%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN352+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 : n015.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 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN352+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
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:54:23 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f1,conjecture,(
% 0.08/0.38 (! [X1,X2] :(? [Y1,Y2] :(! [Z] :( big_f(X1,X2)=> ( ( big_f(Y1,Y2)=> ( big_f(X2,Z)| big_f(Y2,Z) ) )=> ( ( ( big_f(Y1,Y2)=> ( big_f(X2,Z)<=> big_f(Y1,Z) ) )=> big_f(Z,Z) )=> ( big_f(Y1,Y2)& ( big_f(Y1,Z)<=> big_f(Y2,Z) ) ) ) ) ) )))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f2,negated_conjecture,(
% 0.08/0.38 ~((! [X1,X2] :(? [Y1,Y2] :(! [Z] :( big_f(X1,X2)=> ( ( big_f(Y1,Y2)=> ( big_f(X2,Z)| big_f(Y2,Z) ) )=> ( ( ( big_f(Y1,Y2)=> ( big_f(X2,Z)<=> big_f(Y1,Z) ) )=> big_f(Z,Z) )=> ( big_f(Y1,Y2)& ( big_f(Y1,Z)<=> big_f(Y2,Z) ) ) ) ) ) ))))),
% 0.08/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.38 fof(f3,plain,(
% 0.08/0.38 (?[X1,X2]: ![Y1,Y2]: ?[Z]: (big_f(X1,X2)&((~big_f(Y1,Y2)|(big_f(X2,Z)|big_f(Y2,Z)))&(((big_f(Y1,Y2)&(big_f(X2,Z)<~>big_f(Y1,Z)))|big_f(Z,Z))&(~big_f(Y1,Y2)|(big_f(Y1,Z)<~>big_f(Y2,Z)))))))),
% 0.08/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.38 fof(f4,plain,(
% 0.08/0.38 ?[X1,X2]: ![Y1,Y2]: ?[Z]: (big_f(X1,X2)&((~big_f(Y1,Y2)|(big_f(X2,Z)|big_f(Y2,Z)))&(((big_f(Y1,Y2)&((big_f(X2,Z)|big_f(Y1,Z))&(~big_f(X2,Z)|~big_f(Y1,Z))))|big_f(Z,Z))&(~big_f(Y1,Y2)|((big_f(Y1,Z)|big_f(Y2,Z))&(~big_f(Y1,Z)|~big_f(Y2,Z)))))))),
% 0.08/0.38 inference(NNF_transformation,[status(thm)],[f3])).
% 0.08/0.38 fof(f5,plain,(
% 0.08/0.38 ?[X2]: ((?[X1]: big_f(X1,X2))&(![Y1,Y2]: ?[Z]: ((~big_f(Y1,Y2)|(big_f(X2,Z)|big_f(Y2,Z)))&(((big_f(Y1,Y2)&((big_f(X2,Z)|big_f(Y1,Z))&(~big_f(X2,Z)|~big_f(Y1,Z))))|big_f(Z,Z))&(~big_f(Y1,Y2)|((big_f(Y1,Z)|big_f(Y2,Z))&(~big_f(Y1,Z)|~big_f(Y2,Z))))))))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f4])).
% 0.08/0.38 fof(f6,plain,(
% 0.08/0.38 (big_f(sK1_skl,sK0_skl)&(![Y1,Y2]: ((~big_f(Y1,Y2)|(big_f(sK0_skl,sK2_skl(Y2,Y1))|big_f(Y2,sK2_skl(Y2,Y1))))&(((big_f(Y1,Y2)&((big_f(sK0_skl,sK2_skl(Y2,Y1))|big_f(Y1,sK2_skl(Y2,Y1)))&(~big_f(sK0_skl,sK2_skl(Y2,Y1))|~big_f(Y1,sK2_skl(Y2,Y1)))))|big_f(sK2_skl(Y2,Y1),sK2_skl(Y2,Y1)))&(~big_f(Y1,Y2)|((big_f(Y1,sK2_skl(Y2,Y1))|big_f(Y2,sK2_skl(Y2,Y1)))&(~big_f(Y1,sK2_skl(Y2,Y1))|~big_f(Y2,sK2_skl(Y2,Y1)))))))))),
% 0.08/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X2,sK0_skl),skolemize(X1,sK1_skl),skolemize(Z,sK2_skl(Y2,Y1))],[f5])).
% 0.08/0.38 fof(f9,plain,(
% 0.08/0.38 ![X0,X1]: (big_f(X0,X1)|big_f(sK2_skl(X1,X0),sK2_skl(X1,X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.38 fof(f12,plain,(
% 0.08/0.38 ![X0,X1]: (~big_f(X0,X1)|big_f(X0,sK2_skl(X1,X0))|big_f(X1,sK2_skl(X1,X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.38 fof(f13,plain,(
% 0.08/0.38 ![X0,X1]: (~big_f(X0,X1)|~big_f(X0,sK2_skl(X1,X0))|~big_f(X1,sK2_skl(X1,X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.38 fof(f14,plain,(
% 0.08/0.38 ![X0,X1]: (big_f(sK2_skl(X0,X1),sK2_skl(sK2_skl(X0,X1),sK2_skl(X0,X1)))|big_f(sK2_skl(X0,X1),sK2_skl(sK2_skl(X0,X1),sK2_skl(X0,X1)))|big_f(X1,X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f12,f9])).
% 0.08/0.38 fof(f16,plain,(
% 0.08/0.38 ![X0,X1]: (big_f(sK2_skl(X0,X1),sK2_skl(sK2_skl(X0,X1),sK2_skl(X0,X1)))|big_f(X1,X0))),
% 0.08/0.38 inference(duplicate_literals_removal,[status(thm)],[f14])).
% 0.08/0.38 fof(f60,plain,(
% 0.08/0.38 ![X0,X1]: (big_f(X0,X1)|~big_f(sK2_skl(X1,X0),sK2_skl(X1,X0))|~big_f(sK2_skl(X1,X0),sK2_skl(sK2_skl(X1,X0),sK2_skl(X1,X0))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f16,f13])).
% 0.08/0.38 fof(f63,plain,(
% 0.08/0.38 ![X0,X1]: (big_f(X0,X1)|~big_f(sK2_skl(X1,X0),sK2_skl(sK2_skl(X1,X0),sK2_skl(X1,X0))))),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f60,f9])).
% 0.08/0.38 fof(f64,plain,(
% 0.08/0.38 ![X0,X1]: (~big_f(X0,X1)|~big_f(X0,sK2_skl(X1,X0)))),
% 0.08/0.38 inference(backward_subsumption_resolution,[status(thm)],[f13,f65])).
% 0.08/0.38 fof(f65,plain,(
% 0.08/0.38 ![X0,X1]: (big_f(X0,X1))),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f63,f16])).
% 0.08/0.38 fof(f66,plain,(
% 0.08/0.38 ![X0,X1]: (~big_f(X0,sK2_skl(X1,X0)))),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f64,f65])).
% 0.08/0.38 fof(f67,plain,(
% 0.08/0.38 $false),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f66,f65])).
% 0.08/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.40 % Elapsed time: 0.035056 seconds
% 0.08/0.40 % CPU time: 0.096454 seconds
% 0.08/0.40 % Total memory used: 13.269 MB
% 0.08/0.40 % Net memory used: 12.867 MB
%------------------------------------------------------------------------------