%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL320-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 01:09:49 PM UTC 2026
% Result : Unsatisfiable 9.14s 1.69s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL320-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n015.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 00:24:21 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 9.14/1.69 % Refutation found
% 9.14/1.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.14/1.69 % SZS output start CNFRefutation for theBenchmark
% 9.14/1.69 fof(f1,axiom,(
% 9.14/1.69 (![A]: (axiom(implies(or(A,A),A)) ))),
% 9.14/1.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.14/1.69 fof(f2,axiom,(
% 9.14/1.69 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 9.14/1.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.14/1.69 fof(f3,axiom,(
% 9.14/1.69 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 9.14/1.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.14/1.69 fof(f4,axiom,(
% 9.14/1.69 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 9.14/1.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.14/1.69 fof(f5,axiom,(
% 9.14/1.69 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 9.14/1.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.14/1.69 fof(f6,axiom,(
% 9.14/1.69 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 9.14/1.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.14/1.69 fof(f7,axiom,(
% 9.14/1.69 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 9.14/1.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.14/1.69 fof(f8,axiom,(
% 9.14/1.69 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 9.14/1.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.14/1.69 fof(f9,negated_conjecture,(
% 9.14/1.69 ~ theorem(or(implies(p,q),implies(not(p),q))) ),
% 9.14/1.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.14/1.69 fof(f10,plain,(
% 9.14/1.69 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 9.14/1.69 inference(cnf_transformation,[status(thm)],[f1])).
% 9.14/1.69 fof(f11,plain,(
% 9.14/1.69 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 9.14/1.69 inference(cnf_transformation,[status(thm)],[f2])).
% 9.14/1.69 fof(f12,plain,(
% 9.14/1.69 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 9.14/1.69 inference(cnf_transformation,[status(thm)],[f3])).
% 9.14/1.69 fof(f13,plain,(
% 9.14/1.69 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 9.14/1.69 inference(cnf_transformation,[status(thm)],[f4])).
% 9.14/1.69 fof(f14,plain,(
% 9.14/1.69 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 9.14/1.69 inference(cnf_transformation,[status(thm)],[f5])).
% 9.14/1.69 fof(f15,plain,(
% 9.14/1.69 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 9.14/1.69 inference(cnf_transformation,[status(thm)],[f6])).
% 9.14/1.69 fof(f16,plain,(
% 9.14/1.69 ![X0]: (theorem(X0)|~axiom(X0))),
% 9.14/1.69 inference(cnf_transformation,[status(thm)],[f7])).
% 9.14/1.69 fof(f17,plain,(
% 9.14/1.69 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 9.14/1.69 inference(miniscoping,[status(thm)],[f8])).
% 9.14/1.69 fof(f18,plain,(
% 9.14/1.69 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 9.14/1.69 inference(cnf_transformation,[status(thm)],[f17])).
% 9.14/1.69 fof(f19,plain,(
% 9.14/1.69 ~theorem(or(implies(p,q),implies(not(p),q)))),
% 9.14/1.69 inference(cnf_transformation,[status(thm)],[f9])).
% 9.14/1.69 fof(f20,plain,(
% 9.14/1.69 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 9.14/1.69 inference(resolution,[status(thm)],[f10,f16])).
% 9.14/1.69 fof(f21,plain,(
% 9.14/1.69 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 9.14/1.69 inference(resolution,[status(thm)],[f11,f16])).
% 9.14/1.69 fof(f22,plain,(
% 9.14/1.69 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 9.14/1.69 inference(resolution,[status(thm)],[f12,f16])).
% 9.14/1.69 fof(f23,plain,(
% 9.14/1.69 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 9.14/1.69 inference(resolution,[status(thm)],[f13,f16])).
% 9.14/1.69 fof(f24,plain,(
% 9.14/1.69 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 9.14/1.69 inference(resolution,[status(thm)],[f14,f16])).
% 9.14/1.69 fof(f43,plain,(
% 9.14/1.69 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 9.14/1.69 inference(resolution,[status(thm)],[f18,f20])).
% 9.14/1.69 fof(f44,plain,(
% 9.14/1.69 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 9.14/1.69 inference(resolution,[status(thm)],[f18,f21])).
% 9.14/1.69 fof(f47,plain,(
% 9.14/1.69 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 9.14/1.69 inference(resolution,[status(thm)],[f22,f18])).
% 9.14/1.69 fof(f49,plain,(
% 9.14/1.69 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 9.14/1.69 inference(paramodulation,[status(thm)],[f15,f22])).
% 9.14/1.69 fof(f51,plain,(
% 9.14/1.69 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 9.14/1.69 inference(resolution,[status(thm)],[f23,f18])).
% 9.14/1.69 fof(f65,plain,(
% 9.14/1.69 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 9.14/1.69 inference(resolution,[status(thm)],[f24,f18])).
% 9.14/1.69 fof(f82,plain,(
% 9.14/1.69 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 9.14/1.69 inference(paramodulation,[status(thm)],[f15,f47])).
