%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT093+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 08:50:51 AM UTC 2026
% Result : Theorem 0.22s 0.51s
% Output : Proof 0.22s
% 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(or_compat,axiom,
! [V1,V2] :
( ( ( V2 = compatible
| V1 = compatible )
& is_verdict(V2)
& is_verdict(V1) )
=> or_verdict(V1,V2) = compatible ),
file('MGT002+3.ax',or_compat) ).
fof(or_conflict,axiom,
! [V1,V2] :
( ( V2 = conflict
& V1 = conflict
& is_verdict(V2)
& is_verdict(V1) )
=> or_verdict(V1,V2) = conflict ),
file('MGT002+3.ax',or_conflict) ).
fof(or_unknown,axiom,
! [V1,V2] :
( ( ~ ( V2 = conflict
& V1 = conflict )
& V2 != compatible
& V1 != compatible
& is_verdict(V2)
& is_verdict(V1) )
=> or_verdict(V1,V2) = unknown ),
file('MGT002+3.ax',or_unknown) ).
fof(or_verdict_total,axiom,
! [V1,V2] :
( ( is_verdict(V2)
& is_verdict(V1) )
=> ( or_verdict(V1,V2) = unknown
| or_verdict(V1,V2) = conflict
| or_verdict(V1,V2) = compatible ) ),
file('MGT002+3.ax',or_verdict_total) ).
fof(xone_compat,axiom,
! [Vm,Vr] :
( ( Vr = conflict
& Vm = compatible
& is_verdict(Vr)
& is_verdict(Vm) )
=> xone_verdict(Vm,Vr) = compatible ),
file('MGT002+3.ax',xone_compat) ).
fof(xone_conflict,axiom,
! [Vm,Vr] :
( ( Vr = conflict
& Vm = conflict
& is_verdict(Vr)
& is_verdict(Vm) )
=> xone_verdict(Vm,Vr) = conflict ),
file('MGT002+3.ax',xone_conflict) ).
fof(xone_unknown,axiom,
! [Vm,Vr] :
( ( ~ ( Vr = conflict
& Vm = conflict )
& ~ ( Vr = conflict
& Vm = compatible )
& is_verdict(Vr)
& is_verdict(Vm) )
=> xone_verdict(Vm,Vr) = unknown ),
file('MGT002+3.ax',xone_unknown) ).
fof(xone_verdict_total,axiom,
! [Vm,Vr] :
( ( is_verdict(Vr)
& is_verdict(Vm) )
=> ( xone_verdict(Vm,Vr) = unknown
| xone_verdict(Vm,Vr) = conflict
| xone_verdict(Vm,Vr) = compatible ) ),
file('MGT002+3.ax',xone_verdict_total) ).
fof(or_sound_2branch,axiom,
! [A1lo,A1hi,A2lo,A2hi,B1lo,B1hi,B2lo,B2hi] :
( ( axis_conflict(A2lo,A2hi,B2lo,B2hi)
& axis_conflict(A2lo,A2hi,B1lo,B1hi)
& axis_conflict(A1lo,A1hi,B2lo,B2hi)
& axis_conflict(A1lo,A1hi,B1lo,B1hi) )
=> ~ ? [X] :
( ( in_closed(X,B2lo,B2hi)
| in_closed(X,B1lo,B1hi) )
& ( in_closed(X,A2lo,A2hi)
| in_closed(X,A1lo,A1hi) ) ) ),
file('MGT002+3.ax',or_sound_2branch) ).
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(odrl644,conjecture,
xone_verdict(compatible,conflict) = compatible,
file('theBenchmark.p',odrl644) ).
