%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN553-1 : 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 : n011.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 0.09s 0.64s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN553-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n011.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Mon Sep 21 11:08:26 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 % Drodi V4.1.1
% 0.09/0.64 % Refutation found
% 0.09/0.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.64 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.64 fof(f1,negated_conjecture,(
% 0.09/0.64 (![X0]: (p2(X0,X0) ))),
% 0.09/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.64 fof(f5,negated_conjecture,(
% 0.09/0.64 (![X11,X12]: (p2(f8(X11,X12),f8(X12,X11)) ))),
% 0.09/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.64 fof(f6,negated_conjecture,(
% 0.09/0.64 (![X1,X2,X3]: (( p2(X1,X2)| ~ p2(X1,X3)| ~ p2(X3,X2) ) ))),
% 0.09/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.64 fof(f7,negated_conjecture,(
% 0.09/0.64 (![X8,X9,X10]: (p2(f8(X8,f8(X9,X10)),f8(f8(X8,X9),X10)) ))),
% 0.09/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.64 fof(f8,negated_conjecture,(
% 0.09/0.64 (![X4,X5,X6,X7]: (( p2(f8(X4,X5),f8(X6,X7))| ~ p2(X4,X6)| ~ p2(X5,X7) ) ))),
% 0.09/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.64 fof(f9,negated_conjecture,(
% 0.09/0.64 ~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))) ),
% 0.09/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.64 fof(f10,plain,(
% 0.09/0.64 ![X0]: (p2(X0,X0))),
% 0.09/0.64 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.64 fof(f14,plain,(
% 0.09/0.64 ![X0,X1]: (p2(f8(X0,X1),f8(X1,X0)))),
% 0.09/0.64 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.64 fof(f15,plain,(
% 0.09/0.64 ![X2,X3]: ((![X1]: (p2(X1,X2)|~p2(X1,X3)))|~p2(X3,X2))),
% 0.09/0.64 inference(miniscoping,[status(thm)],[f6])).
% 0.09/0.64 fof(f16,plain,(
% 0.09/0.64 ![X0,X1,X2]: (p2(X0,X1)|~p2(X0,X2)|~p2(X2,X1))),
% 0.09/0.64 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.64 fof(f17,plain,(
% 0.09/0.64 ![X0,X1,X2]: (p2(f8(X0,f8(X1,X2)),f8(f8(X0,X1),X2)))),
% 0.09/0.64 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.64 fof(f18,plain,(
% 0.09/0.64 ![X5,X7]: ((![X4,X6]: (p2(f8(X4,X5),f8(X6,X7))|~p2(X4,X6)))|~p2(X5,X7))),
% 0.09/0.64 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.64 fof(f19,plain,(
% 0.09/0.64 ![X0,X1,X2,X3]: (p2(f8(X0,X1),f8(X2,X3))|~p2(X0,X2)|~p2(X1,X3))),
% 0.09/0.64 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.64 fof(f20,plain,(
% 0.09/0.64 ~p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4)))),
% 0.09/0.64 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.64 fof(f34,plain,(
% 0.09/0.64 ![X0]: (~p2(f8(f8(f9(c4),c4),f9(c3)),X0)|~p2(X0,f8(f9(c4),f8(f9(c3),c4))))),
% 0.09/0.64 inference(resolution,[status(thm)],[f20,f16])).
% 0.09/0.64 fof(f48,plain,(
% 0.09/0.64 ~p2(f8(f9(c3),f8(f9(c4),c4)),f8(f9(c4),f8(f9(c3),c4)))),
% 0.09/0.64 inference(resolution,[status(thm)],[f34,f14])).
% 0.09/0.64 fof(f52,plain,(
% 0.09/0.64 ![X0]: (~p2(f8(f9(c3),f8(f9(c4),c4)),X0)|~p2(X0,f8(f9(c4),f8(f9(c3),c4))))),
% 0.09/0.64 inference(resolution,[status(thm)],[f48,f16])).
% 0.09/0.64 fof(f76,plain,(
% 0.09/0.64 ~p2(f8(f9(c3),f8(f9(c4),c4)),f8(f8(f9(c3),c4),f9(c4)))),
% 0.09/0.64 inference(resolution,[status(thm)],[f52,f14])).
% 0.09/0.64 fof(f80,plain,(
% 0.09/0.64 ![X0]: (~p2(f8(f9(c3),f8(f9(c4),c4)),X0)|~p2(X0,f8(f8(f9(c3),c4),f9(c4))))),
% 0.09/0.64 inference(resolution,[status(thm)],[f76,f16])).
% 0.09/0.64 fof(f83,plain,(
% 0.09/0.64 ~p2(f8(f8(f9(c3),f9(c4)),c4),f8(f8(f9(c3),c4),f9(c4)))),
% 0.09/0.64 inference(resolution,[status(thm)],[f80,f17])).
% 0.09/0.64 fof(f89,plain,(
% 0.09/0.64 ![X0]: (~p2(f8(f8(f9(c3),f9(c4)),c4),X0)|~p2(X0,f8(f8(f9(c3),c4),f9(c4))))),
% 0.09/0.64 inference(resolution,[status(thm)],[f83,f16])).
% 0.09/0.64 fof(f108,plain,(
% 0.09/0.64 ~p2(f8(c4,f8(f9(c3),f9(c4))),f8(f8(f9(c3),c4),f9(c4)))),
% 0.09/0.64 inference(resolution,[status(thm)],[f89,f14])).
% 0.14/0.64 fof(f112,plain,(
% 0.14/0.64 ![X0]: (~p2(f8(c4,f8(f9(c3),f9(c4))),X0)|~p2(X0,f8(f8(f9(c3),c4),f9(c4))))),
% 0.14/0.64 inference(resolution,[status(thm)],[f108,f16])).
% 0.14/0.64 fof(f119,plain,(
% 0.14/0.64 ~p2(f8(f8(c4,f9(c3)),f9(c4)),f8(f8(f9(c3),c4),f9(c4)))),
% 0.14/0.64 inference(resolution,[status(thm)],[f112,f17])).
% 0.14/0.64 fof(f124,plain,(
% 0.14/0.64 ~p2(f8(c4,f9(c3)),f8(f9(c3),c4))|~p2(f9(c4),f9(c4))),
% 0.14/0.64 inference(resolution,[status(thm)],[f119,f19])).
% 0.14/0.64 fof(f126,plain,(
% 0.14/0.64 ~p2(f9(c4),f9(c4))),
% 0.14/0.64 inference(forward_subsumption_resolution,[status(thm)],[f124,f14])).
% 0.14/0.64 fof(f127,plain,(
% 0.14/0.64 $false),
% 0.14/0.64 inference(forward_subsumption_resolution,[status(thm)],[f126,f10])).
% 0.14/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.65 % Elapsed time: 0.064641 seconds
% 0.14/0.65 % CPU time: 0.238232 seconds
% 0.14/0.65 % Total memory used: 58.840 MB
% 0.14/0.65 % Net memory used: 58.061 MB
%------------------------------------------------------------------------------