TSTP Solution File: GEO109-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO109-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:16:26 EDT 2024
% Result : Unsatisfiable 271.32s 35.91s
% Output : CNFRefutation 271.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 31
% Syntax : Number of clauses : 175 ( 9 unt; 113 nHn; 154 RR)
% Number of literals : 597 ( 188 equ; 224 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-4 aty)
% Number of variables : 232 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
open(sk15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_6_77) ).
cnf(c_50,negated_conjecture,
( end_point(sk16,sk15)
| incident_c(sk16,sk15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_6_78) ).
cnf(c_51,negated_conjecture,
( ~ between_c(sk15,X0,sk16,X1)
| end_point(sk16,sk15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_6_79) ).
cnf(c_55,negated_conjecture,
( ~ end_point(sk16,sk15)
| ~ incident_c(sk16,sk15)
| between_c(sk15,sk17,sk16,sk18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_6_83) ).
cnf(c_57,plain,
( ~ between_c(X0,X1,X2,X3)
| part_of(ax1_sk1(X3,X2,X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_2) ).
cnf(c_60,plain,
( ~ between_c(X0,X1,X2,X3)
| inner_point(X2,ax1_sk1(X3,X2,X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_5) ).
cnf(c_61,plain,
( ~ end_point(X0,X1)
| ~ end_point(X2,X1)
| ~ part_of(X1,X3)
| ~ inner_point(X4,X1)
| X0 = X2
| between_c(X3,X0,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_6) ).
cnf(c_62,plain,
( ~ incident_c(X0,X1)
| ~ part_of(X1,X2)
| incident_c(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
cnf(c_63,plain,
( incident_c(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).
cnf(c_64,plain,
( ~ incident_c(ax0_sk1(X0,X1),X1)
| part_of(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_3) ).
cnf(c_65,plain,
( sum(X0,X1) != X2
| ~ incident_c(X3,X2)
| incident_c(X3,X0)
| incident_c(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_4) ).
cnf(c_66,plain,
( sum(X0,X1) != X2
| ~ incident_c(X3,X0)
| incident_c(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_5) ).
cnf(c_67,plain,
( sum(X0,X1) != X2
| ~ incident_c(X3,X1)
| incident_c(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_6) ).
cnf(c_68,plain,
( sum(X0,X1) = X2
| incident_c(ax0_sk2(X1,X0,X2),X0)
| incident_c(ax0_sk2(X1,X0,X2),X1)
| incident_c(ax0_sk2(X1,X0,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_7) ).
cnf(c_73,plain,
( ~ incident_c(ax0_sk2(X0,X1,X2),X0)
| ~ incident_c(ax0_sk2(X0,X1,X2),X2)
| sum(X1,X0) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_12) ).
cnf(c_74,plain,
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_13) ).
cnf(c_75,plain,
( ~ end_point(X0,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| part_of(X2,X3)
| part_of(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_14) ).
cnf(c_76,plain,
( ~ incident_c(X0,X1)
| part_of(ax0_sk3(X1,X0),X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_15) ).
cnf(c_77,plain,
( ~ incident_c(X0,X1)
| part_of(ax0_sk4(X1,X0),X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_16) ).
cnf(c_78,plain,
( ~ incident_c(X0,X1)
| incident_c(X0,ax0_sk3(X1,X0))
| end_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_17) ).
cnf(c_79,plain,
( ~ incident_c(X0,X1)
| incident_c(X0,ax0_sk4(X1,X0))
| end_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_18) ).
cnf(c_80,plain,
( ~ part_of(ax0_sk3(X0,X1),ax0_sk4(X0,X1))
| ~ incident_c(X1,X0)
| end_point(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_19) ).
cnf(c_81,plain,
( ~ part_of(ax0_sk4(X0,X1),ax0_sk3(X0,X1))
| ~ incident_c(X1,X0)
| end_point(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_20) ).
cnf(c_82,plain,
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).
cnf(c_83,plain,
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).
cnf(c_84,plain,
( ~ incident_c(X0,X1)
| end_point(X0,X1)
| inner_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_23) ).
cnf(c_94,plain,
( ~ open(X0)
| end_point(ax0_sk7(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',open_defn_33) ).
cnf(c_100,plain,
( ~ inner_point(X0,X1)
| sum(ax0_sk9(X0,X1),ax0_sk10(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c4_39) ).
cnf(c_101,plain,
( ~ end_point(X0,X1)
| ~ end_point(X2,X1)
| ~ end_point(X3,X1)
| X0 = X2
| X0 = X3
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c5_40) ).
cnf(c_102,plain,
( ~ end_point(X0,X1)
| end_point(ax0_sk11(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c6_41) ).
cnf(c_103,plain,
( ax0_sk11(X0,X1) != X0
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c6_42) ).
cnf(c_111,plain,
( ~ incident_c(X0,X1)
| incident_c(X0,sum(X2,X1)) ),
inference(unflattening,[status(thm)],[c_67]) ).
cnf(c_112,plain,
( ~ incident_c(X0,X1)
| incident_c(X0,sum(X1,X2)) ),
inference(unflattening,[status(thm)],[c_66]) ).
cnf(c_113,plain,
( ~ incident_c(X0,sum(X1,X2))
| incident_c(X0,X1)
| incident_c(X0,X2) ),
inference(unflattening,[status(thm)],[c_65]) ).
