%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL369+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 : Theorem 137.27s 17.89s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL369+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n015.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 00:27:36 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 137.27/17.89 % Refutation found
% 137.27/17.89 % SZS status Theorem for theBenchmark: Theorem is valid
% 137.27/17.89 % SZS output start CNFRefutation for theBenchmark
% 137.27/17.89 fof(f1,axiom,(
% 137.27/17.89 (! [X,Y] :( ( is_a_theorem(implies(X,Y))& is_a_theorem(X) )=> is_a_theorem(Y) ) )),
% 137.27/17.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 137.27/17.89 fof(f2,axiom,(
% 137.27/17.89 (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )),
% 137.27/17.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 137.27/17.89 fof(f3,axiom,(
% 137.27/17.89 (! [X] : is_a_theorem(implies(implies(not(X),X),X)) )),
% 137.27/17.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 137.27/17.89 fof(f4,axiom,(
% 137.27/17.89 (! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))) )),
% 137.27/17.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 137.27/17.89 fof(f5,conjecture,(
% 137.27/17.89 is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,y),z)))) ),
% 137.27/17.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 137.27/17.89 fof(f6,negated_conjecture,(
% 137.27/17.89 ~(is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,y),z)))) )),
% 137.27/17.89 inference(negated_conjecture,[status(cth)],[f5])).
% 137.27/17.89 fof(f7,plain,(
% 137.27/17.89 ![X,Y]: ((~is_a_theorem(implies(X,Y))|~is_a_theorem(X))|is_a_theorem(Y))),
% 137.27/17.89 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 137.27/17.89 fof(f8,plain,(
% 137.27/17.89 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 137.27/17.89 inference(miniscoping,[status(thm)],[f7])).
% 137.27/17.89 fof(f9,plain,(
% 137.27/17.89 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 137.27/17.89 inference(cnf_transformation,[status(thm)],[f8])).
% 137.27/17.89 fof(f10,plain,(
% 137.27/17.89 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 137.27/17.89 inference(cnf_transformation,[status(thm)],[f2])).
% 137.27/17.89 fof(f11,plain,(
% 137.27/17.89 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 137.27/17.89 inference(cnf_transformation,[status(thm)],[f3])).
% 137.27/17.89 fof(f12,plain,(
% 137.27/17.89 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 137.27/17.89 inference(cnf_transformation,[status(thm)],[f4])).
% 137.27/17.89 fof(f13,plain,(
% 137.27/17.89 ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,y),z))))),
% 137.27/17.89 inference(cnf_transformation,[status(thm)],[f6])).
% 137.27/17.89 fof(f14,plain,(
% 137.27/17.89 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f10,f9])).
% 137.27/17.89 fof(f15,plain,(
% 137.27/17.89 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f14,f10])).
% 137.27/17.89 fof(f17,plain,(
% 137.27/17.89 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 137.27/17.89 inference(resolution,[status(thm)],[f15,f9])).
% 137.27/17.89 fof(f20,plain,(
% 137.27/17.89 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f17,f15])).
% 137.27/17.89 fof(f22,plain,(
% 137.27/17.89 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f17,f10])).
% 137.27/17.89 fof(f25,plain,(
% 137.27/17.89 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f20,f9])).
% 137.27/17.89 fof(f27,plain,(
% 137.27/17.89 ![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))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f22,f14])).
% 137.27/17.89 fof(f34,plain,(
% 137.27/17.89 ![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))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f25,f9])).
% 137.27/17.89 fof(f41,plain,(
% 137.27/17.89 ![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)))),
% 137.27/17.89 inference(resolution,[status(thm)],[f34,f13])).
% 137.27/17.89 fof(f55,plain,(
% 137.27/17.89 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f11,f14])).
% 137.27/17.89 fof(f58,plain,(
% 137.27/17.89 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f12,f14])).
% 137.27/17.89 fof(f64,plain,(
% 137.27/17.89 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(implies(X1,X2)),implies(X1,X2)),implies(X0,X2)))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f55,f17])).
% 137.27/17.89 fof(f65,plain,(
% 137.27/17.89 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f55,f14])).
% 137.27/17.89 fof(f66,plain,(
% 137.27/17.89 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 137.27/17.89 inference(resolution,[status(thm)],[f55,f9])).
% 137.27/17.89 fof(f67,plain,(
% 137.27/17.89 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f58,f17])).
% 137.27/17.89 fof(f68,plain,(
% 137.27/17.89 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f58,f14])).
% 137.27/17.89 fof(f69,plain,(
% 137.27/17.89 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 137.27/17.89 inference(resolution,[status(thm)],[f58,f9])).
% 137.27/17.89 fof(f74,plain,(
% 137.27/17.89 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 137.27/17.89 inference(resolution,[status(thm)],[f66,f9])).
% 137.27/17.89 fof(f79,plain,(
% 137.27/17.89 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f69,f67])).
% 137.27/17.89 fof(f89,plain,(
% 137.27/17.89 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f69,f12])).
% 137.27/17.89 fof(f97,plain,(
% 137.27/17.89 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f79,f14])).
% 137.27/17.89 fof(f104,plain,(
% 137.27/17.89 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f65,f17])).
% 137.27/17.89 fof(f106,plain,(
% 137.27/17.89 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X1),X2))|is_a_theorem(implies(implies(X0,X1),X2)))),
% 137.27/17.89 inference(resolution,[status(thm)],[f65,f9])).
