TSTP Solution File: ALG072+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG072+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:09:26 EDT 2024
% Result : Theorem 8.44s 1.45s
% Output : CNFRefutation 8.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG072+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:33:36 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 8.44/1.45 % Refutation found
% 8.44/1.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.44/1.45 % SZS output start CNFRefutation for theBenchmark
% 8.44/1.45 fof(f1,axiom,(
% 8.44/1.45 sorti1(unit1) ),
% 8.44/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.44/1.45 fof(f2,axiom,(
% 8.44/1.45 ( (! [U] :( sorti1(U)=> ( op1(unit1,U) = U& op1(U,unit1) = U ) ))& (? [V] :( sorti1(V)& unit1 = V ) )) ),
% 8.44/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.44/1.45 fof(f3,axiom,(
% 8.44/1.45 sorti2(unit2) ),
% 8.44/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.44/1.45 fof(f4,axiom,(
% 8.44/1.45 ( (! [U] :( sorti2(U)=> ( op2(unit2,U) = U& op2(U,unit2) = U ) ))& (? [V] :( sorti2(V)& unit2 = V ) )) ),
% 8.44/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.44/1.45 fof(f7,axiom,(
% 8.44/1.45 (? [U] :( sorti1(U)& (! [V] :( sorti1(V)=> (! [W] :( sorti1(W)=> ( op1(V,W) != U| ( op1(V,U) = W& U != unit1 ) ) ) )) )) )),
% 8.44/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.44/1.45 fof(f8,axiom,(
% 8.44/1.45 ~ (? [U] :( sorti2(U)& (! [V] :( sorti2(V)=> (! [W] :( sorti2(W)=> ( op2(V,W) != U| ( op2(V,U) = W& U != unit2 ) ) ) )) )) )),
% 8.44/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.44/1.45 fof(f9,conjecture,(
% 8.44/1.45 ( ( (! [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 ) )) ) ),
% 8.44/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.44/1.45 fof(f10,negated_conjecture,(
% 8.44/1.45 ~(( ( (! [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 ) )) ) )),
% 8.44/1.45 inference(negated_conjecture,[status(cth)],[f9])).
% 8.44/1.45 fof(f11,plain,(
% 8.44/1.45 sorti1(unit1)),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f1])).
% 8.44/1.45 fof(f12,plain,(
% 8.44/1.45 (![U]: (~sorti1(U)|(op1(unit1,U)=U&op1(U,unit1)=U)))&(?[V]: (sorti1(V)&unit1=V))),
% 8.44/1.45 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 8.44/1.45 fof(f13,plain,(
% 8.44/1.45 (![U]: (~sorti1(U)|(op1(unit1,U)=U&op1(U,unit1)=U)))&(sorti1(sk0_0)&unit1=sk0_0)),
% 8.44/1.45 inference(skolemization,[status(esa)],[f12])).
% 8.44/1.45 fof(f14,plain,(
% 8.44/1.45 ![X0]: (~sorti1(X0)|op1(unit1,X0)=X0)),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f13])).
% 8.44/1.45 fof(f15,plain,(
% 8.44/1.45 ![X0]: (~sorti1(X0)|op1(X0,unit1)=X0)),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f13])).
% 8.44/1.45 fof(f18,plain,(
% 8.44/1.45 sorti2(unit2)),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f3])).
% 8.44/1.45 fof(f19,plain,(
% 8.44/1.45 (![U]: (~sorti2(U)|(op2(unit2,U)=U&op2(U,unit2)=U)))&(?[V]: (sorti2(V)&unit2=V))),
% 8.44/1.45 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 8.44/1.45 fof(f20,plain,(
% 8.44/1.45 (![U]: (~sorti2(U)|(op2(unit2,U)=U&op2(U,unit2)=U)))&(sorti2(sk0_1)&unit2=sk0_1)),
% 8.44/1.45 inference(skolemization,[status(esa)],[f19])).
% 8.44/1.45 fof(f21,plain,(
% 8.44/1.45 ![X0]: (~sorti2(X0)|op2(unit2,X0)=X0)),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f20])).
