%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG176+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 11:49:45 AM UTC 2026
% Result : Theorem 0.07s 0.33s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG176+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 13:00:22 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.31 % Drodi V4.1.1
% 0.07/0.33 % Refutation found
% 0.07/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.33 fof(f3,axiom,(
% 0.07/0.33 (? [U] :( sorti1(U)& (! [V] :( sorti1(V)=> op1(V,U) != V ) )) )),
% 0.07/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.33 fof(f4,axiom,(
% 0.07/0.33 ~ (? [U] :( sorti2(U)& (! [V] :( sorti2(V)=> op2(V,U) != V ) )) )),
% 0.07/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.33 fof(f5,conjecture,(
% 0.07/0.33 ( ( (! [U] :( sorti1(U)=> sorti2(h(U)) ))& (! [V] :( sorti2(V)=> sorti1(j(V)) ) ))=> ~ ( (! [W] :( sorti1(W)=> (! [X] :( sorti1(X)=> h(op1(W,X)) = op2(h(W),h(X)) ) )))& (! [Y] :( sorti2(Y)=> (! [Z] :( sorti2(Z)=> j(op2(Y,Z)) = op1(j(Y),j(Z)) ) )))& (! [X1] :( sorti2(X1)=> h(j(X1)) = X1 ))& (! [X2] :( sorti1(X2)=> j(h(X2)) = X2 ) )) ) ),
% 0.07/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.33 fof(f6,negated_conjecture,(
% 0.07/0.33 ~(( ( (! [U] :( sorti1(U)=> sorti2(h(U)) ))& (! [V] :( sorti2(V)=> sorti1(j(V)) ) ))=> ~ ( (! [W] :( sorti1(W)=> (! [X] :( sorti1(X)=> h(op1(W,X)) = op2(h(W),h(X)) ) )))& (! [Y] :( sorti2(Y)=> (! [Z] :( sorti2(Z)=> j(op2(Y,Z)) = op1(j(Y),j(Z)) ) )))& (! [X1] :( sorti2(X1)=> h(j(X1)) = X1 ))& (! [X2] :( sorti1(X2)=> j(h(X2)) = X2 ) )) ) )),
% 0.07/0.33 inference(negated_conjecture,[status(cth)],[f5])).
% 0.07/0.33 fof(f11,plain,(
% 0.07/0.33 ?[U]: (sorti1(U)&(![V]: (~sorti1(V)|~op1(V,U)=V)))),
% 0.07/0.33 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.07/0.33 fof(f12,plain,(
% 0.07/0.33 (sorti1(sK0_skl)&(![V]: (~sorti1(V)|~op1(V,sK0_skl)=V)))),
% 0.07/0.33 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl)],[f11])).
% 0.07/0.33 fof(f13,plain,(
% 0.07/0.33 sorti1(sK0_skl)),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f12])).
% 0.07/0.33 fof(f14,plain,(
% 0.07/0.33 ![X0]: (~sorti1(X0)|~op1(X0,sK0_skl)=X0)),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f12])).
% 0.07/0.33 fof(f15,plain,(
% 0.07/0.33 (![U]: (~sorti2(U)|(?[V]: (sorti2(V)&op2(V,U)=V))))),
% 0.07/0.33 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.07/0.33 fof(f16,plain,(
% 0.07/0.33 ![U]: (~sorti2(U)|(sorti2(sK1_skl(U))&op2(sK1_skl(U),U)=sK1_skl(U)))),
% 0.07/0.33 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(V,sK1_skl(U))],[f15])).
% 0.07/0.33 fof(f17,plain,(
% 0.07/0.33 ![X0]: (~sorti2(X0)|sorti2(sK1_skl(X0)))),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f16])).
% 0.07/0.33 fof(f18,plain,(
% 0.07/0.33 ![X0]: (~sorti2(X0)|op2(sK1_skl(X0),X0)=sK1_skl(X0))),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f16])).
% 0.07/0.33 fof(f19,plain,(
% 0.07/0.33 (((![U]: (~sorti1(U)|sorti2(h(U))))&(![V]: (~sorti2(V)|sorti1(j(V)))))&((((![W]: (~sorti1(W)|(![X]: (~sorti1(X)|h(op1(W,X))=op2(h(W),h(X))))))&(![Y]: (~sorti2(Y)|(![Z]: (~sorti2(Z)|j(op2(Y,Z))=op1(j(Y),j(Z)))))))&(![X1]: (~sorti2(X1)|h(j(X1))=X1)))&(![X2]: (~sorti1(X2)|j(h(X2))=X2))))),
% 0.07/0.33 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.07/0.33 fof(f20,plain,(
% 0.07/0.33 ![X0]: (~sorti1(X0)|sorti2(h(X0)))),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f19])).
