TSTP Solution File: SET774+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET774+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 02:55:53 EDT 2022
% Result : Theorem 30.99s 30.37s
% Output : Proof 31.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET774+4 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jul 10 10:41:43 EDT 2022
% 0.11/0.33 % CPUTime :
% 30.99/30.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.06/30.37 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.06/30.38
% 31.06/30.38 %-----------------------------------------------------
% 31.06/30.38 fof(pre_order, axiom, ! [_63879, _63882] : (pre_order(_63879, _63882) <=> ! [_63900] : (member(_63900, _63882) => apply(_63879, _63900, _63900)) & ! [_63900, _63933, _63936] : (member(_63900, _63882) & member(_63933, _63882) & member(_63936, _63882) => apply(_63879, _63900, _63933) & apply(_63879, _63933, _63936) => apply(_63879, _63900, _63936))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax', pre_order)).
% 31.06/30.38 fof(thIII10, conjecture, ! [_64478, _64481, _64484] : (pre_order(_64484, _64478) & subset(_64481, _64478) => pre_order(_64484, _64481)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thIII10)).
% 31.06/30.38 fof(subset, axiom, ! [_64708, _64711] : (subset(_64708, _64711) <=> ! [_64729] : (member(_64729, _64708) => member(_64729, _64711))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 31.06/30.38
% 31.06/30.38 cnf(1, plain, [-(42 ^ [_34379, _34268]), apply(_34268, 39 ^ [_34379, _34268], 41 ^ [_34379, _34268])], clausify(pre_order)).
% 31.06/30.38 cnf(2, plain, [-(42 ^ [_34379, _34268]), -(apply(_34268, 40 ^ [_34379, _34268], 41 ^ [_34379, _34268]))], clausify(pre_order)).
% 31.06/30.38 cnf(3, plain, [-(42 ^ [_34379, _34268]), -(apply(_34268, 39 ^ [_34379, _34268], 40 ^ [_34379, _34268]))], clausify(pre_order)).
% 31.06/30.38 cnf(4, plain, [-(42 ^ [_34379, _34268]), -(member(41 ^ [_34379, _34268], _34379))], clausify(pre_order)).
% 31.06/30.38 cnf(5, plain, [-(42 ^ [_34379, _34268]), -(member(40 ^ [_34379, _34268], _34379))], clausify(pre_order)).
% 31.06/30.38 cnf(6, plain, [-(42 ^ [_34379, _34268]), -(member(39 ^ [_34379, _34268], _34379))], clausify(pre_order)).
% 31.06/30.38 cnf(7, plain, [-(38 ^ [_34379, _34268]), apply(_34268, 37 ^ [_34379, _34268], 37 ^ [_34379, _34268])], clausify(pre_order)).
% 31.06/30.38 cnf(8, plain, [-(38 ^ [_34379, _34268]), -(member(37 ^ [_34379, _34268], _34379))], clausify(pre_order)).
% 31.06/30.38 cnf(9, plain, [-(36 ^ [_34379, _34268]), member(_34946, _34379), member(_34862, _34379), member(_34777, _34379), -(apply(_34268, _34777, _34946)), apply(_34268, _34777, _34862), apply(_34268, _34862, _34946)], clausify(pre_order)).
% 31.06/30.38 cnf(10, plain, [-(36 ^ [_34379, _34268]), member(_34558, _34379), -(apply(_34268, _34558, _34558))], clausify(pre_order)).
% 31.06/30.38 cnf(11, plain, [-(pre_order(45 ^ [], 43 ^ []))], clausify(thIII10)).
% 31.06/30.38 cnf(12, plain, [-(subset(44 ^ [], 43 ^ []))], clausify(thIII10)).
% 31.06/30.38 cnf(13, plain, [pre_order(45 ^ [], 44 ^ [])], clausify(thIII10)).
% 31.06/30.38 cnf(14, plain, [subset(_24628, _24684), member(_24798, _24628), -(member(_24798, _24684))], clausify(subset)).
% 31.06/30.38 cnf(15, plain, [-(pre_order(_34268, _34379)), 38 ^ [_34379, _34268], 42 ^ [_34379, _34268]], clausify(pre_order)).
% 31.06/30.38 cnf(16, plain, [pre_order(_34268, _34379), 36 ^ [_34379, _34268]], clausify(pre_order)).