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,
! [V1,V2] :
( or_verdict(V1,V2) = compatible
| ( V2 != compatible
& V1 != compatible )
| ~ is_verdict(V2)
| ~ is_verdict(V1) ),
inference(fof_nnf,[status(thm)],[or_compat]) ).
fof(f_10_2,plain,
! [U_26,U_25] :
( or_verdict(U_26,U_25) = compatible
| ( U_25 != compatible
& U_26 != compatible )
| ~ is_verdict(U_25)
| ~ is_verdict(U_26) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
( U_26 != compatible
| ~ is_verdict(U_25)
| ~ is_verdict(U_26)
| or_verdict(U_26,U_25) = compatible ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( U_25 != compatible
| ~ is_verdict(U_25)
| ~ is_verdict(U_26)
| or_verdict(U_26,U_25) = compatible ),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_1,plain,
! [V1,V2] :
( or_verdict(V1,V2) = conflict
| V2 != conflict
| V1 != conflict
| ~ is_verdict(V2)
| ~ is_verdict(V1) ),
inference(fof_nnf,[status(thm)],[or_conflict]) ).
fof(f_11_2,plain,
! [U_28,U_27] :
( or_verdict(U_28,U_27) = conflict
| U_27 != conflict
| U_28 != conflict
| ~ is_verdict(U_27)
| ~ is_verdict(U_28) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( or_verdict(U_28,U_27) = conflict
| U_27 != conflict
| U_28 != conflict
| ~ is_verdict(U_27)
| ~ is_verdict(U_28) ),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,plain,
! [V1,V2] :
( or_verdict(V1,V2) = unknown
| ( V2 = conflict
& V1 = conflict )
| V2 = compatible
| V1 = compatible
| ~ is_verdict(V2)
| ~ is_verdict(V1) ),
inference(fof_nnf,[status(thm)],[or_unknown]) ).
fof(f_12_2,plain,
! [U_30,U_29] :
( or_verdict(U_30,U_29) = unknown
| ( U_29 = conflict
& U_30 = conflict )
| U_29 = compatible
| U_30 = compatible
| ~ is_verdict(U_29)
| ~ is_verdict(U_30) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( U_30 = conflict
| U_29 = compatible
| U_30 = compatible
| ~ is_verdict(U_29)
| ~ is_verdict(U_30)
| or_verdict(U_30,U_29) = unknown ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_4,plain,
( U_29 = conflict
| U_29 = compatible
| U_30 = compatible
| ~ is_verdict(U_29)
| ~ is_verdict(U_30)
| or_verdict(U_30,U_29) = unknown ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
! [V1,V2] :
( or_verdict(V1,V2) = unknown
| or_verdict(V1,V2) = conflict
| or_verdict(V1,V2) = compatible
| ~ is_verdict(V2)
| ~ is_verdict(V1) ),
inference(fof_nnf,[status(thm)],[or_verdict_total]) ).
fof(f_13_2,plain,
! [U_32,U_31] :
( or_verdict(U_32,U_31) = unknown
| or_verdict(U_32,U_31) = conflict
| or_verdict(U_32,U_31) = compatible
| ~ is_verdict(U_31)
| ~ is_verdict(U_32) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
( or_verdict(U_32,U_31) = unknown
| or_verdict(U_32,U_31) = conflict
| or_verdict(U_32,U_31) = compatible
| ~ is_verdict(U_31)
| ~ is_verdict(U_32) ),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_1,plain,
! [Vm,Vr] :
( xone_verdict(Vm,Vr) = compatible
| Vr != conflict
| Vm != compatible
| ~ is_verdict(Vr)
| ~ is_verdict(Vm) ),
inference(fof_nnf,[status(thm)],[xone_compat]) ).
fof(f_14_2,plain,
! [U_34,U_33] :
( xone_verdict(U_34,U_33) = compatible
| U_33 != conflict
| U_34 != compatible
| ~ is_verdict(U_33)
| ~ is_verdict(U_34) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( xone_verdict(U_34,U_33) = compatible
| U_33 != conflict
| U_34 != compatible
| ~ is_verdict(U_33)
| ~ is_verdict(U_34) ),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,plain,
! [Vm,Vr] :
( xone_verdict(Vm,Vr) = conflict
| Vr != conflict
| Vm != conflict
| ~ is_verdict(Vr)
| ~ is_verdict(Vm) ),
inference(fof_nnf,[status(thm)],[xone_conflict]) ).
