%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL234-3 : 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 : n016.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 01:09:41 PM UTC 2026
% Result : Unsatisfiable 102.43s 14.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL234-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n016.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 00:17:52 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.45 % Drodi V4.1.1
% 102.43/14.73 % Refutation found
% 102.43/14.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 102.43/14.73 % SZS output start CNFRefutation for theBenchmark
% 102.43/14.73 fof(f3,axiom,(
% 102.43/14.73 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 102.43/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 102.43/14.73 fof(f4,axiom,(
% 102.43/14.73 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 102.43/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 102.43/14.73 fof(f5,axiom,(
% 102.43/14.73 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 102.43/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 102.43/14.73 fof(f6,axiom,(
% 102.43/14.73 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 102.43/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 102.43/14.73 fof(f7,axiom,(
% 102.43/14.73 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 102.43/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 102.43/14.73 fof(f8,axiom,(
% 102.43/14.73 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 102.43/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 102.43/14.73 fof(f9,axiom,(
% 102.43/14.73 (![P,Q]: (and(P,Q) = not(or(not(P),not(Q))) ))),
% 102.43/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 102.43/14.73 fof(f10,negated_conjecture,(
% 102.43/14.73 ~ theorem(implies(p,implies(q,and(p,q)))) ),
% 102.43/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 102.43/14.73 fof(f13,plain,(
% 102.43/14.73 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 102.43/14.73 inference(cnf_transformation,[status(thm)],[f3])).
% 102.43/14.73 fof(f14,plain,(
% 102.43/14.73 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 102.43/14.73 inference(cnf_transformation,[status(thm)],[f4])).
% 102.43/14.73 fof(f15,plain,(
% 102.43/14.73 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 102.43/14.73 inference(cnf_transformation,[status(thm)],[f5])).
% 102.43/14.73 fof(f16,plain,(
% 102.43/14.73 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 102.43/14.73 inference(cnf_transformation,[status(thm)],[f6])).
% 102.43/14.73 fof(f17,plain,(
% 102.43/14.73 ![X0]: (theorem(X0)|~axiom(X0))),
% 102.43/14.73 inference(cnf_transformation,[status(thm)],[f7])).
% 102.43/14.73 fof(f18,plain,(
% 102.43/14.73 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 102.43/14.73 inference(miniscoping,[status(thm)],[f8])).
% 102.43/14.73 fof(f19,plain,(
% 102.43/14.73 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 102.43/14.73 inference(cnf_transformation,[status(thm)],[f18])).
% 102.43/14.73 fof(f20,plain,(
% 102.43/14.73 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 102.43/14.73 inference(cnf_transformation,[status(thm)],[f9])).
% 102.43/14.73 fof(f21,plain,(
% 102.43/14.73 ~theorem(implies(p,implies(q,and(p,q))))),
% 102.43/14.73 inference(cnf_transformation,[status(thm)],[f10])).
% 102.43/14.73 fof(f24,plain,(
% 102.43/14.73 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 102.43/14.73 inference(resolution,[status(thm)],[f13,f17])).
% 102.43/14.73 fof(f36,plain,(
% 102.43/14.73 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 102.43/14.73 inference(resolution,[status(thm)],[f14,f17])).
% 102.43/14.73 fof(f54,plain,(
% 102.43/14.73 ![X0,X1]: (theorem(implies(implies(X0,X1),or(X1,not(X0)))))),
% 102.43/14.73 inference(paramodulation,[status(thm)],[f16,f24])).
% 102.43/14.73 fof(f74,plain,(
% 102.43/14.73 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 102.43/14.73 inference(resolution,[status(thm)],[f15,f17])).
% 102.43/14.73 fof(f95,plain,(
% 102.43/14.73 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 102.43/14.73 inference(forward_demodulation,[status(thm)],[f16,f20])).
% 102.43/14.73 fof(f180,plain,(
% 102.43/14.73 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 102.43/14.73 inference(resolution,[status(thm)],[f36,f19])).