cnf(c_117,plain,
( ~ open(sk15)
| end_point(ax0_sk7(sk15),sk15) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_158,plain,
incident_c(sk16,sk15),
inference(forward_subsumption_resolution,[status(thm)],[c_50,c_74]) ).
cnf(c_2685,plain,
( ~ end_point(ax0_sk7(X0),X0)
| end_point(ax0_sk11(ax0_sk7(X0),X0),X0) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_2686,plain,
( ~ end_point(ax0_sk7(sk15),sk15)
| end_point(ax0_sk11(ax0_sk7(sk15),sk15),sk15) ),
inference(instantiation,[status(thm)],[c_2685]) ).
cnf(c_2691,plain,
( ~ incident_c(sk16,sk15)
| end_point(sk16,sk15)
| inner_point(sk16,sk15) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_2746,plain,
( ~ end_point(sk16,sk15)
| ~ inner_point(sk16,sk15) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_2753,plain,
( ~ open(X0)
| incident_c(ax0_sk7(X0),X0) ),
inference(superposition,[status(thm)],[c_94,c_74]) ).
cnf(c_2798,plain,
part_of(X0,X0),
inference(superposition,[status(thm)],[c_63,c_64]) ).
cnf(c_2799,plain,
part_of(sk15,sk15),
inference(instantiation,[status(thm)],[c_2798]) ).
cnf(c_2810,plain,
( ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X2)
| part_of(X0,sum(X1,X2)) ),
inference(superposition,[status(thm)],[c_111,c_64]) ).
cnf(c_2814,plain,
( ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X1)
| part_of(X0,sum(X1,X2)) ),
inference(superposition,[status(thm)],[c_112,c_64]) ).
cnf(c_2822,plain,
( ~ incident_c(X0,X1)
| end_point(X0,sum(X2,X1))
| inner_point(X0,sum(X2,X1)) ),
inference(superposition,[status(thm)],[c_111,c_84]) ).
cnf(c_2862,plain,
( ~ part_of(X0,X1)
| incident_c(ax0_sk1(X0,X2),X1)
| part_of(X0,X2) ),
inference(superposition,[status(thm)],[c_63,c_62]) ).
cnf(c_2867,plain,
( ~ part_of(X0,X1)
| ~ open(X0)
| incident_c(ax0_sk7(X0),X1) ),
inference(superposition,[status(thm)],[c_2753,c_62]) ).
cnf(c_2885,plain,
( ~ between_c(sk15,sk17,sk16,sk18)
| inner_point(sk16,ax1_sk1(sk18,sk16,sk17,sk15)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_2888,plain,
( ~ between_c(sk15,sk17,sk16,sk18)
| part_of(ax1_sk1(sk18,sk16,sk17,sk15),sk15) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_2930,plain,
( ~ part_of(X0,X1)
| ~ part_of(X1,X2)
| ~ open(X0)
| incident_c(ax0_sk7(X0),X2) ),
inference(superposition,[status(thm)],[c_2867,c_62]) ).
cnf(c_2982,plain,
( ~ open(sum(X0,X1))
| incident_c(ax0_sk7(sum(X0,X1)),X0)
| incident_c(ax0_sk7(sum(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2753,c_113]) ).
cnf(c_2986,plain,
( ~ part_of(X0,sum(X1,X2))
| ~ open(X0)
| incident_c(ax0_sk7(X0),X1)
| incident_c(ax0_sk7(X0),X2) ),
inference(superposition,[status(thm)],[c_2867,c_113]) ).
cnf(c_3009,plain,
( ~ part_of(X0,X1)
| ~ part_of(X1,X2)
| incident_c(ax0_sk1(X0,X3),X2)
| part_of(X0,X3) ),
inference(superposition,[status(thm)],[c_2862,c_62]) ).
cnf(c_3013,plain,
( ~ incident_c(sk16,X0)
| incident_c(sk16,ax0_sk4(X0,sk16))
| end_point(sk16,X0) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_3014,plain,
( ~ incident_c(sk16,X0)
| incident_c(sk16,ax0_sk3(X0,sk16))
| end_point(sk16,X0) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_3023,plain,
( ~ part_of(ax0_sk4(X0,sk16),ax0_sk3(X0,sk16))
| ~ incident_c(sk16,X0)
| end_point(sk16,X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_3024,plain,
( ~ part_of(ax0_sk3(X0,sk16),ax0_sk4(X0,sk16))
| ~ incident_c(sk16,X0)
| end_point(sk16,X0) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_3125,plain,
( end_point(sk16,sk15)
| inner_point(sk16,sk15) ),
inference(superposition,[status(thm)],[c_158,c_84]) ).
cnf(c_3814,plain,
( sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| end_point(sk16,sk15) ),
inference(superposition,[status(thm)],[c_3125,c_100]) ).
cnf(c_4051,plain,
( ~ end_point(sk16,ax1_sk1(sk18,sk16,sk17,sk15))
| ~ inner_point(sk16,ax1_sk1(sk18,sk16,sk17,sk15)) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_4052,plain,
( ~ inner_point(sk16,ax1_sk1(sk18,sk16,sk17,sk15))
| incident_c(sk16,ax1_sk1(sk18,sk16,sk17,sk15)) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_4213,plain,
( end_point(sk16,sk15)
| inner_point(sk16,sk15) ),
inference(superposition,[status(thm)],[c_158,c_84]) ).
