%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV411+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 02:50:44 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV411+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:45:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f9,axiom,(
% 0.13/0.39 (! [U,V,W,X] :( contains_slb(insert_slb(U,pair(V,X)),W)<=> ( contains_slb(U,W)| V = W ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,axiom,(
% 0.13/0.39 (! [U,V,W,X,Y] :( pair_in_list(insert_slb(U,pair(V,X)),W,Y)<=> ( pair_in_list(U,W,Y)| ( V = W& X = Y ) ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f19,conjecture,(
% 0.13/0.39 (! [U] :( (! [V] :( contains_slb(U,V)=> (? [W] : pair_in_list(U,V,W) )))=> (! [X,Y,Z] :( contains_slb(insert_slb(U,pair(Y,Z)),X)=> (? [X1] : pair_in_list(insert_slb(U,pair(Y,Z)),X,X1) )) )) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f20,negated_conjecture,(
% 0.13/0.39 ~((! [U] :( (! [V] :( contains_slb(U,V)=> (? [W] : pair_in_list(U,V,W) )))=> (! [X,Y,Z] :( contains_slb(insert_slb(U,pair(Y,Z)),X)=> (? [X1] : pair_in_list(insert_slb(U,pair(Y,Z)),X,X1) )) )) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f19])).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 ![U,V,W,X]: ((~contains_slb(insert_slb(U,pair(V,X)),W)|(contains_slb(U,W)|V=W))&(contains_slb(insert_slb(U,pair(V,X)),W)|(~contains_slb(U,W)&~V=W)))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 (![U,V,W]: ((![X]: ~contains_slb(insert_slb(U,pair(V,X)),W))|(contains_slb(U,W)|V=W)))&(![U,V,W]: ((![X]: contains_slb(insert_slb(U,pair(V,X)),W))|(~contains_slb(U,W)&~V=W)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f35])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~contains_slb(insert_slb(X0,pair(X1,X2)),X3)|contains_slb(X0,X3)|X1=X3)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 ![U,V,W,X,Y]: ((~pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(pair_in_list(U,W,Y)|(V=W&X=Y)))&(pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(~pair_in_list(U,W,Y)&(~V=W|~X=Y))))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f11])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 (![U,V,W,X,Y]: (~pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(pair_in_list(U,W,Y)|(V=W&X=Y))))&(![U,V,W,X,Y]: (pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(~pair_in_list(U,W,Y)&(~V=W|~X=Y))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f41])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|~pair_in_list(X0,X3,X4))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f42])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|~X1=X3|~X2=X4)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f42])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 (?[U]: ((![V]: (~contains_slb(U,V)|(?[W]: pair_in_list(U,V,W))))&(?[X,Y,Z]: (contains_slb(insert_slb(U,pair(Y,Z)),X)&(![X1]: ~pair_in_list(insert_slb(U,pair(Y,Z)),X,X1))))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.13/0.39 fof(f63,plain,(
% 0.13/0.39 ((![V]: (~contains_slb(sK0_skl,V)|pair_in_list(sK0_skl,V,sK1_skl(V))))&(contains_slb(insert_slb(sK0_skl,pair(sK3_skl,sK4_skl)),sK2_skl)&(![X1]: ~pair_in_list(insert_slb(sK0_skl,pair(sK3_skl,sK4_skl)),sK2_skl,X1))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(U,sK0_skl),skolemize(W,sK1_skl(V)),skolemize(X,sK2_skl),skolemize(Y,sK3_skl),skolemize(Z,sK4_skl)],[f62])).
% 0.13/0.39 fof(f64,plain,(
% 0.13/0.39 ![X0]: (~contains_slb(sK0_skl,X0)|pair_in_list(sK0_skl,X0,sK1_skl(X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f63])).
% 0.13/0.39 fof(f65,plain,(
% 0.13/0.39 contains_slb(insert_slb(sK0_skl,pair(sK3_skl,sK4_skl)),sK2_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f63])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 ![X0]: (~pair_in_list(insert_slb(sK0_skl,pair(sK3_skl,sK4_skl)),sK2_skl,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f63])).
% 0.13/0.39 fof(f69,plain,(
% 0.13/0.39 ![X0,X1,X2]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X1,X2))),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f46])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 contains_slb(sK0_skl,sK2_skl)|sK3_skl=sK2_skl),
% 0.13/0.39 inference(resolution,[status(thm)],[f37,f65])).
% 0.13/0.39 fof(f77,plain,(
% 0.13/0.39 ![X0,X1,X2]: (pair_in_list(insert_slb(sK0_skl,pair(X0,X1)),X2,sK1_skl(X2))|~contains_slb(sK0_skl,X2))),
% 0.13/0.39 inference(resolution,[status(thm)],[f45,f64])).
% 0.13/0.39 fof(f78,plain,(
% 0.13/0.39 ![X0,X1]: (pair_in_list(insert_slb(sK0_skl,pair(X0,X1)),sK2_skl,sK1_skl(sK2_skl))|sK3_skl=sK2_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f77,f70])).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 sK3_skl=sK2_skl),
% 0.13/0.39 inference(resolution,[status(thm)],[f78,f66])).
% 0.13/0.39 fof(f88,plain,(
% 0.13/0.39 ![X0]: (~pair_in_list(insert_slb(sK0_skl,pair(sK2_skl,sK4_skl)),sK2_skl,X0))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f82,f66])).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(resolution,[status(thm)],[f88,f69])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.043590 seconds
% 0.13/0.41 % CPU time: 0.129516 seconds
% 0.13/0.41 % Total memory used: 79.795 MB
% 0.13/0.41 % Net memory used: 79.594 MB
%------------------------------------------------------------------------------