%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL030-1 : 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 01:09:14 PM UTC 2026
% Result : Unsatisfiable 131.54s 17.09s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL030-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 00:00:49 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 131.54/17.09 % Refutation found
% 131.54/17.09 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 131.54/17.09 % SZS output start CNFRefutation for theBenchmark
% 131.54/17.09 fof(f1,axiom,(
% 131.54/17.09 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 131.54/17.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.54/17.09 fof(f2,axiom,(
% 131.54/17.09 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 131.54/17.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.54/17.09 fof(f3,axiom,(
% 131.54/17.09 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 131.54/17.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.54/17.09 fof(f4,axiom,(
% 131.54/17.09 (![X,Y]: (is_a_theorem(implies(implies(implies(X,Y),X),X)) ))),
% 131.54/17.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.54/17.09 fof(f6,negated_conjecture,(
% 131.54/17.09 ~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))) ),
% 131.54/17.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.54/17.09 fof(f7,plain,(
% 131.54/17.09 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 131.54/17.09 inference(miniscoping,[status(thm)],[f1])).
% 131.54/17.09 fof(f8,plain,(
% 131.54/17.09 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 131.54/17.09 inference(cnf_transformation,[status(thm)],[f7])).
% 131.54/17.09 fof(f9,plain,(
% 131.54/17.09 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 131.54/17.09 inference(cnf_transformation,[status(thm)],[f2])).
% 131.54/17.09 fof(f10,plain,(
% 131.54/17.09 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 131.54/17.09 inference(cnf_transformation,[status(thm)],[f3])).
% 131.54/17.09 fof(f11,plain,(
% 131.54/17.09 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0)))),
% 131.54/17.09 inference(cnf_transformation,[status(thm)],[f4])).
% 131.54/17.09 fof(f13,plain,(
% 131.54/17.09 ~is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c))))),
% 131.54/17.09 inference(cnf_transformation,[status(thm)],[f6])).
% 131.54/17.09 fof(f15,plain,(
% 131.54/17.09 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 131.54/17.09 inference(resolution,[status(thm)],[f8,f10])).
% 131.54/17.09 fof(f23,plain,(
% 131.54/17.09 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 131.54/17.09 inference(resolution,[status(thm)],[f9,f8])).
% 131.54/17.09 fof(f32,plain,(
% 131.54/17.09 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0))),
% 131.54/17.09 inference(resolution,[status(thm)],[f11,f8])).
% 131.54/17.09 fof(f34,plain,(
% 131.54/17.09 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1)))),
% 131.54/17.09 inference(resolution,[status(thm)],[f23,f32])).
% 131.54/17.09 fof(f35,plain,(
% 131.54/17.09 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 131.54/17.09 inference(resolution,[status(thm)],[f23,f8])).
% 131.54/17.09 fof(f38,plain,(
% 131.54/17.09 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(implies(X0,X1),X0)))),
% 131.54/17.09 inference(resolution,[status(thm)],[f34,f23])).
% 131.54/17.09 fof(f45,plain,(
% 131.54/17.09 ![X0]: (~is_a_theorem(implies(implies(a,implies(b,c)),X0))|~is_a_theorem(implies(X0,implies(implies(a,b),implies(a,c)))))),
% 131.54/17.09 inference(resolution,[status(thm)],[f35,f13])).
% 131.54/17.09 fof(f47,plain,(
% 131.54/17.09 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,implies(X0,X2)))|is_a_theorem(implies(X0,X2)))),
% 131.54/17.09 inference(resolution,[status(thm)],[f35,f34])).
% 131.54/17.09 fof(f133,plain,(
% 131.54/17.09 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(X0))),
% 131.54/17.09 inference(resolution,[status(thm)],[f38,f15])).
% 131.54/17.09 fof(f138,plain,(
% 131.54/17.09 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)))),
% 131.54/17.09 inference(resolution,[status(thm)],[f133,f10])).
% 131.54/17.09 fof(f139,plain,(
% 131.54/17.09 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),X2))|~is_a_theorem(X1))),
% 131.54/17.09 inference(resolution,[status(thm)],[f133,f15])).
% 131.54/17.09 fof(f159,plain,(
% 131.54/17.09 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))|is_a_theorem(implies(X0,X1)))),
% 131.54/17.09 inference(resolution,[status(thm)],[f35,f11])).
% 131.54/17.09 fof(f161,plain,(
% 131.54/17.09 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(X3,X2)))|~is_a_theorem(implies(X3,X1)))),
% 131.54/17.09 inference(resolution,[status(thm)],[f35,f23])).
% 131.54/17.09 fof(f163,plain,(
% 131.54/17.09 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(X2,X1))))),
% 131.54/17.09 inference(resolution,[status(thm)],[f35,f10])).
% 131.54/17.09 fof(f383,plain,(
% 132.38/17.16 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 132.38/17.16 inference(resolution,[status(thm)],[f138,f8])).
% 132.38/17.16 fof(f394,plain,(
% 132.38/17.16 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(implies(implies(X1,X0),X2))|is_a_theorem(X2))),
% 132.38/17.16 inference(resolution,[status(thm)],[f139,f8])).
% 132.38/17.16 fof(f444,plain,(
% 132.38/17.16 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 132.38/17.16 inference(resolution,[status(thm)],[f383,f9])).
