%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM845+2 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 12:29:17 PM UTC 2025
% Result : Theorem 33.55s 4.56s
% Output : CNFRefutation 33.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM845+2 : TPTP v9.0.0. Released v4.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 14:14:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.39 % launching worker at depth: 11
% 18.05/2.60 % launching worker at depth: 12
% 33.55/4.56 % SZS status Theorem for theBenchmark
% 33.55/4.56 % SZS output start CNFRefutation
% 33.55/4.56 fof('qu(ind(267), imp(267))', plain, ![Vd416]:(vmul(vsucc(vd411),Vd416)=vplus(vmul(vd411,Vd416),Vd416)=>vmul(vsucc(vd411),vsucc(Vd416))=vplus(vmul(vd411,vsucc(Vd416)),vsucc(Vd416))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qu(ind(267), imp(267))')).
% 33.55/4.56 fof('qu(ind(267), imp(267))'_negated, plain, ~(![Vd416]:(vmul(vsucc(vd411),Vd416)=vplus(vmul(vd411,Vd416),Vd416)=>vmul(vsucc(vd411),vsucc(Vd416))=vplus(vmul(vd411,vsucc(Vd416)),vsucc(Vd416)))), inference(negate_conjecture, [status(cth)], ['qu(ind(267), imp(267))'])).
% 33.55/4.56 cnf(0, plain, vmul(vsucc(vd411),sK1) = vplus(vmul(vd411,sK1),sK1), inference(cnf, [status(esa)], ['qu(ind(267), imp(267))'_negated])).
% 33.55/4.56 cnf(l0, plain, vmul(vsucc(vd411),sK1) = vplus(vmul(vd411,sK1),sK1), inference(instantiation, [status(thm)], [0])).
% 33.55/4.56 fof('ass(cond(conseq(263), 1), 5)', plain, ![Vd413]:(vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)=>vplus(vplus(vmul(vd411,Vd413),Vd413),vsucc(vd411))=vplus(vmul(vd411,Vd413),vplus(Vd413,vsucc(vd411)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(263), 1), 5)')).
% 33.55/4.56 cnf(7, plain, vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) | vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))), inference(cnf, [status(esa)], ['ass(cond(conseq(263), 1), 5)'])).
% 33.55/4.56 cnf(l1, plain, vmul(vsucc(vd411),sK1) != vplus(vmul(vd411,sK1),sK1) | vplus(vplus(vmul(vd411,sK1),sK1),vsucc(vd411)) = vplus(vmul(vd411,sK1),vplus(sK1,vsucc(vd411))), inference(instantiation, [status(thm)], [7])).
% 33.55/4.56 fof('ass(cond(conseq(263), 1), 0)', plain, ![Vd413]:(vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)=>vplus(vplus(vmul(vd411,Vd413),vd411),vsucc(Vd413))=vplus(vmul(vd411,vsucc(Vd413)),vsucc(Vd413))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(263), 1), 0)')).
% 33.55/4.56 cnf(2, plain, vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) | vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0)), inference(cnf, [status(esa)], ['ass(cond(conseq(263), 1), 0)'])).
% 33.55/4.56 cnf(l9, plain, vmul(vsucc(vd411),sK1) != vplus(vmul(vd411,sK1),sK1) | vplus(vplus(vmul(vd411,sK1),vd411),vsucc(sK1)) = vplus(vmul(vd411,vsucc(sK1)),vsucc(sK1)), inference(instantiation, [status(thm)], [2])).
% 33.55/4.56 cnf(1, plain, vmul(vsucc(vd411),vsucc(sK1)) != vplus(vmul(vd411,vsucc(sK1)),vsucc(sK1)), inference(cnf, [status(esa)], ['qu(ind(267), imp(267))'_negated])).
% 33.55/4.56 cnf(l8, plain, vmul(vsucc(vd411),vsucc(sK1)) != vplus(vmul(vd411,vsucc(sK1)),vsucc(sK1)), inference(instantiation, [status(thm)], [1])).
% 33.55/4.56 fof('ass(cond(conseq(263), 1), 4)', plain, ![Vd413]:(vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)=>vplus(vmul(vd411,Vd413),vplus(Vd413,vsucc(vd411)))=vplus(vmul(vd411,Vd413),vplus(vsucc(vd411),Vd413))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(263), 1), 4)')).
% 33.55/4.56 cnf(6, plain, vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) | vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))) = vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0)), inference(cnf, [status(esa)], ['ass(cond(conseq(263), 1), 4)'])).
