%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT083+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 08:50:50 AM UTC 2026
% Result : Theorem 0.15s 0.42s
% Output : Proof 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(irreflexive,axiom,
! [X] : ~ less(X,X),
file('MGT002+0.ax',irreflexive) ).
fof(transitive,axiom,
! [X,Y,Z] :
( ( less(Y,Z)
& less(X,Y) )
=> less(X,Z) ),
file('MGT002+0.ax',transitive) ).
fof(trichotomy,axiom,
! [X,Y] :
( less(Y,X)
| X = Y
| less(X,Y) ),
file('MGT002+0.ax',trichotomy) ).
fof(leq_def,axiom,
! [X,Y] :
( leq(X,Y)
<=> ( X = Y
| less(X,Y) ) ),
file('MGT002+0.ax',leq_def) ).
fof(leq_antisym,axiom,
! [X,Y] :
( ( leq(Y,X)
& leq(X,Y) )
=> X = Y ),
file('MGT002+0.ax',leq_antisym) ).
fof(less_implies_leq,axiom,
! [X,Y] :
( less(X,Y)
=> leq(X,Y) ),
file('MGT002+0.ax',less_implies_leq) ).
fof(leq_less_trans,axiom,
! [X,Y,Z] :
( ( less(Y,Z)
& leq(X,Y) )
=> less(X,Z) ),
file('MGT002+0.ax',leq_less_trans) ).
fof(less_leq_trans,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& less(X,Y) )
=> less(X,Z) ),
file('MGT002+0.ax',less_leq_trans) ).
fof(leq_trans,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& leq(X,Y) )
=> leq(X,Z) ),
file('MGT002+0.ax',leq_trans) ).
fof(in_closed,axiom,
! [X,A,B] :
( in_closed(X,A,B)
<=> ( leq(X,B)
& leq(A,X) ) ),
file('MGT002+2.ax',in_closed) ).
fof(in_lopen,axiom,
! [X,A,B] :
( in_lopen(X,A,B)
<=> ( leq(X,B)
& less(A,X) ) ),
file('MGT002+2.ax',in_lopen) ).
fof(in_ropen,axiom,
! [X,A,B] :
( in_ropen(X,A,B)
<=> ( less(X,B)
& leq(A,X) ) ),
file('MGT002+2.ax',in_ropen) ).
fof(in_open,axiom,
! [X,A,B] :
( in_open(X,A,B)
<=> ( less(X,B)
& less(A,X) ) ),
file('MGT002+2.ax',in_open) ).
fof(axis_conflict_def,axiom,
! [I1lo,I1hi,I2lo,I2hi] :
( axis_conflict(I1lo,I1hi,I2lo,I2hi)
<=> ~ ? [X] :
( in_closed(X,I2lo,I2hi)
& in_closed(X,I1lo,I1hi) ) ),
file('MGT002+2.ax',axis_conflict_def) ).
fof(axis_compatible_def,axiom,
! [I1lo,I1hi,I2lo,I2hi] :
( axis_compatible(I1lo,I1hi,I2lo,I2hi)
<=> ? [X] :
( in_closed(X,I2lo,I2hi)
& in_closed(X,I1lo,I1hi) ) ),
file('MGT002+2.ax',axis_compatible_def) ).
fof(axis_subsumes_def,axiom,
! [I1lo,I1hi,I2lo,I2hi] :
( axis_subsumes(I1lo,I1hi,I2lo,I2hi)
<=> ! [X] :
( in_closed(X,I1lo,I1hi)
=> in_closed(X,I2lo,I2hi) ) ),
file('MGT002+2.ax',axis_subsumes_def) ).
fof(conflict_is_verdict,axiom,
is_verdict(conflict),
file('MGT002+2.ax',conflict_is_verdict) ).
fof(compatible_is_verdict,axiom,
is_verdict(compatible),
file('MGT002+2.ax',compatible_is_verdict) ).
fof(unknown_is_verdict,axiom,
is_verdict(unknown),
file('MGT002+2.ax',unknown_is_verdict) ).
fof(verdicts_distinct_cf_cp,axiom,
conflict != compatible,
file('MGT002+2.ax',verdicts_distinct_cf_cp) ).
fof(verdicts_distinct_cf_un,axiom,
conflict != unknown,
file('MGT002+2.ax',verdicts_distinct_cf_un) ).
