%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL077-2 : 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 : 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 01:09:19 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL077-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 23:58:56 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.43 % Refutation found
% 0.11/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.43 fof(f1,axiom,(
% 0.11/0.43 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.11/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f2,axiom,(
% 0.11/0.43 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.11/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f3,axiom,(
% 0.11/0.43 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 0.11/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f4,axiom,(
% 0.11/0.43 (![X,Y]: (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ))),
% 0.11/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f5,axiom,(
% 0.11/0.43 (![X1,X2,X3]: (( ~ is_a_theorem(implies(X1,X2))| ~ is_a_theorem(implies(X2,X3))| is_a_theorem(implies(X1,X3)) ) ))),
% 0.11/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f6,negated_conjecture,(
% 0.11/0.43 ~ is_a_theorem(implies(not(not(a)),a)) ),
% 0.11/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.44 fof(f7,plain,(
% 0.11/0.44 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.11/0.44 inference(miniscoping,[status(thm)],[f1])).
% 0.11/0.44 fof(f8,plain,(
% 0.11/0.44 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.11/0.44 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.44 fof(f9,plain,(
% 0.11/0.44 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.11/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.44 fof(f10,plain,(
% 0.11/0.44 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 0.11/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.44 fof(f11,plain,(
% 0.11/0.44 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 0.11/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.44 fof(f12,plain,(
% 0.11/0.44 ![X1,X3]: ((![X2]: (~is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X2,X3))))|is_a_theorem(implies(X1,X3)))),
% 0.11/0.44 inference(miniscoping,[status(thm)],[f5])).
% 0.11/0.44 fof(f13,plain,(
% 0.11/0.44 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 0.11/0.44 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.44 fof(f14,plain,(
% 0.11/0.44 ~is_a_theorem(implies(not(not(a)),a))),
% 0.11/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.44 fof(f15,plain,(
% 0.11/0.44 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.11/0.44 inference(resolution,[status(thm)],[f8,f9])).
% 0.11/0.44 fof(f25,plain,(
% 0.11/0.44 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 0.11/0.44 inference(resolution,[status(thm)],[f10,f8])).
% 0.11/0.44 fof(f56,plain,(
% 0.11/0.44 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2)))),
% 0.11/0.44 inference(resolution,[status(thm)],[f25,f8])).
% 0.11/0.44 fof(f108,plain,(
% 0.11/0.44 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),not(X2))))|is_a_theorem(implies(X0,implies(X2,X1))))),
% 0.11/0.44 inference(resolution,[status(thm)],[f11,f13])).
% 0.11/0.44 fof(f188,plain,(
% 0.11/0.44 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))|is_a_theorem(implies(X0,X2)))),
% 0.11/0.44 inference(resolution,[status(thm)],[f56,f9])).
% 0.11/0.44 fof(f195,plain,(
% 0.11/0.44 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X0),X1)))),
% 0.11/0.44 inference(resolution,[status(thm)],[f188,f15])).
% 0.11/0.44 fof(f231,plain,(
% 0.11/0.44 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 0.11/0.44 inference(resolution,[status(thm)],[f195,f11])).
% 0.11/0.44 fof(f249,plain,(
% 0.11/0.44 ![X0,X1]: (is_a_theorem(implies(not(not(X0)),implies(X1,X0))))),
% 0.11/0.44 inference(resolution,[status(thm)],[f108,f231])).
% 0.11/0.44 fof(f270,plain,(
% 0.11/0.44 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 0.11/0.44 inference(resolution,[status(thm)],[f249,f188])).
% 0.11/0.44 fof(f279,plain,(
% 0.11/0.44 $false),
% 0.11/0.44 inference(backward_subsumption_resolution,[status(thm)],[f14,f270])).
% 0.11/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.46 % Elapsed time: 0.085519 seconds
% 0.11/0.46 % CPU time: 0.451539 seconds
% 0.11/0.46 % Total memory used: 61.448 MB
% 0.11/0.46 % Net memory used: 59.868 MB
%------------------------------------------------------------------------------