%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN084-2 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 03:18:55 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN084-2 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n011.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 10:43:10 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,negated_conjecture,(
% 0.13/0.37 big_p(a) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f2,negated_conjecture,(
% 0.13/0.37 (![A]: (( big_p(f(f(A)))| big_p(A)| ~ big_p(a) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f3,negated_conjecture,(
% 0.13/0.37 (![A]: (( big_p(f(f(A)))| ~ big_p(f(A))| ~ big_p(a) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,negated_conjecture,(
% 0.13/0.37 ( ~ big_p(f(f(sk1)))| ~ big_p(f(f(sk2))) ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,negated_conjecture,(
% 0.13/0.37 ( big_p(f(sk1))| big_p(f(sk2))| ~ big_p(sk1)| ~ big_p(sk2) ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f6,negated_conjecture,(
% 0.13/0.37 ( big_p(f(sk1))| ~ big_p(sk1)| ~ big_p(f(f(sk2))) ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f7,negated_conjecture,(
% 0.13/0.37 ( big_p(f(sk2))| ~ big_p(sk2)| ~ big_p(f(f(sk1))) ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f8,plain,(
% 0.13/0.37 big_p(a)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.37 fof(f9,plain,(
% 0.13/0.37 (![A]: (big_p(f(f(A)))|big_p(A)))|~big_p(a)),
% 0.13/0.37 inference(miniscoping,[status(thm)],[f2])).
% 0.13/0.37 fof(f10,plain,(
% 0.13/0.37 ![X0]: (big_p(f(f(X0)))|big_p(X0)|~big_p(a))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.37 fof(f11,plain,(
% 0.13/0.37 (![A]: (big_p(f(f(A)))|~big_p(f(A))))|~big_p(a)),
% 0.13/0.37 inference(miniscoping,[status(thm)],[f3])).
% 0.13/0.37 fof(f12,plain,(
% 0.13/0.37 ![X0]: (big_p(f(f(X0)))|~big_p(f(X0))|~big_p(a))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.37 fof(f13,plain,(
% 0.13/0.37 ~big_p(f(f(sk1)))|~big_p(f(f(sk2)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.37 fof(f14,plain,(
% 0.13/0.37 big_p(f(sk1))|big_p(f(sk2))|~big_p(sk1)|~big_p(sk2)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.37 fof(f15,plain,(
% 0.13/0.37 big_p(f(sk1))|~big_p(sk1)|~big_p(f(f(sk2)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.37 fof(f16,plain,(
% 0.13/0.37 big_p(f(sk2))|~big_p(sk2)|~big_p(f(f(sk1)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.37 fof(f17,definition,(
% 0.13/0.37 ![X0]: (sQ0_spl <=> (big_p(f(f(X0)))|big_p(X0)))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f18,plain,(
% 0.13/0.37 ![X0]: (big_p(f(f(X0)))|big_p(X0)|~sQ0_spl)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f17])).
% 0.13/0.37 fof(f20,definition,(
% 0.13/0.37 sQ1_spl <=> (big_p(a))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f22,plain,(
% 0.13/0.37 ~big_p(a)|sQ1_spl),
% 0.13/0.37 inference(component_clause,[status(thm)],[f20])).
% 0.13/0.37 fof(f23,plain,(
% 0.13/0.37 sQ0_spl|~sQ1_spl),
% 0.13/0.37 inference(split_clause,[status(thm)],[f10,f17,f20])).
% 0.13/0.37 fof(f24,definition,(
% 0.13/0.37 ![X0]: (sQ2_spl <=> (big_p(f(f(X0)))|~big_p(f(X0))))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f25,plain,(
% 0.13/0.37 ![X0]: (big_p(f(f(X0)))|~big_p(f(X0))|~sQ2_spl)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f24])).
% 0.13/0.37 fof(f27,plain,(
% 0.13/0.37 sQ2_spl|~sQ1_spl),
% 0.13/0.37 inference(split_clause,[status(thm)],[f12,f24,f20])).
% 0.13/0.37 fof(f28,definition,(
% 0.13/0.37 sQ3_spl <=> (big_p(f(f(sk1))))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f30,plain,(
% 0.13/0.37 ~big_p(f(f(sk1)))|sQ3_spl),
% 0.13/0.37 inference(component_clause,[status(thm)],[f28])).
% 0.13/0.37 fof(f31,definition,(
% 0.13/0.37 sQ4_spl <=> (big_p(f(f(sk2))))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f33,plain,(
% 0.13/0.37 ~big_p(f(f(sk2)))|sQ4_spl),
% 0.13/0.37 inference(component_clause,[status(thm)],[f31])).
% 0.13/0.37 fof(f34,plain,(
% 0.13/0.37 ~sQ3_spl|~sQ4_spl),
% 0.13/0.37 inference(split_clause,[status(thm)],[f13,f28,f31])).
