%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN312-1 : TPTP v9.3.1. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 03:19:19 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN312-1 : TPTP v9.3.1. Bugfixed v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 10:49:33 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.44 fof(f1,negated_conjecture,(
% 0.14/0.44 (![X,X3,X2,X1]: (( p(X,X3,X2)| ~ p(X,X1,X2)| ~ p(X1,X3,X2) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f2,negated_conjecture,(
% 0.14/0.44 (![X2,X1,X]: (( p(X2,X1,X)| ~ p(X,X1,X2) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f3,negated_conjecture,(
% 0.14/0.44 (![X1,X,X2]: (( p(X1,X,X2)| ~ p(X,X1,X2) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f4,negated_conjecture,(
% 0.14/0.44 (![X,X1,X2]: (( p(X,X1,f(X2))| ~ p(X,X1,X2) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f5,negated_conjecture,(
% 0.14/0.44 (![X,X1,X2]: (( p(g(X),X1,X2)| ~ p(X,X1,X2) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f6,negated_conjecture,(
% 0.14/0.44 p(a,f(b),c) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f7,negated_conjecture,(
% 0.14/0.44 p(f(b),d,c) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f8,negated_conjecture,(
% 0.14/0.44 ~ p(f(g(a)),f(g(d)),f(g(c))) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f9,plain,(
% 0.14/0.44 ![X3,X2,X1]: ((![X]: (p(X,X3,X2)|~p(X,X1,X2)))|~p(X1,X3,X2))),
% 0.14/0.44 inference(miniscoping,[status(thm)],[f1])).
% 0.14/0.44 fof(f10,plain,(
% 0.14/0.44 ![X0,X1,X2,X3]: (p(X0,X1,X2)|~p(X0,X3,X2)|~p(X3,X1,X2))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.44 fof(f11,plain,(
% 0.14/0.44 ![X0,X1,X2]: (p(X0,X1,X2)|~p(X2,X1,X0))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.44 fof(f12,plain,(
% 0.14/0.44 ![X0,X1,X2]: (p(X0,X1,X2)|~p(X1,X0,X2))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.44 fof(f13,plain,(
% 0.14/0.44 ![X0,X1,X2]: (p(X0,X1,f(X2))|~p(X0,X1,X2))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.44 fof(f14,plain,(
% 0.14/0.44 ![X0,X1,X2]: (p(g(X0),X1,X2)|~p(X0,X1,X2))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.44 fof(f15,plain,(
% 0.14/0.44 p(a,f(b),c)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.44 fof(f16,plain,(
% 0.14/0.44 p(f(b),d,c)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.44 fof(f17,plain,(
% 0.14/0.44 ~p(f(g(a)),f(g(d)),f(g(c)))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.44 fof(f26,plain,(
% 0.14/0.44 ![X0,X1,X2,X3]: (~p(X0,X1,X2)|~p(X1,X3,X2)|p(X3,X0,X2))),
% 0.14/0.44 inference(resolution,[status(thm)],[f10,f12])).
% 0.14/0.44 fof(f40,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~p(X0,X1,X2)|p(X1,X0,f(X2)))),
% 0.14/0.44 inference(resolution,[status(thm)],[f13,f12])).
% 0.14/0.44 fof(f46,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~p(X0,X1,X2)|p(X1,g(X0),X2))),
% 0.14/0.44 inference(resolution,[status(thm)],[f14,f12])).
% 0.14/0.44 fof(f49,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~p(X0,X1,X2)|p(f(X2),X0,X1))),
% 0.14/0.44 inference(resolution,[status(thm)],[f40,f11])).
% 0.14/0.44 fof(f51,plain,(
% 0.14/0.44 ~p(f(g(a)),f(g(d)),g(c))),
% 0.14/0.44 inference(resolution,[status(thm)],[f17,f13])).
% 0.14/0.44 fof(f57,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~p(X0,X1,X2)|p(X2,g(X0),X1))),
% 0.14/0.44 inference(resolution,[status(thm)],[f46,f11])).
% 0.14/0.44 fof(f66,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~p(X0,X1,X2)|p(g(X0),X2,X1))),
% 0.14/0.44 inference(resolution,[status(thm)],[f57,f12])).
% 0.14/0.44 fof(f70,plain,(
% 0.14/0.44 ![X0,X1,X2,X3]: (~p(X0,X1,X2)|~p(X1,X3,X2)|p(X2,X0,X3))),
% 0.14/0.44 inference(resolution,[status(thm)],[f26,f11])).
% 0.14/0.44 fof(f81,plain,(
% 0.14/0.44 ~p(f(g(d)),g(c),g(a))),
% 0.14/0.44 inference(resolution,[status(thm)],[f51,f49])).
% 0.14/0.44 fof(f92,plain,(
% 0.14/0.44 ![X0,X1,X2,X3]: (~p(X0,X1,X2)|~p(X1,X3,X2)|p(X0,X2,X3))),
% 0.14/0.44 inference(resolution,[status(thm)],[f70,f12])).
% 0.14/0.44 fof(f102,plain,(
% 0.14/0.44 ~p(g(c),g(a),g(d))),
% 0.14/0.44 inference(resolution,[status(thm)],[f81,f49])).
% 0.14/0.44 fof(f114,plain,(
% 0.14/0.44 ~p(c,g(d),g(a))),
% 0.14/0.44 inference(resolution,[status(thm)],[f102,f66])).
% 0.14/0.44 fof(f140,plain,(
% 0.14/0.44 ~p(d,g(a),c)),
% 0.14/0.44 inference(resolution,[status(thm)],[f114,f57])).
% 0.14/0.44 fof(f150,plain,(
% 0.14/0.44 ~p(a,c,d)),
% 0.14/0.44 inference(resolution,[status(thm)],[f140,f57])).
% 0.14/0.44 fof(f158,plain,(
% 0.14/0.44 ![X0]: (~p(a,X0,c)|~p(X0,d,c))),
% 0.14/0.44 inference(resolution,[status(thm)],[f150,f92])).
% 0.14/0.44 fof(f500,plain,(
% 0.14/0.44 ~p(f(b),d,c)),
% 0.14/0.44 inference(resolution,[status(thm)],[f158,f15])).
% 0.14/0.44 fof(f511,plain,(
% 0.14/0.44 $false),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f500,f16])).
% 0.14/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.48 % Elapsed time: 0.100583 seconds
% 0.14/0.48 % CPU time: 0.420149 seconds
% 0.14/0.48 % Total memory used: 62.320 MB
% 0.14/0.48 % Net memory used: 61.255 MB
%------------------------------------------------------------------------------