fof(f_15_2,plain,
! [U_36,U_35] :
( xone_verdict(U_36,U_35) = conflict
| U_35 != conflict
| U_36 != conflict
| ~ is_verdict(U_35)
| ~ is_verdict(U_36) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
cnf(f_15_3,plain,
( xone_verdict(U_36,U_35) = conflict
| U_35 != conflict
| U_36 != conflict
| ~ is_verdict(U_35)
| ~ is_verdict(U_36) ),
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_16_1,plain,
! [Vm,Vr] :
( xone_verdict(Vm,Vr) = unknown
| ( Vr = conflict
& Vm = conflict )
| ( Vr = conflict
& Vm = compatible )
| ~ is_verdict(Vr)
| ~ is_verdict(Vm) ),
inference(fof_nnf,[status(thm)],[xone_unknown]) ).
fof(f_16_2,plain,
! [U_38,U_37] :
( xone_verdict(U_38,U_37) = unknown
| ( U_37 = conflict
& U_38 = conflict )
| ( U_37 = conflict
& U_38 = compatible )
| ~ is_verdict(U_37)
| ~ is_verdict(U_38) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( U_38 = conflict
| U_38 = compatible
| ~ is_verdict(U_37)
| ~ is_verdict(U_38)
| xone_verdict(U_38,U_37) = unknown ),
inference(clausify,[status(thm)],[f_16_2]) ).
cnf(f_16_4,plain,
( U_37 = conflict
| U_38 = compatible
| ~ is_verdict(U_37)
| ~ is_verdict(U_38)
| xone_verdict(U_38,U_37) = unknown ),
inference(clausify,[status(thm)],[f_16_2]) ).
cnf(f_16_5,plain,
( U_38 = conflict
| U_37 = conflict
| ~ is_verdict(U_37)
| ~ is_verdict(U_38)
| xone_verdict(U_38,U_37) = unknown ),
inference(clausify,[status(thm)],[f_16_2]) ).
cnf(f_16_6,plain,
( U_37 = conflict
| U_37 = conflict
| ~ is_verdict(U_37)
| ~ is_verdict(U_38)
| xone_verdict(U_38,U_37) = unknown ),
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_1,plain,
! [Vm,Vr] :
( xone_verdict(Vm,Vr) = unknown
| xone_verdict(Vm,Vr) = conflict
| xone_verdict(Vm,Vr) = compatible
| ~ is_verdict(Vr)
| ~ is_verdict(Vm) ),
inference(fof_nnf,[status(thm)],[xone_verdict_total]) ).
fof(f_17_2,plain,
! [U_40,U_39] :
( xone_verdict(U_40,U_39) = unknown
| xone_verdict(U_40,U_39) = conflict
| xone_verdict(U_40,U_39) = compatible
| ~ is_verdict(U_39)
| ~ is_verdict(U_40) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( xone_verdict(U_40,U_39) = unknown
| xone_verdict(U_40,U_39) = conflict
| xone_verdict(U_40,U_39) = compatible
| ~ is_verdict(U_39)
| ~ is_verdict(U_40) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
! [A1lo,A1hi,A2lo,A2hi,B1lo,B1hi,B2lo,B2hi] :
( ! [X] :
( ( ~ in_closed(X,B2lo,B2hi)
& ~ in_closed(X,B1lo,B1hi) )
| ( ~ in_closed(X,A2lo,A2hi)
& ~ in_closed(X,A1lo,A1hi) ) )
| ~ axis_conflict(A2lo,A2hi,B2lo,B2hi)
| ~ axis_conflict(A2lo,A2hi,B1lo,B1hi)
| ~ axis_conflict(A1lo,A1hi,B2lo,B2hi)
| ~ axis_conflict(A1lo,A1hi,B1lo,B1hi) ),
inference(fof_nnf,[status(thm)],[or_sound_2branch]) ).
