%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LDA007-2 : TPTP v9.3.1. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 0.16s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LDA007-2 : TPTP v9.3.1. Bugfixed v2.6.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n006.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 01:16:13 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.49 % Refutation found
% 0.16/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.49 fof(f1,axiom,(
% 0.16/0.49 (![X,Y,Z]: (f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)) ))),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f10,axiom,(
% 0.16/0.49 tt = f(t,t) ),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f12,axiom,(
% 0.16/0.49 ts = f(t,s) ),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f13,axiom,(
% 0.16/0.49 tt_ts = f(tt,ts) ),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f16,axiom,(
% 0.16/0.49 tk = f(t,k) ),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f18,axiom,(
% 0.16/0.49 tsk = f(ts,k) ),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f20,negated_conjecture,(
% 0.16/0.49 f(t,tsk) != f(tt_ts,tk) ),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f21,plain,(
% 0.16/0.49 ![X0,X1,X2]: (f(X0,f(X1,X2))=f(f(X0,X1),f(X0,X2)))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/0.49 fof(f32,plain,(
% 0.16/0.49 tt=f(t,t)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f10])).
% 0.16/0.49 fof(f34,plain,(
% 0.16/0.49 ts=f(t,s)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f12])).
% 0.16/0.49 fof(f35,plain,(
% 0.16/0.49 tt_ts=f(tt,ts)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f13])).
% 0.16/0.49 fof(f38,plain,(
% 0.16/0.49 tk=f(t,k)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f16])).
% 0.16/0.49 fof(f40,plain,(
% 0.16/0.49 tsk=f(ts,k)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f18])).
% 0.16/0.49 fof(f42,plain,(
% 0.16/0.49 ~f(t,tsk)=f(tt_ts,tk)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f20])).
% 0.16/0.49 fof(f47,plain,(
% 0.16/0.49 ![X0]: (f(t,f(X0,k))=f(f(t,X0),tk))),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f38,f21])).
% 0.16/0.49 fof(f155,plain,(
% 0.16/0.49 ![X0]: (f(t,f(t,X0))=f(tt,f(t,X0)))),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f32,f21])).
% 0.16/0.49 fof(f358,plain,(
% 0.16/0.49 f(t,ts)=f(tt,f(t,s))),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f34,f155])).
% 0.16/0.49 fof(f370,plain,(
% 0.16/0.49 f(t,ts)=f(tt,ts)),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f34,f358])).
% 0.16/0.49 fof(f371,plain,(
% 0.16/0.49 f(t,ts)=tt_ts),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f35,f370])).
% 0.16/0.49 fof(f438,plain,(
% 0.16/0.49 f(t,f(ts,k))=f(tt_ts,tk)),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f371,f47])).
% 0.16/0.49 fof(f448,plain,(
% 0.16/0.49 f(t,tsk)=f(tt_ts,tk)),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f40,f438])).
% 0.16/0.49 fof(f449,plain,(
% 0.16/0.49 $false),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f448,f42])).
% 0.16/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.50 % Elapsed time: 0.067637 seconds
% 0.16/0.50 % CPU time: 0.225283 seconds
% 0.16/0.50 % Total memory used: 75.344 MB
% 0.16/0.50 % Net memory used: 75.181 MB
%------------------------------------------------------------------------------