fof(verdicts_distinct_cp_un,axiom,
compatible != unknown,
file('MGT002+2.ax',verdicts_distinct_cp_un) ).
fof(verdict_enum,axiom,
! [V] :
( is_verdict(V)
=> ( V = unknown
| V = compatible
| V = conflict ) ),
file('MGT002+2.ax',verdict_enum) ).
fof(box_conflict,axiom,
! [V1,V2] :
( ( ( V2 = conflict
| V1 = conflict )
& is_verdict(V2)
& is_verdict(V1) )
=> box_verdict(V1,V2) = conflict ),
file('MGT002+2.ax',box_conflict) ).
fof(box_compatible,axiom,
! [V1,V2] :
( ( V2 = compatible
& V1 = compatible
& is_verdict(V2)
& is_verdict(V1) )
=> box_verdict(V1,V2) = compatible ),
file('MGT002+2.ax',box_compatible) ).
fof(box_unknown,axiom,
! [V1,V2] :
( ( V2 != conflict
& V1 != conflict
& ( V2 = unknown
| V1 = unknown )
& is_verdict(V2)
& is_verdict(V1) )
=> box_verdict(V1,V2) = unknown ),
file('MGT002+2.ax',box_unknown) ).
fof(box_verdict_total,axiom,
! [V1,V2] :
( ( is_verdict(V2)
& is_verdict(V1) )
=> ( box_verdict(V1,V2) = unknown
| box_verdict(V1,V2) = compatible
| box_verdict(V1,V2) = conflict ) ),
file('MGT002+2.ax',box_verdict_total) ).
fof(val_v0,axiom,
val(v0),
file('theBenchmark.p',val_v0) ).
fof(val_v600,axiom,
val(v600),
file('theBenchmark.p',val_v600) ).
fof(ord_v0_v600,axiom,
less(v0,v600),
file('theBenchmark.p',ord_v0_v600) ).
fof(distinct,axiom,
v0 != v600,
file('theBenchmark.p',distinct) ).
fof(odrl423,conjecture,
~ ? [X] :
( less(v600,X)
& in_open(X,v0,v600) ),
file('theBenchmark.p',odrl423) ).
fof(f_1_1,plain,
! [X] : ~ less(X,X),
inference(fof_nnf,[status(thm)],[irreflexive]) ).
fof(f_1_2,plain,
! [U_0] : ~ less(U_0,U_0),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
~ less(U_0,U_0),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [X,Y,Z] :
( less(X,Z)
| ~ less(Y,Z)
| ~ less(X,Y) ),
inference(fof_nnf,[status(thm)],[transitive]) ).
fof(f_2_2,plain,
! [U_3,U_2,U_1] :
( less(U_3,U_1)
| ~ less(U_2,U_1)
| ~ less(U_3,U_2) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( less(U_3,U_1)
| ~ less(U_2,U_1)
| ~ less(U_3,U_2) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [X,Y] :
( less(Y,X)
| X = Y
| less(X,Y) ),
inference(fof_nnf,[status(thm)],[trichotomy]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( less(U_4,U_5)
| U_5 = U_4
| less(U_5,U_4) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( less(U_4,U_5)
| U_5 = U_4
| less(U_5,U_4) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
! [X,Y] :
( ( leq(X,Y)
| ( X != Y
& ~ less(X,Y) ) )
& ( X = Y
| less(X,Y)
| ~ leq(X,Y) ) ),
inference(fof_nnf,[status(thm)],[leq_def]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( ( leq(U_7,U_6)
| ( U_7 != U_6
& ~ less(U_7,U_6) ) )
& ( U_7 = U_6
| less(U_7,U_6)
| ~ leq(U_7,U_6) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_11,U_9] :
( leq(U_11,U_9)
| ( U_11 != U_9
& ~ less(U_11,U_9) ) )
& ! [U_10,U_8] :
( U_10 = U_8
| less(U_10,U_8)
| ~ leq(U_10,U_8) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
cnf(f_4_4,plain,
( U_10 = U_8
| less(U_10,U_8)
| ~ leq(U_10,U_8) ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_5,plain,
( ~ less(U_11,U_9)
| leq(U_11,U_9) ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_6,plain,
( U_11 != U_9
| leq(U_11,U_9) ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [X,Y] :
( X = Y
| ~ leq(Y,X)
| ~ leq(X,Y) ),
inference(fof_nnf,[status(thm)],[leq_antisym]) ).
