%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LDA007-3 : 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 : n015.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 01:24:42 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LDA007-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % 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 01:19:36 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(f1,axiom,(
% 0.09/0.38 (![X,Y,Z]: (f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f2,axiom,(
% 0.09/0.38 tt = f(t,t) ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f3,axiom,(
% 0.09/0.38 ts = f(t,s) ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f4,axiom,(
% 0.09/0.38 tt_ts = f(tt,ts) ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f5,axiom,(
% 0.09/0.38 tk = f(t,k) ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f6,axiom,(
% 0.09/0.38 tsk = f(ts,k) ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f7,negated_conjecture,(
% 0.09/0.38 f(t,tsk) != f(tt_ts,tk) ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f8,plain,(
% 0.09/0.38 ![X0,X1,X2]: (f(X0,f(X1,X2))=f(f(X0,X1),f(X0,X2)))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.38 fof(f9,plain,(
% 0.09/0.38 tt=f(t,t)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.38 fof(f10,plain,(
% 0.09/0.38 ts=f(t,s)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.38 fof(f11,plain,(
% 0.09/0.38 tt_ts=f(tt,ts)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.38 fof(f12,plain,(
% 0.09/0.38 tk=f(t,k)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.38 fof(f13,plain,(
% 0.09/0.38 tsk=f(ts,k)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.38 fof(f14,plain,(
% 0.09/0.38 ~f(t,tsk)=f(tt_ts,tk)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.38 fof(f15,definition,(
% 0.09/0.38 sF0_fnc=f(t,tsk)),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.38 fof(f16,definition,(
% 0.09/0.38 sF1_fnc=f(tt_ts,tk)),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.09/0.38 fof(f17,plain,(
% 0.09/0.38 ~sF0_fnc=sF1_fnc),
% 0.09/0.38 inference(definition_folding,[],[f14,f16,f15])).
% 0.09/0.38 fof(f23,plain,(
% 0.09/0.38 ![X0]: (f(t,f(t,X0))=f(tt,f(t,X0)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f9,f8])).
% 0.09/0.38 fof(f27,plain,(
% 0.09/0.38 ![X0]: (f(t,f(X0,k))=f(f(t,X0),tk))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f12,f8])).
% 0.09/0.38 fof(f279,plain,(
% 0.09/0.38 f(t,f(t,s))=f(tt,ts)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f10,f23])).
% 0.09/0.38 fof(f299,plain,(
% 0.09/0.38 f(t,ts)=f(tt,ts)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f10,f279])).
% 0.09/0.38 fof(f300,plain,(
% 0.09/0.38 f(t,ts)=tt_ts),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f11,f299])).
% 0.09/0.38 fof(f308,plain,(
% 0.09/0.38 f(t,f(ts,k))=f(tt_ts,tk)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f300,f27])).
% 0.09/0.38 fof(f316,plain,(
% 0.09/0.38 f(t,tsk)=f(tt_ts,tk)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f13,f308])).
% 0.09/0.38 fof(f317,plain,(
% 0.09/0.38 sF1_fnc=sF0_fnc),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f318,f16])).
% 0.09/0.38 fof(f318,plain,(
% 0.09/0.38 sF0_fnc=f(tt_ts,tk)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f15,f316])).
% 0.09/0.38 fof(f322,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f317,f17])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.40 % Elapsed time: 0.031371 seconds
% 0.09/0.40 % CPU time: 0.097778 seconds
% 0.09/0.40 % Total memory used: 6.454 MB
% 0.09/0.40 % Net memory used: 6.435 MB
%------------------------------------------------------------------------------