TSTP Solution File: SEU107+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU107+1 : TPTP v8.1.0. Released v3.2.0.
% 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 12:00:10 EDT 2022
% Result : Theorem 0.63s 1.41s
% Output : Proof 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU107+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % 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 Jun 19 19:23:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.63/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/1.43
% 0.63/1.43 %-----------------------------------------------------
% 0.63/1.43 fof(t18_finsub_1, conjecture, ! [_53149] : (~ empty(_53149) & preboolean(_53149) => in(empty_set, _53149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t18_finsub_1)).
% 0.63/1.43 fof(dt_k2_finsub_1, axiom, ! [_53333, _53336, _53339] : (~ empty(_53333) & preboolean(_53333) & element(_53336, _53333) & element(_53339, _53333) => element(prebool_difference(_53333, _53336, _53339), _53333)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_finsub_1)).
% 0.63/1.43 fof(existence_m1_subset_1, axiom, ! [_53590] : ? [_53598] : element(_53598, _53590), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_m1_subset_1)).
% 0.63/1.43 fof(redefinition_k2_finsub_1, axiom, ! [_53759, _53762, _53765] : (~ empty(_53759) & preboolean(_53759) & element(_53762, _53759) & element(_53765, _53759) => prebool_difference(_53759, _53762, _53765) = set_difference(_53762, _53765)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k2_finsub_1)).
% 0.63/1.43 fof(reflexivity_r1_tarski, axiom, ! [_54028, _54031] : subset(_54028, _54028), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 0.63/1.43 fof(t2_subset, axiom, ! [_54147, _54150] : (element(_54147, _54150) => empty(_54150) | in(_54147, _54150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_subset)).
% 0.63/1.43 fof(t37_xboole_1, axiom, ! [_54315, _54318] : (set_difference(_54315, _54318) = empty_set <=> subset(_54315, _54318)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t37_xboole_1)).
% 0.63/1.43
% 0.63/1.43 cnf(1, plain, [empty(11 ^ [])], clausify(t18_finsub_1)).
% 0.63/1.43 cnf(2, plain, [-(preboolean(11 ^ []))], clausify(t18_finsub_1)).
% 0.63/1.43 cnf(3, plain, [in(empty_set, 11 ^ [])], clausify(t18_finsub_1)).
% 0.63/1.43 cnf(4, plain, [-(element(prebool_difference(_26044, _26116, _26187), _26044)), -(empty(_26044)), preboolean(_26044), element(_26116, _26044), element(_26187, _26044)], clausify(dt_k2_finsub_1)).
% 0.63/1.43 cnf(5, plain, [-(element(1 ^ [_26758], _26758))], clausify(existence_m1_subset_1)).
% 0.63/1.43 cnf(6, plain, [-(prebool_difference(_31004, _31079, _31153) = set_difference(_31079, _31153)), -(empty(_31004)), preboolean(_31004), element(_31079, _31004), element(_31153, _31004)], clausify(redefinition_k2_finsub_1)).
% 0.63/1.43 cnf(7, plain, [-(subset(_31764, _31764))], clausify(reflexivity_r1_tarski)).
% 0.63/1.43 cnf(8, plain, [element(_32298, _32348), -(empty(_32348)), -(in(_32298, _32348))], clausify(t2_subset)).
% 0.63/1.43 cnf(9, plain, [-(set_difference(_32671, _32719) = empty_set), subset(_32671, _32719)], clausify(t37_xboole_1)).
% 0.63/1.43 cnf(10, plain, [-(_15282 = _15282)], theory(equality)).
% 0.63/1.43 cnf(11, plain, [-(_15714 = _15825), _15714 = _15770, _15770 = _15825], theory(equality)).
% 0.63/1.43 cnf(12, plain, [-(in(_19513, _19644)), in(_19446, _19579), _19446 = _19513, _19579 = _19644], theory(equality)).
% 0.63/1.43
% 0.63/1.43 cnf('1',plain,[in(empty_set, 11 ^ [])],start(3)).
% 0.63/1.43 cnf('1.1',plain,[-(in(empty_set, 11 ^ [])), in(prebool_difference(11 ^ [], 1 ^ [11 ^ []], 1 ^ [11 ^ []]), 11 ^ []), prebool_difference(11 ^ [], 1 ^ [11 ^ []], 1 ^ [11 ^ []]) = empty_set, 11 ^ [] = 11 ^ []],extension(12,bind([[_19446, _19513, _19579, _19644], [prebool_difference(11 ^ [], 1 ^ [11 ^ []], 1 ^ [11 ^ []]), empty_set, 11 ^ [], 11 ^ []]]))).
