%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL385-1 : 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 : n026.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 01:09:57 PM UTC 2026
% Result : Unsatisfiable 6.22s 1.30s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL385-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 00:29:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 6.22/1.30 % Refutation found
% 6.22/1.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.22/1.30 % SZS output start CNFRefutation for theBenchmark
% 6.22/1.30 fof(f1,axiom,(
% 6.22/1.30 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 6.22/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.22/1.30 fof(f2,axiom,(
% 6.22/1.30 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 6.22/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.22/1.30 fof(f3,axiom,(
% 6.22/1.30 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 6.22/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.22/1.30 fof(f4,axiom,(
% 6.22/1.30 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 6.22/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.22/1.30 fof(f5,negated_conjecture,(
% 6.22/1.30 ~ is_a_theorem(implies(implies(x,not(y)),implies(y,not(x)))) ),
% 6.22/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.22/1.30 fof(f6,plain,(
% 6.22/1.30 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 6.22/1.30 inference(miniscoping,[status(thm)],[f1])).
% 6.22/1.30 fof(f7,plain,(
% 6.22/1.30 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 6.22/1.30 inference(cnf_transformation,[status(thm)],[f6])).
% 6.22/1.30 fof(f8,plain,(
% 6.22/1.30 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 6.22/1.30 inference(cnf_transformation,[status(thm)],[f2])).
% 6.22/1.30 fof(f9,plain,(
% 6.22/1.30 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 6.22/1.30 inference(cnf_transformation,[status(thm)],[f3])).
% 6.22/1.30 fof(f10,plain,(
% 6.22/1.30 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 6.22/1.30 inference(cnf_transformation,[status(thm)],[f4])).
% 6.22/1.30 fof(f11,plain,(
% 6.22/1.30 ~is_a_theorem(implies(implies(x,not(y)),implies(y,not(x))))),
% 6.22/1.30 inference(cnf_transformation,[status(thm)],[f5])).
% 6.22/1.30 fof(f14,plain,(
% 6.22/1.30 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f8,f7])).
% 6.22/1.30 fof(f24,plain,(
% 6.22/1.30 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 6.22/1.30 inference(resolution,[status(thm)],[f14,f7])).
% 6.22/1.30 fof(f26,plain,(
% 6.22/1.30 ![X0]: (~is_a_theorem(implies(implies(x,not(y)),X0))|~is_a_theorem(implies(X0,implies(y,not(x)))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f24,f11])).
% 6.22/1.30 fof(f114,plain,(
% 6.22/1.30 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f14,f9])).
% 6.22/1.30 fof(f115,plain,(
% 6.22/1.30 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f14,f8])).
% 6.22/1.30 fof(f116,plain,(
% 6.22/1.30 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f14,f10])).
% 6.22/1.30 fof(f123,plain,(
% 6.22/1.30 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 6.22/1.30 inference(resolution,[status(thm)],[f114,f7])).
% 6.22/1.30 fof(f130,plain,(
% 6.22/1.30 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 6.22/1.30 inference(resolution,[status(thm)],[f116,f7])).
% 6.22/1.30 fof(f151,plain,(
% 6.22/1.30 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f130,f8])).
% 6.22/1.30 fof(f232,plain,(
% 6.22/1.30 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f24,f116])).
% 6.22/1.30 fof(f234,plain,(
% 6.22/1.30 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 6.22/1.30 inference(resolution,[status(thm)],[f24,f9])).
% 6.22/1.30 fof(f273,plain,(
% 6.22/1.30 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f151,f7])).
% 6.22/1.30 fof(f371,plain,(
% 6.22/1.30 ![X0]: (~is_a_theorem(implies(X0,x))|~is_a_theorem(implies(implies(X0,not(y)),implies(y,not(x)))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f14,f26])).
% 6.22/1.30 fof(f416,plain,(
% 6.22/1.30 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 6.22/1.30 inference(resolution,[status(thm)],[f234,f14])).
% 6.22/1.30 fof(f433,plain,(
% 6.22/1.30 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 6.22/1.30 inference(resolution,[status(thm)],[f115,f7])).
% 6.22/1.30 fof(f471,plain,(
% 6.22/1.30 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X0),X0)))),
% 6.22/1.30 inference(resolution,[status(thm)],[f273,f234])).
% 6.22/1.30 fof(f594,plain,(
% 6.22/1.30 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 6.22/1.30 inference(resolution,[status(thm)],[f130,f471])).
% 6.22/1.30 fof(f605,plain,(
% 6.22/1.30 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f594,f9])).
% 6.22/1.30 fof(f855,plain,(
% 6.22/1.30 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 6.22/1.30 inference(resolution,[status(thm)],[f123,f7])).
% 6.22/1.30 fof(f978,plain,(
% 6.22/1.30 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 6.22/1.30 inference(resolution,[status(thm)],[f416,f605])).
% 6.22/1.30 fof(f2234,plain,(
% 6.22/1.30 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f433,f978])).
% 6.22/1.30 fof(f2579,plain,(
% 6.22/1.30 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f2234,f433])).
% 6.22/1.30 fof(f2736,plain,(
% 6.22/1.30 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f2579,f130])).
% 6.22/1.30 fof(f2743,plain,(
% 6.22/1.30 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f2579,f232])).
% 6.22/1.30 fof(f2763,plain,(
% 6.22/1.30 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f2736,f232])).
% 6.22/1.30 fof(f2791,plain,(
% 6.22/1.30 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f2763,f594])).
% 6.22/1.30 fof(f2805,plain,(
% 6.22/1.30 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 6.22/1.30 inference(resolution,[status(thm)],[f2791,f855])).
% 6.22/1.30 fof(f3373,plain,(
% 6.22/1.30 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f2805,f8])).
% 6.22/1.30 fof(f5455,plain,(
% 6.22/1.30 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 6.22/1.30 inference(resolution,[status(thm)],[f3373,f7])).
% 6.22/1.30 fof(f5966,plain,(
% 6.22/1.30 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f5455,f2579])).
% 6.22/1.30 fof(f6044,plain,(
% 6.22/1.30 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 6.22/1.30 inference(resolution,[status(thm)],[f5966,f232])).
% 6.22/1.30 fof(f6056,plain,(
% 6.22/1.30 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 6.22/1.30 inference(resolution,[status(thm)],[f6044,f234])).
% 6.22/1.30 fof(f9231,plain,(
% 6.22/1.30 ~is_a_theorem(implies(not(not(x)),x))),
% 6.22/1.30 inference(resolution,[status(thm)],[f2743,f371])).
% 6.22/1.30 fof(f9249,plain,(
% 6.22/1.30 $false),
% 6.22/1.30 inference(forward_subsumption_resolution,[status(thm)],[f9231,f6056])).
% 6.22/1.30 % SZS output end CNFRefutation for theBenchmark.p
% 4.82/1.34 % Elapsed time: 0.951353 seconds
% 4.82/1.34 % CPU time: 7.205849 seconds
% 4.82/1.34 % Total memory used: 145.896 MB
% 4.82/1.34 % Net memory used: 130.014 MB
%------------------------------------------------------------------------------