%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV370+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 : n001.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 02:50:40 PM UTC 2026
% Result : Theorem 0.10s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV370+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.52 % Computer : n001.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Mon Sep 21 08:49:29 UTC 2026
% 0.10/0.53 % CPUTime :
% 0.10/0.54 % Drodi V4.1.1
% 0.10/0.58 % Refutation found
% 0.10/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.58 fof(f9,axiom,(
% 0.10/0.58 (! [U,V,W] :( contains_pq(insert_pq(U,V),W)<=> ( contains_pq(U,W)| V = W ) ) )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f21,axiom,(
% 0.10/0.58 (! [U,V,W,X] :( contains_slb(insert_slb(U,pair(V,X)),W)<=> ( contains_slb(U,W)| V = W ) ) )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f39,axiom,(
% 0.10/0.58 (! [U,V,W,X] :( contains_cpq(triple(U,V,W),X)<=> contains_slb(V,X) ) )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f55,axiom,(
% 0.10/0.58 (! [U,V,W,X,Y] : i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X) )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f63,conjecture,(
% 0.10/0.58 (! [U] :( (! [V,W,X] :( contains_cpq(triple(V,U,W),X)<=> contains_pq(i(triple(V,U,W)),X) ))=> (! [Y,Z,X1,X2,X3] :( contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3)<=> contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3) ) )) )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f64,negated_conjecture,(
% 0.10/0.58 ~((! [U] :( (! [V,W,X] :( contains_cpq(triple(V,U,W),X)<=> contains_pq(i(triple(V,U,W)),X) ))=> (! [Y,Z,X1,X2,X3] :( contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3)<=> contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3) ) )) ))),
% 0.10/0.58 inference(negated_conjecture,[status(cth)],[f63])).
% 0.10/0.58 fof(f79,plain,(
% 0.10/0.58 ![U,V,W]: ((~contains_pq(insert_pq(U,V),W)|(contains_pq(U,W)|V=W))&(contains_pq(insert_pq(U,V),W)|(~contains_pq(U,W)&~V=W)))),
% 0.10/0.58 inference(NNF_transformation,[status(thm)],[f9])).
% 0.10/0.58 fof(f80,plain,(
% 0.10/0.58 (![U,V,W]: (~contains_pq(insert_pq(U,V),W)|(contains_pq(U,W)|V=W)))&(![U,V,W]: (contains_pq(insert_pq(U,V),W)|(~contains_pq(U,W)&~V=W)))),
% 0.10/0.58 inference(miniscoping,[status(thm)],[f79])).
% 0.10/0.58 fof(f81,plain,(
% 0.10/0.58 ![X0,X1,X2]: (~contains_pq(insert_pq(X0,X1),X2)|contains_pq(X0,X2)|X1=X2)),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f80])).
% 0.10/0.58 fof(f82,plain,(
% 0.10/0.58 ![X0,X1,X2]: (contains_pq(insert_pq(X0,X1),X2)|~contains_pq(X0,X2))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f80])).
% 0.10/0.58 fof(f83,plain,(
% 0.10/0.58 ![X0,X1,X2]: (contains_pq(insert_pq(X0,X1),X2)|~X1=X2)),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f80])).
% 0.10/0.58 fof(f106,plain,(
% 0.10/0.58 ![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)))),
% 0.10/0.58 inference(NNF_transformation,[status(thm)],[f21])).
% 0.10/0.58 fof(f107,plain,(
% 0.10/0.58 (![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)))),
% 0.10/0.58 inference(miniscoping,[status(thm)],[f106])).
% 0.10/0.58 fof(f108,plain,(
% 0.10/0.58 ![X0,X1,X2,X3]: (~contains_slb(insert_slb(X0,pair(X1,X2)),X3)|contains_slb(X0,X3)|X1=X3)),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f107])).
% 0.10/0.58 fof(f109,plain,(
% 0.10/0.58 ![X0,X1,X2,X3]: (contains_slb(insert_slb(X0,pair(X1,X2)),X3)|~contains_slb(X0,X3))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f107])).
% 0.10/0.58 fof(f110,plain,(
% 0.10/0.58 ![X0,X1,X2,X3]: (contains_slb(insert_slb(X0,pair(X1,X2)),X3)|~X1=X3)),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f107])).
% 0.10/0.58 fof(f155,plain,(
% 0.10/0.58 ![U,V,W,X]: ((~contains_cpq(triple(U,V,W),X)|contains_slb(V,X))&(contains_cpq(triple(U,V,W),X)|~contains_slb(V,X)))),
% 0.10/0.58 inference(NNF_transformation,[status(thm)],[f39])).
% 0.10/0.58 fof(f156,plain,(
% 0.10/0.58 (![V,X]: ((![U,W]: ~contains_cpq(triple(U,V,W),X))|contains_slb(V,X)))&(![V,X]: ((![U,W]: contains_cpq(triple(U,V,W),X))|~contains_slb(V,X)))),
% 0.10/0.58 inference(miniscoping,[status(thm)],[f155])).
