%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL089-1 : 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 : n005.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 01:09:20 PM UTC 2026
% Result : Unsatisfiable 11.10s 1.87s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL089-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 00:04:18 UTC 2026
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 11.10/1.87 % Refutation found
% 11.10/1.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.10/1.87 % SZS output start CNFRefutation for theBenchmark
% 11.10/1.87 fof(f1,axiom,(
% 11.10/1.87 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 11.10/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.87 fof(f2,axiom,(
% 11.10/1.87 (![P,Q,R,S,T]: (is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))) ))),
% 11.10/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.87 fof(f3,negated_conjecture,(
% 11.10/1.87 ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ),
% 11.10/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.10/1.87 fof(f4,plain,(
% 11.10/1.87 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 11.10/1.87 inference(miniscoping,[status(thm)],[f1])).
% 11.10/1.87 fof(f5,plain,(
% 11.10/1.87 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 11.10/1.87 inference(cnf_transformation,[status(thm)],[f4])).
% 11.10/1.87 fof(f6,plain,(
% 11.10/1.87 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))))),
% 11.10/1.87 inference(cnf_transformation,[status(thm)],[f2])).
% 11.10/1.87 fof(f7,plain,(
% 11.10/1.87 ~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))),
% 11.10/1.87 inference(cnf_transformation,[status(thm)],[f3])).
% 11.10/1.87 fof(f8,plain,(
% 11.10/1.87 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0)))))),
% 11.10/1.87 inference(resolution,[status(thm)],[f6,f5])).
% 11.10/1.87 fof(f10,plain,(
% 11.10/1.87 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(X4)|is_a_theorem(implies(implies(X3,X0),implies(X2,X0))))),
% 11.10/1.87 inference(resolution,[status(thm)],[f8,f5])).
% 11.10/1.87 fof(f11,definition,(
% 11.10/1.87 ![X0,X1,X2,X3]: (sQ0_spl <=> (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))))),
% 11.10/1.87 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 11.10/1.87 fof(f12,plain,(
% 11.10/1.87 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))|~sQ0_spl)),
% 11.10/1.87 inference(component_clause,[status(thm)],[f11])).
% 11.10/1.87 fof(f14,definition,(
% 11.10/1.87 ![X4]: (sQ1_spl <=> (~is_a_theorem(X4)))),
% 11.10/1.87 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 11.10/1.87 fof(f15,plain,(
% 11.10/1.87 ![X0]: (~is_a_theorem(X0)|~sQ1_spl)),
% 11.10/1.87 inference(component_clause,[status(thm)],[f14])).
% 11.10/1.87 fof(f17,plain,(
% 11.10/1.87 sQ0_spl|sQ1_spl),
% 11.10/1.87 inference(split_clause,[status(thm)],[f10,f11,f14])).
% 11.10/1.87 fof(f19,plain,(
% 11.10/1.87 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(implies(X3,X0))|is_a_theorem(implies(X2,X0))|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f12,f5])).
% 11.10/1.87 fof(f21,plain,(
% 11.10/1.87 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X3,X2))),X4),implies(X5,implies(implies(X2,X6),implies(X3,X1)))))|is_a_theorem(implies(X5,implies(X0,implies(implies(X1,X2),implies(X3,X2)))))|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f19,f6])).
% 11.10/1.87 fof(f22,plain,(
% 11.10/1.87 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,implies(X4,X1))))|is_a_theorem(implies(X3,implies(X0,X1)))|~is_a_theorem(implies(implies(X1,X5),implies(X0,X4)))|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f19,f12])).
% 11.10/1.87 fof(f24,plain,(
% 11.10/1.87 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(implies(implies(X5,X1),implies(X6,X1)),implies(X1,X2)))))|is_a_theorem(implies(X4,implies(X0,implies(X1,X2))))|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f22,f6])).
% 11.10/1.87 fof(f30,plain,(
% 11.10/1.87 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2)))))|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f24,f6])).
% 11.10/1.87 fof(f37,plain,(
% 11.10/1.87 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f30,f5])).
% 11.10/1.87 fof(f38,definition,(
% 11.10/1.87 ![X1,X2]: (sQ2_spl <=> (is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))))),
% 11.10/1.87 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 11.10/1.87 fof(f39,plain,(
% 11.10/1.87 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1))))|~sQ2_spl)),
% 11.10/1.87 inference(component_clause,[status(thm)],[f38])).
% 11.10/1.87 fof(f41,plain,(
% 11.10/1.87 sQ1_spl|sQ2_spl|~sQ0_spl),
% 11.10/1.87 inference(split_clause,[status(thm)],[f37,f14,f38,f11])).
