%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN732+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 03:20:26 PM UTC 2026
% Result : Theorem 0.14s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN732+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.53 % Computer : n008.cluster.edu
% 0.11/0.53 % Model : x86_64 x86_64
% 0.11/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.53 % Memory : 8046.5625MB
% 0.11/0.53 % OS : Linux 6.8.0-71-generic
% 0.11/0.53 % CPULimit : 300
% 0.11/0.53 % WCLimit : 300
% 0.11/0.53 % DateTime : Mon Sep 21 11:14:54 UTC 2026
% 0.11/0.53 % CPUTime :
% 0.11/0.54 % Drodi V4.1.1
% 0.14/0.56 % Refutation found
% 0.14/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.56 fof(f1,conjecture,(
% 0.14/0.56 ( (! [Y] :( (! [X] : p(X,Y))=> (! [U] : q(U,Y) )))=> (? [Z] :( (? [V] : p(V,Z))=> (? [W] :( p(Z,W)| q(W,Z) ) )) )) ),
% 0.14/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f2,negated_conjecture,(
% 0.14/0.56 ~(( (! [Y] :( (! [X] : p(X,Y))=> (! [U] : q(U,Y) )))=> (? [Z] :( (? [V] : p(V,Z))=> (? [W] :( p(Z,W)| q(W,Z) ) )) )) )),
% 0.14/0.56 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.56 fof(f3,plain,(
% 0.14/0.56 ((![Y]: ((?[X]: ~p(X,Y))|(![U]: q(U,Y))))&(![Z]: ((?[V]: p(V,Z))&(![W]: (~p(Z,W)&~q(W,Z))))))),
% 0.14/0.56 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.56 fof(f4,plain,(
% 0.14/0.56 (![Y]: ((?[X]: ~p(X,Y))|(![U]: q(U,Y))))&((![Z]: ?[V]: p(V,Z))&((![Z,W]: ~p(Z,W))&(![Z,W]: ~q(W,Z))))),
% 0.14/0.56 inference(miniscoping,[status(thm)],[f3])).
% 0.14/0.56 fof(f5,plain,(
% 0.14/0.56 (![Y]: (~p(sK0_skl(Y),Y)|(![U]: q(U,Y))))&((![Z]: p(sK1_skl(Z),Z))&((![Z,W]: ~p(Z,W))&(![Z,W]: ~q(W,Z))))),
% 0.14/0.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl(Y)),skolemize(V,sK1_skl(Z))],[f4])).
% 0.14/0.56 fof(f7,plain,(
% 0.14/0.56 ![X0]: (p(sK1_skl(X0),X0))),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.56 fof(f8,plain,(
% 0.14/0.56 ![X0,X1]: (~p(X0,X1))),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.56 fof(f11,plain,(
% 0.14/0.56 $false),
% 0.14/0.56 inference(backward_subsumption_resolution,[status(thm)],[f7,f8])).
% 0.14/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.58 % Elapsed time: 0.045860 seconds
% 0.14/0.58 % CPU time: 0.131685 seconds
% 0.14/0.58 % Total memory used: 50.095 MB
% 0.14/0.58 % Net memory used: 49.489 MB
%------------------------------------------------------------------------------