%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL080-1 : 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 : n009.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 14.71s 2.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL080-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 % Computer : n009.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Mon Sep 21 00:03:42 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.18/0.43 % Drodi V4.1.1
% 14.71/2.37 % Refutation found
% 14.71/2.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.71/2.37 % SZS output start CNFRefutation for theBenchmark
% 14.71/2.37 fof(f1,axiom,(
% 14.71/2.37 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 14.71/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.71/2.37 fof(f2,axiom,(
% 14.71/2.37 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 14.71/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.71/2.37 fof(f3,axiom,(
% 14.71/2.37 (![X,Y]: (is_a_theorem(implies(implies(implies(X,Y),X),X)) ))),
% 14.71/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.71/2.37 fof(f4,axiom,(
% 14.71/2.37 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 14.71/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.71/2.37 fof(f5,negated_conjecture,(
% 14.71/2.37 ~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))) ),
% 14.71/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.71/2.37 fof(f6,plain,(
% 14.71/2.37 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 14.71/2.37 inference(miniscoping,[status(thm)],[f1])).
% 14.71/2.37 fof(f7,plain,(
% 14.71/2.37 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 14.71/2.37 inference(cnf_transformation,[status(thm)],[f6])).
% 14.71/2.37 fof(f8,plain,(
% 14.71/2.37 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 14.71/2.37 inference(cnf_transformation,[status(thm)],[f2])).
% 14.71/2.37 fof(f9,plain,(
% 14.71/2.37 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0)))),
% 14.71/2.37 inference(cnf_transformation,[status(thm)],[f3])).
% 14.71/2.37 fof(f10,plain,(
% 14.71/2.37 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 14.71/2.37 inference(cnf_transformation,[status(thm)],[f4])).
% 14.71/2.37 fof(f11,plain,(
% 14.71/2.37 ~is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a))))),
% 14.71/2.37 inference(cnf_transformation,[status(thm)],[f5])).
% 14.71/2.37 fof(f12,plain,(
% 14.71/2.37 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 14.71/2.37 inference(resolution,[status(thm)],[f8,f7])).
% 14.71/2.37 fof(f13,plain,(
% 14.71/2.37 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 14.71/2.37 inference(resolution,[status(thm)],[f12,f8])).
% 14.71/2.37 fof(f14,plain,(
% 14.71/2.37 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0))),
% 14.71/2.37 inference(resolution,[status(thm)],[f9,f7])).
% 14.71/2.37 fof(f15,plain,(
% 14.71/2.37 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))))),
% 14.71/2.37 inference(resolution,[status(thm)],[f9,f12])).
% 14.71/2.37 fof(f17,plain,(
% 14.71/2.37 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1))))),
% 14.71/2.37 inference(resolution,[status(thm)],[f13,f7])).
% 14.71/2.37 fof(f19,definition,(
% 14.71/2.37 ![X0]: (sQ0_spl <=> (~is_a_theorem(X0)))),
% 14.71/2.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 14.71/2.37 fof(f20,plain,(
% 14.71/2.37 ![X0]: (~is_a_theorem(X0)|~sQ0_spl)),
% 14.71/2.37 inference(component_clause,[status(thm)],[f19])).
% 14.71/2.37 fof(f22,definition,(
% 14.71/2.37 ![X1,X2]: (sQ1_spl <=> (is_a_theorem(implies(X1,implies(X2,X1)))))),
% 14.71/2.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 14.71/2.37 fof(f23,plain,(
% 14.71/2.37 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~sQ1_spl)),
% 14.71/2.37 inference(component_clause,[status(thm)],[f22])).
% 14.71/2.37 fof(f25,plain,(
% 14.71/2.37 sQ0_spl|sQ1_spl),
% 14.71/2.37 inference(split_clause,[status(thm)],[f17,f19,f22])).
% 14.71/2.37 fof(f26,plain,(
% 14.71/2.37 $false|~sQ0_spl),
% 14.71/2.37 inference(backward_subsumption_resolution,[status(thm)],[f9,f20])).
% 14.71/2.37 fof(f29,plain,(
% 14.71/2.37 ~sQ0_spl),
% 14.71/2.37 inference(contradiction_clause,[status(thm)],[f26])).
% 14.71/2.37 fof(f32,plain,(
% 14.71/2.37 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 14.71/2.37 inference(resolution,[status(thm)],[f10,f7])).