cnf(c_4390,plain,
( sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| end_point(sk16,sk15) ),
inference(superposition,[status(thm)],[c_4213,c_100]) ).
cnf(c_4907,plain,
( ~ end_point(X0,sk15)
| ~ end_point(X1,sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| X0 = X1
| X0 = sk16
| X1 = sk16 ),
inference(superposition,[status(thm)],[c_4390,c_101]) ).
cnf(c_5423,plain,
( ~ end_point(X0,sk15)
| ~ open(sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk7(sk15) = X0
| ax0_sk7(sk15) = sk16
| X0 = sk16 ),
inference(superposition,[status(thm)],[c_94,c_4907]) ).
cnf(c_5426,plain,
( ~ end_point(X0,sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk7(sk15) = X0
| ax0_sk7(sk15) = sk16
| X0 = sk16 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5423,c_49]) ).
cnf(c_5438,plain,
( ~ end_point(X0,sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(X0,sk15) = ax0_sk7(sk15)
| ax0_sk11(X0,sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(superposition,[status(thm)],[c_102,c_5426]) ).
cnf(c_5463,plain,
( ~ open(sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(ax0_sk7(sk15),sk15) = ax0_sk7(sk15)
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(superposition,[status(thm)],[c_94,c_5438]) ).
cnf(c_5466,plain,
( sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(ax0_sk7(sk15),sk15) = ax0_sk7(sk15)
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5463,c_49]) ).
cnf(c_8469,plain,
( ~ incident_c(sk16,ax1_sk1(sk18,sk16,sk17,sk15))
| incident_c(sk16,ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16))
| end_point(sk16,ax1_sk1(sk18,sk16,sk17,sk15)) ),
inference(instantiation,[status(thm)],[c_3014]) ).
cnf(c_8470,plain,
( ~ incident_c(sk16,ax1_sk1(sk18,sk16,sk17,sk15))
| incident_c(sk16,ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16))
| end_point(sk16,ax1_sk1(sk18,sk16,sk17,sk15)) ),
inference(instantiation,[status(thm)],[c_3013]) ).
cnf(c_8471,plain,
( ~ part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16))
| ~ incident_c(sk16,ax1_sk1(sk18,sk16,sk17,sk15))
| end_point(sk16,ax1_sk1(sk18,sk16,sk17,sk15)) ),
inference(instantiation,[status(thm)],[c_3023]) ).
cnf(c_8625,plain,
( ~ part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16))
| ~ incident_c(sk16,ax1_sk1(sk18,sk16,sk17,sk15))
| end_point(sk16,ax1_sk1(sk18,sk16,sk17,sk15)) ),
inference(instantiation,[status(thm)],[c_3024]) ).
cnf(c_8894,plain,
( ax0_sk11(ax0_sk7(X0),X0) != ax0_sk7(X0)
| ~ end_point(ax0_sk7(X0),X0) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_8895,plain,
( ax0_sk11(ax0_sk7(sk15),sk15) != ax0_sk7(sk15)
| ~ end_point(ax0_sk7(sk15),sk15) ),
inference(instantiation,[status(thm)],[c_8894]) ).
cnf(c_19088,plain,
( ~ incident_c(X0,ax1_sk1(sk18,sk16,sk17,sk15))
| part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),X0),ax1_sk1(sk18,sk16,sk17,sk15))
| end_point(X0,ax1_sk1(sk18,sk16,sk17,sk15)) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_19211,plain,
( ~ incident_c(X0,ax1_sk1(sk18,sk16,sk17,sk15))
| part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),X0),ax1_sk1(sk18,sk16,sk17,sk15))
| end_point(X0,ax1_sk1(sk18,sk16,sk17,sk15)) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_22173,plain,
( end_point(sk16,sk15)
| inner_point(sk16,sk15) ),
inference(superposition,[status(thm)],[c_158,c_84]) ).
cnf(c_22365,plain,
( sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| end_point(sk16,sk15) ),
inference(superposition,[status(thm)],[c_22173,c_100]) ).
cnf(c_22631,plain,
( ~ end_point(X0,sk15)
| ~ end_point(X1,sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| X0 = X1
| X0 = sk16
| X1 = sk16 ),
inference(superposition,[status(thm)],[c_22365,c_101]) ).
cnf(c_22726,plain,
( ~ end_point(X0,sk15)
| ~ open(sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk7(sk15) = X0
| ax0_sk7(sk15) = sk16
| X0 = sk16 ),
inference(superposition,[status(thm)],[c_94,c_22631]) ).
cnf(c_22729,plain,
( ~ end_point(X0,sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk7(sk15) = X0
| ax0_sk7(sk15) = sk16
| X0 = sk16 ),
inference(forward_subsumption_resolution,[status(thm)],[c_22726,c_49]) ).
cnf(c_22739,plain,
( ~ end_point(X0,sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(X0,sk15) = ax0_sk7(sk15)
| ax0_sk11(X0,sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(superposition,[status(thm)],[c_102,c_22729]) ).
cnf(c_22821,plain,
( ~ open(sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(ax0_sk7(sk15),sk15) = ax0_sk7(sk15)
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(superposition,[status(thm)],[c_94,c_22739]) ).
