TSTP Solution File: SEU131+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU131+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 12:00:19 EDT 2022
% Result : Theorem 0.97s 1.40s
% Output : Proof 0.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU131+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 01:10:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.97/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/1.41
% 0.97/1.41 %-----------------------------------------------------
% 0.97/1.41 fof(l32_xboole_1, conjecture, ! [_55193, _55196] : (set_difference(_55193, _55196) = empty_set <=> subset(_55193, _55196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l32_xboole_1)).
% 0.97/1.41 fof(d1_xboole_0, axiom, ! [_55422] : (_55422 = empty_set <=> ! [_55436] : ~ in(_55436, _55422)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_xboole_0)).
% 0.97/1.41 fof(d3_tarski, axiom, ! [_55608, _55611] : (subset(_55608, _55611) <=> ! [_55629] : (in(_55629, _55608) => in(_55629, _55611))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 0.97/1.41 fof(d4_xboole_0, axiom, ! [_55842, _55845, _55848] : (_55848 = set_difference(_55842, _55845) <=> ! [_55869] : (in(_55869, _55848) <=> in(_55869, _55842) & ~ in(_55869, _55845))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_xboole_0)).
% 0.97/1.41
% 0.97/1.41 cnf(1, plain, [-(14 ^ []), set_difference(11 ^ [], 12 ^ []) = empty_set], clausify(l32_xboole_1)).
% 0.97/1.41 cnf(2, plain, [-(14 ^ []), -(subset(11 ^ [], 12 ^ []))], clausify(l32_xboole_1)).
% 0.97/1.41 cnf(3, plain, [-(13 ^ []), subset(11 ^ [], 12 ^ [])], clausify(l32_xboole_1)).
% 0.97/1.41 cnf(4, plain, [-(13 ^ []), -(set_difference(11 ^ [], 12 ^ []) = empty_set)], clausify(l32_xboole_1)).
% 0.97/1.41 cnf(5, plain, [13 ^ [], 14 ^ []], clausify(l32_xboole_1)).
% 0.97/1.41 cnf(6, plain, [-(_16479 = _16479)], theory(equality)).
% 0.97/1.41 cnf(7, plain, [_22912 = empty_set, in(_23018, _22912)], clausify(d1_xboole_0)).
% 0.97/1.41 cnf(8, plain, [-(_22912 = empty_set), -(in(1 ^ [_22912], _22912))], clausify(d1_xboole_0)).
% 0.97/1.41 cnf(9, plain, [-(subset(_23921, _23977)), -(in(3 ^ [_23977, _23921], _23921))], clausify(d3_tarski)).
% 0.97/1.41 cnf(10, plain, [-(subset(_23921, _23977)), in(3 ^ [_23977, _23921], _23977)], clausify(d3_tarski)).
% 0.97/1.41 cnf(11, plain, [subset(_23921, _23977), in(_24091, _23921), -(in(_24091, _23977))], clausify(d3_tarski)).
% 0.97/1.41 cnf(12, plain, [_25210 = set_difference(_25067, _25139), in(_25376, _25210), -(in(_25376, _25067))], clausify(d4_xboole_0)).
% 0.97/1.41 cnf(13, plain, [_25210 = set_difference(_25067, _25139), in(_25376, _25210), in(_25376, _25139)], clausify(d4_xboole_0)).
% 0.97/1.41 cnf(14, plain, [_25210 = set_difference(_25067, _25139), -(in(_25376, _25210)), in(_25376, _25067), -(in(_25376, _25139))], clausify(d4_xboole_0)).
% 0.97/1.41
% 0.97/1.41 cnf('1',plain,[13 ^ [], 14 ^ []],start(5)).
% 0.97/1.41 cnf('1.1',plain,[-(13 ^ []), subset(11 ^ [], 12 ^ [])],extension(3)).
% 0.97/1.41 cnf('1.1.1',plain,[-(subset(11 ^ [], 12 ^ [])), -(in(3 ^ [12 ^ [], 11 ^ []], 11 ^ []))],extension(9,bind([[_23977, _23921], [12 ^ [], 11 ^ []]]))).
% 0.97/1.41 cnf('1.1.1.1',plain,[in(3 ^ [12 ^ [], 11 ^ []], 11 ^ []), set_difference(11 ^ [], 12 ^ []) = set_difference(11 ^ [], 12 ^ []), -(in(3 ^ [12 ^ [], 11 ^ []], set_difference(11 ^ [], 12 ^ []))), -(in(3 ^ [12 ^ [], 11 ^ []], 12 ^ []))],extension(14,bind([[_25067, _25210, _25376, _25139], [11 ^ [], set_difference(11 ^ [], 12 ^ []), 3 ^ [12 ^ [], 11 ^ []], 12 ^ []]]))).
% 0.97/1.41 cnf('1.1.1.1.1',plain,[-(set_difference(11 ^ [], 12 ^ []) = set_difference(11 ^ [], 12 ^ []))],extension(6,bind([[_16479], [set_difference(11 ^ [], 12 ^ [])]]))).
