TSTP Solution File: SET906+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET906+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n013.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 02:56:57 EDT 2022
% Result : Theorem 0.40s 1.40s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET906+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n013.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 22:39:44 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
% 0.40/1.41
% 0.40/1.41 %-----------------------------------------------------
% 0.40/1.41 fof(t47_zfmisc_1, conjecture, ! [_24289, _24292, _24295] : (subset(set_union2(unordered_pair(_24289, _24292), _24295), _24295) => in(_24289, _24295)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t47_zfmisc_1)).
% 0.40/1.41 fof(d2_tarski, axiom, ! [_24522, _24525, _24528] : (_24528 = unordered_pair(_24522, _24525) <=> ! [_24549] : (in(_24549, _24528) <=> _24549 = _24522 | _24549 = _24525)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 0.40/1.41 fof(d3_tarski, axiom, ! [_24782, _24785] : (subset(_24782, _24785) <=> ! [_24803] : (in(_24803, _24782) => in(_24803, _24785))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.40/1.41 fof(d2_xboole_0, axiom, ! [_24986, _24989, _24992] : (_24992 = set_union2(_24986, _24989) <=> ! [_25013] : (in(_25013, _24992) <=> in(_25013, _24986) | in(_25013, _24989))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 0.40/1.41
% 0.40/1.41 cnf(1, plain, [-(subset(set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []), 8 ^ []))], clausify(t47_zfmisc_1)).
% 0.40/1.41 cnf(2, plain, [in(6 ^ [], 8 ^ [])], clausify(t47_zfmisc_1)).
% 0.40/1.41 cnf(3, plain, [-(set_union2(_9594, _9727) = set_union2(_9661, _9792)), _9594 = _9661, _9727 = _9792], theory(equality)).
% 0.40/1.41 cnf(4, plain, [-(_7074 = _7074)], theory(equality)).
% 0.40/1.41 cnf(5, plain, [_11972 = unordered_pair(_11833, _11903), -(in(_12136, _11972)), _12136 = _11833], clausify(d2_tarski)).
% 0.40/1.41 cnf(6, plain, [subset(_13203, _13259), in(_13373, _13203), -(in(_13373, _13259))], clausify(d3_tarski)).
% 0.40/1.41 cnf(7, plain, [_12657 = set_union2(_12518, _12588), -(in(_12821, _12657)), in(_12821, _12518)], clausify(d2_xboole_0)).
% 0.40/1.41
% 0.40/1.41 cnf('1',plain,[in(6 ^ [], 8 ^ [])],start(2)).
% 0.40/1.41 cnf('1.1',plain,[-(in(6 ^ [], 8 ^ [])), subset(set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []), 8 ^ []), in(6 ^ [], set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []))],extension(6,bind([[_13259, _13373, _13203], [8 ^ [], 6 ^ [], set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ [])]]))).
% 0.40/1.41 cnf('1.1.1',plain,[-(subset(set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []), 8 ^ []))],extension(1)).
% 0.40/1.41 cnf('1.1.2',plain,[-(in(6 ^ [], set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []))), set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []) = set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []), in(6 ^ [], unordered_pair(6 ^ [], 7 ^ []))],extension(7,bind([[_12657, _12588, _12821, _12518], [set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []), 8 ^ [], 6 ^ [], unordered_pair(6 ^ [], 7 ^ [])]]))).
% 0.40/1.41 cnf('1.1.2.1',plain,[-(set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []) = set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ [])), unordered_pair(6 ^ [], 7 ^ []) = unordered_pair(6 ^ [], 7 ^ []), 8 ^ [] = 8 ^ []],extension(3,bind([[_9594, _9661, _9727, _9792], [unordered_pair(6 ^ [], 7 ^ []), unordered_pair(6 ^ [], 7 ^ []), 8 ^ [], 8 ^ []]]))).
% 0.40/1.41 cnf('1.1.2.1.1',plain,[-(unordered_pair(6 ^ [], 7 ^ []) = unordered_pair(6 ^ [], 7 ^ []))],extension(4,bind([[_7074], [unordered_pair(6 ^ [], 7 ^ [])]]))).
% 0.40/1.41 cnf('1.1.2.1.2',plain,[-(8 ^ [] = 8 ^ [])],extension(4,bind([[_7074], [8 ^ []]]))).
% 0.40/1.41 cnf('1.1.2.2',plain,[-(in(6 ^ [], unordered_pair(6 ^ [], 7 ^ []))), unordered_pair(6 ^ [], 7 ^ []) = unordered_pair(6 ^ [], 7 ^ []), 6 ^ [] = 6 ^ []],extension(5,bind([[_11972, _11903, _12136, _11833], [unordered_pair(6 ^ [], 7 ^ []), 7 ^ [], 6 ^ [], 6 ^ []]]))).
% 0.40/1.41 cnf('1.1.2.2.1',plain,[-(unordered_pair(6 ^ [], 7 ^ []) = unordered_pair(6 ^ [], 7 ^ []))],extension(4,bind([[_7074], [unordered_pair(6 ^ [], 7 ^ [])]]))).
% 0.40/1.41 cnf('1.1.2.2.2',plain,[-(6 ^ [] = 6 ^ [])],extension(4,bind([[_7074], [6 ^ []]]))).
% 0.40/1.41 %-----------------------------------------------------
% 0.40/1.42
% 0.40/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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