%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL034-1 : 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 : n003.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 9.55s 1.64s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL034-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:02:30 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 9.55/1.64 % Refutation found
% 9.55/1.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.55/1.64 % SZS output start CNFRefutation for theBenchmark
% 9.55/1.64 fof(f1,axiom,(
% 9.55/1.64 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 9.55/1.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.55/1.64 fof(f2,axiom,(
% 9.55/1.64 (![X,Y,Z,U,V]: (is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),V),implies(implies(V,X),implies(Z,X)))) ))),
% 9.55/1.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.55/1.64 fof(f3,negated_conjecture,(
% 9.55/1.64 ~ is_a_theorem(implies(implies(implies(a,b),a),a)) ),
% 9.55/1.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.55/1.64 fof(f4,plain,(
% 9.55/1.64 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 9.55/1.64 inference(miniscoping,[status(thm)],[f1])).
% 9.55/1.64 fof(f5,plain,(
% 9.55/1.64 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 9.55/1.64 inference(cnf_transformation,[status(thm)],[f4])).
% 9.55/1.64 fof(f6,plain,(
% 9.55/1.64 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))))),
% 9.55/1.64 inference(cnf_transformation,[status(thm)],[f2])).
% 9.55/1.64 fof(f7,plain,(
% 9.55/1.64 ~is_a_theorem(implies(implies(implies(a,b),a),a))),
% 9.55/1.64 inference(cnf_transformation,[status(thm)],[f3])).
% 9.55/1.64 fof(f8,plain,(
% 9.55/1.64 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4))|is_a_theorem(implies(implies(X4,X0),implies(X2,X0))))),
% 9.55/1.64 inference(resolution,[status(thm)],[f6,f5])).
% 9.55/1.64 fof(f9,plain,(
% 9.55/1.64 ![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)))))),
% 9.55/1.64 inference(resolution,[status(thm)],[f8,f6])).
% 9.55/1.64 fof(f10,plain,(
% 9.55/1.64 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))))),
% 9.55/1.64 inference(resolution,[status(thm)],[f9,f8])).
% 9.55/1.64 fof(f11,plain,(
% 9.55/1.64 ![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))))),
% 9.55/1.64 inference(resolution,[status(thm)],[f9,f5])).
% 9.55/1.64 fof(f12,plain,(
% 9.55/1.64 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(falsehood,X2))))),
% 9.55/1.64 inference(resolution,[status(thm)],[f10,f8])).
% 9.55/1.64 fof(f14,plain,(
% 9.55/1.64 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))))),
% 9.55/1.64 inference(resolution,[status(thm)],[f12,f8])).
% 9.55/1.64 fof(f15,plain,(
% 9.55/1.64 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(falsehood,X2)))),
% 9.55/1.64 inference(resolution,[status(thm)],[f12,f5])).
% 9.55/1.64 fof(f17,plain,(
% 9.55/1.64 ![X0,X1]: (is_a_theorem(implies(falsehood,implies(X0,X1))))),
% 9.55/1.64 inference(resolution,[status(thm)],[f15,f14])).
% 9.55/1.64 fof(f30,plain,(
% 9.55/1.64 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 9.55/1.64 inference(resolution,[status(thm)],[f11,f14])).
% 9.55/1.64 fof(f39,plain,(
% 9.55/1.64 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))))),
% 9.55/1.64 inference(resolution,[status(thm)],[f30,f8])).
% 9.55/1.64 fof(f43,plain,(
% 9.55/1.64 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1))))),
% 9.55/1.64 inference(resolution,[status(thm)],[f30,f5])).
% 9.55/1.64 fof(f44,definition,(
% 9.55/1.64 ![X0]: (sQ2_spl <=> (~is_a_theorem(X0)))),
% 9.55/1.64 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 9.55/1.64 fof(f45,plain,(
% 9.55/1.64 ![X0]: (~is_a_theorem(X0)|~sQ2_spl)),
% 9.55/1.64 inference(component_clause,[status(thm)],[f44])).