% 137.27/17.89 fof(f109,plain,(
% 137.27/17.89 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(implies(not(X0),X3),X1),X2)))),
% 137.27/17.89 inference(resolution,[status(thm)],[f68,f9])).
% 137.27/17.89 fof(f131,plain,(
% 137.27/17.89 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(not(implies(not(X0),X1)),X2)))),
% 137.27/17.89 inference(resolution,[status(thm)],[f89,f9])).
% 137.27/17.89 fof(f135,plain,(
% 137.27/17.89 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(X2)|~is_a_theorem(X0))),
% 137.27/17.89 inference(resolution,[status(thm)],[f74,f131])).
% 137.27/17.89 fof(f201,plain,(
% 137.27/17.89 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))|is_a_theorem(implies(X1,X3)))),
% 137.27/17.89 inference(resolution,[status(thm)],[f97,f9])).
% 137.27/17.89 fof(f262,plain,(
% 137.27/17.89 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(implies(X1,X2)),implies(X1,X2)),implies(X0,X2))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f64,f9])).
% 137.27/17.89 fof(f272,plain,(
% 137.27/17.89 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f104,f201])).
% 137.27/17.89 fof(f301,plain,(
% 137.27/17.89 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),implies(X2,X1))))),
% 137.27/17.89 inference(resolution,[status(thm)],[f272,f9])).
% 137.27/17.89 fof(f549,plain,(
% 137.27/17.89 ![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))),
% 137.27/17.89 inference(resolution,[status(thm)],[f109,f9])).
% 137.27/17.89 fof(f993,plain,(
% 137.27/17.89 ![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)))),
% 137.27/17.89 inference(resolution,[status(thm)],[f27,f9])).
% 137.27/17.89 fof(f2570,plain,(
% 137.27/17.89 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2))|~is_a_theorem(implies(X1,X2)))),
% 137.27/17.89 inference(resolution,[status(thm)],[f262,f135])).
% 137.27/17.89 fof(f2661,plain,(
% 137.27/17.89 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 137.27/17.89 inference(resolution,[status(thm)],[f2570,f11])).
% 137.27/17.89 fof(f2766,plain,(
% 137.27/17.89 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(X0))),
% 100.90/17.95 inference(resolution,[status(thm)],[f2661,f301])).
% 100.90/17.95 fof(f2802,plain,(
% 100.90/17.95 ![X0,X1]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(implies(implies(X0,X1),X1)))),
% 100.90/17.95 inference(resolution,[status(thm)],[f2766,f106])).
% 100.90/17.95 fof(f2846,plain,(
% 100.90/17.95 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(implies(X1,implies(X0,X2)))|is_a_theorem(implies(X1,X2)))),
% 100.90/17.95 inference(resolution,[status(thm)],[f2766,f2570])).
% 100.90/17.95 fof(f4839,plain,(
% 100.90/17.95 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(X2,X1))))),
% 100.90/17.95 inference(resolution,[status(thm)],[f2846,f272])).
% 100.90/17.95 fof(f6854,plain,(
% 100.90/17.95 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(X1))),
% 100.90/17.95 inference(resolution,[status(thm)],[f549,f11])).
% 100.90/17.95 fof(f7140,plain,(
% 100.90/17.95 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X2),X1)))),
% 100.90/17.95 inference(resolution,[status(thm)],[f6854,f4839])).
% 100.90/17.95 fof(f8032,plain,(
% 100.90/17.95 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 100.90/17.95 inference(resolution,[status(thm)],[f7140,f55])).
% 100.90/17.95 fof(f8223,plain,(
% 100.90/17.95 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 100.90/17.95 inference(resolution,[status(thm)],[f8032,f2802])).
% 100.90/17.95 fof(f12959,plain,(
% 100.90/17.95 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 100.90/17.95 inference(resolution,[status(thm)],[f8223,f993])).
% 100.90/17.95 fof(f12963,plain,(
% 100.90/17.95 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 100.90/17.95 inference(resolution,[status(thm)],[f8223,f17])).
% 100.90/17.95 fof(f14024,plain,(
% 100.90/17.95 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 100.90/17.95 inference(resolution,[status(thm)],[f12963,f201])).
% 100.90/17.95 fof(f14117,plain,(
% 100.90/17.95 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 100.90/17.95 inference(resolution,[status(thm)],[f14024,f14])).
% 100.90/17.95 fof(f14675,plain,(
% 100.90/17.95 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 100.90/17.95 inference(resolution,[status(thm)],[f14117,f9])).
% 100.90/17.95 fof(f15338,plain,(
% 100.90/17.95 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 100.90/17.95 inference(resolution,[status(thm)],[f14675,f12959])).
% 100.90/17.95 fof(f15581,plain,(
% 100.90/17.95 ~is_a_theorem(implies(implies(x,u),implies(implies(implies(x,y),z),implies(implies(u,y),z))))),
% 100.90/17.95 inference(resolution,[status(thm)],[f15338,f41])).
% 100.90/17.95 fof(f15616,plain,(
% 100.90/17.95 $false),
% 100.90/17.95 inference(forward_subsumption_resolution,[status(thm)],[f15581,f22])).
% 100.90/17.95 % SZS output end CNFRefutation for theBenchmark.p
% 14.49/18.05 % Elapsed time: 17.586710 seconds
% 14.49/18.05 % CPU time: 138.492693 seconds
% 14.49/18.05 % Total memory used: 683.387 MB
% 14.49/18.05 % Net memory used: 587.983 MB
%------------------------------------------------------------------------------