%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN170-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 03:19:04 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN170-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:45:10 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1,axiom,(
% 0.13/0.42 (![A,B,C]: (ifeq(A,A,B,C) = B ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f27,axiom,(
% 0.13/0.42 n0(d,c) = true ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f104,axiom,(
% 0.13/0.42 (![H,G]: (ifeq(n0(H,G),true,p1(G,G,G),true) = true ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f173,axiom,(
% 0.13/0.42 (![B,C,A]: (ifeq(p1(B,C,A),true,n2(A),true) = true ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f278,axiom,(
% 0.13/0.42 (![H]: (ifeq(n2(H),true,p3(H,H,H),true) = true ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f323,axiom,(
% 0.13/0.42 (![J,I]: (ifeq(p3(J,J,I),true,p4(I,I,I),true) = true ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f363,negated_conjecture,(
% 0.13/0.42 (![X,Y]: (p4(X,c,Y) != true ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f364,plain,(
% 0.13/0.42 ![X0,X1,X2]: (ifeq(X0,X0,X1,X2)=X1)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.42 fof(f390,plain,(
% 0.13/0.42 n0(d,c)=true),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.42 fof(f467,plain,(
% 0.13/0.42 ![X0,X1]: (ifeq(n0(X0,X1),true,p1(X1,X1,X1),true)=true)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f104])).
% 0.13/0.42 fof(f536,plain,(
% 0.13/0.42 ![X0,X1,X2]: (ifeq(p1(X0,X1,X2),true,n2(X2),true)=true)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f173])).
% 0.13/0.42 fof(f641,plain,(
% 0.13/0.42 ![X0]: (ifeq(n2(X0),true,p3(X0,X0,X0),true)=true)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f278])).
% 0.13/0.42 fof(f686,plain,(
% 0.13/0.42 ![X0,X1]: (ifeq(p3(X0,X0,X1),true,p4(X1,X1,X1),true)=true)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f323])).
% 0.13/0.42 fof(f726,plain,(
% 0.13/0.42 ![X0,X1]: (~p4(X0,c,X1)=true)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f363])).
% 0.13/0.42 fof(f727,definition,(
% 0.13/0.42 ![X0,X1]: (sF0_fnc(X0,X1)=p4(X0,c,X1))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sF0_fnc(X0,X1)])],[function_definition])).
% 0.13/0.42 fof(f728,plain,(
% 0.13/0.42 ![X0,X1]: (~sF0_fnc(X0,X1)=true)),
% 0.13/0.42 inference(definition_folding,[],[f726,f727])).
% 0.13/0.42 fof(f730,plain,(
% 0.13/0.42 ![X0]: (ifeq(p3(X0,X0,c),true,sF0_fnc(c,c),true)=true)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f727,f686])).
% 0.13/0.42 fof(f2004,plain,(
% 0.13/0.42 ifeq(true,true,p1(c,c,c),true)=true),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f390,f467])).
% 0.13/0.42 fof(f2014,plain,(
% 0.13/0.42 p1(c,c,c)=true),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f364,f2004])).
% 0.13/0.42 fof(f2040,plain,(
% 0.13/0.42 ifeq(true,true,n2(c),true)=true),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f2014,f536])).
% 0.13/0.42 fof(f2042,plain,(
% 0.13/0.42 n2(c)=true),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f364,f2040])).
% 0.13/0.42 fof(f2109,plain,(
% 0.13/0.42 ifeq(true,true,p3(c,c,c),true)=true),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f2042,f641])).
% 0.13/0.42 fof(f2113,plain,(
% 0.13/0.42 p3(c,c,c)=true),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f364,f2109])).
% 0.13/0.42 fof(f2575,plain,(
% 0.13/0.42 ifeq(true,true,sF0_fnc(c,c),true)=true),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f2113,f730])).
% 0.13/0.42 fof(f2579,plain,(
% 0.13/0.42 sF0_fnc(c,c)=true),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f364,f2575])).
% 0.13/0.42 fof(f2580,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2579,f728])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.064899 seconds
% 0.13/0.42 % CPU time: 0.255744 seconds
% 0.13/0.42 % Total memory used: 16.275 MB
% 0.13/0.42 % Net memory used: 16.167 MB
%------------------------------------------------------------------------------