%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN331+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 : n003.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 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN331+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
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Sep 21 10:51:46 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % 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,Y] :(! [Z] :( big_f(X,Z)=> ( big_f(Y,Z)=> ( ( big_f(X,Y)<=> big_f(Z,Z) )=> ( ( big_f(Y,X)| big_f(Z,Z) )=> ( big_f(Z,X)| big_f(Z,Y) ) ) ) ) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,negated_conjecture,(
% 0.13/0.39 ~((? [X,Y] :(! [Z] :( big_f(X,Z)=> ( big_f(Y,Z)=> ( ( big_f(X,Y)<=> big_f(Z,Z) )=> ( ( big_f(Y,X)| big_f(Z,Z) )=> ( big_f(Z,X)| big_f(Z,Y) ) ) ) ) ) )))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.39 fof(f3,plain,(
% 0.13/0.39 (![X,Y]: ?[Z]: (big_f(X,Z)&(big_f(Y,Z)&((big_f(X,Y)<=>big_f(Z,Z))&((big_f(Y,X)|big_f(Z,Z))&(~big_f(Z,X)&~big_f(Z,Y)))))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f4,plain,(
% 0.13/0.39 ![X,Y]: ?[Z]: (big_f(X,Z)&(big_f(Y,Z)&(((~big_f(X,Y)|big_f(Z,Z))&(big_f(X,Y)|~big_f(Z,Z)))&((big_f(Y,X)|big_f(Z,Z))&(~big_f(Z,X)&~big_f(Z,Y))))))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f5,plain,(
% 0.13/0.39 ![X,Y]: (big_f(X,sK0_skl(Y,X))&(big_f(Y,sK0_skl(Y,X))&(((~big_f(X,Y)|big_f(sK0_skl(Y,X),sK0_skl(Y,X)))&(big_f(X,Y)|~big_f(sK0_skl(Y,X),sK0_skl(Y,X))))&((big_f(Y,X)|big_f(sK0_skl(Y,X),sK0_skl(Y,X)))&(~big_f(sK0_skl(Y,X),X)&~big_f(sK0_skl(Y,X),Y))))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(Y,X))],[f4])).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 ![X0,X1]: (big_f(X0,X1)|~big_f(sK0_skl(X1,X0),sK0_skl(X1,X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 ![X0,X1]: (big_f(X0,X1)|big_f(sK0_skl(X0,X1),sK0_skl(X0,X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 ![X0,X1]: (~big_f(sK0_skl(X0,X1),X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 ![X0,X1]: (big_f(X0,X1)|big_f(X1,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f10,f9])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ![X0,X1]: (big_f(X0,X1))),
% 0.13/0.39 inference(resolution,[status(thm)],[f14,f9])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f12,f15])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.040819 seconds
% 0.13/0.42 % CPU time: 0.102348 seconds
% 0.13/0.42 % Total memory used: 16.545 MB
% 0.13/0.42 % Net memory used: 16.015 MB
%------------------------------------------------------------------------------