%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN079-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 03:18:54 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN079-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n001.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 10:48:14 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.47 fof(f1,axiom,(
% 0.16/0.47 big_f(f(a,b),f(b,c)) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f2,axiom,(
% 0.16/0.47 big_f(f(b,c),f(a,c)) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f3,axiom,(
% 0.16/0.47 (![X,Y,Z]: (( ~ big_f(X,Y)| ~ big_f(Y,Z)| big_f(X,Z) ) ))),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f4,negated_conjecture,(
% 0.16/0.47 ~ big_f(f(a,b),f(a,c)) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f5,plain,(
% 0.16/0.47 big_f(f(a,b),f(b,c))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/0.47 fof(f6,plain,(
% 0.16/0.47 big_f(f(b,c),f(a,c))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.47 fof(f7,plain,(
% 0.16/0.47 ![X,Z]: ((![Y]: (~big_f(X,Y)|~big_f(Y,Z)))|big_f(X,Z))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f3])).
% 0.16/0.47 fof(f8,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~big_f(X0,X1)|~big_f(X1,X2)|big_f(X0,X2))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/0.47 fof(f9,plain,(
% 0.16/0.47 ~big_f(f(a,b),f(a,c))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/0.47 fof(f11,plain,(
% 0.16/0.47 ![X0]: (~big_f(X0,f(b,c))|big_f(X0,f(a,c)))),
% 0.16/0.47 inference(resolution,[status(thm)],[f6,f8])).
% 0.16/0.47 fof(f12,plain,(
% 0.16/0.47 big_f(f(a,b),f(a,c))),
% 0.16/0.47 inference(resolution,[status(thm)],[f11,f5])).
% 0.16/0.47 fof(f13,plain,(
% 0.16/0.47 $false),
% 0.16/0.47 inference(forward_subsumption_resolution,[status(thm)],[f12,f9])).
% 0.16/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.31/0.51 % Elapsed time: 0.070583 seconds
% 0.31/0.51 % CPU time: 0.181349 seconds
% 0.31/0.51 % Total memory used: 55.233 MB
% 0.31/0.51 % Net memory used: 54.620 MB
%------------------------------------------------------------------------------