% 132.38/17.16 fof(f530,plain,(
% 132.38/17.16 ![X0]: (~is_a_theorem(implies(implies(X0,implies(b,c)),implies(implies(a,b),implies(a,c))))|~is_a_theorem(implies(X0,a)))),
% 132.38/17.16 inference(resolution,[status(thm)],[f45,f23])).
% 132.38/17.16 fof(f548,plain,(
% 132.38/17.16 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),implies(X2,X1))))),
% 132.38/17.16 inference(resolution,[status(thm)],[f394,f9])).
% 132.38/17.16 fof(f721,plain,(
% 132.38/17.16 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(implies(X2,X0),X3)))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 132.38/17.16 inference(resolution,[status(thm)],[f47,f9])).
% 132.38/17.16 fof(f974,plain,(
% 132.38/17.16 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(implies(X1,X2),X0)))),
% 132.38/17.16 inference(resolution,[status(thm)],[f159,f23])).
% 132.38/17.16 fof(f2002,plain,(
% 132.38/17.16 ![X0,X1]: (~is_a_theorem(implies(X0,a))|~is_a_theorem(implies(implies(X0,implies(b,c)),implies(X1,implies(a,c))))|~is_a_theorem(implies(implies(a,b),X1)))),
% 132.38/17.16 inference(resolution,[status(thm)],[f530,f161])).
% 132.38/17.16 fof(f2462,plain,(
% 132.38/17.16 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))|~is_a_theorem(implies(X1,X2)))),
% 132.38/17.16 inference(resolution,[status(thm)],[f721,f548])).
% 132.38/17.16 fof(f2480,plain,(
% 132.38/17.16 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),X2))|~is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2)))),
% 132.38/17.16 inference(resolution,[status(thm)],[f721,f163])).
% 132.38/17.16 fof(f3938,plain,(
% 132.38/17.16 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X0)),implies(X2,X0))))),
% 132.38/17.16 inference(resolution,[status(thm)],[f974,f444])).
% 132.38/17.16 fof(f8102,plain,(
% 132.38/17.16 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),implies(X0,X1))))),
% 132.38/17.16 inference(resolution,[status(thm)],[f2462,f11])).
% 132.38/17.16 fof(f10708,plain,(
% 132.38/17.16 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X0,X2),X0)),X0)))),
% 132.38/17.16 inference(resolution,[status(thm)],[f3938,f159])).
% 132.38/17.16 fof(f23885,definition,(
% 132.38/17.16 sQ476_spl <=> (is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))))),
% 132.38/17.16 introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition])).
% 132.38/17.16 fof(f23887,plain,(
% 132.38/17.16 ~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))|sQ476_spl),
% 132.38/17.16 inference(component_clause,[status(thm)],[f23885])).
% 132.38/17.16 fof(f24467,plain,(
% 132.38/17.16 $false|sQ476_spl),
% 132.38/17.16 inference(forward_subsumption_resolution,[status(thm)],[f23887,f9])).
% 132.38/17.16 fof(f24468,plain,(
% 132.38/17.16 sQ476_spl),
% 132.38/17.16 inference(contradiction_clause,[status(thm)],[f24467])).
% 132.38/17.16 fof(f31282,plain,(
% 132.38/17.16 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0))))),
% 132.38/17.16 inference(resolution,[status(thm)],[f2480,f8102])).
% 132.38/17.16 fof(f35353,plain,(
% 132.38/17.16 ![X0]: (~is_a_theorem(implies(implies(implies(a,c),X0),a))|~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))))),
% 132.38/17.16 inference(resolution,[status(thm)],[f31282,f2002])).
% 132.38/17.16 fof(f35477,definition,(
% 132.38/17.16 ![X0]: (sQ557_spl <=> (~is_a_theorem(implies(implies(implies(a,c),X0),a))))),
% 132.38/17.16 introduced(definition,[new_symbols(definition,[sQ557_spl])],[split_symbol_definition])).
% 132.38/17.16 fof(f35478,plain,(
% 132.38/17.16 ![X0]: (~is_a_theorem(implies(implies(implies(a,c),X0),a))|~sQ557_spl)),
% 132.38/17.16 inference(component_clause,[status(thm)],[f35477])).
% 132.38/17.16 fof(f35480,plain,(
% 132.38/17.16 sQ557_spl|~sQ476_spl),
% 132.38/17.16 inference(split_clause,[status(thm)],[f35353,f35477,f23885])).
% 132.38/17.16 fof(f35482,plain,(
% 132.38/17.16 $false|~sQ557_spl),
% 132.38/17.16 inference(resolution,[status(thm)],[f35478,f10708])).
% 132.38/17.16 fof(f35489,plain,(
% 132.38/17.16 ~sQ557_spl),
% 132.38/17.16 inference(contradiction_clause,[status(thm)],[f35482])).
% 132.38/17.16 fof(f35490,plain,(
% 132.38/17.16 $false),
% 132.38/17.16 inference(sat_refutation,[status(thm)],[f24468,f35480,f35489])).
% 132.38/17.16 % SZS output end CNFRefutation for theBenchmark.p
% 12.77/17.22 % Elapsed time: 16.819724 seconds
% 12.77/17.22 % CPU time: 132.961979 seconds
% 12.77/17.22 % Total memory used: 824.405 MB
% 12.77/17.22 % Net memory used: 695.183 MB
%------------------------------------------------------------------------------