%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL224-1 : 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 : n005.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 01:09:39 PM UTC 2026
% Result : Unsatisfiable 0.32s 0.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL224-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n005.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 00:12:19 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.32/0.73 % Refutation found
% 0.32/0.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.32/0.73 % SZS output start CNFRefutation for theBenchmark
% 0.32/0.73 fof(f1,axiom,(
% 0.32/0.73 (![A]: (axiom(or(not(or(A,A)),A)) ))),
% 0.32/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.32/0.73 fof(f2,axiom,(
% 0.32/0.73 (![A,B]: (axiom(or(not(A),or(B,A))) ))),
% 0.32/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.32/0.73 fof(f3,axiom,(
% 0.32/0.73 (![A,B]: (axiom(or(not(or(A,B)),or(B,A))) ))),
% 0.32/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.32/0.73 fof(f4,axiom,(
% 0.32/0.73 (![A,B,C]: (axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ))),
% 0.32/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.32/0.73 fof(f5,axiom,(
% 0.32/0.73 (![A,B,C]: (axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) ))),
% 0.32/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.32/0.73 fof(f6,axiom,(
% 0.32/0.73 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.32/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.32/0.73 fof(f7,axiom,(
% 0.32/0.73 (![X,Y]: (( theorem(X)| ~ axiom(or(not(Y),X))| ~ theorem(Y) ) ))),
% 0.32/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.32/0.73 fof(f8,axiom,(
% 0.32/0.73 (![X,Z,Y]: (( theorem(or(not(X),Z))| ~ axiom(or(not(X),Y))| ~ theorem(or(not(Y),Z)) ) ))),
% 0.32/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.32/0.73 fof(f9,negated_conjecture,(
% 0.32/0.73 ~ theorem(or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r)))) ),
% 0.32/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.32/0.73 fof(f10,plain,(
% 0.32/0.73 ![X0]: (axiom(or(not(or(X0,X0)),X0)))),
% 0.32/0.73 inference(cnf_transformation,[status(thm)],[f1])).
% 0.32/0.73 fof(f11,plain,(
% 0.32/0.73 ![X0,X1]: (axiom(or(not(X0),or(X1,X0))))),
% 0.32/0.73 inference(cnf_transformation,[status(thm)],[f2])).
% 0.32/0.73 fof(f12,plain,(
% 0.32/0.73 ![X0,X1]: (axiom(or(not(or(X0,X1)),or(X1,X0))))),
% 0.32/0.73 inference(cnf_transformation,[status(thm)],[f3])).
% 0.32/0.73 fof(f13,plain,(
% 0.32/0.73 ![X0,X1,X2]: (axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))))),
% 0.32/0.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.32/0.73 fof(f14,plain,(
% 0.32/0.73 ![X0,X1,X2]: (axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))))),
% 0.32/0.73 inference(cnf_transformation,[status(thm)],[f5])).
% 0.32/0.73 fof(f15,plain,(
% 0.32/0.73 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.32/0.73 inference(cnf_transformation,[status(thm)],[f6])).
% 0.32/0.73 fof(f16,plain,(
% 0.32/0.73 ![Y]: ((![X]: (theorem(X)|~axiom(or(not(Y),X))))|~theorem(Y))),
% 0.32/0.73 inference(miniscoping,[status(thm)],[f7])).
% 0.32/0.73 fof(f17,plain,(
% 0.32/0.73 ![X0,X1]: (theorem(X0)|~axiom(or(not(X1),X0))|~theorem(X1))),
% 0.32/0.73 inference(cnf_transformation,[status(thm)],[f16])).
% 0.32/0.73 fof(f18,plain,(
% 0.32/0.73 ![Z,Y]: ((![X]: (theorem(or(not(X),Z))|~axiom(or(not(X),Y))))|~theorem(or(not(Y),Z)))),
% 0.32/0.73 inference(miniscoping,[status(thm)],[f8])).
% 0.32/0.73 fof(f19,plain,(
% 0.32/0.73 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),X2))|~theorem(or(not(X2),X1)))),
% 0.32/0.73 inference(cnf_transformation,[status(thm)],[f18])).
% 0.32/0.73 fof(f20,plain,(
% 0.32/0.73 ~theorem(or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r))))),
% 0.32/0.73 inference(cnf_transformation,[status(thm)],[f9])).
% 0.32/0.73 fof(f21,plain,(
% 0.32/0.73 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 0.32/0.73 inference(resolution,[status(thm)],[f10,f17])).
% 0.32/0.73 fof(f36,plain,(
% 0.32/0.73 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 0.32/0.73 inference(resolution,[status(thm)],[f11,f17])).
% 0.32/0.73 fof(f47,plain,(
% 0.32/0.73 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 0.32/0.73 inference(resolution,[status(thm)],[f12,f17])).
% 0.32/0.73 fof(f48,plain,(
% 0.32/0.73 ![X0,X1]: (theorem(or(not(or(X0,X1)),or(X1,X0))))),
% 0.32/0.73 inference(resolution,[status(thm)],[f12,f15])).
% 0.32/0.73 fof(f50,plain,(
% 0.32/0.73 ![X0,X1,X2]: (~theorem(or(X0,not(X1)))|theorem(or(not(X2),X0))|~axiom(or(not(X2),X1)))),
% 0.32/0.73 inference(resolution,[status(thm)],[f47,f19])).
% 0.32/0.73 fof(f52,plain,(
% 0.32/0.73 ![X0,X1,X2]: (theorem(or(not(X0),or(X1,X2)))|~axiom(or(not(X0),or(X2,X1))))),
% 0.32/0.73 inference(resolution,[status(thm)],[f48,f19])).