% 11.10/1.87 fof(f42,plain,(
% 11.10/1.87 $false|~sQ1_spl),
% 11.10/1.87 inference(backward_subsumption_resolution,[status(thm)],[f6,f15])).
% 11.10/1.87 fof(f43,plain,(
% 11.10/1.87 ~sQ1_spl),
% 11.10/1.87 inference(contradiction_clause,[status(thm)],[f42])).
% 11.10/1.87 fof(f49,plain,(
% 11.10/1.87 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3))))|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f12,f6])).
% 11.10/1.87 fof(f50,plain,(
% 11.10/1.87 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0)))|~sQ0_spl|~sQ2_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f12,f39])).
% 11.10/1.87 fof(f53,plain,(
% 11.10/1.87 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X1,implies(X0,X1))))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f50,f12])).
% 11.10/1.87 fof(f54,plain,(
% 11.10/1.87 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(X1,X0))|~sQ0_spl|~sQ2_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f50,f5])).
% 11.10/1.87 fof(f56,plain,(
% 11.10/1.87 ![X0]: (is_a_theorem(implies(X0,implies(X0,X0)))|~sQ0_spl|~sQ2_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f54,f50])).
% 11.10/1.87 fof(f308,plain,(
% 11.10/1.87 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X2,X0),implies(X3,X0))),implies(X4,implies(implies(X2,X0),implies(X3,X0)))))|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f49,f12])).
% 11.10/1.87 fof(f309,plain,(
% 11.10/1.87 ![X0,X1]: (is_a_theorem(implies(implies(X0,X0),implies(implies(X1,X0),implies(X0,X0))))|~sQ0_spl|~sQ2_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f49,f54])).
% 11.10/1.87 fof(f311,plain,(
% 11.10/1.87 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(implies(implies(X5,X1),implies(X6,X1)),implies(X1,X2)))))|is_a_theorem(implies(X4,implies(X0,implies(X1,X2))))|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f49,f19])).
% 11.10/1.87 fof(f312,plain,(
% 11.10/1.87 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|is_a_theorem(implies(X4,implies(X1,X3)))|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f49,f5])).
% 11.10/1.87 fof(f327,plain,(
% 11.10/1.87 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X0),implies(implies(X1,X0),X0)))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f309,f12])).
% 11.10/1.87 fof(f338,plain,(
% 11.10/1.87 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X0),X0))|is_a_theorem(implies(implies(X1,X0),X0))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f327,f5])).
% 11.10/1.87 fof(f373,plain,(
% 11.10/1.87 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X0),X0))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0)|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f338,f5])).
% 11.10/1.87 fof(f411,plain,(
% 11.10/1.87 ![X0]: (~is_a_theorem(implies(implies(X0,X0),X0))|is_a_theorem(X0)|~is_a_theorem(implies(implies(X0,X0),X0))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f373,f338])).
% 11.10/1.87 fof(f425,plain,(
% 11.10/1.87 ![X0]: (~is_a_theorem(implies(implies(X0,X0),X0))|is_a_theorem(X0)|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(duplicate_literals_removal,[status(thm)],[f411])).
% 11.10/1.87 fof(f634,plain,(
% 11.10/1.87 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2)))))|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f21,f308])).
% 11.10/1.87 fof(f774,plain,(
% 11.10/1.87 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f634,f425])).
% 11.10/1.87 fof(f796,plain,(
% 11.10/1.87 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f774,f5])).
% 11.10/1.87 fof(f846,plain,(
% 11.10/1.87 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(X0,X0)),X1),implies(X2,X1)))|~sQ0_spl|~sQ2_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f796,f56])).
% 11.10/1.87 fof(f895,plain,(
% 11.10/1.87 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X0,X0)),X1))|is_a_theorem(implies(X2,X1))|~sQ0_spl|~sQ2_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f846,f5])).
% 11.10/1.87 fof(f961,plain,(
% 11.10/1.87 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,implies(X1,X1))))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f895,f53])).
% 11.10/1.87 fof(f988,plain,(
% 11.10/1.87 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X0,X1)))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f961,f12])).
% 11.10/1.87 fof(f1242,plain,(
% 11.10/1.87 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,implies(X3,X1)))))|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f311,f634])).
% 11.10/1.87 fof(f1299,plain,(
% 11.10/1.87 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2)))|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f1242,f12])).
% 11.10/1.87 fof(f1337,plain,(
% 11.10/1.87 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f312,f988])).
