TSTP Solution File: SCT105+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SCT105+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 : Mon Jul 18 21:45:55 EDT 2022
% Result : Theorem 29.67s 29.52s
% Output : Proof 29.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SCT105+1 : TPTP v8.1.0. Released v5.2.0.
% 0.14/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jul 2 02:13:44 EDT 2022
% 0.14/0.36 % CPUTime :
% 29.67/29.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.75/29.53 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.75/29.53
% 29.75/29.53 %-----------------------------------------------------
% 29.75/29.53 fof(conj_0, conjecture, c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt, v_L) & ! [_543822] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _543822, _543822), v_L) & ! [_543822, _543867] : ((! _543822) = _543867 => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _543867, _543822), v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _543822, _543867), v_L)) <=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt, v_L) & ! [_543822] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _543822, _543822), v_L) & ! [_543822, _543867] : ((! _543822) = _543867 => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _543822, _543867), v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _543867, _543822), v_L)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 29.75/29.53
% 29.75/29.53 cnf(1, plain, [-(240 ^ []), c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 238 ^ [], 239 ^ []), v_L)], clausify(conj_0)).
% 29.75/29.53 cnf(2, plain, [-(240 ^ []), c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 239 ^ [], 238 ^ []), v_L)], clausify(conj_0)).
% 29.75/29.53 cnf(3, plain, [-(240 ^ []), 238 ^ [] = 239 ^ []], clausify(conj_0)).
% 29.75/29.53 cnf(4, plain, [-(241 ^ []), c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt, v_L), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 237 ^ [], 237 ^ []), v_L)), 240 ^ []], clausify(conj_0)).
% 29.75/29.53 cnf(5, plain, [-(241 ^ []), -(_388393 = _388458), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _388393, _388458), v_L)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _388458, _388393), v_L))], clausify(conj_0)).
% 29.75/29.53 cnf(6, plain, [-(241 ^ []), c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _388085, _388085), v_L)], clausify(conj_0)).
% 29.75/29.53 cnf(7, plain, [-(241 ^ []), -(c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt, v_L))], clausify(conj_0)).
% 29.75/29.53 cnf(8, plain, [-(235 ^ []), c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 234 ^ [], 233 ^ []), v_L)], clausify(conj_0)).
% 29.75/29.53 cnf(9, plain, [-(235 ^ []), c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 233 ^ [], 234 ^ []), v_L)], clausify(conj_0)).
% 29.75/29.53 cnf(10, plain, [-(235 ^ []), 233 ^ [] = 234 ^ []], clausify(conj_0)).
% 29.75/29.53 cnf(11, plain, [-(236 ^ []), c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt, v_L), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 232 ^ [], 232 ^ []), v_L)), 235 ^ []], clausify(conj_0)).
% 29.75/29.53 cnf(12, plain, [-(236 ^ []), -(_387242 = _387307), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _387307, _387242), v_L)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _387242, _387307), v_L))], clausify(conj_0)).
% 29.75/29.53 cnf(13, plain, [-(236 ^ []), c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _386934, _386934), v_L)], clausify(conj_0)).
% 29.75/29.53 cnf(14, plain, [-(236 ^ []), -(c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt, v_L))], clausify(conj_0)).
% 29.75/29.53 cnf(15, plain, [236 ^ [], 241 ^ []], clausify(conj_0)).
% 29.75/29.53
% 29.75/29.53 cnf('1',plain,[236 ^ [], 241 ^ []],start(15)).
% 29.75/29.53 cnf('1.1',plain,[-(236 ^ []), c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt, v_L), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 232 ^ [], 232 ^ []), v_L)), 235 ^ []],extension(11)).
% 29.75/29.53 cnf('1.1.1',plain,[-(c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt, v_L)), -(236 ^ [])],extension(14)).
% 29.75/29.53 cnf('1.1.1.1',plain,[236 ^ []],reduction('1')).
% 29.75/29.53 cnf('1.1.2',plain,[c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 232 ^ [], 232 ^ []), v_L), -(236 ^ [])],extension(13,bind([[_386934], [232 ^ []]]))).
% 29.75/29.53 cnf('1.1.2.1',plain,[236 ^ []],reduction('1')).
% 29.75/29.53 cnf('1.1.3',plain,[-(235 ^ []), c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 234 ^ [], 233 ^ []), v_L)],extension(8)).
% 29.75/29.53 cnf('1.1.3.1',plain,[-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 234 ^ [], 233 ^ []), v_L)), -(236 ^ []), -(233 ^ [] = 234 ^ []), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 233 ^ [], 234 ^ []), v_L))],extension(12,bind([[_387242, _387307], [233 ^ [], 234 ^ []]]))).
% 29.75/29.53 cnf('1.1.3.1.1',plain,[236 ^ []],reduction('1')).
% 29.75/29.53 cnf('1.1.3.1.2',plain,[233 ^ [] = 234 ^ [], -(235 ^ [])],extension(10)).
% 29.75/29.53 cnf('1.1.3.1.2.1',plain,[235 ^ []],reduction('1.1')).
% 29.75/29.53 cnf('1.1.3.1.3',plain,[c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 233 ^ [], 234 ^ []), v_L), -(235 ^ [])],extension(9)).
% 29.75/29.53 cnf('1.1.3.1.3.1',plain,[235 ^ []],reduction('1.1')).
% 29.75/29.53 cnf('1.2',plain,[-(241 ^ []), c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt, v_L), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 237 ^ [], 237 ^ []), v_L)), 240 ^ []],extension(4)).
% 29.75/29.53 cnf('1.2.1',plain,[-(c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt, v_L)), -(241 ^ [])],extension(7)).
% 29.75/29.53 cnf('1.2.1.1',plain,[241 ^ []],reduction('1')).
% 29.75/29.53 cnf('1.2.2',plain,[c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 237 ^ [], 237 ^ []), v_L), -(241 ^ [])],extension(6,bind([[_388085], [237 ^ []]]))).
% 29.75/29.53 cnf('1.2.2.1',plain,[241 ^ []],reduction('1')).
% 29.75/29.53 cnf('1.2.3',plain,[-(240 ^ []), c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 238 ^ [], 239 ^ []), v_L)],extension(1)).
% 29.75/29.53 cnf('1.2.3.1',plain,[-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 238 ^ [], 239 ^ []), v_L)), -(241 ^ []), -(238 ^ [] = 239 ^ []), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 239 ^ [], 238 ^ []), v_L))],extension(5,bind([[_388458, _388393], [239 ^ [], 238 ^ []]]))).
% 29.75/29.53 cnf('1.2.3.1.1',plain,[241 ^ []],reduction('1')).
% 29.75/29.53 cnf('1.2.3.1.2',plain,[238 ^ [] = 239 ^ [], -(240 ^ [])],extension(3)).
% 29.75/29.53 cnf('1.2.3.1.2.1',plain,[240 ^ []],reduction('1.2')).
% 29.75/29.53 cnf('1.2.3.1.3',plain,[c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 239 ^ [], 238 ^ []), v_L), -(240 ^ [])],extension(2)).
% 29.75/29.53 cnf('1.2.3.1.3.1',plain,[240 ^ []],reduction('1.2')).
% 29.75/29.53 %-----------------------------------------------------
% 29.75/29.54
% 29.75/29.54 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------