% 31.06/30.38
% 31.06/30.38 cnf('1',plain,[pre_order(45 ^ [], 44 ^ [])],start(13)).
% 31.06/30.38 cnf('1.1',plain,[-(pre_order(45 ^ [], 44 ^ [])), 38 ^ [44 ^ [], 45 ^ []], 42 ^ [44 ^ [], 45 ^ []]],extension(15,bind([[_34379, _34268], [44 ^ [], 45 ^ []]]))).
% 31.06/30.38 cnf('1.1.1',plain,[-(38 ^ [44 ^ [], 45 ^ []]), apply(45 ^ [], 37 ^ [44 ^ [], 45 ^ []], 37 ^ [44 ^ [], 45 ^ []])],extension(7,bind([[_34379, _34268], [44 ^ [], 45 ^ []]]))).
% 31.06/30.38 cnf('1.1.1.1',plain,[-(apply(45 ^ [], 37 ^ [44 ^ [], 45 ^ []], 37 ^ [44 ^ [], 45 ^ []])), -(36 ^ [43 ^ [], 45 ^ []]), member(37 ^ [44 ^ [], 45 ^ []], 43 ^ [])],extension(10,bind([[_34268, _34558, _34379], [45 ^ [], 37 ^ [44 ^ [], 45 ^ []], 43 ^ []]]))).
% 31.06/30.38 cnf('1.1.1.1.1',plain,[36 ^ [43 ^ [], 45 ^ []], pre_order(45 ^ [], 43 ^ [])],extension(16,bind([[_34268, _34379], [45 ^ [], 43 ^ []]]))).
% 31.06/30.38 cnf('1.1.1.1.1.1',plain,[-(pre_order(45 ^ [], 43 ^ []))],extension(11)).
% 31.06/30.38 cnf('1.1.1.1.2',plain,[-(member(37 ^ [44 ^ [], 45 ^ []], 43 ^ [])), subset(44 ^ [], 43 ^ []), member(37 ^ [44 ^ [], 45 ^ []], 44 ^ [])],extension(14,bind([[_24684, _24798, _24628], [43 ^ [], 37 ^ [44 ^ [], 45 ^ []], 44 ^ []]]))).
% 31.06/30.38 cnf('1.1.1.1.2.1',plain,[-(subset(44 ^ [], 43 ^ []))],extension(12)).
% 31.06/30.38 cnf('1.1.1.1.2.2',plain,[-(member(37 ^ [44 ^ [], 45 ^ []], 44 ^ [])), -(38 ^ [44 ^ [], 45 ^ []])],extension(8,bind([[_34379, _34268], [44 ^ [], 45 ^ []]]))).
% 31.06/30.38 cnf('1.1.1.1.2.2.1',plain,[38 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.06/30.38 cnf('1.1.2',plain,[-(42 ^ [44 ^ [], 45 ^ []]), -(apply(45 ^ [], 39 ^ [44 ^ [], 45 ^ []], 40 ^ [44 ^ [], 45 ^ []]))],extension(3,bind([[_34379, _34268], [44 ^ [], 45 ^ []]]))).
% 31.06/30.38 cnf('1.1.2.1',plain,[apply(45 ^ [], 39 ^ [44 ^ [], 45 ^ []], 40 ^ [44 ^ [], 45 ^ []]), -(36 ^ [43 ^ [], 45 ^ []]), member(41 ^ [44 ^ [], 45 ^ []], 43 ^ []), member(40 ^ [44 ^ [], 45 ^ []], 43 ^ []), member(39 ^ [44 ^ [], 45 ^ []], 43 ^ []), -(apply(45 ^ [], 39 ^ [44 ^ [], 45 ^ []], 41 ^ [44 ^ [], 45 ^ []])), apply(45 ^ [], 40 ^ [44 ^ [], 45 ^ []], 41 ^ [44 ^ [], 45 ^ []])],extension(9,bind([[_34379, _34777, _34268, _34862, _34946], [43 ^ [], 39 ^ [44 ^ [], 45 ^ []], 45 ^ [], 40 ^ [44 ^ [], 45 ^ []], 41 ^ [44 ^ [], 45 ^ []]]]))).
