TSTP Solution File: GEO109-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO109-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 : Wed Aug 30 23:09:25 EDT 2023

% Result   : Unsatisfiable 152.31s 21.26s
% Output   : CNFRefutation 152.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   81 (   6 unt;  34 nHn;  77 RR)
%            Number of literals    :  241 (  16 equ; 131 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-4 aty)
%            Number of variables   :  109 (   3 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_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_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_117,plain,
    ( ~ open(sk15)
    | end_point(ax0_sk7(sk15),sk15) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_152,plain,
    ( end_point(sk16,sk15)
    | incident_c(sk16,sk15) ),
    inference(prop_impl_just,[status(thm)],[c_50]) ).

cnf(c_166,plain,
    ( ~ end_point(X0,X1)
    | incident_c(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_74]) ).

cnf(c_254,plain,
    incident_c(sk16,sk15),
    inference(forward_subsumption_resolution,[status(thm)],[c_152,c_166]) ).

cnf(c_818,plain,
    ( ~ end_point(sk16,sk15)
    | between_c(sk15,sk17,sk16,sk18) ),
    inference(prop_impl_just,[status(thm)],[c_55,c_254]) ).

cnf(c_824,plain,
    ( ~ between_c(X0,X1,X2,X3)
    | part_of(ax1_sk1(X3,X2,X1,X0),X0) ),
    inference(prop_impl_just,[status(thm)],[c_57]) ).

cnf(c_830,plain,
    ( ~ between_c(X0,X1,X2,X3)
    | inner_point(X2,ax1_sk1(X3,X2,X1,X0)) ),
    inference(prop_impl_just,[status(thm)],[c_60]) ).

cnf(c_1489,plain,
    ( X0 != sk15
    | X1 != sk16
    | X2 != sk17
    | X3 != sk18
    | ~ end_point(sk16,sk15)
    | inner_point(X1,ax1_sk1(X3,X1,X2,X0)) ),
    inference(resolution_lifted,[status(thm)],[c_818,c_830]) ).

cnf(c_1490,plain,
    ( ~ end_point(sk16,sk15)
    | inner_point(sk16,ax1_sk1(sk18,sk16,sk17,sk15)) ),
    inference(unflattening,[status(thm)],[c_1489]) ).

cnf(c_1513,plain,
    ( X0 != sk15
    | X1 != sk16
    | X2 != sk17
    | X3 != sk18
    | ~ end_point(sk16,sk15)
    | part_of(ax1_sk1(X3,X1,X2,X0),X0) ),
    inference(resolution_lifted,[status(thm)],[c_818,c_824]) ).

cnf(c_1514,plain,
    ( ~ end_point(sk16,sk15)
    | part_of(ax1_sk1(sk18,sk16,sk17,sk15),sk15) ),
    inference(unflattening,[status(thm)],[c_1513]) ).

cnf(c_3470,plain,
    ( ~ end_point(ax0_sk7(X0),X0)
    | end_point(ax0_sk11(ax0_sk7(X0),X0),X0) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_3471,plain,
    ( ~ end_point(ax0_sk7(sk15),sk15)
    | end_point(ax0_sk11(ax0_sk7(sk15),sk15),sk15) ),
    inference(instantiation,[status(thm)],[c_3470]) ).

cnf(c_3476,plain,
    ( ~ incident_c(sk16,sk15)
    | end_point(sk16,sk15)
    | inner_point(sk16,sk15) ),
    inference(instantiation,[status(thm)],[c_84]) ).

cnf(c_3572,plain,
    ( ~ incident_c(sk16,X0)
    | incident_c(sk16,ax0_sk4(X0,sk16))
    | end_point(sk16,X0) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_3573,plain,
    ( ~ incident_c(sk16,X0)
    | incident_c(sk16,ax0_sk3(X0,sk16))
    | end_point(sk16,X0) ),
    inference(instantiation,[status(thm)],[c_78]) ).

cnf(c_3574,plain,
    ( ~ incident_c(sk16,X0)
    | part_of(ax0_sk4(X0,sk16),X0)
    | end_point(sk16,X0) ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_3575,plain,
    ( ~ incident_c(sk16,X0)
    | part_of(ax0_sk3(X0,sk16),X0)
    | end_point(sk16,X0) ),
    inference(instantiation,[status(thm)],[c_76]) ).

