TSTP Solution File: SET606+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET606+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n004.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 : 300s
% DateTime : Fri May 19 11:56:06 EDT 2023
% Result : Theorem 0.48s 1.39s
% Output : Proof 0.48s
% 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 : SET606+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 19:07:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.48/1.39
% 0.48/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.48/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/1.39 %-----------------------------------------------------
% 0.48/1.39 ncf(matrix, plain, [(193 ^ _27342) ^ [] : [difference(190 ^ [], intersection(190 ^ [], 191 ^ [])) = difference(190 ^ [], 191 ^ [])], (48 ^ _27342) ^ [_29014, _29016, _29018, _29020] : [-(intersection(_29020, _29016) = intersection(_29018, _29014)), _29020 = _29018, _29016 = _29014], (58 ^ _27342) ^ [_29353, _29355, _29357, _29359] : [-(difference(_29359, _29355) = difference(_29357, _29353)), _29359 = _29357, _29355 = _29353], (2 ^ _27342) ^ [_27486] : [-(_27486 = _27486)], (4 ^ _27342) ^ [_27593, _27595] : [_27595 = _27593, -(_27593 = _27595)], (10 ^ _27342) ^ [_27797, _27799, _27801] : [-(_27801 = _27797), _27801 = _27799, _27799 = _27797], (20 ^ _27342) ^ [_28138, _28140, _28142, _28144] : [-(member(_28142, _28138)), member(_28144, _28140), _28144 = _28142, _28140 = _28138], (34 ^ _27342) ^ [_28562, _28564, _28566, _28568] : [-(subset(_28566, _28562)), subset(_28568, _28564), _28568 = _28566, _28564 = _28562], (68 ^ _27342) ^ [_29690, _29692] : [-(_29692 = _29690), 72 ^ _27342 : [(73 ^ _27342) ^ [] : [-(member(69 ^ [_29690, _29692], _29692))], (75 ^ _27342) ^ [] : [member(69 ^ [_29690, _29692], _29690)]], 76 ^ _27342 : [(77 ^ _27342) ^ [] : [-(member(69 ^ [_29690, _29692], _29690))], (79 ^ _27342) ^ [] : [member(69 ^ [_29690, _29692], _29692)]]], (83 ^ _27342) ^ [_30263, _30265, _30267] : [member(_30263, intersection(_30267, _30265)), 86 ^ _27342 : [(87 ^ _27342) ^ [] : [-(member(_30263, _30267))], (89 ^ _27342) ^ [] : [-(member(_30263, _30265))]]], (91 ^ _27342) ^ [_30514, _30516, _30518] : [-(member(_30514, intersection(_30518, _30516))), member(_30514, _30518), member(_30514, _30516)], (101 ^ _27342) ^ [_30874, _30876, _30878] : [member(_30874, difference(_30878, _30876)), 104 ^ _27342 : [(105 ^ _27342) ^ [] : [-(member(_30874, _30878))], (107 ^ _27342) ^ [] : [member(_30874, _30876)]]], (109 ^ _27342) ^ [_31126, _31128, _31130] : [-(member(_31126, difference(_31130, _31128))), member(_31126, _31130), -(member(_31126, _31128))], (119 ^ _27342) ^ [_31475, _31477] : [_31477 = _31475, 122 ^ _27342 : [(123 ^ _27342) ^ [] : [-(subset(_31477, _31475))], (125 ^ _27342) ^ [] : [-(subset(_31475, _31477))]]], (127 ^ _27342) ^ [_31712, _31714] : [-(_31714 = _31712), subset(_31714, _31712), subset(_31712, _31714)], (137 ^ _27342) ^ [_31998, _32000] : [-(intersection(_32000, _31998) = intersection(_31998, _32000))], (189 ^ _27342) ^ [_33842] : [-(subset(_33842, _33842))], (180 ^ _27342) ^ [_33534, _33536] : [182 ^ _27342 : [(183 ^ _27342) ^ [] : [-(member(181 ^ [_33534, _33536], _33536))], (185 ^ _27342) ^ [] : [member(181 ^ [_33534, _33536], _33534)]], -(subset(_33536, _33534))], (170 ^ _27342) ^ [_33220, _33222] : [subset(_33222, _33220), 173 ^ _27342 : [(174 ^ _27342) ^ [_33357] : [member(_33357, _33222), -(member(_33357, _33220))]]], (155 ^ _27342) ^ [_32659, _32661] : [-(_32661 = _32659), 159 ^ _27342 : [(160 ^ _27342) ^ [] : [-(member(156 ^ [_32659, _32661], _32661))], (162 ^ _27342) ^ [] : [member(156 ^ [_32659, _32661], _32659)]], 163 ^ _27342 : [(164 ^ _27342) ^ [] : [-(member(156 ^ [_32659, _32661], _32659))], (166 ^ _27342) ^ [] : [member(156 ^ [_32659, _32661], _32661)]]], (139 ^ _27342) ^ [_32142, _32144] : [_32144 = _32142, 142 ^ _27342 : [(143 ^ _27342) ^ [_32308] : [member(_32308, _32144), -(member(_32308, _32142))], (149 ^ _27342) ^ [_32480] : [member(_32480, _32142), -(member(_32480, _32144))]]]], input).
