%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN726+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 03:20:25 PM UTC 2026
% Result : Theorem 0.10s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN726+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:18:24 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f1,conjecture,(
% 0.10/0.38 ( ( ( (! [X,Y,Z] :( ( p(X,Y)& p(Y,Z) )=> p(X,Z) ))& (! [X,Y,Z] :( ( q(X,Y)& q(Y,Z) )=> q(X,Z) ))& (! [X,Y] :( q(X,Y)=> q(Y,X) ))& (! [X,Y] :( p(X,Y)| q(X,Y) ) ))=> (! [X,Y] : p(X,Y) ))| (! [X,Y] : q(X,Y) )) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f2,negated_conjecture,(
% 0.10/0.38 ~(( ( ( (! [X,Y,Z] :( ( p(X,Y)& p(Y,Z) )=> p(X,Z) ))& (! [X,Y,Z] :( ( q(X,Y)& q(Y,Z) )=> q(X,Z) ))& (! [X,Y] :( q(X,Y)=> q(Y,X) ))& (! [X,Y] :( p(X,Y)| q(X,Y) ) ))=> (! [X,Y] : p(X,Y) ))| (! [X,Y] : q(X,Y) )) )),
% 0.10/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.38 fof(f3,plain,(
% 0.10/0.38 ((((((![X,Y,Z]: ((~p(X,Y)|~p(Y,Z))|p(X,Z)))&(![X,Y,Z]: ((~q(X,Y)|~q(Y,Z))|q(X,Z))))&(![X,Y]: (~q(X,Y)|q(Y,X))))&(![X,Y]: (p(X,Y)|q(X,Y))))&(?[X,Y]: ~p(X,Y)))&(?[X,Y]: ~q(X,Y)))),
% 0.10/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.38 fof(f4,plain,(
% 0.10/0.38 (((((![X,Z]: ((![Y]: (~p(X,Y)|~p(Y,Z)))|p(X,Z)))&(![X,Z]: ((![Y]: (~q(X,Y)|~q(Y,Z)))|q(X,Z))))&(![X,Y]: (~q(X,Y)|q(Y,X))))&(![X,Y]: (p(X,Y)|q(X,Y))))&(?[X,Y]: ~p(X,Y)))&(?[X,Y]: ~q(X,Y))),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.10/0.38 fof(f5,plain,(
% 0.10/0.38 (((((![X,Z]: ((![Y]: (~p(X,Y)|~p(Y,Z)))|p(X,Z)))&(![X,Z]: ((![Y]: (~q(X,Y)|~q(Y,Z)))|q(X,Z))))&(![X,Y]: (~q(X,Y)|q(Y,X))))&(![X,Y]: (p(X,Y)|q(X,Y))))&~p(sK0_skl,sK1_skl))&~q(sK2_skl,sK3_skl)),
% 0.10/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(X,sK2_skl),skolemize(Y,sK3_skl)],[f4])).
% 0.10/0.38 fof(f6,plain,(
% 0.10/0.38 ![X0,X1,X2]: (~p(X0,X1)|~p(X1,X2)|p(X0,X2))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.38 fof(f7,plain,(
% 0.10/0.38 ![X0,X1,X2]: (~q(X0,X1)|~q(X1,X2)|q(X0,X2))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.38 fof(f8,plain,(
% 0.10/0.38 ![X0,X1]: (~q(X0,X1)|q(X1,X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.38 fof(f9,plain,(
% 0.10/0.38 ![X0,X1]: (p(X0,X1)|q(X0,X1))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.38 fof(f10,plain,(
% 0.10/0.38 ~p(sK0_skl,sK1_skl)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.38 fof(f11,plain,(
% 0.10/0.38 ~q(sK2_skl,sK3_skl)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.38 fof(f12,plain,(
% 0.10/0.38 p(sK2_skl,sK3_skl)),
% 0.10/0.38 inference(resolution,[status(thm)],[f9,f11])).
% 0.10/0.38 fof(f13,plain,(
% 0.10/0.38 ![X0,X1]: (p(X0,X1)|q(X1,X0))),
% 0.10/0.38 inference(resolution,[status(thm)],[f9,f8])).
