%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG072+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 : n004.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 11:49:34 AM UTC 2026
% Result : Theorem 3.94s 0.97s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG072+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
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 12:55:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 3.94/0.97 % Refutation found
% 3.94/0.97 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.94/0.97 % SZS output start CNFRefutation for theBenchmark
% 3.94/0.97 fof(f2,axiom,(
% 3.94/0.97 ( (! [U] :( sorti1(U)=> ( op1(unit1,U) = U& op1(U,unit1) = U ) ))& (? [V] :( sorti1(V)& unit1 = V ) )) ),
% 3.94/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.94/0.97 fof(f4,axiom,(
% 3.94/0.97 ( (! [U] :( sorti2(U)=> ( op2(unit2,U) = U& op2(U,unit2) = U ) ))& (? [V] :( sorti2(V)& unit2 = V ) )) ),
% 3.94/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.94/0.97 fof(f7,axiom,(
% 3.94/0.97 (? [U] :( sorti1(U)& (! [V] :( sorti1(V)=> (! [W] :( sorti1(W)=> ( op1(V,W) != U| ( op1(V,U) = W& U != unit1 ) ) ) )) )) )),
% 3.94/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.94/0.97 fof(f8,axiom,(
% 3.94/0.97 ~ (? [U] :( sorti2(U)& (! [V] :( sorti2(V)=> (! [W] :( sorti2(W)=> ( op2(V,W) != U| ( op2(V,U) = W& U != unit2 ) ) ) )) )) )),
% 3.94/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.94/0.97 fof(f9,conjecture,(
% 3.94/0.97 ( ( (! [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 ) )) ) ),
% 3.94/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.94/0.97 fof(f10,negated_conjecture,(
% 3.94/0.97 ~(( ( (! [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 ) )) ) )),
% 3.94/0.97 inference(negated_conjecture,[status(cth)],[f9])).
% 3.94/0.97 fof(f12,plain,(
% 3.94/0.97 (![U]: (~sorti1(U)|(op1(unit1,U)=U&op1(U,unit1)=U)))&(?[V]: (sorti1(V)&unit1=V))),
% 3.94/0.97 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 3.94/0.97 fof(f13,plain,(
% 3.94/0.97 (![U]: (~sorti1(U)|(op1(unit1,U)=U&op1(U,unit1)=U)))&(sorti1(sK0_skl)&unit1=sK0_skl)),
% 3.94/0.97 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(V,sK0_skl)],[f12])).
% 3.94/0.97 fof(f15,plain,(
% 3.94/0.97 ![X0]: (~sorti1(X0)|op1(X0,unit1)=X0)),
% 3.94/0.97 inference(cnf_transformation,[status(thm)],[f13])).
% 3.94/0.97 fof(f16,plain,(
% 3.94/0.97 sorti1(sK0_skl)),
% 3.94/0.97 inference(cnf_transformation,[status(thm)],[f13])).
% 3.94/0.97 fof(f17,plain,(
% 3.94/0.97 unit1=sK0_skl),
% 3.94/0.97 inference(cnf_transformation,[status(thm)],[f13])).
% 3.94/0.97 fof(f19,plain,(
% 3.94/0.97 (![U]: (~sorti2(U)|(op2(unit2,U)=U&op2(U,unit2)=U)))&(?[V]: (sorti2(V)&unit2=V))),
% 3.94/0.97 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 3.94/0.97 fof(f20,plain,(
% 3.94/0.97 (![U]: (~sorti2(U)|(op2(unit2,U)=U&op2(U,unit2)=U)))&(sorti2(sK1_skl)&unit2=sK1_skl)),
% 3.94/0.97 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(V,sK1_skl)],[f19])).
% 3.94/0.97 fof(f21,plain,(
% 3.94/0.97 ![X0]: (~sorti2(X0)|op2(unit2,X0)=X0)),
% 3.94/0.97 inference(cnf_transformation,[status(thm)],[f20])).
% 3.94/0.97 fof(f23,plain,(
% 3.94/0.97 sorti2(sK1_skl)),
% 3.94/0.97 inference(cnf_transformation,[status(thm)],[f20])).