% 8.44/1.45 fof(f29,plain,(
% 8.44/1.45 ?[U]: (sorti1(U)&(![V]: (~sorti1(V)|(![W]: (~sorti1(W)|(~op1(V,W)=U|(op1(V,U)=W&~U=unit1)))))))),
% 8.44/1.45 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 8.44/1.45 fof(f30,plain,(
% 8.44/1.45 (sorti1(sk0_2)&(![V]: (~sorti1(V)|(![W]: (~sorti1(W)|(~op1(V,W)=sk0_2|(op1(V,sk0_2)=W&~sk0_2=unit1)))))))),
% 8.44/1.45 inference(skolemization,[status(esa)],[f29])).
% 8.44/1.45 fof(f31,plain,(
% 8.44/1.45 sorti1(sk0_2)),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f30])).
% 8.44/1.45 fof(f32,plain,(
% 8.44/1.45 ![X0,X1]: (~sorti1(X0)|~sorti1(X1)|~op1(X0,X1)=sk0_2|op1(X0,sk0_2)=X1)),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f30])).
% 8.44/1.45 fof(f33,plain,(
% 8.44/1.45 ![X0,X1]: (~sorti1(X0)|~sorti1(X1)|~op1(X0,X1)=sk0_2|~sk0_2=unit1)),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f30])).
% 8.44/1.45 fof(f34,plain,(
% 8.44/1.45 (![U]: (~sorti2(U)|(?[V]: (sorti2(V)&(?[W]: (sorti2(W)&(op2(V,W)=U&(~op2(V,U)=W|U=unit2))))))))),
% 8.44/1.45 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 8.44/1.45 fof(f35,plain,(
% 8.44/1.45 ![U]: (~sorti2(U)|(sorti2(sk0_3(U))&(sorti2(sk0_4(U))&(op2(sk0_3(U),sk0_4(U))=U&(~op2(sk0_3(U),U)=sk0_4(U)|U=unit2)))))),
% 8.44/1.45 inference(skolemization,[status(esa)],[f34])).
% 8.44/1.45 fof(f36,plain,(
% 8.44/1.45 ![X0]: (~sorti2(X0)|sorti2(sk0_3(X0)))),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f35])).
% 8.44/1.45 fof(f37,plain,(
% 8.44/1.45 ![X0]: (~sorti2(X0)|sorti2(sk0_4(X0)))),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f35])).
% 8.44/1.45 fof(f38,plain,(
% 8.44/1.45 ![X0]: (~sorti2(X0)|op2(sk0_3(X0),sk0_4(X0))=X0)),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f35])).
% 8.44/1.45 fof(f39,plain,(
% 8.44/1.45 ![X0]: (~sorti2(X0)|~op2(sk0_3(X0),X0)=sk0_4(X0)|X0=unit2)),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f35])).
% 8.44/1.45 fof(f40,plain,(
% 8.44/1.45 (((![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))))),
% 8.44/1.45 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 8.44/1.45 fof(f41,plain,(
% 8.44/1.45 ![X0]: (~sorti1(X0)|sorti2(h(X0)))),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f40])).
% 8.44/1.45 fof(f42,plain,(
% 8.44/1.45 ![X0]: (~sorti2(X0)|sorti1(j(X0)))),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f40])).
% 8.44/1.45 fof(f43,plain,(
% 8.44/1.45 ![X0,X1]: (~sorti1(X0)|~sorti1(X1)|h(op1(X0,X1))=op2(h(X0),h(X1)))),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f40])).
% 8.44/1.45 fof(f44,plain,(
% 8.44/1.45 ![X0,X1]: (~sorti2(X0)|~sorti2(X1)|j(op2(X0,X1))=op1(j(X0),j(X1)))),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f40])).
% 8.44/1.45 fof(f45,plain,(
% 8.44/1.45 ![X0]: (~sorti2(X0)|h(j(X0))=X0)),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f40])).
