%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN353-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 : Unsatisfiable 0.08s 5.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN353-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n007.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 10:49:12 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.08/5.39 % Refutation found
% 0.08/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/5.39 % SZS output start CNFRefutation for theBenchmark
% 0.08/5.39 fof(f1,negated_conjecture,(
% 0.08/5.39 (![Y1,Y2,Y3]: (( ~ f(Y1,Y2,Y3)| ~ f(a,a,z(Y1,Y2,Y3))| f(Y2,Y3,Y1)| f(Y3,Y1,Y2) ) ))),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f2,negated_conjecture,(
% 0.08/5.39 (![Y3,Y1,Y2]: (( ~ f(Y3,Y1,Y2)| f(Y1,Y2,Y3)| ~ f(Y2,Y1,z(Y1,Y2,Y3)) ) ))),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f3,negated_conjecture,(
% 0.08/5.39 (![Y3,Y1,Y2]: (( ~ f(Y3,Y1,Y2)| f(Y2,Y3,Y1)| ~ f(Y2,Y1,z(Y1,Y2,Y3)) ) ))),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f4,negated_conjecture,(
% 0.08/5.39 (![Y3,Y1,Y2]: (( f(Y3,Y1,Y2)| f(Y2,Y1,z(Y1,Y2,Y3)) ) ))),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f5,negated_conjecture,(
% 0.08/5.39 (![Y1,Y2,Y3]: (( ~ f(Y1,Y2,Y3)| ~ f(Y2,Y3,Y1)| f(Y2,Y1,z(Y1,Y2,Y3)) ) ))),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f6,negated_conjecture,(
% 0.08/5.39 (![Y2,Y3,Y1]: (( ~ f(Y2,Y3,Y1)| f(Y1,Y2,Y3)| ~ f(Y1,z(Y1,Y2,Y3),Y2) ) ))),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f7,negated_conjecture,(
% 0.08/5.39 (![Y2,Y3,Y1]: (( ~ f(Y2,Y3,Y1)| f(Y3,Y1,Y2)| ~ f(Y1,z(Y1,Y2,Y3),Y2) ) ))),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f8,negated_conjecture,(
% 0.08/5.39 (![Y2,Y3,Y1]: (( f(Y2,Y3,Y1)| f(Y1,z(Y1,Y2,Y3),Y2) ) ))),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f9,negated_conjecture,(
% 0.08/5.39 (![Y1,Y2,Y3]: (( ~ f(Y1,Y2,Y3)| ~ f(Y3,Y1,Y2)| f(Y1,z(Y1,Y2,Y3),Y2) ) ))),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f10,negated_conjecture,(
% 0.08/5.39 (![Y3,Y1,Y2]: (( f(Y3,Y1,Y2)| f(Y1,Y2,Y3)| ~ f(z(Y1,Y2,Y3),Y2,Y1) ) ))),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f11,negated_conjecture,(
% 0.08/5.39 (![Y2,Y3,Y1]: (( f(Y2,Y3,Y1)| f(Y1,Y2,Y3)| ~ f(z(Y1,Y2,Y3),Y2,Y1) ) ))),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f12,negated_conjecture,(
% 0.08/5.39 (![Y3,Y1,Y2]: (( ~ f(Y3,Y1,Y2)| ~ f(Y2,Y3,Y1)| f(z(Y1,Y2,Y3),Y2,Y1) ) ))),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f17,negated_conjecture,(
% 0.08/5.39 (![Y1,Y2,Y3]: (( ~ f(Y1,Y2,Y3)| ~ f(Y2,Y3,Y1)| ~ f(Y3,Y1,Y2)| ~ f(z(Y1,Y2,Y3),z(Y1,Y2,Y3),z(Y1,Y2,Y3)) ) ))),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f18,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(X0,X1,X2)|~f(a,a,z(X0,X1,X2))|f(X1,X2,X0)|f(X2,X0,X1))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/5.39 fof(f19,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(X0,X1,X2)|f(X1,X2,X0)|~f(X2,X1,z(X1,X2,X0)))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/5.39 fof(f20,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(X0,X1,X2)|f(X2,X0,X1)|~f(X2,X1,z(X1,X2,X0)))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/5.39 fof(f21,plain,(