% 3.94/0.97 fof(f24,plain,(
% 3.94/0.97 unit2=sK1_skl),
% 3.94/0.97 inference(cnf_transformation,[status(thm)],[f20])).
% 3.94/0.97 fof(f29,plain,(
% 3.94/0.97 ?[U]: (sorti1(U)&(![V]: (~sorti1(V)|(![W]: (~sorti1(W)|(~op1(V,W)=U|(op1(V,U)=W&~U=unit1)))))))),
% 3.94/0.97 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 3.94/0.97 fof(f30,plain,(
% 3.94/0.97 (sorti1(sK2_skl)&(![V]: (~sorti1(V)|(![W]: (~sorti1(W)|(~op1(V,W)=sK2_skl|(op1(V,sK2_skl)=W&~sK2_skl=unit1)))))))),
% 3.94/0.97 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(U,sK2_skl)],[f29])).
% 3.94/0.97 fof(f31,plain,(
% 3.94/0.97 sorti1(sK2_skl)),
% 3.94/0.97 inference(cnf_transformation,[status(thm)],[f30])).
% 3.94/0.97 fof(f32,plain,(
% 3.94/0.97 ![X0,X1]: (~sorti1(X0)|~sorti1(X1)|~op1(X0,X1)=sK2_skl|op1(X0,sK2_skl)=X1)),
% 3.94/0.97 inference(cnf_transformation,[status(thm)],[f30])).
% 3.94/0.97 fof(f33,plain,(
% 3.94/0.97 ![X0,X1]: (~sorti1(X0)|~sorti1(X1)|~op1(X0,X1)=sK2_skl|~sK2_skl=unit1)),
% 3.94/0.97 inference(cnf_transformation,[status(thm)],[f30])).
% 3.94/0.97 fof(f34,plain,(
% 3.94/0.97 (![U]: (~sorti2(U)|(?[V]: (sorti2(V)&(?[W]: (sorti2(W)&(op2(V,W)=U&(~op2(V,U)=W|U=unit2))))))))),
% 3.94/0.97 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 3.94/0.97 fof(f35,plain,(
% 3.94/0.97 ![U]: (~sorti2(U)|(sorti2(sK3_skl(U))&(sorti2(sK4_skl(U))&(op2(sK3_skl(U),sK4_skl(U))=U&(~op2(sK3_skl(U),U)=sK4_skl(U)|U=unit2)))))),
% 3.94/0.98 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(V,sK3_skl(U)),skolemize(W,sK4_skl(U))],[f34])).
% 3.94/0.98 fof(f36,plain,(
% 3.94/0.98 ![X0]: (~sorti2(X0)|sorti2(sK3_skl(X0)))),
% 3.94/0.98 inference(cnf_transformation,[status(thm)],[f35])).
% 3.94/0.98 fof(f37,plain,(
% 3.94/0.98 ![X0]: (~sorti2(X0)|sorti2(sK4_skl(X0)))),
% 3.94/0.98 inference(cnf_transformation,[status(thm)],[f35])).
% 3.94/0.98 fof(f38,plain,(
% 3.94/0.98 ![X0]: (~sorti2(X0)|op2(sK3_skl(X0),sK4_skl(X0))=X0)),
% 3.94/0.98 inference(cnf_transformation,[status(thm)],[f35])).
% 3.94/0.98 fof(f39,plain,(
% 3.94/0.98 ![X0]: (~sorti2(X0)|~op2(sK3_skl(X0),X0)=sK4_skl(X0)|X0=unit2)),
% 3.94/0.98 inference(cnf_transformation,[status(thm)],[f35])).
% 3.94/0.98 fof(f40,plain,(
% 3.94/0.98 (((![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))))),
% 3.94/0.98 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 3.94/0.98 fof(f41,plain,(
% 3.94/0.98 ![X0]: (~sorti1(X0)|sorti2(h(X0)))),
% 3.94/0.98 inference(cnf_transformation,[status(thm)],[f40])).
% 3.94/0.98 fof(f42,plain,(
% 3.94/0.98 ![X0]: (~sorti2(X0)|sorti1(j(X0)))),
% 3.94/0.98 inference(cnf_transformation,[status(thm)],[f40])).