% 8.44/1.45 fof(f46,plain,(
% 8.44/1.45 ![X0]: (~sorti1(X0)|j(h(X0))=X0)),
% 8.44/1.45 inference(cnf_transformation,[status(esa)],[f40])).
% 8.44/1.45 fof(f47,plain,(
% 8.44/1.45 spl0_0 <=> ~sorti1(X0)|~sorti1(X1)|~op1(X0,X1)=sk0_2),
% 8.44/1.45 introduced(split_symbol_definition)).
% 8.44/1.45 fof(f48,plain,(
% 8.44/1.45 ![X0,X1]: (~sorti1(X0)|~sorti1(X1)|~op1(X0,X1)=sk0_2|~spl0_0)),
% 8.44/1.45 inference(component_clause,[status(thm)],[f47])).
% 8.44/1.45 fof(f50,plain,(
% 8.44/1.45 spl0_1 <=> sk0_2=unit1),
% 8.44/1.45 introduced(split_symbol_definition)).
% 8.44/1.45 fof(f52,plain,(
% 8.44/1.45 ~sk0_2=unit1|spl0_1),
% 8.44/1.45 inference(component_clause,[status(thm)],[f50])).
% 8.44/1.45 fof(f53,plain,(
% 8.44/1.45 spl0_0|~spl0_1),
% 8.44/1.45 inference(split_clause,[status(thm)],[f33,f47,f50])).
% 8.44/1.45 fof(f58,plain,(
% 8.44/1.45 j(h(unit1))=unit1),
% 8.44/1.45 inference(resolution,[status(thm)],[f11,f46])).
% 8.44/1.45 fof(f59,plain,(
% 8.44/1.45 sorti2(h(unit1))),
% 8.44/1.45 inference(resolution,[status(thm)],[f11,f41])).
% 8.44/1.45 fof(f61,plain,(
% 8.44/1.45 ![X0]: (~sorti2(X0)|j(op2(X0,h(unit1)))=op1(j(X0),j(h(unit1))))),
% 8.44/1.45 inference(resolution,[status(thm)],[f59,f44])).
% 8.44/1.45 fof(f62,plain,(
% 8.44/1.45 ![X0]: (~sorti2(X0)|j(op2(X0,h(unit1)))=op1(j(X0),unit1))),
% 8.44/1.45 inference(forward_demodulation,[status(thm)],[f58,f61])).
% 8.44/1.45 fof(f95,plain,(
% 8.44/1.45 j(op2(unit2,h(unit1)))=op1(j(unit2),unit1)),
% 8.44/1.45 inference(resolution,[status(thm)],[f18,f62])).
% 8.44/1.45 fof(f100,plain,(
% 8.44/1.45 sorti1(j(unit2))),
% 8.44/1.45 inference(resolution,[status(thm)],[f18,f42])).
% 8.44/1.45 fof(f104,plain,(
% 8.44/1.45 ![X0]: (~sorti1(X0)|h(op1(X0,sk0_2))=op2(h(X0),h(sk0_2)))),
% 8.44/1.45 inference(resolution,[status(thm)],[f31,f43])).
% 8.44/1.45 fof(f105,plain,(
% 8.44/1.45 j(h(sk0_2))=sk0_2),
% 8.44/1.45 inference(resolution,[status(thm)],[f31,f46])).
% 8.44/1.45 fof(f106,plain,(
% 8.44/1.45 sorti2(h(sk0_2))),
% 8.44/1.45 inference(resolution,[status(thm)],[f31,f41])).
% 8.44/1.45 fof(f117,plain,(
% 8.44/1.45 sorti2(sk0_3(unit2))),
% 8.44/1.45 inference(resolution,[status(thm)],[f36,f18])).
% 8.44/1.45 fof(f118,plain,(
% 8.44/1.45 sorti2(sk0_3(h(sk0_2)))),
% 8.44/1.45 inference(resolution,[status(thm)],[f36,f106])).
% 8.44/1.45 fof(f129,plain,(
% 8.44/1.45 sorti2(sk0_4(unit2))),
% 8.44/1.45 inference(resolution,[status(thm)],[f37,f18])).