% 0.10/0.38 fof(f14,plain,(
% 0.10/0.38 ![X0]: (~p(X0,sK2_skl)|p(X0,sK3_skl))),
% 0.10/0.38 inference(resolution,[status(thm)],[f12,f6])).
% 0.10/0.38 fof(f15,plain,(
% 0.10/0.38 p(sK3_skl,sK2_skl)),
% 0.10/0.38 inference(resolution,[status(thm)],[f13,f11])).
% 0.10/0.38 fof(f17,plain,(
% 0.10/0.38 ![X0]: (~p(X0,sK3_skl)|p(X0,sK2_skl))),
% 0.10/0.38 inference(resolution,[status(thm)],[f15,f6])).
% 0.10/0.38 fof(f24,plain,(
% 0.10/0.38 ![X0]: (~q(sK2_skl,X0)|~q(X0,sK3_skl))),
% 0.10/0.38 inference(resolution,[status(thm)],[f7,f11])).
% 0.10/0.38 fof(f49,plain,(
% 0.10/0.38 ![X0]: (~q(X0,sK3_skl)|p(X0,sK2_skl))),
% 0.10/0.38 inference(resolution,[status(thm)],[f24,f13])).
% 0.10/0.38 fof(f50,plain,(
% 0.10/0.38 ![X0]: (~q(X0,sK3_skl)|p(sK2_skl,X0))),
% 0.10/0.38 inference(resolution,[status(thm)],[f24,f9])).
% 0.10/0.38 fof(f54,plain,(
% 0.10/0.38 ![X0]: (p(X0,sK2_skl)|p(X0,sK3_skl))),
% 0.10/0.38 inference(resolution,[status(thm)],[f49,f9])).
% 0.10/0.38 fof(f55,plain,(
% 0.10/0.38 ![X0]: (p(X0,sK3_skl))),
% 0.10/0.38 inference(forward_subsumption_resolution,[status(thm)],[f54,f14])).
% 0.10/0.38 fof(f56,plain,(
% 0.10/0.38 ![X0]: (p(X0,sK2_skl))),
% 0.10/0.38 inference(backward_subsumption_resolution,[status(thm)],[f17,f55])).
% 0.10/0.38 fof(f61,plain,(
% 0.10/0.38 ![X0]: (p(sK2_skl,X0)|p(sK3_skl,X0))),
% 0.10/0.38 inference(resolution,[status(thm)],[f50,f13])).
% 0.10/0.38 fof(f63,plain,(
% 0.10/0.38 ![X0,X1]: (p(sK2_skl,X0)|~p(X1,sK3_skl)|p(X1,X0))),
% 0.10/0.38 inference(resolution,[status(thm)],[f61,f6])).
% 0.10/0.38 fof(f64,plain,(
% 0.10/0.38 ![X0,X1]: (p(sK2_skl,X0)|p(X1,X0))),
% 0.10/0.38 inference(forward_subsumption_resolution,[status(thm)],[f63,f55])).
% 0.10/0.38 fof(f65,plain,(
% 0.10/0.38 ![X0,X1]: (~p(X0,sK2_skl)|p(X0,X1))),
% 0.10/0.38 inference(resolution,[status(thm)],[f64,f6])).
% 0.10/0.38 fof(f69,plain,(
% 0.10/0.38 ![X0,X1]: (p(X0,X1))),
% 0.10/0.38 inference(forward_subsumption_resolution,[status(thm)],[f65,f56])).
% 0.10/0.38 fof(f80,plain,(
% 0.10/0.38 $false),
% 0.10/0.38 inference(backward_subsumption_resolution,[status(thm)],[f10,f69])).
% 0.10/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.40 % Elapsed time: 0.035452 seconds
% 0.10/0.40 % CPU time: 0.077674 seconds
% 0.10/0.40 % Total memory used: 4.566 MB
% 0.10/0.40 % Net memory used: 4.455 MB
%------------------------------------------------------------------------------