% 0.08/5.39 ![X0,X1,X2]: (f(X0,X1,X2)|f(X2,X1,z(X1,X2,X0)))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/5.39 fof(f22,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(X0,X1,X2)|~f(X1,X2,X0)|f(X1,X0,z(X0,X1,X2)))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/5.39 fof(f23,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(X0,X1,X2)|f(X2,X0,X1)|~f(X2,z(X2,X0,X1),X0))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/5.39 fof(f24,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(X0,X1,X2)|f(X1,X2,X0)|~f(X2,z(X2,X0,X1),X0))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/5.39 fof(f25,plain,(
% 0.08/5.39 ![X0,X1,X2]: (f(X0,X1,X2)|f(X2,z(X2,X0,X1),X0))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/5.39 fof(f26,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(X0,X1,X2)|~f(X2,X0,X1)|f(X0,z(X0,X1,X2),X1))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/5.39 fof(f27,plain,(
% 0.08/5.39 ![X0,X1,X2]: (f(X0,X1,X2)|f(X1,X2,X0)|~f(z(X1,X2,X0),X2,X1))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/5.39 fof(f28,plain,(
% 0.08/5.39 ![X0,X1,X2]: (f(X0,X1,X2)|f(X2,X0,X1)|~f(z(X2,X0,X1),X0,X2))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/5.39 fof(f29,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(X0,X1,X2)|~f(X2,X0,X1)|f(z(X1,X2,X0),X2,X1))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/5.39 fof(f34,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(X0,X1,X2)|~f(X1,X2,X0)|~f(X2,X0,X1)|~f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2)))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/5.39 fof(f35,plain,(
% 0.08/5.39 ![X0]: (~f(a,a,X0)|f(a,X0,a)|f(X0,a,a)|f(X0,a,a))),
% 0.08/5.39 inference(resolution,[status(thm)],[f18,f21])).
% 0.08/5.39 fof(f36,plain,(
% 0.08/5.39 ![X0]: (~f(a,a,X0)|f(a,X0,a)|f(X0,a,a))),
% 0.08/5.39 inference(duplicate_literals_removal,[status(thm)],[f35])).
% 0.08/5.39 fof(f51,plain,(
% 0.08/5.39 ![X0]: (f(a,z(a,a,X0),a)|f(z(a,a,X0),a,a)|f(X0,a,a))),
% 0.08/5.39 inference(resolution,[status(thm)],[f36,f21])).
% 0.08/5.39 fof(f56,plain,(
% 0.08/5.39 ![X0]: (f(a,z(a,a,X0),a)|f(X0,a,a)|f(X0,a,a)|f(a,a,X0))),
% 0.08/5.39 inference(resolution,[status(thm)],[f51,f27])).
% 0.08/5.39 fof(f57,plain,(
% 0.08/5.39 ![X0]: (f(a,z(a,a,X0),a)|f(X0,a,a)|f(a,a,X0))),
% 0.08/5.39 inference(duplicate_literals_removal,[status(thm)],[f56])).
% 0.08/5.39 fof(f58,plain,(
% 0.08/5.39 ![X0]: (f(X0,a,a)|f(a,a,X0)|~f(a,X0,a)|f(X0,a,a))),
% 0.08/5.39 inference(resolution,[status(thm)],[f57,f24])).
% 0.08/5.39 fof(f60,plain,(
% 0.08/5.39 ![X0]: (f(X0,a,a)|f(a,a,X0)|~f(a,X0,a))),
% 0.08/5.39 inference(duplicate_literals_removal,[status(thm)],[f58])).
% 0.08/5.39 fof(f64,plain,(
% 0.08/5.39 ![X0]: (f(z(a,a,X0),a,a)|f(a,a,z(a,a,X0))|f(a,X0,a))),
% 0.08/5.39 inference(resolution,[status(thm)],[f60,f25])).
% 0.08/5.39 fof(f65,plain,(
% 0.08/5.39 ![X0]: (f(a,a,z(a,a,X0))|f(a,X0,a)|f(a,X0,a)|f(a,a,X0))),
% 0.08/5.39 inference(resolution,[status(thm)],[f64,f28])).
% 0.08/5.39 fof(f67,plain,(
% 0.08/5.39 ![X0]: (f(a,a,z(a,a,X0))|f(a,X0,a)|f(a,a,X0))),
% 0.08/5.39 inference(duplicate_literals_removal,[status(thm)],[f65])).