% 14.71/2.37 fof(f54,plain,(
% 14.71/2.37 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1))))),
% 14.71/2.37 inference(resolution,[status(thm)],[f32,f9])).
% 14.71/2.37 fof(f55,plain,(
% 14.71/2.37 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 14.71/2.37 inference(resolution,[status(thm)],[f32,f10])).
% 14.71/2.37 fof(f59,plain,(
% 14.71/2.37 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~sQ1_spl)),
% 14.71/2.37 inference(resolution,[status(thm)],[f32,f23])).
% 14.71/2.37 fof(f60,plain,(
% 14.71/2.37 ![X0]: (is_a_theorem(implies(X0,X0))|~sQ1_spl)),
% 14.71/2.37 inference(resolution,[status(thm)],[f59,f14])).
% 14.71/2.37 fof(f62,plain,(
% 14.71/2.37 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2))|~sQ1_spl)),
% 14.71/2.37 inference(resolution,[status(thm)],[f59,f7])).
% 14.71/2.37 fof(f91,plain,(
% 14.71/2.37 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),X2),X3),implies(implies(X0,X2),X3))))),
% 14.71/2.37 inference(resolution,[status(thm)],[f54,f32])).
% 14.71/2.37 fof(f92,plain,(
% 14.71/2.37 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(implies(X0,X2),X0),X1)))),
% 14.71/2.37 inference(resolution,[status(thm)],[f54,f7])).
% 14.71/2.37 fof(f96,plain,(
% 14.71/2.37 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 14.71/2.37 inference(resolution,[status(thm)],[f55,f7])).
% 14.71/2.37 fof(f111,plain,(
% 14.71/2.37 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))|~sQ1_spl)),
% 14.71/2.37 inference(resolution,[status(thm)],[f62,f10])).
% 14.71/2.37 fof(f424,plain,(
% 14.71/2.37 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(X0,X1)),implies(implies(X1,X3),implies(X0,X3)))))),
% 14.71/2.37 inference(resolution,[status(thm)],[f92,f10])).
% 14.71/2.37 fof(f431,plain,(
% 14.71/2.37 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X2),implies(X3,X2))))|~sQ1_spl)),
% 14.71/2.37 inference(resolution,[status(thm)],[f92,f111])).
% 14.71/2.37 fof(f447,plain,(
% 14.71/2.37 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(implies(X0,X4),X0),X3)))|~sQ1_spl)),
% 14.71/2.37 inference(resolution,[status(thm)],[f431,f32])).
% 14.71/2.37 fof(f528,plain,(
% 14.71/2.37 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),implies(implies(X1,X3),implies(X0,X3)))))),
% 14.71/2.37 inference(resolution,[status(thm)],[f96,f91])).
% 14.71/2.37 fof(f533,plain,(
% 14.71/2.37 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X1,X3),X1),implies(X0,implies(X4,X2)))))|~sQ1_spl)),
% 14.71/2.37 inference(resolution,[status(thm)],[f96,f447])).
% 14.71/2.37 fof(f538,plain,(
% 14.71/2.37 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(implies(X1,X2),implies(X0,X2)))))),
% 14.71/2.37 inference(resolution,[status(thm)],[f96,f424])).
% 14.71/2.37 fof(f575,plain,(
% 14.71/2.37 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,implies(X2,X0)),X3))))),
% 14.71/2.37 inference(resolution,[status(thm)],[f538,f32])).
% 14.71/2.37 fof(f594,plain,(
% 14.71/2.37 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(implies(X1,X3),X1),implies(X0,implies(X4,X2))))|~sQ1_spl)),
% 14.71/2.37 inference(resolution,[status(thm)],[f533,f7])).
% 14.71/2.37 fof(f599,plain,(
% 14.71/2.37 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,implies(X3,X1)),implies(X0,implies(X3,X2))))))),
% 14.71/2.37 inference(resolution,[status(thm)],[f575,f96])).
% 14.71/2.37 fof(f669,plain,(
% 14.71/2.37 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),X2),implies(implies(X0,X1),X0)),implies(X3,implies(X4,X0))))|~sQ1_spl)),
% 14.71/2.37 inference(resolution,[status(thm)],[f594,f15])).
% 14.71/2.37 fof(f687,plain,(
% 14.71/2.37 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,implies(X2,X0)),implies(implies(X1,X3),implies(X2,X3))))))),
% 14.71/2.37 inference(resolution,[status(thm)],[f599,f96])).
