%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN568-1 : 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 : n008.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 03:20:09 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN568-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n008.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 11:09:25 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f3,negated_conjecture,(
% 0.12/0.37 ~ p11(f9(c13),f9(c14)) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f4,negated_conjecture,(
% 0.12/0.37 (![X16]: (p11(f5(f6(c12)),f9(X16)) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f5,negated_conjecture,(
% 0.12/0.37 (![X4,X5]: (( p10(X4,X5)| p11(X5,X4) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f6,negated_conjecture,(
% 0.12/0.37 (![X4,X5]: (( ~ p10(X4,X5)| ~ p11(X5,X4) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f7,negated_conjecture,(
% 0.12/0.37 ~ p3(f6(f7(f8(c12))),f6(c12)) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f18,negated_conjecture,(
% 0.12/0.37 p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f20,negated_conjecture,(
% 0.12/0.37 (![X7,X6,X8]: (( p3(X7,f6(c12))| p10(f4(X6,X7),f4(X8,X7))| ~ p10(X6,X8)| ~ p11(f5(f6(c12)),X6) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f23,plain,(
% 0.12/0.37 ~p11(f9(c13),f9(c14))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.37 fof(f24,plain,(
% 0.12/0.37 ![X0]: (p11(f5(f6(c12)),f9(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.37 fof(f25,plain,(
% 0.12/0.37 ![X0,X1]: (p10(X0,X1)|p11(X1,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.37 fof(f26,plain,(
% 0.12/0.37 ![X0,X1]: (~p10(X0,X1)|~p11(X1,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f27,plain,(
% 0.12/0.37 ~p3(f6(f7(f8(c12))),f6(c12))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.37 fof(f43,plain,(
% 0.12/0.37 p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12)))))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.37 fof(f46,plain,(
% 0.12/0.37 ![X6]: ((![X8]: ((![X7]: (p3(X7,f6(c12))|p10(f4(X6,X7),f4(X8,X7))))|~p10(X6,X8)))|~p11(f5(f6(c12)),X6))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f20])).
% 0.12/0.37 fof(f47,plain,(
% 0.12/0.37 ![X0,X1,X2]: (p3(X0,f6(c12))|p10(f4(X1,X0),f4(X2,X0))|~p10(X1,X2)|~p11(f5(f6(c12)),X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f46])).
% 0.12/0.37 fof(f75,plain,(
% 0.12/0.37 ![X0,X1,X2]: (p3(X0,f6(c12))|p10(f4(X1,X0),f4(X2,X0))|~p11(f5(f6(c12)),X1)|p11(X2,X1))),
% 0.12/0.37 inference(resolution,[status(thm)],[f47,f25])).
% 0.12/0.37 fof(f76,plain,(
% 0.12/0.37 ![X0,X1,X2]: (p3(X0,f6(c12))|p10(f4(f9(X1),X0),f4(X2,X0))|p11(X2,f9(X1)))),
% 0.12/0.37 inference(resolution,[status(thm)],[f75,f24])).
% 0.12/0.37 fof(f78,plain,(
% 0.12/0.37 ![X0,X1,X2]: (p3(X0,f6(c12))|p11(X1,f9(X2))|~p11(f4(X1,X0),f4(f9(X2),X0)))),
% 0.12/0.37 inference(resolution,[status(thm)],[f76,f26])).
% 0.12/0.37 fof(f79,plain,(
% 0.12/0.37 p3(f6(f7(f8(c12))),f6(c12))|p11(f9(c13),f9(c14))),
% 0.12/0.37 inference(resolution,[status(thm)],[f78,f43])).
% 0.12/0.37 fof(f80,definition,(
% 0.12/0.37 sQ4_spl <=> (p3(f6(f7(f8(c12))),f6(c12)))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f81,plain,(
% 0.12/0.37 p3(f6(f7(f8(c12))),f6(c12))|~sQ4_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f80])).
% 0.12/0.37 fof(f83,definition,(
% 0.12/0.37 sQ5_spl <=> (p11(f9(c13),f9(c14)))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f84,plain,(
% 0.12/0.37 p11(f9(c13),f9(c14))|~sQ5_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f83])).
% 0.12/0.37 fof(f86,plain,(
% 0.12/0.37 sQ4_spl|sQ5_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f79,f80,f83])).
% 0.12/0.37 fof(f87,plain,(
% 0.12/0.37 $false|~sQ4_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f81,f27])).
% 0.12/0.37 fof(f88,plain,(
% 0.12/0.37 ~sQ4_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f87])).
% 0.12/0.37 fof(f89,plain,(
% 0.12/0.37 $false|~sQ5_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f84,f23])).
% 0.12/0.37 fof(f90,plain,(
% 0.12/0.37 ~sQ5_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f89])).
% 0.12/0.37 fof(f91,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(sat_refutation,[status(thm)],[f86,f88,f90])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.028675 seconds
% 0.12/0.39 % CPU time: 0.077641 seconds
% 0.12/0.39 % Total memory used: 5.193 MB
% 0.12/0.39 % Net memory used: 5.045 MB
%------------------------------------------------------------------------------