%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL368-1 : 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 : n017.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 16.73s 2.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL368-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.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 00:19:43 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 16.73/2.59 % Refutation found
% 16.73/2.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.73/2.59 % SZS output start CNFRefutation for theBenchmark
% 16.73/2.59 fof(f1,axiom,(
% 16.73/2.59 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 16.73/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.73/2.59 fof(f2,axiom,(
% 16.73/2.59 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 16.73/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.73/2.59 fof(f3,axiom,(
% 16.73/2.59 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 16.73/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.73/2.59 fof(f4,axiom,(
% 16.73/2.59 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 16.73/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.73/2.59 fof(f5,negated_conjecture,(
% 16.73/2.59 ~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))) ),
% 16.73/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.73/2.59 fof(f6,plain,(
% 16.73/2.59 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 16.73/2.59 inference(miniscoping,[status(thm)],[f1])).
% 16.73/2.59 fof(f7,plain,(
% 16.73/2.59 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 16.73/2.59 inference(cnf_transformation,[status(thm)],[f6])).
% 16.73/2.59 fof(f8,plain,(
% 16.73/2.59 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 16.73/2.59 inference(cnf_transformation,[status(thm)],[f2])).
% 16.73/2.59 fof(f9,plain,(
% 16.73/2.59 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 16.73/2.59 inference(cnf_transformation,[status(thm)],[f3])).
% 16.73/2.59 fof(f10,plain,(
% 16.73/2.59 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 16.73/2.59 inference(cnf_transformation,[status(thm)],[f4])).
% 16.73/2.59 fof(f11,plain,(
% 16.73/2.59 ~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))),
% 16.73/2.59 inference(cnf_transformation,[status(thm)],[f5])).
% 16.73/2.59 fof(f13,plain,(
% 16.73/2.59 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 16.73/2.59 inference(resolution,[status(thm)],[f7,f10])).
% 16.73/2.59 fof(f14,plain,(
% 16.73/2.59 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 16.73/2.59 inference(resolution,[status(thm)],[f8,f7])).
% 16.73/2.59 fof(f24,plain,(
% 16.73/2.59 ~is_a_theorem(implies(implies(y,implies(x,z)),implies(x,implies(y,z))))),
% 16.73/2.59 inference(resolution,[status(thm)],[f14,f11])).
% 16.73/2.59 fof(f25,plain,(
% 16.73/2.59 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 16.73/2.59 inference(resolution,[status(thm)],[f14,f7])).
% 16.73/2.59 fof(f32,plain,(
% 16.73/2.59 ![X0]: (~is_a_theorem(implies(implies(y,implies(x,z)),X0))|~is_a_theorem(implies(X0,implies(x,implies(y,z)))))),
% 16.73/2.59 inference(resolution,[status(thm)],[f24,f25])).
% 16.73/2.59 fof(f49,plain,(
% 16.73/2.59 ![X0,X1]: (is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)))),
% 16.73/2.59 inference(resolution,[status(thm)],[f9,f13])).
% 16.73/2.59 fof(f85,plain,(
% 16.73/2.59 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 16.73/2.59 inference(resolution,[status(thm)],[f14,f8])).
% 16.73/2.59 fof(f86,plain,(
% 16.73/2.59 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 16.73/2.59 inference(resolution,[status(thm)],[f14,f10])).
% 16.73/2.59 fof(f115,plain,(
% 16.73/2.59 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 16.73/2.59 inference(resolution,[status(thm)],[f86,f7])).
% 16.73/2.59 fof(f120,plain,(
% 16.73/2.59 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 16.73/2.59 inference(resolution,[status(thm)],[f25,f86])).
% 16.73/2.59 fof(f121,plain,(
% 16.73/2.59 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 16.73/2.59 inference(resolution,[status(thm)],[f25,f9])).
% 16.73/2.59 fof(f143,plain,(
% 16.73/2.59 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 16.73/2.59 inference(resolution,[status(thm)],[f115,f8])).
% 16.73/2.59 fof(f227,plain,(
% 16.73/2.59 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 16.73/2.59 inference(resolution,[status(thm)],[f85,f7])).
% 16.73/2.59 fof(f279,plain,(
% 16.73/2.59 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 16.73/2.59 inference(resolution,[status(thm)],[f143,f7])).
% 16.73/2.61 fof(f291,plain,(
% 16.73/2.61 ![X0]: (~is_a_theorem(implies(implies(implies(implies(x,z),X0),implies(y,X0)),implies(x,implies(y,z)))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f32,f8])).
% 16.73/2.61 fof(f518,plain,(
% 16.73/2.61 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 16.73/2.61 inference(resolution,[status(thm)],[f115,f279])).
% 16.73/2.61 fof(f526,plain,(
% 16.73/2.61 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(not(X0),X2),X3))|~is_a_theorem(implies(X3,X1)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f115,f25])).
% 16.73/2.61 fof(f548,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f121,f14])).
% 16.73/2.61 fof(f560,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 16.73/2.61 inference(resolution,[status(thm)],[f121,f518])).
% 16.73/2.61 fof(f573,plain,(
% 16.73/2.61 ![X0,X1]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(implies(X1,X0)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f560,f121])).
% 16.73/2.61 fof(f587,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f573,f49])).
% 16.73/2.61 fof(f2000,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f548,f587])).
% 16.73/2.61 fof(f3616,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f2000,f227])).
% 16.73/2.61 fof(f4514,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f3616,f227])).
% 16.73/2.61 fof(f4536,plain,(
% 16.73/2.61 ~is_a_theorem(implies(x,implies(implies(x,z),z)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f291,f14])).
% 16.73/2.61 fof(f5283,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f4514,f120])).
% 16.73/2.61 fof(f7533,plain,(
% 16.73/2.61 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X0),X1)))),
% 16.73/2.61 inference(resolution,[status(thm)],[f5283,f526])).
% 16.73/2.61 fof(f7645,plain,(
% 16.73/2.61 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 16.73/2.61 inference(resolution,[status(thm)],[f7533,f4514])).
% 16.73/2.61 fof(f7917,plain,(
% 16.73/2.61 $false),
% 16.73/2.61 inference(backward_subsumption_resolution,[status(thm)],[f4536,f7645])).
% 16.73/2.61 % SZS output end CNFRefutation for theBenchmark.p
% 3.58/2.66 % Elapsed time: 2.269745 seconds
% 3.58/2.66 % CPU time: 17.520968 seconds
% 3.58/2.66 % Total memory used: 163.076 MB
% 3.58/2.66 % Net memory used: 141.578 MB
%------------------------------------------------------------------------------