%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL386-1 : 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 : 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 01:09:57 PM UTC 2026
% Result : Unsatisfiable 18.15s 3.11s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL386-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % Computer : n015.cluster.edu
% 0.18/0.48 % Model : x86_64 x86_64
% 0.18/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.48 % Memory : 8046.5625MB
% 0.18/0.48 % OS : Linux 6.8.0-71-generic
% 0.18/0.48 % CPULimit : 300
% 0.18/0.48 % WCLimit : 300
% 0.18/0.48 % DateTime : Mon Sep 21 00:30:20 UTC 2026
% 0.18/0.48 % CPUTime :
% 0.18/0.50 % Drodi V4.1.1
% 18.15/3.11 % Refutation found
% 18.15/3.11 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.15/3.11 % SZS output start CNFRefutation for theBenchmark
% 18.15/3.11 fof(f1,axiom,(
% 18.15/3.11 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 18.15/3.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.15/3.11 fof(f2,axiom,(
% 18.15/3.11 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 18.15/3.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.15/3.11 fof(f3,axiom,(
% 18.15/3.11 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 18.15/3.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.15/3.11 fof(f4,axiom,(
% 18.15/3.11 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 18.15/3.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.15/3.11 fof(f5,negated_conjecture,(
% 18.15/3.11 ~ is_a_theorem(implies(implies(not(x),y),implies(not(y),x))) ),
% 18.15/3.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.15/3.11 fof(f6,plain,(
% 18.15/3.11 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 18.15/3.11 inference(miniscoping,[status(thm)],[f1])).
% 18.15/3.11 fof(f7,plain,(
% 18.15/3.11 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 18.15/3.11 inference(cnf_transformation,[status(thm)],[f6])).
% 18.15/3.11 fof(f8,plain,(
% 18.15/3.11 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 18.15/3.11 inference(cnf_transformation,[status(thm)],[f2])).
% 18.15/3.11 fof(f9,plain,(
% 18.15/3.11 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 18.15/3.11 inference(cnf_transformation,[status(thm)],[f3])).
% 18.15/3.11 fof(f10,plain,(
% 18.15/3.11 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 18.15/3.11 inference(cnf_transformation,[status(thm)],[f4])).
% 18.15/3.11 fof(f11,plain,(
% 18.15/3.11 ~is_a_theorem(implies(implies(not(x),y),implies(not(y),x)))),
% 18.15/3.11 inference(cnf_transformation,[status(thm)],[f5])).
% 18.15/3.11 fof(f23,plain,(
% 18.15/3.11 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 18.15/3.11 inference(resolution,[status(thm)],[f8,f7])).
% 18.15/3.11 fof(f24,plain,(
% 18.15/3.11 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 18.15/3.11 inference(resolution,[status(thm)],[f23,f7])).
% 18.15/3.11 fof(f114,plain,(
% 18.15/3.11 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 18.15/3.11 inference(resolution,[status(thm)],[f23,f9])).
% 18.15/3.11 fof(f115,plain,(
% 18.15/3.11 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 18.15/3.11 inference(resolution,[status(thm)],[f23,f8])).
% 18.15/3.11 fof(f116,plain,(
% 18.15/3.11 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 18.15/3.11 inference(resolution,[status(thm)],[f23,f10])).
% 18.15/3.11 fof(f120,plain,(
% 18.15/3.11 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 18.15/3.11 inference(resolution,[status(thm)],[f114,f7])).
% 18.15/3.11 fof(f127,plain,(
% 18.15/3.11 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 18.15/3.11 inference(resolution,[status(thm)],[f116,f7])).
% 18.15/3.11 fof(f147,plain,(
% 18.15/3.11 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 18.15/3.11 inference(resolution,[status(thm)],[f24,f116])).
% 18.15/3.11 fof(f149,plain,(
% 18.15/3.11 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 18.15/3.11 inference(resolution,[status(thm)],[f24,f9])).
% 18.15/3.11 fof(f159,plain,(
% 18.15/3.11 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 18.15/3.11 inference(resolution,[status(thm)],[f127,f8])).
% 18.15/3.11 fof(f311,plain,(
% 18.15/3.11 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 18.15/3.11 inference(resolution,[status(thm)],[f159,f7])).
