%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG030+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 11:49:29 AM UTC 2026
% Result : Theorem 0.08s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG030+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n003.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 12:55:37 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.08/5.40 % Refutation found
% 0.08/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.08/5.40 fof(f1,axiom,(
% 0.08/5.40 (! [U] :( sorti1(U)=> (! [V] :( sorti1(V)=> sorti1(op1(U,V)) ) )) )),
% 0.08/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.40 fof(f3,axiom,(
% 0.08/5.40 ~ (! [U] :( sorti1(U)=> (! [V] :( sorti1(V)=> op1(U,V) = op1(V,U) ) )) )),
% 0.08/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.40 fof(f4,axiom,(
% 0.08/5.40 ~ ~ (! [U] :( sorti2(U)=> (! [V] :( sorti2(V)=> op2(U,V) = op2(V,U) ) )) )),
% 0.08/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.40 fof(f5,conjecture,(
% 0.08/5.40 ( ( (! [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 ) )) ) ),
% 0.08/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.40 fof(f6,negated_conjecture,(
% 0.08/5.40 ~(( ( (! [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 ) )) ) )),
% 0.08/5.40 inference(negated_conjecture,[status(cth)],[f5])).
% 0.08/5.40 fof(f7,plain,(
% 0.08/5.40 ![U]: (~sorti1(U)|(![V]: (~sorti1(V)|sorti1(op1(U,V)))))),
% 0.08/5.40 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.08/5.40 fof(f8,plain,(
% 0.08/5.40 ![X0,X1]: (~sorti1(X0)|~sorti1(X1)|sorti1(op1(X0,X1)))),
% 0.08/5.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/5.40 fof(f11,plain,(
% 0.08/5.40 (?[U]: (sorti1(U)&(?[V]: (sorti1(V)&~op1(U,V)=op1(V,U)))))),
% 0.08/5.40 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.08/5.40 fof(f12,plain,(
% 0.08/5.40 (sorti1(sK0_skl)&(sorti1(sK1_skl)&~op1(sK0_skl,sK1_skl)=op1(sK1_skl,sK0_skl)))),
% 0.08/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl)],[f11])).
% 0.08/5.40 fof(f13,plain,(
% 0.08/5.40 sorti1(sK0_skl)),
% 0.08/5.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/5.40 fof(f14,plain,(
% 0.08/5.40 sorti1(sK1_skl)),
% 0.08/5.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/5.40 fof(f15,plain,(
% 0.08/5.40 ~op1(sK0_skl,sK1_skl)=op1(sK1_skl,sK0_skl)),
% 0.08/5.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/5.40 fof(f16,plain,(
% 0.08/5.40 ![U]: (~sorti2(U)|(![V]: (~sorti2(V)|op2(U,V)=op2(V,U))))),
% 0.08/5.40 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.08/5.40 fof(f17,plain,(
% 0.08/5.40 ![X0,X1]: (~sorti2(X0)|~sorti2(X1)|op2(X0,X1)=op2(X1,X0))),
% 0.08/5.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.08/5.40 fof(f18,plain,(
% 0.08/5.40 (((![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))))),
% 0.08/5.40 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.08/5.40 fof(f19,plain,(
% 0.08/5.40 ![X0]: (~sorti1(X0)|sorti2(h(X0)))),
% 0.08/5.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.08/5.40 fof(f21,plain,(
% 0.08/5.40 ![X0,X1]: (~sorti1(X0)|~sorti1(X1)|h(op1(X0,X1))=op2(h(X0),h(X1)))),
% 0.08/5.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.08/5.40 fof(f24,plain,(
% 0.08/5.40 ![X0]: (~sorti1(X0)|j(h(X0))=X0)),
% 0.08/5.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.08/5.40 fof(f25,plain,(
% 0.08/5.40 ![X0]: (~sorti1(X0)|sorti1(op1(sK0_skl,X0)))),
% 0.08/5.40 inference(resolution,[status(thm)],[f13,f8])).
% 0.08/5.40 fof(f26,plain,(
% 0.08/5.40 ![X0]: (~sorti1(X0)|h(op1(X0,sK0_skl))=op2(h(X0),h(sK0_skl)))),
% 0.08/5.40 inference(resolution,[status(thm)],[f13,f21])).
% 0.08/5.40 fof(f28,plain,(
% 0.08/5.40 sorti2(h(sK0_skl))),
% 0.08/5.40 inference(resolution,[status(thm)],[f13,f19])).
