%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL027-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 01:09:13 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL027-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:00:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,axiom,(
% 0.09/0.39 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 (![X]: (is_a_theorem(implies(implies(implies(X,falsehood),falsehood),X)) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f5,negated_conjecture,(
% 0.09/0.39 ~ is_a_theorem(implies(falsehood,a)) ),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f6,plain,(
% 0.09/0.39 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.39 fof(f7,plain,(
% 0.09/0.39 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.39 fof(f8,plain,(
% 0.09/0.39 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f9,plain,(
% 0.09/0.39 ![X0]: (is_a_theorem(implies(implies(implies(X0,falsehood),falsehood),X0)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f10,plain,(
% 0.09/0.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f11,plain,(
% 0.09/0.39 ~is_a_theorem(implies(falsehood,a))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f12,plain,(
% 0.09/0.39 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f8,f7])).
% 0.09/0.39 fof(f17,plain,(
% 0.09/0.39 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(implies(X1,falsehood),falsehood),X1))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f9,f12])).
% 0.09/0.39 fof(f18,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f10,f7])).
% 0.09/0.39 fof(f33,plain,(
% 0.09/0.39 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(implies(X1,falsehood),falsehood)),implies(X0,X1))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f17,f18])).
% 0.09/0.39 fof(f76,plain,(
% 0.09/0.39 ![X0,X1]: (~is_a_theorem(implies(X0,implies(implies(X1,falsehood),falsehood)))|is_a_theorem(implies(X0,X1)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f33,f7])).
% 0.09/0.39 fof(f230,plain,(
% 0.09/0.39 ![X0]: (is_a_theorem(implies(falsehood,X0)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f76,f8])).
% 0.09/0.39 fof(f247,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(backward_subsumption_resolution,[status(thm)],[f11,f230])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.048876 seconds
% 0.09/0.42 % CPU time: 0.153723 seconds
% 0.09/0.42 % Total memory used: 56.541 MB
% 0.09/0.42 % Net memory used: 55.969 MB
%------------------------------------------------------------------------------