% 18.15/3.11 fof(f320,plain,(
% 18.15/3.11 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 18.15/3.11 inference(resolution,[status(thm)],[f115,f7])).
% 18.15/3.11 fof(f489,plain,(
% 18.15/3.11 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(X3,X2)))|~is_a_theorem(implies(X3,X1)))),
% 18.15/3.11 inference(resolution,[status(thm)],[f24,f23])).
% 18.15/3.11 fof(f635,plain,(
% 18.15/3.11 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 18.15/3.11 inference(resolution,[status(thm)],[f127,f311])).
% 18.15/3.13 fof(f677,plain,(
% 18.15/3.13 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 18.15/3.13 inference(resolution,[status(thm)],[f149,f23])).
% 18.15/3.13 fof(f688,plain,(
% 18.15/3.13 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 18.15/3.13 inference(resolution,[status(thm)],[f149,f635])).
% 18.15/3.13 fof(f695,plain,(
% 18.15/3.13 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 18.15/3.13 inference(resolution,[status(thm)],[f688,f9])).
% 18.15/3.13 fof(f924,plain,(
% 18.15/3.13 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 18.15/3.13 inference(resolution,[status(thm)],[f120,f7])).
% 18.15/3.13 fof(f1127,plain,(
% 18.15/3.13 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 18.15/3.13 inference(resolution,[status(thm)],[f677,f695])).
% 18.15/3.13 fof(f2509,plain,(
% 18.15/3.13 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 18.15/3.13 inference(resolution,[status(thm)],[f320,f1127])).
% 18.15/3.13 fof(f2581,plain,(
% 18.15/3.13 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 18.15/3.13 inference(resolution,[status(thm)],[f2509,f320])).
% 18.15/3.13 fof(f3033,plain,(
% 18.15/3.13 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 18.15/3.13 inference(resolution,[status(thm)],[f2581,f127])).
% 18.15/3.13 fof(f3060,plain,(
% 18.15/3.13 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 18.15/3.13 inference(resolution,[status(thm)],[f3033,f147])).
% 18.15/3.13 fof(f3088,plain,(
% 18.15/3.13 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 18.15/3.13 inference(resolution,[status(thm)],[f3060,f688])).
% 18.15/3.13 fof(f3102,plain,(
% 18.15/3.13 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 18.15/3.13 inference(resolution,[status(thm)],[f3088,f924])).
% 18.15/3.13 fof(f3165,plain,(
% 18.15/3.13 ![X0]: (~is_a_theorem(implies(implies(not(x),y),implies(X0,x)))|~is_a_theorem(implies(not(y),X0)))),
% 18.15/3.13 inference(resolution,[status(thm)],[f489,f11])).
% 18.15/3.13 fof(f3694,plain,(
% 18.15/3.13 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 18.15/3.13 inference(resolution,[status(thm)],[f3102,f8])).
% 18.15/3.13 fof(f4266,plain,(
% 18.15/3.13 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 18.15/3.13 inference(resolution,[status(thm)],[f3694,f7])).
% 18.15/3.13 fof(f4448,plain,(
% 18.15/3.13 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 18.15/3.13 inference(resolution,[status(thm)],[f4266,f2581])).
% 18.15/3.13 fof(f5472,plain,(
% 18.15/3.13 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 18.15/3.13 inference(resolution,[status(thm)],[f4448,f147])).
% 18.15/3.13 fof(f6380,plain,(
% 18.15/3.13 ~is_a_theorem(implies(not(y),implies(y,x)))),
% 18.15/3.13 inference(resolution,[status(thm)],[f3165,f2581])).
% 18.15/3.13 fof(f6400,plain,(
% 18.15/3.13 $false),
% 18.15/3.13 inference(forward_subsumption_resolution,[status(thm)],[f6380,f5472])).
% 18.15/3.13 % SZS output end CNFRefutation for theBenchmark.p
% 18.15/3.17 % Elapsed time: 2.662095 seconds
% 18.15/3.17 % CPU time: 20.500053 seconds
% 18.15/3.17 % Total memory used: 189.227 MB
% 18.15/3.17 % Net memory used: 166.440 MB
%------------------------------------------------------------------------------