%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN558-1 : 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 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN558-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:08:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1,negated_conjecture,(
% 0.13/0.42 (![X0]: (p2(X0,X0) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f2,negated_conjecture,(
% 0.13/0.42 (![X8]: (p4(X8,X8) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f3,negated_conjecture,(
% 0.13/0.42 (![X21]: (p6(c7,f3(X21)) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f4,negated_conjecture,(
% 0.13/0.42 p5(c7,c10,c9) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f5,negated_conjecture,(
% 0.13/0.42 p5(c7,c10,c8) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f6,negated_conjecture,(
% 0.13/0.42 (![X21]: (p5(c7,X21,f3(X21)) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f8,negated_conjecture,(
% 0.13/0.42 (![X26]: (( ~ p5(c7,c8,X26)| ~ p5(c7,c9,X26) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f11,negated_conjecture,(
% 0.13/0.42 (![X11,X12,X13,X14]: (( p5(X11,X12,X13)| ~ p5(X11,X12,X14)| ~ p5(X11,X14,X13) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f13,negated_conjecture,(
% 0.13/0.42 (![X3,X4,X5]: (( p2(X3,X4)| ~ p6(c7,X4)| ~ p6(c7,X3)| ~ p5(c7,X5,X4)| ~ p5(c7,X5,X3) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f14,negated_conjecture,(
% 0.13/0.42 (![X15,X16,X17,X18,X19,X20]: (( p5(X15,X16,X17)| ~ p2(X18,X16)| ~ p2(X19,X17)| ~ p4(X20,X15)| ~ p5(X20,X18,X19) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f15,plain,(
% 0.13/0.42 ![X0]: (p2(X0,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.42 fof(f16,plain,(
% 0.13/0.42 ![X0]: (p4(X0,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.42 fof(f17,plain,(
% 0.13/0.42 ![X0]: (p6(c7,f3(X0)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.42 fof(f18,plain,(
% 0.13/0.42 p5(c7,c10,c9)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.42 fof(f19,plain,(
% 0.13/0.42 p5(c7,c10,c8)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.42 fof(f20,plain,(
% 0.13/0.42 ![X0]: (p5(c7,X0,f3(X0)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.42 fof(f22,plain,(
% 0.13/0.42 ![X0]: (~p5(c7,c8,X0)|~p5(c7,c9,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.42 fof(f27,plain,(
% 0.13/0.42 ![X11,X13,X14]: ((![X12]: (p5(X11,X12,X13)|~p5(X11,X12,X14)))|~p5(X11,X14,X13))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f11])).
% 0.13/0.42 fof(f28,plain,(
% 0.13/0.42 ![X0,X1,X2,X3]: (p5(X0,X1,X2)|~p5(X0,X1,X3)|~p5(X0,X3,X2))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.42 fof(f31,plain,(
% 0.13/0.42 ![X3,X5]: ((![X4]: (((p2(X3,X4)|~p6(c7,X4))|~p6(c7,X3))|~p5(c7,X5,X4)))|~p5(c7,X5,X3))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f13])).
% 0.13/0.42 fof(f32,plain,(
% 0.13/0.42 ![X0,X1,X2]: (p2(X0,X1)|~p6(c7,X1)|~p6(c7,X0)|~p5(c7,X2,X1)|~p5(c7,X2,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.42 fof(f33,plain,(
% 0.13/0.42 ![X18,X19,X20]: ((![X15]: ((![X17]: ((![X16]: (p5(X15,X16,X17)|~p2(X18,X16)))|~p2(X19,X17)))|~p4(X20,X15)))|~p5(X20,X18,X19))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f14])).
% 0.13/0.42 fof(f34,plain,(
% 0.13/0.42 ![X0,X1,X2,X3,X4,X5]: (p5(X0,X1,X2)|~p2(X3,X1)|~p2(X4,X2)|~p4(X5,X0)|~p5(X5,X3,X4))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.42 fof(f46,plain,(
% 0.13/0.42 ![X0]: (p5(c7,c10,X0)|~p5(c7,c8,X0))),
% 0.13/0.42 inference(resolution,[status(thm)],[f28,f19])).
