%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL174-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 01:09:29 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL174-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:08:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f4,axiom,(
% 0.09/0.40 (![A,B,C]: (axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,axiom,(
% 0.09/0.40 (![A,B,C]: (axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f6,axiom,(
% 0.09/0.40 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f7,axiom,(
% 0.09/0.40 (![X,Y]: (( theorem(X)| ~ axiom(or(not(Y),X))| ~ theorem(Y) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f9,negated_conjecture,(
% 0.09/0.40 ~ theorem(or(not(or(not(p),q)),or(not(or(not(q),r)),or(not(p),r)))) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f13,plain,(
% 0.09/0.40 ![X0,X1,X2]: (axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f14,plain,(
% 0.09/0.40 ![X0,X1,X2]: (axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f15,plain,(
% 0.09/0.40 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.40 fof(f16,plain,(
% 0.09/0.40 ![Y]: ((![X]: (theorem(X)|~axiom(or(not(Y),X))))|~theorem(Y))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f7])).
% 0.09/0.40 fof(f17,plain,(
% 0.09/0.40 ![X0,X1]: (theorem(X0)|~axiom(or(not(X1),X0))|~theorem(X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.40 fof(f20,plain,(
% 0.09/0.40 ~theorem(or(not(or(not(p),q)),or(not(or(not(q),r)),or(not(p),r))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.40 fof(f21,plain,(
% 0.09/0.40 ![X0,X1]: (theorem(X0)|~axiom(or(not(X1),X0))|~axiom(X1))),
% 0.09/0.40 inference(resolution,[status(thm)],[f17,f15])).
% 0.09/0.40 fof(f25,plain,(
% 0.09/0.40 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~axiom(or(X1,or(X0,X2))))),
% 0.09/0.40 inference(resolution,[status(thm)],[f21,f13])).
% 0.09/0.40 fof(f34,plain,(
% 0.09/0.40 ~axiom(or(not(or(not(q),r)),or(not(or(not(p),q)),or(not(p),r))))),
% 0.09/0.40 inference(resolution,[status(thm)],[f25,f20])).
% 0.09/0.40 fof(f37,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f34,f14])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.044970 seconds
% 0.09/0.41 % CPU time: 0.137911 seconds
% 0.09/0.41 % Total memory used: 47.372 MB
% 0.09/0.41 % Net memory used: 46.972 MB
%------------------------------------------------------------------------------