empty_set)]]))).
% 0.41/1.42 cnf('1.1.2.1.1.1',plain,[subset(4 ^ [], difference(4 ^ [], empty_set))],reduction('1.1')).
% 0.41/1.42 cnf('1.1.2.1.2',plain,[member(1 ^ [difference(4 ^ [], empty_set), 4 ^ []], empty_set)],extension(5,bind([[_16738], [1 ^ [difference(4 ^ [], empty_set), 4 ^ []]]]))).
% 0.41/1.42 %-----------------------------------------------------
% 0.41/1.42
% 0.41/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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