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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN557-1 : 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 : n016.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 0.84s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.57  % Computer : n016.cluster.edu
% 0.08/0.57  % Model    : x86_64 x86_64
% 0.08/0.57  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.57  % Memory   : 8046.5625MB
% 0.08/0.57  % OS       : Linux 6.8.0-71-generic
% 0.08/0.57  % CPULimit : 300
% 0.08/0.57  % WCLimit  : 300
% 0.08/0.57  % DateTime : Mon Sep 21 11:12:54 UTC 2026
% 0.08/0.58  % CPUTime  : 
% 0.08/0.58  % Drodi V4.1.1
% 0.13/0.84  % Refutation found
% 0.13/0.84  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.84  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.84  fof(f1,negated_conjecture,(
% 0.13/0.84    (![X3]: (p2(X3,X3) ))),
% 0.13/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.84  fof(f3,negated_conjecture,(
% 0.13/0.84    ~ p2(c6,f3(c8,f5(c9))) ),
% 0.13/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.84  fof(f4,negated_conjecture,(
% 0.13/0.84    (![X10,X11]: (p2(f3(X10,X11),f3(X11,X10)) ))),
% 0.13/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.84  fof(f6,negated_conjecture,(
% 0.13/0.84    (![X4,X5,X3]: (( p2(X4,X5)| ~ p2(X3,X4)| ~ p2(X3,X5) ) ))),
% 0.13/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.84  fof(f8,negated_conjecture,(
% 0.13/0.84    (![X0,X1,X2]: (( p2(X0,X1)| ~ p2(f3(X0,X2),f3(X1,X2)) ) ))),
% 0.13/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.84  fof(f10,negated_conjecture,(
% 0.13/0.84    (![X12,X13,X14]: (p2(f3(X12,f3(X13,X14)),f3(X13,f3(X12,X14))) ))),
% 0.13/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.84  fof(f12,negated_conjecture,(
% 0.13/0.84    p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))) ),
% 0.13/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.84  fof(f14,plain,(
% 0.13/0.84    ![X0]: (p2(X0,X0))),
% 0.13/0.84    inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.84  fof(f16,plain,(
% 0.13/0.84    ~p2(c6,f3(c8,f5(c9)))),
% 0.13/0.84    inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.84  fof(f17,plain,(
% 0.13/0.84    ![X0,X1]: (p2(f3(X0,X1),f3(X1,X0)))),
% 0.13/0.84    inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.84  fof(f19,plain,(
% 0.13/0.84    ![X5,X3]: ((![X4]: (p2(X4,X5)|~p2(X3,X4)))|~p2(X3,X5))),
% 0.13/0.84    inference(miniscoping,[status(thm)],[f6])).
% 0.13/0.84  fof(f20,plain,(
% 0.13/0.84    ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.13/0.84    inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.84  fof(f23,plain,(
% 0.13/0.84    ![X0,X1]: (p2(X0,X1)|(![X2]: ~p2(f3(X0,X2),f3(X1,X2))))),
% 0.13/0.84    inference(miniscoping,[status(thm)],[f8])).
% 0.13/0.84  fof(f24,plain,(
% 0.13/0.84    ![X0,X1,X2]: (p2(X0,X1)|~p2(f3(X0,X2),f3(X1,X2)))),
% 0.13/0.84    inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.84  fof(f27,plain,(
% 0.13/0.84    ![X0,X1,X2]: (p2(f3(X0,f3(X1,X2)),f3(X1,f3(X0,X2))))),
% 0.13/0.84    inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.84  fof(f29,plain,(
% 0.13/0.84    p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9))))),
% 0.13/0.84    inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.84  fof(f34,plain,(
% 0.13/0.84    ![X0,X1,X2,X3]: (p2(X0,X1)|~p2(X2,f3(X0,X3))|~p2(X2,f3(X1,X3)))),
% 0.13/0.84    inference(resolution,[status(thm)],[f24,f20])).
% 0.13/0.84  fof(f42,plain,(
% 0.13/0.84    ![X0,X1]: (~p2(X0,f3(c6,X1))|~p2(X0,f3(f3(c8,f5(c9)),X1)))),
% 0.13/0.84    inference(resolution,[status(thm)],[f34,f16])).
% 0.13/0.84  fof(f62,plain,(
% 0.13/0.84    ![X0,X1,X2]: (~p2(X0,f3(c6,X1))|~p2(X2,X0)|~p2(X2,f3(f3(c8,f5(c9)),X1)))),
% 0.13/0.84    inference(resolution,[status(thm)],[f42,f20])).
% 0.13/0.84  fof(f411,plain,(
% 0.13/0.84    ![X0,X1]: (~p2(X0,f3(c6,X1))|~p2(f3(X1,f3(c8,f5(c9))),X0))),
% 0.13/0.84    inference(resolution,[status(thm)],[f62,f17])).
% 0.13/0.84  fof(f424,plain,(
% 0.13/0.84    ![X0]: (~p2(f3(c8,f3(X0,f5(c9))),f3(c6,X0)))),
% 0.13/0.84    inference(resolution,[status(thm)],[f411,f27])).
% 0.13/0.84  fof(f435,plain,(
% 0.13/0.84    ![X0,X1]: (~p2(X0,f3(c8,f3(X1,f5(c9))))|~p2(X0,f3(c6,X1)))),
% 0.13/0.84    inference(resolution,[status(thm)],[f424,f20])).
% 0.13/0.84  fof(f482,plain,(
% 0.13/0.84    ![X0]: (~p2(f3(c6,X0),f3(c8,f3(X0,f5(c9)))))),
% 0.13/0.84    inference(resolution,[status(thm)],[f435,f14])).
% 0.13/0.84  fof(f508,plain,(
% 0.13/0.84    $false),
% 0.13/0.84    inference(backward_subsumption_resolution,[status(thm)],[f29,f482])).
% 0.13/0.84  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.86  % Elapsed time: 0.278813 seconds
% 0.13/0.86  % CPU time: 1.933733 seconds
% 0.13/0.86  % Total memory used: 80.338 MB
% 0.13/0.86  % Net memory used: 73.153 MB
%------------------------------------------------------------------------------