%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL222-1 : 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 : n008.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 01:09:38 PM UTC 2026
% Result : Unsatisfiable 17.86s 23.15s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL222-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/20.82 % Computer : n008.cluster.edu
% 0.12/20.82 % Model : x86_64 x86_64
% 0.12/20.82 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/20.82 % Memory : 8046.5625MB
% 0.12/20.82 % OS : Linux 6.8.0-71-generic
% 0.12/20.82 % CPULimit : 300
% 0.12/20.82 % WCLimit : 300
% 0.12/20.82 % DateTime : Mon Sep 21 00:13:21 UTC 2026
% 0.12/20.82 % CPUTime :
% 0.12/20.84 % Drodi V4.1.1
% 17.86/23.15 % Refutation found
% 17.86/23.15 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 17.86/23.15 % SZS output start CNFRefutation for theBenchmark
% 17.86/23.15 fof(f1,axiom,(
% 17.86/23.15 (![A]: (axiom(or(not(or(A,A)),A)) ))),
% 17.86/23.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.86/23.15 fof(f2,axiom,(
% 17.86/23.15 (![A,B]: (axiom(or(not(A),or(B,A))) ))),
% 17.86/23.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.86/23.15 fof(f3,axiom,(
% 17.86/23.15 (![A,B]: (axiom(or(not(or(A,B)),or(B,A))) ))),
% 17.86/23.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.86/23.15 fof(f4,axiom,(
% 17.86/23.15 (![A,B,C]: (axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ))),
% 17.86/23.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.86/23.15 fof(f5,axiom,(
% 17.86/23.15 (![A,B,C]: (axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) ))),
% 17.86/23.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.86/23.15 fof(f6,axiom,(
% 17.86/23.15 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 17.86/23.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.86/23.15 fof(f7,axiom,(
% 17.86/23.15 (![X,Y]: (( theorem(X)| ~ axiom(or(not(Y),X))| ~ theorem(Y) ) ))),
% 17.86/23.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.86/23.16 fof(f8,axiom,(
% 17.86/23.16 (![X,Z,Y]: (( theorem(or(not(X),Z))| ~ axiom(or(not(X),Y))| ~ theorem(or(not(Y),Z)) ) ))),
% 17.86/23.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.86/23.16 fof(f9,negated_conjecture,(
% 17.86/23.16 ~ theorem(or(not(or(not(q),p)),or(not(or(or(p,q),r)),or(p,r)))) ),
% 17.86/23.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.86/23.16 fof(f10,plain,(
% 17.86/23.16 ![X0]: (axiom(or(not(or(X0,X0)),X0)))),
% 17.86/23.16 inference(cnf_transformation,[status(thm)],[f1])).
% 17.86/23.16 fof(f11,plain,(
% 17.86/23.16 ![X0,X1]: (axiom(or(not(X0),or(X1,X0))))),
% 17.86/23.16 inference(cnf_transformation,[status(thm)],[f2])).
% 17.86/23.16 fof(f12,plain,(
% 17.86/23.16 ![X0,X1]: (axiom(or(not(or(X0,X1)),or(X1,X0))))),
% 17.86/23.16 inference(cnf_transformation,[status(thm)],[f3])).
% 17.86/23.16 fof(f13,plain,(
% 17.86/23.16 ![X0,X1,X2]: (axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))))),
% 17.86/23.16 inference(cnf_transformation,[status(thm)],[f4])).
% 17.86/23.16 fof(f14,plain,(
% 17.86/23.16 ![X0,X1,X2]: (axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))))),
% 17.86/23.16 inference(cnf_transformation,[status(thm)],[f5])).
% 17.86/23.16 fof(f15,plain,(
% 17.86/23.16 ![X0]: (theorem(X0)|~axiom(X0))),
% 17.86/23.16 inference(cnf_transformation,[status(thm)],[f6])).
% 17.86/23.16 fof(f16,plain,(
% 17.86/23.16 ![Y]: ((![X]: (theorem(X)|~axiom(or(not(Y),X))))|~theorem(Y))),
% 17.86/23.16 inference(miniscoping,[status(thm)],[f7])).
% 17.86/23.16 fof(f17,plain,(
% 17.86/23.16 ![X0,X1]: (theorem(X0)|~axiom(or(not(X1),X0))|~theorem(X1))),
% 17.86/23.16 inference(cnf_transformation,[status(thm)],[f16])).