cnf(c_22824,plain,
( sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(ax0_sk7(sk15),sk15) = ax0_sk7(sk15)
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(forward_subsumption_resolution,[status(thm)],[c_22821,c_49]) ).
cnf(c_22825,plain,
( sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(global_subsumption_just,[status(thm)],[c_22824,c_49,c_117,c_5466,c_8895]) ).
cnf(c_33651,plain,
( ~ incident_c(sk16,ax1_sk1(sk18,sk16,sk17,sk15))
| part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),ax1_sk1(sk18,sk16,sk17,sk15))
| end_point(sk16,ax1_sk1(sk18,sk16,sk17,sk15)) ),
inference(instantiation,[status(thm)],[c_19088]) ).
cnf(c_33918,plain,
( ~ incident_c(sk16,ax1_sk1(sk18,sk16,sk17,sk15))
| part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),ax1_sk1(sk18,sk16,sk17,sk15))
| end_point(sk16,ax1_sk1(sk18,sk16,sk17,sk15)) ),
inference(instantiation,[status(thm)],[c_19211]) ).
cnf(c_40712,plain,
( ~ open(sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)))
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| incident_c(ax0_sk7(sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15))),ax0_sk9(sk16,sk15))
| incident_c(ax0_sk7(sk15),ax0_sk10(sk16,sk15)) ),
inference(superposition,[status(thm)],[c_22825,c_2982]) ).
cnf(c_41087,plain,
( ~ part_of(X0,sk15)
| ~ open(X0)
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| incident_c(ax0_sk7(X0),ax0_sk9(sk16,sk15))
| incident_c(ax0_sk7(X0),ax0_sk10(sk16,sk15)) ),
inference(superposition,[status(thm)],[c_22825,c_2986]) ).
cnf(c_41089,plain,
( ~ part_of(sk15,sk15)
| ~ open(sk15)
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| incident_c(ax0_sk7(sk15),ax0_sk9(sk16,sk15))
| incident_c(ax0_sk7(sk15),ax0_sk10(sk16,sk15)) ),
inference(instantiation,[status(thm)],[c_41087]) ).
cnf(c_41938,plain,
( ~ open(sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)))
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| incident_c(ax0_sk7(sk15),ax0_sk9(sk16,sk15))
| incident_c(ax0_sk7(sk15),ax0_sk10(sk16,sk15)) ),
inference(superposition,[status(thm)],[c_22825,c_40712]) ).
cnf(c_41983,plain,
( ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| incident_c(ax0_sk7(sk15),ax0_sk9(sk16,sk15))
| incident_c(ax0_sk7(sk15),ax0_sk10(sk16,sk15)) ),
inference(global_subsumption_just,[status(thm)],[c_41938,c_49,c_2799,c_41089]) ).
cnf(c_46878,plain,
( end_point(sk16,sk15)
| inner_point(sk16,sk15) ),
inference(superposition,[status(thm)],[c_158,c_84]) ).
cnf(c_46893,plain,
( ~ part_of(sk15,X0)
| incident_c(sk16,X0) ),
inference(superposition,[status(thm)],[c_158,c_62]) ).
cnf(c_46894,plain,
( ~ part_of(X0,X1)
| incident_c(ax0_sk1(X0,X2),X1)
| part_of(X0,X2) ),
inference(superposition,[status(thm)],[c_63,c_62]) ).
cnf(c_47061,plain,
( sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| end_point(sk16,sk15) ),
inference(superposition,[status(thm)],[c_46878,c_100]) ).
cnf(c_47356,plain,
( ~ end_point(X0,sk15)
| ~ end_point(X1,sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| X0 = X1
| X0 = sk16
| X1 = sk16 ),
inference(superposition,[status(thm)],[c_47061,c_101]) ).
cnf(c_47425,plain,
( ~ end_point(X0,sk15)
| ~ open(sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk7(sk15) = X0
| ax0_sk7(sk15) = sk16
| X0 = sk16 ),
inference(superposition,[status(thm)],[c_94,c_47356]) ).
cnf(c_47428,plain,
( ~ end_point(X0,sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk7(sk15) = X0
| ax0_sk7(sk15) = sk16
| X0 = sk16 ),
inference(forward_subsumption_resolution,[status(thm)],[c_47425,c_49]) ).
cnf(c_47437,plain,
( ~ end_point(X0,sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(X0,sk15) = ax0_sk7(sk15)
| ax0_sk11(X0,sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(superposition,[status(thm)],[c_102,c_47428]) ).
cnf(c_47446,plain,
( ~ open(sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(ax0_sk7(sk15),sk15) = ax0_sk7(sk15)
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(superposition,[status(thm)],[c_94,c_47437]) ).
cnf(c_47449,plain,
( sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(ax0_sk7(sk15),sk15) = ax0_sk7(sk15)
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(forward_subsumption_resolution,[status(thm)],[c_47446,c_49]) ).
cnf(c_47450,plain,
( sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(global_subsumption_just,[status(thm)],[c_47449,c_49,c_117,c_5466,c_8895]) ).
cnf(c_47724,plain,
( ~ part_of(X0,X1)
| part_of(X0,sum(X1,X2)) ),
inference(superposition,[status(thm)],[c_46894,c_2814]) ).