% 8.44/1.45 fof(f130,plain,(
% 8.44/1.45 sorti2(sk0_4(h(sk0_2)))),
% 8.44/1.45 inference(resolution,[status(thm)],[f37,f106])).
% 8.44/1.45 fof(f138,plain,(
% 8.44/1.45 ![X0]: (~sorti2(X0)|j(op2(X0,sk0_4(unit2)))=op1(j(X0),j(sk0_4(unit2))))),
% 8.44/1.45 inference(resolution,[status(thm)],[f129,f44])).
% 8.44/1.45 fof(f153,plain,(
% 8.44/1.45 h(j(sk0_3(h(sk0_2))))=sk0_3(h(sk0_2))),
% 8.44/1.45 inference(resolution,[status(thm)],[f118,f45])).
% 8.44/1.45 fof(f154,plain,(
% 8.44/1.45 sorti1(j(sk0_3(h(sk0_2))))),
% 8.44/1.45 inference(resolution,[status(thm)],[f118,f42])).
% 8.44/1.45 fof(f185,plain,(
% 8.44/1.45 op1(unit1,unit1)=unit1),
% 8.44/1.45 inference(resolution,[status(thm)],[f14,f11])).
% 8.44/1.45 fof(f264,plain,(
% 8.44/1.45 op2(unit2,h(unit1))=h(unit1)),
% 8.44/1.45 inference(resolution,[status(thm)],[f21,f59])).
% 8.44/1.45 fof(f265,plain,(
% 8.44/1.45 j(h(unit1))=op1(j(unit2),unit1)),
% 8.44/1.45 inference(backward_demodulation,[status(thm)],[f264,f95])).
% 8.44/1.45 fof(f266,plain,(
% 8.44/1.45 unit1=op1(j(unit2),unit1)),
% 8.44/1.45 inference(forward_demodulation,[status(thm)],[f58,f265])).
% 8.44/1.45 fof(f273,plain,(
% 8.44/1.45 ![X0]: (~sorti2(X0)|j(op2(X0,sk0_4(h(sk0_2))))=op1(j(X0),j(sk0_4(h(sk0_2)))))),
% 8.44/1.45 inference(resolution,[status(thm)],[f130,f44])).
% 8.44/1.45 fof(f274,plain,(
% 8.44/1.45 h(j(sk0_4(h(sk0_2))))=sk0_4(h(sk0_2))),
% 8.44/1.45 inference(resolution,[status(thm)],[f130,f45])).
% 8.44/1.45 fof(f275,plain,(
% 8.44/1.45 sorti1(j(sk0_4(h(sk0_2))))),
% 8.44/1.45 inference(resolution,[status(thm)],[f130,f42])).
% 8.44/1.45 fof(f408,plain,(
% 8.44/1.45 op1(j(unit2),unit1)=j(unit2)),
% 8.44/1.45 inference(resolution,[status(thm)],[f100,f15])).
% 8.44/1.45 fof(f409,plain,(
% 8.44/1.45 unit1=j(unit2)),
% 8.44/1.45 inference(forward_demodulation,[status(thm)],[f266,f408])).
% 8.44/1.45 fof(f534,plain,(
% 8.44/1.45 h(op1(j(sk0_3(h(sk0_2))),sk0_2))=op2(h(j(sk0_3(h(sk0_2)))),h(sk0_2))),
% 8.44/1.45 inference(resolution,[status(thm)],[f104,f154])).
% 8.44/1.45 fof(f535,plain,(
% 8.44/1.45 h(op1(j(sk0_3(h(sk0_2))),sk0_2))=op2(sk0_3(h(sk0_2)),h(sk0_2))),
% 8.44/1.45 inference(forward_demodulation,[status(thm)],[f153,f534])).
% 8.44/1.45 fof(f1056,plain,(
% 8.44/1.45 spl0_3 <=> sorti1(unit1)),
% 8.44/1.45 introduced(split_symbol_definition)).
% 8.44/1.45 fof(f1058,plain,(
% 8.44/1.45 ~sorti1(unit1)|spl0_3),
% 8.44/1.45 inference(component_clause,[status(thm)],[f1056])).