% 0.13/0.42 fof(f47,plain,(
% 0.13/0.42 ![X0]: (p5(c7,c10,X0)|~p5(c7,c9,X0))),
% 0.13/0.42 inference(resolution,[status(thm)],[f28,f18])).
% 0.13/0.42 fof(f48,plain,(
% 0.13/0.42 ![X0,X1]: (p5(c7,X0,X1)|~p5(c7,f3(X0),X1))),
% 0.13/0.42 inference(resolution,[status(thm)],[f28,f20])).
% 0.13/0.42 fof(f55,plain,(
% 0.13/0.42 ![X0,X1,X2]: (p2(X0,f3(X1))|~p6(c7,X0)|~p5(c7,X2,f3(X1))|~p5(c7,X2,X0))),
% 0.13/0.42 inference(resolution,[status(thm)],[f32,f17])).
% 0.13/0.42 fof(f56,plain,(
% 0.13/0.42 ![X0,X1,X2,X3,X4]: (p5(X0,X1,X2)|~p2(X3,X1)|~p4(X4,X0)|~p5(X4,X3,X2))),
% 0.13/0.42 inference(resolution,[status(thm)],[f34,f15])).
% 0.13/0.42 fof(f58,plain,(
% 0.13/0.42 p5(c7,c10,f3(c8))),
% 0.13/0.42 inference(resolution,[status(thm)],[f46,f20])).
% 0.13/0.42 fof(f61,plain,(
% 0.13/0.42 p5(c7,c10,f3(c9))),
% 0.13/0.42 inference(resolution,[status(thm)],[f47,f20])).
% 0.13/0.42 fof(f62,plain,(
% 0.13/0.42 ![X0]: (p5(c7,X0,f3(f3(X0))))),
% 0.13/0.42 inference(resolution,[status(thm)],[f48,f20])).
% 0.13/0.42 fof(f68,plain,(
% 0.13/0.42 ~p5(c7,c9,f3(f3(c8)))),
% 0.13/0.42 inference(resolution,[status(thm)],[f62,f22])).
% 0.13/0.44 fof(f79,plain,(
% 0.13/0.44 ![X0,X1,X2]: (p2(f3(X0),f3(X1))|~p5(c7,X2,f3(X1))|~p5(c7,X2,f3(X0)))),
% 0.13/0.44 inference(resolution,[status(thm)],[f55,f17])).
% 0.13/0.44 fof(f80,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (p5(X0,X1,X2)|~p2(X3,X1)|~p5(X0,X3,X2))),
% 0.13/0.44 inference(resolution,[status(thm)],[f56,f16])).
% 0.13/0.44 fof(f89,plain,(
% 0.13/0.44 ![X0]: (p2(f3(X0),f3(c9))|~p5(c7,c10,f3(X0)))),
% 0.13/0.44 inference(resolution,[status(thm)],[f79,f61])).
% 0.13/0.44 fof(f124,plain,(
% 0.13/0.44 p2(f3(c8),f3(c9))),
% 0.13/0.44 inference(resolution,[status(thm)],[f89,f58])).
% 0.13/0.44 fof(f129,plain,(
% 0.13/0.44 ![X0,X1]: (p5(X0,f3(c9),X1)|~p5(X0,f3(c8),X1))),
% 0.13/0.44 inference(resolution,[status(thm)],[f124,f80])).
% 0.13/0.44 fof(f500,plain,(
% 0.13/0.44 p5(c7,f3(c9),f3(f3(c8)))),
% 0.13/0.44 inference(resolution,[status(thm)],[f129,f20])).
% 0.13/0.44 fof(f1428,plain,(
% 0.13/0.44 p5(c7,c9,f3(f3(c8)))),
% 0.13/0.44 inference(resolution,[status(thm)],[f500,f48])).
% 0.13/0.44 fof(f1441,plain,(
% 0.13/0.44 $false),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1428,f68])).
% 0.13/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.073602 seconds
% 0.13/0.45 % CPU time: 0.365870 seconds
% 0.13/0.45 % Total memory used: 53.586 MB
% 0.13/0.45 % Net memory used: 52.317 MB
%------------------------------------------------------------------------------