% 3.94/0.98 fof(f43,plain,(
% 3.94/0.98 ![X0,X1]: (~sorti1(X0)|~sorti1(X1)|h(op1(X0,X1))=op2(h(X0),h(X1)))),
% 3.94/0.98 inference(cnf_transformation,[status(thm)],[f40])).
% 3.94/0.98 fof(f44,plain,(
% 3.94/0.98 ![X0,X1]: (~sorti2(X0)|~sorti2(X1)|j(op2(X0,X1))=op1(j(X0),j(X1)))),
% 3.94/0.98 inference(cnf_transformation,[status(thm)],[f40])).
% 3.94/0.98 fof(f45,plain,(
% 3.94/0.98 ![X0]: (~sorti2(X0)|h(j(X0))=X0)),
% 3.94/0.98 inference(cnf_transformation,[status(thm)],[f40])).
% 3.94/0.98 fof(f46,plain,(
% 3.94/0.98 ![X0]: (~sorti1(X0)|j(h(X0))=X0)),
% 3.94/0.98 inference(cnf_transformation,[status(thm)],[f40])).
% 3.94/0.98 fof(f47,plain,(
% 3.94/0.98 ![X0]: (~sorti1(X0)|op1(X0,sK0_skl)=X0)),
% 3.94/0.98 inference(backward_demodulation,[status(thm)],[f17,f15])).
% 3.94/0.98 fof(f51,plain,(
% 3.94/0.98 ![X0]: (~sorti2(X0)|op2(sK1_skl,X0)=X0)),
% 3.94/0.98 inference(backward_demodulation,[status(thm)],[f24,f21])).
% 3.94/0.98 fof(f53,plain,(
% 3.94/0.98 ![X0,X1]: (~sorti1(X0)|~sorti1(X1)|~op1(X0,X1)=sK2_skl|~sK2_skl=sK0_skl)),
% 3.94/0.98 inference(forward_demodulation,[status(thm)],[f17,f33])).
% 3.94/0.98 fof(f54,plain,(
% 3.94/0.98 ![X0]: (~sorti2(X0)|~op2(sK3_skl(X0),X0)=sK4_skl(X0)|X0=sK1_skl)),
% 3.94/0.98 inference(forward_demodulation,[status(thm)],[f24,f39])).
% 3.94/0.98 fof(f58,plain,(
% 3.94/0.98 j(h(sK0_skl))=sK0_skl),
% 3.94/0.98 inference(resolution,[status(thm)],[f16,f46])).
% 3.94/0.98 fof(f59,plain,(
% 3.94/0.98 sorti2(h(sK0_skl))),
% 3.94/0.98 inference(resolution,[status(thm)],[f16,f41])).
% 3.94/0.98 fof(f61,plain,(
% 3.94/0.98 op2(sK1_skl,h(sK0_skl))=h(sK0_skl)),
% 3.94/0.98 inference(resolution,[status(thm)],[f59,f51])).
% 3.94/0.98 fof(f63,plain,(
% 3.94/0.98 ![X0]: (~sorti2(X0)|j(op2(X0,h(sK0_skl)))=op1(j(X0),j(h(sK0_skl))))),
% 3.94/0.98 inference(resolution,[status(thm)],[f59,f44])).
% 3.94/0.98 fof(f66,plain,(
% 3.94/0.98 ![X0]: (~sorti2(X0)|j(op2(X0,h(sK0_skl)))=op1(j(X0),sK0_skl))),
% 3.94/0.98 inference(forward_demodulation,[status(thm)],[f58,f63])).
% 3.94/0.98 fof(f76,plain,(
% 3.94/0.98 j(op2(sK1_skl,h(sK0_skl)))=op1(j(sK1_skl),sK0_skl)),
% 3.94/0.98 inference(resolution,[status(thm)],[f23,f66])).
% 3.94/0.98 fof(f77,plain,(
% 3.94/0.98 op2(sK3_skl(sK1_skl),sK4_skl(sK1_skl))=sK1_skl),
% 3.94/0.98 inference(resolution,[status(thm)],[f23,f38])).
