%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN564-1 : 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 : n005.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 0.13s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN564-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 11:08:33 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.49 % Refutation found
% 0.13/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.49 fof(f1,negated_conjecture,(
% 0.13/0.49 (![X9]: (p2(X9,X9) ))),
% 0.13/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f3,negated_conjecture,(
% 0.13/0.49 (![X18]: (p2(f5(f7(X18)),f5(X18)) ))),
% 0.13/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f4,negated_conjecture,(
% 0.13/0.49 (![X38,X39]: (p4(f8(X38,X39),f6(X38,f7(X39))) ))),
% 0.13/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f6,negated_conjecture,(
% 0.13/0.49 (![X16,X17]: (( p2(f5(X16),f5(X17))| ~ p4(X16,X17) ) ))),
% 0.13/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f8,negated_conjecture,(
% 0.13/0.49 (![X10,X11,X9]: (( p2(X10,X11)| ~ p2(X9,X10)| ~ p2(X9,X11) ) ))),
% 0.13/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f10,negated_conjecture,(
% 0.13/0.49 (![X7,X8]: (p10(f5(X7),f3(f5(f6(X7,X8)),f5(X8))) ))),
% 0.13/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f11,negated_conjecture,(
% 0.13/0.49 ~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))) ),
% 0.13/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f13,negated_conjecture,(
% 0.13/0.49 (![X4,X6,X5]: (( p10(f9(X4,X6),X5)| ~ p10(X4,f3(X5,X6)) ) ))),
% 0.13/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f14,negated_conjecture,(
% 0.13/0.49 (![X0,X1,X2,X3]: (( p10(X0,X1)| ~ p2(X2,X0)| ~ p2(X3,X1)| ~ p10(X2,X3) ) ))),
% 0.13/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f16,negated_conjecture,(
% 0.13/0.49 (![X12,X13,X14,X15]: (( p2(f3(X12,X13),f3(X14,X15))| ~ p2(X12,X14)| ~ p2(X13,X15) ) ))),
% 0.13/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f19,plain,(
% 0.13/0.49 ![X0]: (p2(X0,X0))),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.49 fof(f21,plain,(
% 0.13/0.49 ![X0]: (p2(f5(f7(X0)),f5(X0)))),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.49 fof(f22,plain,(
% 0.13/0.49 ![X0,X1]: (p4(f8(X0,X1),f6(X0,f7(X1))))),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.49 fof(f24,plain,(
% 0.13/0.49 ![X0,X1]: (p2(f5(X0),f5(X1))|~p4(X0,X1))),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.49 fof(f26,plain,(
% 0.13/0.49 ![X11,X9]: ((![X10]: (p2(X10,X11)|~p2(X9,X10)))|~p2(X9,X11))),
% 0.13/0.49 inference(miniscoping,[status(thm)],[f8])).
% 0.13/0.49 fof(f27,plain,(
% 0.13/0.49 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.49 fof(f30,plain,(
% 0.13/0.49 ![X0,X1]: (p10(f5(X0),f3(f5(f6(X0,X1)),f5(X1))))),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.49 fof(f31,plain,(
% 0.13/0.49 ~p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12)))),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.49 fof(f33,plain,(
% 0.13/0.49 ![X0,X1,X2]: (p10(f9(X0,X1),X2)|~p10(X0,f3(X2,X1)))),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.49 fof(f34,plain,(
% 0.13/0.49 ![X2,X3]: ((![X1]: ((![X0]: (p10(X0,X1)|~p2(X2,X0)))|~p2(X3,X1)))|~p10(X2,X3))),
% 0.13/0.49 inference(miniscoping,[status(thm)],[f14])).
% 0.13/0.49 fof(f35,plain,(
% 0.13/0.49 ![X0,X1,X2,X3]: (p10(X0,X1)|~p2(X2,X0)|~p2(X3,X1)|~p10(X2,X3))),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.49 fof(f38,plain,(
% 0.13/0.49 ![X13,X15]: ((![X12,X14]: (p2(f3(X12,X13),f3(X14,X15))|~p2(X12,X14)))|~p2(X13,X15))),
% 0.13/0.49 inference(miniscoping,[status(thm)],[f16])).
% 0.13/0.49 fof(f39,plain,(
% 0.13/0.49 ![X0,X1,X2,X3]: (p2(f3(X0,X1),f3(X2,X3))|~p2(X0,X2)|~p2(X1,X3))),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.49 fof(f45,plain,(
% 0.13/0.49 ![X0,X1]: (p2(f5(f8(X0,X1)),f5(f6(X0,f7(X1)))))),
% 0.13/0.49 inference(resolution,[status(thm)],[f24,f22])).
% 0.13/0.49 fof(f55,plain,(
% 0.13/0.49 ![X0,X1]: (p2(X0,X1)|~p2(X1,X0))),
% 0.13/0.49 inference(resolution,[status(thm)],[f27,f19])).
% 0.13/0.49 fof(f78,plain,(
% 0.13/0.49 ![X0,X1,X2,X3]: (p10(X0,X1)|~p2(f5(X2),X0)|~p2(f3(f5(f6(X2,X3)),f5(X3)),X1))),
% 0.13/0.49 inference(resolution,[status(thm)],[f35,f30])).
% 0.13/0.49 fof(f90,plain,(
% 0.13/0.49 ![X0,X1,X2]: (p2(f3(X0,f5(f7(X1))),f3(X2,f5(X1)))|~p2(X0,X2))),
% 0.13/0.49 inference(resolution,[status(thm)],[f39,f21])).
% 0.13/0.49 fof(f122,plain,(
% 0.13/0.49 ![X0,X1]: (p2(f5(f6(X0,f7(X1))),f5(f8(X0,X1))))),
% 0.13/0.49 inference(resolution,[status(thm)],[f45,f55])).
% 0.13/0.49 fof(f194,plain,(
% 0.13/0.49 ![X0,X1,X2]: (p10(f5(X0),X1)|~p2(f3(f5(f6(X0,X2)),f5(X2)),X1))),
% 0.13/0.49 inference(resolution,[status(thm)],[f78,f19])).
% 0.13/0.49 fof(f398,plain,(
% 0.13/0.49 ![X0,X1,X2]: (p2(f3(f5(f6(X0,f7(X1))),f5(f7(X2))),f3(f5(f8(X0,X1)),f5(X2))))),
% 0.13/0.49 inference(resolution,[status(thm)],[f122,f90])).
% 0.13/0.49 fof(f4003,plain,(
% 0.13/0.49 ![X0,X1]: (p10(f5(X0),f3(f5(f8(X0,X1)),f5(X1))))),
% 0.13/0.49 inference(resolution,[status(thm)],[f398,f194])).
% 0.13/0.49 fof(f4025,plain,(
% 0.13/0.49 ![X0,X1]: (p10(f9(f5(X0),f5(X1)),f5(f8(X0,X1))))),
% 0.13/0.49 inference(resolution,[status(thm)],[f4003,f33])).
% 0.13/0.49 fof(f4210,plain,(
% 0.13/0.49 $false),
% 0.13/0.49 inference(backward_subsumption_resolution,[status(thm)],[f31,f4025])).
% 0.13/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.50 % Elapsed time: 0.138083 seconds
% 0.13/0.50 % CPU time: 0.874832 seconds
% 0.13/0.50 % Total memory used: 75.696 MB
% 0.13/0.50 % Net memory used: 70.657 MB
%------------------------------------------------------------------------------