% 9.14/1.69 fof(f296,plain,(
% 5.10/1.73 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1)))))),
% 5.10/1.73 inference(resolution,[status(thm)],[f65,f22])).
% 5.10/1.73 fof(f298,plain,(
% 5.10/1.73 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,or(X2,X1)))))),
% 5.10/1.73 inference(resolution,[status(thm)],[f65,f21])).
% 5.10/1.73 fof(f309,plain,(
% 5.10/1.73 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 5.10/1.73 inference(paramodulation,[status(thm)],[f15,f51])).
% 5.10/1.73 fof(f311,plain,(
% 5.10/1.73 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 5.10/1.73 inference(forward_demodulation,[status(thm)],[f15,f309])).
% 5.10/1.73 fof(f384,plain,(
% 5.10/1.73 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,not(X2))),or(X0,implies(X2,X1)))))),
% 5.10/1.73 inference(resolution,[status(thm)],[f49,f65])).
% 5.10/1.73 fof(f546,plain,(
% 5.10/1.73 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X0,or(X2,X1))))),
% 5.10/1.73 inference(resolution,[status(thm)],[f296,f18])).
% 5.10/1.73 fof(f587,plain,(
% 5.10/1.73 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X0,X2)))),
% 5.10/1.73 inference(resolution,[status(thm)],[f298,f18])).
% 5.10/1.73 fof(f619,plain,(
% 5.10/1.73 ![X0,X1]: (theorem(or(X0,implies(X1,X1))))),
% 5.10/1.73 inference(resolution,[status(thm)],[f311,f21])).
% 5.10/1.73 fof(f623,plain,(
% 5.10/1.73 ![X0]: (theorem(implies(X0,X0)))),
% 5.10/1.73 inference(resolution,[status(thm)],[f619,f43])).
% 5.10/1.73 fof(f641,plain,(
% 5.10/1.73 ![X0]: (theorem(or(X0,not(X0))))),
% 5.10/1.73 inference(resolution,[status(thm)],[f623,f82])).
% 5.10/1.73 fof(f665,plain,(
% 5.10/1.73 ![X0,X1]: (theorem(or(X0,or(X1,not(X1)))))),
% 5.10/1.73 inference(resolution,[status(thm)],[f641,f44])).
% 5.10/1.73 fof(f828,plain,(
% 5.10/1.73 ![X0,X1]: (theorem(or(X0,or(X1,not(X0)))))),
% 5.10/1.73 inference(resolution,[status(thm)],[f665,f51])).
% 5.10/1.73 fof(f949,plain,(
% 5.10/1.73 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(or(X0,or(X2,not(X1)))))),
% 5.10/1.73 inference(resolution,[status(thm)],[f384,f18])).
% 5.10/1.73 fof(f7293,plain,(
% 5.10/1.73 ![X0,X1]: (theorem(or(X0,implies(X0,X1))))),
% 5.10/1.73 inference(resolution,[status(thm)],[f949,f828])).
% 5.10/1.73 fof(f7301,plain,(
% 5.10/1.73 ![X0,X1]: (theorem(or(implies(X0,X1),X0)))),
% 5.10/1.73 inference(resolution,[status(thm)],[f7293,f47])).
% 5.10/1.73 fof(f8289,plain,(
% 5.10/1.73 ![X0,X1,X2]: (theorem(or(implies(X0,X1),or(X2,X0))))),
% 5.10/1.73 inference(resolution,[status(thm)],[f587,f7301])).
% 5.10/1.73 fof(f9096,plain,(
% 5.10/1.73 ![X0,X1,X2]: (theorem(or(implies(X0,X1),or(X0,X2))))),
% 5.10/1.73 inference(resolution,[status(thm)],[f8289,f546])).
% 5.10/1.73 fof(f9539,plain,(
% 5.10/1.73 ![X0,X1,X2]: (theorem(or(or(X0,X1),implies(X0,X2))))),
% 5.10/1.73 inference(resolution,[status(thm)],[f9096,f47])).
% 5.10/1.73 fof(f10817,plain,(
% 5.10/1.73 ![X0,X1,X2]: (theorem(or(implies(X0,X1),implies(not(X0),X2))))),
% 5.10/1.73 inference(paramodulation,[status(thm)],[f15,f9539])).
% 5.10/1.73 fof(f10819,plain,(
% 5.10/1.73 $false),
% 5.10/1.73 inference(backward_subsumption_resolution,[status(thm)],[f19,f10817])).
% 5.10/1.73 % SZS output end CNFRefutation for theBenchmark.p
% 5.10/1.74 % Elapsed time: 1.292831 seconds
% 5.10/1.74 % CPU time: 9.975706 seconds
% 5.10/1.74 % Total memory used: 155.093 MB
% 5.10/1.74 % Net memory used: 146.719 MB
%------------------------------------------------------------------------------