%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL033-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 01:09:14 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL033-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 00:02:30 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f1,axiom,(
% 0.08/0.38 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f2,axiom,(
% 0.08/0.38 (![X,Y,Z,U,V]: (is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),V),implies(implies(V,X),implies(Z,X)))) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f3,negated_conjecture,(
% 0.08/0.38 ~ is_a_theorem(implies(a,implies(b,a))) ),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f4,plain,(
% 0.08/0.38 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.08/0.38 fof(f5,plain,(
% 0.08/0.38 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.38 fof(f6,plain,(
% 0.08/0.38 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.38 fof(f7,plain,(
% 0.08/0.38 ~is_a_theorem(implies(a,implies(b,a)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.38 fof(f8,plain,(
% 0.08/0.38 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4))|is_a_theorem(implies(implies(X4,X0),implies(X2,X0))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f6,f5])).
% 0.08/0.38 fof(f9,plain,(
% 0.08/0.38 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f8,f6])).
% 0.08/0.38 fof(f10,plain,(
% 0.08/0.38 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f9,f8])).
% 0.08/0.38 fof(f11,plain,(
% 0.08/0.38 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|is_a_theorem(implies(X4,implies(X1,X3))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f9,f5])).
% 0.08/0.38 fof(f12,plain,(
% 0.08/0.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(falsehood,X2))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f10,f8])).
% 0.08/0.38 fof(f13,plain,(
% 0.08/0.38 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(falsehood,X1)),X2))|is_a_theorem(implies(X3,X2)))),
% 0.08/0.38 inference(resolution,[status(thm)],[f10,f5])).
% 0.08/0.38 fof(f16,plain,(
% 0.08/0.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f12,f8])).
% 0.08/0.38 fof(f18,plain,(
% 0.08/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(falsehood,X2)))),
% 0.08/0.38 inference(resolution,[status(thm)],[f12,f5])).
% 0.08/0.38 fof(f20,plain,(
% 0.08/0.38 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(falsehood,X2)))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f13,f9])).
% 0.08/0.38 fof(f26,plain,(
% 0.08/0.38 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(falsehood,X2))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f20,f5])).
% 0.08/0.38 fof(f27,plain,(
% 0.08/0.38 ![X0,X1]: (is_a_theorem(implies(X0,implies(falsehood,X1))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f26,f6])).
% 0.08/0.38 fof(f42,plain,(
% 0.08/0.38 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f16,f11])).
% 0.08/0.38 fof(f51,plain,(
% 0.08/0.38 ![X0,X1]: (is_a_theorem(implies(falsehood,implies(X0,X1))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f18,f16])).
% 0.08/0.38 fof(f70,plain,(
% 0.08/0.38 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(falsehood,X1)))),
% 0.08/0.38 inference(resolution,[status(thm)],[f27,f5])).
% 0.08/0.38 fof(f94,plain,(
% 0.08/0.38 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f42,f5])).
% 0.08/0.38 fof(f125,plain,(
% 0.08/0.38 ![X0]: (is_a_theorem(implies(falsehood,X0)))),
% 0.08/0.38 inference(resolution,[status(thm)],[f70,f51])).
% 0.08/0.38 fof(f149,plain,(
% 0.08/0.38 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f94,f125])).
% 0.08/0.38 fof(f222,plain,(
% 0.08/0.38 $false),
% 0.08/0.38 inference(backward_subsumption_resolution,[status(thm)],[f7,f149])).
% 0.08/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.073635 seconds
% 0.14/0.44 % CPU time: 0.121446 seconds
% 0.14/0.44 % Total memory used: 11.344 MB
% 0.14/0.44 % Net memory used: 11.288 MB
%------------------------------------------------------------------------------