% 31.06/30.38 cnf('1.1.2.1.1',plain,[36 ^ [43 ^ [], 45 ^ []], pre_order(45 ^ [], 43 ^ [])],extension(16,bind([[_34268, _34379], [45 ^ [], 43 ^ []]]))).
% 31.06/30.38 cnf('1.1.2.1.1.1',plain,[-(pre_order(45 ^ [], 43 ^ []))],extension(11)).
% 31.06/30.38 cnf('1.1.2.1.2',plain,[-(member(41 ^ [44 ^ [], 45 ^ []], 43 ^ [])), subset(44 ^ [], 43 ^ []), member(41 ^ [44 ^ [], 45 ^ []], 44 ^ [])],extension(14,bind([[_24684, _24798, _24628], [43 ^ [], 41 ^ [44 ^ [], 45 ^ []], 44 ^ []]]))).
% 31.06/30.38 cnf('1.1.2.1.2.1',plain,[-(subset(44 ^ [], 43 ^ []))],extension(12)).
% 31.06/30.38 cnf('1.1.2.1.2.2',plain,[-(member(41 ^ [44 ^ [], 45 ^ []], 44 ^ [])), -(42 ^ [44 ^ [], 45 ^ []])],extension(4,bind([[_34379, _34268], [44 ^ [], 45 ^ []]]))).
% 31.06/30.38 cnf('1.1.2.1.2.2.1',plain,[42 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.06/30.38 cnf('1.1.2.1.3',plain,[-(member(40 ^ [44 ^ [], 45 ^ []], 43 ^ [])), subset(44 ^ [], 43 ^ []), member(40 ^ [44 ^ [], 45 ^ []], 44 ^ [])],extension(14,bind([[_24684, _24798, _24628], [43 ^ [], 40 ^ [44 ^ [], 45 ^ []], 44 ^ []]]))).
% 31.06/30.38 cnf('1.1.2.1.3.1',plain,[-(subset(44 ^ [], 43 ^ []))],extension(12)).
% 31.06/30.38 cnf('1.1.2.1.3.2',plain,[-(member(40 ^ [44 ^ [], 45 ^ []], 44 ^ [])), -(42 ^ [44 ^ [], 45 ^ []])],extension(5,bind([[_34379, _34268], [44 ^ [], 45 ^ []]]))).
% 31.06/30.38 cnf('1.1.2.1.3.2.1',plain,[42 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.06/30.38 cnf('1.1.2.1.4',plain,[-(member(39 ^ [44 ^ [], 45 ^ []], 43 ^ [])), subset(44 ^ [], 43 ^ []), member(39 ^ [44 ^ [], 45 ^ []], 44 ^ [])],extension(14,bind([[_24684, _24798, _24628], [43 ^ [], 39 ^ [44 ^ [], 45 ^ []], 44 ^ []]]))).
% 31.06/30.38 cnf('1.1.2.1.4.1',plain,[-(subset(44 ^ [], 43 ^ []))],extension(12)).
% 31.06/30.38 cnf('1.1.2.1.4.2',plain,[-(member(39 ^ [44 ^ [], 45 ^ []], 44 ^ [])), -(42 ^ [44 ^ [], 45 ^ []])],extension(6,bind([[_34379, _34268], [44 ^ [], 45 ^ []]]))).
% 31.06/30.38 cnf('1.1.2.1.4.2.1',plain,[42 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.06/30.38 cnf('1.1.2.1.5',plain,[apply(45 ^ [], 39 ^ [44 ^ [], 45 ^ []], 41 ^ [44 ^ [], 45 ^ []]), -(42 ^ [44 ^ [], 45 ^ []])],extension(1,bind([[_34379, _34268], [44 ^ [], 45 ^ []]]))).
% 31.06/30.38 cnf('1.1.2.1.5.1',plain,[42 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.06/30.38 cnf('1.1.2.1.6',plain,[-(apply(45 ^ [], 40 ^ [44 ^ [], 45 ^ []], 41 ^ [44 ^ [], 45 ^ []])), -(42 ^ [44 ^ [], 45 ^ []])],extension(2,bind([[_34379, _34268], [44 ^ [], 45 ^ []]]))).
% 31.06/30.38 cnf('1.1.2.1.6.1',plain,[42 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.06/30.38 %-----------------------------------------------------
% 31.06/30.38
% 31.06/30.38 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------