% 0.07/0.33 fof(f21,plain,(
% 0.07/0.33 ![X0]: (~sorti2(X0)|sorti1(j(X0)))),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f19])).
% 0.07/0.33 fof(f23,plain,(
% 0.07/0.33 ![X0,X1]: (~sorti2(X0)|~sorti2(X1)|j(op2(X0,X1))=op1(j(X0),j(X1)))),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f19])).
% 0.07/0.33 fof(f25,plain,(
% 0.07/0.33 ![X0]: (~sorti1(X0)|j(h(X0))=X0)),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f19])).
% 0.07/0.33 fof(f28,plain,(
% 0.07/0.33 sorti2(h(sK0_skl))),
% 0.07/0.33 inference(resolution,[status(thm)],[f20,f13])).
% 0.07/0.33 fof(f30,plain,(
% 0.07/0.33 j(h(sK0_skl))=sK0_skl),
% 0.07/0.33 inference(resolution,[status(thm)],[f25,f13])).
% 0.07/0.33 fof(f33,plain,(
% 0.07/0.33 ![X0]: (~sorti2(X0)|j(op2(X0,h(sK0_skl)))=op1(j(X0),j(h(sK0_skl))))),
% 0.07/0.33 inference(resolution,[status(thm)],[f28,f23])).
% 0.07/0.33 fof(f35,plain,(
% 0.07/0.33 op2(sK1_skl(h(sK0_skl)),h(sK0_skl))=sK1_skl(h(sK0_skl))),
% 0.07/0.33 inference(resolution,[status(thm)],[f28,f18])).
% 0.07/0.33 fof(f36,plain,(
% 0.07/0.33 sorti2(sK1_skl(h(sK0_skl)))),
% 0.07/0.33 inference(resolution,[status(thm)],[f28,f17])).
% 0.07/0.33 fof(f38,plain,(
% 0.07/0.33 ![X0]: (~sorti2(X0)|j(op2(X0,h(sK0_skl)))=op1(j(X0),sK0_skl))),
% 0.07/0.33 inference(forward_demodulation,[status(thm)],[f30,f33])).
% 0.07/0.33 fof(f51,plain,(
% 0.07/0.33 j(op2(sK1_skl(h(sK0_skl)),h(sK0_skl)))=op1(j(sK1_skl(h(sK0_skl))),sK0_skl)),
% 0.07/0.33 inference(resolution,[status(thm)],[f36,f38])).
% 0.07/0.33 fof(f54,plain,(
% 0.07/0.33 sorti1(j(sK1_skl(h(sK0_skl))))),
% 0.07/0.33 inference(resolution,[status(thm)],[f36,f21])).
% 0.07/0.33 fof(f58,plain,(
% 0.07/0.33 j(sK1_skl(h(sK0_skl)))=op1(j(sK1_skl(h(sK0_skl))),sK0_skl)),
% 0.07/0.33 inference(forward_demodulation,[status(thm)],[f35,f51])).
% 0.07/0.33 fof(f100,plain,(
% 0.07/0.33 ~op1(j(sK1_skl(h(sK0_skl))),sK0_skl)=j(sK1_skl(h(sK0_skl)))),
% 0.07/0.33 inference(resolution,[status(thm)],[f54,f14])).
% 0.07/0.33 fof(f108,plain,(
% 0.07/0.33 ~j(sK1_skl(h(sK0_skl)))=j(sK1_skl(h(sK0_skl)))),
% 0.07/0.33 inference(forward_demodulation,[status(thm)],[f58,f100])).
% 0.07/0.33 fof(f109,plain,(
% 0.07/0.33 $false),
% 0.07/0.33 inference(trivial_equality_resolution,[status(thm)],[f108])).
% 0.07/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.35 % Elapsed time: 0.044293 seconds
% 0.07/0.35 % CPU time: 0.114528 seconds
% 0.07/0.35 % Total memory used: 47.262 MB
% 0.07/0.35 % Net memory used: 46.725 MB
%------------------------------------------------------------------------------