cnf(c_47874,plain,
( ~ part_of(sk15,X0)
| incident_c(sk16,sum(X0,X1)) ),
inference(superposition,[status(thm)],[c_47724,c_46893]) ).
cnf(c_47905,plain,
( ~ part_of(sk15,X0)
| end_point(sk16,sum(X0,X1))
| inner_point(sk16,sum(X0,X1)) ),
inference(superposition,[status(thm)],[c_47874,c_84]) ).
cnf(c_49450,plain,
( ~ part_of(sk15,ax0_sk9(sk16,sk15))
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| end_point(sk16,sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)))
| inner_point(sk16,sk15) ),
inference(superposition,[status(thm)],[c_47450,c_47905]) ).
cnf(c_49501,plain,
( ~ part_of(sk15,ax0_sk9(sk16,sk15))
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| incident_c(sk16,sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)))
| inner_point(sk16,sk15) ),
inference(superposition,[status(thm)],[c_49450,c_74]) ).
cnf(c_69237,plain,
( ~ end_point(ax0_sk11(X0,X1),X2)
| ~ end_point(X0,X2)
| ~ part_of(X2,X3)
| ~ inner_point(X4,X2)
| ax0_sk11(X0,X1) = X0
| between_c(X3,ax0_sk11(X0,X1),X4,X0) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_69609,plain,
( ~ end_point(ax0_sk7(sk15),X0)
| ~ end_point(X1,X0)
| ~ end_point(sk16,X0)
| ax0_sk7(sk15) = sk16
| X1 = ax0_sk7(sk15)
| X1 = sk16 ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_72878,plain,
( ~ end_point(ax0_sk11(ax0_sk7(sk15),X0),X1)
| ~ end_point(ax0_sk7(sk15),X1)
| ~ end_point(sk16,X1)
| ax0_sk11(ax0_sk7(sk15),X0) = ax0_sk7(sk15)
| ax0_sk11(ax0_sk7(sk15),X0) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(instantiation,[status(thm)],[c_69609]) ).
cnf(c_72880,plain,
( ~ end_point(ax0_sk11(ax0_sk7(sk15),sk15),sk15)
| ~ end_point(ax0_sk7(sk15),sk15)
| ~ end_point(sk16,sk15)
| ax0_sk11(ax0_sk7(sk15),sk15) = ax0_sk7(sk15)
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(instantiation,[status(thm)],[c_72878]) ).
cnf(c_77018,plain,
( ~ incident_c(ax0_sk1(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),X0),X0)
| part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_77021,plain,
( ~ incident_c(ax0_sk1(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),sk15),sk15)
| part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),sk15) ),
inference(instantiation,[status(thm)],[c_77018]) ).
cnf(c_77038,plain,
( ~ incident_c(ax0_sk1(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),X0),X0)
| part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_77041,plain,
( ~ incident_c(ax0_sk1(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),sk15),sk15)
| part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),sk15) ),
inference(instantiation,[status(thm)],[c_77038]) ).
cnf(c_98551,plain,
( ax0_sk7(sk15) = sk16
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| inner_point(sk16,sk15) ),
inference(global_subsumption_just,[status(thm)],[c_49501,c_49,c_117,c_158,c_2686,c_2691,c_8895,c_72880]) ).
cnf(c_98552,plain,
( ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| inner_point(sk16,sk15) ),
inference(renaming,[status(thm)],[c_98551]) ).
cnf(c_123775,plain,
( end_point(sk16,sk15)
| inner_point(sk16,sk15) ),
inference(superposition,[status(thm)],[c_158,c_84]) ).
cnf(c_123932,plain,
( sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| end_point(sk16,sk15) ),
inference(superposition,[status(thm)],[c_123775,c_100]) ).
cnf(c_124221,plain,
( sum(X0,X1) = X1
| incident_c(ax0_sk2(X1,X0,X1),X0)
| incident_c(ax0_sk2(X1,X0,X1),X1) ),
inference(equality_factoring,[status(thm)],[c_68]) ).
cnf(c_124289,plain,
part_of(X0,sum(X1,X0)),
inference(superposition,[status(thm)],[c_63,c_2810]) ).
cnf(c_124304,plain,
( ~ end_point(X0,sk15)
| ~ end_point(X1,sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| X0 = X1
| X0 = sk16
| X1 = sk16 ),
inference(superposition,[status(thm)],[c_123932,c_101]) ).
cnf(c_124405,plain,
( ~ end_point(X0,sk15)
| ~ open(sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk7(sk15) = X0
| ax0_sk7(sk15) = sk16
| X0 = sk16 ),
inference(superposition,[status(thm)],[c_94,c_124304]) ).
cnf(c_124408,plain,
( ~ end_point(X0,sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk7(sk15) = X0
| ax0_sk7(sk15) = sk16
| X0 = sk16 ),
inference(forward_subsumption_resolution,[status(thm)],[c_124405,c_49]) ).
cnf(c_124441,plain,
( ~ incident_c(ax0_sk1(X0,sum(sum(X1,X2),X3)),X2)
| part_of(X0,sum(sum(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_111,c_2814]) ).
cnf(c_124472,plain,
( ~ end_point(X0,sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(X0,sk15) = ax0_sk7(sk15)
| ax0_sk11(X0,sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(superposition,[status(thm)],[c_102,c_124408]) ).