fof(f_5_2,plain,
! [U_13,U_12] :
( U_13 = U_12
| ~ leq(U_12,U_13)
| ~ leq(U_13,U_12) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( U_13 = U_12
| ~ leq(U_12,U_13)
| ~ leq(U_13,U_12) ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [X,Y] :
( leq(X,Y)
| ~ less(X,Y) ),
inference(fof_nnf,[status(thm)],[less_implies_leq]) ).
fof(f_6_2,plain,
! [U_15,U_14] :
( leq(U_15,U_14)
| ~ less(U_15,U_14) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( leq(U_15,U_14)
| ~ less(U_15,U_14) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [X,Y,Z] :
( less(X,Z)
| ~ less(Y,Z)
| ~ leq(X,Y) ),
inference(fof_nnf,[status(thm)],[leq_less_trans]) ).
fof(f_7_2,plain,
! [U_18,U_17,U_16] :
( less(U_18,U_16)
| ~ less(U_17,U_16)
| ~ leq(U_18,U_17) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( less(U_18,U_16)
| ~ less(U_17,U_16)
| ~ leq(U_18,U_17) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
! [X,Y,Z] :
( less(X,Z)
| ~ leq(Y,Z)
| ~ less(X,Y) ),
inference(fof_nnf,[status(thm)],[less_leq_trans]) ).
fof(f_8_2,plain,
! [U_21,U_20,U_19] :
( less(U_21,U_19)
| ~ leq(U_20,U_19)
| ~ less(U_21,U_20) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( less(U_21,U_19)
| ~ leq(U_20,U_19)
| ~ less(U_21,U_20) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ leq(Y,Z)
| ~ leq(X,Y) ),
inference(fof_nnf,[status(thm)],[leq_trans]) ).
fof(f_9_2,plain,
! [U_24,U_23,U_22] :
( leq(U_24,U_22)
| ~ leq(U_23,U_22)
| ~ leq(U_24,U_23) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( leq(U_24,U_22)
| ~ leq(U_23,U_22)
| ~ leq(U_24,U_23) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_1,plain,
! [X,A,B] :
( ( in_closed(X,A,B)
| ~ leq(X,B)
| ~ leq(A,X) )
& ( ( leq(X,B)
& leq(A,X) )
| ~ in_closed(X,A,B) ) ),
inference(fof_nnf,[status(thm)],[in_closed]) ).
fof(f_10_2,plain,
! [U_27,U_26,U_25] :
( ( in_closed(U_27,U_26,U_25)
| ~ leq(U_27,U_25)
| ~ leq(U_26,U_27) )
& ( ( leq(U_27,U_25)
& leq(U_26,U_27) )
| ~ in_closed(U_27,U_26,U_25) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_33,U_31,U_29] :
( in_closed(U_33,U_31,U_29)
| ~ leq(U_33,U_29)
| ~ leq(U_31,U_33) )
& ! [U_32,U_30,U_28] :
( ( leq(U_32,U_28)
& leq(U_30,U_32) )
| ~ in_closed(U_32,U_30,U_28) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( leq(U_30,U_32)
| ~ in_closed(U_32,U_30,U_28) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_5,plain,
( leq(U_32,U_28)
| ~ in_closed(U_32,U_30,U_28) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_6,plain,
( in_closed(U_33,U_31,U_29)
| ~ leq(U_33,U_29)
| ~ leq(U_31,U_33) ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [X,A,B] :
( ( in_lopen(X,A,B)
| ~ leq(X,B)
| ~ less(A,X) )
& ( ( leq(X,B)
& less(A,X) )
| ~ in_lopen(X,A,B) ) ),
inference(fof_nnf,[status(thm)],[in_lopen]) ).
fof(f_11_2,plain,
! [U_36,U_35,U_34] :
( ( in_lopen(U_36,U_35,U_34)
| ~ leq(U_36,U_34)
| ~ less(U_35,U_36) )
& ( ( leq(U_36,U_34)
& less(U_35,U_36) )
| ~ in_lopen(U_36,U_35,U_34) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_42,U_40,U_38] :
( in_lopen(U_42,U_40,U_38)
| ~ leq(U_42,U_38)
| ~ less(U_40,U_42) )
& ! [U_41,U_39,U_37] :
( ( leq(U_41,U_37)
& less(U_39,U_41) )
| ~ in_lopen(U_41,U_39,U_37) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
cnf(f_11_4,plain,
( less(U_39,U_41)
| ~ in_lopen(U_41,U_39,U_37) ),
inference(clausify,[status(thm)],[f_11_3]) ).