fof(f_18_2,plain,
! [U_49,U_48,U_47,U_46,U_45,U_44,U_43,U_42] :
( ! [U_41] :
( ( ~ in_closed(U_41,U_43,U_42)
& ~ in_closed(U_41,U_45,U_44) )
| ( ~ in_closed(U_41,U_47,U_46)
& ~ in_closed(U_41,U_49,U_48) ) )
| ~ axis_conflict(U_47,U_46,U_43,U_42)
| ~ axis_conflict(U_47,U_46,U_45,U_44)
| ~ axis_conflict(U_49,U_48,U_43,U_42)
| ~ axis_conflict(U_49,U_48,U_45,U_44) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
( ~ in_closed(U_41,U_45,U_44)
| ~ in_closed(U_41,U_49,U_48)
| ~ axis_conflict(U_47,U_46,U_43,U_42)
| ~ axis_conflict(U_47,U_46,U_45,U_44)
| ~ axis_conflict(U_49,U_48,U_43,U_42)
| ~ axis_conflict(U_49,U_48,U_45,U_44) ),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(f_18_4,plain,
( ~ in_closed(U_41,U_43,U_42)
| ~ in_closed(U_41,U_49,U_48)
| ~ axis_conflict(U_47,U_46,U_43,U_42)
| ~ axis_conflict(U_47,U_46,U_45,U_44)
| ~ axis_conflict(U_49,U_48,U_43,U_42)
| ~ axis_conflict(U_49,U_48,U_45,U_44) ),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(f_18_5,plain,
( ~ in_closed(U_41,U_45,U_44)
| ~ in_closed(U_41,U_47,U_46)
| ~ axis_conflict(U_47,U_46,U_43,U_42)
| ~ axis_conflict(U_47,U_46,U_45,U_44)
| ~ axis_conflict(U_49,U_48,U_43,U_42)
| ~ axis_conflict(U_49,U_48,U_45,U_44) ),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(f_18_6,plain,
( ~ in_closed(U_41,U_43,U_42)
| ~ in_closed(U_41,U_47,U_46)
| ~ axis_conflict(U_47,U_46,U_43,U_42)
| ~ axis_conflict(U_47,U_46,U_45,U_44)
| ~ axis_conflict(U_49,U_48,U_43,U_42)
| ~ axis_conflict(U_49,U_48,U_45,U_44) ),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_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_19_2,plain,
! [U_52,U_51,U_50] :
( ( in_closed(U_52,U_51,U_50)
| ~ leq(U_52,U_50)
| ~ leq(U_51,U_52) )
& ( ( leq(U_52,U_50)
& leq(U_51,U_52) )
| ~ in_closed(U_52,U_51,U_50) ) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
( ! [U_58,U_56,U_54] :
( in_closed(U_58,U_56,U_54)
| ~ leq(U_58,U_54)
| ~ leq(U_56,U_58) )
& ! [U_57,U_55,U_53] :
( ( leq(U_57,U_53)
& leq(U_55,U_57) )
| ~ in_closed(U_57,U_55,U_53) ) ),
inference(miniscope,[status(thm)],[f_19_2]) ).
cnf(f_19_4,plain,
( leq(U_55,U_57)
| ~ in_closed(U_57,U_55,U_53) ),
inference(clausify,[status(thm)],[f_19_3]) ).
cnf(f_19_5,plain,
( leq(U_57,U_53)
| ~ in_closed(U_57,U_55,U_53) ),
inference(clausify,[status(thm)],[f_19_3]) ).
cnf(f_19_6,plain,
( in_closed(U_58,U_56,U_54)
| ~ leq(U_58,U_54)
| ~ leq(U_56,U_58) ),
inference(clausify,[status(thm)],[f_19_3]) ).
fof(f_20_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_20_2,plain,
! [U_61,U_60,U_59] :
( ( in_lopen(U_61,U_60,U_59)
| ~ leq(U_61,U_59)
| ~ less(U_60,U_61) )
& ( ( leq(U_61,U_59)
& less(U_60,U_61) )
| ~ in_lopen(U_61,U_60,U_59) ) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
( ! [U_67,U_65,U_63] :
( in_lopen(U_67,U_65,U_63)
| ~ leq(U_67,U_63)
| ~ less(U_65,U_67) )
& ! [U_66,U_64,U_62] :
( ( leq(U_66,U_62)
& less(U_64,U_66) )
| ~ in_lopen(U_66,U_64,U_62) ) ),
inference(miniscope,[status(thm)],[f_20_2]) ).
