%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN332+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 03:19:23 PM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN332+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 10:55:44 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f1,conjecture,(
% 0.11/0.40 (? [X,Y] :(! [Z] :( ( ( big_f(X,Y)& big_f(Y,X) )<~> big_f(X,Z) )=> ( ( big_f(X,Z)<=> big_f(Z,X) )=> ( ( big_f(X,Z)<=> big_f(Y,Z) )=> ( ( ( big_f(Y,X)=> big_f(X,Y) )<=> big_f(Z,Z) )=> ( ( big_f(X,Y)<=> big_f(Y,X) )<=> big_f(Z,Y) ) ) ) ) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f2,negated_conjecture,(
% 0.11/0.40 ~((? [X,Y] :(! [Z] :( ( ( big_f(X,Y)& big_f(Y,X) )<~> big_f(X,Z) )=> ( ( big_f(X,Z)<=> big_f(Z,X) )=> ( ( big_f(X,Z)<=> big_f(Y,Z) )=> ( ( ( big_f(Y,X)=> big_f(X,Y) )<=> big_f(Z,Z) )=> ( ( big_f(X,Y)<=> big_f(Y,X) )<=> big_f(Z,Y) ) ) ) ) ) )))),
% 0.11/0.40 inference(negated_conjecture,[status(cth)],[f1])).
% 0.11/0.40 fof(f3,plain,(
% 0.11/0.40 (![X,Y]: ?[Z]: (((big_f(X,Y)&big_f(Y,X))<~>big_f(X,Z))&((big_f(X,Z)<=>big_f(Z,X))&((big_f(X,Z)<=>big_f(Y,Z))&(((~big_f(Y,X)|big_f(X,Y))<=>big_f(Z,Z))&((big_f(X,Y)<=>big_f(Y,X))<~>big_f(Z,Y)))))))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.11/0.40 fof(f4,plain,(
% 0.11/0.40 ![X,Y]: ?[Z]: ((((big_f(X,Y)&big_f(Y,X))|big_f(X,Z))&((~big_f(X,Y)|~big_f(Y,X))|~big_f(X,Z)))&(((~big_f(X,Z)|big_f(Z,X))&(big_f(X,Z)|~big_f(Z,X)))&(((~big_f(X,Z)|big_f(Y,Z))&(big_f(X,Z)|~big_f(Y,Z)))&((((big_f(Y,X)&~big_f(X,Y))|big_f(Z,Z))&((~big_f(Y,X)|big_f(X,Y))|~big_f(Z,Z)))&((((~big_f(X,Y)|big_f(Y,X))&(big_f(X,Y)|~big_f(Y,X)))|big_f(Z,Y))&(((~big_f(X,Y)|~big_f(Y,X))&(big_f(X,Y)|big_f(Y,X)))|~big_f(Z,Y)))))))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f3])).
% 0.11/0.40 fof(f5,plain,(
% 0.11/0.40 ![X,Y]: ((((big_f(X,Y)&big_f(Y,X))|big_f(X,sK0_skl(Y,X)))&((~big_f(X,Y)|~big_f(Y,X))|~big_f(X,sK0_skl(Y,X))))&(((~big_f(X,sK0_skl(Y,X))|big_f(sK0_skl(Y,X),X))&(big_f(X,sK0_skl(Y,X))|~big_f(sK0_skl(Y,X),X)))&(((~big_f(X,sK0_skl(Y,X))|big_f(Y,sK0_skl(Y,X)))&(big_f(X,sK0_skl(Y,X))|~big_f(Y,sK0_skl(Y,X))))&((((big_f(Y,X)&~big_f(X,Y))|big_f(sK0_skl(Y,X),sK0_skl(Y,X)))&((~big_f(Y,X)|big_f(X,Y))|~big_f(sK0_skl(Y,X),sK0_skl(Y,X))))&((((~big_f(X,Y)|big_f(Y,X))&(big_f(X,Y)|~big_f(Y,X)))|big_f(sK0_skl(Y,X),Y))&(((~big_f(X,Y)|~big_f(Y,X))&(big_f(X,Y)|big_f(Y,X)))|~big_f(sK0_skl(Y,X),Y)))))))),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(Y,X))],[f4])).