% 0.08/5.40 fof(f29,plain,(
% 0.08/5.40 ![X0]: (~sorti2(X0)|op2(X0,h(sK0_skl))=op2(h(sK0_skl),X0))),
% 0.08/5.40 inference(resolution,[status(thm)],[f28,f17])).
% 0.08/5.40 fof(f50,plain,(
% 0.08/5.40 h(op1(sK1_skl,sK0_skl))=op2(h(sK1_skl),h(sK0_skl))),
% 0.08/5.40 inference(resolution,[status(thm)],[f14,f26])).
% 0.08/5.40 fof(f51,plain,(
% 0.08/5.40 sorti1(op1(sK0_skl,sK1_skl))),
% 0.08/5.40 inference(resolution,[status(thm)],[f14,f25])).
% 0.08/5.40 fof(f52,plain,(
% 0.08/5.40 ![X0]: (~sorti1(X0)|sorti1(op1(sK1_skl,X0)))),
% 0.08/5.40 inference(resolution,[status(thm)],[f14,f8])).
% 0.14/5.40 fof(f53,plain,(
% 0.14/5.40 ![X0]: (~sorti1(X0)|h(op1(X0,sK1_skl))=op2(h(X0),h(sK1_skl)))),
% 0.14/5.40 inference(resolution,[status(thm)],[f14,f21])).
% 0.14/5.40 fof(f55,plain,(
% 0.14/5.40 sorti2(h(sK1_skl))),
% 0.14/5.40 inference(resolution,[status(thm)],[f14,f19])).
% 0.14/5.40 fof(f56,plain,(
% 0.14/5.40 op2(h(sK1_skl),h(sK0_skl))=op2(h(sK0_skl),h(sK1_skl))),
% 0.14/5.40 inference(resolution,[status(thm)],[f55,f29])).
% 0.14/5.40 fof(f66,plain,(
% 0.14/5.40 j(h(op1(sK0_skl,sK1_skl)))=op1(sK0_skl,sK1_skl)),
% 0.14/5.40 inference(resolution,[status(thm)],[f51,f24])).
% 0.14/5.40 fof(f72,plain,(
% 0.14/5.40 sorti1(op1(sK1_skl,sK0_skl))),
% 0.14/5.40 inference(resolution,[status(thm)],[f52,f13])).
% 0.14/5.40 fof(f85,plain,(
% 0.14/5.40 j(h(op1(sK1_skl,sK0_skl)))=op1(sK1_skl,sK0_skl)),
% 0.14/5.40 inference(resolution,[status(thm)],[f72,f24])).
% 0.14/5.40 fof(f124,plain,(
% 0.14/5.40 h(op1(sK0_skl,sK1_skl))=op2(h(sK0_skl),h(sK1_skl))),
% 0.14/5.40 inference(resolution,[status(thm)],[f53,f13])).
% 0.14/5.40 fof(f622,plain,(
% 0.14/5.40 h(op1(sK1_skl,sK0_skl))=op2(h(sK0_skl),h(sK1_skl))),
% 0.14/5.40 inference(forward_demodulation,[status(thm)],[f50,f56])).
% 0.14/5.40 fof(f627,plain,(
% 0.14/5.40 h(op1(sK1_skl,sK0_skl))=h(op1(sK0_skl,sK1_skl))),
% 0.14/5.40 inference(forward_demodulation,[status(thm)],[f124,f622])).
% 0.14/5.40 fof(f722,plain,(
% 0.14/5.40 j(h(op1(sK0_skl,sK1_skl)))=op1(sK1_skl,sK0_skl)),
% 0.14/5.40 inference(forward_demodulation,[status(thm)],[f627,f85])).
% 0.14/5.40 fof(f723,plain,(
% 0.14/5.40 op1(sK0_skl,sK1_skl)=op1(sK1_skl,sK0_skl)),
% 0.14/5.40 inference(forward_demodulation,[status(thm)],[f66,f722])).
% 0.14/5.40 fof(f724,plain,(
% 0.14/5.40 $false),
% 0.14/5.40 inference(forward_subsumption_resolution,[status(thm)],[f723,f15])).
% 0.14/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.42 % Elapsed time: 0.050262 seconds
% 0.14/5.42 % CPU time: 0.166277 seconds
% 0.14/5.42 % Total memory used: 46.651 MB
% 0.14/5.42 % Net memory used: 46.036 MB
%------------------------------------------------------------------------------