cnf(f_20_4,plain,
( less(U_64,U_66)
| ~ in_lopen(U_66,U_64,U_62) ),
inference(clausify,[status(thm)],[f_20_3]) ).
cnf(f_20_5,plain,
( leq(U_66,U_62)
| ~ in_lopen(U_66,U_64,U_62) ),
inference(clausify,[status(thm)],[f_20_3]) ).
cnf(f_20_6,plain,
( in_lopen(U_67,U_65,U_63)
| ~ leq(U_67,U_63)
| ~ less(U_65,U_67) ),
inference(clausify,[status(thm)],[f_20_3]) ).
fof(f_21_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_21_2,plain,
! [U_70,U_69,U_68] :
( ( in_ropen(U_70,U_69,U_68)
| ~ less(U_70,U_68)
| ~ leq(U_69,U_70) )
& ( ( less(U_70,U_68)
& leq(U_69,U_70) )
| ~ in_ropen(U_70,U_69,U_68) ) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
( ! [U_76,U_74,U_72] :
( in_ropen(U_76,U_74,U_72)
| ~ less(U_76,U_72)
| ~ leq(U_74,U_76) )
& ! [U_75,U_73,U_71] :
( ( less(U_75,U_71)
& leq(U_73,U_75) )
| ~ in_ropen(U_75,U_73,U_71) ) ),
inference(miniscope,[status(thm)],[f_21_2]) ).
cnf(f_21_4,plain,
( leq(U_73,U_75)
| ~ in_ropen(U_75,U_73,U_71) ),
inference(clausify,[status(thm)],[f_21_3]) ).
cnf(f_21_5,plain,
( less(U_75,U_71)
| ~ in_ropen(U_75,U_73,U_71) ),
inference(clausify,[status(thm)],[f_21_3]) ).
cnf(f_21_6,plain,
( in_ropen(U_76,U_74,U_72)
| ~ less(U_76,U_72)
| ~ leq(U_74,U_76) ),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_22_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_22_2,plain,
! [U_79,U_78,U_77] :
( ( in_open(U_79,U_78,U_77)
| ~ less(U_79,U_77)
| ~ less(U_78,U_79) )
& ( ( less(U_79,U_77)
& less(U_78,U_79) )
| ~ in_open(U_79,U_78,U_77) ) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
( ! [U_85,U_83,U_81] :
( in_open(U_85,U_83,U_81)
| ~ less(U_85,U_81)
| ~ less(U_83,U_85) )
& ! [U_84,U_82,U_80] :
( ( less(U_84,U_80)
& less(U_82,U_84) )
| ~ in_open(U_84,U_82,U_80) ) ),
inference(miniscope,[status(thm)],[f_22_2]) ).
cnf(f_22_4,plain,
( less(U_82,U_84)
| ~ in_open(U_84,U_82,U_80) ),
inference(clausify,[status(thm)],[f_22_3]) ).
cnf(f_22_5,plain,
( less(U_84,U_80)
| ~ in_open(U_84,U_82,U_80) ),
inference(clausify,[status(thm)],[f_22_3]) ).
cnf(f_22_6,plain,
( in_open(U_85,U_83,U_81)
| ~ less(U_85,U_81)
| ~ less(U_83,U_85) ),
inference(clausify,[status(thm)],[f_22_3]) ).
fof(f_23_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_23_2,plain,
! [U_91,U_90,U_89,U_88] :
( ( axis_conflict(U_91,U_90,U_89,U_88)
| ? [U_87] :
( in_closed(U_87,U_89,U_88)
& in_closed(U_87,U_91,U_90) ) )
& ( ! [U_86] :
( ~ in_closed(U_86,U_89,U_88)
| ~ in_closed(U_86,U_91,U_90) )
| ~ axis_conflict(U_91,U_90,U_89,U_88) ) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
( ! [U_99,U_97,U_95,U_93] :
( axis_conflict(U_99,U_97,U_95,U_93)
| ? [U_87] :
( in_closed(U_87,U_95,U_93)
& in_closed(U_87,U_99,U_97) ) )
& ! [U_98,U_96,U_94,U_92] :
( ! [U_86] :
( ~ in_closed(U_86,U_94,U_92)
| ~ in_closed(U_86,U_98,U_96) )
| ~ axis_conflict(U_98,U_96,U_94,U_92) ) ),
inference(miniscope,[status(thm)],[f_23_2]) ).
