%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWX207+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:13:48 PM UTC 2026
% Result : Theorem 0.14s 15.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX207+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/15.38 % Computer : n006.cluster.edu
% 0.09/15.38 % Model : x86_64 x86_64
% 0.09/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.38 % Memory : 8046.5625MB
% 0.09/15.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.38 % CPULimit : 300
% 0.09/15.38 % WCLimit : 300
% 0.09/15.38 % DateTime : Mon Sep 21 10:33:02 UTC 2026
% 0.09/15.39 % CPUTime :
% 0.09/15.39 % Drodi V4.1.1
% 0.14/15.41 % Refutation found
% 0.14/15.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/15.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/15.41 fof(f8,axiom,(
% 0.14/15.41 (! [X] : aP(X) != pA )),
% 0.14/15.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/15.41 fof(f18,axiom,(
% 0.14/15.41 (! [X,X2] : proj2C(c2(X,X2)) = X2 )),
% 0.14/15.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/15.41 fof(f19,axiom,(
% 0.14/15.41 (! [Y] : append(nil,Y) = Y )),
% 0.14/15.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/15.41 fof(f21,axiom,(
% 0.14/15.41 (! [P] : linP(aP(P)) = append(cons(a,nil),append(linP(P),cons(a,nil))) )),
% 0.14/15.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/15.41 fof(f23,axiom,(
% 0.14/15.41 linP(pA) = cons(a,nil) ),
% 0.14/15.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/15.41 fof(f25,axiom,(
% 0.14/15.41 linP(pE) = nil ),
% 0.14/15.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/15.41 fof(f26,axiom,(
% 0.14/15.41 (! [P,Q] : linC(c2(P,Q)) = append(linP(P),linP(Q)) )),
% 0.14/15.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/15.41 fof(f27,conjecture,(
% 0.14/15.41 (? [U,V] :~ ( linC(U) = linC(V)=> U = V ) )),
% 0.14/15.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/15.41 fof(f28,negated_conjecture,(
% 0.14/15.41 ~((? [U,V] :~ ( linC(U) = linC(V)=> U = V ) ))),
% 0.14/15.41 inference(negated_conjecture,[status(cth)],[f27])).
% 0.14/15.41 fof(f36,plain,(
% 0.14/15.41 ![X0]: (~aP(X0)=pA)),
% 0.14/15.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/15.41 fof(f46,plain,(
% 0.14/15.41 ![X0,X1]: (proj2C(c2(X0,X1))=X1)),
% 0.14/15.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/15.41 fof(f47,plain,(
% 0.14/15.41 ![X0]: (append(nil,X0)=X0)),
% 0.14/15.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/15.41 fof(f49,plain,(
% 0.14/15.41 ![X0]: (linP(aP(X0))=append(cons(a,nil),append(linP(X0),cons(a,nil))))),
% 0.14/15.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/15.41 fof(f51,plain,(
% 0.14/15.41 linP(pA)=cons(a,nil)),
% 0.14/15.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/15.41 fof(f53,plain,(
% 0.14/15.41 linP(pE)=nil),
% 0.14/15.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/15.41 fof(f54,plain,(
% 0.14/15.41 ![X0,X1]: (linC(c2(X0,X1))=append(linP(X0),linP(X1)))),
% 0.14/15.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/15.41 fof(f55,plain,(
% 0.14/15.41 (![U,V]: (~linC(U)=linC(V)|U=V))),
% 0.14/15.41 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.14/15.41 fof(f56,plain,(
% 0.14/15.41 ![X0,X1]: (~linC(X0)=linC(X1)|X0=X1)),
% 0.14/15.41 inference(cnf_transformation,[status(thm)],[f55])).
% 0.14/15.41 fof(f59,plain,(
% 0.14/15.41 ![X0]: (linC(c2(pE,X0))=append(nil,linP(X0)))),
% 0.14/15.41 inference(paramodulation,[status(thm)],[f53,f54])).
% 0.14/15.41 fof(f60,plain,(
% 0.14/15.41 ![X0]: (linC(c2(pE,X0))=linP(X0))),
% 0.14/15.41 inference(forward_demodulation,[status(thm)],[f47,f59])).
% 0.14/15.41 fof(f69,plain,(
% 0.14/15.41 ![X0,X1]: (~linC(X0)=linP(X1)|X0=c2(pE,X1))),
% 0.14/15.41 inference(paramodulation,[status(thm)],[f60,f56])).
% 0.14/15.41 fof(f86,plain,(
% 0.14/15.41 ![X0]: (linP(aP(X0))=append(cons(a,nil),append(linP(X0),linP(pA))))),
% 0.14/15.41 inference(backward_demodulation,[status(thm)],[f51,f49])).
% 0.14/15.41 fof(f91,plain,(
% 0.14/15.41 ![X0]: (linP(aP(X0))=append(linP(pA),append(linP(X0),linP(pA))))),
% 0.14/15.41 inference(forward_demodulation,[status(thm)],[f51,f86])).
% 0.14/15.41 fof(f92,plain,(
% 0.14/15.41 ![X0]: (linP(aP(X0))=append(linP(pA),linC(c2(X0,pA))))),
% 0.14/15.41 inference(forward_demodulation,[status(thm)],[f54,f91])).
% 0.14/15.41 fof(f104,plain,(
% 0.14/15.41 linP(aP(pE))=append(linP(pA),linP(pA))),
% 0.14/15.41 inference(paramodulation,[status(thm)],[f60,f92])).
% 0.14/15.41 fof(f106,plain,(
% 0.14/15.41 linP(aP(pE))=linC(c2(pA,pA))),
% 0.14/15.41 inference(forward_demodulation,[status(thm)],[f54,f104])).
% 0.14/15.41 fof(f109,plain,(
% 0.14/15.41 c2(pA,pA)=c2(pE,aP(pE))),
% 0.14/15.41 inference(resolution,[status(thm)],[f106,f69])).
% 0.14/15.41 fof(f119,plain,(
% 0.14/15.41 proj2C(c2(pA,pA))=aP(pE)),
% 0.14/15.41 inference(paramodulation,[status(thm)],[f109,f46])).
% 0.14/15.41 fof(f121,plain,(
% 0.14/15.41 pA=aP(pE)),
% 0.14/15.41 inference(forward_demodulation,[status(thm)],[f46,f119])).
% 0.14/15.41 fof(f122,plain,(
% 0.14/15.41 $false),
% 0.14/15.41 inference(forward_subsumption_resolution,[status(thm)],[f121,f36])).
% 0.14/15.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/15.43 % Elapsed time: 0.037089 seconds
% 0.14/15.43 % CPU time: 0.116623 seconds
% 0.14/15.43 % Total memory used: 37.786 MB
% 0.14/15.43 % Net memory used: 37.660 MB
%------------------------------------------------------------------------------