% 9.55/1.64 fof(f47,definition,(
% 9.55/1.64 ![X1,X2]: (sQ3_spl <=> (is_a_theorem(implies(X1,implies(X2,X1)))))),
% 9.55/1.64 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 9.55/1.64 fof(f48,plain,(
% 9.55/1.64 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~sQ3_spl)),
% 9.55/1.64 inference(component_clause,[status(thm)],[f47])).
% 9.55/1.64 fof(f50,plain,(
% 9.55/1.64 sQ2_spl|sQ3_spl),
% 9.55/1.64 inference(split_clause,[status(thm)],[f43,f44,f47])).
% 9.55/1.64 fof(f51,plain,(
% 9.55/1.64 $false|~sQ2_spl),
% 9.55/1.64 inference(backward_subsumption_resolution,[status(thm)],[f17,f45])).
% 9.55/1.64 fof(f58,plain,(
% 9.55/1.64 ~sQ2_spl),
% 9.55/1.64 inference(contradiction_clause,[status(thm)],[f51])).
% 9.55/1.64 fof(f74,plain,(
% 9.55/1.64 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1)))|~sQ3_spl)),
% 9.55/1.64 inference(resolution,[status(thm)],[f8,f48])).
% 9.55/1.64 fof(f91,definition,(
% 9.55/1.64 ![X0]: (sQ6_spl <=> (is_a_theorem(X0)))),
% 9.55/1.64 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 9.55/1.64 fof(f92,plain,(
% 9.55/1.64 ![X0]: (is_a_theorem(X0)|~sQ6_spl)),
% 9.55/1.64 inference(component_clause,[status(thm)],[f91])).
% 9.55/1.64 fof(f130,plain,(
% 9.55/1.64 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(implies(X3,X2)))),
% 9.55/1.64 inference(resolution,[status(thm)],[f39,f5])).
% 9.55/1.64 fof(f427,plain,(
% 9.55/1.64 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),implies(X0,falsehood)),X2)))|~sQ3_spl)),
% 9.55/1.64 inference(resolution,[status(thm)],[f74,f8])).
% 9.55/1.64 fof(f716,plain,(
% 9.55/1.64 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1)))))|~sQ3_spl)),
% 9.55/1.64 inference(resolution,[status(thm)],[f427,f130])).
% 9.55/1.64 fof(f1017,plain,(
% 9.55/1.64 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1))))|~sQ3_spl)),
% 9.55/1.64 inference(resolution,[status(thm)],[f716,f5])).
% 9.55/1.64 fof(f1020,definition,(
% 9.55/1.64 ![X1,X2,X3,X4]: (sQ39_spl <=> (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1))))))),
% 9.55/1.64 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 9.55/1.64 fof(f1021,plain,(
% 9.55/1.64 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,falsehood)),implies(X3,implies(X2,X0))))|~sQ39_spl)),
% 9.55/1.64 inference(component_clause,[status(thm)],[f1020])).
% 9.55/1.64 fof(f1023,plain,(
% 9.55/1.64 sQ2_spl|sQ39_spl|~sQ3_spl),
% 9.55/1.64 inference(split_clause,[status(thm)],[f1017,f44,f1020,f47])).
% 9.55/1.64 fof(f1028,plain,(
% 9.55/1.64 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,falsehood)))|is_a_theorem(implies(X3,implies(X2,X0)))|~sQ39_spl)),
% 9.55/1.64 inference(resolution,[status(thm)],[f1021,f5])).
% 9.55/1.64 fof(f1100,plain,(
% 9.55/1.64 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1))))|~sQ39_spl|~sQ3_spl)),
% 9.55/1.64 inference(resolution,[status(thm)],[f1028,f427])).
