%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL367-1 : 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 : n008.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 01:09:53 PM UTC 2026
% Result : Unsatisfiable 1.28s 0.70s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL367-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.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 00:24:54 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 1.28/0.70 % Refutation found
% 1.28/0.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.28/0.70 % SZS output start CNFRefutation for theBenchmark
% 1.28/0.70 fof(f1,axiom,(
% 1.28/0.70 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 1.28/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.70 fof(f2,axiom,(
% 1.28/0.70 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 1.28/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.70 fof(f3,axiom,(
% 1.28/0.70 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 1.28/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.70 fof(f4,axiom,(
% 1.28/0.70 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 1.28/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.70 fof(f5,negated_conjecture,(
% 1.28/0.70 ~ is_a_theorem(implies(x,implies(implies(y,x),x))) ),
% 1.28/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.70 fof(f6,plain,(
% 1.28/0.70 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 1.28/0.70 inference(miniscoping,[status(thm)],[f1])).
% 1.28/0.70 fof(f7,plain,(
% 1.28/0.70 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 1.28/0.70 inference(cnf_transformation,[status(thm)],[f6])).
% 1.28/0.70 fof(f8,plain,(
% 1.28/0.70 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 1.28/0.70 inference(cnf_transformation,[status(thm)],[f2])).
% 1.28/0.70 fof(f9,plain,(
% 1.28/0.70 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 1.28/0.70 inference(cnf_transformation,[status(thm)],[f3])).
% 1.28/0.70 fof(f10,plain,(
% 1.28/0.70 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 1.28/0.70 inference(cnf_transformation,[status(thm)],[f4])).
% 1.28/0.70 fof(f11,plain,(
% 1.28/0.70 ~is_a_theorem(implies(x,implies(implies(y,x),x)))),
% 1.28/0.70 inference(cnf_transformation,[status(thm)],[f5])).
% 1.28/0.70 fof(f12,plain,(
% 1.28/0.70 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 1.28/0.70 inference(resolution,[status(thm)],[f8,f7])).
% 1.28/0.70 fof(f13,plain,(
% 1.28/0.70 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 1.28/0.70 inference(resolution,[status(thm)],[f12,f8])).
% 1.28/0.70 fof(f15,plain,(
% 1.28/0.70 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 1.28/0.70 inference(resolution,[status(thm)],[f13,f7])).
% 1.28/0.70 fof(f28,plain,(
% 1.28/0.70 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 1.28/0.70 inference(resolution,[status(thm)],[f9,f12])).
% 1.28/0.70 fof(f29,plain,(
% 1.28/0.70 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0))),
% 1.28/0.70 inference(resolution,[status(thm)],[f9,f7])).
% 1.28/0.70 fof(f32,plain,(
% 1.28/0.70 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 1.28/0.70 inference(resolution,[status(thm)],[f10,f12])).
% 1.28/0.70 fof(f42,plain,(
% 1.28/0.70 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 1.28/0.70 inference(resolution,[status(thm)],[f28,f12])).
% 1.28/0.70 fof(f45,plain,(
% 1.28/0.70 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 1.28/0.70 inference(resolution,[status(thm)],[f32,f15])).
% 1.28/0.70 fof(f48,plain,(
% 1.28/0.70 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 1.28/0.70 inference(resolution,[status(thm)],[f32,f7])).
% 1.28/0.70 fof(f66,plain,(
% 1.28/0.70 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))))),
% 1.28/0.70 inference(resolution,[status(thm)],[f42,f15])).
% 1.28/0.70 fof(f68,plain,(
% 1.28/0.70 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X3),implies(implies(implies(implies(not(X0),X0),X1),X2),X3))))),
% 1.28/0.70 inference(resolution,[status(thm)],[f42,f12])).
% 1.28/0.70 fof(f69,plain,(
% 1.28/0.70 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X1),X2))|is_a_theorem(implies(implies(X0,X1),X2)))),
% 1.28/0.70 inference(resolution,[status(thm)],[f42,f7])).
% 1.28/0.70 fof(f95,plain,(
% 1.28/0.70 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 1.28/0.70 inference(resolution,[status(thm)],[f48,f9])).
% 1.28/0.70 fof(f254,plain,(
% 1.28/0.70 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))))),
% 1.28/0.70 inference(resolution,[status(thm)],[f45,f48])).
% 1.28/0.70 fof(f281,plain,(
% 1.28/0.70 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 1.28/0.72 inference(resolution,[status(thm)],[f66,f7])).
% 1.28/0.72 fof(f289,plain,(
% 1.28/0.72 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(not(X0),X2))))),
% 1.28/0.72 inference(resolution,[status(thm)],[f254,f7])).
% 1.28/0.72 fof(f296,plain,(
% 1.28/0.72 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),X2),X3))|is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),X3)))),
% 1.28/0.72 inference(resolution,[status(thm)],[f68,f7])).
% 1.28/0.72 fof(f356,plain,(
% 1.28/0.72 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 1.28/0.72 inference(resolution,[status(thm)],[f289,f95])).
% 1.28/0.72 fof(f364,plain,(
% 1.28/0.72 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))))),
% 1.28/0.72 inference(resolution,[status(thm)],[f356,f12])).
% 1.28/0.72 fof(f1287,plain,(
% 1.28/0.72 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 1.28/0.72 inference(resolution,[status(thm)],[f364,f69])).
% 1.28/0.72 fof(f1339,plain,(
% 1.28/0.72 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1)))),
% 1.28/0.72 inference(resolution,[status(thm)],[f1287,f7])).
% 1.28/0.72 fof(f3405,plain,(
% 1.28/0.72 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1))))),
% 1.28/0.72 inference(resolution,[status(thm)],[f281,f1287])).
% 1.28/0.72 fof(f3848,plain,(
% 1.28/0.72 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))))),
% 1.28/0.72 inference(resolution,[status(thm)],[f3405,f1339])).
% 1.28/0.72 fof(f3866,plain,(
% 1.28/0.72 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1)))),
% 1.28/0.72 inference(resolution,[status(thm)],[f3848,f29])).
% 1.28/0.72 fof(f4030,plain,(
% 1.28/0.72 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 1.28/0.72 inference(resolution,[status(thm)],[f3866,f296])).
% 1.28/0.72 fof(f4457,plain,(
% 1.28/0.72 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 1.28/0.72 inference(resolution,[status(thm)],[f4030,f15])).
% 1.28/0.72 fof(f4950,plain,(
% 1.28/0.72 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 1.28/0.72 inference(resolution,[status(thm)],[f4457,f15])).
% 1.28/0.72 fof(f5399,plain,(
% 1.28/0.72 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 1.28/0.72 inference(resolution,[status(thm)],[f4950,f48])).
% 1.28/0.72 fof(f5474,plain,(
% 1.28/0.72 $false),
% 1.28/0.72 inference(backward_subsumption_resolution,[status(thm)],[f11,f5399])).
% 1.28/0.72 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.74 % Elapsed time: 0.357743 seconds
% 0.21/0.74 % CPU time: 2.460356 seconds
% 0.21/0.74 % Total memory used: 97.982 MB
% 0.21/0.74 % Net memory used: 90.738 MB
%------------------------------------------------------------------------------