%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM849+1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 : Fri Jul 25 12:29:18 PM UTC 2025
% Result : Theorem 12.01s 1.79s
% Output : CNFRefutation 12.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.07 % Problem : NUM849+1 : TPTP v9.0.0. Released v4.1.0.
% 0.05/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.25 % Computer : n024.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Jul 21 14:14:49 EDT 2025
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 9
% 0.06/0.28 % launching worker at depth: 10
% 12.01/1.79 % SZS status Theorem for theBenchmark
% 12.01/1.79 % SZS output start CNFRefutation
% 12.01/1.79 fof('qu(ind(296), imp(296))', plain, ![Vd454]:(vmul(vmul(vd448,vd449),Vd454)=vmul(vd448,vmul(vd449,Vd454))=>vmul(vmul(vd448,vd449),vsucc(Vd454))=vmul(vd448,vmul(vd449,vsucc(Vd454)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'qu(ind(296), imp(296))')).
% 12.01/1.79 fof('qu(ind(296), imp(296))'_negated, plain, ~(![Vd454]:(vmul(vmul(vd448,vd449),Vd454)=vmul(vd448,vmul(vd449,Vd454))=>vmul(vmul(vd448,vd449),vsucc(Vd454))=vmul(vd448,vmul(vd449,vsucc(Vd454))))), inference(negate_conjecture, [status(cth)], ['qu(ind(296), imp(296))'])).
% 12.01/1.79 cnf(0, plain, vmul(vmul(vd448,vd449),sK1) = vmul(vd448,vmul(vd449,sK1)), inference(cnf, [status(esa)], ['qu(ind(296), imp(296))'_negated])).
% 12.01/1.79 cnf(l0, plain, vmul(vmul(vd448,vd449),sK1) = vmul(vd448,vmul(vd449,sK1)), inference(instantiation, [status(thm)], [0])).
% 12.01/1.79 fof('ass(cond(conseq(292), 1), 1)', plain, ![Vd451]:(vmul(vmul(vd448,vd449),Vd451)=vmul(vd448,vmul(vd449,Vd451))=>vplus(vmul(vd448,vmul(vd449,Vd451)),vmul(vd448,vd449))=vmul(vd448,vplus(vmul(vd449,Vd451),vd449))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(conseq(292), 1), 1)')).
% 12.01/1.79 cnf(3, plain, vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) | vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd448,vd449)) = vmul(vd448,vplus(vmul(vd449,X0),vd449)), inference(cnf, [status(esa)], ['ass(cond(conseq(292), 1), 1)'])).
% 12.01/1.79 cnf(l1, plain, vmul(vmul(vd448,vd449),sK1) != vmul(vd448,vmul(vd449,sK1)) | vplus(vmul(vd448,vmul(vd449,sK1)),vmul(vd448,vd449)) = vmul(vd448,vplus(vmul(vd449,sK1),vd449)), inference(instantiation, [status(thm)], [3])).
% 12.01/1.79 fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))', plain, ![Vd396,Vd397]:(vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396)&vmul(Vd396,v1)=Vd396), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))')).
% 12.01/1.79 cnf(12, plain, vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0), inference(cnf, [status(esa)], ['qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))'])).
% 12.01/1.79 cnf(l68, plain, vmul(vmul(vd448,vd449),vsucc(sK1)) = vplus(vmul(vmul(vd448,vd449),sK1),vmul(vd448,vd449)), inference(instantiation, [status(thm)], [12])).
% 12.01/1.79 fof('ass(cond(goal(193), 0), 1)', plain, ![Vd301,Vd302,Vd303]:(Vd301=Vd302=>vplus(Vd301,Vd303)=vplus(Vd302,Vd303)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(goal(193), 0), 1)')).
% 12.01/1.79 cnf(25, plain, X0 != X1 | vplus(X0,X2) = vplus(X1,X2), inference(cnf, [status(esa)], ['ass(cond(goal(193), 0), 1)'])).
% 12.01/1.79 cnf(l67, plain, vmul(vmul(vd448,vd449),sK1) != vmul(vd448,vmul(vd449,sK1)) | vplus(vmul(vmul(vd448,vd449),sK1),vmul(vd448,vd449)) = vplus(vmul(vd448,vmul(vd449,sK1)),vmul(vd448,vd449)), inference(instantiation, [status(thm)], [25])).
% 12.01/1.79 fof('ass(cond(conseq(292), 1), 0)', plain, ![Vd451]:(vmul(vmul(vd448,vd449),Vd451)=vmul(vd448,vmul(vd449,Vd451))=>vmul(vd448,vplus(vmul(vd449,Vd451),vd449))=vmul(vd448,vmul(vd449,vsucc(Vd451)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(conseq(292), 1), 0)')).
% 12.01/1.79 cnf(2, plain, vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) | vmul(vd448,vplus(vmul(vd449,X0),vd449)) = vmul(vd448,vmul(vd449,vsucc(X0))), inference(cnf, [status(esa)], ['ass(cond(conseq(292), 1), 0)'])).
% 12.01/1.79 cnf(l59, plain, vmul(vmul(vd448,vd449),sK1) != vmul(vd448,vmul(vd449,sK1)) | vmul(vd448,vplus(vmul(vd449,sK1),vd449)) = vmul(vd448,vmul(vd449,vsucc(sK1))), inference(instantiation, [status(thm)], [2])).
% 12.01/1.79 cnf(1, plain, vmul(vmul(vd448,vd449),vsucc(sK1)) != vmul(vd448,vmul(vd449,vsucc(sK1))), inference(cnf, [status(esa)], ['qu(ind(296), imp(296))'_negated])).
% 12.01/1.79 cnf(l58, plain, vmul(vmul(vd448,vd449),vsucc(sK1)) != vmul(vd448,vmul(vd449,vsucc(sK1))), inference(instantiation, [status(thm)], [1])).
% 12.01/1.79 cnf(final, plain, $false, inference(ground_refutation, [status(thm)], [l0, l1, l68, l67, l59, l58])).
% 12.01/1.79 % SZS output end CNFRefutation
%------------------------------------------------------------------------------