%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEV606+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 06:52:35 PM UTC 2026
% Result : Theorem 71.60s 11.10s
% Output : CNFRefutation 71.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV606+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.31 % Computer : n008.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue May 5 05:21:43 EDT 2026
% 0.12/0.31 % CPUTime :
% 0.16/0.43 % launching worker at depth: 2
% 0.16/0.43 % launching worker at depth: 1
% 0.16/0.43 % launching worker at depth: 3
% 0.16/0.43 % launching worker at depth: 4
% 0.16/0.43 % launching worker at depth: 5
% 0.16/0.43 % launching worker at depth: 6
% 0.16/0.43 % launching worker at depth: 7
% 0.16/0.43 % launching worker at depth: 8
% 0.88/0.67 % launching worker at depth: 9
% 71.60/11.10 % SZS status Theorem for theBenchmark
% 71.60/11.10 % SZS output start CNFRefutation
% 71.60/11.10 fof('_HAMMER_GOAL', plain, ![V0__n]:(cCoq_2eNumbers_2eBinNums_2eZ___24t(V0__n)=>![V1__m]:(cCoq_2eNumbers_2eBinNums_2eZ___24t(V1__m)=>(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,V0__n))=>(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,V1__m))=>(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V1__m,V1__m),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V0__n,V0__n)))=>p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(V1__m,V0__n))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', '_HAMMER_GOAL')).
% 71.60/11.10 fof('_HAMMER_GOAL'_negated, plain, ~(![V0__n]:(cCoq_2eNumbers_2eBinNums_2eZ___24t(V0__n)=>![V1__m]:(cCoq_2eNumbers_2eBinNums_2eZ___24t(V1__m)=>(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,V0__n))=>(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,V1__m))=>(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V1__m,V1__m),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V0__n,V0__n)))=>p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(V1__m,V0__n)))))))), inference(negate_conjecture, [status(cth)], ['_HAMMER_GOAL'])).
% 71.60/11.10 cnf(3550, plain, cCoq_2eNumbers_2eBinNums_2eZ___24t(sK574), inference(cnf, [status(esa)], ['_HAMMER_GOAL'_negated])).
% 71.60/11.10 cnf(l0, plain, cCoq_2eNumbers_2eBinNums_2eZ___24t(sK574), inference(instantiation, [status(thm)], [3550])).
% 71.60/11.10 fof('Coq.ZArith.BinInt.Z.square_le_simpl_nonneg', plain, ![V0__n]:(cCoq_2eNumbers_2eBinNums_2eZ___24t(V0__n)=>![V1__m]:(cCoq_2eNumbers_2eBinNums_2eZ___24t(V1__m)=>(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,V1__m))=>(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V0__n,V0__n),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V1__m,V1__m)))=>p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(V0__n,V1__m)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'Coq.ZArith.BinInt.Z.square_le_simpl_nonneg')).
% 71.60/11.10 cnf(2726, plain, ~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X0)) | ~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X0,X0))) | ~cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) | ~cCoq_2eNumbers_2eBinNums_2eZ___24t(X0) | p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X1,X0)), inference(cnf, [status(esa)], ['Coq.ZArith.BinInt.Z.square_le_simpl_nonneg'])).
% 71.60/11.10 cnf(l1, plain, ~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,sK574)) | ~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(sK575,sK575),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(sK574,sK574))) | ~cCoq_2eNumbers_2eBinNums_2eZ___24t(sK575) | ~cCoq_2eNumbers_2eBinNums_2eZ___24t(sK574) | p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(sK575,sK574)), inference(instantiation, [status(thm)], [2726])).
% 71.60/11.10 cnf(3555, plain, ~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(sK575,sK574)), inference(cnf, [status(esa)], ['_HAMMER_GOAL'_negated])).
% 71.60/11.10 cnf(l6, plain, ~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(sK575,sK574)), inference(instantiation, [status(thm)], [3555])).
% 71.60/11.10 cnf(3552, plain, p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,sK574)), inference(cnf, [status(esa)], ['_HAMMER_GOAL'_negated])).
% 71.60/11.10 cnf(l3, plain, p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,sK574)), inference(instantiation, [status(thm)], [3552])).
% 71.60/11.10 cnf(3554, plain, p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(sK575,sK575),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(sK574,sK574))), inference(cnf, [status(esa)], ['_HAMMER_GOAL'_negated])).
% 71.60/11.10 cnf(l2, plain, p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(sK575,sK575),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(sK574,sK574))), inference(instantiation, [status(thm)], [3554])).
% 71.60/11.10 cnf(3551, plain, cCoq_2eNumbers_2eBinNums_2eZ___24t(sK575), inference(cnf, [status(esa)], ['_HAMMER_GOAL'_negated])).
% 71.60/11.10 cnf(l4, plain, cCoq_2eNumbers_2eBinNums_2eZ___24t(sK575), inference(instantiation, [status(thm)], [3551])).
% 71.60/11.10 cnf(final, plain, $false, inference(ground_refutation, [status(thm)], [l0, l1, l6, l3, l2, l4])).
% 71.60/11.10 % SZS output end CNFRefutation
%------------------------------------------------------------------------------