%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL370-1 : 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 : 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 01:09:54 PM UTC 2026
% Result : Unsatisfiable 19.59s 7.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL370-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.38 % Computer : n005.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Mon Sep 21 00:24:24 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.40 % Drodi V4.1.1
% 19.59/7.94 % Refutation found
% 19.59/7.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 19.59/7.94 % SZS output start CNFRefutation for theBenchmark
% 19.59/7.94 fof(f1,axiom,(
% 19.59/7.94 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 19.59/7.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.59/7.94 fof(f2,axiom,(
% 19.59/7.94 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 19.59/7.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.59/7.94 fof(f3,axiom,(
% 19.59/7.94 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 19.59/7.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.59/7.94 fof(f4,axiom,(
% 19.59/7.94 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 19.59/7.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.59/7.94 fof(f5,negated_conjecture,(
% 19.59/7.94 ~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(z,x),x))) ),
% 19.59/7.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.59/7.94 fof(f6,plain,(
% 19.59/7.94 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 19.59/7.94 inference(miniscoping,[status(thm)],[f1])).
% 19.59/7.94 fof(f7,plain,(
% 19.59/7.94 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 19.59/7.94 inference(cnf_transformation,[status(thm)],[f6])).
% 19.59/7.94 fof(f8,plain,(
% 19.59/7.94 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 19.59/7.94 inference(cnf_transformation,[status(thm)],[f2])).
% 19.59/7.94 fof(f9,plain,(
% 19.59/7.94 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 19.59/7.94 inference(cnf_transformation,[status(thm)],[f3])).
% 19.59/7.94 fof(f10,plain,(
% 19.59/7.94 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 19.59/7.94 inference(cnf_transformation,[status(thm)],[f4])).
% 19.59/7.94 fof(f11,plain,(
% 19.59/7.94 ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(z,x),x)))),
% 19.59/7.94 inference(cnf_transformation,[status(thm)],[f5])).
% 19.59/7.94 fof(f12,plain,(
% 19.59/7.94 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f8,f7])).
% 19.59/7.94 fof(f13,plain,(
% 19.59/7.94 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f12,f8])).
% 19.59/7.94 fof(f15,plain,(
% 19.59/7.94 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 19.59/7.94 inference(resolution,[status(thm)],[f13,f7])).
% 19.59/7.94 fof(f20,plain,(
% 19.59/7.94 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f15,f8])).
% 19.59/7.94 fof(f26,plain,(
% 19.59/7.94 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f20,f7])).
% 19.59/7.94 fof(f35,plain,(
% 19.59/7.94 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X0,X2),X3))|is_a_theorem(implies(implies(X1,X2),X3)))),
% 19.59/7.94 inference(resolution,[status(thm)],[f26,f7])).
% 19.59/7.94 fof(f43,plain,(
% 19.59/7.94 ![X0]: (~is_a_theorem(implies(X0,implies(x,y)))|~is_a_theorem(implies(implies(X0,z),implies(implies(z,x),x))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f35,f11])).
% 19.59/7.94 fof(f53,plain,(
% 19.59/7.94 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f9,f12])).
% 19.59/7.94 fof(f56,plain,(
% 19.59/7.94 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f10,f12])).
% 19.59/7.94 fof(f57,plain,(
% 19.59/7.94 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 19.59/7.94 inference(resolution,[status(thm)],[f10,f7])).
% 19.59/7.94 fof(f60,plain,(
% 19.59/7.94 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f57,f12])).
% 19.59/7.94 fof(f70,plain,(
% 19.59/7.94 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f53,f12])).
% 19.59/7.94 fof(f71,plain,(
% 19.59/7.94 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 19.59/7.94 inference(resolution,[status(thm)],[f53,f7])).
% 19.59/7.94 fof(f73,plain,(
% 19.59/7.94 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f56,f12])).
% 19.59/7.94 fof(f74,plain,(
% 19.59/7.94 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 19.59/7.94 inference(resolution,[status(thm)],[f56,f7])).
% 19.59/7.94 fof(f79,plain,(
% 19.59/7.94 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 19.59/7.94 inference(resolution,[status(thm)],[f71,f7])).
% 19.59/7.94 fof(f83,plain,(
% 19.59/7.94 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 19.59/7.94 inference(resolution,[status(thm)],[f74,f9])).
% 19.59/7.94 fof(f86,plain,(
% 19.59/7.94 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 19.59/7.94 inference(resolution,[status(thm)],[f74,f60])).
% 19.59/7.94 fof(f116,plain,(
% 19.59/7.94 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f70,f15])).