% 9.55/1.64 fof(f1114,plain,(
% 9.55/1.64 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1)))|~sQ39_spl|~sQ3_spl)),
% 9.55/1.64 inference(resolution,[status(thm)],[f1100,f5])).
% 9.55/1.64 fof(f1117,definition,(
% 9.55/1.64 ![X1,X2,X3]: (sQ40_spl <=> (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1)))))),
% 9.55/1.64 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 9.55/1.64 fof(f1118,plain,(
% 9.55/1.64 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,falsehood)),implies(X2,X0)))|~sQ40_spl)),
% 9.55/1.64 inference(component_clause,[status(thm)],[f1117])).
% 9.55/1.64 fof(f1120,plain,(
% 9.55/1.64 sQ2_spl|sQ40_spl|~sQ39_spl|~sQ3_spl),
% 9.55/1.64 inference(split_clause,[status(thm)],[f1114,f44,f1117,f1020,f47])).
% 9.55/1.64 fof(f1122,plain,(
% 9.55/1.64 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1)))|~sQ40_spl)),
% 9.55/1.64 inference(resolution,[status(thm)],[f1118,f8])).
% 9.55/1.64 fof(f1126,plain,(
% 9.55/1.64 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,falsehood)))|is_a_theorem(implies(X2,X0))|~sQ40_spl)),
% 9.55/1.64 inference(resolution,[status(thm)],[f1118,f5])).
% 9.55/1.64 fof(f1129,plain,(
% 9.55/1.64 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~sQ40_spl)),
% 9.55/1.64 inference(resolution,[status(thm)],[f1122,f8])).
% 9.55/1.64 fof(f1175,plain,(
% 9.55/1.64 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(X0,falsehood),X1),X2),implies(X0,X2)))|~sQ40_spl)),
% 9.55/1.64 inference(resolution,[status(thm)],[f1129,f8])).
% 9.55/1.64 fof(f1184,plain,(
% 9.55/1.64 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2))|~sQ40_spl)),
% 9.55/1.64 inference(resolution,[status(thm)],[f1129,f5])).
% 9.55/1.64 fof(f1378,plain,(
% 9.55/1.64 ![X0,X1]: (is_a_theorem(implies(implies(X0,falsehood),implies(X0,X1)))|~sQ40_spl)),
% 9.55/1.64 inference(resolution,[status(thm)],[f1184,f1118])).
% 9.55/1.64 fof(f1429,plain,(
% 9.55/1.64 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~sQ40_spl|~sQ39_spl)),
% 9.55/1.64 inference(resolution,[status(thm)],[f1378,f1028])).
% 9.55/1.65 fof(f1436,plain,(
% 9.55/1.65 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))|~sQ40_spl|~sQ39_spl)),
% 9.55/1.65 inference(resolution,[status(thm)],[f1429,f8])).
% 9.55/1.65 fof(f2628,plain,(
% 9.55/1.65 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))|~sQ40_spl)),
% 9.55/1.65 inference(resolution,[status(thm)],[f1175,f8])).
% 9.55/1.65 fof(f2637,plain,(
% 9.55/1.65 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,falsehood),X1)))|~sQ40_spl)),
% 9.55/1.65 inference(resolution,[status(thm)],[f1175,f1126])).
% 9.55/1.65 fof(f2641,plain,(
% 9.55/1.65 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(X0,falsehood),X1),X2))|is_a_theorem(implies(X0,X2))|~sQ40_spl)),
% 9.55/1.65 inference(resolution,[status(thm)],[f1175,f5])).
% 9.55/1.65 fof(f2961,plain,(
% 9.55/1.65 $false|~sQ6_spl),
% 9.55/1.65 inference(backward_subsumption_resolution,[status(thm)],[f7,f92])).
% 9.55/1.65 fof(f3181,plain,(
% 9.55/1.65 ~sQ6_spl),
% 9.55/1.65 inference(contradiction_clause,[status(thm)],[f2961])).
