%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN334-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 : Unsatisfiable 0.04s 0.31s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN334-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.28 % Computer : n012.cluster.edu
% 0.04/0.28 % Model : x86_64 x86_64
% 0.04/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.28 % Memory : 8046.5625MB
% 0.04/0.28 % OS : Linux 6.8.0-71-generic
% 0.04/0.28 % CPULimit : 300
% 0.04/0.28 % WCLimit : 300
% 0.04/0.28 % DateTime : Mon Sep 21 10:49:36 UTC 2026
% 0.04/0.29 % CPUTime :
% 0.04/0.29 % Drodi V4.1.1
% 0.04/0.31 % Refutation found
% 0.04/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.04/0.31 fof(f1,negated_conjecture,(
% 0.04/0.31 (![X,Y]: (( ~ f(X,Y)| f(X,z(X,Y))| ~ g(Y,z(X,Y)) ) ))),
% 0.04/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.31 fof(f2,negated_conjecture,(
% 0.04/0.31 (![X,Y]: (( ~ f(X,Y)| ~ f(X,z(X,Y))| g(Y,z(X,Y)) ) ))),
% 0.04/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.31 fof(f3,negated_conjecture,(
% 0.04/0.31 (![X,Y]: (( ~ f(z(X,Y),z(X,Y))| g(z(X,Y),z(X,Y))| ~ f(X,Y) ) ))),
% 0.04/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.31 fof(f5,negated_conjecture,(
% 0.04/0.31 (![X,Y]: (( ~ g(z(X,Y),z(X,Y))| f(X,Y) ) ))),
% 0.04/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.31 fof(f6,negated_conjecture,(
% 0.04/0.31 (![X,Y]: (( g(X,Y)| g(z(X,Y),z(X,Y)) ) ))),
% 0.04/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.31 fof(f7,negated_conjecture,(
% 0.04/0.31 (![X,Y]: (( ~ g(X,Y)| ~ g(z(X,Y),z(X,Y)) ) ))),
% 0.04/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.31 fof(f8,plain,(
% 0.04/0.31 ![X0,X1]: (~f(X0,X1)|f(X0,z(X0,X1))|~g(X1,z(X0,X1)))),
% 0.04/0.31 inference(cnf_transformation,[status(thm)],[f1])).
% 0.04/0.31 fof(f9,plain,(
% 0.04/0.31 ![X0,X1]: (~f(X0,X1)|~f(X0,z(X0,X1))|g(X1,z(X0,X1)))),
% 0.04/0.31 inference(cnf_transformation,[status(thm)],[f2])).
% 0.04/0.31 fof(f10,plain,(
% 0.04/0.31 ![X0,X1]: (~f(z(X0,X1),z(X0,X1))|g(z(X0,X1),z(X0,X1))|~f(X0,X1))),
% 0.04/0.31 inference(cnf_transformation,[status(thm)],[f3])).
% 0.04/0.31 fof(f12,plain,(
% 0.04/0.31 ![X0,X1]: (~g(z(X0,X1),z(X0,X1))|f(X0,X1))),
% 0.04/0.31 inference(cnf_transformation,[status(thm)],[f5])).
% 0.04/0.31 fof(f13,plain,(
% 0.04/0.31 ![X0,X1]: (g(X0,X1)|g(z(X0,X1),z(X0,X1)))),
% 0.04/0.31 inference(cnf_transformation,[status(thm)],[f6])).
% 0.04/0.31 fof(f14,plain,(
% 0.04/0.31 ![X0,X1]: (~g(X0,X1)|~g(z(X0,X1),z(X0,X1)))),
% 0.04/0.31 inference(cnf_transformation,[status(thm)],[f7])).
% 0.04/0.31 fof(f15,plain,(
% 0.04/0.31 ![X0,X1]: (g(X0,X1)|f(X0,X1))),
% 0.04/0.31 inference(resolution,[status(thm)],[f13,f12])).
% 0.04/0.31 fof(f17,plain,(
% 0.04/0.31 ![X0,X1]: (f(X0,z(X1,X0))|~f(X1,X0)|f(X1,z(X1,X0)))),
% 0.04/0.31 inference(resolution,[status(thm)],[f15,f8])).
% 0.04/0.31 fof(f19,plain,(
% 0.04/0.31 ![X0,X1]: (~g(X0,X1)|f(z(X0,X1),z(X0,X1)))),
% 0.04/0.31 inference(resolution,[status(thm)],[f14,f15])).
% 0.04/0.31 fof(f20,plain,(
% 0.04/0.31 ![X0,X1]: (f(z(X0,X1),z(z(X0,X1),z(X0,X1)))|f(z(X0,X1),z(z(X0,X1),z(X0,X1)))|~g(X0,X1))),
% 0.04/0.31 inference(resolution,[status(thm)],[f17,f19])).
% 0.04/0.31 fof(f22,plain,(
% 0.04/0.31 ![X0,X1]: (f(z(X0,X1),z(z(X0,X1),z(X0,X1)))|~g(X0,X1))),
% 0.04/0.31 inference(duplicate_literals_removal,[status(thm)],[f20])).
% 0.04/0.31 fof(f24,plain,(
% 0.04/0.31 ![X0,X1]: (~g(X0,X1)|~f(z(X0,X1),z(X0,X1))|g(z(X0,X1),z(z(X0,X1),z(X0,X1))))),
% 0.04/0.31 inference(resolution,[status(thm)],[f22,f9])).
% 0.04/0.31 fof(f26,plain,(
% 0.04/0.31 ![X0,X1]: (~g(X0,X1)|g(z(X0,X1),z(z(X0,X1),z(X0,X1))))),
% 0.04/0.31 inference(forward_subsumption_resolution,[status(thm)],[f24,f19])).
% 0.04/0.31 fof(f27,plain,(
% 0.04/0.31 ![X0,X1]: (g(z(X0,X1),z(X0,X1))|~f(X0,X1))),
% 0.04/0.31 inference(forward_subsumption_resolution,[status(thm)],[f10,f15])).
% 0.04/0.31 fof(f28,plain,(
% 0.04/0.31 ![X0,X1]: (~f(X0,X1)|~g(X0,X1))),
% 0.04/0.31 inference(resolution,[status(thm)],[f27,f14])).
% 0.04/0.31 fof(f41,plain,(
% 0.04/0.31 ![X0,X1]: (~g(X0,X1)|~f(z(X0,X1),z(z(X0,X1),z(X0,X1))))),
% 0.04/0.31 inference(resolution,[status(thm)],[f26,f28])).
% 0.04/0.31 fof(f42,plain,(
% 0.04/0.31 ![X0,X1]: (~g(X0,X1))),
% 0.04/0.31 inference(forward_subsumption_resolution,[status(thm)],[f41,f22])).
% 0.04/0.31 fof(f45,plain,(
% 0.04/0.31 ![X0,X1]: (g(z(X0,X1),z(X0,X1)))),
% 0.04/0.31 inference(backward_subsumption_resolution,[status(thm)],[f13,f42])).
% 0.04/0.31 fof(f48,plain,(
% 0.04/0.31 $false),
% 0.04/0.31 inference(forward_subsumption_resolution,[status(thm)],[f45,f42])).
% 0.04/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.04/0.32 % Elapsed time: 0.031615 seconds
% 0.04/0.32 % CPU time: 0.061666 seconds
% 0.04/0.32 % Total memory used: 16.698 MB
% 0.04/0.32 % Net memory used: 16.206 MB
%------------------------------------------------------------------------------