% 17.86/23.16 fof(f18,plain,(
% 17.86/23.16 ![Z,Y]: ((![X]: (theorem(or(not(X),Z))|~axiom(or(not(X),Y))))|~theorem(or(not(Y),Z)))),
% 17.86/23.16 inference(miniscoping,[status(thm)],[f8])).
% 17.86/23.16 fof(f19,plain,(
% 17.86/23.16 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~axiom(or(not(X0),X2))|~theorem(or(not(X2),X1)))),
% 17.86/23.16 inference(cnf_transformation,[status(thm)],[f18])).
% 17.86/23.16 fof(f20,plain,(
% 17.86/23.16 ~theorem(or(not(or(not(q),p)),or(not(or(or(p,q),r)),or(p,r))))),
% 17.86/23.16 inference(cnf_transformation,[status(thm)],[f9])).
% 17.86/23.16 fof(f22,plain,(
% 17.86/23.16 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 17.86/23.16 inference(resolution,[status(thm)],[f10,f17])).
% 17.86/23.16 fof(f26,plain,(
% 17.86/23.16 ![X0,X1,X2]: (theorem(or(not(X0),X1))|~theorem(or(not(or(X2,X0)),X1)))),
% 17.86/23.16 inference(resolution,[status(thm)],[f11,f19])).
% 17.86/23.16 fof(f27,plain,(
% 17.86/23.16 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 17.86/23.16 inference(resolution,[status(thm)],[f11,f17])).
% 17.86/23.16 fof(f32,plain,(
% 17.86/23.16 ![X0,X1,X2]: (theorem(or(not(or(X0,X1)),X2))|~theorem(or(not(or(X1,X0)),X2)))),
% 17.86/23.16 inference(resolution,[status(thm)],[f12,f19])).
% 17.86/23.16 fof(f33,plain,(
% 17.86/23.16 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 17.86/23.16 inference(resolution,[status(thm)],[f12,f17])).
% 17.86/23.16 fof(f34,plain,(
% 17.86/23.16 ![X0,X1]: (theorem(or(not(or(X0,X1)),or(X1,X0))))),
% 17.86/23.16 inference(resolution,[status(thm)],[f12,f15])).
% 17.86/23.16 fof(f40,plain,(
% 17.86/23.16 ![X0,X1,X2,X3]: (theorem(or(not(or(X0,or(X1,X2))),X3))|~theorem(or(not(or(X1,or(X0,X2))),X3)))),
% 17.86/23.16 inference(resolution,[status(thm)],[f13,f19])).
% 17.86/23.16 fof(f41,plain,(
% 17.86/23.16 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 17.86/23.16 inference(resolution,[status(thm)],[f13,f17])).
% 17.86/23.16 fof(f43,plain,(
% 17.86/23.16 ![X0,X1,X2,X3]: (theorem(or(not(or(not(X0),X1)),X2))|~theorem(or(not(or(not(or(X3,X0)),or(X3,X1))),X2)))),
% 17.86/23.16 inference(resolution,[status(thm)],[f14,f19])).
% 17.86/23.16 fof(f44,plain,(
% 17.86/23.16 ![X0,X1,X2]: (theorem(or(not(or(X0,X1)),or(X0,X2)))|~theorem(or(not(X1),X2)))),
% 17.86/23.19 inference(resolution,[status(thm)],[f14,f17])).
% 17.86/23.19 fof(f82,plain,(
% 17.86/23.19 ![X0,X1,X2,X3]: (~theorem(or(not(or(X0,or(X1,X2))),X3))|theorem(or(not(or(X0,X2)),X3)))),
% 17.86/23.19 inference(resolution,[status(thm)],[f40,f26])).
% 17.86/23.19 fof(f111,plain,(
% 17.86/23.19 ~theorem(or(not(or(or(p,q),r)),or(not(or(not(q),p)),or(p,r))))),
% 17.86/23.19 inference(resolution,[status(thm)],[f41,f20])).
% 17.86/23.19 fof(f112,plain,(
% 17.86/23.19 ![X0,X1,X2,X3]: (~theorem(or(X0,or(not(or(X1,X2)),X3)))|theorem(or(not(or(X2,X1)),or(X0,X3))))),
% 17.86/23.19 inference(resolution,[status(thm)],[f41,f32])).
% 17.86/23.19 fof(f114,plain,(
% 17.86/23.19 ![X0,X1,X2]: (~theorem(or(X0,or(X1,X2)))|theorem(or(or(X0,X2),X1)))),
% 17.86/23.19 inference(resolution,[status(thm)],[f41,f33])).
