%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN350+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:19:27 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 : SYN350+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n019.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:51:05 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % 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(f1,conjecture,(
% 0.13/0.39 (! [X] :(? [Y1,Y2] :(! [Z] :( ( big_f(X,Z)<=> big_f(Z,X) )=> ( big_f(X,Z)<=> ( big_f(Y2,Z)& ( big_f(Y1,Z)=> big_f(Y1,Y2) ) ) ) ) )))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,negated_conjecture,(
% 0.13/0.39 ~((! [X] :(? [Y1,Y2] :(! [Z] :( ( big_f(X,Z)<=> big_f(Z,X) )=> ( big_f(X,Z)<=> ( big_f(Y2,Z)& ( big_f(Y1,Z)=> big_f(Y1,Y2) ) ) ) ) ))))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.39 fof(f3,plain,(
% 0.13/0.39 (?[X]: ![Y1,Y2]: ?[Z]: ((big_f(X,Z)<=>big_f(Z,X))&(big_f(X,Z)<~>(big_f(Y2,Z)&(~big_f(Y1,Z)|big_f(Y1,Y2))))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f4,plain,(
% 0.13/0.39 ?[X]: ![Y1,Y2]: ?[Z]: (((~big_f(X,Z)|big_f(Z,X))&(big_f(X,Z)|~big_f(Z,X)))&((big_f(X,Z)|(big_f(Y2,Z)&(~big_f(Y1,Z)|big_f(Y1,Y2))))&(~big_f(X,Z)|(~big_f(Y2,Z)|(big_f(Y1,Z)&~big_f(Y1,Y2))))))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f5,plain,(
% 0.13/0.39 ![Y1,Y2]: (((~big_f(sK0_skl,sK1_skl(Y2,Y1))|big_f(sK1_skl(Y2,Y1),sK0_skl))&(big_f(sK0_skl,sK1_skl(Y2,Y1))|~big_f(sK1_skl(Y2,Y1),sK0_skl)))&((big_f(sK0_skl,sK1_skl(Y2,Y1))|(big_f(Y2,sK1_skl(Y2,Y1))&(~big_f(Y1,sK1_skl(Y2,Y1))|big_f(Y1,Y2))))&(~big_f(sK0_skl,sK1_skl(Y2,Y1))|(~big_f(Y2,sK1_skl(Y2,Y1))|(big_f(Y1,sK1_skl(Y2,Y1))&~big_f(Y1,Y2))))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Z,sK1_skl(Y2,Y1))],[f4])).
% 0.13/0.39 fof(f6,plain,(
% 0.13/0.39 ![X0,X1]: (~big_f(sK0_skl,sK1_skl(X0,X1))|big_f(sK1_skl(X0,X1),sK0_skl))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f8,plain,(
% 0.13/0.39 ![X0,X1]: (big_f(sK0_skl,sK1_skl(X0,X1))|big_f(X0,sK1_skl(X0,X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 ![X0,X1]: (~big_f(sK0_skl,sK1_skl(X0,X1))|~big_f(X0,sK1_skl(X0,X1))|~big_f(X1,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 ![X0]: (~big_f(sK0_skl,sK1_skl(sK0_skl,X0))|~big_f(X0,sK0_skl))),
% 0.13/0.39 inference(resolution,[status(thm)],[f11,f8])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 ![X0,X1]: (~big_f(sK0_skl,sK1_skl(sK0_skl,sK1_skl(X0,X1)))|~big_f(sK0_skl,sK1_skl(X0,X1)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f14,f6])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ![X0,X1]: (~big_f(sK0_skl,sK1_skl(X0,X1)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f18,f8])).
% 0.13/0.39 fof(f28,plain,(
% 0.13/0.39 ![X0,X1]: (big_f(X0,sK1_skl(X0,X1)))),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f8,f20])).
% 0.13/0.39 fof(f29,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(resolution,[status(thm)],[f28,f20])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.050248 seconds
% 0.13/0.42 % CPU time: 0.111178 seconds
% 0.13/0.42 % Total memory used: 16.618 MB
% 0.13/0.42 % Net memory used: 16.129 MB
%------------------------------------------------------------------------------