%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN071+1 : TPTP v9.3.1. Released v2.0.0.
% 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 03:18:53 PM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN071+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n001.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 10:47:59 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.48 fof(f1,axiom,(
% 0.16/0.48 ( a = b| c = d ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f2,axiom,(
% 0.16/0.48 ( a = c| b = d ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f3,conjecture,(
% 0.16/0.48 ( a = d| b = c ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f4,negated_conjecture,(
% 0.16/0.48 ~(( a = d| b = c ) )),
% 0.16/0.48 inference(negated_conjecture,[status(cth)],[f3])).
% 0.16/0.48 fof(f5,plain,(
% 0.16/0.48 a=b|c=d),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/0.48 fof(f6,plain,(
% 0.16/0.48 a=c|b=d),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.48 fof(f7,plain,(
% 0.16/0.48 (~a=d&~b=c)),
% 0.16/0.48 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.16/0.48 fof(f8,plain,(
% 0.16/0.48 ~a=d),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/0.48 fof(f9,plain,(
% 0.16/0.48 ~b=c),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/0.48 fof(f10,definition,(
% 0.16/0.48 sQ0_spl <=> (a=b)),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f11,plain,(
% 0.16/0.48 a=b|~sQ0_spl),
% 0.16/0.48 inference(component_clause,[status(thm)],[f10])).
% 0.16/0.48 fof(f13,definition,(
% 0.16/0.48 sQ1_spl <=> (c=d)),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f14,plain,(
% 0.16/0.48 c=d|~sQ1_spl),
% 0.16/0.48 inference(component_clause,[status(thm)],[f13])).
% 0.16/0.48 fof(f16,plain,(
% 0.16/0.48 sQ0_spl|sQ1_spl),
% 0.16/0.48 inference(split_clause,[status(thm)],[f5,f10,f13])).
% 0.16/0.48 fof(f17,definition,(
% 0.16/0.48 sQ2_spl <=> (a=c)),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f18,plain,(
% 0.16/0.48 a=c|~sQ2_spl),
% 0.16/0.48 inference(component_clause,[status(thm)],[f17])).
% 0.16/0.48 fof(f20,definition,(
% 0.16/0.48 sQ3_spl <=> (b=d)),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f21,plain,(
% 0.16/0.48 b=d|~sQ3_spl),
% 0.16/0.48 inference(component_clause,[status(thm)],[f20])).
% 0.16/0.48 fof(f23,plain,(
% 0.16/0.48 sQ2_spl|sQ3_spl),
% 0.16/0.48 inference(split_clause,[status(thm)],[f6,f17,f20])).
% 0.16/0.48 fof(f24,plain,(
% 0.16/0.48 ~b=a|~sQ2_spl),
% 0.16/0.48 inference(backward_demodulation,[status(thm)],[f18,f9])).
% 0.16/0.48 fof(f25,plain,(
% 0.16/0.48 ~a=a|~sQ0_spl|~sQ2_spl),
% 0.16/0.48 inference(forward_demodulation,[status(thm)],[f11,f24])).
% 0.16/0.48 fof(f26,plain,(
% 0.16/0.48 $false|~sQ0_spl|~sQ2_spl),
% 0.16/0.48 inference(trivial_equality_resolution,[status(thm)],[f25])).
% 0.16/0.48 fof(f27,plain,(
% 0.16/0.48 ~sQ0_spl|~sQ2_spl),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f26])).
% 0.16/0.48 fof(f28,plain,(
% 0.16/0.48 ~a=c|~sQ1_spl),
% 0.16/0.48 inference(backward_demodulation,[status(thm)],[f14,f8])).
% 0.16/0.48 fof(f29,plain,(
% 0.16/0.48 c=b|~sQ3_spl|~sQ1_spl),
% 0.16/0.48 inference(backward_demodulation,[status(thm)],[f21,f14])).
% 0.16/0.48 fof(f30,plain,(
% 0.16/0.48 $false|~sQ3_spl|~sQ1_spl),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f29,f9])).
% 0.16/0.48 fof(f31,plain,(
% 0.16/0.48 ~sQ3_spl|~sQ1_spl),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f30])).
% 0.16/0.48 fof(f33,plain,(
% 0.16/0.48 $false|~sQ1_spl|~sQ2_spl),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f18,f28])).
% 0.16/0.48 fof(f34,plain,(
% 0.16/0.48 ~sQ1_spl|~sQ2_spl),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f33])).
% 0.16/0.48 fof(f36,plain,(
% 0.16/0.48 a=d|~sQ0_spl|~sQ3_spl),
% 0.16/0.48 inference(forward_demodulation,[status(thm)],[f11,f21])).
% 0.16/0.48 fof(f37,plain,(
% 0.16/0.48 $false|~sQ0_spl|~sQ3_spl),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f36,f8])).
% 0.16/0.48 fof(f38,plain,(
% 0.16/0.48 ~sQ0_spl|~sQ3_spl),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f37])).
% 0.16/0.48 fof(f39,plain,(
% 0.16/0.48 $false),
% 0.16/0.48 inference(sat_refutation,[status(thm)],[f16,f23,f27,f31,f34,f38])).
% 0.16/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.51 % Elapsed time: 0.073303 seconds
% 0.23/0.51 % CPU time: 0.187065 seconds
% 0.23/0.51 % Total memory used: 79.546 MB
% 0.23/0.51 % Net memory used: 78.945 MB
%------------------------------------------------------------------------------