% 8.44/1.45 fof(f1104,plain,(
% 8.44/1.45 $false|spl0_3),
% 8.44/1.45 inference(forward_subsumption_resolution,[status(thm)],[f1058,f11])).
% 8.44/1.45 fof(f1105,plain,(
% 8.44/1.45 spl0_3),
% 8.44/1.45 inference(contradiction_clause,[status(thm)],[f1104])).
% 8.44/1.45 fof(f1491,plain,(
% 8.44/1.45 op2(sk0_3(unit2),sk0_4(unit2))=unit2),
% 8.44/1.45 inference(resolution,[status(thm)],[f38,f18])).
% 8.44/1.45 fof(f1492,plain,(
% 8.44/1.45 op2(sk0_3(h(sk0_2)),sk0_4(h(sk0_2)))=h(sk0_2)),
% 8.44/1.45 inference(resolution,[status(thm)],[f38,f106])).
% 8.44/1.45 fof(f1494,plain,(
% 8.44/1.45 spl0_13 <=> sorti2(unit2)),
% 8.44/1.45 introduced(split_symbol_definition)).
% 8.44/1.45 fof(f1496,plain,(
% 8.44/1.45 ~sorti2(unit2)|spl0_13),
% 8.44/1.45 inference(component_clause,[status(thm)],[f1494])).
% 8.44/1.45 fof(f1690,plain,(
% 8.44/1.45 j(op2(sk0_3(unit2),sk0_4(unit2)))=op1(j(sk0_3(unit2)),j(sk0_4(unit2)))),
% 8.44/1.45 inference(resolution,[status(thm)],[f138,f117])).
% 8.44/1.45 fof(f1691,plain,(
% 8.44/1.45 j(unit2)=op1(j(sk0_3(unit2)),j(sk0_4(unit2)))),
% 8.44/1.45 inference(forward_demodulation,[status(thm)],[f1491,f1690])).
% 8.44/1.45 fof(f1692,plain,(
% 8.44/1.45 unit1=op1(j(sk0_3(unit2)),j(sk0_4(unit2)))),
% 8.44/1.45 inference(forward_demodulation,[status(thm)],[f409,f1691])).
% 8.44/1.45 fof(f1722,plain,(
% 8.44/1.45 spl0_17 <=> sorti1(j(sk0_3(h(sk0_2))))),
% 8.44/1.45 introduced(split_symbol_definition)).
% 8.44/1.45 fof(f1724,plain,(
% 8.44/1.45 ~sorti1(j(sk0_3(h(sk0_2))))|spl0_17),
% 8.44/1.45 inference(component_clause,[status(thm)],[f1722])).
% 8.44/1.45 fof(f1733,plain,(
% 8.44/1.45 $false|spl0_17),
% 8.44/1.45 inference(forward_subsumption_resolution,[status(thm)],[f1724,f154])).
% 8.44/1.45 fof(f1734,plain,(
% 8.44/1.45 spl0_17),
% 8.44/1.45 inference(contradiction_clause,[status(thm)],[f1733])).
% 8.44/1.45 fof(f1761,plain,(
% 8.44/1.45 spl0_26 <=> sorti1(j(sk0_4(h(sk0_2))))),
% 8.44/1.45 introduced(split_symbol_definition)).
% 8.44/1.45 fof(f1763,plain,(
% 8.44/1.45 ~sorti1(j(sk0_4(h(sk0_2))))|spl0_26),
% 8.44/1.45 inference(component_clause,[status(thm)],[f1761])).
% 8.44/1.45 fof(f1772,plain,(
% 8.44/1.45 $false|spl0_26),
% 8.44/1.45 inference(forward_subsumption_resolution,[status(thm)],[f1763,f275])).
% 8.44/1.45 fof(f1773,plain,(
% 8.44/1.45 spl0_26),
% 8.44/1.45 inference(contradiction_clause,[status(thm)],[f1772])).
