TSTP Solution File: SEU137+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU137+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n019.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 12:00:22 EDT 2022
% Result : Theorem 0.41s 1.41s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU137+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n019.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 : Mon Jun 20 09:11:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.41/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/1.42
% 0.41/1.42 %-----------------------------------------------------
% 0.41/1.42 fof(t45_xboole_1, conjecture, ! [_61539, _61542] : (subset(_61539, _61542) => _61542 = set_union2(_61539, set_difference(_61542, _61539))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t45_xboole_1)).
% 0.41/1.42 fof(d2_xboole_0, axiom, ! [_61756, _61759, _61762] : (_61762 = set_union2(_61756, _61759) <=> ! [_61783] : (in(_61783, _61762) <=> in(_61783, _61756) | in(_61783, _61759))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_xboole_0)).
% 0.41/1.42 fof(d3_tarski, axiom, ! [_62037, _62040] : (subset(_62037, _62040) <=> ! [_62058] : (in(_62058, _62037) => in(_62058, _62040))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 0.41/1.42 fof(d4_xboole_0, axiom, ! [_62247, _62250, _62253] : (_62253 = set_difference(_62247, _62250) <=> ! [_62274] : (in(_62274, _62253) <=> in(_62274, _62247) & ~ in(_62274, _62250))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_xboole_0)).
% 0.41/1.42
% 0.41/1.42 cnf(1, plain, [-(subset(11 ^ [], 12 ^ []))], clausify(t45_xboole_1)).
% 0.41/1.42 cnf(2, plain, [12 ^ [] = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))], clausify(t45_xboole_1)).
% 0.41/1.42 cnf(3, plain, [-(_18421 = _18421)], theory(equality)).
% 0.41/1.42 cnf(4, plain, [-(_25317 = set_union2(_25178, _25248)), in(2 ^ [_25317, _25248, _25178], _25317), in(2 ^ [_25317, _25248, _25178], _25178)], clausify(d2_xboole_0)).
% 0.41/1.42 cnf(5, plain, [-(_25317 = set_union2(_25178, _25248)), in(2 ^ [_25317, _25248, _25178], _25317), in(2 ^ [_25317, _25248, _25178], _25248)], clausify(d2_xboole_0)).
% 0.41/1.42 cnf(6, plain, [-(_25317 = set_union2(_25178, _25248)), -(in(2 ^ [_25317, _25248, _25178], _25317)), -(in(2 ^ [_25317, _25248, _25178], _25178)), -(in(2 ^ [_25317, _25248, _25178], _25248))], clausify(d2_xboole_0)).
% 0.41/1.42 cnf(7, plain, [subset(_25863, _25919), in(_26033, _25863), -(in(_26033, _25919))], clausify(d3_tarski)).
% 0.41/1.42 cnf(8, plain, [_27152 = set_difference(_27009, _27081), in(_27318, _27152), -(in(_27318, _27009))], clausify(d4_xboole_0)).
% 0.41/1.42 cnf(9, plain, [_27152 = set_difference(_27009, _27081), -(in(_27318, _27152)), in(_27318, _27009), -(in(_27318, _27081))], clausify(d4_xboole_0)).
% 0.41/1.42
% 0.41/1.42 cnf('1',plain,[12 ^ [] = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))],start(2)).
% 0.41/1.42 cnf('1.1',plain,[-(12 ^ [] = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))), -(in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 12 ^ [])), -(in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 11 ^ [])), -(in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], set_difference(12 ^ [], 11 ^ [])))],extension(6,bind([[_25317, _25178, _25248], [12 ^ [], 11 ^ [], set_difference(12 ^ [], 11 ^ [])]]))).
% 0.41/1.42 cnf('1.1.1',plain,[in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 12 ^ []), set_difference(12 ^ [], 11 ^ []) = set_difference(12 ^ [], 11 ^ []), -(in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], set_difference(12 ^ [], 11 ^ []))), -(in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 11 ^ []))],extension(9,bind([[_27009, _27152, _27318, _27081], [12 ^ [], set_difference(12 ^ [], 11 ^ []), 2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 11 ^ []]]))).
% 0.41/1.42 cnf('1.1.1.1',plain,[-(set_difference(12 ^ [], 11 ^ []) = set_difference(12 ^ [], 11 ^ []))],extension(3,bind([[_18421], [set_difference(12 ^ [], 11 ^ [])]]))).
% 0.41/1.42 cnf('1.1.1.2',plain,[in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], set_difference(12 ^ [], 11 ^ [])), -(12 ^ [] = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))), in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 12 ^ [])],extension(5,bind([[_25248, _25178, _25317], [set_difference(12 ^ [], 11 ^ []), 11 ^ [], 12 ^ []]]))).
% 0.41/1.42 cnf('1.1.1.2.1',plain,[12 ^ [] = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))],extension(2)).
% 0.41/1.42 cnf('1.1.1.2.2',plain,[-(in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 12 ^ []))],reduction('1.1')).
% 0.41/1.42 cnf('1.1.1.3',plain,[in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 11 ^ []), -(12 ^ [] = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))), in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 12 ^ [])],extension(4,bind([[_25248, _25178, _25317], [set_difference(12 ^ [], 11 ^ []), 11 ^ [], 12 ^ []]]))).
% 0.41/1.42 cnf('1.1.1.3.1',plain,[12 ^ [] = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))],extension(2)).
% 0.41/1.42 cnf('1.1.1.3.2',plain,[-(in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 12 ^ []))],reduction('1.1')).
% 0.41/1.42 cnf('1.1.2',plain,[in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 11 ^ []), -(12 ^ [] = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))), in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 12 ^ [])],extension(4,bind([[_25248, _25178, _25317], [set_difference(12 ^ [], 11 ^ []), 11 ^ [], 12 ^ []]]))).
% 0.41/1.42 cnf('1.1.2.1',plain,[12 ^ [] = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))],extension(2)).
% 0.41/1.42 cnf('1.1.2.2',plain,[-(in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 12 ^ [])), subset(11 ^ [], 12 ^ []), in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 11 ^ [])],extension(7,bind([[_25919, _26033, _25863], [12 ^ [], 2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 11 ^ []]]))).
% 0.41/1.42 cnf('1.1.2.2.1',plain,[-(subset(11 ^ [], 12 ^ []))],extension(1)).
% 0.41/1.42 cnf('1.1.2.2.2',plain,[-(in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 11 ^ []))],reduction('1.1')).
% 0.41/1.42 cnf('1.1.3',plain,[in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], set_difference(12 ^ [], 11 ^ [])), set_difference(12 ^ [], 11 ^ []) = set_difference(12 ^ [], 11 ^ []), -(in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 12 ^ []))],extension(8,bind([[_27152, _27081, _27318, _27009], [set_difference(12 ^ [], 11 ^ []), 11 ^ [], 2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 12 ^ []]]))).
% 0.41/1.42 cnf('1.1.3.1',plain,[-(set_difference(12 ^ [], 11 ^ []) = set_difference(12 ^ [], 11 ^ []))],extension(3,bind([[_18421], [set_difference(12 ^ [], 11 ^ [])]]))).
% 0.41/1.42 cnf('1.1.3.2',plain,[in(2 ^ [12 ^ [], set_difference(12 ^ [], 11 ^ []), 11 ^ []], 12 ^ [])],lemmata('1.1')).
% 0.41/1.42 %-----------------------------------------------------
% 0.41/1.43
% 0.41/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------