%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT010-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 12:07:42 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT010-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.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
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 13:58:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f2,axiom,(
% 0.09/0.38 (![A,B,C]: (ifeq2(A,A,B,C) = B ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f3,axiom,(
% 0.09/0.38 (![A,B,C]: (ifeq(A,A,B,C) = B ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f7,axiom,(
% 0.09/0.38 (![X]: (ifeq(there_exists(domain(X)),true,there_exists(X),true) = true ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f9,axiom,(
% 0.09/0.38 (![X,Y]: (ifeq(there_exists(compose(X,Y)),true,there_exists(domain(X)),true) = true ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f10,axiom,(
% 0.09/0.38 (![X,Y]: (ifeq2(there_exists(compose(X,Y)),true,domain(X),codomain(Y)) = codomain(Y) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f12,axiom,(
% 0.09/0.38 (![X,Y,Z]: (compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f14,axiom,(
% 0.09/0.38 (![X]: (compose(codomain(X),X) = X ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f15,hypothesis,(
% 0.09/0.38 there_exists(compose(a,b)) = true ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f16,negated_conjecture,(
% 0.09/0.38 codomain(compose(a,b)) != codomain(a) ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f18,plain,(
% 0.09/0.38 ![X0,X1,X2]: (ifeq2(X0,X0,X1,X2)=X1)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.38 fof(f19,plain,(
% 0.09/0.38 ![X0,X1,X2]: (ifeq(X0,X0,X1,X2)=X1)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.38 fof(f23,plain,(
% 0.09/0.38 ![X0]: (ifeq(there_exists(domain(X0)),true,there_exists(X0),true)=true)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.38 fof(f25,plain,(
% 0.09/0.38 ![X0,X1]: (ifeq(there_exists(compose(X0,X1)),true,there_exists(domain(X0)),true)=true)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.38 fof(f26,plain,(
% 0.09/0.38 ![X0,X1]: (ifeq2(there_exists(compose(X0,X1)),true,domain(X0),codomain(X1))=codomain(X1))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.38 fof(f28,plain,(
% 0.09/0.38 ![X0,X1,X2]: (compose(X0,compose(X1,X2))=compose(compose(X0,X1),X2))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.38 fof(f30,plain,(
% 0.09/0.38 ![X0]: (compose(codomain(X0),X0)=X0)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.38 fof(f31,plain,(
% 0.09/0.38 there_exists(compose(a,b))=true),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.38 fof(f32,plain,(
% 0.09/0.38 ~codomain(compose(a,b))=codomain(a)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.38 fof(f33,definition,(
% 0.09/0.38 sF1_fnc=compose(a,b)),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.09/0.38 fof(f34,definition,(
% 0.09/0.38 sF0_fnc=codomain(sF1_fnc)),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.38 fof(f35,definition,(
% 0.09/0.38 sF2_fnc=codomain(a)),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.09/0.38 fof(f36,plain,(
% 0.09/0.38 ~sF0_fnc=sF2_fnc),
% 0.09/0.38 inference(definition_folding,[],[f32,f35,f34,f33])).
% 0.09/0.38 fof(f37,plain,(
% 0.09/0.38 there_exists(sF1_fnc)=true),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f33,f31])).
% 0.09/0.38 fof(f48,plain,(
% 0.09/0.38 compose(sF2_fnc,a)=a),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f35,f30])).
% 0.09/0.38 fof(f50,plain,(
% 0.09/0.38 ![X0,X1]: (compose(codomain(X0),compose(X0,X1))=compose(X0,X1))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f30,f28])).
% 0.09/0.38 fof(f71,plain,(
% 0.09/0.38 ifeq(there_exists(sF1_fnc),true,there_exists(domain(a)),true)=true),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f33,f25])).
% 0.09/0.38 fof(f78,plain,(
% 0.09/0.38 ifeq(true,true,there_exists(domain(a)),true)=true),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f37,f71])).
% 0.09/0.38 fof(f80,plain,(
% 0.09/0.38 there_exists(domain(a))=true),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f19,f78])).
% 0.09/0.38 fof(f88,plain,(
% 0.09/0.38 ifeq(true,true,there_exists(a),true)=true),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f80,f23])).
% 0.09/0.38 fof(f95,plain,(
% 0.09/0.38 there_exists(a)=true),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f19,f88])).
% 0.09/0.38 fof(f119,plain,(
% 0.09/0.38 compose(codomain(a),sF1_fnc)=compose(a,b)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f33,f50])).
% 0.09/0.38 fof(f131,plain,(
% 0.15/0.38 compose(sF2_fnc,sF1_fnc)=compose(a,b)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f35,f119])).
% 0.15/0.38 fof(f132,plain,(
% 0.15/0.38 compose(sF2_fnc,sF1_fnc)=sF1_fnc),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f33,f131])).
% 0.15/0.38 fof(f222,plain,(
% 0.15/0.38 ifeq2(there_exists(sF1_fnc),true,domain(sF2_fnc),codomain(sF1_fnc))=codomain(sF1_fnc)),
% 0.15/0.38 inference(paramodulation,[status(thm)],[f132,f26])).
% 0.15/0.38 fof(f223,plain,(
% 0.15/0.38 ifeq2(there_exists(a),true,domain(sF2_fnc),codomain(a))=codomain(a)),
% 0.15/0.38 inference(paramodulation,[status(thm)],[f48,f26])).
% 0.15/0.38 fof(f243,plain,(
% 0.15/0.38 ifeq2(true,true,domain(sF2_fnc),codomain(sF1_fnc))=codomain(sF1_fnc)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f37,f222])).
% 0.15/0.38 fof(f244,plain,(
% 0.15/0.38 domain(sF2_fnc)=codomain(sF1_fnc)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f18,f243])).
% 0.15/0.38 fof(f246,plain,(
% 0.15/0.38 domain(sF2_fnc)=sF0_fnc),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f34,f244])).
% 0.15/0.38 fof(f247,plain,(
% 0.15/0.38 ifeq2(true,true,domain(sF2_fnc),codomain(a))=codomain(a)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f95,f223])).
% 0.15/0.38 fof(f248,plain,(
% 0.15/0.38 domain(sF2_fnc)=codomain(a)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f18,f247])).
% 0.15/0.38 fof(f249,plain,(
% 0.15/0.38 sF2_fnc=sF0_fnc),
% 0.15/0.38 inference(backward_demodulation,[status(thm)],[f250,f35])).
% 0.15/0.38 fof(f250,plain,(
% 0.15/0.38 sF0_fnc=codomain(a)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f246,f248])).
% 0.15/0.38 fof(f257,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f249,f36])).
% 0.15/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.071635 seconds
% 0.15/0.44 % CPU time: 0.102218 seconds
% 0.15/0.44 % Total memory used: 3.153 MB
% 0.15/0.44 % Net memory used: 3.144 MB
%------------------------------------------------------------------------------