% 19.59/7.94 fof(f119,plain,(
% 19.59/7.94 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(not(X1),X2),X3),implies(X0,X3)))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f73,f15])).
% 19.59/7.94 fof(f211,plain,(
% 19.59/7.94 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 19.59/7.94 inference(resolution,[status(thm)],[f12,f7])).
% 19.59/7.94 fof(f335,plain,(
% 19.59/7.94 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f211,f56])).
% 19.59/7.94 fof(f336,plain,(
% 19.59/7.94 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X2))|~is_a_theorem(implies(X1,X2)))),
% 19.59/7.94 inference(resolution,[status(thm)],[f211,f71])).
% 19.59/7.94 fof(f337,plain,(
% 19.59/7.94 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 19.59/7.94 inference(resolution,[status(thm)],[f211,f9])).
% 19.59/7.94 fof(f353,plain,(
% 19.59/7.94 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 19.59/7.94 inference(resolution,[status(thm)],[f337,f12])).
% 19.59/7.94 fof(f357,plain,(
% 19.59/7.94 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 19.59/7.94 inference(resolution,[status(thm)],[f337,f86])).
% 19.59/7.94 fof(f375,plain,(
% 19.59/7.94 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f357,f83])).
% 19.59/7.94 fof(f382,plain,(
% 19.59/7.94 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f375,f357])).
% 19.59/7.94 fof(f416,plain,(
% 19.59/7.94 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|is_a_theorem(X2))),
% 19.59/7.94 inference(resolution,[status(thm)],[f382,f79])).
% 19.59/7.94 fof(f472,plain,(
% 19.59/7.94 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f416,f8])).
% 19.59/7.94 fof(f568,plain,(
% 19.59/7.94 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1)))),
% 19.59/7.94 inference(resolution,[status(thm)],[f472,f337])).
% 19.59/7.94 fof(f578,plain,(
% 19.59/7.94 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X0,X2)))),
% 19.59/7.94 inference(resolution,[status(thm)],[f568,f211])).
% 19.59/7.94 fof(f702,plain,(
% 19.59/7.94 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0))),
% 19.59/7.94 inference(resolution,[status(thm)],[f353,f7])).
% 19.59/7.94 fof(f3927,plain,(
% 19.59/7.94 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f578,f116])).
% 19.59/7.94 fof(f3932,plain,(
% 19.59/7.94 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X0,implies(not(X1),X2)))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f578,f119])).
% 19.59/7.94 fof(f4451,plain,(
% 19.59/7.94 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f3927,f15])).
% 19.59/7.94 fof(f4811,plain,(
% 19.59/7.94 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f4451,f74])).
% 19.59/7.94 fof(f4814,plain,(
% 19.59/7.94 ~is_a_theorem(implies(not(x),implies(x,y)))),
% 19.59/7.94 inference(resolution,[status(thm)],[f4451,f43])).
% 19.59/7.94 fof(f4854,plain,(
% 19.59/7.94 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f4811,f335])).
% 19.59/7.94 fof(f4897,plain,(
% 19.59/7.94 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 19.59/7.94 inference(resolution,[status(thm)],[f4854,f357])).
% 19.59/7.96 fof(f4898,plain,(
% 19.59/7.96 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 19.59/7.96 inference(resolution,[status(thm)],[f4897,f702])).
% 19.59/7.96 fof(f5794,plain,(
% 19.59/7.96 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X0)),X2))))),
% 19.59/7.96 inference(resolution,[status(thm)],[f4898,f3932])).
% 19.59/7.96 fof(f5951,plain,(
% 19.59/7.96 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X0),X1)))),
% 19.59/7.96 inference(resolution,[status(thm)],[f5794,f336])).
% 19.59/7.96 fof(f6597,plain,(
% 19.59/7.96 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 19.59/7.96 inference(resolution,[status(thm)],[f5951,f4451])).
% 19.59/7.96 fof(f6690,plain,(
% 19.59/7.96 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 19.59/7.96 inference(resolution,[status(thm)],[f6597,f335])).
% 19.59/7.96 fof(f6771,plain,(
% 19.59/7.96 $false),
% 19.59/7.96 inference(backward_subsumption_resolution,[status(thm)],[f4814,f6690])).
% 19.59/7.96 % SZS output end CNFRefutation for theBenchmark.p
% 19.59/8.00 % Elapsed time: 2.593982 seconds
% 19.59/8.00 % CPU time: 20.033550 seconds
% 19.59/8.00 % Total memory used: 185.665 MB
% 19.59/8.00 % Net memory used: 163.160 MB
%------------------------------------------------------------------------------