%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN580-1 : 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 : n018.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 03:20:11 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN580-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:10:59 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f2,negated_conjecture,(
% 0.13/0.39 (![X19]: (p7(X19,X19) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,negated_conjecture,(
% 0.13/0.39 (![X12]: (p4(X12,X12) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,negated_conjecture,(
% 0.13/0.39 (![X7]: (p2(X7,X7) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,negated_conjecture,(
% 0.13/0.39 p11(c15,c16) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,negated_conjecture,(
% 0.13/0.39 p9(c12,c13) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,negated_conjecture,(
% 0.13/0.39 p2(c14,f3(c15)) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,negated_conjecture,(
% 0.13/0.39 ~ p8(c12,c13,c14) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,negated_conjecture,(
% 0.13/0.39 (![X8,X9,X7]: (( p2(X8,X9)| ~ p2(X7,X8)| ~ p2(X7,X9) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,negated_conjecture,(
% 0.13/0.39 (![X28,X29]: (( p8(c12,X28,X29)| ~ p11(X29,c16)| ~ p9(c12,X28) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f18,negated_conjecture,(
% 0.13/0.39 (![X31,X30]: (( p9(c12,f6(X31))| p8(c12,X30,f3(X31))| ~ p9(c12,X30) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f22,negated_conjecture,(
% 0.13/0.39 (![X30,X31]: (( p8(c12,X30,f3(X31))| ~ p9(c12,X30)| ~ p8(c12,f6(X31),X31) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f23,negated_conjecture,(
% 0.13/0.39 (![X22,X23,X24,X25,X26,X27]: (( p8(X22,X23,X24)| ~ p2(X25,X24)| ~ p4(X26,X23)| ~ p7(X27,X22)| ~ p8(X27,X26,X25) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f25,plain,(
% 0.13/0.39 ![X0]: (p7(X0,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f26,plain,(
% 0.13/0.39 ![X0]: (p4(X0,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f27,plain,(
% 0.13/0.39 ![X0]: (p2(X0,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f28,plain,(
% 0.13/0.39 p11(c15,c16)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f29,plain,(
% 0.13/0.39 p9(c12,c13)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 p2(c14,f3(c15))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f31,plain,(
% 0.13/0.39 ~p8(c12,c13,c14)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 ![X9,X7]: ((![X8]: (p2(X8,X9)|~p2(X7,X8)))|~p2(X7,X9))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f15])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 ![X28]: ((![X29]: (p8(c12,X28,X29)|~p11(X29,c16)))|~p9(c12,X28))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f16])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 ![X0,X1]: (p8(c12,X0,X1)|~p11(X1,c16)|~p9(c12,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 ![X30]: ((![X31]: (p9(c12,f6(X31))|p8(c12,X30,f3(X31))))|~p9(c12,X30))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f18])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 ![X0,X1]: (p9(c12,f6(X0))|p8(c12,X1,f3(X0))|~p9(c12,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f47])).
% 0.13/0.39 fof(f55,plain,(
% 0.13/0.39 ![X31]: ((![X30]: (p8(c12,X30,f3(X31))|~p9(c12,X30)))|~p8(c12,f6(X31),X31))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f22])).
% 0.13/0.39 fof(f56,plain,(
% 0.13/0.39 ![X0,X1]: (p8(c12,X0,f3(X1))|~p9(c12,X0)|~p8(c12,f6(X1),X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f55])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 ![X25,X26,X27]: ((![X22]: ((![X23]: ((![X24]: (p8(X22,X23,X24)|~p2(X25,X24)))|~p4(X26,X23)))|~p7(X27,X22)))|~p8(X27,X26,X25))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f23])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5]: (p8(X0,X1,X2)|~p2(X3,X2)|~p4(X4,X1)|~p7(X5,X0)|~p8(X5,X4,X3))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f57])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 ![X0]: (p8(c12,X0,c15)|~p9(c12,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f44,f28])).
% 0.13/0.39 fof(f91,definition,(
% 0.13/0.39 sQ1_spl <=> (p9(c12,c13))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f93,plain,(
% 0.13/0.39 ~p9(c12,c13)|sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f91])).
% 0.13/0.39 fof(f101,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4]: (p8(X0,X1,X2)|~p2(X3,X2)|~p4(X4,X1)|~p8(X0,X4,X3))),
% 0.13/0.39 inference(resolution,[status(thm)],[f58,f25])).
% 0.13/0.39 fof(f106,plain,(
% 0.13/0.39 ![X0,X1]: (~p2(X0,c14)|~p4(X1,c13)|~p8(c12,X1,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f101,f31])).
% 0.13/0.39 fof(f108,plain,(
% 0.13/0.39 ![X0]: (~p2(X0,c14)|~p8(c12,c13,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f106,f26])).
% 0.13/0.39 fof(f109,plain,(
% 0.13/0.39 ![X0,X1]: (~p8(c12,c13,X0)|~p2(X1,X0)|~p2(X1,c14))),
% 0.13/0.39 inference(resolution,[status(thm)],[f108,f42])).
% 0.13/0.39 fof(f112,plain,(
% 0.13/0.39 ![X0]: (~p8(c12,c13,X0)|~p2(c14,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f109,f27])).
% 0.13/0.39 fof(f113,plain,(
% 0.13/0.39 ~p8(c12,c13,f3(c15))),
% 0.13/0.39 inference(resolution,[status(thm)],[f112,f30])).
% 0.13/0.39 fof(f116,plain,(
% 0.13/0.39 ~p9(c12,c13)|~p8(c12,f6(c15),c15)),
% 0.13/0.39 inference(resolution,[status(thm)],[f113,f56])).
% 0.13/0.39 fof(f117,plain,(
% 0.13/0.39 p9(c12,f6(c15))|~p9(c12,c13)),
% 0.13/0.39 inference(resolution,[status(thm)],[f113,f48])).
% 0.13/0.39 fof(f120,definition,(
% 0.13/0.39 sQ3_spl <=> (p8(c12,f6(c15),c15))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f122,plain,(
% 0.13/0.39 ~p8(c12,f6(c15),c15)|sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f120])).
% 0.13/0.39 fof(f123,plain,(
% 0.13/0.39 ~sQ1_spl|~sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f116,f91,f120])).
% 0.13/0.39 fof(f124,definition,(
% 0.13/0.39 sQ4_spl <=> (p9(c12,f6(c15)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f125,plain,(
% 0.13/0.39 p9(c12,f6(c15))|~sQ4_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f124])).
% 0.13/0.39 fof(f127,plain,(
% 0.13/0.39 sQ4_spl|~sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f117,f124,f91])).
% 0.13/0.39 fof(f132,plain,(
% 0.13/0.39 $false|sQ1_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f93,f29])).
% 0.13/0.39 fof(f133,plain,(
% 0.13/0.39 sQ1_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f132])).
% 0.13/0.39 fof(f139,plain,(
% 0.13/0.39 ~p9(c12,f6(c15))|sQ3_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f122,f59])).
% 0.13/0.39 fof(f142,plain,(
% 0.13/0.39 $false|~sQ4_spl|sQ3_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f139,f125])).
% 0.13/0.39 fof(f143,plain,(
% 0.13/0.39 ~sQ4_spl|sQ3_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f142])).
% 0.13/0.39 fof(f144,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f123,f127,f133,f143])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.044582 seconds
% 0.13/0.41 % CPU time: 0.130018 seconds
% 0.13/0.41 % Total memory used: 17.746 MB
% 0.13/0.41 % Net memory used: 17.386 MB
%------------------------------------------------------------------------------