%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEV678+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 : Tue May 5 06:53:15 PM UTC 2026
% Result : Theorem 30.24s 29.39s
% Output : Proof 30.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV678+1 : TPTP v9.3.0. Released v9.3.0.
% 0.13/0.12 % Command : leancop_casc.sh %s %d
% 0.16/0.33 % Computer : n026.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 08:24:53 EDT 2026
% 0.16/0.34 % CPUTime :
% 30.24/29.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.30/29.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.30/29.40
% 30.30/29.40 %-----------------------------------------------------
% 30.30/29.40 fof('$_def_UseAuto.myFact', axiom, p(cUseAuto_2emyFact) <=> ! [_861786] : (cCoq_2eInit_2eDatatypes_2enat___24t(_861786) => cCoq_2eInit_2ePeano_2ele___24a2(_861786, cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))) => cUseAuto_2eP___24a1(_861786)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', '$_def_UseAuto.myFact')).
% 30.30/29.40 fof('_HAMMER_GOAL', conjecture, ! [_863891] : (cCoq_2eInit_2eDatatypes_2enat___24t(_863891) => cUseAuto_2eP___24a1(_863891)) => p(cUseAuto_2emyFact), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', '_HAMMER_GOAL')).
% 30.30/29.40
% 30.30/29.40 cnf(1, plain, [-(1134 ^ []), cUseAuto_2eP___24a1(1133 ^ [])], clausify('$_def_UseAuto.myFact')).
% 30.30/29.40 cnf(2, plain, [-(1134 ^ []), -(cCoq_2eInit_2eDatatypes_2enat___24t(1133 ^ []))], clausify('$_def_UseAuto.myFact')).
% 30.30/29.40 cnf(3, plain, [p(cUseAuto_2emyFact)], clausify('_HAMMER_GOAL')).
% 30.30/29.40 cnf(4, plain, [cCoq_2eInit_2eDatatypes_2enat___24t(_472516), -(cUseAuto_2eP___24a1(_472516))], clausify('_HAMMER_GOAL')).
% 30.30/29.40 cnf(5, plain, [-(p(cUseAuto_2emyFact)), 1134 ^ []], clausify('$_def_UseAuto.myFact')).
% 30.30/29.40
% 30.30/29.40 cnf('1',plain,[cCoq_2eInit_2eDatatypes_2enat___24t(1133 ^ []), -(cUseAuto_2eP___24a1(1133 ^ []))],start(4,bind([[_472516], [1133 ^ []]]))).
% 30.30/29.40 cnf('1.1',plain,[-(cCoq_2eInit_2eDatatypes_2enat___24t(1133 ^ [])), -(1134 ^ [])],extension(2)).
% 30.30/29.40 cnf('1.1.1',plain,[1134 ^ [], -(p(cUseAuto_2emyFact))],extension(5)).
% 30.30/29.40 cnf('1.1.1.1',plain,[p(cUseAuto_2emyFact)],extension(3)).
% 30.30/29.40 cnf('1.2',plain,[cUseAuto_2eP___24a1(1133 ^ []), -(1134 ^ [])],extension(1)).
% 30.30/29.40 cnf('1.2.1',plain,[1134 ^ [], -(p(cUseAuto_2emyFact))],extension(5)).
% 30.30/29.40 cnf('1.2.1.1',plain,[p(cUseAuto_2emyFact)],extension(3)).
% 30.30/29.40 %-----------------------------------------------------
% 30.30/29.41
% 30.30/29.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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