cnf(f_11_5,plain,
( leq(U_41,U_37)
| ~ in_lopen(U_41,U_39,U_37) ),
inference(clausify,[status(thm)],[f_11_3]) ).
cnf(f_11_6,plain,
( in_lopen(U_42,U_40,U_38)
| ~ leq(U_42,U_38)
| ~ less(U_40,U_42) ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
! [X,A,B] :
( ( in_ropen(X,A,B)
| ~ less(X,B)
| ~ leq(A,X) )
& ( ( less(X,B)
& leq(A,X) )
| ~ in_ropen(X,A,B) ) ),
inference(fof_nnf,[status(thm)],[in_ropen]) ).
fof(f_12_2,plain,
! [U_45,U_44,U_43] :
( ( in_ropen(U_45,U_44,U_43)
| ~ less(U_45,U_43)
| ~ leq(U_44,U_45) )
& ( ( less(U_45,U_43)
& leq(U_44,U_45) )
| ~ in_ropen(U_45,U_44,U_43) ) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
( ! [U_51,U_49,U_47] :
( in_ropen(U_51,U_49,U_47)
| ~ less(U_51,U_47)
| ~ leq(U_49,U_51) )
& ! [U_50,U_48,U_46] :
( ( less(U_50,U_46)
& leq(U_48,U_50) )
| ~ in_ropen(U_50,U_48,U_46) ) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
cnf(f_12_4,plain,
( leq(U_48,U_50)
| ~ in_ropen(U_50,U_48,U_46) ),
inference(clausify,[status(thm)],[f_12_3]) ).
cnf(f_12_5,plain,
( less(U_50,U_46)
| ~ in_ropen(U_50,U_48,U_46) ),
inference(clausify,[status(thm)],[f_12_3]) ).
cnf(f_12_6,plain,
( in_ropen(U_51,U_49,U_47)
| ~ less(U_51,U_47)
| ~ leq(U_49,U_51) ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
! [X,A,B] :
( ( in_open(X,A,B)
| ~ less(X,B)
| ~ less(A,X) )
& ( ( less(X,B)
& less(A,X) )
| ~ in_open(X,A,B) ) ),
inference(fof_nnf,[status(thm)],[in_open]) ).
fof(f_13_2,plain,
! [U_54,U_53,U_52] :
( ( in_open(U_54,U_53,U_52)
| ~ less(U_54,U_52)
| ~ less(U_53,U_54) )
& ( ( less(U_54,U_52)
& less(U_53,U_54) )
| ~ in_open(U_54,U_53,U_52) ) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_60,U_58,U_56] :
( in_open(U_60,U_58,U_56)
| ~ less(U_60,U_56)
| ~ less(U_58,U_60) )
& ! [U_59,U_57,U_55] :
( ( less(U_59,U_55)
& less(U_57,U_59) )
| ~ in_open(U_59,U_57,U_55) ) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
( less(U_57,U_59)
| ~ in_open(U_59,U_57,U_55) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_5,plain,
( less(U_59,U_55)
| ~ in_open(U_59,U_57,U_55) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_6,plain,
( in_open(U_60,U_58,U_56)
| ~ less(U_60,U_56)
| ~ less(U_58,U_60) ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [I1lo,I1hi,I2lo,I2hi] :
( ( axis_conflict(I1lo,I1hi,I2lo,I2hi)
| ? [X] :
( in_closed(X,I2lo,I2hi)
& in_closed(X,I1lo,I1hi) ) )
& ( ! [X] :
( ~ in_closed(X,I2lo,I2hi)
| ~ in_closed(X,I1lo,I1hi) )
| ~ axis_conflict(I1lo,I1hi,I2lo,I2hi) ) ),
inference(fof_nnf,[status(thm)],[axis_conflict_def]) ).