cnf(c_124482,plain,
( ~ open(sk15)
| sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(ax0_sk7(sk15),sk15) = ax0_sk7(sk15)
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(superposition,[status(thm)],[c_94,c_124472]) ).
cnf(c_124485,plain,
( sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(ax0_sk7(sk15),sk15) = ax0_sk7(sk15)
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(forward_subsumption_resolution,[status(thm)],[c_124482,c_49]) ).
cnf(c_124486,plain,
( sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)) = sk15
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(global_subsumption_just,[status(thm)],[c_124485,c_49,c_117,c_2686,c_3814,c_8895,c_72880]) ).
cnf(c_124504,plain,
( ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| part_of(ax0_sk10(sk16,sk15),sk15) ),
inference(superposition,[status(thm)],[c_124486,c_124289]) ).
cnf(c_125131,plain,
( ~ incident_c(X0,ax0_sk10(sk16,sk15))
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| end_point(X0,sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)))
| inner_point(X0,sk15) ),
inference(superposition,[status(thm)],[c_124486,c_2822]) ).
cnf(c_125177,plain,
( ~ incident_c(X0,ax0_sk10(sk16,sk15))
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| end_point(X0,sk15)
| inner_point(X0,sk15) ),
inference(superposition,[status(thm)],[c_124486,c_125131]) ).
cnf(c_127800,plain,
( ~ open(sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)))
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| incident_c(ax0_sk7(sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15))),ax0_sk9(sk16,sk15))
| incident_c(ax0_sk7(sk15),ax0_sk10(sk16,sk15)) ),
inference(superposition,[status(thm)],[c_124486,c_2982]) ).
cnf(c_127850,plain,
( ~ open(sum(ax0_sk9(sk16,sk15),ax0_sk10(sk16,sk15)))
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| incident_c(ax0_sk7(sk15),ax0_sk9(sk16,sk15))
| incident_c(ax0_sk7(sk15),ax0_sk10(sk16,sk15)) ),
inference(superposition,[status(thm)],[c_124486,c_127800]) ).
cnf(c_127856,plain,
( ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| incident_c(ax0_sk7(sk15),ax0_sk9(sk16,sk15))
| incident_c(ax0_sk7(sk15),ax0_sk10(sk16,sk15)) ),
inference(global_subsumption_just,[status(thm)],[c_127850,c_41983]) ).
cnf(c_127864,plain,
( ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| incident_c(ax0_sk7(sk15),ax0_sk9(sk16,sk15))
| end_point(ax0_sk7(sk15),sk15)
| inner_point(ax0_sk7(sk15),sk15) ),
inference(superposition,[status(thm)],[c_127856,c_125177]) ).
cnf(c_127885,plain,
end_point(ax0_sk7(sk15),sk15),
inference(global_subsumption_just,[status(thm)],[c_127864,c_49,c_117]) ).
cnf(c_129305,plain,
part_of(X0,sum(sum(X1,X0),X2)),
inference(superposition,[status(thm)],[c_63,c_124441]) ).
cnf(c_129336,plain,
( ~ part_of(sum(sum(X0,X1),X2),X3)
| ~ open(X1)
| incident_c(ax0_sk7(X1),X3) ),
inference(superposition,[status(thm)],[c_129305,c_2930]) ).
cnf(c_136642,plain,
( ~ incident_c(ax0_sk2(X0,X1,X0),X0)
| sum(X1,X0) = X0
| incident_c(ax0_sk2(X0,X1,X0),X1) ),
inference(superposition,[status(thm)],[c_124221,c_73]) ).
cnf(c_151131,plain,
( ~ end_point(ax0_sk11(X0,X1),sk15)
| ~ end_point(X0,sk15)
| ~ part_of(sk15,X2)
| ~ inner_point(sk16,sk15)
| ax0_sk11(X0,X1) = X0
| between_c(X2,ax0_sk11(X0,X1),sk16,X0) ),
inference(instantiation,[status(thm)],[c_69237]) ).
cnf(c_157705,plain,
( ~ end_point(ax0_sk11(X0,X1),sk15)
| ~ end_point(X0,sk15)
| ~ part_of(sk15,sk15)
| ~ inner_point(sk16,sk15)
| ax0_sk11(X0,X1) = X0
| between_c(sk15,ax0_sk11(X0,X1),sk16,X0) ),
inference(instantiation,[status(thm)],[c_151131]) ).
cnf(c_157707,plain,
( ~ between_c(sk15,ax0_sk11(X0,X1),sk16,X0)
| end_point(sk16,sk15) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_161321,plain,
( sum(X0,X1) = X1
| incident_c(ax0_sk2(X1,X0,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136642,c_124221]) ).
cnf(c_161322,plain,
( ~ part_of(X0,X1)
| sum(X0,X2) = X2
| incident_c(ax0_sk2(X2,X0,X2),X1) ),
inference(superposition,[status(thm)],[c_161321,c_62]) ).
cnf(c_161758,plain,
( ~ incident_c(ax0_sk2(X0,X1,X0),X0)
| ~ part_of(X1,X0)
| sum(X1,X0) = X0 ),
inference(superposition,[status(thm)],[c_161322,c_73]) ).
