%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN034-1 : 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 : n005.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 0.03s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN034-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.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 10:39:18 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.37 % Drodi V4.1.1
% 0.03/0.38 % Refutation found
% 0.03/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.38 fof(f1,axiom,(
% 0.03/0.38 (![A]: (( p(A,a)| p(A,f(A)) ) ))),
% 0.03/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.38 fof(f2,axiom,(
% 0.03/0.38 (![A]: (( p(A,a)| p(f(A),A) ) ))),
% 0.03/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.38 fof(f3,negated_conjecture,(
% 0.03/0.38 (![A,B]: (( ~ p(A,B)| ~ p(B,A)| ~ p(B,a) ) ))),
% 0.03/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.38 fof(f4,plain,(
% 0.03/0.38 ![X0]: (p(X0,a)|p(X0,f(X0)))),
% 0.03/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.03/0.38 fof(f5,plain,(
% 0.03/0.38 ![X0]: (p(X0,a)|p(f(X0),X0))),
% 0.03/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.03/0.38 fof(f6,plain,(
% 0.03/0.38 ![B]: ((![A]: (~p(A,B)|~p(B,A)))|~p(B,a))),
% 0.03/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.03/0.38 fof(f7,plain,(
% 0.03/0.38 ![X0,X1]: (~p(X0,X1)|~p(X1,X0)|~p(X1,a))),
% 0.03/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.03/0.38 fof(f8,plain,(
% 0.03/0.38 ![X0]: (p(a,a)|~p(X0,f(a))|~p(f(a),X0))),
% 0.03/0.38 inference(resolution,[status(thm)],[f5,f7])).
% 0.03/0.38 fof(f9,definition,(
% 0.03/0.38 sQ0_spl <=> (p(a,a))),
% 0.03/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.03/0.38 fof(f10,plain,(
% 0.03/0.38 p(a,a)|~sQ0_spl),
% 0.03/0.38 inference(component_clause,[status(thm)],[f9])).
% 0.03/0.38 fof(f12,definition,(
% 0.03/0.38 ![X0]: (sQ1_spl <=> (~p(X0,f(a))|~p(f(a),X0)))),
% 0.03/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.03/0.38 fof(f13,plain,(
% 0.03/0.38 ![X0]: (~p(X0,f(a))|~p(f(a),X0)|~sQ1_spl)),
% 0.03/0.38 inference(component_clause,[status(thm)],[f12])).
% 0.03/0.38 fof(f15,plain,(
% 0.03/0.38 sQ0_spl|sQ1_spl),
% 0.03/0.38 inference(split_clause,[status(thm)],[f8,f9,f12])).
% 0.03/0.38 fof(f16,plain,(
% 0.03/0.38 ![X0]: (~p(X0,a)|~p(a,X0)|~sQ0_spl)),
% 0.03/0.38 inference(resolution,[status(thm)],[f10,f7])).
% 0.03/0.38 fof(f17,plain,(
% 0.03/0.38 ~p(a,a)|~sQ0_spl),
% 0.03/0.38 inference(resolution,[status(thm)],[f16,f10])).
% 0.03/0.38 fof(f19,plain,(
% 0.03/0.38 $false|~sQ0_spl),
% 0.03/0.38 inference(forward_subsumption_resolution,[status(thm)],[f17,f10])).
% 0.03/0.38 fof(f20,plain,(
% 0.03/0.38 ~sQ0_spl),
% 0.03/0.38 inference(contradiction_clause,[status(thm)],[f19])).
% 0.03/0.38 fof(f21,plain,(
% 0.03/0.38 ~p(a,f(a))|p(a,a)|~sQ1_spl),
% 0.03/0.38 inference(resolution,[status(thm)],[f13,f5])).
% 0.03/0.38 fof(f23,definition,(
% 0.03/0.38 sQ2_spl <=> (p(a,f(a)))),
% 0.03/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.03/0.38 fof(f25,plain,(
% 0.03/0.38 ~p(a,f(a))|sQ2_spl),
% 0.03/0.38 inference(component_clause,[status(thm)],[f23])).
% 0.03/0.38 fof(f26,plain,(
% 0.03/0.38 ~sQ2_spl|sQ0_spl|~sQ1_spl),
% 0.03/0.38 inference(split_clause,[status(thm)],[f21,f23,f9,f12])).
% 0.03/0.38 fof(f34,plain,(
% 0.03/0.38 p(a,a)|sQ2_spl),
% 0.03/0.38 inference(resolution,[status(thm)],[f25,f4])).
% 0.03/0.38 fof(f35,plain,(
% 0.03/0.38 sQ0_spl|sQ2_spl),
% 0.03/0.38 inference(split_clause,[status(thm)],[f34,f9,f23])).
% 0.03/0.38 fof(f36,plain,(
% 0.03/0.38 $false),
% 0.03/0.38 inference(sat_refutation,[status(thm)],[f15,f20,f26,f35])).
% 0.03/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.40 % Elapsed time: 0.032814 seconds
% 0.03/0.40 % CPU time: 0.079065 seconds
% 0.03/0.40 % Total memory used: 8.217 MB
% 0.03/0.40 % Net memory used: 7.942 MB
%------------------------------------------------------------------------------