%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN620-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 03:20:15 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN620-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 11:11:03 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f1,negated_conjecture,(
% 0.15/0.40 (![X0]: (p10(X0,X0) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f5,negated_conjecture,(
% 0.15/0.40 (![X20]: (p11(X20,X20) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f18,negated_conjecture,(
% 0.15/0.40 (![X23,X24]: (( p11(f12(X23),f12(X24))| ~ p10(X23,X24) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f19,negated_conjecture,(
% 0.15/0.40 (![X1,X2,X0]: (( p10(X1,X2)| ~ p10(X0,X1)| ~ p10(X0,X2) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f24,negated_conjecture,(
% 0.15/0.40 (![X9]: (p10(f13(f6(c22),X9),f13(f6(c24),f16(c26,X9))) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f28,negated_conjecture,(
% 0.15/0.40 (![X36,X37,X39,X38]: (( p20(X36,X37)| ~ p11(X39,X37)| ~ p20(X38,X39)| ~ p11(X38,X36) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f32,negated_conjecture,(
% 0.15/0.40 (![X40]: (p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X40))) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f33,negated_conjecture,(
% 0.15/0.40 ~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f35,plain,(
% 0.15/0.40 ![X0]: (p10(X0,X0))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.40 fof(f39,plain,(
% 0.15/0.40 ![X0]: (p11(X0,X0))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.40 fof(f52,plain,(
% 0.15/0.40 ![X0,X1]: (p11(f12(X0),f12(X1))|~p10(X0,X1))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/0.40 fof(f53,plain,(
% 0.15/0.40 ![X2,X0]: ((![X1]: (p10(X1,X2)|~p10(X0,X1)))|~p10(X0,X2))),
% 0.15/0.40 inference(miniscoping,[status(thm)],[f19])).
% 0.15/0.40 fof(f54,plain,(
% 0.15/0.40 ![X0,X1,X2]: (p10(X0,X1)|~p10(X2,X0)|~p10(X2,X1))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f53])).
% 0.15/0.40 fof(f63,plain,(
% 0.15/0.40 ![X0]: (p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.15/0.40 fof(f69,plain,(
% 0.15/0.40 ![X36,X38]: ((![X39]: ((![X37]: (p20(X36,X37)|~p11(X39,X37)))|~p20(X38,X39)))|~p11(X38,X36))),
% 0.15/0.40 inference(miniscoping,[status(thm)],[f28])).
% 0.15/0.40 fof(f70,plain,(
% 0.15/0.40 ![X0,X1,X2,X3]: (p20(X0,X1)|~p11(X2,X1)|~p20(X3,X2)|~p11(X3,X0))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f69])).
% 0.15/0.40 fof(f77,plain,(
% 0.15/0.40 ![X0]: (p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X0))))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.15/0.40 fof(f78,plain,(
% 0.15/0.40 ~p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27)))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.15/0.40 fof(f81,plain,(
% 0.15/0.40 ![X0,X1,X2]: (p20(X0,X1)|~p11(f12(f13(f6(c24),X2)),X1)|~p11(f12(f13(f6(c22),f14(f15(f7(c25))))),X0))),
% 0.15/0.40 inference(resolution,[status(thm)],[f77,f70])).
% 0.15/0.40 fof(f85,plain,(
% 0.15/0.40 ![X0]: (~p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27)))|~p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))))),
% 0.15/0.40 inference(resolution,[status(thm)],[f81,f78])).
% 0.15/0.40 fof(f87,definition,(
% 0.15/0.40 ![X0]: (sQ0_spl <=> (~p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27)))))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f88,plain,(
% 0.15/0.40 ![X0]: (~p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27)))|~sQ0_spl)),
% 0.15/0.40 inference(component_clause,[status(thm)],[f87])).
% 0.15/0.40 fof(f90,definition,(
% 0.15/0.40 sQ1_spl <=> (p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f92,plain,(
% 0.15/0.40 ~p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25))))))|sQ1_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f90])).
% 0.15/0.40 fof(f93,plain,(
% 0.15/0.40 sQ0_spl|~sQ1_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f85,f87,f90])).
% 0.15/0.40 fof(f94,plain,(
% 0.15/0.40 ![X0]: (~p10(f13(f6(c24),X0),f13(f6(c22),c27))|~sQ0_spl)),
% 0.15/0.40 inference(resolution,[status(thm)],[f88,f52])).
% 0.15/0.40 fof(f97,plain,(
% 0.15/0.40 ![X0,X1]: (~p10(X0,f13(f6(c24),X1))|~p10(X0,f13(f6(c22),c27))|~sQ0_spl)),
% 0.15/0.40 inference(resolution,[status(thm)],[f94,f54])).
% 0.15/0.40 fof(f105,plain,(
% 0.15/0.40 $false|sQ1_spl),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f92,f39])).
% 0.15/0.41 fof(f106,plain,(
% 0.15/0.41 sQ1_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f105])).
% 0.15/0.41 fof(f167,plain,(
% 0.15/0.41 ![X0]: (~p10(f13(f6(c22),c27),f13(f6(c24),X0))|~sQ0_spl)),
% 0.15/0.41 inference(resolution,[status(thm)],[f97,f35])).
% 0.15/0.41 fof(f168,plain,(
% 0.15/0.41 $false|~sQ0_spl),
% 0.15/0.41 inference(resolution,[status(thm)],[f167,f63])).
% 0.15/0.41 fof(f171,plain,(
% 0.15/0.41 ~sQ0_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f168])).
% 0.15/0.41 fof(f172,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(sat_refutation,[status(thm)],[f93,f106,f171])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.048394 seconds
% 0.15/0.44 % CPU time: 0.125969 seconds
% 0.15/0.44 % Total memory used: 18.028 MB
% 0.15/0.44 % Net memory used: 17.820 MB
%------------------------------------------------------------------------------