% 8.44/1.45 fof(f2912,plain,(
% 8.44/1.45 j(op2(sk0_3(h(sk0_2)),sk0_4(h(sk0_2))))=op1(j(sk0_3(h(sk0_2))),j(sk0_4(h(sk0_2))))),
% 8.44/1.45 inference(resolution,[status(thm)],[f273,f118])).
% 8.44/1.45 fof(f2913,plain,(
% 8.44/1.45 j(h(sk0_2))=op1(j(sk0_3(h(sk0_2))),j(sk0_4(h(sk0_2))))),
% 8.44/1.45 inference(forward_demodulation,[status(thm)],[f1492,f2912])).
% 8.44/1.45 fof(f2914,plain,(
% 8.44/1.45 sk0_2=op1(j(sk0_3(h(sk0_2))),j(sk0_4(h(sk0_2))))),
% 8.44/1.45 inference(forward_demodulation,[status(thm)],[f105,f2913])).
% 8.44/1.45 fof(f2927,plain,(
% 8.44/1.45 spl0_62 <=> op1(j(sk0_3(h(sk0_2))),sk0_2)=j(sk0_4(h(sk0_2)))),
% 8.44/1.45 introduced(split_symbol_definition)).
% 8.44/1.45 fof(f2928,plain,(
% 8.44/1.45 op1(j(sk0_3(h(sk0_2))),sk0_2)=j(sk0_4(h(sk0_2)))|~spl0_62),
% 8.44/1.45 inference(component_clause,[status(thm)],[f2927])).
% 8.44/1.45 fof(f2930,plain,(
% 8.44/1.45 ~sorti1(j(sk0_3(h(sk0_2))))|~sorti1(j(sk0_4(h(sk0_2))))|op1(j(sk0_3(h(sk0_2))),sk0_2)=j(sk0_4(h(sk0_2)))),
% 8.44/1.45 inference(resolution,[status(thm)],[f2914,f32])).
% 8.44/1.45 fof(f2931,plain,(
% 8.44/1.45 ~spl0_17|~spl0_26|spl0_62),
% 8.44/1.45 inference(split_clause,[status(thm)],[f2930,f1722,f1761,f2927])).
% 8.44/1.45 fof(f2936,plain,(
% 8.44/1.45 h(j(sk0_4(h(sk0_2))))=op2(sk0_3(h(sk0_2)),h(sk0_2))|~spl0_62),
% 8.44/1.45 inference(backward_demodulation,[status(thm)],[f2928,f535])).
% 8.44/1.46 fof(f2937,plain,(
% 8.44/1.46 sk0_4(h(sk0_2))=op2(sk0_3(h(sk0_2)),h(sk0_2))|~spl0_62),
% 8.44/1.46 inference(forward_demodulation,[status(thm)],[f274,f2936])).
% 8.44/1.46 fof(f3538,plain,(
% 8.44/1.46 spl0_63 <=> sorti2(h(sk0_2))),
% 8.44/1.46 introduced(split_symbol_definition)).
% 8.44/1.46 fof(f3540,plain,(
% 8.44/1.46 ~sorti2(h(sk0_2))|spl0_63),
% 8.44/1.46 inference(component_clause,[status(thm)],[f3538])).
% 8.44/1.46 fof(f3541,plain,(
% 8.44/1.46 spl0_64 <=> h(sk0_2)=unit2),
% 8.44/1.46 introduced(split_symbol_definition)).
% 8.44/1.46 fof(f3542,plain,(
% 8.44/1.46 h(sk0_2)=unit2|~spl0_64),
% 8.44/1.46 inference(component_clause,[status(thm)],[f3541])).
% 8.44/1.46 fof(f3544,plain,(
% 8.44/1.46 ~sorti2(h(sk0_2))|h(sk0_2)=unit2|~spl0_62),
% 8.44/1.46 inference(resolution,[status(thm)],[f2937,f39])).
% 8.44/1.46 fof(f3545,plain,(
% 8.44/1.46 ~spl0_63|spl0_64|~spl0_62),
% 8.44/1.46 inference(split_clause,[status(thm)],[f3544,f3538,f3541,f2927])).