% 0.97/1.41 cnf('1.1.1.1.2',plain,[in(3 ^ [12 ^ [], 11 ^ []], set_difference(11 ^ [], 12 ^ [])), set_difference(11 ^ [], 12 ^ []) = empty_set],extension(7,bind([[_23018, _22912], [3 ^ [12 ^ [], 11 ^ []], set_difference(11 ^ [], 12 ^ [])]]))).
% 0.97/1.41 cnf('1.1.1.1.2.1',plain,[-(set_difference(11 ^ [], 12 ^ []) = empty_set), -(13 ^ [])],extension(4)).
% 0.97/1.41 cnf('1.1.1.1.2.1.1',plain,[13 ^ []],reduction('1')).
% 0.97/1.41 cnf('1.1.1.1.3',plain,[in(3 ^ [12 ^ [], 11 ^ []], 12 ^ []), -(subset(11 ^ [], 12 ^ []))],extension(10,bind([[_23921, _23977], [11 ^ [], 12 ^ []]]))).
% 0.97/1.41 cnf('1.1.1.1.3.1',plain,[subset(11 ^ [], 12 ^ [])],reduction('1.1')).
% 0.97/1.41 cnf('1.2',plain,[-(14 ^ []), -(subset(11 ^ [], 12 ^ []))],extension(2)).
% 0.97/1.41 cnf('1.2.1',plain,[subset(11 ^ [], 12 ^ []), in(1 ^ [set_difference(11 ^ [], 12 ^ [])], 11 ^ []), -(in(1 ^ [set_difference(11 ^ [], 12 ^ [])], 12 ^ []))],extension(11,bind([[_23921, _24091, _23977], [11 ^ [], 1 ^ [set_difference(11 ^ [], 12 ^ [])], 12 ^ []]]))).
% 0.97/1.41 cnf('1.2.1.1',plain,[-(in(1 ^ [set_difference(11 ^ [], 12 ^ [])], 11 ^ [])), set_difference(11 ^ [], 12 ^ []) = set_difference(11 ^ [], 12 ^ []), in(1 ^ [set_difference(11 ^ [], 12 ^ [])], set_difference(11 ^ [], 12 ^ []))],extension(12,bind([[_25067, _25139, _25376, _25210], [11 ^ [], 12 ^ [], 1 ^ [set_difference(11 ^ [], 12 ^ [])], set_difference(11 ^ [], 12 ^ [])]]))).
% 0.97/1.41 cnf('1.2.1.1.1',plain,[-(set_difference(11 ^ [], 12 ^ []) = set_difference(11 ^ [], 12 ^ []))],extension(6,bind([[_16479], [set_difference(11 ^ [], 12 ^ [])]]))).
% 0.97/1.41 cnf('1.2.1.1.2',plain,[-(in(1 ^ [set_difference(11 ^ [], 12 ^ [])], set_difference(11 ^ [], 12 ^ []))), -(set_difference(11 ^ [], 12 ^ []) = empty_set)],extension(8,bind([[_22912], [set_difference(11 ^ [], 12 ^ [])]]))).
% 0.97/1.41 cnf('1.2.1.1.2.1',plain,[set_difference(11 ^ [], 12 ^ []) = empty_set, -(14 ^ [])],extension(1)).
% 0.97/1.41 cnf('1.2.1.1.2.1.1',plain,[14 ^ []],reduction('1')).
% 0.97/1.41 cnf('1.2.1.2',plain,[in(1 ^ [set_difference(11 ^ [], 12 ^ [])], 12 ^ []), set_difference(11 ^ [], 12 ^ []) = set_difference(11 ^ [], 12 ^ []), in(1 ^ [set_difference(11 ^ [], 12 ^ [])], set_difference(11 ^ [], 12 ^ []))],extension(13,bind([[_25067, _25139, _25376, _25210], [11 ^ [], 12 ^ [], 1 ^ [set_difference(11 ^ [], 12 ^ [])], set_difference(11 ^ [], 12 ^ [])]]))).
% 0.97/1.41 cnf('1.2.1.2.1',plain,[-(set_difference(11 ^ [], 12 ^ []) = set_difference(11 ^ [], 12 ^ []))],extension(6,bind([[_16479], [set_difference(11 ^ [], 12 ^ [])]]))).
% 0.97/1.41 cnf('1.2.1.2.2',plain,[-(in(1 ^ [set_difference(11 ^ [], 12 ^ [])], set_difference(11 ^ [], 12 ^ []))), -(set_difference(11 ^ [], 12 ^ []) = empty_set)],extension(8,bind([[_22912], [set_difference(11 ^ [], 12 ^ [])]]))).
% 0.97/1.41 cnf('1.2.1.2.2.1',plain,[set_difference(11 ^ [], 12 ^ []) = empty_set, -(14 ^ [])],extension(1)).
% 0.97/1.41 cnf('1.2.1.2.2.1.1',plain,[14 ^ []],reduction('1')).
% 0.97/1.41 %-----------------------------------------------------
% 0.97/1.42
% 0.97/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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