% 3.94/0.98 fof(f82,plain,(
% 3.94/0.98 sorti1(j(sK1_skl))),
% 3.94/0.98 inference(resolution,[status(thm)],[f23,f42])).
% 3.94/0.98 fof(f83,plain,(
% 3.94/0.98 j(h(sK0_skl))=op1(j(sK1_skl),sK0_skl)),
% 3.94/0.98 inference(forward_demodulation,[status(thm)],[f61,f76])).
% 3.94/0.98 fof(f84,plain,(
% 3.94/0.98 sK0_skl=op1(j(sK1_skl),sK0_skl)),
% 3.94/0.98 inference(forward_demodulation,[status(thm)],[f58,f83])).
% 3.94/0.98 fof(f108,plain,(
% 3.94/0.98 ![X0]: (~sorti1(X0)|h(op1(X0,sK2_skl))=op2(h(X0),h(sK2_skl)))),
% 3.94/0.98 inference(resolution,[status(thm)],[f31,f43])).
% 3.94/0.98 fof(f109,plain,(
% 3.94/0.98 j(h(sK2_skl))=sK2_skl),
% 3.94/0.98 inference(resolution,[status(thm)],[f31,f46])).
% 3.94/0.98 fof(f110,plain,(
% 3.94/0.98 sorti2(h(sK2_skl))),
% 3.94/0.98 inference(resolution,[status(thm)],[f31,f41])).
% 3.94/0.98 fof(f113,plain,(
% 3.94/0.98 op2(sK3_skl(h(sK2_skl)),sK4_skl(h(sK2_skl)))=h(sK2_skl)),
% 3.94/0.98 inference(resolution,[status(thm)],[f110,f38])).
% 3.94/0.98 fof(f127,plain,(
% 3.94/0.98 ~sorti1(j(sK1_skl))|~sorti1(sK0_skl)|~sK0_skl=sK2_skl|~sK2_skl=sK0_skl),
% 3.94/0.98 inference(paramodulation,[status(thm)],[f84,f53])).
% 3.94/0.98 fof(f132,plain,(
% 3.94/0.98 ~sorti1(j(sK1_skl))|~sorti1(sK0_skl)|~sK0_skl=sK2_skl),
% 3.94/0.98 inference(duplicate_literals_removal,[status(thm)],[f127])).
% 3.94/0.98 fof(f133,plain,(
% 3.94/0.98 ~sorti1(sK0_skl)|~sK0_skl=sK2_skl),
% 3.94/0.98 inference(forward_subsumption_resolution,[status(thm)],[f132,f82])).
% 3.94/0.98 fof(f137,plain,(
% 3.94/0.98 sorti2(sK3_skl(h(sK2_skl)))),
% 3.94/0.98 inference(resolution,[status(thm)],[f36,f110])).
% 3.94/0.98 fof(f163,plain,(
% 3.94/0.98 ~sK0_skl=sK2_skl),
% 3.94/0.98 inference(resolution,[status(thm)],[f133,f16])).
% 3.94/0.98 fof(f172,plain,(
% 3.94/0.98 h(j(sK3_skl(h(sK2_skl))))=sK3_skl(h(sK2_skl))),
% 3.94/0.98 inference(resolution,[status(thm)],[f137,f45])).
% 3.94/0.98 fof(f173,plain,(
% 3.94/0.98 sorti1(j(sK3_skl(h(sK2_skl))))),
% 3.94/0.98 inference(resolution,[status(thm)],[f137,f42])).
% 3.94/0.98 fof(f249,plain,(
% 3.94/0.98 sorti2(sK4_skl(sK1_skl))),
% 3.94/0.98 inference(resolution,[status(thm)],[f37,f23])).
% 3.94/0.98 fof(f250,plain,(
% 3.94/0.98 sorti2(sK4_skl(h(sK2_skl)))),
% 3.94/0.98 inference(resolution,[status(thm)],[f37,f110])).
% 3.94/0.98 fof(f255,plain,(
% 3.94/0.98 op1(j(sK1_skl),sK0_skl)=j(sK1_skl)),
% 3.94/0.98 inference(resolution,[status(thm)],[f47,f82])).