fof(f_14_2,plain,
! [U_66,U_65,U_64,U_63] :
( ( axis_conflict(U_66,U_65,U_64,U_63)
| ? [U_62] :
( in_closed(U_62,U_64,U_63)
& in_closed(U_62,U_66,U_65) ) )
& ( ! [U_61] :
( ~ in_closed(U_61,U_64,U_63)
| ~ in_closed(U_61,U_66,U_65) )
| ~ axis_conflict(U_66,U_65,U_64,U_63) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_74,U_72,U_70,U_68] :
( axis_conflict(U_74,U_72,U_70,U_68)
| ? [U_62] :
( in_closed(U_62,U_70,U_68)
& in_closed(U_62,U_74,U_72) ) )
& ! [U_73,U_71,U_69,U_67] :
( ! [U_61] :
( ~ in_closed(U_61,U_69,U_67)
| ~ in_closed(U_61,U_73,U_71) )
| ~ axis_conflict(U_73,U_71,U_69,U_67) ) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
fof(f_14_4,plain,
( ! [U_74,U_72,U_70,U_68] :
( axis_conflict(U_74,U_72,U_70,U_68)
| ( in_closed(sK1(U_74,U_72,U_70,U_68),U_70,U_68)
& in_closed(sK1(U_74,U_72,U_70,U_68),U_74,U_72) ) )
& ! [U_73,U_71,U_69,U_67] :
( ! [U_61] :
( ~ in_closed(U_61,U_69,U_67)
| ~ in_closed(U_61,U_73,U_71) )
| ~ axis_conflict(U_73,U_71,U_69,U_67) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_62,sK1(U_74,U_72,U_70,U_68))],[f_14_3]) ).
cnf(f_14_5,plain,
( ~ in_closed(U_61,U_69,U_67)
| ~ in_closed(U_61,U_73,U_71)
| ~ axis_conflict(U_73,U_71,U_69,U_67) ),
inference(clausify,[status(thm)],[f_14_4]) ).
cnf(f_14_6,plain,
( in_closed(sK1(U_74,U_72,U_70,U_68),U_74,U_72)
| axis_conflict(U_74,U_72,U_70,U_68) ),
inference(clausify,[status(thm)],[f_14_4]) ).
cnf(f_14_7,plain,
( in_closed(sK1(U_74,U_72,U_70,U_68),U_70,U_68)
| axis_conflict(U_74,U_72,U_70,U_68) ),
inference(clausify,[status(thm)],[f_14_4]) ).
fof(f_15_1,plain,
! [I1lo,I1hi,I2lo,I2hi] :
( ( axis_compatible(I1lo,I1hi,I2lo,I2hi)
| ! [X] :
( ~ in_closed(X,I2lo,I2hi)
| ~ in_closed(X,I1lo,I1hi) ) )
& ( ? [X] :
( in_closed(X,I2lo,I2hi)
& in_closed(X,I1lo,I1hi) )
| ~ axis_compatible(I1lo,I1hi,I2lo,I2hi) ) ),
inference(fof_nnf,[status(thm)],[axis_compatible_def]) ).
fof(f_15_2,plain,
! [U_80,U_79,U_78,U_77] :
( ( axis_compatible(U_80,U_79,U_78,U_77)
| ! [U_76] :
( ~ in_closed(U_76,U_78,U_77)
| ~ in_closed(U_76,U_80,U_79) ) )
& ( ? [U_75] :
( in_closed(U_75,U_78,U_77)
& in_closed(U_75,U_80,U_79) )
| ~ axis_compatible(U_80,U_79,U_78,U_77) ) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_88,U_86,U_84,U_82] :
( axis_compatible(U_88,U_86,U_84,U_82)
| ! [U_76] :
( ~ in_closed(U_76,U_84,U_82)
| ~ in_closed(U_76,U_88,U_86) ) )
& ! [U_87,U_85,U_83,U_81] :
( ? [U_75] :
( in_closed(U_75,U_83,U_81)
& in_closed(U_75,U_87,U_85) )
| ~ axis_compatible(U_87,U_85,U_83,U_81) ) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
( ! [U_88,U_86,U_84,U_82] :
( axis_compatible(U_88,U_86,U_84,U_82)
| ! [U_76] :
( ~ in_closed(U_76,U_84,U_82)
| ~ in_closed(U_76,U_88,U_86) ) )
& ! [U_87,U_85,U_83,U_81] :
( ( in_closed(sK2(U_87,U_85,U_83,U_81),U_83,U_81)
& in_closed(sK2(U_87,U_85,U_83,U_81),U_87,U_85) )
| ~ axis_compatible(U_87,U_85,U_83,U_81) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_75,sK2(U_87,U_85,U_83,U_81))],[f_15_3]) ).
