%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN560-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 0.14s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN560-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n007.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Mon Sep 21 11:06:36 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.42 % Drodi V4.1.1
% 0.14/0.52 % Refutation found
% 0.14/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.52 fof(f1,negated_conjecture,(
% 0.14/0.52 (![X0]: (p2(X0,X0) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f2,negated_conjecture,(
% 0.14/0.52 ~ p2(c9,f3(c10)) ),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f4,negated_conjecture,(
% 0.14/0.52 (![X9]: (p2(f4(X9),f5(X9,f3(f7(c10)))) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f8,negated_conjecture,(
% 0.14/0.52 (![X1,X2,X0]: (( p2(X1,X2)| ~ p2(X0,X1)| ~ p2(X0,X2) ) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f9,negated_conjecture,(
% 0.14/0.52 (![X24,X25,X26]: (( p8(X24,X25)| ~ p8(X24,X26)| ~ p8(X26,X25) ) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f10,negated_conjecture,(
% 0.14/0.52 p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))) ),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f11,negated_conjecture,(
% 0.14/0.52 ~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))) ),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f12,negated_conjecture,(
% 0.14/0.52 (![X20,X21,X23,X22]: (( p8(X20,X21)| ~ p2(X23,X21)| ~ p8(X22,X23)| ~ p2(X22,X20) ) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f14,negated_conjecture,(
% 0.14/0.52 (![X14,X15,X16,X17]: (( p2(f6(X14,X15),f6(X16,X17))| ~ p2(X15,X17)| ~ p2(X14,X16) ) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f15,negated_conjecture,(
% 0.14/0.52 (![X3,X4]: (( p2(X3,f3(c10))| p8(f6(X3,X4),f6(X3,f5(X4,f3(f7(c10))))) ) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f16,plain,(
% 0.14/0.52 ![X0]: (p2(X0,X0))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.52 fof(f17,plain,(
% 0.14/0.52 ~p2(c9,f3(c10))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.52 fof(f19,plain,(
% 0.14/0.52 ![X0]: (p2(f4(X0),f5(X0,f3(f7(c10)))))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.52 fof(f23,plain,(
% 0.14/0.52 ![X2,X0]: ((![X1]: (p2(X1,X2)|~p2(X0,X1)))|~p2(X0,X2))),
% 0.14/0.52 inference(miniscoping,[status(thm)],[f8])).
% 0.14/0.52 fof(f24,plain,(
% 0.14/0.52 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.52 fof(f25,plain,(
% 0.14/0.52 ![X25,X26]: ((![X24]: (p8(X24,X25)|~p8(X24,X26)))|~p8(X26,X25))),
% 0.14/0.52 inference(miniscoping,[status(thm)],[f9])).
% 0.14/0.52 fof(f26,plain,(
% 0.14/0.52 ![X0,X1,X2]: (p8(X0,X1)|~p8(X0,X2)|~p8(X2,X1))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.52 fof(f27,plain,(
% 0.14/0.52 p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14))))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.52 fof(f28,plain,(
% 0.14/0.52 ~p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14)))))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.52 fof(f29,plain,(
% 0.14/0.52 ![X20,X22]: ((![X23]: ((![X21]: (p8(X20,X21)|~p2(X23,X21)))|~p8(X22,X23)))|~p2(X22,X20))),
% 0.14/0.52 inference(miniscoping,[status(thm)],[f12])).
% 0.14/0.52 fof(f30,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (p8(X0,X1)|~p2(X2,X1)|~p8(X3,X2)|~p2(X3,X0))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.52 fof(f33,plain,(
% 0.14/0.52 ![X14,X16]: ((![X15,X17]: (p2(f6(X14,X15),f6(X16,X17))|~p2(X15,X17)))|~p2(X14,X16))),
% 0.14/0.52 inference(miniscoping,[status(thm)],[f14])).
% 0.14/0.52 fof(f34,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (p2(f6(X0,X1),f6(X2,X3))|~p2(X1,X3)|~p2(X0,X2))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.52 fof(f35,plain,(
% 0.14/0.52 ![X3]: (p2(X3,f3(c10))|(![X4]: p8(f6(X3,X4),f6(X3,f5(X4,f3(f7(c10)))))))),
% 0.14/0.52 inference(miniscoping,[status(thm)],[f15])).
% 0.14/0.52 fof(f36,plain,(
% 0.14/0.52 ![X0,X1]: (p2(X0,f3(c10))|p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10))))))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f35])).