cnf(c_3582,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_3583,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_3664,plain,
    ( ~ end_point(X0,sk15)
    | ~ end_point(X1,sk15)
    | ~ part_of(sk15,X2)
    | ~ inner_point(sk16,sk15)
    | X0 = X1
    | between_c(X2,X0,sk16,X1) ),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_3811,plain,
    ( ~ end_point(ax0_sk11(ax0_sk7(X0),X0),X0)
    | end_point(ax0_sk11(ax0_sk11(ax0_sk7(X0),X0),X0),X0) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_3814,plain,
    ( ~ end_point(ax0_sk11(ax0_sk7(sk15),sk15),sk15)
    | end_point(ax0_sk11(ax0_sk11(ax0_sk7(sk15),sk15),sk15),sk15) ),
    inference(instantiation,[status(thm)],[c_3811]) ).

cnf(c_3855,plain,
    ( ax0_sk11(ax0_sk11(ax0_sk7(X0),X0),X0) != ax0_sk11(ax0_sk7(X0),X0)
    | ~ end_point(ax0_sk11(ax0_sk7(X0),X0),X0) ),
    inference(instantiation,[status(thm)],[c_103]) ).

cnf(c_3856,plain,
    ( ax0_sk11(ax0_sk11(ax0_sk7(sk15),sk15),sk15) != ax0_sk11(ax0_sk7(sk15),sk15)
    | ~ end_point(ax0_sk11(ax0_sk7(sk15),sk15),sk15) ),
    inference(instantiation,[status(thm)],[c_3855]) ).

cnf(c_4050,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_4088,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_4098,plain,
    part_of(X0,X0),
    inference(superposition,[status(thm)],[c_63,c_64]) ).

cnf(c_4099,plain,
    part_of(sk15,sk15),
    inference(instantiation,[status(thm)],[c_4098]) ).

cnf(c_4169,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_4429,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_4169,c_62]) ).

cnf(c_5733,plain,
    ( ~ end_point(ax0_sk11(ax0_sk7(sk15),sk15),sk15)
    | ~ end_point(X0,sk15)
    | ~ part_of(sk15,X1)
    | ~ inner_point(sk16,sk15)
    | X0 = ax0_sk11(ax0_sk7(sk15),sk15)
    | between_c(X1,X0,sk16,ax0_sk11(ax0_sk7(sk15),sk15)) ),
    inference(instantiation,[status(thm)],[c_3664]) ).

cnf(c_7934,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_3572]) ).

cnf(c_8129,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_3582]) ).

cnf(c_8142,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_3583]) ).

cnf(c_9635,plain,
    ( ~ end_point(ax0_sk11(ax0_sk7(sk15),sk15),sk15)
    | ~ end_point(X0,sk15)
    | ~ part_of(sk15,sk15)
    | ~ inner_point(sk16,sk15)
    | X0 = ax0_sk11(ax0_sk7(sk15),sk15)
    | between_c(sk15,X0,sk16,ax0_sk11(ax0_sk7(sk15),sk15)) ),
    inference(instantiation,[status(thm)],[c_5733]) ).

cnf(c_9636,plain,
    ( ~ between_c(sk15,X0,sk16,ax0_sk11(ax0_sk7(sk15),sk15))
    | end_point(sk16,sk15) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_12997,plain,
    ( ~ end_point(ax0_sk11(ax0_sk11(ax0_sk7(sk15),sk15),sk15),sk15)
    | ~ end_point(ax0_sk11(ax0_sk7(sk15),sk15),sk15)
    | ~ part_of(sk15,sk15)
    | ~ inner_point(sk16,sk15)
    | ax0_sk11(ax0_sk11(ax0_sk7(sk15),sk15),sk15) = ax0_sk11(ax0_sk7(sk15),sk15)
    | between_c(sk15,ax0_sk11(ax0_sk11(ax0_sk7(sk15),sk15),sk15),sk16,ax0_sk11(ax0_sk7(sk15),sk15)) ),
    inference(instantiation,[status(thm)],[c_9635]) ).

cnf(c_17781,plain,
    ( ~ between_c(sk15,ax0_sk11(ax0_sk11(ax0_sk7(sk15),sk15),sk15),sk16,ax0_sk11(ax0_sk7(sk15),sk15))
    | end_point(sk16,sk15) ),
    inference(instantiation,[status(thm)],[c_9636]) ).

cnf(c_22257,negated_conjecture,
    end_point(sk16,sk15),
    inference(global_subsumption_just,[status(thm)],[c_51,c_49,c_117,c_254,c_3471,c_3476,c_3814,c_3856,c_4099,c_12997,c_17781]) ).