% 0.63/1.43 cnf('1.1.1',plain,[-(in(prebool_difference(11 ^ [], 1 ^ [11 ^ []], 1 ^ [11 ^ []]), 11 ^ [])), element(prebool_difference(11 ^ [], 1 ^ [11 ^ []], 1 ^ [11 ^ []]), 11 ^ []), -(empty(11 ^ []))],extension(8,bind([[_32298, _32348], [prebool_difference(11 ^ [], 1 ^ [11 ^ []], 1 ^ [11 ^ []]), 11 ^ []]]))).
% 0.63/1.43 cnf('1.1.1.1',plain,[-(element(prebool_difference(11 ^ [], 1 ^ [11 ^ []], 1 ^ [11 ^ []]), 11 ^ [])), -(empty(11 ^ [])), preboolean(11 ^ []), element(1 ^ [11 ^ []], 11 ^ []), element(1 ^ [11 ^ []], 11 ^ [])],extension(4,bind([[_26116, _26187, _26044], [1 ^ [11 ^ []], 1 ^ [11 ^ []], 11 ^ []]]))).
% 0.63/1.43 cnf('1.1.1.1.1',plain,[empty(11 ^ [])],extension(1)).
% 0.63/1.43 cnf('1.1.1.1.2',plain,[-(preboolean(11 ^ []))],extension(2)).
% 0.63/1.43 cnf('1.1.1.1.3',plain,[-(element(1 ^ [11 ^ []], 11 ^ []))],extension(5,bind([[_26758], [11 ^ []]]))).
% 0.63/1.43 cnf('1.1.1.1.4',plain,[-(element(1 ^ [11 ^ []], 11 ^ []))],extension(5,bind([[_26758], [11 ^ []]]))).
% 0.63/1.43 cnf('1.1.1.2',plain,[empty(11 ^ [])],extension(1)).
% 0.63/1.43 cnf('1.1.2',plain,[-(prebool_difference(11 ^ [], 1 ^ [11 ^ []], 1 ^ [11 ^ []]) = empty_set), prebool_difference(11 ^ [], 1 ^ [11 ^ []], 1 ^ [11 ^ []]) = set_difference(1 ^ [11 ^ []], 1 ^ [11 ^ []]), set_difference(1 ^ [11 ^ []], 1 ^ [11 ^ []]) = empty_set],extension(11,bind([[_15714, _15770, _15825], [prebool_difference(11 ^ [], 1 ^ [11 ^ []], 1 ^ [11 ^ []]), set_difference(1 ^ [11 ^ []], 1 ^ [11 ^ []]), empty_set]]))).
% 0.63/1.43 cnf('1.1.2.1',plain,[-(prebool_difference(11 ^ [], 1 ^ [11 ^ []], 1 ^ [11 ^ []]) = set_difference(1 ^ [11 ^ []], 1 ^ [11 ^ []])), -(empty(11 ^ [])), preboolean(11 ^ []), element(1 ^ [11 ^ []], 11 ^ []), element(1 ^ [11 ^ []], 11 ^ [])],extension(6,bind([[_31079, _31153, _31004], [1 ^ [11 ^ []], 1 ^ [11 ^ []], 11 ^ []]]))).
% 0.63/1.43 cnf('1.1.2.1.1',plain,[empty(11 ^ [])],extension(1)).
% 0.63/1.43 cnf('1.1.2.1.2',plain,[-(preboolean(11 ^ []))],extension(2)).
% 0.63/1.43 cnf('1.1.2.1.3',plain,[-(element(1 ^ [11 ^ []], 11 ^ []))],extension(5,bind([[_26758], [11 ^ []]]))).
% 0.63/1.43 cnf('1.1.2.1.4',plain,[-(element(1 ^ [11 ^ []], 11 ^ []))],extension(5,bind([[_26758], [11 ^ []]]))).
% 0.63/1.43 cnf('1.1.2.2',plain,[-(set_difference(1 ^ [11 ^ []], 1 ^ [11 ^ []]) = empty_set), subset(1 ^ [11 ^ []], 1 ^ [11 ^ []])],extension(9,bind([[_32671, _32719], [1 ^ [11 ^ []], 1 ^ [11 ^ []]]]))).
% 0.63/1.43 cnf('1.1.2.2.1',plain,[-(subset(1 ^ [11 ^ []], 1 ^ [11 ^ []]))],extension(7,bind([[_31764], [1 ^ [11 ^ []]]]))).
% 0.63/1.43 cnf('1.1.3',plain,[-(11 ^ [] = 11 ^ [])],extension(10,bind([[_15282], [11 ^ []]]))).
% 0.63/1.43 %-----------------------------------------------------
% 0.63/1.43
% 0.63/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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