%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL187-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 01:09:32 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL187-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n007.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 00:07:35 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.49 % Drodi V4.1.1
% 0.23/0.76 % Refutation found
% 0.23/0.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.76 % SZS output start CNFRefutation for theBenchmark
% 0.23/0.76 fof(f2,axiom,(
% 0.23/0.76 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 0.23/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.76 fof(f3,axiom,(
% 0.23/0.76 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 0.23/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.76 fof(f4,axiom,(
% 0.23/0.76 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 0.23/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.76 fof(f5,axiom,(
% 0.23/0.76 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 0.23/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.76 fof(f6,axiom,(
% 0.23/0.76 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 0.23/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.76 fof(f7,axiom,(
% 0.23/0.76 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.23/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.76 fof(f8,axiom,(
% 0.23/0.76 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 0.23/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.76 fof(f9,negated_conjecture,(
% 0.23/0.76 ~ theorem(implies(p,implies(not(p),q))) ),
% 0.23/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.76 fof(f11,plain,(
% 0.23/0.76 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 0.23/0.76 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.76 fof(f12,plain,(
% 0.23/0.76 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 0.23/0.76 inference(cnf_transformation,[status(thm)],[f3])).
% 0.23/0.76 fof(f13,plain,(
% 0.23/0.76 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.23/0.76 inference(cnf_transformation,[status(thm)],[f4])).
% 0.23/0.76 fof(f14,plain,(
% 0.23/0.76 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 0.23/0.76 inference(cnf_transformation,[status(thm)],[f5])).
% 0.23/0.76 fof(f15,plain,(
% 0.23/0.76 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.23/0.76 inference(cnf_transformation,[status(thm)],[f6])).
% 0.23/0.76 fof(f16,plain,(
% 0.23/0.76 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.23/0.76 inference(cnf_transformation,[status(thm)],[f7])).
% 0.23/0.76 fof(f17,plain,(
% 0.23/0.76 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 0.23/0.76 inference(miniscoping,[status(thm)],[f8])).
% 0.23/0.76 fof(f18,plain,(
% 0.23/0.76 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 0.23/0.76 inference(cnf_transformation,[status(thm)],[f17])).
% 0.23/0.76 fof(f19,plain,(
% 0.23/0.76 ~theorem(implies(p,implies(not(p),q)))),
% 0.23/0.76 inference(cnf_transformation,[status(thm)],[f9])).
% 0.23/0.76 fof(f27,plain,(
% 0.23/0.76 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 0.23/0.76 inference(resolution,[status(thm)],[f11,f16])).
% 0.23/0.76 fof(f32,plain,(
% 0.23/0.76 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 0.23/0.76 inference(resolution,[status(thm)],[f12,f16])).
% 0.23/0.76 fof(f35,plain,(
% 0.23/0.76 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.23/0.76 inference(resolution,[status(thm)],[f13,f16])).
% 0.23/0.76 fof(f44,plain,(
% 0.23/0.76 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 0.23/0.76 inference(resolution,[status(thm)],[f14,f16])).
% 0.23/0.76 fof(f51,plain,(
% 0.23/0.76 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 0.23/0.76 inference(paramodulation,[status(thm)],[f15,f32])).
% 0.23/0.76 fof(f58,plain,(
% 0.23/0.76 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 0.23/0.76 inference(paramodulation,[status(thm)],[f15,f35])).
% 0.23/0.76 fof(f62,plain,(
% 0.23/0.76 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 0.23/0.76 inference(forward_demodulation,[status(thm)],[f15,f58])).
% 0.23/0.76 fof(f79,plain,(
% 0.23/0.76 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 0.23/0.76 inference(resolution,[status(thm)],[f44,f18])).
% 0.23/0.76 fof(f101,plain,(
% 0.23/0.76 ![X0,X1,X2]: (theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))))),
% 0.23/0.76 inference(paramodulation,[status(thm)],[f15,f62])).
% 0.23/0.76 fof(f103,plain,(
% 0.23/0.76 ![X0,X1,X2]: (theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 0.23/0.76 inference(forward_demodulation,[status(thm)],[f15,f101])).
% 0.23/0.76 fof(f112,plain,(
% 0.23/0.76 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 0.23/0.76 inference(resolution,[status(thm)],[f79,f18])).
% 0.23/0.76 fof(f118,plain,(
% 0.23/0.76 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X1,implies(X0,X2))))),
% 0.23/0.76 inference(resolution,[status(thm)],[f103,f18])).
% 0.23/0.76 fof(f157,plain,(
% 0.23/0.76 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(not(X2),X1))|~theorem(implies(X2,X0)))),
% 0.23/0.77 inference(paramodulation,[status(thm)],[f15,f112])).
% 0.23/0.77 fof(f158,plain,(
% 0.23/0.77 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 0.23/0.77 inference(forward_demodulation,[status(thm)],[f15,f157])).
% 0.23/0.77 fof(f162,plain,(
% 0.23/0.77 ~theorem(implies(not(p),implies(p,q)))),
% 0.23/0.77 inference(resolution,[status(thm)],[f118,f19])).
% 0.23/0.77 fof(f311,plain,(
% 0.23/0.77 ![X0]: (~theorem(implies(X0,implies(p,q)))|~theorem(implies(not(p),X0)))),
% 0.23/0.77 inference(resolution,[status(thm)],[f158,f162])).
% 0.23/0.77 fof(f405,plain,(
% 0.23/0.77 ~theorem(implies(not(p),or(q,not(p))))),
% 0.23/0.77 inference(resolution,[status(thm)],[f311,f51])).
% 0.23/0.77 fof(f415,plain,(
% 0.23/0.77 $false),
% 0.23/0.77 inference(forward_subsumption_resolution,[status(thm)],[f405,f27])).
% 0.23/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.81 % Elapsed time: 0.315672 seconds
% 0.23/0.81 % CPU time: 2.092224 seconds
% 0.23/0.81 % Total memory used: 90.546 MB
% 0.23/0.81 % Net memory used: 88.074 MB
%------------------------------------------------------------------------------