%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL110-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 01:09:23 PM UTC 2026
% Result : Unsatisfiable 0.15s 15.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL110-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.15/15.70 % CPULimit : 300
% 0.15/15.70 % WCLimit : 300
% 0.15/15.70 % DateTime : Mon Sep 21 00:08:19 UTC 2026
% 0.15/15.70 % CPUTime :
% 0.15/15.71 % Drodi V4.1.1
% 0.15/15.77 % Refutation found
% 0.15/15.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/15.77 % SZS output start CNFRefutation for theBenchmark
% 0.15/15.77 fof(f1,axiom,(
% 0.15/15.77 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.15/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/15.77 fof(f2,axiom,(
% 0.15/15.77 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.15/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/15.77 fof(f3,axiom,(
% 0.15/15.77 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 0.15/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/15.77 fof(f4,axiom,(
% 0.15/15.77 (![X,Y]: (is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))) ))),
% 0.15/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/15.77 fof(f5,axiom,(
% 0.15/15.77 (![X,Y]: (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ))),
% 0.15/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/15.77 fof(f6,negated_conjecture,(
% 0.15/15.77 ~ is_a_theorem(implies(not(not(a)),a)) ),
% 0.15/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/15.77 fof(f7,plain,(
% 0.15/15.77 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.15/15.77 inference(miniscoping,[status(thm)],[f1])).
% 0.15/15.77 fof(f8,plain,(
% 0.15/15.77 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.15/15.77 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/15.77 fof(f9,plain,(
% 0.15/15.77 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.15/15.77 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/15.77 fof(f10,plain,(
% 0.15/15.77 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 0.15/15.77 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/15.77 fof(f11,plain,(
% 0.15/15.77 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))))),
% 0.15/15.77 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/15.77 fof(f12,plain,(
% 0.15/15.77 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 0.15/15.77 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/15.77 fof(f13,plain,(
% 0.15/15.77 ~is_a_theorem(implies(not(not(a)),a))),
% 0.15/15.77 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/15.77 fof(f14,plain,(
% 0.15/15.77 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.15/15.77 inference(resolution,[status(thm)],[f9,f8])).
% 0.15/15.77 fof(f15,plain,(
% 0.15/15.77 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 0.15/15.77 inference(resolution,[status(thm)],[f14,f9])).
% 0.15/15.77 fof(f18,plain,(
% 0.15/15.77 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 0.15/15.77 inference(resolution,[status(thm)],[f10,f8])).
% 0.15/15.77 fof(f20,plain,(
% 0.15/15.77 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X1))|is_a_theorem(implies(implies(X1,X0),X0)))),
% 0.15/15.77 inference(resolution,[status(thm)],[f11,f8])).
% 0.15/15.77 fof(f23,plain,(
% 0.15/15.77 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(not(X1),not(X2)),implies(X2,X1)))))),
% 0.15/15.77 inference(resolution,[status(thm)],[f12,f14])).
% 0.15/15.77 fof(f24,plain,(
% 0.15/15.77 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 0.15/15.77 inference(resolution,[status(thm)],[f18,f8])).
% 0.15/15.77 fof(f28,plain,(
% 0.15/15.77 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0))),
% 0.15/15.77 inference(resolution,[status(thm)],[f20,f8])).
% 0.15/15.77 fof(f36,plain,(
% 0.15/15.77 ![X0]: (~is_a_theorem(implies(not(not(a)),X0))|~is_a_theorem(implies(X0,a)))),
% 0.15/15.77 inference(resolution,[status(thm)],[f24,f13])).
% 0.15/15.77 fof(f43,plain,(
% 0.15/15.77 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),not(X1)),implies(X1,X0)),X2))|is_a_theorem(X2))),
% 0.15/15.77 inference(resolution,[status(thm)],[f28,f23])).
% 0.15/15.77 fof(f48,plain,(
% 0.15/15.77 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 0.15/15.77 inference(resolution,[status(thm)],[f28,f15])).
% 0.15/15.77 fof(f50,plain,(
% 0.15/15.77 ![X0]: (~is_a_theorem(implies(not(not(a)),implies(X0,a)))|~is_a_theorem(implies(implies(a,X0),X0)))),
% 0.15/15.77 inference(resolution,[status(thm)],[f36,f20])).
% 0.15/15.77 fof(f52,plain,(
% 0.15/15.77 ![X0,X1]: (~is_a_theorem(implies(implies(a,X0),X0))|~is_a_theorem(implies(not(not(a)),X1))|~is_a_theorem(implies(X1,implies(X0,a))))),
% 0.15/15.77 inference(resolution,[status(thm)],[f50,f24])).
% 0.15/15.77 fof(f55,plain,(
% 0.15/15.77 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 0.15/15.78 inference(resolution,[status(thm)],[f48,f10])).
% 0.15/15.78 fof(f127,plain,(
% 0.15/15.78 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 0.15/15.78 inference(resolution,[status(thm)],[f43,f55])).
% 0.15/15.78 fof(f169,plain,(
% 0.15/15.78 ![X0]: (~is_a_theorem(implies(implies(a,X0),X0))|~is_a_theorem(implies(not(not(a)),implies(not(a),not(X0)))))),
% 0.15/15.78 inference(resolution,[status(thm)],[f52,f12])).
% 0.15/15.78 fof(f179,plain,(
% 0.15/15.78 ![X0]: (~is_a_theorem(implies(implies(a,X0),X0)))),
% 0.15/15.78 inference(forward_subsumption_resolution,[status(thm)],[f169,f127])).
% 0.15/15.78 fof(f183,plain,(
% 0.15/15.78 $false),
% 0.15/15.78 inference(resolution,[status(thm)],[f179,f23])).
% 0.15/15.78 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/15.79 % Elapsed time: 0.082643 seconds
% 0.15/15.79 % CPU time: 0.390947 seconds
% 0.15/15.79 % Total memory used: 61.706 MB
% 0.15/15.79 % Net memory used: 60.214 MB
%------------------------------------------------------------------------------