%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN031-1 : 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 : n013.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 03:18:44 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN031-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 10:39:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,axiom,(
% 0.10/0.39 (![A]: (( g(A,a)| g(f(A),A) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,axiom,(
% 0.10/0.39 (![A]: (( g(A,a)| g(A,f(A)) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f5,negated_conjecture,(
% 0.10/0.39 (![A,B]: (( ~ g(A,B)| ~ g(B,a) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f6,plain,(
% 0.10/0.39 ![X0]: (g(X0,a)|g(f(X0),X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.39 fof(f7,plain,(
% 0.10/0.39 ![X0]: (g(X0,a)|g(X0,f(X0)))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.39 fof(f12,plain,(
% 0.10/0.39 ![B]: ((![A]: ~g(A,B))|~g(B,a))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f5])).
% 0.10/0.39 fof(f13,plain,(
% 0.10/0.39 ![X0,X1]: (~g(X0,X1)|~g(X1,a))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.39 fof(f14,plain,(
% 0.10/0.39 ![X0]: (g(a,a)|~g(X0,f(a)))),
% 0.10/0.39 inference(resolution,[status(thm)],[f6,f13])).
% 0.10/0.39 fof(f15,definition,(
% 0.10/0.39 sQ0_spl <=> (g(a,a))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f16,plain,(
% 0.10/0.39 g(a,a)|~sQ0_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f15])).
% 0.10/0.39 fof(f18,definition,(
% 0.10/0.39 ![X0]: (sQ1_spl <=> (~g(X0,f(a))))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f19,plain,(
% 0.10/0.39 ![X0]: (~g(X0,f(a))|~sQ1_spl)),
% 0.10/0.39 inference(component_clause,[status(thm)],[f18])).
% 0.10/0.39 fof(f21,plain,(
% 0.10/0.39 sQ0_spl|sQ1_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f14,f15,f18])).
% 0.10/0.39 fof(f22,plain,(
% 0.10/0.39 ![X0]: (~g(X0,a)|~sQ0_spl)),
% 0.10/0.39 inference(resolution,[status(thm)],[f16,f13])).
% 0.10/0.39 fof(f24,plain,(
% 0.10/0.39 $false|~sQ0_spl),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f16,f22])).
% 0.10/0.39 fof(f25,plain,(
% 0.10/0.39 ~sQ0_spl),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f24])).
% 0.10/0.39 fof(f26,plain,(
% 0.10/0.39 g(a,a)|~sQ1_spl),
% 0.10/0.39 inference(resolution,[status(thm)],[f7,f19])).
% 0.10/0.39 fof(f27,plain,(
% 0.10/0.39 sQ0_spl|~sQ1_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f26,f15,f18])).
% 0.10/0.39 fof(f28,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(sat_refutation,[status(thm)],[f21,f25,f27])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.041183 seconds
% 0.10/0.43 % CPU time: 0.111514 seconds
% 0.10/0.43 % Total memory used: 16.478 MB
% 0.10/0.43 % Net memory used: 15.857 MB
%------------------------------------------------------------------------------