%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN554-1 : 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 : n010.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 03:20:08 PM UTC 2026
% Result : Unsatisfiable 0.15s 10.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN554-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/10.38 % Computer : n010.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Mon Sep 21 11:08:38 UTC 2026
% 0.11/10.38 % CPUTime :
% 0.11/10.39 % Drodi V4.1.1
% 0.15/10.41 % Refutation found
% 0.15/10.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/10.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/10.41 fof(f1,negated_conjecture,(
% 0.15/10.41 (![X2]: (p2(X2,X2) ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f2,negated_conjecture,(
% 0.15/10.41 (![X15]: (~ p4(X15,X15) ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f3,negated_conjecture,(
% 0.15/10.41 ~ p2(c6,c7) ),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f4,negated_conjecture,(
% 0.15/10.41 p2(f3(c5,c6),f3(c5,c7)) ),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f5,negated_conjecture,(
% 0.15/10.41 (![X0,X1]: (( p2(X0,X1)| p4(X0,X1)| p4(X1,X0) ) ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f7,negated_conjecture,(
% 0.15/10.41 (![X13,X14]: (( p4(f3(c5,X13),f3(c5,X14))| ~ p4(X13,X14) ) ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f8,negated_conjecture,(
% 0.15/10.41 (![X9,X10,X12,X11]: (( p4(X9,X10)| ~ p2(X12,X10)| ~ p4(X11,X12)| ~ p2(X11,X9) ) ))),
% 0.15/10.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.41 fof(f10,plain,(
% 0.15/10.41 ![X0]: (p2(X0,X0))),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/10.41 fof(f11,plain,(
% 0.15/10.41 ![X0]: (~p4(X0,X0))),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/10.41 fof(f12,plain,(
% 0.15/10.41 ~p2(c6,c7)),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/10.41 fof(f13,plain,(
% 0.15/10.41 p2(f3(c5,c6),f3(c5,c7))),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/10.41 fof(f14,plain,(
% 0.15/10.41 ![X0,X1]: (p2(X0,X1)|p4(X0,X1)|p4(X1,X0))),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/10.41 fof(f17,plain,(
% 0.15/10.41 ![X0,X1]: (p4(f3(c5,X0),f3(c5,X1))|~p4(X0,X1))),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/10.41 fof(f18,plain,(
% 0.15/10.41 ![X9,X11]: ((![X12]: ((![X10]: (p4(X9,X10)|~p2(X12,X10)))|~p4(X11,X12)))|~p2(X11,X9))),
% 0.15/10.41 inference(miniscoping,[status(thm)],[f8])).
% 0.15/10.41 fof(f19,plain,(
% 0.15/10.41 ![X0,X1,X2,X3]: (p4(X0,X1)|~p2(X2,X1)|~p4(X3,X2)|~p2(X3,X0))),
% 0.15/10.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/10.41 fof(f34,plain,(
% 0.15/10.41 ![X0,X1,X2]: (~p2(X0,X1)|~p4(X2,X0)|~p2(X2,X1))),
% 0.15/10.41 inference(resolution,[status(thm)],[f19,f11])).
% 0.15/10.41 fof(f35,plain,(
% 0.15/10.41 ![X0]: (~p2(X0,f3(c5,c7))|~p4(f3(c5,c6),X0))),
% 0.15/10.41 inference(resolution,[status(thm)],[f34,f13])).
% 0.15/10.41 fof(f36,plain,(
% 0.15/10.41 ![X0,X1]: (~p2(X0,X1)|~p4(X1,X0))),
% 0.15/10.41 inference(resolution,[status(thm)],[f34,f10])).
% 0.15/10.41 fof(f37,plain,(
% 0.15/10.41 ~p4(f3(c5,c7),f3(c5,c6))),
% 0.15/10.41 inference(resolution,[status(thm)],[f36,f13])).
% 0.15/10.41 fof(f62,plain,(
% 0.15/10.41 ~p4(f3(c5,c6),f3(c5,c7))),
% 0.15/10.41 inference(resolution,[status(thm)],[f35,f10])).
% 0.15/10.41 fof(f76,plain,(
% 0.15/10.41 ~p4(c6,c7)),
% 0.15/10.41 inference(resolution,[status(thm)],[f17,f62])).
% 0.15/10.41 fof(f77,plain,(
% 0.15/10.41 ~p4(c7,c6)),
% 0.15/10.41 inference(resolution,[status(thm)],[f17,f37])).
% 0.15/10.41 fof(f83,plain,(
% 0.15/10.41 p2(c6,c7)|p4(c7,c6)),
% 0.15/10.41 inference(resolution,[status(thm)],[f76,f14])).
% 0.15/10.41 fof(f87,definition,(
% 0.15/10.41 sQ5_spl <=> (p4(c7,c6))),
% 0.15/10.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/10.41 fof(f88,plain,(
% 0.15/10.41 p4(c7,c6)|~sQ5_spl),
% 0.15/10.41 inference(component_clause,[status(thm)],[f87])).
% 0.15/10.41 fof(f91,definition,(
% 0.15/10.41 sQ6_spl <=> (p2(c6,c7))),
% 0.15/10.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/10.41 fof(f92,plain,(
% 0.15/10.41 p2(c6,c7)|~sQ6_spl),
% 0.15/10.41 inference(component_clause,[status(thm)],[f91])).
% 0.15/10.41 fof(f94,plain,(
% 0.15/10.41 sQ6_spl|sQ5_spl),
% 0.15/10.41 inference(split_clause,[status(thm)],[f83,f91,f87])).
% 0.15/10.41 fof(f95,plain,(
% 0.15/10.41 $false|~sQ5_spl),
% 0.15/10.41 inference(forward_subsumption_resolution,[status(thm)],[f88,f77])).
% 0.15/10.41 fof(f96,plain,(
% 0.15/10.41 ~sQ5_spl),
% 0.15/10.41 inference(contradiction_clause,[status(thm)],[f95])).
% 0.15/10.41 fof(f97,plain,(
% 0.15/10.41 $false|~sQ6_spl),
% 0.15/10.41 inference(forward_subsumption_resolution,[status(thm)],[f92,f12])).
% 0.15/10.41 fof(f98,plain,(
% 0.15/10.41 ~sQ6_spl),
% 0.15/10.41 inference(contradiction_clause,[status(thm)],[f97])).
% 0.15/10.41 fof(f99,plain,(
% 0.15/10.41 $false),
% 0.15/10.41 inference(sat_refutation,[status(thm)],[f94,f96,f98])).
% 0.15/10.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/10.43 % Elapsed time: 0.040758 seconds
% 0.15/10.43 % CPU time: 0.129499 seconds
% 0.15/10.43 % Total memory used: 14.299 MB
% 0.15/10.43 % Net memory used: 13.844 MB
%------------------------------------------------------------------------------