cnf(c_163698,plain,
( ~ part_of(X0,X1)
| sum(X0,X1) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_161758,c_161322]) ).
cnf(c_163715,plain,
( sum(ax0_sk10(sk16,sk15),sk15) = sk15
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(superposition,[status(thm)],[c_124504,c_163698]) ).
cnf(c_166189,plain,
( ~ end_point(ax0_sk11(ax0_sk7(sk15),X0),sk15)
| ~ end_point(ax0_sk7(sk15),sk15)
| ~ part_of(sk15,sk15)
| ~ inner_point(sk16,sk15)
| ax0_sk11(ax0_sk7(sk15),X0) = ax0_sk7(sk15)
| between_c(sk15,ax0_sk11(ax0_sk7(sk15),X0),sk16,ax0_sk7(sk15)) ),
inference(instantiation,[status(thm)],[c_157705]) ).
cnf(c_166190,plain,
( ~ end_point(ax0_sk11(ax0_sk7(sk15),sk15),sk15)
| ~ end_point(ax0_sk7(sk15),sk15)
| ~ part_of(sk15,sk15)
| ~ inner_point(sk16,sk15)
| ax0_sk11(ax0_sk7(sk15),sk15) = ax0_sk7(sk15)
| between_c(sk15,ax0_sk11(ax0_sk7(sk15),sk15),sk16,ax0_sk7(sk15)) ),
inference(instantiation,[status(thm)],[c_166189]) ).
cnf(c_177605,plain,
( ~ part_of(sum(sk15,X0),X1)
| ~ open(sk15)
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| incident_c(ax0_sk7(sk15),X1) ),
inference(superposition,[status(thm)],[c_163715,c_129336]) ).
cnf(c_177909,plain,
( ~ part_of(sum(sk15,X0),X1)
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16
| incident_c(ax0_sk7(sk15),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177605,c_49]) ).
cnf(c_178042,plain,
( ~ between_c(sk15,ax0_sk11(ax0_sk7(sk15),X0),sk16,ax0_sk7(sk15))
| end_point(sk16,sk15) ),
inference(instantiation,[status(thm)],[c_157707]) ).
cnf(c_178043,plain,
( ~ between_c(sk15,ax0_sk11(ax0_sk7(sk15),sk15),sk16,ax0_sk7(sk15))
| end_point(sk16,sk15) ),
inference(instantiation,[status(thm)],[c_178042]) ).
cnf(c_179108,plain,
( ax0_sk7(sk15) = sk16
| ax0_sk11(ax0_sk7(sk15),sk15) = sk16 ),
inference(global_subsumption_just,[status(thm)],[c_177909,c_49,c_117,c_158,c_2686,c_2691,c_2746,c_2799,c_8895,c_98552,c_166190,c_178043]) ).
cnf(c_179109,plain,
( ax0_sk11(ax0_sk7(sk15),sk15) = sk16
| ax0_sk7(sk15) = sk16 ),
inference(renaming,[status(thm)],[c_179108]) ).
cnf(c_179116,plain,
( ~ end_point(ax0_sk7(sk15),sk15)
| ax0_sk7(sk15) = sk16
| end_point(sk16,sk15) ),
inference(superposition,[status(thm)],[c_179109,c_102]) ).
cnf(c_179118,plain,
( ax0_sk7(sk15) = sk16
| end_point(sk16,sk15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179116,c_127885]) ).
cnf(c_179123,plain,
end_point(sk16,sk15),
inference(global_subsumption_just,[status(thm)],[c_179118,c_49,c_117,c_158,c_2686,c_2691,c_2799,c_8895,c_166190,c_178043]) ).
cnf(c_222232,plain,
( ~ incident_c(X0,ax0_sk3(X1,X2))
| ~ incident_c(X0,ax0_sk4(X1,X2))
| ~ part_of(ax0_sk3(X1,X2),X3)
| ~ part_of(ax0_sk4(X1,X2),X3)
| ~ end_point(X0,X3)
| part_of(ax0_sk3(X1,X2),ax0_sk4(X1,X2))
| part_of(ax0_sk4(X1,X2),ax0_sk3(X1,X2)) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_225144,plain,
( ~ part_of(ax0_sk3(X0,X1),X2)
| ~ part_of(X2,X3)
| incident_c(ax0_sk1(ax0_sk3(X0,X1),X4),X3)
| part_of(ax0_sk3(X0,X1),X4) ),
inference(instantiation,[status(thm)],[c_3009]) ).
cnf(c_243911,plain,
( ~ part_of(ax0_sk3(X0,X1),X2)
| ~ part_of(ax0_sk4(X0,X1),X2)
| ~ incident_c(sk16,ax0_sk3(X0,X1))
| ~ incident_c(sk16,ax0_sk4(X0,X1))
| ~ end_point(sk16,X2)
| part_of(ax0_sk3(X0,X1),ax0_sk4(X0,X1))
| part_of(ax0_sk4(X0,X1),ax0_sk3(X0,X1)) ),
inference(instantiation,[status(thm)],[c_222232]) ).
cnf(c_246705,plain,
( ~ part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),X0)
| ~ part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),X0)
| ~ incident_c(sk16,ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16))
| ~ incident_c(sk16,ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16))
| ~ end_point(sk16,X0)
| part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16))
| part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16)) ),
inference(instantiation,[status(thm)],[c_243911]) ).
