%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL369-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 120.68s 15.78s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL369-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n001.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 00:29:45 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Drodi V4.1.1
% 120.68/15.78 % Refutation found
% 120.68/15.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 120.68/15.78 % SZS output start CNFRefutation for theBenchmark
% 120.68/15.78 fof(f1,axiom,(
% 120.68/15.78 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 120.68/15.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.68/15.78 fof(f2,axiom,(
% 120.68/15.78 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 120.68/15.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.68/15.78 fof(f3,axiom,(
% 120.68/15.78 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 120.68/15.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.68/15.78 fof(f4,axiom,(
% 120.68/15.78 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 120.68/15.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.68/15.78 fof(f5,negated_conjecture,(
% 120.68/15.78 ~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,y),z)))) ),
% 120.68/15.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 120.68/15.78 fof(f6,plain,(
% 120.68/15.78 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 120.68/15.78 inference(miniscoping,[status(thm)],[f1])).
% 120.68/15.78 fof(f7,plain,(
% 120.68/15.78 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 120.68/15.78 inference(cnf_transformation,[status(thm)],[f6])).
% 120.68/15.78 fof(f8,plain,(
% 120.68/15.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 120.68/15.78 inference(cnf_transformation,[status(thm)],[f2])).
% 120.68/15.78 fof(f9,plain,(
% 120.68/15.78 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 120.68/15.78 inference(cnf_transformation,[status(thm)],[f3])).
% 120.68/15.78 fof(f10,plain,(
% 120.68/15.78 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 120.68/15.78 inference(cnf_transformation,[status(thm)],[f4])).
% 120.68/15.78 fof(f11,plain,(
% 120.68/15.78 ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,y),z))))),
% 120.68/15.78 inference(cnf_transformation,[status(thm)],[f5])).
% 120.68/15.78 fof(f12,plain,(
% 120.68/15.78 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f8,f7])).
% 120.68/15.78 fof(f13,plain,(
% 120.68/15.78 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f12,f8])).
% 120.68/15.78 fof(f15,plain,(
% 120.68/15.78 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 120.68/15.78 inference(resolution,[status(thm)],[f13,f7])).
% 120.68/15.78 fof(f18,plain,(
% 120.68/15.78 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f15,f13])).
% 120.68/15.78 fof(f20,plain,(
% 120.68/15.78 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f15,f8])).
% 120.68/15.78 fof(f23,plain,(
% 120.68/15.78 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f18,f7])).
% 120.68/15.78 fof(f25,plain,(
% 120.68/15.78 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),X2)),X4),implies(implies(X0,X3),X4))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f20,f12])).
% 120.68/15.78 fof(f32,plain,(
% 120.68/15.78 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X3,X1))|is_a_theorem(implies(X0,implies(X3,X2))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f23,f7])).
% 120.68/15.78 fof(f39,plain,(
% 120.68/15.78 ![X0]: (~is_a_theorem(implies(implies(implies(x,y),z),implies(X0,implies(implies(u,y),z))))|~is_a_theorem(implies(implies(x,u),X0)))),
% 120.68/15.78 inference(resolution,[status(thm)],[f32,f11])).
% 120.68/15.78 fof(f53,plain,(
% 120.68/15.78 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f9,f12])).
% 120.68/15.78 fof(f56,plain,(
% 120.68/15.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f10,f12])).
% 120.68/15.78 fof(f62,plain,(
% 120.68/15.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(implies(X1,X2)),implies(X1,X2)),implies(X0,X2)))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f53,f15])).
% 120.68/15.78 fof(f63,plain,(
% 120.68/15.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f53,f12])).
% 120.68/15.78 fof(f64,plain,(
% 120.68/15.78 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 120.68/15.78 inference(resolution,[status(thm)],[f53,f7])).
% 120.68/15.78 fof(f65,plain,(
% 120.68/15.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f56,f15])).
% 120.68/15.78 fof(f66,plain,(
% 120.68/15.78 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f56,f12])).
% 120.68/15.78 fof(f67,plain,(
% 120.68/15.78 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 120.68/15.78 inference(resolution,[status(thm)],[f56,f7])).
% 120.68/15.78 fof(f72,plain,(
% 120.68/15.78 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 120.68/15.78 inference(resolution,[status(thm)],[f64,f7])).
% 120.68/15.78 fof(f77,plain,(
% 120.68/15.78 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f67,f65])).
% 120.68/15.78 fof(f87,plain,(
% 120.68/15.78 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f67,f10])).
% 120.68/15.78 fof(f95,plain,(
% 120.68/15.78 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f77,f12])).
% 120.68/15.78 fof(f102,plain,(
% 120.68/15.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f63,f15])).
% 120.68/15.78 fof(f104,plain,(
% 120.68/15.78 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X1),X2))|is_a_theorem(implies(implies(X0,X1),X2)))),
% 120.68/15.78 inference(resolution,[status(thm)],[f63,f7])).
% 120.68/15.78 fof(f107,plain,(
% 120.68/15.78 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(implies(not(X0),X3),X1),X2)))),
% 120.68/15.78 inference(resolution,[status(thm)],[f66,f7])).
% 120.68/15.78 fof(f129,plain,(
% 120.68/15.78 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(not(implies(not(X0),X1)),X2)))),
% 120.68/15.78 inference(resolution,[status(thm)],[f87,f7])).