% 11.10/1.87 fof(f1372,plain,(
% 11.10/1.87 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f1337,f12])).
% 11.10/1.87 fof(f1376,plain,(
% 11.10/1.87 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f1337,f425])).
% 11.10/1.87 fof(f1399,plain,(
% 11.10/1.87 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f1376,f12])).
% 11.10/1.87 fof(f1599,plain,(
% 11.10/1.87 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f1372,f5])).
% 11.10/1.87 fof(f1653,plain,(
% 11.10/1.87 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X0))))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f1599,f1376])).
% 11.10/1.87 fof(f1658,plain,(
% 11.10/1.87 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1)))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f1653,f12])).
% 11.10/1.87 fof(f1873,plain,(
% 11.10/1.87 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f1399,f12])).
% 11.10/1.87 fof(f1878,plain,(
% 11.10/1.87 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(X2,X0))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f1399,f5])).
% 11.10/1.87 fof(f1918,plain,(
% 11.10/1.87 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f1878,f1399])).
% 11.10/1.87 fof(f1955,plain,(
% 11.10/1.87 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2)))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f1918,f796])).
% 11.10/1.87 fof(f2574,plain,(
% 11.10/1.87 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),X1))|is_a_theorem(implies(X3,X1))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f1658,f5])).
% 11.10/1.87 fof(f2646,plain,(
% 11.10/1.87 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X2,implies(X0,X1)))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f1873,f5])).
% 11.10/1.87 fof(f3061,plain,(
% 11.10/1.87 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),X1))|is_a_theorem(X1)|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f2574,f425])).
% 11.10/1.87 fof(f3179,plain,(
% 11.10/1.87 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X2)),X3),X3)))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f2646,f1955])).
% 11.10/1.87 fof(f3181,plain,(
% 11.10/1.87 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X3),X3)))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f2646,f1299])).
% 11.10/1.87 fof(f3189,plain,(
% 11.10/1.87 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2))))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f2646,f1873])).
% 11.10/1.87 fof(f3815,plain,(
% 11.10/1.87 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),X2))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f3179,f3061])).
% 11.10/1.87 fof(f3870,plain,(
% 11.10/1.87 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|is_a_theorem(X2)|~sQ2_spl|~sQ0_spl)),
% 11.10/1.87 inference(resolution,[status(thm)],[f3815,f5])).
% 11.10/1.89 fof(f4128,plain,(
% 11.10/1.89 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.89 inference(resolution,[status(thm)],[f3181,f3870])).
% 11.10/1.89 fof(f4229,plain,(
% 11.10/1.89 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2)|~sQ2_spl|~sQ0_spl)),
% 11.10/1.89 inference(resolution,[status(thm)],[f4128,f5])).
% 11.10/1.89 fof(f4374,plain,(
% 11.10/1.89 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.89 inference(resolution,[status(thm)],[f3189,f4229])).
% 11.10/1.89 fof(f4461,plain,(
% 11.10/1.89 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.89 inference(resolution,[status(thm)],[f4374,f5])).
% 11.10/1.89 fof(f4491,plain,(
% 11.10/1.89 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(X3,X0),implies(X2,X0))))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.89 inference(resolution,[status(thm)],[f4461,f6])).
% 11.10/1.89 fof(f4552,plain,(
% 11.10/1.89 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))|~sQ2_spl|~sQ0_spl)),
% 11.10/1.89 inference(resolution,[status(thm)],[f4491,f1599])).
% 11.10/1.89 fof(f5191,plain,(
% 11.10/1.89 $false|~sQ2_spl|~sQ0_spl),
% 11.10/1.89 inference(backward_subsumption_resolution,[status(thm)],[f7,f4552])).
% 11.10/1.89 fof(f5226,plain,(
% 11.10/1.89 ~sQ2_spl|~sQ0_spl),
% 11.10/1.89 inference(contradiction_clause,[status(thm)],[f5191])).
% 11.10/1.89 fof(f5227,plain,(
% 11.10/1.89 $false),
% 11.10/1.89 inference(sat_refutation,[status(thm)],[f17,f41,f43,f5226])).
% 11.10/1.89 % SZS output end CNFRefutation for theBenchmark.p
% 2.05/1.90 % Elapsed time: 1.532986 seconds
% 2.05/1.90 % CPU time: 11.854714 seconds
% 2.05/1.90 % Total memory used: 187.626 MB
% 2.05/1.90 % Net memory used: 174.807 MB
%------------------------------------------------------------------------------