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Drodi-SAT---4.1.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN561-1 : 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 : n003.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 0.39s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN561-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n003.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 11:10:16 UTC 2026
% 0.12/0.36  % CPUTime  : 
% 0.12/0.37  % Drodi V4.1.1
% 0.12/0.39  % Refutation found
% 0.12/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39  % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39  fof(f1,negated_conjecture,(
% 0.12/0.39    (![X0]: (p2(X0,X0) ))),
% 0.12/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39  fof(f2,negated_conjecture,(
% 0.12/0.39    p9(c14,c10) ),
% 0.12/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39  fof(f3,negated_conjecture,(
% 0.12/0.39    p8(c11,c14) ),
% 0.12/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39  fof(f4,negated_conjecture,(
% 0.12/0.39    p2(f7(c10,c14),c15) ),
% 0.12/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39  fof(f5,negated_conjecture,(
% 0.12/0.39    p2(f6(c15,c11),c16) ),
% 0.12/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39  fof(f6,negated_conjecture,(
% 0.12/0.39    p2(f3(f4(f5(c12)),c13),c16) ),
% 0.12/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39  fof(f9,negated_conjecture,(
% 0.12/0.39    (![X1,X2,X0]: (( p2(X1,X2)| ~ p2(X0,X1)| ~ p2(X0,X2) ) ))),
% 0.12/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39  fof(f15,negated_conjecture,(
% 0.12/0.39    (![X28,X27]: (( ~ p9(X28,c10)| ~ p8(c11,X28)| ~ p2(f7(c10,X28),X27)| ~ p2(f6(X27,c11),f3(f4(f5(c12)),c13)) ) ))),
% 0.12/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39  fof(f16,plain,(
% 0.12/0.39    ![X0]: (p2(X0,X0))),
% 0.12/0.39    inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39  fof(f17,plain,(
% 0.12/0.39    p9(c14,c10)),
% 0.12/0.39    inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.39  fof(f18,plain,(
% 0.12/0.39    p8(c11,c14)),
% 0.12/0.39    inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.39  fof(f19,plain,(
% 0.12/0.39    p2(f7(c10,c14),c15)),
% 0.12/0.39    inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39  fof(f20,plain,(
% 0.12/0.39    p2(f6(c15,c11),c16)),
% 0.12/0.39    inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39  fof(f21,plain,(
% 0.12/0.39    p2(f3(f4(f5(c12)),c13),c16)),
% 0.12/0.39    inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.39  fof(f24,plain,(
% 0.12/0.39    ![X2,X0]: ((![X1]: (p2(X1,X2)|~p2(X0,X1)))|~p2(X0,X2))),
% 0.12/0.39    inference(miniscoping,[status(thm)],[f9])).
% 0.12/0.39  fof(f25,plain,(
% 0.12/0.39    ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.12/0.39    inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.39  fof(f36,plain,(
% 0.12/0.39    ![X27]: ((![X28]: ((~p9(X28,c10)|~p8(c11,X28))|~p2(f7(c10,X28),X27)))|~p2(f6(X27,c11),f3(f4(f5(c12)),c13)))),
% 0.12/0.39    inference(miniscoping,[status(thm)],[f15])).
% 0.12/0.39  fof(f37,plain,(
% 0.12/0.39    ![X0,X1]: (~p9(X0,c10)|~p8(c11,X0)|~p2(f7(c10,X0),X1)|~p2(f6(X1,c11),f3(f4(f5(c12)),c13)))),
% 0.12/0.39    inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.39  fof(f38,plain,(
% 0.12/0.39    ![X0,X1,X2]: (~p9(X0,c10)|~p8(c11,X0)|~p2(f7(c10,X0),X1)|~p2(X2,f6(X1,c11))|~p2(X2,f3(f4(f5(c12)),c13)))),
% 0.12/0.39    inference(resolution,[status(thm)],[f37,f25])).
% 0.12/0.39  fof(f39,plain,(
% 0.12/0.39    ![X0,X1]: (~p9(c14,c10)|~p2(f7(c10,c14),X0)|~p2(X1,f6(X0,c11))|~p2(X1,f3(f4(f5(c12)),c13)))),
% 0.12/0.39    inference(resolution,[status(thm)],[f38,f18])).
% 0.12/0.39  fof(f41,plain,(
% 0.12/0.39    ![X0,X1]: (~p2(f7(c10,c14),X0)|~p2(X1,f6(X0,c11))|~p2(X1,f3(f4(f5(c12)),c13)))),
% 0.12/0.39    inference(forward_subsumption_resolution,[status(thm)],[f39,f17])).
% 0.12/0.39  fof(f43,plain,(
% 0.12/0.39    ![X0,X1,X2]: (~p2(f7(c10,c14),X0)|~p2(X1,f6(X0,c11))|~p2(X2,X1)|~p2(X2,f3(f4(f5(c12)),c13)))),
% 0.12/0.39    inference(resolution,[status(thm)],[f41,f25])).
% 0.12/0.39  fof(f49,plain,(
% 0.12/0.39    ![X0,X1]: (~p2(f7(c10,c14),X0)|~p2(X1,f6(X0,c11))|~p2(f3(f4(f5(c12)),c13),X1))),
% 0.12/0.39    inference(resolution,[status(thm)],[f43,f16])).
% 0.12/0.39  fof(f51,plain,(
% 0.12/0.39    ![X0,X1,X2]: (~p2(f7(c10,c14),X0)|~p2(f3(f4(f5(c12)),c13),X1)|~p2(X2,X1)|~p2(X2,f6(X0,c11)))),
% 0.12/0.39    inference(resolution,[status(thm)],[f49,f25])).
% 0.12/0.39  fof(f56,plain,(
% 0.12/0.39    ![X0,X1]: (~p2(f7(c10,c14),X0)|~p2(f3(f4(f5(c12)),c13),X1)|~p2(f6(X0,c11),X1))),
% 0.12/0.39    inference(resolution,[status(thm)],[f51,f16])).
% 0.12/0.39  fof(f57,plain,(
% 0.12/0.39    ![X0]: (~p2(f7(c10,c14),X0)|~p2(f6(X0,c11),c16))),
% 0.12/0.39    inference(resolution,[status(thm)],[f56,f21])).
% 0.12/0.39  fof(f61,plain,(
% 0.12/0.39    ~p2(f7(c10,c14),c15)),
% 0.12/0.39    inference(resolution,[status(thm)],[f57,f20])).
% 0.12/0.39  fof(f63,plain,(
% 0.12/0.39    $false),
% 0.12/0.39    inference(forward_subsumption_resolution,[status(thm)],[f61,f19])).
% 0.12/0.39  % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41  % Elapsed time: 0.048613 seconds
% 0.12/0.41  % CPU time: 0.142583 seconds
% 0.12/0.41  % Total memory used: 49.148 MB
% 0.12/0.41  % Net memory used: 48.750 MB
%------------------------------------------------------------------------------