TSTP Solution File: SYN066+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN066+1 : TPTP v8.1.2. Bugfixed v3.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:51:12 EDT 2024
% Result : Theorem 0.06s 0.26s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SYN066+1 : TPTP v8.1.2. Bugfixed v3.0.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n008.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Apr 29 22:08:27 EDT 2024
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % Drodi V3.6.0
% 0.06/0.26 % Refutation found
% 0.06/0.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.26 % SZS output start CNFRefutation for theBenchmark
% 0.06/0.26 fof(f1,axiom,(
% 0.06/0.26 (! [Z] :(? [W] :(! [X] :(? [Y] :( ( big_p(X,Z)=> big_p(Y,W) )& big_p(Y,Z)& ( big_p(Y,W)=> (? [U] : big_q(U,W) )) ) ))))),
% 0.06/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.26 fof(f2,axiom,(
% 0.06/0.26 (! [X,Z] :( ~ big_p(X,Z)=> (? [Y] : big_q(Y,Z) )) )),
% 0.06/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.26 fof(f3,axiom,(
% 0.06/0.26 ( (? [X,Y] : big_q(X,Y))=> (! [Z] : big_r(Z,Z) )) ),
% 0.06/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.26 fof(f4,conjecture,(
% 0.06/0.26 (! [X] :(? [Y] : big_r(X,Y) ))),
% 0.06/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.26 fof(f5,negated_conjecture,(
% 0.06/0.26 ~((! [X] :(? [Y] : big_r(X,Y) )))),
% 0.06/0.26 inference(negated_conjecture,[status(cth)],[f4])).
% 0.06/0.26 fof(f6,plain,(
% 0.06/0.26 ![Z]: (?[W]: ![X]: ?[Y]: (((~big_p(X,Z)|big_p(Y,W))&big_p(Y,Z))&(~big_p(Y,W)|(?[U]: big_q(U,W)))))),
% 0.06/0.26 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.06/0.26 fof(f7,plain,(
% 0.06/0.26 ![Z]: ![X]: (((~big_p(X,Z)|big_p(sk0_1(X,Z),sk0_0(Z)))&big_p(sk0_1(X,Z),Z))&(~big_p(sk0_1(X,Z),sk0_0(Z))|big_q(sk0_2(X,Z),sk0_0(Z))))),
% 0.06/0.26 inference(skolemization,[status(esa)],[f6])).
% 0.06/0.26 fof(f10,plain,(
% 0.06/0.26 ![X0,X1]: (~big_p(sk0_1(X0,X1),sk0_0(X1))|big_q(sk0_2(X0,X1),sk0_0(X1)))),
% 0.06/0.26 inference(cnf_transformation,[status(esa)],[f7])).
% 0.06/0.26 fof(f11,plain,(
% 0.06/0.26 ![X,Z]: (big_p(X,Z)|(?[Y]: big_q(Y,Z)))),
% 0.06/0.26 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.06/0.26 fof(f12,plain,(
% 0.06/0.26 ![Z]: ((![X]: big_p(X,Z))|(?[Y]: big_q(Y,Z)))),
% 0.06/0.26 inference(miniscoping,[status(esa)],[f11])).
% 0.06/0.26 fof(f13,plain,(
% 0.06/0.26 ![Z]: ((![X]: big_p(X,Z))|big_q(sk0_3(Z),Z))),
% 0.06/0.26 inference(skolemization,[status(esa)],[f12])).
% 0.06/0.26 fof(f14,plain,(
% 0.06/0.26 ![X0,X1]: (big_p(X0,X1)|big_q(sk0_3(X1),X1))),
% 0.06/0.26 inference(cnf_transformation,[status(esa)],[f13])).
% 0.06/0.26 fof(f15,plain,(
% 0.06/0.26 (![X,Y]: ~big_q(X,Y))|(![Z]: big_r(Z,Z))),
% 0.06/0.26 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.06/0.26 fof(f16,plain,(
% 0.06/0.26 ![X0,X1,X2]: (~big_q(X0,X1)|big_r(X2,X2))),
% 0.06/0.26 inference(cnf_transformation,[status(esa)],[f15])).
% 0.06/0.26 fof(f17,plain,(
% 0.06/0.26 (?[X]: ![Y]: ~big_r(X,Y))),
% 0.06/0.26 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.06/0.26 fof(f18,plain,(
% 0.06/0.26 ![Y]: ~big_r(sk0_4,Y)),
% 0.06/0.26 inference(skolemization,[status(esa)],[f17])).
% 0.06/0.26 fof(f19,plain,(
% 0.06/0.26 ![X0]: (~big_r(sk0_4,X0))),
% 0.06/0.26 inference(cnf_transformation,[status(esa)],[f18])).
% 0.06/0.26 fof(f20,plain,(
% 0.06/0.26 spl0_0 <=> ~big_q(X0,X1)),
% 0.06/0.26 introduced(split_symbol_definition)).
% 0.06/0.26 fof(f21,plain,(
% 0.06/0.26 ![X0,X1]: (~big_q(X0,X1)|~spl0_0)),
% 0.06/0.26 inference(component_clause,[status(thm)],[f20])).
% 0.06/0.26 fof(f23,plain,(
% 0.06/0.26 spl0_1 <=> big_r(X2,X2)),
% 0.06/0.26 introduced(split_symbol_definition)).
% 0.06/0.26 fof(f24,plain,(
% 0.06/0.26 ![X0]: (big_r(X0,X0)|~spl0_1)),
% 0.06/0.26 inference(component_clause,[status(thm)],[f23])).
% 0.06/0.26 fof(f26,plain,(
% 0.06/0.26 spl0_0|spl0_1),
% 0.06/0.26 inference(split_clause,[status(thm)],[f16,f20,f23])).
% 0.06/0.26 fof(f27,plain,(
% 0.06/0.26 ![X0,X1]: (big_p(X0,X1)|~spl0_0)),
% 0.06/0.26 inference(forward_subsumption_resolution,[status(thm)],[f14,f21])).
% 0.06/0.26 fof(f28,plain,(
% 0.06/0.26 ![X0,X1]: (big_q(sk0_2(X0,X1),sk0_0(X1))|~spl0_0)),
% 0.06/0.26 inference(forward_subsumption_resolution,[status(thm)],[f10,f27])).
% 0.06/0.26 fof(f29,plain,(
% 0.06/0.26 $false|~spl0_0),
% 0.06/0.26 inference(resolution,[status(thm)],[f28,f21])).
% 0.06/0.26 fof(f30,plain,(
% 0.06/0.26 ~spl0_0),
% 0.06/0.26 inference(contradiction_clause,[status(thm)],[f29])).
% 0.06/0.26 fof(f31,plain,(
% 0.06/0.26 $false|~spl0_1),
% 0.06/0.26 inference(resolution,[status(thm)],[f24,f19])).
% 0.06/0.26 fof(f32,plain,(
% 0.06/0.26 ~spl0_1),
% 0.06/0.26 inference(contradiction_clause,[status(thm)],[f31])).
% 0.06/0.26 fof(f33,plain,(
% 0.06/0.26 $false),
% 0.06/0.26 inference(sat_refutation,[status(thm)],[f26,f30,f32])).
% 0.06/0.26 % SZS output end CNFRefutation for theBenchmark.p
% 0.06/0.27 % Elapsed time: 0.011294 seconds
% 0.06/0.27 % CPU time: 0.020237 seconds
% 0.06/0.27 % Total memory used: 1.920 MB
% 0.06/0.27 % Net memory used: 1.765 MB
%------------------------------------------------------------------------------