% 0.08/5.39 fof(f70,plain,(
% 0.08/5.39 ![X0]: (f(a,X0,a)|f(a,a,X0)|~f(X0,a,a)|f(a,X0,a))),
% 0.08/5.39 inference(resolution,[status(thm)],[f67,f20])).
% 0.08/5.39 fof(f72,plain,(
% 0.08/5.39 ![X0]: (f(a,X0,a)|f(a,a,X0)|~f(X0,a,a))),
% 0.08/5.39 inference(duplicate_literals_removal,[status(thm)],[f70])).
% 0.08/5.39 fof(f76,plain,(
% 0.08/5.39 ![X0]: (f(a,z(a,a,X0),a)|f(a,a,z(a,a,X0))|~f(X0,a,a)|~f(a,X0,a))),
% 0.08/5.39 inference(resolution,[status(thm)],[f72,f29])).
% 0.08/5.39 fof(f80,plain,(
% 0.08/5.39 ![X0]: (f(a,z(a,a,X0),a)|f(a,a,z(a,a,X0))|~f(X0,a,a))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f76,f25])).
% 0.08/5.39 fof(f81,plain,(
% 0.08/5.39 ![X0]: (f(a,z(a,a,X0),a)|f(a,a,z(a,a,X0)))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f80,f21])).
% 0.08/5.39 fof(f84,plain,(
% 0.08/5.39 ![X0]: (f(a,a,z(a,a,X0))|~f(a,X0,a)|f(a,a,X0))),
% 0.08/5.39 inference(resolution,[status(thm)],[f81,f23])).
% 0.08/5.39 fof(f86,plain,(
% 0.08/5.39 ![X0]: (f(a,a,z(a,a,X0))|~f(a,X0,a))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f84,f22])).
% 0.08/5.39 fof(f92,plain,(
% 0.08/5.39 ![X0]: (~f(a,X0,a)|~f(X0,a,a)|f(a,a,X0))),
% 0.08/5.39 inference(resolution,[status(thm)],[f86,f19])).
% 0.08/5.39 fof(f94,plain,(
% 0.08/5.39 ![X0]: (~f(X0,a,a)|f(a,a,X0))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f92,f72])).
% 0.08/5.39 fof(f95,plain,(
% 0.08/5.39 ![X0]: (f(a,a,X0)|~f(a,X0,a))),
% 0.08/5.39 inference(backward_subsumption_resolution,[status(thm)],[f60,f94])).
% 0.08/5.39 fof(f100,plain,(
% 0.08/5.39 ![X0]: (f(a,a,z(a,a,X0)))),
% 0.08/5.39 inference(backward_subsumption_resolution,[status(thm)],[f81,f95])).
% 0.08/5.39 fof(f107,plain,(
% 0.08/5.39 ![X0]: (~f(X0,a,a)|f(a,X0,a))),
% 0.08/5.39 inference(resolution,[status(thm)],[f100,f20])).
% 0.08/5.39 fof(f109,plain,(
% 0.08/5.39 ![X0]: (f(a,z(a,a,X0),a)|f(X0,a,a))),
% 0.08/5.39 inference(backward_subsumption_resolution,[status(thm)],[f51,f107])).
% 0.08/5.39 fof(f110,plain,(
% 0.08/5.39 ![X0]: (~f(a,a,X0)|f(a,X0,a))),
% 0.08/5.39 inference(backward_subsumption_resolution,[status(thm)],[f36,f107])).
% 0.08/5.39 fof(f114,plain,(
% 0.08/5.39 ![X0]: (f(a,z(a,a,X0),a))),
% 0.08/5.39 inference(resolution,[status(thm)],[f110,f100])).
% 0.08/5.39 fof(f119,plain,(
% 0.08/5.39 ![X0]: (f(X0,a,a)|~f(a,X0,a)|f(X0,a,a))),
% 0.08/5.39 inference(resolution,[status(thm)],[f109,f24])).
% 0.08/5.39 fof(f121,plain,(
% 0.08/5.39 ![X0]: (f(X0,a,a)|~f(a,X0,a))),
% 0.08/5.39 inference(duplicate_literals_removal,[status(thm)],[f119])).
% 0.08/5.39 fof(f125,plain,(
% 0.08/5.39 ![X0]: (f(z(a,a,X0),a,a))),
% 0.08/5.39 inference(resolution,[status(thm)],[f121,f114])).