cnf(f_15_5,plain,
( in_closed(sK2(U_87,U_85,U_83,U_81),U_87,U_85)
| ~ axis_compatible(U_87,U_85,U_83,U_81) ),
inference(clausify,[status(thm)],[f_15_4]) ).
cnf(f_15_6,plain,
( in_closed(sK2(U_87,U_85,U_83,U_81),U_83,U_81)
| ~ axis_compatible(U_87,U_85,U_83,U_81) ),
inference(clausify,[status(thm)],[f_15_4]) ).
cnf(f_15_7,plain,
( axis_compatible(U_88,U_86,U_84,U_82)
| ~ in_closed(U_76,U_84,U_82)
| ~ in_closed(U_76,U_88,U_86) ),
inference(clausify,[status(thm)],[f_15_4]) ).
fof(f_16_1,plain,
! [I1lo,I1hi,I2lo,I2hi] :
( ( axis_subsumes(I1lo,I1hi,I2lo,I2hi)
| ? [X] :
( ~ in_closed(X,I2lo,I2hi)
& in_closed(X,I1lo,I1hi) ) )
& ( ! [X] :
( in_closed(X,I2lo,I2hi)
| ~ in_closed(X,I1lo,I1hi) )
| ~ axis_subsumes(I1lo,I1hi,I2lo,I2hi) ) ),
inference(fof_nnf,[status(thm)],[axis_subsumes_def]) ).
fof(f_16_2,plain,
! [U_94,U_93,U_92,U_91] :
( ( axis_subsumes(U_94,U_93,U_92,U_91)
| ? [U_90] :
( ~ in_closed(U_90,U_92,U_91)
& in_closed(U_90,U_94,U_93) ) )
& ( ! [U_89] :
( in_closed(U_89,U_92,U_91)
| ~ in_closed(U_89,U_94,U_93) )
| ~ axis_subsumes(U_94,U_93,U_92,U_91) ) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
( ! [U_102,U_100,U_98,U_96] :
( axis_subsumes(U_102,U_100,U_98,U_96)
| ? [U_90] :
( ~ in_closed(U_90,U_98,U_96)
& in_closed(U_90,U_102,U_100) ) )
& ! [U_101,U_99,U_97,U_95] :
( ! [U_89] :
( in_closed(U_89,U_97,U_95)
| ~ in_closed(U_89,U_101,U_99) )
| ~ axis_subsumes(U_101,U_99,U_97,U_95) ) ),
inference(miniscope,[status(thm)],[f_16_2]) ).
fof(f_16_4,plain,
( ! [U_102,U_100,U_98,U_96] :
( axis_subsumes(U_102,U_100,U_98,U_96)
| ( ~ in_closed(sK3(U_102,U_100,U_98,U_96),U_98,U_96)
& in_closed(sK3(U_102,U_100,U_98,U_96),U_102,U_100) ) )
& ! [U_101,U_99,U_97,U_95] :
( ! [U_89] :
( in_closed(U_89,U_97,U_95)
| ~ in_closed(U_89,U_101,U_99) )
| ~ axis_subsumes(U_101,U_99,U_97,U_95) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_90,sK3(U_102,U_100,U_98,U_96))],[f_16_3]) ).
cnf(f_16_5,plain,
( in_closed(U_89,U_97,U_95)
| ~ in_closed(U_89,U_101,U_99)
| ~ axis_subsumes(U_101,U_99,U_97,U_95) ),
inference(clausify,[status(thm)],[f_16_4]) ).
cnf(f_16_6,plain,
( in_closed(sK3(U_102,U_100,U_98,U_96),U_102,U_100)
| axis_subsumes(U_102,U_100,U_98,U_96) ),
inference(clausify,[status(thm)],[f_16_4]) ).
cnf(f_16_7,plain,
( ~ in_closed(sK3(U_102,U_100,U_98,U_96),U_98,U_96)
| axis_subsumes(U_102,U_100,U_98,U_96) ),
inference(clausify,[status(thm)],[f_16_4]) ).