% 33.55/4.56 cnf(l18, plain, vmul(vsucc(vd411),sK1) != vplus(vmul(vd411,sK1),sK1) | vplus(vmul(vd411,sK1),vplus(sK1,vsucc(vd411))) = vplus(vmul(vd411,sK1),vplus(vsucc(vd411),sK1)), inference(instantiation, [status(thm)], [6])).
% 33.55/4.56 fof('ass(cond(conseq(263), 1), 3)', plain, ![Vd413]:(vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)=>vplus(vmul(vd411,Vd413),vplus(vsucc(vd411),Vd413))=vplus(vmul(vd411,Vd413),vsucc(vplus(vd411,Vd413)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(263), 1), 3)')).
% 33.55/4.56 cnf(5, plain, vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) | vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0)) = vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))), inference(cnf, [status(esa)], ['ass(cond(conseq(263), 1), 3)'])).
% 33.55/4.56 cnf(l17, plain, vmul(vsucc(vd411),sK1) != vplus(vmul(vd411,sK1),sK1) | vplus(vmul(vd411,sK1),vplus(vsucc(vd411),sK1)) = vplus(vmul(vd411,sK1),vsucc(vplus(vd411,sK1))), inference(instantiation, [status(thm)], [5])).
% 33.55/4.56 fof('ass(cond(conseq(263), 1), 6)', plain, ![Vd413]:(vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)=>vplus(vmul(vsucc(vd411),Vd413),vsucc(vd411))=vplus(vplus(vmul(vd411,Vd413),Vd413),vsucc(vd411))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(263), 1), 6)')).
% 33.55/4.56 cnf(8, plain, vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) | vplus(vmul(vsucc(vd411),X0),vsucc(vd411)) = vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)), inference(cnf, [status(esa)], ['ass(cond(conseq(263), 1), 6)'])).
% 33.55/4.56 cnf(l14, plain, vmul(vsucc(vd411),sK1) != vplus(vmul(vd411,sK1),sK1) | vplus(vmul(vsucc(vd411),sK1),vsucc(vd411)) = vplus(vplus(vmul(vd411,sK1),sK1),vsucc(vd411)), inference(instantiation, [status(thm)], [8])).
% 33.55/4.56 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/sandbox/benchmark/theBenchmark.p', 'qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))')).
% 33.55/4.56 cnf(11, 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)))'])).
% 33.55/4.56 cnf(l13, plain, vmul(vsucc(vd411),vsucc(sK1)) = vplus(vmul(vsucc(vd411),sK1),vsucc(vd411)), inference(instantiation, [status(thm)], [11])).
% 33.55/4.56 fof('ass(cond(conseq(263), 1), 1)', plain, ![Vd413]:(vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)=>vplus(vmul(vd411,Vd413),vplus(vd411,vsucc(Vd413)))=vplus(vplus(vmul(vd411,Vd413),vd411),vsucc(Vd413))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(263), 1), 1)')).
% 33.55/4.56 cnf(3, plain, vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) | vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0))) = vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0)), inference(cnf, [status(esa)], ['ass(cond(conseq(263), 1), 1)'])).
% 33.55/4.56 cnf(l29, plain, vmul(vsucc(vd411),sK1) != vplus(vmul(vd411,sK1),sK1) | vplus(vmul(vd411,sK1),vplus(vd411,vsucc(sK1))) = vplus(vplus(vmul(vd411,sK1),vd411),vsucc(sK1)), inference(instantiation, [status(thm)], [3])).
% 33.55/4.56 fof('ass(cond(conseq(263), 1), 2)', plain, ![Vd413]:(vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)=>vplus(vmul(vd411,Vd413),vsucc(vplus(vd411,Vd413)))=vplus(vmul(vd411,Vd413),vplus(vd411,vsucc(Vd413)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(263), 1), 2)')).
% 33.55/4.56 cnf(4, plain, vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) | vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0))), inference(cnf, [status(esa)], ['ass(cond(conseq(263), 1), 2)'])).
% 33.55/4.56 cnf(l31, plain, vmul(vsucc(vd411),sK1) != vplus(vmul(vd411,sK1),sK1) | vplus(vmul(vd411,sK1),vsucc(vplus(vd411,sK1))) = vplus(vmul(vd411,sK1),vplus(vd411,vsucc(sK1))), inference(instantiation, [status(thm)], [4])).
% 33.55/4.56 cnf(final, plain, $false, inference(ground_refutation, [status(thm)], [l0, l1, l9, l8, l18, l17, l14, l13, l29, l31])).
% 33.55/4.56 % SZS output end CNFRefutation
%------------------------------------------------------------------------------