% 9.55/1.65 fof(f4718,plain,(
% 9.55/1.65 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(implies(X0,falsehood),X1),falsehood),X2)))|~sQ40_spl)),
% 9.55/1.65 inference(resolution,[status(thm)],[f2641,f2637])).
% 9.55/1.65 fof(f6378,plain,(
% 9.55/1.65 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),falsehood),X2),falsehood),X0))|~sQ40_spl)),
% 9.55/1.65 inference(resolution,[status(thm)],[f4718,f1126])).
% 9.55/1.65 fof(f6577,plain,(
% 9.55/1.65 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))))|~sQ40_spl)),
% 9.55/1.65 inference(resolution,[status(thm)],[f6378,f8])).
% 9.55/1.65 fof(f6615,plain,(
% 9.55/1.65 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X2,implies(X0,X1)))|~sQ40_spl)),
% 9.55/1.65 inference(resolution,[status(thm)],[f6577,f5])).
% 9.55/1.65 fof(f6662,plain,(
% 9.55/1.65 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2)))|~sQ40_spl|~sQ39_spl)),
% 9.55/1.65 inference(resolution,[status(thm)],[f6615,f1436])).
% 9.55/1.65 fof(f6663,plain,(
% 9.55/1.65 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1)))|~sQ40_spl)),
% 9.55/1.65 inference(resolution,[status(thm)],[f6615,f2628])).
% 9.55/1.65 fof(f6875,plain,(
% 9.55/1.65 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X1),X2),X2))|~sQ40_spl|~sQ39_spl)),
% 9.55/1.65 inference(resolution,[status(thm)],[f6662,f5])).
% 9.55/1.65 fof(f6889,definition,(
% 9.55/1.65 ![X1,X2]: (sQ95_spl <=> (is_a_theorem(implies(implies(implies(X1,X1),X2),X2))))),
% 9.55/1.65 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 9.55/1.65 fof(f6890,plain,(
% 9.55/1.65 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1))|~sQ95_spl)),
% 9.55/1.65 inference(component_clause,[status(thm)],[f6889])).
% 9.55/1.65 fof(f6892,plain,(
% 9.55/1.65 sQ2_spl|sQ95_spl|~sQ40_spl|~sQ39_spl),
% 9.55/1.65 inference(split_clause,[status(thm)],[f6875,f44,f6889,f1117,f1020])).
% 9.55/1.65 fof(f6912,plain,(
% 9.55/1.65 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(X1)|~sQ95_spl)),
% 9.55/1.65 inference(resolution,[status(thm)],[f6890,f5])).
% 9.55/1.65 fof(f7115,plain,(
% 9.55/1.65 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0))|~sQ40_spl|~sQ95_spl)),
% 9.55/1.65 inference(resolution,[status(thm)],[f6663,f6912])).
% 9.55/1.65 fof(f7139,plain,(
% 9.55/1.65 $false|~sQ40_spl|~sQ95_spl),
% 9.55/1.65 inference(backward_subsumption_resolution,[status(thm)],[f7,f7115])).
% 9.55/1.65 fof(f7169,plain,(
% 9.55/1.65 ~sQ40_spl|~sQ95_spl),
% 9.55/1.65 inference(contradiction_clause,[status(thm)],[f7139])).
% 9.55/1.65 fof(f7170,plain,(
% 9.55/1.65 $false),
% 9.55/1.65 inference(sat_refutation,[status(thm)],[f50,f58,f1023,f1120,f3181,f6892,f7169])).
% 9.55/1.65 % SZS output end CNFRefutation for theBenchmark.p
% 9.55/1.68 % Elapsed time: 1.307603 seconds
% 9.55/1.68 % CPU time: 10.094881 seconds
% 9.55/1.68 % Total memory used: 169.873 MB
% 9.55/1.68 % Net memory used: 151.520 MB
%------------------------------------------------------------------------------