fof(f_17_1,plain,
is_verdict(conflict),
inference(fof_nnf,[status(thm)],[conflict_is_verdict]) ).
cnf(f_17_2,plain,
is_verdict(conflict),
inference(clausify,[status(thm)],[f_17_1]) ).
fof(f_18_1,plain,
is_verdict(compatible),
inference(fof_nnf,[status(thm)],[compatible_is_verdict]) ).
cnf(f_18_2,plain,
is_verdict(compatible),
inference(clausify,[status(thm)],[f_18_1]) ).
fof(f_19_1,plain,
is_verdict(unknown),
inference(fof_nnf,[status(thm)],[unknown_is_verdict]) ).
cnf(f_19_2,plain,
is_verdict(unknown),
inference(clausify,[status(thm)],[f_19_1]) ).
fof(f_20_1,plain,
conflict != compatible,
inference(fof_nnf,[status(thm)],[verdicts_distinct_cf_cp]) ).
cnf(f_20_2,plain,
conflict != compatible,
inference(clausify,[status(thm)],[f_20_1]) ).
fof(f_21_1,plain,
conflict != unknown,
inference(fof_nnf,[status(thm)],[verdicts_distinct_cf_un]) ).
cnf(f_21_2,plain,
conflict != unknown,
inference(clausify,[status(thm)],[f_21_1]) ).
fof(f_22_1,plain,
compatible != unknown,
inference(fof_nnf,[status(thm)],[verdicts_distinct_cp_un]) ).
cnf(f_22_2,plain,
compatible != unknown,
inference(clausify,[status(thm)],[f_22_1]) ).
fof(f_23_1,plain,
! [V] :
( V = unknown
| V = compatible
| V = conflict
| ~ is_verdict(V) ),
inference(fof_nnf,[status(thm)],[verdict_enum]) ).
fof(f_23_2,plain,
! [U_103] :
( U_103 = unknown
| U_103 = compatible
| U_103 = conflict
| ~ is_verdict(U_103) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
cnf(f_23_3,plain,
( U_103 = unknown
| U_103 = compatible
| U_103 = conflict
| ~ is_verdict(U_103) ),
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_1,plain,
! [V1,V2] :
( box_verdict(V1,V2) = conflict
| ( V2 != conflict
& V1 != conflict )
| ~ is_verdict(V2)
| ~ is_verdict(V1) ),
inference(fof_nnf,[status(thm)],[box_conflict]) ).
fof(f_24_2,plain,
! [U_105,U_104] :
( box_verdict(U_105,U_104) = conflict
| ( U_104 != conflict
& U_105 != conflict )
| ~ is_verdict(U_104)
| ~ is_verdict(U_105) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( U_105 != conflict
| ~ is_verdict(U_104)
| ~ is_verdict(U_105)
| box_verdict(U_105,U_104) = conflict ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_4,plain,
( U_104 != conflict
| ~ is_verdict(U_104)
| ~ is_verdict(U_105)
| box_verdict(U_105,U_104) = conflict ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,plain,
! [V1,V2] :
( box_verdict(V1,V2) = compatible
| V2 != compatible
| V1 != compatible
| ~ is_verdict(V2)
| ~ is_verdict(V1) ),
inference(fof_nnf,[status(thm)],[box_compatible]) ).
fof(f_25_2,plain,
! [U_107,U_106] :
( box_verdict(U_107,U_106) = compatible
| U_106 != compatible
| U_107 != compatible
| ~ is_verdict(U_106)
| ~ is_verdict(U_107) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
cnf(f_25_3,plain,
( box_verdict(U_107,U_106) = compatible
| U_106 != compatible
| U_107 != compatible
| ~ is_verdict(U_106)
| ~ is_verdict(U_107) ),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_1,plain,
! [V1,V2] :
( box_verdict(V1,V2) = unknown
| V2 = conflict
| V1 = conflict
| ( V2 != unknown
& V1 != unknown )
| ~ is_verdict(V2)
| ~ is_verdict(V1) ),
inference(fof_nnf,[status(thm)],[box_unknown]) ).
