TSTP Solution File: SET020+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET020+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n027.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 02:50:05 EDT 2022
% Result : Theorem 112.82s 109.47s
% Output : Proof 112.82s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET020+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 01:37:18 EDT 2022
% 0.14/0.36 % CPUTime :
% 112.82/109.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 112.82/109.48 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 112.82/109.49
% 112.82/109.49 %-----------------------------------------------------
% 112.82/109.49 fof(unique_1st_and_2nd_in_pair_of_sets1, conjecture, ! [_76575, _76578, _76581] : (member(_76575, universal_class) & member(_76578, universal_class) & _76581 = ordered_pair(_76575, _76578) => first(_76581) = _76575 & second(_76581) = _76578), file('/export/starexec/sandbox/benchmark/theBenchmark.p', unique_1st_and_2nd_in_pair_of_sets1)).
% 112.82/109.49 fof(first_second, axiom, ! [_76950, _76953] : (member(_76950, universal_class) & member(_76953, universal_class) => first(ordered_pair(_76950, _76953)) = _76950 & second(ordered_pair(_76950, _76953)) = _76953), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', first_second)).
% 112.82/109.49
% 112.82/109.49 cnf(1, plain, [-(member(8 ^ [], universal_class))], clausify(unique_1st_and_2nd_in_pair_of_sets1)).
% 112.82/109.49 cnf(2, plain, [-(member(9 ^ [], universal_class))], clausify(unique_1st_and_2nd_in_pair_of_sets1)).
% 112.82/109.49 cnf(3, plain, [-(10 ^ [] = ordered_pair(8 ^ [], 9 ^ []))], clausify(unique_1st_and_2nd_in_pair_of_sets1)).
% 112.82/109.49 cnf(4, plain, [first(10 ^ []) = 8 ^ [], second(10 ^ []) = 9 ^ []], clausify(unique_1st_and_2nd_in_pair_of_sets1)).
% 112.82/109.49 cnf(5, plain, [-(_23339 = _23450), _23339 = _23395, _23395 = _23450], theory(equality)).
% 112.82/109.49 cnf(6, plain, [_28940 = _28989, -(first(_28940) = first(_28989))], theory(equality)).
% 112.82/109.49 cnf(7, plain, [_33811 = _33860, -(second(_33811) = second(_33860))], theory(equality)).
% 112.82/109.49 cnf(8, plain, [-(first(ordered_pair(_39874, _39941)) = _39874), member(_39874, universal_class), member(_39941, universal_class)], clausify(first_second)).
% 112.82/109.49 cnf(9, plain, [-(second(ordered_pair(_39874, _39941)) = _39941), member(_39874, universal_class), member(_39941, universal_class)], clausify(first_second)).
% 112.82/109.49
% 112.82/109.49 cnf('1',plain,[first(10 ^ []) = 8 ^ [], second(10 ^ []) = 9 ^ []],start(4)).
% 112.82/109.49 cnf('1.1',plain,[-(first(10 ^ []) = 8 ^ []), first(10 ^ []) = first(ordered_pair(8 ^ [], 9 ^ [])), first(ordered_pair(8 ^ [], 9 ^ [])) = 8 ^ []],extension(5,bind([[_23339, _23395, _23450], [first(10 ^ []), first(ordered_pair(8 ^ [], 9 ^ [])), 8 ^ []]]))).
% 112.82/109.49 cnf('1.1.1',plain,[-(first(10 ^ []) = first(ordered_pair(8 ^ [], 9 ^ []))), 10 ^ [] = ordered_pair(8 ^ [], 9 ^ [])],extension(6,bind([[_28940, _28989], [10 ^ [], ordered_pair(8 ^ [], 9 ^ [])]]))).
% 112.82/109.49 cnf('1.1.1.1',plain,[-(10 ^ [] = ordered_pair(8 ^ [], 9 ^ []))],extension(3)).
% 112.82/109.49 cnf('1.1.2',plain,[-(first(ordered_pair(8 ^ [], 9 ^ [])) = 8 ^ []), member(8 ^ [], universal_class), member(9 ^ [], universal_class)],extension(8,bind([[_39874, _39941], [8 ^ [], 9 ^ []]]))).
% 112.82/109.49 cnf('1.1.2.1',plain,[-(member(8 ^ [], universal_class))],extension(1)).
% 112.82/109.49 cnf('1.1.2.2',plain,[-(member(9 ^ [], universal_class))],extension(2)).
% 112.82/109.49 cnf('1.2',plain,[-(second(10 ^ []) = 9 ^ []), second(10 ^ []) = second(ordered_pair(8 ^ [], 9 ^ [])), second(ordered_pair(8 ^ [], 9 ^ [])) = 9 ^ []],extension(5,bind([[_23339, _23395, _23450], [second(10 ^ []), second(ordered_pair(8 ^ [], 9 ^ [])), 9 ^ []]]))).
% 112.82/109.49 cnf('1.2.1',plain,[-(second(10 ^ []) = second(ordered_pair(8 ^ [], 9 ^ []))), 10 ^ [] = ordered_pair(8 ^ [], 9 ^ [])],extension(7,bind([[_33811, _33860], [10 ^ [], ordered_pair(8 ^ [], 9 ^ [])]]))).
% 112.82/109.49 cnf('1.2.1.1',plain,[-(10 ^ [] = ordered_pair(8 ^ [], 9 ^ []))],extension(3)).
% 112.82/109.49 cnf('1.2.2',plain,[-(second(ordered_pair(8 ^ [], 9 ^ [])) = 9 ^ []), member(8 ^ [], universal_class), member(9 ^ [], universal_class)],extension(9,bind([[_39874, _39941], [8 ^ [], 9 ^ []]]))).
% 112.82/109.49 cnf('1.2.2.1',plain,[-(member(8 ^ [], universal_class))],extension(1)).
% 112.82/109.49 cnf('1.2.2.2',plain,[-(member(9 ^ [], universal_class))],extension(2)).
% 112.82/109.49 %-----------------------------------------------------
% 112.82/109.50
% 112.82/109.50 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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