%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG177+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 : n020.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 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG177+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 13:01:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f3,axiom,(
% 0.12/0.38 (? [U] :( sorti1(U)& (! [V] :( sorti1(V)=> op1(U,V) != V ) )) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,axiom,(
% 0.12/0.38 ~ (? [U] :( sorti2(U)& (! [V] :( sorti2(V)=> op2(U,V) != V ) )) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f5,conjecture,(
% 0.12/0.38 ( ( (! [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 ) )) ) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f6,negated_conjecture,(
% 0.12/0.38 ~(( ( (! [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 ) )) ) )),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f5])).
% 0.12/0.38 fof(f11,plain,(
% 0.12/0.38 ?[U]: (sorti1(U)&(![V]: (~sorti1(V)|~op1(U,V)=V)))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.12/0.38 fof(f12,plain,(
% 0.12/0.38 (sorti1(sK0_skl)&(![V]: (~sorti1(V)|~op1(sK0_skl,V)=V)))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl)],[f11])).
% 0.12/0.38 fof(f13,plain,(
% 0.12/0.38 sorti1(sK0_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.38 fof(f14,plain,(
% 0.12/0.38 ![X0]: (~sorti1(X0)|~op1(sK0_skl,X0)=X0)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.38 fof(f15,plain,(
% 0.12/0.38 (![U]: (~sorti2(U)|(?[V]: (sorti2(V)&op2(U,V)=V))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f16,plain,(
% 0.12/0.38 ![U]: (~sorti2(U)|(sorti2(sK1_skl(U))&op2(U,sK1_skl(U))=sK1_skl(U)))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(V,sK1_skl(U))],[f15])).
% 0.12/0.38 fof(f17,plain,(
% 0.12/0.38 ![X0]: (~sorti2(X0)|sorti2(sK1_skl(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.38 fof(f18,plain,(
% 0.12/0.38 ![X0]: (~sorti2(X0)|op2(X0,sK1_skl(X0))=sK1_skl(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.38 fof(f19,plain,(
% 0.12/0.38 (((![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))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.12/0.38 fof(f20,plain,(
% 0.12/0.38 ![X0]: (~sorti1(X0)|sorti2(h(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.38 fof(f21,plain,(
% 0.12/0.38 ![X0]: (~sorti2(X0)|sorti1(j(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.38 fof(f23,plain,(
% 0.12/0.38 ![X0,X1]: (~sorti2(X0)|~sorti2(X1)|j(op2(X0,X1))=op1(j(X0),j(X1)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.38 fof(f25,plain,(
% 0.12/0.38 ![X0]: (~sorti1(X0)|j(h(X0))=X0)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.38 fof(f27,plain,(
% 0.12/0.38 j(h(sK0_skl))=sK0_skl),
% 0.12/0.38 inference(resolution,[status(thm)],[f13,f25])).
% 0.12/0.38 fof(f29,plain,(
% 0.12/0.38 sorti2(h(sK0_skl))),
% 0.12/0.38 inference(resolution,[status(thm)],[f13,f20])).
% 0.12/0.38 fof(f30,plain,(
% 0.12/0.38 ![X0]: (~sorti2(X0)|j(op2(h(sK0_skl),X0))=op1(j(h(sK0_skl)),j(X0)))),
% 0.12/0.38 inference(resolution,[status(thm)],[f29,f23])).
% 0.12/0.38 fof(f34,plain,(
% 0.12/0.38 sorti2(sK1_skl(h(sK0_skl)))),
% 0.12/0.38 inference(resolution,[status(thm)],[f17,f29])).
% 0.12/0.38 fof(f40,plain,(
% 0.12/0.38 sorti1(j(sK1_skl(h(sK0_skl))))),
% 0.12/0.38 inference(resolution,[status(thm)],[f34,f21])).
% 0.12/0.38 fof(f43,plain,(
% 0.12/0.38 op2(h(sK0_skl),sK1_skl(h(sK0_skl)))=sK1_skl(h(sK0_skl))),
% 0.12/0.38 inference(resolution,[status(thm)],[f18,f29])).
% 0.12/0.38 fof(f54,plain,(
% 0.12/0.38 ~op1(sK0_skl,j(sK1_skl(h(sK0_skl))))=j(sK1_skl(h(sK0_skl)))),
% 0.12/0.38 inference(resolution,[status(thm)],[f40,f14])).
% 0.12/0.38 fof(f59,plain,(
% 0.12/0.38 ![X0]: (~sorti2(X0)|j(op2(h(sK0_skl),X0))=op1(sK0_skl,j(X0)))),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f27,f30])).
% 0.12/0.38 fof(f61,plain,(
% 0.12/0.38 j(op2(h(sK0_skl),sK1_skl(h(sK0_skl))))=op1(sK0_skl,j(sK1_skl(h(sK0_skl))))),
% 0.12/0.38 inference(resolution,[status(thm)],[f59,f34])).
% 0.12/0.38 fof(f168,plain,(
% 0.12/0.38 j(sK1_skl(h(sK0_skl)))=op1(sK0_skl,j(sK1_skl(h(sK0_skl))))),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f43,f61])).
% 0.12/0.38 fof(f344,plain,(
% 0.12/0.38 ~j(sK1_skl(h(sK0_skl)))=j(sK1_skl(h(sK0_skl)))),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f168,f54])).
% 0.12/0.38 fof(f345,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f344])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.044982 seconds
% 0.12/0.41 % CPU time: 0.132732 seconds
% 0.12/0.41 % Total memory used: 31.089 MB
% 0.12/0.41 % Net memory used: 30.773 MB
%------------------------------------------------------------------------------