% 0.10/0.58 fof(f157,plain,(
% 0.10/0.58 ![X0,X1,X2,X3]: (~contains_cpq(triple(X0,X1,X2),X3)|contains_slb(X1,X3))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f156])).
% 0.10/0.58 fof(f158,plain,(
% 0.10/0.58 ![X0,X1,X2,X3]: (contains_cpq(triple(X0,X1,X2),X3)|~contains_slb(X1,X3))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f156])).
% 0.10/0.58 fof(f193,plain,(
% 0.10/0.58 ![X0,X1,X2,X3,X4]: (i(triple(X0,insert_slb(X1,pair(X2,X3)),X4))=insert_pq(i(triple(X0,X1,X4)),X2))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f55])).
% 0.10/0.58 fof(f229,plain,(
% 0.10/0.58 (?[U]: ((![V,W,X]: (contains_cpq(triple(V,U,W),X)<=>contains_pq(i(triple(V,U,W)),X)))&(?[Y,Z,X1,X2,X3]: (contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3)<~>contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3)))))),
% 0.10/0.58 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 0.10/0.58 fof(f230,plain,(
% 0.10/0.58 ?[U]: ((![V,W,X]: ((~contains_cpq(triple(V,U,W),X)|contains_pq(i(triple(V,U,W)),X))&(contains_cpq(triple(V,U,W),X)|~contains_pq(i(triple(V,U,W)),X))))&(?[Y,Z,X1,X2,X3]: ((contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3)|contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3))&(~contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3)|~contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3)))))),
% 0.10/0.58 inference(NNF_transformation,[status(thm)],[f229])).
% 0.10/0.58 fof(f231,plain,(
% 0.10/0.58 ?[U]: (((![V,W,X]: (~contains_cpq(triple(V,U,W),X)|contains_pq(i(triple(V,U,W)),X)))&(![V,W,X]: (contains_cpq(triple(V,U,W),X)|~contains_pq(i(triple(V,U,W)),X))))&(?[Y,Z,X1,X2,X3]: ((contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3)|contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3))&(~contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3)|~contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3)))))),
% 0.10/0.58 inference(miniscoping,[status(thm)],[f230])).
% 0.10/0.58 fof(f232,plain,(
% 0.10/0.58 (((![V,W,X]: (~contains_cpq(triple(V,sK4_skl,W),X)|contains_pq(i(triple(V,sK4_skl,W)),X)))&(![V,W,X]: (contains_cpq(triple(V,sK4_skl,W),X)|~contains_pq(i(triple(V,sK4_skl,W)),X))))&((contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK9_skl)|contains_pq(i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl)),sK9_skl))&(~contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK9_skl)|~contains_pq(i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl)),sK9_skl))))),
% 0.10/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl]),skolemize(U,sK4_skl),skolemize(Y,sK5_skl),skolemize(Z,sK6_skl),skolemize(X1,sK7_skl),skolemize(X2,sK8_skl),skolemize(X3,sK9_skl)],[f231])).
% 0.10/0.58 fof(f233,plain,(
% 0.10/0.58 ![X0,X1,X2]: (~contains_cpq(triple(X0,sK4_skl,X1),X2)|contains_pq(i(triple(X0,sK4_skl,X1)),X2))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f232])).
% 0.10/0.58 fof(f234,plain,(
% 0.10/0.58 ![X0,X1,X2]: (contains_cpq(triple(X0,sK4_skl,X1),X2)|~contains_pq(i(triple(X0,sK4_skl,X1)),X2))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f232])).
% 0.10/0.58 fof(f235,plain,(
% 0.10/0.58 contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK9_skl)|contains_pq(i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl)),sK9_skl)),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f232])).
% 0.10/0.58 fof(f236,plain,(
% 0.10/0.58 ~contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK9_skl)|~contains_pq(i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl)),sK9_skl)),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f232])).
% 0.10/0.58 fof(f238,plain,(
% 0.10/0.58 ![X0,X1]: (contains_pq(insert_pq(X0,X1),X1))),
% 0.10/0.58 inference(destructive_equality_resolution,[status(thm)],[f83])).
% 0.10/0.58 fof(f239,plain,(
% 0.10/0.58 ![X0,X1,X2]: (contains_slb(insert_slb(X0,pair(X1,X2)),X1))),
% 0.10/0.58 inference(destructive_equality_resolution,[status(thm)],[f110])).
% 0.10/0.58 fof(f242,plain,(
% 0.10/0.58 contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK9_skl)|contains_pq(insert_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK7_skl),sK9_skl)),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f193,f235])).
% 0.10/0.58 fof(f243,plain,(
% 0.10/0.58 ~contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK9_skl)|~contains_pq(insert_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK7_skl),sK9_skl)),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f193,f236])).
% 0.10/0.58 fof(f244,plain,(
% 0.10/0.58 contains_slb(insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK9_skl)|contains_pq(insert_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK7_skl),sK9_skl)),
% 0.10/0.58 inference(resolution,[status(thm)],[f157,f242])).
