%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN074-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 03:18:53 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN074-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n005.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 21 10:42:03 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V4.1.1
% 0.10/0.36 % Refutation found
% 0.10/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.36 fof(f1,axiom,(
% 0.10/0.36 (![X,Y]: (( ~ big_f(X,Y)| X = a ) ))),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f2,axiom,(
% 0.10/0.36 (![X,Y]: (( ~ big_f(X,Y)| Y = b ) ))),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f3,axiom,(
% 0.10/0.36 (![X,Y]: (( X != a| Y != b| big_f(X,Y) ) ))),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f8,negated_conjecture,(
% 0.10/0.36 (![Y,X]: (( Y != g(X)| big_f(f(X),Y)| f(X) = X ) ))),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f10,negated_conjecture,(
% 0.10/0.36 (![X,Z]: (( f(X) != X| big_f(f(X),h(X,Z))| h(X,Z) = Z ) ))),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f11,negated_conjecture,(
% 0.10/0.36 (![X,Z]: (( f(X) != X| h(X,Z) != Z| ~ big_f(f(X),h(X,Z)) ) ))),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f12,plain,(
% 0.10/0.36 ![X]: ((![Y]: ~big_f(X,Y))|X=a)),
% 0.10/0.36 inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.36 fof(f13,plain,(
% 0.10/0.36 ![X0,X1]: (~big_f(X0,X1)|X0=a)),
% 0.10/0.36 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.36 fof(f14,plain,(
% 0.10/0.36 ![Y]: ((![X]: ~big_f(X,Y))|Y=b)),
% 0.10/0.36 inference(miniscoping,[status(thm)],[f2])).
% 0.10/0.36 fof(f15,plain,(
% 0.10/0.36 ![X0,X1]: (~big_f(X0,X1)|X1=b)),
% 0.10/0.36 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.36 fof(f16,plain,(
% 0.10/0.36 ![X0,X1]: (~X0=a|~X1=b|big_f(X0,X1))),
% 0.10/0.36 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.36 fof(f25,plain,(
% 0.10/0.36 ![X]: ((![Y]: (~Y=g(X)|big_f(f(X),Y)))|f(X)=X)),
% 0.10/0.36 inference(miniscoping,[status(thm)],[f8])).
% 0.10/0.36 fof(f26,plain,(
% 0.10/0.36 ![X0,X1]: (~X0=g(X1)|big_f(f(X1),X0)|f(X1)=X1)),
% 0.10/0.36 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.36 fof(f29,plain,(
% 0.10/0.36 ![X0,X1]: (~f(X0)=X0|big_f(f(X0),h(X0,X1))|h(X0,X1)=X1)),
% 0.10/0.36 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.36 fof(f30,plain,(
% 0.10/0.36 ![X0,X1]: (~f(X0)=X0|~h(X0,X1)=X1|~big_f(f(X0),h(X0,X1)))),
% 0.10/0.36 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.36 fof(f31,plain,(
% 0.10/0.36 big_f(a,b)),
% 0.10/0.36 inference(destructive_equality_resolution,[status(thm)],[f16])).
% 0.10/0.36 fof(f33,plain,(
% 0.10/0.36 ![X0]: (big_f(f(X0),g(X0))|f(X0)=X0)),
% 0.10/0.36 inference(destructive_equality_resolution,[status(thm)],[f26])).
% 0.10/0.36 fof(f43,plain,(
% 0.10/0.36 ![X0]: (f(X0)=a|f(X0)=X0)),
% 0.10/0.36 inference(resolution,[status(thm)],[f13,f33])).
% 0.10/0.36 fof(f49,plain,(
% 0.10/0.36 ![X0]: (big_f(f(a),h(a,X0))|h(a,X0)=X0)),
% 0.10/0.36 inference(resolution,[status(thm)],[f43,f29])).
% 0.10/0.36 fof(f60,plain,(
% 0.10/0.36 ![X0]: (~a=X0|f(X0)=X0)),
% 0.10/0.36 inference(equality_factoring,[status(thm)],[f43])).
% 0.10/0.36 fof(f68,plain,(
% 0.10/0.36 f(a)=a),
% 0.10/0.36 inference(destructive_equality_resolution,[status(thm)],[f60])).
% 0.10/0.36 fof(f86,plain,(
% 0.10/0.36 ![X0]: (h(a,X0)=X0|h(a,X0)=b)),
% 0.10/0.36 inference(resolution,[status(thm)],[f49,f15])).
% 0.10/0.36 fof(f159,plain,(
% 0.10/0.36 ![X0]: (~X0=b|h(a,X0)=b)),
% 0.10/0.36 inference(equality_factoring,[status(thm)],[f86])).
% 0.10/0.36 fof(f172,plain,(
% 0.10/0.36 h(a,b)=b),
% 0.10/0.36 inference(destructive_equality_resolution,[status(thm)],[f159])).
% 0.10/0.36 fof(f184,plain,(
% 0.10/0.36 ~f(a)=a|~h(a,b)=b|~big_f(f(a),b)),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f172,f30])).
% 0.10/0.36 fof(f197,plain,(
% 0.10/0.36 ~a=a|~h(a,b)=b|~big_f(f(a),b)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f68,f184])).
% 0.10/0.36 fof(f198,plain,(
% 0.10/0.36 ~a=a|~b=b|~big_f(f(a),b)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f172,f197])).
% 0.10/0.36 fof(f199,plain,(
% 0.10/0.36 ~a=a|~b=b|~big_f(a,b)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f68,f198])).
% 0.10/0.36 fof(f200,plain,(
% 0.10/0.36 ~big_f(a,b)),
% 0.10/0.36 inference(trivial_equality_resolution,[status(thm)],[f199])).
% 0.10/0.36 fof(f201,plain,(
% 0.10/0.36 $false),
% 0.10/0.36 inference(forward_subsumption_resolution,[status(thm)],[f200,f31])).
% 0.10/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.39 % Elapsed time: 0.036098 seconds
% 0.10/0.39 % CPU time: 0.089525 seconds
% 0.10/0.39 % Total memory used: 17.912 MB
% 0.10/0.39 % Net memory used: 17.844 MB
%------------------------------------------------------------------------------