cnf(c_27861,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_3573]) ).

cnf(c_28890,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_3574]) ).

cnf(c_28911,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_3575]) ).

cnf(c_45271,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_45274,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_45271]) ).

cnf(c_45302,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_45305,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_45302]) ).

cnf(c_62876,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_69503,plain,
    ( ~ incident_c(sk16,ax0_sk3(X0,X1))
    | ~ incident_c(sk16,ax0_sk4(X0,X1))
    | ~ part_of(ax0_sk3(X0,X1),sk15)
    | ~ part_of(ax0_sk4(X0,X1),sk15)
    | ~ end_point(sk16,sk15)
    | 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_62876]) ).

cnf(c_74057,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_69503]) ).

cnf(c_161897,plain,
    ( ~ part_of(ax0_sk4(X0,sk16),X1)
    | ~ part_of(X1,X2)
    | incident_c(ax0_sk1(ax0_sk4(X0,sk16),sk15),X2)
    | part_of(ax0_sk4(X0,sk16),sk15) ),
    inference(instantiation,[status(thm)],[c_4429]) ).

cnf(c_166554,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_161897]) ).

cnf(c_166555,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_166554]) ).

cnf(c_204832,plain,
    ( ~ part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,X0),sk16),X1)
    | ~ part_of(X1,X2)
    | incident_c(ax0_sk1(ax0_sk3(ax1_sk1(sk18,sk16,sk17,X0),sk16),sk15),X2)
    | part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,X0),sk16),sk15) ),
    inference(instantiation,[status(thm)],[c_4429]) ).

cnf(c_217824,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),sk15),X0)
    | part_of(ax0_sk3(ax1_sk1(sk18,sk16,sk17,sk15),sk16),sk15) ),
    inference(instantiation,[status(thm)],[c_204832]) ).

cnf(c_217825,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_217824]) ).

cnf(c_219599,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_217825,c_166555,c_74057,c_45305,c_45274,c_28911,c_28890,c_27861,c_22257,c_8142,c_8129,c_7934,c_4088,c_4050,c_1514,c_1490]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO109-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 23:35:36 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 152.31/21.26  % SZS status Started for theBenchmark.p
% 152.31/21.26  % SZS status Unsatisfiable for theBenchmark.p
% 152.31/21.26  
% 152.31/21.26  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 152.31/21.26  
% 152.31/21.26  ------  iProver source info
% 152.31/21.26  
% 152.31/21.26  git: date: 2023-05-31 18:12:56 +0000
% 152.31/21.26  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 152.31/21.26  git: non_committed_changes: false
% 152.31/21.26  git: last_make_outside_of_git: false
% 152.31/21.26  
% 152.31/21.26  ------ Parsing...successful
% 152.31/21.26  
% 152.31/21.26  
% 152.31/21.26  
% 152.31/21.26  ------ 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  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 152.31/21.26  
% 152.31/21.26  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 152.31/21.26  
% 152.31/21.26  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 152.31/21.26  ------ Proving...
% 152.31/21.26  ------ Problem Properties 
% 152.31/21.26  
% 152.31/21.26  
% 152.31/21.26  clauses                                 53
% 152.31/21.26  conjectures                             2
% 152.31/21.26  EPR                                     21
% 152.31/21.26  Horn                                    36
% 152.31/21.26  unary                                   4
% 152.31/21.26  binary                                  24
% 152.31/21.26  lits                                    154
% 152.31/21.26  lits eq                                 13
% 152.31/21.26  fd_pure                                 0
% 152.31/21.26  fd_pseudo                               0
% 152.31/21.26  fd_cond                                 0
% 152.31/21.26  fd_pseudo_cond                          8
% 152.31/21.26  AC symbols                              0
% 152.31/21.26  
% 152.31/21.26  ------ Input Options Time Limit: Unbounded
% 152.31/21.26  
% 152.31/21.26  
% 152.31/21.26  ------ 
% 152.31/21.26  Current options:
% 152.31/21.26  ------ 
% 152.31/21.26  
% 152.31/21.26  
% 152.31/21.26  
% 152.31/21.26  
% 152.31/21.26  ------ Proving...
% 152.31/21.26  
% 152.31/21.26  
% 152.31/21.26  % SZS status Unsatisfiable for theBenchmark.p
% 152.31/21.26  
% 152.31/21.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 152.31/21.27  
% 152.31/21.28  
%------------------------------------------------------------------------------