fof(f_26_2,plain,
! [U_109,U_108] :
( box_verdict(U_109,U_108) = unknown
| U_108 = conflict
| U_109 = conflict
| ( U_108 != unknown
& U_109 != unknown )
| ~ is_verdict(U_108)
| ~ is_verdict(U_109) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
cnf(f_26_3,plain,
( U_109 != unknown
| U_109 = conflict
| U_108 = conflict
| ~ is_verdict(U_108)
| ~ is_verdict(U_109)
| box_verdict(U_109,U_108) = unknown ),
inference(clausify,[status(thm)],[f_26_2]) ).
cnf(f_26_4,plain,
( U_108 != unknown
| U_109 = conflict
| U_108 = conflict
| ~ is_verdict(U_108)
| ~ is_verdict(U_109)
| box_verdict(U_109,U_108) = unknown ),
inference(clausify,[status(thm)],[f_26_2]) ).
fof(f_27_1,plain,
! [V1,V2] :
( box_verdict(V1,V2) = unknown
| box_verdict(V1,V2) = compatible
| box_verdict(V1,V2) = conflict
| ~ is_verdict(V2)
| ~ is_verdict(V1) ),
inference(fof_nnf,[status(thm)],[box_verdict_total]) ).
fof(f_27_2,plain,
! [U_111,U_110] :
( box_verdict(U_111,U_110) = unknown
| box_verdict(U_111,U_110) = compatible
| box_verdict(U_111,U_110) = conflict
| ~ is_verdict(U_110)
| ~ is_verdict(U_111) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_3,plain,
( box_verdict(U_111,U_110) = unknown
| box_verdict(U_111,U_110) = compatible
| box_verdict(U_111,U_110) = conflict
| ~ is_verdict(U_110)
| ~ is_verdict(U_111) ),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_1,plain,
val(v0),
inference(fof_nnf,[status(thm)],[val_v0]) ).
cnf(f_28_2,plain,
val(v0),
inference(clausify,[status(thm)],[f_28_1]) ).
fof(f_29_1,plain,
val(v600),
inference(fof_nnf,[status(thm)],[val_v600]) ).
cnf(f_29_2,plain,
val(v600),
inference(clausify,[status(thm)],[f_29_1]) ).
fof(f_30_1,plain,
less(v0,v600),
inference(fof_nnf,[status(thm)],[ord_v0_v600]) ).
cnf(f_30_2,plain,
less(v0,v600),
inference(clausify,[status(thm)],[f_30_1]) ).
fof(f_31_1,plain,
v0 != v600,
inference(fof_nnf,[status(thm)],[distinct]) ).
cnf(f_31_2,plain,
v0 != v600,
inference(clausify,[status(thm)],[f_31_1]) ).
fof(f_32_1,negated_conjecture,
? [X] :
( less(v600,X)
& in_open(X,v0,v600) ),
inference(negate,[status(cth)],[odrl423]) ).
fof(f_32_2,negated_conjecture,
? [U_112] :
( less(v600,U_112)
& in_open(U_112,v0,v600) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,negated_conjecture,
( less(v600,sK4)
& in_open(sK4,v0,v600) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_112,sK4)],[f_32_2]) ).
fof(f_32_4,negated_conjecture,
( less(v600,sK4)
& in_open(sK4,v0,v600) ),
inference(definitional_conversion,[status(esa)],[f_32_3]) ).
cnf(f_32_5,negated_conjecture,
in_open(sK4,v0,v600),
inference(clausify,[status(thm)],[f_32_4]) ).
cnf(f_32_6,negated_conjecture,
less(v600,sK4),
inference(clausify,[status(thm)],[f_32_4]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( box_verdict(Eq_x_0,Eq_x_1) = box_verdict(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( sK1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( sK2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( sK3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( less(Eq_y_0,Eq_y_1)
| ~ less(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_9,axiom,
( leq(Eq_y_0,Eq_y_1)
| ~ leq(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_10,axiom,
( in_closed(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ in_closed(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( in_lopen(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ in_lopen(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( in_ropen(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ in_ropen(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( in_open(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ in_open(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( axis_conflict(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ axis_conflict(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( axis_compatible(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ axis_compatible(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( axis_subsumes(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ axis_subsumes(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,axiom,
( is_verdict(Eq_y_0)
| ~ is_verdict(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,axiom,
( val(Eq_y_0)
| ~ val(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT083+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 19 16:24:38 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.15/0.42 % SZS status Theorem for theBenchmark
% 0.15/0.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------