%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL099-1 : 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 : 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 01:09:21 PM UTC 2026
% Result : Unsatisfiable 26.29s 3.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL099-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n004.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 00:04:50 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 26.29/3.94 % Refutation found
% 26.29/3.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 26.29/3.94 % SZS output start CNFRefutation for theBenchmark
% 26.29/3.94 fof(f1,axiom,(
% 26.29/3.94 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 26.29/3.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.29/3.94 fof(f2,axiom,(
% 26.29/3.94 (![X,Y,Z,U]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),U),U)) ))),
% 26.29/3.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.29/3.94 fof(f3,axiom,(
% 26.29/3.94 (![X,Y,Z,U,V]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),V),V)) ))),
% 26.29/3.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.29/3.94 fof(f4,negated_conjecture,(
% 26.29/3.94 ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),c)),equivalent(equivalent(e,a),falsehood)),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood))) ),
% 26.29/3.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.29/3.94 fof(f5,plain,(
% 26.29/3.94 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 26.29/3.94 inference(miniscoping,[status(thm)],[f1])).
% 26.29/3.94 fof(f6,plain,(
% 26.29/3.94 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 26.29/3.94 inference(cnf_transformation,[status(thm)],[f5])).
% 26.29/3.94 fof(f7,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)))),
% 26.29/3.94 inference(cnf_transformation,[status(thm)],[f2])).
% 26.29/3.94 fof(f8,plain,(
% 26.29/3.94 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)))),
% 26.29/3.94 inference(cnf_transformation,[status(thm)],[f3])).
% 26.29/3.94 fof(f9,plain,(
% 26.29/3.94 ~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),c)),equivalent(equivalent(e,a),falsehood)),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood)))),
% 26.29/3.94 inference(cnf_transformation,[status(thm)],[f4])).
% 26.29/3.94 fof(f10,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3))|is_a_theorem(X3))),
% 26.29/3.94 inference(resolution,[status(thm)],[f7,f6])).
% 26.29/3.94 fof(f11,plain,(
% 26.29/3.94 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4))|is_a_theorem(X4))),
% 26.29/3.94 inference(resolution,[status(thm)],[f8,f6])).
% 26.29/3.94 fof(f12,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f11,f8])).
% 26.29/3.94 fof(f13,plain,(
% 26.29/3.94 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f11,f7])).
% 26.29/3.94 fof(f14,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f13,f11])).
% 26.29/3.94 fof(f15,plain,(
% 26.29/3.94 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f13,f10])).
% 26.29/3.94 fof(f17,plain,(
% 26.29/3.94 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2)))|is_a_theorem(equivalent(X1,X2)))),
% 26.29/3.94 inference(resolution,[status(thm)],[f15,f6])).
% 26.29/3.94 fof(f20,plain,(
% 26.29/3.94 ![X0]: (is_a_theorem(equivalent(X0,X0)))),
% 26.29/3.94 inference(resolution,[status(thm)],[f17,f13])).
% 26.29/3.94 fof(f25,plain,(
% 26.29/3.94 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X0),equivalent(equivalent(X3,X4),X1)))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f12,f11])).
% 26.29/3.94 fof(f26,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X1,X3),X0),equivalent(X3,X2)))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f12,f10])).
% 26.29/3.94 fof(f27,plain,(
% 26.29/3.94 ![X0,X1]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X0))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f12,f17])).
% 26.29/3.94 fof(f28,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|is_a_theorem(equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f12,f6])).
% 26.29/3.94 fof(f37,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3))|is_a_theorem(equivalent(equivalent(X1,X2),X3)))),
% 26.29/3.94 inference(resolution,[status(thm)],[f14,f6])).
% 26.29/3.94 fof(f40,plain,(
% 26.29/3.94 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X0),equivalent(equivalent(X3,X4),X1))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f25,f6])).
% 26.29/3.94 fof(f42,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X3))),equivalent(X1,X3))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f26,f10])).