% 0.08/5.39 fof(f128,plain,(
% 0.08/5.39 ![X0]: (f(a,X0,a)|f(a,a,X0))),
% 0.08/5.39 inference(resolution,[status(thm)],[f125,f28])).
% 0.08/5.39 fof(f132,plain,(
% 0.08/5.39 ![X0]: (f(a,a,X0))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f128,f95])).
% 0.08/5.39 fof(f134,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(X0,X1,X2)|f(X1,X2,X0)|f(X2,X0,X1))),
% 0.08/5.39 inference(backward_subsumption_resolution,[status(thm)],[f18,f132])).
% 0.08/5.39 fof(f151,plain,(
% 0.08/5.39 ![X0,X1,X2]: (f(X0,X1,z(X1,X0,X2))|f(X1,z(X1,X0,X2),X0)|~f(X2,X1,X0)|~f(X0,X2,X1))),
% 0.08/5.39 inference(resolution,[status(thm)],[f134,f29])).
% 0.08/5.39 fof(f161,plain,(
% 0.08/5.39 ![X0,X1,X2]: (f(X0,X1,z(X1,X0,X2))|f(X1,z(X1,X0,X2),X0)|~f(X2,X1,X0))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f151,f25])).
% 0.08/5.39 fof(f162,plain,(
% 0.08/5.39 ![X0,X1,X2]: (f(X0,X1,z(X1,X0,X2))|f(X1,z(X1,X0,X2),X0))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f161,f21])).
% 0.08/5.39 fof(f164,plain,(
% 0.08/5.39 ![X0,X1,X2]: (f(X0,z(X0,X1,X2),X1)|~f(X2,X0,X1)|f(X0,X1,X2))),
% 0.08/5.39 inference(resolution,[status(thm)],[f162,f19])).
% 0.08/5.39 fof(f169,plain,(
% 0.08/5.39 ![X0,X1,X2]: (f(X0,z(X0,X1,X2),X1)|~f(X2,X0,X1))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f164,f26])).
% 0.08/5.39 fof(f174,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(X0,X1,X2)|~f(X2,X0,X1)|f(X1,X2,X0))),
% 0.08/5.39 inference(resolution,[status(thm)],[f169,f23])).
% 0.08/5.39 fof(f176,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(X0,X1,X2)|f(X1,X2,X0))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f174,f134])).
% 0.08/5.39 fof(f178,plain,(
% 0.08/5.39 ![X0,X1,X2]: (f(X0,X1,X2)|~f(z(X2,X0,X1),X0,X2))),
% 0.08/5.39 inference(backward_subsumption_resolution,[status(thm)],[f28,f176])).
% 0.08/5.39 fof(f180,plain,(
% 0.08/5.39 ![X0,X1,X2]: (f(X0,z(X0,X1,X2),X1))),
% 0.08/5.39 inference(backward_subsumption_resolution,[status(thm)],[f162,f176])).
% 0.08/5.39 fof(f181,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(X0,X1,X2)|~f(X2,X0,X1)|~f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2)))),
% 0.08/5.39 inference(backward_subsumption_resolution,[status(thm)],[f34,f176])).
% 0.08/5.39 fof(f186,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(X0,X1,X2)|~f(z(X1,X2,X0),z(X1,X2,X0),z(X1,X2,X0)))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f181,f176])).
% 0.08/5.39 fof(f190,plain,(
% 0.08/5.39 ![X0,X1,X2]: (f(X0,X1,X2)|~f(X2,z(X2,X0,X1),X0))),
% 0.08/5.39 inference(resolution,[status(thm)],[f178,f176])).
% 0.08/5.39 fof(f191,plain,(
% 0.08/5.39 ![X0,X1,X2]: (f(X0,X1,X2))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f190,f180])).
% 0.08/5.39 fof(f192,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2)))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f186,f191])).
% 0.08/5.39 fof(f193,plain,(
% 0.08/5.39 $false),
% 0.08/5.39 inference(resolution,[status(thm)],[f192,f191])).
% 0.08/5.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.41 % Elapsed time: 0.039284 seconds
% 0.13/5.41 % CPU time: 0.129727 seconds
% 0.13/5.41 % Total memory used: 14.231 MB
% 0.13/5.41 % Net memory used: 13.797 MB
%------------------------------------------------------------------------------