% 0.32/0.73 fof(f63,plain,(
% 0.32/0.73 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 0.32/0.73 inference(resolution,[status(thm)],[f13,f17])).
% 0.32/0.73 fof(f65,plain,(
% 0.32/0.73 ![X0,X1,X2]: (theorem(or(not(or(X0,X1)),or(X0,X2)))|~theorem(or(not(X1),X2)))),
% 0.32/0.73 inference(resolution,[status(thm)],[f14,f17])).
% 0.32/0.73 fof(f69,plain,(
% 0.32/0.73 ![X0,X1,X2,X3]: (~theorem(or(X0,or(not(X1),X2)))|theorem(or(not(X3),or(X0,X2)))|~axiom(or(not(X3),X1)))),
% 0.32/0.73 inference(resolution,[status(thm)],[f63,f19])).
% 0.32/0.73 fof(f70,plain,(
% 0.32/0.73 ![X0,X1]: (~theorem(or(X0,or(or(X0,X1),X1)))|theorem(or(X0,X1)))),
% 0.32/0.74 inference(resolution,[status(thm)],[f63,f21])).
% 0.32/0.74 fof(f86,plain,(
% 0.32/0.74 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(or(X0,X1),X1)))),
% 0.32/0.74 inference(resolution,[status(thm)],[f70,f36])).
% 0.32/0.74 fof(f88,plain,(
% 0.32/0.74 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,or(X0,X1))))),
% 0.32/0.74 inference(resolution,[status(thm)],[f86,f47])).
% 0.32/0.74 fof(f90,plain,(
% 0.32/0.74 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X0,or(X1,X1))))),
% 0.32/0.74 inference(resolution,[status(thm)],[f88,f63])).
% 0.32/0.74 fof(f111,plain,(
% 0.32/0.74 ![X0,X1,X2,X3]: (~theorem(or(not(X0),X1))|theorem(or(not(X2),or(X3,X1)))|~axiom(or(not(X2),or(X3,X0))))),
% 0.32/0.74 inference(resolution,[status(thm)],[f65,f19])).
% 0.32/0.74 fof(f112,plain,(
% 0.32/0.74 ![X0,X1]: (~theorem(or(not(X0),X1))|theorem(or(not(or(X1,X0)),X1)))),
% 0.32/0.74 inference(resolution,[status(thm)],[f65,f90])).
% 0.32/0.74 fof(f186,plain,(
% 0.32/0.74 ![X0,X1,X2,X3]: (~theorem(or(X0,not(or(X1,or(X2,X3)))))|theorem(or(not(or(X2,or(X1,X3))),X0)))),
% 0.32/0.74 inference(resolution,[status(thm)],[f50,f13])).
% 0.32/0.74 fof(f256,plain,(
% 0.32/0.74 ![X0,X1]: (theorem(or(not(X0),or(X0,X1))))),
% 0.32/0.74 inference(resolution,[status(thm)],[f52,f11])).
% 0.32/0.74 fof(f259,plain,(
% 0.32/0.74 ![X0,X1,X2,X3]: (~theorem(or(X0,or(not(or(X1,X2)),X3)))|theorem(or(not(or(X2,X1)),or(X0,X3))))),
% 0.32/0.74 inference(resolution,[status(thm)],[f69,f12])).
% 0.32/0.74 fof(f321,plain,(
% 0.32/0.74 ![X0,X1,X2,X3]: (~theorem(or(not(or(X0,X1)),X2))|theorem(or(not(or(not(X3),X1)),or(not(or(X0,X3)),X2))))),
% 0.32/0.74 inference(resolution,[status(thm)],[f111,f14])).
% 0.32/0.74 fof(f614,plain,(
% 0.32/0.74 ~theorem(or(or(not(or(p,q)),or(p,r)),not(or(not(q),or(p,r)))))),
% 0.32/0.74 inference(resolution,[status(thm)],[f186,f20])).
% 0.32/0.74 fof(f970,plain,(
% 0.32/0.74 ~theorem(or(not(or(not(q),or(p,r))),or(not(or(p,q)),or(p,r))))),
% 0.32/0.74 inference(resolution,[status(thm)],[f614,f47])).
% 0.32/0.74 fof(f2399,plain,(
% 0.32/0.74 ~theorem(or(not(or(p,or(p,r))),or(p,r)))),
% 0.32/0.74 inference(resolution,[status(thm)],[f970,f321])).
% 0.32/0.74 fof(f2415,plain,(
% 0.32/0.74 ~theorem(or(p,or(not(or(or(p,r),p)),r)))),
% 0.32/0.74 inference(resolution,[status(thm)],[f2399,f259])).
% 0.32/0.74 fof(f2778,plain,(
% 0.32/0.74 ~theorem(or(not(or(or(p,r),p)),or(p,r)))),
% 0.32/0.74 inference(resolution,[status(thm)],[f2415,f63])).
% 0.32/0.74 fof(f3070,plain,(
% 0.32/0.74 ~theorem(or(not(p),or(p,r)))),
% 0.32/0.74 inference(resolution,[status(thm)],[f2778,f112])).
% 0.32/0.74 fof(f3078,plain,(
% 0.32/0.74 $false),
% 0.32/0.74 inference(forward_subsumption_resolution,[status(thm)],[f3070,f256])).
% 0.32/0.74 % SZS output end CNFRefutation for theBenchmark.p
% 0.32/0.77 % Elapsed time: 0.320450 seconds
% 0.32/0.77 % CPU time: 2.251683 seconds
% 0.32/0.77 % Total memory used: 91.728 MB
% 0.32/0.77 % Net memory used: 88.983 MB
%------------------------------------------------------------------------------