% 0.11/0.40 fof(f7,plain,(
% 0.11/0.40 ![X0,X1]: (big_f(X0,X1)|big_f(X1,sK0_skl(X0,X1)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.40 fof(f8,plain,(
% 0.11/0.40 ![X0,X1]: (~big_f(X0,X1)|~big_f(X1,X0)|~big_f(X0,sK0_skl(X1,X0)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.40 fof(f9,plain,(
% 0.11/0.40 ![X0,X1]: (~big_f(X0,sK0_skl(X1,X0))|big_f(sK0_skl(X1,X0),X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.40 fof(f11,plain,(
% 0.11/0.40 ![X0,X1]: (~big_f(X0,sK0_skl(X1,X0))|big_f(X1,sK0_skl(X1,X0)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.40 fof(f12,plain,(
% 0.11/0.40 ![X0,X1]: (big_f(X0,sK0_skl(X1,X0))|~big_f(X1,sK0_skl(X1,X0)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.40 fof(f15,plain,(
% 0.11/0.40 ![X0,X1]: (~big_f(X0,X1)|big_f(X1,X0)|~big_f(sK0_skl(X0,X1),sK0_skl(X0,X1)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.40 fof(f19,plain,(
% 0.11/0.40 ![X0,X1]: (big_f(X0,X1)|big_f(X1,X0)|~big_f(sK0_skl(X1,X0),X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.40 fof(f23,plain,(
% 0.11/0.40 ![X0]: (~big_f(X0,sK0_skl(X0,X0))|~big_f(X0,X0)|~big_f(X0,X0))),
% 0.11/0.40 inference(resolution,[status(thm)],[f11,f8])).
% 0.11/0.40 fof(f24,plain,(
% 0.11/0.40 ![X0]: (~big_f(X0,sK0_skl(X0,X0))|~big_f(X0,X0))),
% 0.11/0.40 inference(duplicate_literals_removal,[status(thm)],[f23])).
% 0.11/0.40 fof(f25,plain,(
% 0.11/0.40 ![X0,X1]: (~big_f(X0,sK0_skl(X0,X1))|~big_f(X1,X0)|~big_f(X0,X1))),
% 0.11/0.40 inference(resolution,[status(thm)],[f12,f8])).
% 0.11/0.40 fof(f38,plain,(
% 0.11/0.40 ![X0]: (big_f(X0,X0)|big_f(X0,X0)|~big_f(X0,sK0_skl(X0,X0)))),
% 0.11/0.40 inference(resolution,[status(thm)],[f19,f9])).
% 0.11/0.40 fof(f39,plain,(
% 0.11/0.40 ![X0]: (big_f(X0,X0)|~big_f(X0,sK0_skl(X0,X0)))),
% 0.11/0.40 inference(duplicate_literals_removal,[status(thm)],[f38])).
% 0.11/0.40 fof(f40,plain,(
% 0.11/0.40 ![X0]: (~big_f(X0,sK0_skl(X0,X0)))),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f39,f24])).
% 0.11/0.40 fof(f43,plain,(
% 0.11/0.40 ![X0]: (big_f(X0,X0))),
% 0.11/0.40 inference(resolution,[status(thm)],[f40,f7])).
% 0.11/0.40 fof(f45,plain,(
% 0.11/0.40 ![X0,X1]: (~big_f(X0,X1)|big_f(X1,X0))),
% 0.11/0.40 inference(backward_subsumption_resolution,[status(thm)],[f15,f43])).
% 0.11/0.40 fof(f46,plain,(
% 0.11/0.40 ![X0,X1]: (big_f(X0,X1)|~big_f(sK0_skl(X1,X0),X1))),
% 0.11/0.40 inference(backward_subsumption_resolution,[status(thm)],[f19,f45])).
% 0.11/0.40 fof(f49,plain,(
% 0.11/0.40 ![X0,X1]: (~big_f(X0,sK0_skl(X0,X1))|~big_f(X1,X0))),
% 0.11/0.40 inference(backward_subsumption_resolution,[status(thm)],[f25,f45])).
% 0.11/0.40 fof(f50,plain,(
% 0.11/0.40 ![X0]: (~big_f(sK0_skl(X0,X0),X0))),
% 0.11/0.40 inference(resolution,[status(thm)],[f45,f40])).
% 0.11/0.40 fof(f52,plain,(
% 0.11/0.40 ![X0,X1]: (big_f(X0,X1)|~big_f(X1,sK0_skl(X1,X0)))),
% 0.11/0.40 inference(resolution,[status(thm)],[f46,f45])).
% 0.11/0.40 fof(f53,plain,(
% 0.11/0.40 ![X0,X1]: (~big_f(X0,sK0_skl(X1,X0)))),
% 0.11/0.40 inference(backward_subsumption_resolution,[status(thm)],[f11,f54])).
% 0.11/0.40 fof(f54,plain,(
% 0.11/0.40 ![X0,X1]: (~big_f(X0,sK0_skl(X0,X1)))),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f52,f49])).
% 0.11/0.40 fof(f55,plain,(
% 0.11/0.40 ![X0,X1]: (big_f(X0,X1))),
% 0.11/0.40 inference(backward_subsumption_resolution,[status(thm)],[f7,f53])).
% 0.11/0.40 fof(f58,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(backward_subsumption_resolution,[status(thm)],[f50,f55])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.048942 seconds
% 0.11/0.42 % CPU time: 0.128108 seconds
% 0.11/0.42 % Total memory used: 17.120 MB
% 0.11/0.42 % Net memory used: 16.635 MB
%------------------------------------------------------------------------------