%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN351+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 : n017.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 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN351+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.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
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 10:45:57 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,conjecture,(
% 0.10/0.39 (! [X1,X2] :(? [Y1,Y2] :(! [Z] :( big_f(X1,Y2,X1,Z)=> ( ( big_f(X1,Y1,X1,Y2)<=> big_f(Y1,X2,Y1,Y2) )=> ( big_f(X1,Y1,X1,Y2)=> ( ( big_f(X1,Y2,Y1,Y2)=> big_f(X1,Z,Y1,Z) )& ( big_f(X1,Z,Y1,Z)=> ( big_f(X1,Y1,X1,Y2)<=> big_f(X1,Y2,Y1,Y2) ) ) ) ) ) ) )))),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,negated_conjecture,(
% 0.10/0.39 ~((! [X1,X2] :(? [Y1,Y2] :(! [Z] :( big_f(X1,Y2,X1,Z)=> ( ( big_f(X1,Y1,X1,Y2)<=> big_f(Y1,X2,Y1,Y2) )=> ( big_f(X1,Y1,X1,Y2)=> ( ( big_f(X1,Y2,Y1,Y2)=> big_f(X1,Z,Y1,Z) )& ( big_f(X1,Z,Y1,Z)=> ( big_f(X1,Y1,X1,Y2)<=> big_f(X1,Y2,Y1,Y2) ) ) ) ) ) ) ))))),
% 0.10/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.39 fof(f3,plain,(
% 0.10/0.39 (?[X1,X2]: ![Y1,Y2]: ?[Z]: (big_f(X1,Y2,X1,Z)&((big_f(X1,Y1,X1,Y2)<=>big_f(Y1,X2,Y1,Y2))&(big_f(X1,Y1,X1,Y2)&((big_f(X1,Y2,Y1,Y2)&~big_f(X1,Z,Y1,Z))|(big_f(X1,Z,Y1,Z)&(big_f(X1,Y1,X1,Y2)<~>big_f(X1,Y2,Y1,Y2))))))))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.39 fof(f4,definition,(
% 0.10/0.39 ![X1,Y1,Y2,Z]: (sP0_prd(Z,Y2,Y1,X1)<=>(big_f(X1,Y2,Y1,Y2)&~big_f(X1,Z,Y1,Z)))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.10/0.39 fof(f5,plain,(
% 0.10/0.39 ?[X1,X2]: ![Y1,Y2]: ?[Z]: (big_f(X1,Y2,X1,Z)&((big_f(X1,Y1,X1,Y2)<=>big_f(Y1,X2,Y1,Y2))&(big_f(X1,Y1,X1,Y2)&(sP0_prd(Z,Y2,Y1,X1)|(big_f(X1,Z,Y1,Z)&(big_f(X1,Y1,X1,Y2)<~>big_f(X1,Y2,Y1,Y2)))))))),
% 0.10/0.39 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.10/0.39 fof(f6,plain,(
% 0.10/0.39 ?[X1,X2]: ![Y1,Y2]: ?[Z]: (big_f(X1,Y2,X1,Z)&(((~big_f(X1,Y1,X1,Y2)|big_f(Y1,X2,Y1,Y2))&(big_f(X1,Y1,X1,Y2)|~big_f(Y1,X2,Y1,Y2)))&(big_f(X1,Y1,X1,Y2)&(sP0_prd(Z,Y2,Y1,X1)|(big_f(X1,Z,Y1,Z)&((big_f(X1,Y1,X1,Y2)|big_f(X1,Y2,Y1,Y2))&(~big_f(X1,Y1,X1,Y2)|~big_f(X1,Y2,Y1,Y2))))))))),
% 0.10/0.39 inference(NNF_transformation,[status(thm)],[f5])).
% 0.10/0.39 fof(f7,plain,(
% 0.10/0.39 ![Y1,Y2]: (big_f(sK0_skl,Y2,sK0_skl,sK2_skl(Y2,Y1))&(((~big_f(sK0_skl,Y1,sK0_skl,Y2)|big_f(Y1,sK1_skl,Y1,Y2))&(big_f(sK0_skl,Y1,sK0_skl,Y2)|~big_f(Y1,sK1_skl,Y1,Y2)))&(big_f(sK0_skl,Y1,sK0_skl,Y2)&(sP0_prd(sK2_skl(Y2,Y1),Y2,Y1,sK0_skl)|(big_f(sK0_skl,sK2_skl(Y2,Y1),Y1,sK2_skl(Y2,Y1))&((big_f(sK0_skl,Y1,sK0_skl,Y2)|big_f(sK0_skl,Y2,Y1,Y2))&(~big_f(sK0_skl,Y1,sK0_skl,Y2)|~big_f(sK0_skl,Y2,Y1,Y2))))))))),
% 0.10/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X1,sK0_skl),skolemize(X2,sK1_skl),skolemize(Z,sK2_skl(Y2,Y1))],[f6])).
% 0.10/0.39 fof(f11,plain,(
% 0.10/0.39 ![X0,X1]: (big_f(sK0_skl,X0,sK0_skl,X1))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.39 fof(f14,plain,(
% 0.10/0.39 ![X0,X1]: (sP0_prd(sK2_skl(X0,X1),X0,X1,sK0_skl)|~big_f(sK0_skl,X1,sK0_skl,X0)|~big_f(sK0_skl,X0,X1,X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.39 fof(f15,plain,(
% 0.10/0.39 ![X1,Y1,Y2,Z]: ((~sP0_prd(Z,Y2,Y1,X1)|(big_f(X1,Y2,Y1,Y2)&~big_f(X1,Z,Y1,Z)))&(sP0_prd(Z,Y2,Y1,X1)|(~big_f(X1,Y2,Y1,Y2)|big_f(X1,Z,Y1,Z))))),
% 0.10/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.10/0.39 fof(f16,plain,(
% 0.10/0.39 (![X1,Y1,Y2,Z]: (~sP0_prd(Z,Y2,Y1,X1)|(big_f(X1,Y2,Y1,Y2)&~big_f(X1,Z,Y1,Z))))&(![X1,Y1,Y2,Z]: (sP0_prd(Z,Y2,Y1,X1)|(~big_f(X1,Y2,Y1,Y2)|big_f(X1,Z,Y1,Z))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f15])).
% 0.10/0.39 fof(f18,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1,X2,X3)|~big_f(X3,X0,X2,X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.39 fof(f33,plain,(
% 0.10/0.39 ![X0,X1]: (sP0_prd(sK2_skl(X0,X1),X0,X1,sK0_skl)|~big_f(sK0_skl,X0,X1,X0))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f14,f11])).
% 0.10/0.39 fof(f35,plain,(
% 0.10/0.39 ![X0,X1]: (~big_f(sK0_skl,X0,X1,X0)|~big_f(sK0_skl,sK2_skl(X0,X1),X1,sK2_skl(X0,X1)))),
% 0.10/0.39 inference(resolution,[status(thm)],[f33,f18])).
% 0.10/0.39 fof(f37,plain,(
% 0.10/0.39 ![X0]: (~big_f(sK0_skl,X0,sK0_skl,X0))),
% 0.10/0.39 inference(resolution,[status(thm)],[f35,f11])).
% 0.10/0.39 fof(f41,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f37,f11])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.41 % Elapsed time: 0.032144 seconds
% 0.10/0.41 % CPU time: 0.070767 seconds
% 0.10/0.41 % Total memory used: 8.977 MB
% 0.10/0.41 % Net memory used: 8.727 MB
%------------------------------------------------------------------------------