% 3.94/0.98 fof(f282,plain,(
% 3.94/0.98 sK0_skl=j(sK1_skl)),
% 3.94/0.98 inference(forward_demodulation,[status(thm)],[f84,f255])).
% 3.94/0.98 fof(f336,plain,(
% 3.94/0.98 h(op1(j(sK3_skl(h(sK2_skl))),sK2_skl))=op2(h(j(sK3_skl(h(sK2_skl)))),h(sK2_skl))),
% 3.94/0.98 inference(resolution,[status(thm)],[f108,f173])).
% 3.94/0.98 fof(f340,plain,(
% 3.94/0.98 h(op1(j(sK3_skl(h(sK2_skl))),sK2_skl))=op2(sK3_skl(h(sK2_skl)),h(sK2_skl))),
% 3.94/0.98 inference(forward_demodulation,[status(thm)],[f172,f336])).
% 3.94/0.98 fof(f392,plain,(
% 3.94/0.98 ![X0]: (~sorti2(X0)|j(op2(X0,sK4_skl(sK1_skl)))=op1(j(X0),j(sK4_skl(sK1_skl))))),
% 3.94/0.98 inference(resolution,[status(thm)],[f249,f44])).
% 3.94/0.98 fof(f479,plain,(
% 3.94/0.98 ![X0]: (~sorti2(X0)|j(op2(X0,sK4_skl(h(sK2_skl))))=op1(j(X0),j(sK4_skl(h(sK2_skl)))))),
% 3.94/0.98 inference(resolution,[status(thm)],[f250,f44])).
% 3.94/0.98 fof(f480,plain,(
% 3.94/0.98 h(j(sK4_skl(h(sK2_skl))))=sK4_skl(h(sK2_skl))),
% 3.94/0.98 inference(resolution,[status(thm)],[f250,f45])).
% 3.94/0.98 fof(f481,plain,(
% 3.94/0.98 sorti1(j(sK4_skl(h(sK2_skl))))),
% 3.94/0.98 inference(resolution,[status(thm)],[f250,f42])).
% 3.94/0.98 fof(f490,plain,(
% 3.94/0.98 ![X0]: (~sorti1(X0)|~op1(X0,j(sK4_skl(h(sK2_skl))))=sK2_skl|op1(X0,sK2_skl)=j(sK4_skl(h(sK2_skl))))),
% 3.94/0.98 inference(resolution,[status(thm)],[f481,f32])).
% 3.94/0.98 fof(f615,plain,(
% 3.94/0.98 j(op2(sK3_skl(h(sK2_skl)),sK4_skl(sK1_skl)))=op1(j(sK3_skl(h(sK2_skl))),j(sK4_skl(sK1_skl)))),
% 3.94/0.98 inference(resolution,[status(thm)],[f392,f137])).
% 3.94/0.98 fof(f1845,plain,(
% 3.94/0.98 j(op2(sK3_skl(h(sK2_skl)),sK4_skl(h(sK2_skl))))=op1(j(sK3_skl(h(sK2_skl))),j(sK4_skl(h(sK2_skl))))),
% 3.94/0.98 inference(resolution,[status(thm)],[f479,f137])).
% 3.94/0.98 fof(f1867,plain,(
% 3.94/0.98 j(h(sK2_skl))=op1(j(sK3_skl(h(sK2_skl))),j(sK4_skl(h(sK2_skl))))),
% 3.94/0.98 inference(forward_demodulation,[status(thm)],[f113,f1845])).
% 3.94/0.98 fof(f1869,plain,(
% 3.94/0.98 sK2_skl=op1(j(sK3_skl(h(sK2_skl))),j(sK4_skl(h(sK2_skl))))),
% 3.94/0.98 inference(forward_demodulation,[status(thm)],[f109,f1867])).
% 3.94/0.98 fof(f1917,plain,(
% 3.94/0.98 ~sorti1(j(sK3_skl(h(sK2_skl))))|op1(j(sK3_skl(h(sK2_skl))),sK2_skl)=j(sK4_skl(h(sK2_skl)))),
% 3.94/0.98 inference(resolution,[status(thm)],[f1869,f490])).