% 17.86/23.19 fof(f115,plain,(
% 17.86/23.19 ![X0,X1]: (~theorem(or(X0,or(or(X0,X1),X1)))|theorem(or(X0,X1)))),
% 17.86/23.19 inference(resolution,[status(thm)],[f41,f22])).
% 17.86/23.19 fof(f141,plain,(
% 17.86/23.19 ![X0,X1,X2,X3]: (~theorem(or(not(or(X0,X1)),X2))|theorem(or(not(or(not(X3),X1)),or(not(or(X0,X3)),X2))))),
% 17.86/23.19 inference(resolution,[status(thm)],[f44,f43])).
% 17.86/23.19 fof(f254,plain,(
% 17.86/23.19 ![X0,X1,X2]: (theorem(or(not(or(X0,X1)),or(or(X2,X1),X0))))),
% 17.86/23.19 inference(resolution,[status(thm)],[f82,f34])).
% 17.86/23.19 fof(f317,plain,(
% 17.86/23.19 ~theorem(or(not(or(not(q),p)),or(not(or(r,or(p,q))),or(p,r))))),
% 17.86/23.19 inference(resolution,[status(thm)],[f112,f111])).
% 17.86/23.19 fof(f392,plain,(
% 17.86/23.19 ![X0,X1,X2,X3]: (~theorem(or(X0,or(X1,X2)))|theorem(or(X3,or(or(X0,X2),X1))))),
% 17.86/23.19 inference(resolution,[status(thm)],[f114,f27])).
% 17.86/23.19 fof(f443,plain,(
% 17.86/23.19 ![X0,X1,X2]: (theorem(or(or(X0,X1),X2))|~theorem(or(X0,or(or(or(or(X0,X1),X2),X2),X1))))),
% 17.86/23.19 inference(resolution,[status(thm)],[f115,f114])).
% 17.86/23.19 fof(f788,plain,(
% 17.86/23.19 ![X0,X1,X2,X3,X4]: (~theorem(or(not(or(X0,or(X1,X2))),X3))|theorem(or(not(or(not(X4),X2)),or(not(or(X0,or(X1,X4))),X3))))),
% 17.86/23.19 inference(resolution,[status(thm)],[f141,f43])).
% 17.86/23.19 fof(f849,plain,(
% 17.86/23.19 ![X0,X1,X2]: (theorem(or(not(or(X0,X1)),or(or(X2,X0),X1))))),
% 17.86/23.19 inference(resolution,[status(thm)],[f254,f32])).
% 17.86/23.19 fof(f3734,plain,(
% 17.86/23.19 ![X0,X1]: (~theorem(or(X0,or(X1,X1)))|theorem(or(X0,X1)))),
% 17.86/23.19 inference(resolution,[status(thm)],[f392,f115])).
% 17.86/23.19 fof(f4019,plain,(
% 17.86/23.19 ![X0,X1]: (theorem(or(or(not(or(X0,X1)),X1),X0)))),
% 17.86/23.19 inference(resolution,[status(thm)],[f443,f849])).
% 17.86/23.19 fof(f4437,plain,(
% 17.86/23.19 ![X0,X1]: (theorem(or(or(not(or(or(X0,X0),X1)),X1),X0)))),
% 17.86/23.19 inference(resolution,[status(thm)],[f4019,f3734])).
% 17.86/23.19 fof(f6448,plain,(
% 17.86/23.19 ![X0,X1]: (theorem(or(X0,or(not(or(or(X0,X0),X1)),X1))))),
% 17.86/23.19 inference(resolution,[status(thm)],[f4437,f33])).
% 17.86/23.19 fof(f9216,plain,(
% 17.86/23.19 ~theorem(or(not(or(r,or(p,p))),or(p,r)))),
% 17.86/23.19 inference(resolution,[status(thm)],[f788,f317])).
% 17.86/23.19 fof(f10347,plain,(
% 17.86/23.19 ~theorem(or(p,or(not(or(or(p,p),r)),r)))),
% 17.86/23.19 inference(resolution,[status(thm)],[f9216,f112])).
% 17.86/23.19 fof(f10350,plain,(
% 17.86/23.19 $false),
% 17.86/23.19 inference(forward_subsumption_resolution,[status(thm)],[f10347,f6448])).
% 17.86/23.19 % SZS output end CNFRefutation for theBenchmark.p
% 1.96/23.22 % Elapsed time: 2.373418 seconds
% 1.96/23.22 % CPU time: 18.467760 seconds
% 1.96/23.22 % Total memory used: 220.685 MB
% 1.96/23.22 % Net memory used: 206.836 MB
%------------------------------------------------------------------------------