% 26.29/3.94 fof(f43,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(X1,X2)))|is_a_theorem(equivalent(equivalent(equivalent(X1,X3),X0),equivalent(X3,X2))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f26,f6])).
% 26.29/3.94 fof(f46,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|~is_a_theorem(equivalent(X3,X1))|is_a_theorem(equivalent(equivalent(X0,X3),X2)))),
% 26.29/3.94 inference(resolution,[status(thm)],[f28,f6])).
% 26.29/3.94 fof(f50,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X2))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f37,f7])).
% 26.29/3.94 fof(f59,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),equivalent(equivalent(X3,X0),equivalent(X3,X1))))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f37,f27])).
% 26.29/3.94 fof(f60,plain,(
% 26.29/3.94 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f37,f20])).
% 26.29/3.94 fof(f64,plain,(
% 26.29/3.94 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f60,f6])).
% 26.29/3.94 fof(f66,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|is_a_theorem(equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X2)))),
% 26.29/3.94 inference(resolution,[status(thm)],[f64,f10])).
% 26.29/3.94 fof(f69,plain,(
% 26.29/3.94 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X2,X0))|is_a_theorem(equivalent(X2,X1)))),
% 26.29/3.94 inference(resolution,[status(thm)],[f64,f6])).
% 26.29/3.94 fof(f72,plain,(
% 26.29/3.94 ![X0]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood)))|~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),c)),equivalent(equivalent(e,a),falsehood)),X0)))),
% 26.29/3.94 inference(resolution,[status(thm)],[f69,f9])).
% 26.29/3.94 fof(f75,plain,(
% 26.29/3.94 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X2,X0))|~is_a_theorem(X2)|is_a_theorem(X1))),
% 26.29/3.94 inference(resolution,[status(thm)],[f69,f6])).
% 26.29/3.94 fof(f79,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|~is_a_theorem(equivalent(equivalent(X3,X0),equivalent(X3,X1)))|is_a_theorem(X2))),
% 26.29/3.94 inference(resolution,[status(thm)],[f75,f15])).
% 26.29/3.94 fof(f134,plain,(
% 26.29/3.94 ![X0]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(b,a),c)),equivalent(equivalent(a,X0),equivalent(equivalent(e,a),falsehood))),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood))))),
% 26.29/3.94 inference(resolution,[status(thm)],[f72,f12])).
% 26.29/3.94 fof(f144,plain,(
% 26.29/3.94 ~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),equivalent(equivalent(a,b),e))),equivalent(equivalent(e,a),falsehood)),falsehood))),
% 26.29/3.94 inference(resolution,[status(thm)],[f134,f40])).
% 26.29/3.94 fof(f201,plain,(
% 26.29/3.94 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X3))))|is_a_theorem(equivalent(X1,X3)))),
% 26.29/3.94 inference(resolution,[status(thm)],[f42,f6])).
% 26.29/3.94 fof(f215,plain,(
% 26.29/3.94 ![X0]: (~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),equivalent(equivalent(a,b),e))),X0),falsehood))|~is_a_theorem(equivalent(equivalent(equivalent(e,a),falsehood),X0)))),
% 23.94/3.97 inference(resolution,[status(thm)],[f46,f144])).
% 23.94/3.97 fof(f251,plain,(
% 23.94/3.97 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X2)),equivalent(X1,X0)))))),
% 23.94/3.97 inference(resolution,[status(thm)],[f59,f17])).
% 23.94/3.97 fof(f259,plain,(
% 23.94/3.97 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X2)),X0)))))),
% 23.94/3.97 inference(resolution,[status(thm)],[f251,f17])).
% 23.94/3.97 fof(f333,plain,(
% 23.94/3.97 ![X0]: (~is_a_theorem(equivalent(equivalent(equivalent(e,a),falsehood),equivalent(a,X0)))|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(a,b),e)),X0),falsehood)))),
% 23.94/3.97 inference(resolution,[status(thm)],[f215,f66])).
