%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL076-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 01:09:19 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL076-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.56 % Computer : n011.cluster.edu
% 0.08/0.56 % Model : x86_64 x86_64
% 0.08/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.56 % Memory : 8046.5625MB
% 0.08/0.56 % OS : Linux 6.8.0-71-generic
% 0.08/0.56 % CPULimit : 300
% 0.08/0.56 % WCLimit : 300
% 0.08/0.56 % DateTime : Mon Sep 21 00:03:55 UTC 2026
% 0.08/0.56 % CPUTime :
% 0.08/0.57 % Drodi V4.1.1
% 0.08/0.60 % Refutation found
% 0.08/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.60 fof(f1,axiom,(
% 0.08/0.60 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.08/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.60 fof(f2,axiom,(
% 0.08/0.60 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.08/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.60 fof(f3,axiom,(
% 0.08/0.60 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 0.08/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.60 fof(f4,axiom,(
% 0.08/0.60 (![X,Y]: (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ))),
% 0.08/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.60 fof(f5,axiom,(
% 0.08/0.60 (![X1,X2,X3]: (( ~ is_a_theorem(implies(X1,X2))| ~ is_a_theorem(implies(X2,X3))| is_a_theorem(implies(X1,X3)) ) ))),
% 0.08/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.60 fof(f6,negated_conjecture,(
% 0.08/0.60 ~ is_a_theorem(implies(a,not(not(a)))) ),
% 0.08/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.60 fof(f7,plain,(
% 0.08/0.60 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.08/0.60 inference(miniscoping,[status(thm)],[f1])).
% 0.08/0.60 fof(f8,plain,(
% 0.08/0.60 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.08/0.60 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.60 fof(f9,plain,(
% 0.08/0.60 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.08/0.60 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.60 fof(f10,plain,(
% 0.08/0.60 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 0.08/0.60 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.60 fof(f11,plain,(
% 0.08/0.60 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 0.08/0.60 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.60 fof(f12,plain,(
% 0.08/0.60 ![X1,X3]: ((![X2]: (~is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X2,X3))))|is_a_theorem(implies(X1,X3)))),
% 0.08/0.60 inference(miniscoping,[status(thm)],[f5])).
% 0.08/0.60 fof(f13,plain,(
% 0.08/0.60 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 0.08/0.60 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/0.60 fof(f14,plain,(
% 0.08/0.60 ~is_a_theorem(implies(a,not(not(a))))),
% 0.08/0.60 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.60 fof(f15,plain,(
% 0.08/0.60 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.08/0.60 inference(resolution,[status(thm)],[f9,f8])).
% 0.08/0.60 fof(f16,plain,(
% 0.08/0.60 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 0.08/0.60 inference(resolution,[status(thm)],[f15,f9])).
% 0.08/0.60 fof(f19,plain,(
% 0.08/0.60 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 0.08/0.60 inference(resolution,[status(thm)],[f10,f8])).
% 0.08/0.60 fof(f21,plain,(
% 0.08/0.60 ![X0,X1]: (~is_a_theorem(implies(not(X0),not(X1)))|is_a_theorem(implies(X1,X0)))),
% 0.08/0.60 inference(resolution,[status(thm)],[f11,f8])).
% 0.08/0.60 fof(f23,plain,(
% 0.08/0.60 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(not(X1),not(X0)),X2)))),
% 0.08/0.60 inference(resolution,[status(thm)],[f13,f11])).
% 0.08/0.60 fof(f26,plain,(
% 0.08/0.60 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 0.08/0.60 inference(resolution,[status(thm)],[f13,f9])).
% 0.08/0.60 fof(f28,plain,(
% 0.08/0.60 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X0,X1)),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))))),
% 0.08/0.60 inference(resolution,[status(thm)],[f19,f10])).
% 0.08/0.60 fof(f30,plain,(
% 0.08/0.60 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(X0,X0))))),
% 0.08/0.60 inference(resolution,[status(thm)],[f19,f9])).
% 0.08/0.60 fof(f33,plain,(
% 0.08/0.60 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X0)))),
% 0.08/0.60 inference(resolution,[status(thm)],[f30,f8])).
% 0.08/0.60 fof(f38,plain,(
% 0.08/0.60 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 0.08/0.60 inference(resolution,[status(thm)],[f33,f16])).
% 0.08/0.60 fof(f43,plain,(
% 0.08/0.60 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 0.08/0.60 inference(resolution,[status(thm)],[f38,f15])).
% 0.08/0.60 fof(f45,plain,(
% 0.08/0.60 ![X0,X1]: (is_a_theorem(implies(implies(not(not(X0)),not(not(X1))),implies(X0,X1))))),
% 0.08/0.60 inference(resolution,[status(thm)],[f23,f11])).
% 0.08/0.60 fof(f88,plain,(
% 0.08/0.60 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X1)))|is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X2))))),
% 0.08/0.60 inference(resolution,[status(thm)],[f28,f8])).
% 0.08/0.60 fof(f97,plain,(
% 0.08/0.60 ![X0,X1]: (is_a_theorem(implies(not(not(X0)),implies(X1,X0))))),
% 0.08/0.60 inference(resolution,[status(thm)],[f45,f26])).
% 0.08/0.60 fof(f523,plain,(
% 0.08/0.60 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))))),
% 0.08/0.60 inference(resolution,[status(thm)],[f88,f43])).
% 0.08/0.60 fof(f801,plain,(
% 0.08/0.60 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1)))),
% 0.08/0.60 inference(resolution,[status(thm)],[f523,f8])).
% 0.08/0.60 fof(f920,plain,(
% 0.08/0.60 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 0.08/0.60 inference(resolution,[status(thm)],[f801,f97])).
% 0.08/0.60 fof(f947,plain,(
% 0.08/0.60 ![X0]: (is_a_theorem(implies(X0,not(not(X0)))))),
% 0.08/0.60 inference(resolution,[status(thm)],[f920,f21])).
% 0.08/0.60 fof(f956,plain,(
% 0.08/0.60 $false),
% 0.08/0.60 inference(backward_subsumption_resolution,[status(thm)],[f14,f947])).
% 0.08/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.62 % Elapsed time: 0.052087 seconds
% 0.08/0.62 % CPU time: 0.256471 seconds
% 0.08/0.62 % Total memory used: 24.197 MB
% 0.08/0.62 % Net memory used: 23.435 MB
%------------------------------------------------------------------------------