%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL111-1 : 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 : n004.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 0.23s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL111-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n004.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 00:05:20 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.23/0.52 % Refutation found
% 0.23/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.23/0.52 fof(f1,axiom,(
% 0.23/0.52 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.23/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.52 fof(f2,axiom,(
% 0.23/0.52 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.23/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.52 fof(f3,axiom,(
% 0.23/0.52 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 0.23/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.52 fof(f4,axiom,(
% 0.23/0.52 (![X,Y]: (is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))) ))),
% 0.23/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.52 fof(f6,negated_conjecture,(
% 0.23/0.52 ~ is_a_theorem(implies(implies(a,b),implies(implies(c,a),implies(c,b)))) ),
% 0.23/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.52 fof(f7,plain,(
% 0.23/0.52 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.23/0.52 inference(miniscoping,[status(thm)],[f1])).
% 0.23/0.52 fof(f8,plain,(
% 0.23/0.52 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.23/0.52 inference(cnf_transformation,[status(thm)],[f7])).
% 0.23/0.52 fof(f9,plain,(
% 0.23/0.52 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.23/0.52 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.52 fof(f10,plain,(
% 0.23/0.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 0.23/0.52 inference(cnf_transformation,[status(thm)],[f3])).
% 0.23/0.52 fof(f11,plain,(
% 0.23/0.52 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))))),
% 0.23/0.52 inference(cnf_transformation,[status(thm)],[f4])).
% 0.23/0.52 fof(f13,plain,(
% 0.23/0.52 ~is_a_theorem(implies(implies(a,b),implies(implies(c,a),implies(c,b))))),
% 0.23/0.52 inference(cnf_transformation,[status(thm)],[f6])).
% 0.23/0.52 fof(f14,plain,(
% 0.23/0.52 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.23/0.52 inference(resolution,[status(thm)],[f9,f8])).
% 0.23/0.52 fof(f15,plain,(
% 0.23/0.52 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 0.23/0.52 inference(resolution,[status(thm)],[f14,f9])).
% 0.23/0.52 fof(f25,plain,(
% 0.23/0.52 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 0.23/0.52 inference(resolution,[status(thm)],[f10,f8])).
% 0.23/0.52 fof(f27,plain,(
% 0.23/0.52 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X1))|is_a_theorem(implies(implies(X1,X0),X0)))),
% 0.23/0.52 inference(resolution,[status(thm)],[f11,f8])).
% 0.23/0.52 fof(f28,plain,(
% 0.23/0.52 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))))),
% 0.23/0.52 inference(resolution,[status(thm)],[f11,f14])).
% 0.23/0.52 fof(f29,plain,(
% 0.23/0.52 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 0.23/0.52 inference(resolution,[status(thm)],[f25,f8])).
% 0.23/0.52 fof(f31,plain,(
% 0.23/0.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)))),
% 0.23/0.52 inference(resolution,[status(thm)],[f27,f15])).
% 0.23/0.52 fof(f57,plain,(
% 0.23/0.52 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0))),
% 0.23/0.52 inference(resolution,[status(thm)],[f27,f8])).
% 0.23/0.52 fof(f59,plain,(
% 0.23/0.52 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 0.23/0.52 inference(resolution,[status(thm)],[f31,f8])).
% 0.23/0.52 fof(f61,plain,(
% 0.23/0.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 0.23/0.52 inference(resolution,[status(thm)],[f59,f10])).
% 0.23/0.52 fof(f83,plain,(
% 0.23/0.52 ![X0]: (~is_a_theorem(implies(implies(a,b),X0))|~is_a_theorem(implies(X0,implies(implies(c,a),implies(c,b)))))),
% 0.23/0.52 inference(resolution,[status(thm)],[f29,f13])).
% 0.23/0.52 fof(f119,plain,(
% 0.23/0.52 ![X0]: (~is_a_theorem(implies(implies(a,b),implies(X0,implies(c,b))))|~is_a_theorem(implies(implies(c,a),X0)))),
% 0.23/0.52 inference(resolution,[status(thm)],[f83,f25])).
% 0.23/0.52 fof(f144,plain,(
% 0.23/0.52 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0)),X2))|is_a_theorem(X2))),
% 0.23/0.52 inference(resolution,[status(thm)],[f57,f28])).
% 0.23/0.52 fof(f287,plain,(
% 0.23/0.52 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 0.23/0.52 inference(resolution,[status(thm)],[f61,f144])).
% 0.23/0.52 fof(f344,plain,(
% 0.23/0.55 ~is_a_theorem(implies(implies(c,a),implies(implies(a,b),implies(c,b))))),
% 0.23/0.55 inference(resolution,[status(thm)],[f119,f287])).
% 0.23/0.55 fof(f348,plain,(
% 0.23/0.55 $false),
% 0.23/0.55 inference(forward_subsumption_resolution,[status(thm)],[f344,f10])).
% 0.23/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.55 % Elapsed time: 0.109442 seconds
% 0.23/0.55 % CPU time: 0.486000 seconds
% 0.23/0.55 % Total memory used: 61.363 MB
% 0.23/0.55 % Net memory used: 59.959 MB
%------------------------------------------------------------------------------