%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEV678+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 06:52:39 PM UTC 2026
% Result : Theorem 0.38s 0.58s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV678+1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.34 % Computer : n014.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % 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 08:25:36 EDT 2026
% 0.16/0.35 % CPUTime :
% 0.38/0.58 % launching worker at depth: 1
% 0.38/0.58 % launching worker at depth: 2
% 0.38/0.58 % launching worker at depth: 5
% 0.38/0.58 % launching worker at depth: 6
% 0.38/0.58 % launching worker at depth: 4
% 0.38/0.58 % launching worker at depth: 3
% 0.38/0.58 % launching worker at depth: 7
% 0.38/0.58 % launching worker at depth: 8
% 0.38/0.58 % SZS status Theorem for theBenchmark
% 0.38/0.58 % SZS output start CNFRefutation
% 0.38/0.58 fof('_HAMMER_GOAL', plain, (![V0__x]:(cCoq_2eInit_2eDatatypes_2enat___24t(V0__x)=>cUseAuto_2eP___24a1(V0__x))=>p(cUseAuto_2emyFact)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', '_HAMMER_GOAL')).
% 0.38/0.58 fof('_HAMMER_GOAL'_negated, plain, ~((![V0__x]:(cCoq_2eInit_2eDatatypes_2enat___24t(V0__x)=>cUseAuto_2eP___24a1(V0__x))=>p(cUseAuto_2emyFact))), inference(negate_conjecture, [status(cth)], ['_HAMMER_GOAL'])).
% 0.38/0.58 cnf(7808, plain, ~cCoq_2eInit_2eDatatypes_2enat___24t(X0) | cUseAuto_2eP___24a1(X0), inference(cnf, [status(esa)], ['_HAMMER_GOAL'_negated])).
% 0.38/0.58 cnf(l0, plain, ~cCoq_2eInit_2eDatatypes_2enat___24t(sK320) | cUseAuto_2eP___24a1(sK320), inference(instantiation, [status(thm)], [7808])).
% 0.38/0.58 fof('$_def_UseAuto.myFact', plain, (p(cUseAuto_2emyFact)<=>![V0__x]:(cCoq_2eInit_2eDatatypes_2enat___24t(V0__x)=>(cCoq_2eInit_2ePeano_2ele___24a2(V0__x,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))=>cUseAuto_2eP___24a1(V0__x)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', '$_def_UseAuto.myFact')).
% 0.38/0.58 cnf(1932, plain, ~cUseAuto_2eP___24a1(sK320) | p(cUseAuto_2emyFact), inference(cnf, [status(esa)], ['$_def_UseAuto.myFact'])).
% 0.38/0.58 cnf(l3, plain, ~cUseAuto_2eP___24a1(sK320) | p(cUseAuto_2emyFact), inference(instantiation, [status(thm)], [1932])).
% 0.38/0.58 cnf(1930, plain, p(cUseAuto_2emyFact) | cCoq_2eInit_2eDatatypes_2enat___24t(sK320), inference(cnf, [status(esa)], ['$_def_UseAuto.myFact'])).
% 0.38/0.58 cnf(l1, plain, p(cUseAuto_2emyFact) | cCoq_2eInit_2eDatatypes_2enat___24t(sK320), inference(instantiation, [status(thm)], [1930])).
% 0.38/0.58 cnf(7809, plain, ~p(cUseAuto_2emyFact), inference(cnf, [status(esa)], ['_HAMMER_GOAL'_negated])).
% 0.38/0.58 cnf(l4, plain, ~p(cUseAuto_2emyFact), inference(instantiation, [status(thm)], [7809])).
% 0.38/0.58 cnf(l5, plain, ~p(cUseAuto_2emyFact), inference(instantiation, [status(thm)], [7809])).
% 0.38/0.58 cnf(final, plain, $false, inference(ground_refutation, [status(thm)], [l0, l3, l1, l4, l5])).
% 0.38/0.58 % SZS output end CNFRefutation
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