% 0.14/0.52 fof(f44,plain,(
% 0.14/0.52 ![X0]: (p8(f6(c9,f4(c12)),X0)|~p8(f6(c9,f4(f5(c12,c14))),X0))),
% 0.14/0.52 inference(resolution,[status(thm)],[f27,f26])).
% 0.14/0.52 fof(f45,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (p2(X0,f3(c10))|p8(X1,X2)|~p2(f6(X0,f5(X3,f3(f7(c10)))),X2)|~p2(f6(X0,X3),X1))),
% 0.14/0.52 inference(resolution,[status(thm)],[f36,f30])).
% 0.14/0.52 fof(f57,definition,(
% 0.14/0.52 sQ1_spl <=> (p2(c9,f3(c10)))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f58,plain,(
% 0.14/0.52 p2(c9,f3(c10))|~sQ1_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f57])).
% 0.14/0.52 fof(f65,plain,(
% 0.14/0.52 ![X0,X1,X2,X3,X4]: (p2(X0,f3(c10))|p8(X1,f6(X2,X3))|~p2(f6(X0,X4),X1)|~p2(f5(X4,f3(f7(c10))),X3)|~p2(X0,X2))),
% 0.14/0.52 inference(resolution,[status(thm)],[f45,f34])).
% 0.14/0.52 fof(f94,plain,(
% 0.14/0.52 $false|~sQ1_spl),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f58,f17])).
% 0.14/0.52 fof(f95,plain,(
% 0.14/0.52 ~sQ1_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f94])).
% 0.14/0.52 fof(f97,plain,(
% 0.14/0.52 ![X0,X1,X2,X3,X4,X5]: (p2(X0,f3(c10))|p8(X1,f6(X2,X3))|~p2(f6(X0,X4),X1)|~p2(X0,X2)|~p2(X5,f5(X4,f3(f7(c10))))|~p2(X5,X3))),
% 0.14/0.52 inference(resolution,[status(thm)],[f65,f24])).
% 0.14/0.52 fof(f174,plain,(
% 0.14/0.52 ![X0,X1,X2,X3,X4]: (p2(X0,f3(c10))|p8(f6(X0,X1),f6(X2,X3))|~p2(X0,X2)|~p2(X4,f5(X1,f3(f7(c10))))|~p2(X4,X3))),
% 0.14/0.52 inference(resolution,[status(thm)],[f97,f16])).
% 0.14/0.52 fof(f393,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (p2(X0,f3(c10))|p8(f6(X0,X1),f6(X2,X3))|~p2(X0,X2)|~p2(f4(X1),X3))),
% 0.14/0.52 inference(resolution,[status(thm)],[f174,f19])).
% 0.14/0.52 fof(f399,plain,(
% 0.14/0.52 ![X0,X1,X2]: (p2(X0,f3(c10))|p8(f6(X0,X1),f6(X2,f4(X1)))|~p2(X0,X2))),
% 0.14/0.52 inference(resolution,[status(thm)],[f393,f16])).
% 0.14/0.52 fof(f408,plain,(
% 0.14/0.52 ![X0,X1]: (p2(X0,f3(c10))|p8(f6(X0,X1),f6(X0,f4(X1))))),
% 0.14/0.52 inference(resolution,[status(thm)],[f399,f16])).
% 0.14/0.52 fof(f448,plain,(
% 0.14/0.52 p2(c9,f3(c10))|p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14)))))),
% 0.14/0.52 inference(resolution,[status(thm)],[f408,f44])).
% 0.14/0.52 fof(f466,definition,(
% 0.14/0.52 sQ14_spl <=> (p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f467,plain,(
% 0.14/0.52 p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14)))))|~sQ14_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f466])).
% 0.14/0.52 fof(f469,plain,(
% 0.14/0.52 sQ1_spl|sQ14_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f448,f57,f466])).
% 0.14/0.52 fof(f485,plain,(
% 0.14/0.52 $false|~sQ14_spl),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f467,f28])).
% 0.14/0.52 fof(f486,plain,(
% 0.14/0.52 ~sQ14_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f485])).
% 0.14/0.52 fof(f487,plain,(
% 0.14/0.52 $false),
% 0.14/0.52 inference(sat_refutation,[status(thm)],[f95,f469,f486])).
% 0.14/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.54 % Elapsed time: 0.118110 seconds
% 0.23/0.54 % CPU time: 0.769165 seconds
% 0.23/0.54 % Total memory used: 33.693 MB
% 0.23/0.54 % Net memory used: 31.202 MB
%------------------------------------------------------------------------------