% 102.43/14.73 fof(f317,plain,(
% 102.43/14.73 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 102.43/14.73 inference(resolution,[status(thm)],[f74,f19])).
% 102.43/14.73 fof(f945,plain,(
% 102.43/14.73 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 102.43/14.73 inference(paramodulation,[status(thm)],[f16,f180])).
% 102.43/14.73 fof(f947,plain,(
% 102.43/14.73 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 102.43/14.73 inference(forward_demodulation,[status(thm)],[f16,f945])).
% 102.43/14.73 fof(f1712,plain,(
% 102.43/14.73 ![X0,X1,X2]: (theorem(implies(or(X0,implies(X1,X2)),or(X0,or(X2,not(X1))))))),
% 102.43/14.73 inference(resolution,[status(thm)],[f317,f54])).
% 102.43/14.73 fof(f6018,plain,(
% 102.43/14.73 ![X0,X1]: (theorem(or(X0,implies(implies(X1,X0),not(X1)))))),
% 102.43/14.73 inference(resolution,[status(thm)],[f947,f54])).
% 102.43/14.73 fof(f6043,plain,(
% 102.43/14.73 ![X0,X1,X2]: (theorem(or(not(X0),implies(X1,X2)))|~theorem(implies(X1,implies(X0,X2))))),
% 102.43/14.73 inference(paramodulation,[status(thm)],[f16,f947])).
% 102.43/14.73 fof(f6048,plain,(
% 102.43/14.73 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X1,implies(X0,X2))))),
% 39.52/14.82 inference(forward_demodulation,[status(thm)],[f16,f6043])).
% 39.52/14.82 fof(f8489,plain,(
% 39.52/14.82 ![X0,X1,X2]: (theorem(or(X0,or(X1,not(X2))))|~theorem(or(X0,implies(X2,X1))))),
% 39.52/14.82 inference(resolution,[status(thm)],[f1712,f19])).
% 39.52/14.82 fof(f200436,plain,(
% 39.52/14.82 ![X0,X1]: (theorem(or(X0,or(not(X1),not(implies(X1,X0))))))),
% 39.52/14.82 inference(resolution,[status(thm)],[f8489,f6018])).
% 39.52/14.82 fof(f200581,plain,(
% 39.52/14.82 ![X0,X1]: (theorem(or(X0,implies(X1,not(implies(X1,X0))))))),
% 39.52/14.82 inference(forward_demodulation,[status(thm)],[f16,f200436])).
% 39.52/14.82 fof(f200947,plain,(
% 39.52/14.82 ![X0,X1]: (theorem(implies(X0,implies(X1,not(implies(X1,not(X0)))))))),
% 39.52/14.82 inference(paramodulation,[status(thm)],[f16,f200581])).
% 39.52/14.82 fof(f200986,plain,(
% 39.52/14.82 ![X0,X1]: (theorem(implies(X0,implies(X1,and(X1,X0)))))),
% 39.52/14.82 inference(forward_demodulation,[status(thm)],[f95,f200947])).
% 39.52/14.82 fof(f201011,plain,(
% 39.52/14.82 ![X0,X1]: (theorem(implies(X0,implies(X1,and(X0,X1)))))),
% 39.52/14.82 inference(resolution,[status(thm)],[f200986,f6048])).
% 39.52/14.82 fof(f201307,plain,(
% 39.52/14.82 $false),
% 39.52/14.82 inference(backward_subsumption_resolution,[status(thm)],[f21,f201011])).
% 39.52/14.82 % SZS output end CNFRefutation for theBenchmark.p
% 39.52/14.90 % Elapsed time: 14.430603 seconds
% 39.52/14.90 % CPU time: 113.877143 seconds
% 39.52/14.90 % Total memory used: 963.827 MB
% 39.52/14.90 % Net memory used: 914.641 MB
%------------------------------------------------------------------------------