% 8.44/1.46 fof(f3551,plain,(
% 8.44/1.46 $false|spl0_63),
% 8.44/1.46 inference(forward_subsumption_resolution,[status(thm)],[f3540,f106])).
% 8.44/1.46 fof(f3552,plain,(
% 8.44/1.46 spl0_63),
% 8.44/1.46 inference(contradiction_clause,[status(thm)],[f3551])).
% 8.44/1.46 fof(f3580,plain,(
% 8.44/1.46 sk0_2=op1(j(sk0_3(h(sk0_2))),j(sk0_4(unit2)))|~spl0_64),
% 8.44/1.46 inference(backward_demodulation,[status(thm)],[f3542,f2914])).
% 8.44/1.46 fof(f3581,plain,(
% 8.44/1.46 sk0_2=op1(j(sk0_3(unit2)),j(sk0_4(unit2)))|~spl0_64),
% 8.44/1.46 inference(forward_demodulation,[status(thm)],[f3542,f3580])).
% 8.44/1.46 fof(f3582,plain,(
% 8.44/1.46 sk0_2=unit1|~spl0_64),
% 8.44/1.46 inference(forward_demodulation,[status(thm)],[f1692,f3581])).
% 8.44/1.46 fof(f3583,plain,(
% 8.44/1.46 $false|spl0_1|~spl0_64),
% 8.44/1.46 inference(forward_subsumption_resolution,[status(thm)],[f3582,f52])).
% 8.44/1.46 fof(f3584,plain,(
% 8.44/1.46 spl0_1|~spl0_64),
% 8.44/1.46 inference(contradiction_clause,[status(thm)],[f3583])).
% 8.44/1.46 fof(f3657,plain,(
% 8.44/1.46 j(unit2)=sk0_2|~spl0_64),
% 8.44/1.46 inference(backward_demodulation,[status(thm)],[f3542,f105])).
% 8.44/1.46 fof(f3658,plain,(
% 8.44/1.46 unit1=sk0_2|~spl0_64),
% 8.44/1.46 inference(forward_demodulation,[status(thm)],[f409,f3657])).
% 8.44/1.46 fof(f4645,plain,(
% 8.44/1.46 $false|spl0_13),
% 8.44/1.46 inference(forward_subsumption_resolution,[status(thm)],[f1496,f18])).
% 8.44/1.46 fof(f4646,plain,(
% 8.44/1.46 spl0_13),
% 8.44/1.46 inference(contradiction_clause,[status(thm)],[f4645])).
% 8.44/1.46 fof(f4649,plain,(
% 8.44/1.46 ![X0,X1]: (~sorti1(X0)|~sorti1(X1)|~op1(X0,X1)=unit1|~spl0_64|~spl0_0)),
% 8.44/1.46 inference(forward_demodulation,[status(thm)],[f3658,f48])).
% 8.44/1.46 fof(f5704,plain,(
% 8.44/1.46 ~sorti1(unit1)|~sorti1(unit1)|~spl0_64|~spl0_0),
% 8.44/1.46 inference(resolution,[status(thm)],[f4649,f185])).
% 8.44/1.46 fof(f5705,plain,(
% 8.44/1.46 ~spl0_3|~spl0_64|~spl0_0),
% 8.44/1.46 inference(split_clause,[status(thm)],[f5704,f1056,f3541,f47])).
% 8.44/1.46 fof(f5748,plain,(
% 8.44/1.46 $false),
% 8.44/1.46 inference(sat_refutation,[status(thm)],[f53,f1105,f1734,f1773,f2931,f3545,f3552,f3584,f4646,f5705])).
% 8.44/1.46 % SZS output end CNFRefutation for theBenchmark.p
% 8.76/1.49 % Elapsed time: 1.132924 seconds
% 8.76/1.49 % CPU time: 8.752150 seconds
% 8.76/1.49 % Total memory used: 185.659 MB
% 8.76/1.49 % Net memory used: 173.735 MB
%------------------------------------------------------------------------------