% 14.71/2.37 fof(f768,plain,(
% 14.71/2.37 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X2,implies(X2,X0)),implies(implies(X1,X3),implies(X2,X3)))))),
% 14.71/2.37 inference(resolution,[status(thm)],[f687,f7])).
% 14.71/2.37 fof(f969,plain,(
% 14.71/2.37 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(X0,implies(X0,implies(implies(X1,X2),X3))),implies(implies(implies(X2,X3),X4),implies(X0,X4))))|~sQ1_spl)),
% 14.71/2.37 inference(resolution,[status(thm)],[f768,f59])).
% 14.71/2.37 fof(f1522,plain,(
% 14.71/2.37 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X3)),implies(implies(implies(X2,X3),X4),implies(X0,X4))))|~sQ1_spl)),
% 14.71/2.37 inference(resolution,[status(thm)],[f969,f62])).
% 14.71/2.37 fof(f1534,plain,(
% 14.71/2.37 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),X4),implies(implies(X2,X3),X4))))|~sQ1_spl)),
% 14.71/2.37 inference(resolution,[status(thm)],[f1522,f96])).
% 14.71/2.37 fof(f1631,plain,(
% 14.71/2.37 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(implies(X1,X3),X4),implies(implies(X2,X3),X4)))|~sQ1_spl)),
% 14.71/2.40 inference(resolution,[status(thm)],[f1534,f7])).
% 14.71/2.40 fof(f1638,plain,(
% 14.71/2.40 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),X2),X3),implies(implies(implies(X4,implies(X5,X0)),X2),X3)))|~sQ1_spl)),
% 14.71/2.40 inference(resolution,[status(thm)],[f1631,f669])).
% 14.71/2.40 fof(f2358,plain,(
% 14.71/2.40 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),implies(implies(implies(X3,implies(X4,X1)),X5),implies(X0,X5))))|~sQ1_spl)),
% 14.71/2.40 inference(resolution,[status(thm)],[f1638,f96])).
% 14.71/2.40 fof(f3390,plain,(
% 14.71/2.40 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X3,implies(X4,X0)),X5),implies(implies(X2,X0),X5))))|~sQ1_spl)),
% 14.71/2.40 inference(resolution,[status(thm)],[f2358,f96])).
% 14.71/2.40 fof(f4848,plain,(
% 14.71/2.40 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))|is_a_theorem(implies(implies(X1,X3),implies(X0,X3))))),
% 14.71/2.40 inference(resolution,[status(thm)],[f528,f7])).
% 14.71/2.40 fof(f4942,plain,(
% 14.71/2.40 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(implies(X1,X4),X0),X3)))|~sQ1_spl)),
% 14.71/2.40 inference(resolution,[status(thm)],[f4848,f3390])).
% 14.71/2.40 fof(f5094,plain,(
% 14.71/2.40 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X2,X3),X1),implies(X0,implies(X4,X2)))))|~sQ1_spl)),
% 14.71/2.40 inference(resolution,[status(thm)],[f4942,f96])).
% 14.71/2.40 fof(f5140,plain,(
% 14.71/2.40 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(implies(X2,X3),X1),implies(X0,implies(X4,X2))))|~sQ1_spl)),
% 14.71/2.40 inference(resolution,[status(thm)],[f5094,f7])).
% 14.71/2.40 fof(f5342,plain,(
% 14.71/2.40 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0))))|~sQ1_spl)),
% 14.71/2.40 inference(resolution,[status(thm)],[f5140,f60])).
% 14.71/2.40 fof(f5343,plain,(
% 14.71/2.40 $false|~sQ1_spl),
% 14.71/2.40 inference(backward_subsumption_resolution,[status(thm)],[f11,f5342])).
% 14.71/2.40 fof(f5372,plain,(
% 14.71/2.40 ~sQ1_spl),
% 14.71/2.40 inference(contradiction_clause,[status(thm)],[f5343])).
% 14.71/2.40 fof(f5373,plain,(
% 14.71/2.40 $false),
% 14.71/2.40 inference(sat_refutation,[status(thm)],[f25,f29,f5372])).
% 14.71/2.40 % SZS output end CNFRefutation for theBenchmark.p
% 2.68/2.42 % Elapsed time: 1.989440 seconds
% 2.68/2.42 % CPU time: 15.453679 seconds
% 2.68/2.42 % Total memory used: 195.132 MB
% 2.68/2.42 % Net memory used: 169.225 MB
%------------------------------------------------------------------------------