% 23.94/3.97 fof(f358,plain,(
% 23.94/3.97 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2))|is_a_theorem(X2))),
% 23.94/3.97 inference(resolution,[status(thm)],[f79,f12])).
% 23.94/3.97 fof(f455,plain,(
% 23.94/3.97 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(equivalent(equivalent(X2,X2),X0),X1)))),
% 23.94/3.97 inference(resolution,[status(thm)],[f358,f64])).
% 23.94/3.97 fof(f602,plain,(
% 23.94/3.97 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))))),
% 23.94/3.97 inference(resolution,[status(thm)],[f455,f12])).
% 23.94/3.97 fof(f832,plain,(
% 23.94/3.97 ![X0]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(a,b),e)),X0),falsehood))|~is_a_theorem(equivalent(falsehood,equivalent(e,X0))))),
% 23.94/3.97 inference(resolution,[status(thm)],[f333,f43])).
% 23.94/3.97 fof(f840,plain,(
% 23.94/3.97 ![X0]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(a,b),e)),equivalent(equivalent(e,equivalent(X0,X0)),falsehood)),falsehood)))),
% 23.94/3.97 inference(resolution,[status(thm)],[f832,f259])).
% 23.94/3.97 fof(f845,plain,(
% 23.94/3.97 ![X0,X1]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(a,b),e)),X0),falsehood))|~is_a_theorem(equivalent(equivalent(equivalent(e,equivalent(X1,X1)),falsehood),X0)))),
% 23.94/3.97 inference(resolution,[status(thm)],[f840,f46])).
% 23.94/3.97 fof(f1236,plain,(
% 23.94/3.97 ![X0,X1]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X1)))),
% 23.94/3.97 inference(resolution,[status(thm)],[f201,f50])).
% 23.94/3.97 fof(f1319,plain,(
% 23.94/3.97 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X1)),equivalent(X0,X2)),X2)))),
% 23.94/3.97 inference(resolution,[status(thm)],[f1236,f201])).
% 23.94/3.97 fof(f1339,plain,(
% 23.94/3.97 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X1)),X2)),X2)))),
% 23.94/3.97 inference(resolution,[status(thm)],[f1319,f17])).
% 23.94/3.97 fof(f1672,plain,(
% 23.94/3.97 ![X0,X1]: (~is_a_theorem(equivalent(equivalent(equivalent(e,equivalent(X0,X0)),falsehood),equivalent(equivalent(b,a),X1)))|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),e),X1),falsehood)))),
% 23.94/3.97 inference(resolution,[status(thm)],[f845,f66])).
% 23.94/3.97 fof(f2561,plain,(
% 23.94/3.97 ![X0]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),e),equivalent(equivalent(a,b),equivalent(equivalent(e,equivalent(X0,X0)),falsehood))),falsehood)))),
% 23.94/3.97 inference(resolution,[status(thm)],[f1672,f602])).
% 23.94/3.97 fof(f3426,plain,(
% 23.94/3.97 ![X0]: (~is_a_theorem(equivalent(equivalent(e,equivalent(equivalent(e,equivalent(X0,X0)),falsehood)),falsehood)))),
% 23.94/3.97 inference(resolution,[status(thm)],[f2561,f66])).
% 23.94/3.97 fof(f3435,plain,(
% 23.94/3.97 $false),
% 23.94/3.97 inference(forward_subsumption_resolution,[status(thm)],[f3426,f1339])).
% 23.94/3.97 % SZS output end CNFRefutation for theBenchmark.p
% 23.94/4.00 % Elapsed time: 3.530739 seconds
% 23.94/4.00 % CPU time: 27.316648 seconds
% 23.94/4.00 % Total memory used: 214.635 MB
% 23.94/4.00 % Net memory used: 189.249 MB
%------------------------------------------------------------------------------