% 0.13/0.37 fof(f35,definition,(
% 0.13/0.37 sQ5_spl <=> (big_p(f(sk1)))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f36,plain,(
% 0.13/0.37 big_p(f(sk1))|~sQ5_spl),
% 0.13/0.37 inference(component_clause,[status(thm)],[f35])).
% 0.13/0.37 fof(f38,definition,(
% 0.13/0.37 sQ6_spl <=> (big_p(f(sk2)))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f39,plain,(
% 0.13/0.37 big_p(f(sk2))|~sQ6_spl),
% 0.13/0.37 inference(component_clause,[status(thm)],[f38])).
% 0.13/0.37 fof(f41,definition,(
% 0.13/0.37 sQ7_spl <=> (big_p(sk1))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f43,plain,(
% 0.13/0.37 ~big_p(sk1)|sQ7_spl),
% 0.13/0.37 inference(component_clause,[status(thm)],[f41])).
% 0.13/0.37 fof(f44,definition,(
% 0.13/0.37 sQ8_spl <=> (big_p(sk2))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f46,plain,(
% 0.13/0.37 ~big_p(sk2)|sQ8_spl),
% 0.13/0.37 inference(component_clause,[status(thm)],[f44])).
% 0.13/0.37 fof(f47,plain,(
% 0.13/0.37 sQ5_spl|sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.37 inference(split_clause,[status(thm)],[f14,f35,f38,f41,f44])).
% 0.13/0.37 fof(f48,plain,(
% 0.13/0.37 sQ5_spl|~sQ7_spl|~sQ4_spl),
% 0.13/0.37 inference(split_clause,[status(thm)],[f15,f35,f41,f31])).
% 0.13/0.37 fof(f49,plain,(
% 0.13/0.37 sQ6_spl|~sQ8_spl|~sQ3_spl),
% 0.13/0.37 inference(split_clause,[status(thm)],[f16,f38,f44,f28])).
% 0.13/0.37 fof(f50,plain,(
% 0.13/0.37 $false|sQ1_spl),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f22,f8])).
% 0.13/0.37 fof(f51,plain,(
% 0.13/0.37 sQ1_spl),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f50])).
% 0.13/0.37 fof(f52,plain,(
% 0.13/0.37 big_p(sk2)|~sQ0_spl|sQ4_spl),
% 0.13/0.37 inference(resolution,[status(thm)],[f18,f33])).
% 0.13/0.37 fof(f53,plain,(
% 0.13/0.37 big_p(sk1)|~sQ0_spl|sQ3_spl),
% 0.13/0.37 inference(resolution,[status(thm)],[f18,f30])).
% 0.13/0.37 fof(f54,plain,(
% 0.13/0.37 $false|sQ8_spl|~sQ0_spl|sQ4_spl),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f52,f46])).
% 0.13/0.37 fof(f55,plain,(
% 0.13/0.37 sQ8_spl|~sQ0_spl|sQ4_spl),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f54])).
% 0.13/0.37 fof(f56,plain,(
% 0.13/0.37 $false|~sQ0_spl|sQ3_spl|sQ7_spl),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f43,f53])).
% 0.13/0.37 fof(f57,plain,(
% 0.13/0.37 ~sQ0_spl|sQ3_spl|sQ7_spl),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f56])).
% 0.13/0.37 fof(f58,plain,(
% 0.13/0.37 ~big_p(f(sk2))|sQ4_spl|~sQ2_spl),
% 0.13/0.37 inference(resolution,[status(thm)],[f33,f25])).
% 0.13/0.37 fof(f60,plain,(
% 0.13/0.37 $false|~sQ6_spl|sQ4_spl|~sQ2_spl),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f58,f39])).
% 0.13/0.37 fof(f61,plain,(
% 0.13/0.37 ~sQ6_spl|sQ4_spl|~sQ2_spl),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f60])).
% 0.13/0.37 fof(f62,plain,(
% 0.13/0.37 ~big_p(f(sk1))|sQ3_spl|~sQ2_spl),
% 0.13/0.37 inference(resolution,[status(thm)],[f30,f25])).
% 0.13/0.37 fof(f64,plain,(
% 0.13/0.37 $false|~sQ5_spl|sQ3_spl|~sQ2_spl),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f62,f36])).
% 0.13/0.37 fof(f65,plain,(
% 0.13/0.37 ~sQ5_spl|sQ3_spl|~sQ2_spl),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f64])).
% 0.13/0.37 fof(f66,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f23,f27,f34,f47,f48,f49,f51,f55,f57,f61,f65])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.040798 seconds
% 0.13/0.40 % CPU time: 0.101896 seconds
% 0.13/0.40 % Total memory used: 16.584 MB
% 0.13/0.40 % Net memory used: 16.105 MB
%------------------------------------------------------------------------------