% 3.94/0.98 fof(f1924,plain,(
% 3.94/0.98 h(j(sK4_skl(h(sK2_skl))))=op2(sK3_skl(h(sK2_skl)),h(sK2_skl))),
% 3.94/0.98 inference(backward_demodulation,[status(thm)],[f1927,f340])).
% 3.94/0.98 fof(f1927,plain,(
% 3.94/0.98 op1(j(sK3_skl(h(sK2_skl))),sK2_skl)=j(sK4_skl(h(sK2_skl)))),
% 3.94/0.98 inference(forward_subsumption_resolution,[status(thm)],[f1917,f173])).
% 3.94/0.98 fof(f1929,plain,(
% 3.94/0.98 sK4_skl(h(sK2_skl))=op2(sK3_skl(h(sK2_skl)),h(sK2_skl))),
% 3.94/0.98 inference(forward_demodulation,[status(thm)],[f480,f1924])).
% 3.94/0.98 fof(f1930,plain,(
% 3.94/0.98 ~sorti2(h(sK2_skl))|h(sK2_skl)=sK1_skl),
% 3.94/0.98 inference(resolution,[status(thm)],[f1929,f54])).
% 3.94/0.98 fof(f1933,plain,(
% 3.94/0.98 sK2_skl=op1(j(sK3_skl(h(sK2_skl))),j(sK4_skl(sK1_skl)))),
% 3.94/0.98 inference(backward_demodulation,[status(thm)],[f2544,f1869])).
% 3.94/0.98 fof(f2029,plain,(
% 3.94/0.98 j(op2(sK3_skl(h(sK2_skl)),sK4_skl(sK1_skl)))=op1(j(sK3_skl(sK1_skl)),j(sK4_skl(sK1_skl)))),
% 3.94/0.98 inference(backward_demodulation,[status(thm)],[f2544,f615])).
% 3.94/0.98 fof(f2544,plain,(
% 3.94/0.98 h(sK2_skl)=sK1_skl),
% 3.94/0.98 inference(forward_subsumption_resolution,[status(thm)],[f1930,f110])).
% 3.94/0.98 fof(f2552,plain,(
% 3.94/0.98 sK2_skl=op1(j(sK3_skl(sK1_skl)),j(sK4_skl(sK1_skl)))),
% 3.94/0.98 inference(forward_demodulation,[status(thm)],[f2544,f1933])).
% 3.94/0.98 fof(f2771,plain,(
% 3.94/0.98 j(op2(sK3_skl(sK1_skl),sK4_skl(sK1_skl)))=op1(j(sK3_skl(sK1_skl)),j(sK4_skl(sK1_skl)))),
% 3.94/0.98 inference(forward_demodulation,[status(thm)],[f2544,f2029])).
% 3.94/1.00 fof(f2772,plain,(
% 3.94/1.00 j(sK1_skl)=op1(j(sK3_skl(sK1_skl)),j(sK4_skl(sK1_skl)))),
% 3.94/1.00 inference(forward_demodulation,[status(thm)],[f77,f2771])).
% 3.94/1.00 fof(f2773,plain,(
% 3.94/1.00 sK0_skl=op1(j(sK3_skl(sK1_skl)),j(sK4_skl(sK1_skl)))),
% 3.94/1.00 inference(forward_demodulation,[status(thm)],[f282,f2772])).
% 3.94/1.00 fof(f2774,plain,(
% 3.94/1.00 sK0_skl=sK2_skl),
% 3.94/1.00 inference(forward_demodulation,[status(thm)],[f2552,f2773])).
% 3.94/1.00 fof(f2775,plain,(
% 3.94/1.00 $false),
% 3.94/1.00 inference(forward_subsumption_resolution,[status(thm)],[f2774,f163])).
% 3.94/1.00 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/1.02 % Elapsed time: 0.637211 seconds
% 0.25/1.02 % CPU time: 4.657586 seconds
% 0.25/1.02 % Total memory used: 144.317 MB
% 0.25/1.02 % Net memory used: 140.780 MB
%------------------------------------------------------------------------------