cnf(c_246706,plain,
( ~ incident_c(sk16,ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16))
| ~ incident_c(sk16,ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16))
| ~ part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),sk15)
| ~ part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),sk15)
| ~ end_point(sk16,sk15)
| part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16))
| part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16)) ),
inference(instantiation,[status(thm)],[c_246705]) ).
cnf(c_303488,plain,
( ~ part_of(ax0_sk3(X0,X1),ax1_sk1(sk18,sk16,sk17,sk15))
| ~ part_of(ax1_sk1(sk18,sk16,sk17,sk15),X2)
| incident_c(ax0_sk1(ax0_sk3(X0,X1),X3),X2)
| part_of(ax0_sk3(X0,X1),X3) ),
inference(instantiation,[status(thm)],[c_225144]) ).
cnf(c_310704,plain,
( ~ part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),ax1_sk1(sk18,sk16,sk17,sk15))
| ~ part_of(ax1_sk1(sk18,sk16,sk17,sk15),X0)
| incident_c(ax0_sk1(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),X1),X0)
| part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),X1) ),
inference(instantiation,[status(thm)],[c_303488]) ).
cnf(c_310705,plain,
( ~ part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),ax1_sk1(sk18,sk16,sk17,sk15))
| ~ part_of(ax1_sk1(sk18,sk16,sk17,sk15),sk15)
| incident_c(ax0_sk1(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),sk15),sk15)
| part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),sk15) ),
inference(instantiation,[status(thm)],[c_310704]) ).
cnf(c_370119,plain,
( ~ part_of(ax0_sk4(X0,X1),X2)
| ~ part_of(X2,X3)
| incident_c(ax0_sk1(ax0_sk4(X0,X1),X4),X3)
| part_of(ax0_sk4(X0,X1),X4) ),
inference(instantiation,[status(thm)],[c_3009]) ).
cnf(c_473403,plain,
( ~ part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),X0),X1)
| ~ part_of(X1,X2)
| incident_c(ax0_sk1(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),X0),sk15),X2)
| part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),X0),sk15) ),
inference(instantiation,[status(thm)],[c_370119]) ).
cnf(c_494236,plain,
( ~ part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),ax1_sk1(sk18,sk16,sk17,sk15))
| ~ part_of(ax1_sk1(sk18,sk16,sk17,sk15),X0)
| incident_c(ax0_sk1(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),sk15),X0)
| part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),sk15) ),
inference(instantiation,[status(thm)],[c_473403]) ).
cnf(c_494237,plain,
( ~ part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),ax1_sk1(sk18,sk16,sk17,sk15))
| ~ part_of(ax1_sk1(sk18,sk16,sk17,sk15),sk15)
| incident_c(ax0_sk1(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),sk15),sk15)
| part_of(ax0_sk4(ax1_sk1(sk18,sk16,sk17,sk15),sk16),sk15) ),
inference(instantiation,[status(thm)],[c_494236]) ).
cnf(c_494238,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_494237,c_310705,c_246706,c_179123,c_77041,c_77021,c_33918,c_33651,c_8625,c_8469,c_8470,c_8471,c_4051,c_4052,c_2885,c_2888,c_158,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO109-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 01:31:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 271.32/35.91 % SZS status Started for theBenchmark.p
% 271.32/35.91 % SZS status Unsatisfiable for theBenchmark.p
% 271.32/35.91
% 271.32/35.91 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 271.32/35.91
% 271.32/35.91 ------ iProver source info
% 271.32/35.91
% 271.32/35.91 git: date: 2024-05-02 19:28:25 +0000
% 271.32/35.91 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 271.32/35.91 git: non_committed_changes: false
% 271.32/35.91
% 271.32/35.91 ------ Parsing...successful
% 271.32/35.91
% 271.32/35.91
% 271.32/35.91
% 271.32/35.91 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 271.32/35.91
% 271.32/35.91 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 271.32/35.91
% 271.32/35.91 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 271.32/35.91 ------ Proving...
% 271.32/35.91 ------ Problem Properties
% 271.32/35.91
% 271.32/35.91
% 271.32/35.91 clauses 54
% 271.32/35.91 conjectures 2
% 271.32/35.91 EPR 22
% 271.32/35.91 Horn 37
% 271.32/35.91 unary 4
% 271.32/35.91 binary 25
% 271.32/35.91 lits 156
% 271.32/35.91 lits eq 13
% 271.32/35.91 fd_pure 0
% 271.32/35.91 fd_pseudo 0
% 271.32/35.91 fd_cond 0
% 271.32/35.91 fd_pseudo_cond 8
% 271.32/35.91 AC symbols 0
% 271.32/35.91
% 271.32/35.91 ------ Input Options Time Limit: Unbounded
% 271.32/35.91
% 271.32/35.91
% 271.32/35.91 ------
% 271.32/35.91 Current options:
% 271.32/35.91 ------
% 271.32/35.91
% 271.32/35.91
% 271.32/35.91
% 271.32/35.91
% 271.32/35.91 ------ Proving...
% 271.32/35.91
% 271.32/35.91
% 271.32/35.91 % SZS status Unsatisfiable for theBenchmark.p
% 271.32/35.91
% 271.32/35.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 271.32/35.92
% 271.32/35.93
%------------------------------------------------------------------------------