% 120.68/15.78 fof(f133,plain,(
% 120.68/15.78 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(X2)|~is_a_theorem(X0))),
% 120.68/15.78 inference(resolution,[status(thm)],[f72,f129])).
% 120.68/15.78 fof(f199,plain,(
% 120.68/15.78 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))|is_a_theorem(implies(X1,X3)))),
% 120.68/15.78 inference(resolution,[status(thm)],[f95,f7])).
% 120.68/15.78 fof(f260,plain,(
% 120.68/15.78 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(implies(X1,X2)),implies(X1,X2)),implies(X0,X2))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f62,f7])).
% 120.68/15.78 fof(f270,plain,(
% 120.68/15.78 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f102,f199])).
% 120.68/15.78 fof(f299,plain,(
% 120.68/15.78 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),implies(X2,X1))))),
% 120.68/15.78 inference(resolution,[status(thm)],[f270,f7])).
% 120.68/15.78 fof(f547,plain,(
% 120.68/15.78 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|~is_a_theorem(implies(implies(not(X0),X3),X1))|is_a_theorem(X2))),
% 120.68/15.78 inference(resolution,[status(thm)],[f107,f7])).
% 120.68/15.78 fof(f991,plain,(
% 120.68/15.78 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),X2)),X4))|is_a_theorem(implies(implies(X0,X3),X4)))),
% 120.68/15.78 inference(resolution,[status(thm)],[f25,f7])).
% 120.68/15.78 fof(f2568,plain,(
% 120.68/15.78 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2))|~is_a_theorem(implies(X1,X2)))),
% 120.68/15.78 inference(resolution,[status(thm)],[f260,f133])).
% 120.68/15.78 fof(f2659,plain,(
% 120.68/15.78 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 120.68/15.78 inference(resolution,[status(thm)],[f2568,f9])).
% 120.68/15.78 fof(f2764,plain,(
% 120.68/15.78 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(X0))),
% 120.68/15.78 inference(resolution,[status(thm)],[f2659,f299])).
% 120.68/15.78 fof(f2800,plain,(
% 120.68/15.78 ![X0,X1]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(implies(implies(X0,X1),X1)))),
% 120.68/15.78 inference(resolution,[status(thm)],[f2764,f104])).
% 120.68/15.78 fof(f2844,plain,(
% 120.68/15.78 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(implies(X1,implies(X0,X2)))|is_a_theorem(implies(X1,X2)))),
% 94.77/15.81 inference(resolution,[status(thm)],[f2764,f2568])).
% 94.77/15.81 fof(f4837,plain,(
% 94.77/15.81 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(X2,X1))))),
% 94.77/15.81 inference(resolution,[status(thm)],[f2844,f270])).
% 94.77/15.81 fof(f6852,plain,(
% 94.77/15.81 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(X1))),
% 94.77/15.81 inference(resolution,[status(thm)],[f547,f9])).
% 94.77/15.81 fof(f7138,plain,(
% 94.77/15.81 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X2),X1)))),
% 94.77/15.81 inference(resolution,[status(thm)],[f6852,f4837])).
% 94.77/15.81 fof(f8030,plain,(
% 94.77/15.81 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 94.77/15.81 inference(resolution,[status(thm)],[f7138,f53])).
% 94.77/15.81 fof(f8221,plain,(
% 94.77/15.81 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 94.77/15.81 inference(resolution,[status(thm)],[f8030,f2800])).
% 94.77/15.81 fof(f12957,plain,(
% 94.77/15.81 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 94.77/15.81 inference(resolution,[status(thm)],[f8221,f991])).
% 94.77/15.81 fof(f12961,plain,(
% 94.77/15.81 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 94.77/15.81 inference(resolution,[status(thm)],[f8221,f15])).
% 94.77/15.81 fof(f14022,plain,(
% 94.77/15.81 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 94.77/15.81 inference(resolution,[status(thm)],[f12961,f199])).
% 94.77/15.81 fof(f14115,plain,(
% 94.77/15.81 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 94.77/15.81 inference(resolution,[status(thm)],[f14022,f12])).
% 94.77/15.81 fof(f14673,plain,(
% 94.77/15.81 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 94.77/15.81 inference(resolution,[status(thm)],[f14115,f7])).
% 94.77/15.81 fof(f15336,plain,(
% 94.77/15.81 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 94.77/15.81 inference(resolution,[status(thm)],[f14673,f12957])).
% 94.77/15.81 fof(f15579,plain,(
% 94.77/15.81 ~is_a_theorem(implies(implies(x,u),implies(implies(implies(x,y),z),implies(implies(u,y),z))))),
% 94.77/15.81 inference(resolution,[status(thm)],[f15336,f39])).
% 94.77/15.81 fof(f15614,plain,(
% 94.77/15.81 $false),
% 94.77/15.81 inference(forward_subsumption_resolution,[status(thm)],[f15579,f20])).
% 94.77/15.81 % SZS output end CNFRefutation for theBenchmark.p
% 94.77/15.89 % Elapsed time: 15.440984 seconds
% 94.77/15.89 % CPU time: 121.832565 seconds
% 94.77/15.89 % Total memory used: 681.695 MB
% 94.77/15.89 % Net memory used: 583.102 MB
%------------------------------------------------------------------------------