% 0.48/1.39 ncf('1',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], difference(190 ^ [], 191 ^ [])), 107 : member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], 191 ^ [])],start(101 ^ 0,bind([[_30874, _30876, _30878], [69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], 191 ^ [], 190 ^ []]]))).
% 0.48/1.39 ncf('1.1',plain,[-(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], difference(190 ^ [], 191 ^ []))), -(difference(190 ^ [], intersection(190 ^ [], 191 ^ [])) = difference(190 ^ [], 191 ^ [])), 73 : -(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], difference(190 ^ [], intersection(190 ^ [], 191 ^ []))))],extension(68 ^ 1,bind([[_29690, _29692], [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))]]))).
% 0.48/1.39 ncf('1.1.1',plain,[difference(190 ^ [], intersection(190 ^ [], 191 ^ [])) = difference(190 ^ [], 191 ^ [])],extension(193 ^ 2)).
% 0.48/1.39 ncf('1.1.2',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], difference(190 ^ [], intersection(190 ^ [], 191 ^ []))), 107 : member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], intersection(190 ^ [], 191 ^ []))],extension(101 ^ 4,bind([[_30874, _30876, _30878], [69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], intersection(190 ^ [], 191 ^ []), 190 ^ []]]))).
% 0.48/1.39 ncf('1.1.2.1',plain,[-(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], intersection(190 ^ [], 191 ^ []))), member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], 190 ^ []), member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], 191 ^ [])],extension(91 ^ 7,bind([[_30514, _30516, _30518], [69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], 191 ^ [], 190 ^ []]]))).
% 0.48/1.39 ncf('1.1.2.1.1',plain,[-(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], 190 ^ []))],extension(105 ^ 8)).
% 0.48/1.39 ncf('1.1.2.1.2',plain,[-(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], 191 ^ [])), -(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], difference(190 ^ [], 191 ^ []))), member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], 190 ^ [])],extension(109 ^ 8,bind([[_31126, _31128, _31130], [69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], 191 ^ [], 190 ^ []]]))).
% 0.48/1.39 ncf('1.1.2.1.2.1',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], difference(190 ^ [], 191 ^ []))],reduction('1')).
% 0.48/1.39 ncf('1.1.2.1.2.2',plain,[-(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], 190 ^ []))],lemmata('[2, 1, 1].x')).
% 0.48/1.39 ncf('1.2',plain,[-(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], 191 ^ [])), member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], intersection(190 ^ [], 191 ^ []))],extension(83 ^ 3,bind([[_30263, _30265, _30267], [69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], 191 ^ [], 190 ^ []]]))).
% 0.48/1.39 ncf('1.2.1',plain,[-(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], intersection(190 ^ [], 191 ^ []))), -(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], difference(190 ^ [], intersection(190 ^ [], 191 ^ [])))), member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], 190 ^ [])],extension(109 ^ 4,bind([[_31126, _31128, _31130], [69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], intersection(190 ^ [], 191 ^ []), 190 ^ []]]))).
% 0.48/1.39 ncf('1.2.1.1',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], difference(190 ^ [], intersection(190 ^ [], 191 ^ []))), -(difference(190 ^ [], intersection(190 ^ [], 191 ^ [])) = difference(190 ^ [], 191 ^ [])), 75 : member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], difference(190 ^ [], 191 ^ []))],extension(68 ^ 5,bind([[_29690, _29692], [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))]]))).
% 0.48/1.39 ncf('1.2.1.1.1',plain,[difference(190 ^ [], intersection(190 ^ [], 191 ^ [])) = difference(190 ^ [], 191 ^ [])],extension(193 ^ 6)).
% 0.48/1.39 ncf('1.2.1.1.2',plain,[-(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], difference(190 ^ [], 191 ^ [])))],lemmata('x')).
% 0.48/1.39 ncf('1.2.1.2',plain,[-(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(190 ^ [], intersection(190 ^ [], 191 ^ []))], 190 ^ []))],extension(105 ^ 5)).
% 0.48/1.39 %-----------------------------------------------------
% 0.48/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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