%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL080-2 : 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 : n013.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 43.68s 5.93s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL080-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.37 % Computer : n013.cluster.edu
% 0.03/0.37 % Model : x86_64 x86_64
% 0.03/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.37 % Memory : 8046.5625MB
% 0.03/0.37 % OS : Linux 6.8.0-71-generic
% 0.03/0.37 % CPULimit : 300
% 0.03/0.37 % WCLimit : 300
% 0.03/0.37 % DateTime : Mon Sep 21 00:03:36 UTC 2026
% 0.03/0.38 % CPUTime :
% 0.03/0.39 % Drodi V4.1.1
% 43.68/5.93 % Refutation found
% 43.68/5.93 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 43.68/5.93 % SZS output start CNFRefutation for theBenchmark
% 43.68/5.93 fof(f1,axiom,(
% 43.68/5.93 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 43.68/5.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.68/5.93 fof(f3,axiom,(
% 43.68/5.93 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 43.68/5.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.68/5.93 fof(f4,axiom,(
% 43.68/5.93 (![X,Y]: (is_a_theorem(implies(implies(implies(X,Y),X),X)) ))),
% 43.68/5.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.68/5.93 fof(f5,axiom,(
% 43.68/5.93 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 43.68/5.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.68/5.93 fof(f6,negated_conjecture,(
% 43.68/5.93 ~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))) ),
% 43.68/5.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.68/5.93 fof(f7,plain,(
% 43.68/5.93 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 43.68/5.93 inference(miniscoping,[status(thm)],[f1])).
% 43.68/5.93 fof(f8,plain,(
% 43.68/5.93 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 43.68/5.93 inference(cnf_transformation,[status(thm)],[f7])).
% 43.68/5.93 fof(f10,plain,(
% 43.68/5.93 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 43.68/5.93 inference(cnf_transformation,[status(thm)],[f3])).
% 43.68/5.93 fof(f11,plain,(
% 43.68/5.93 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0)))),
% 43.68/5.93 inference(cnf_transformation,[status(thm)],[f4])).
% 43.68/5.93 fof(f12,plain,(
% 43.68/5.93 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 43.68/5.93 inference(cnf_transformation,[status(thm)],[f5])).
% 43.68/5.93 fof(f13,plain,(
% 43.68/5.93 ~is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a))))),
% 43.68/5.93 inference(cnf_transformation,[status(thm)],[f6])).
% 43.68/5.93 fof(f15,plain,(
% 43.68/5.93 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 43.68/5.93 inference(resolution,[status(thm)],[f10,f8])).
% 43.68/5.93 fof(f25,plain,(
% 43.68/5.93 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0))),
% 43.68/5.93 inference(resolution,[status(thm)],[f11,f8])).
% 43.68/5.93 fof(f27,plain,(
% 43.68/5.93 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 43.68/5.93 inference(resolution,[status(thm)],[f12,f8])).
% 43.68/5.93 fof(f28,plain,(
% 43.68/5.93 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1)))),
% 43.68/5.93 inference(resolution,[status(thm)],[f27,f25])).
% 43.68/5.93 fof(f29,plain,(
% 43.68/5.93 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 43.68/5.93 inference(resolution,[status(thm)],[f27,f8])).
% 43.68/5.93 fof(f31,plain,(
% 43.68/5.93 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(implies(X0,X1),X0)))),
% 43.68/5.93 inference(resolution,[status(thm)],[f28,f27])).
% 43.68/5.93 fof(f39,plain,(
% 43.68/5.93 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3)))))),
% 43.68/5.93 inference(resolution,[status(thm)],[f29,f12])).
% 43.68/5.93 fof(f41,plain,(
% 43.68/5.93 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(X2,X1))))),
% 43.68/5.93 inference(resolution,[status(thm)],[f29,f10])).
% 43.68/5.93 fof(f45,plain,(
% 43.68/5.93 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(X0))),
% 43.68/5.93 inference(resolution,[status(thm)],[f31,f15])).
% 43.68/5.93 fof(f57,plain,(
% 43.68/5.93 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))))),
% 43.68/5.93 inference(resolution,[status(thm)],[f41,f11])).
% 43.68/5.93 fof(f65,plain,(
% 43.68/5.93 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))))),
% 43.68/5.93 inference(resolution,[status(thm)],[f39,f12])).
% 43.68/5.93 fof(f141,plain,(
% 43.68/5.93 ![X0]: (~is_a_theorem(implies(implies(implies(a,b),c),X0))|~is_a_theorem(implies(X0,implies(implies(c,a),implies(e,a)))))),
% 43.68/5.93 inference(resolution,[status(thm)],[f29,f13])).
% 43.68/5.93 fof(f728,plain,(
% 43.68/5.93 ![X0,X1]: (~is_a_theorem(implies(implies(implies(implies(implies(a,b),X0),X1),implies(implies(c,X0),X1)),implies(implies(c,a),implies(e,a)))))),
% 43.68/5.93 inference(resolution,[status(thm)],[f65,f141])).
% 43.68/5.93 fof(f9643,plain,(
% 43.68/5.93 ~is_a_theorem(implies(implies(implies(a,b),a),implies(e,a)))),
% 43.68/5.93 inference(resolution,[status(thm)],[f728,f45])).
% 43.68/5.96 fof(f9652,plain,(
% 43.68/5.96 $false),
% 43.68/5.96 inference(forward_subsumption_resolution,[status(thm)],[f9643,f57])).
% 43.68/5.96 % SZS output end CNFRefutation for theBenchmark.p
% 3.06/6.02 % Elapsed time: 5.627947 seconds
% 3.06/6.02 % CPU time: 44.224135 seconds
% 3.06/6.02 % Total memory used: 313.129 MB
% 3.06/6.02 % Net memory used: 269.269 MB
%------------------------------------------------------------------------------