% 0.10/0.58 fof(f256,plain,(
% 0.10/0.58 contains_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK9_skl)|sK7_skl=sK9_skl|contains_slb(insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK9_skl)),
% 0.10/0.58 inference(resolution,[status(thm)],[f81,f244])).
% 0.10/0.58 fof(f324,plain,(
% 0.10/0.58 ![X0,X1,X2,X3,X4]: (contains_cpq(triple(X0,insert_slb(X1,pair(X2,X3)),X4),X2))),
% 0.10/0.58 inference(resolution,[status(thm)],[f239,f158])).
% 0.10/0.58 fof(f350,plain,(
% 0.10/0.58 contains_slb(sK4_skl,sK9_skl)|sK7_skl=sK9_skl|contains_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK9_skl)|sK7_skl=sK9_skl),
% 0.10/0.58 inference(resolution,[status(thm)],[f108,f256])).
% 0.10/0.58 fof(f352,plain,(
% 0.10/0.58 contains_slb(sK4_skl,sK9_skl)|sK7_skl=sK9_skl|contains_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK9_skl)),
% 0.10/0.58 inference(duplicate_literals_removal,[status(thm)],[f350])).
% 0.10/0.58 fof(f353,plain,(
% 0.10/0.58 contains_slb(sK4_skl,sK9_skl)|sK7_skl=sK9_skl|contains_cpq(triple(sK5_skl,sK4_skl,sK6_skl),sK9_skl)),
% 0.10/0.58 inference(resolution,[status(thm)],[f352,f234])).
% 0.10/0.58 fof(f356,plain,(
% 0.10/0.58 sK7_skl=sK9_skl|contains_cpq(triple(sK5_skl,sK4_skl,sK6_skl),sK9_skl)),
% 0.10/0.58 inference(forward_subsumption_resolution,[status(thm)],[f353,f158])).
% 0.10/0.58 fof(f358,plain,(
% 0.10/0.58 sK7_skl=sK9_skl|contains_slb(sK4_skl,sK9_skl)),
% 0.10/0.58 inference(resolution,[status(thm)],[f356,f157])).
% 0.10/0.58 fof(f360,plain,(
% 0.10/0.58 ![X0,X1]: (sK7_skl=sK9_skl|contains_cpq(triple(X0,sK4_skl,X1),sK9_skl))),
% 0.10/0.58 inference(resolution,[status(thm)],[f358,f158])).
% 0.10/0.58 fof(f362,plain,(
% 0.10/0.58 ![X0,X1]: (sK7_skl=sK9_skl|contains_pq(i(triple(X0,sK4_skl,X1)),sK9_skl))),
% 0.10/0.58 inference(resolution,[status(thm)],[f360,f233])).
% 0.10/0.58 fof(f375,plain,(
% 0.10/0.58 ![X0,X1,X2,X3,X4,X5]: (~contains_slb(X0,X1)|contains_cpq(triple(X2,insert_slb(X0,pair(X3,X4)),X5),X1))),
% 0.10/0.58 inference(resolution,[status(thm)],[f109,f158])).
% 0.10/0.58 fof(f388,plain,(
% 0.10/0.58 ~contains_slb(sK4_skl,sK9_skl)|~contains_pq(insert_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK7_skl),sK9_skl)),
% 0.10/0.58 inference(resolution,[status(thm)],[f375,f243])).
% 0.10/0.58 fof(f390,plain,(
% 0.10/0.58 ~contains_pq(insert_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK7_skl),sK9_skl)|sK7_skl=sK9_skl),
% 0.10/0.58 inference(resolution,[status(thm)],[f388,f358])).
% 0.10/0.58 fof(f392,plain,(
% 0.10/0.58 sK7_skl=sK9_skl|~contains_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK9_skl)),
% 0.10/0.58 inference(resolution,[status(thm)],[f390,f82])).
% 0.10/0.58 fof(f405,plain,(
% 0.10/0.58 ~contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK9_skl)|~contains_pq(insert_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK7_skl),sK7_skl)),
% 0.10/0.58 inference(backward_demodulation,[status(thm)],[f415,f243])).
% 0.10/0.58 fof(f415,plain,(
% 0.10/0.58 sK7_skl=sK9_skl),
% 0.10/0.58 inference(forward_subsumption_resolution,[status(thm)],[f392,f362])).
% 0.10/0.58 fof(f435,plain,(
% 0.10/0.58 ~contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK7_skl)|~contains_pq(insert_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK7_skl),sK7_skl)),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f415,f405])).
% 0.10/0.58 fof(f436,plain,(
% 0.10/0.58 ~contains_pq(insert_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK7_skl),sK7_skl)),
% 0.10/0.58 inference(forward_subsumption_resolution,[status(thm)],[f435,f324])).
% 0.10/0.58 fof(f442,plain,(
% 0.10/0.58 $false),
% 0.10/0.58 inference(resolution,[status(thm)],[f436,f238])).
% 0.10/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.62 % Elapsed time: 0.074105 seconds
% 0.16/0.62 % CPU time: 0.257676 seconds
% 0.16/0.62 % Total memory used: 108.220 MB
% 0.16/0.62 % Net memory used: 107.935 MB
%------------------------------------------------------------------------------