%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL172-3 : 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 : 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 01:09:29 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL172-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n007.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 00:06:36 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f4,axiom,(
% 0.12/0.37 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f6,axiom,(
% 0.12/0.37 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f7,axiom,(
% 0.12/0.37 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f9,negated_conjecture,(
% 0.12/0.37 ~ theorem(implies(implies(p,implies(q,r)),implies(q,implies(p,r)))) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f13,plain,(
% 0.12/0.37 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.37 fof(f15,plain,(
% 0.12/0.37 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f16,plain,(
% 0.12/0.37 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.37 fof(f19,plain,(
% 0.12/0.37 ~theorem(implies(implies(p,implies(q,r)),implies(q,implies(p,r))))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.37 fof(f44,plain,(
% 0.12/0.37 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f13,f16])).
% 0.12/0.37 fof(f66,plain,(
% 0.12/0.37 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f15,f44])).
% 0.12/0.37 fof(f70,plain,(
% 0.12/0.37 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f15,f66])).
% 0.12/0.37 fof(f112,plain,(
% 0.12/0.37 ![X0,X1,X2]: (theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f15,f70])).
% 0.12/0.37 fof(f115,plain,(
% 0.12/0.37 ![X0,X1,X2]: (theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f15,f112])).
% 0.12/0.37 fof(f116,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(backward_subsumption_resolution,[status(thm)],[f19,f115])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.043063 seconds
% 0.12/0.40 % CPU time: 0.132005 seconds
% 0.12/0.40 % Total memory used: 44.438 MB
% 0.12/0.40 % Net memory used: 44.094 MB
%------------------------------------------------------------------------------