fof(f_23_4,plain,
( ! [U_99,U_97,U_95,U_93] :
( axis_conflict(U_99,U_97,U_95,U_93)
| ( in_closed(sK1(U_99,U_97,U_95,U_93),U_95,U_93)
& in_closed(sK1(U_99,U_97,U_95,U_93),U_99,U_97) ) )
& ! [U_98,U_96,U_94,U_92] :
( ! [U_86] :
( ~ in_closed(U_86,U_94,U_92)
| ~ in_closed(U_86,U_98,U_96) )
| ~ axis_conflict(U_98,U_96,U_94,U_92) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_87,sK1(U_99,U_97,U_95,U_93))],[f_23_3]) ).
cnf(f_23_5,plain,
( ~ in_closed(U_86,U_94,U_92)
| ~ in_closed(U_86,U_98,U_96)
| ~ axis_conflict(U_98,U_96,U_94,U_92) ),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(f_23_6,plain,
( in_closed(sK1(U_99,U_97,U_95,U_93),U_99,U_97)
| axis_conflict(U_99,U_97,U_95,U_93) ),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(f_23_7,plain,
( in_closed(sK1(U_99,U_97,U_95,U_93),U_95,U_93)
| axis_conflict(U_99,U_97,U_95,U_93) ),
inference(clausify,[status(thm)],[f_23_4]) ).
fof(f_24_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_24_2,plain,
! [U_105,U_104,U_103,U_102] :
( ( axis_compatible(U_105,U_104,U_103,U_102)
| ! [U_101] :
( ~ in_closed(U_101,U_103,U_102)
| ~ in_closed(U_101,U_105,U_104) ) )
& ( ? [U_100] :
( in_closed(U_100,U_103,U_102)
& in_closed(U_100,U_105,U_104) )
| ~ axis_compatible(U_105,U_104,U_103,U_102) ) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
( ! [U_113,U_111,U_109,U_107] :
( axis_compatible(U_113,U_111,U_109,U_107)
| ! [U_101] :
( ~ in_closed(U_101,U_109,U_107)
| ~ in_closed(U_101,U_113,U_111) ) )
& ! [U_112,U_110,U_108,U_106] :
( ? [U_100] :
( in_closed(U_100,U_108,U_106)
& in_closed(U_100,U_112,U_110) )
| ~ axis_compatible(U_112,U_110,U_108,U_106) ) ),
inference(miniscope,[status(thm)],[f_24_2]) ).
fof(f_24_4,plain,
( ! [U_113,U_111,U_109,U_107] :
( axis_compatible(U_113,U_111,U_109,U_107)
| ! [U_101] :
( ~ in_closed(U_101,U_109,U_107)
| ~ in_closed(U_101,U_113,U_111) ) )
& ! [U_112,U_110,U_108,U_106] :
( ( in_closed(sK2(U_112,U_110,U_108,U_106),U_108,U_106)
& in_closed(sK2(U_112,U_110,U_108,U_106),U_112,U_110) )
| ~ axis_compatible(U_112,U_110,U_108,U_106) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_100,sK2(U_112,U_110,U_108,U_106))],[f_24_3]) ).
cnf(f_24_5,plain,
( in_closed(sK2(U_112,U_110,U_108,U_106),U_112,U_110)
| ~ axis_compatible(U_112,U_110,U_108,U_106) ),
inference(clausify,[status(thm)],[f_24_4]) ).
cnf(f_24_6,plain,
( in_closed(sK2(U_112,U_110,U_108,U_106),U_108,U_106)
| ~ axis_compatible(U_112,U_110,U_108,U_106) ),
inference(clausify,[status(thm)],[f_24_4]) ).
cnf(f_24_7,plain,
( axis_compatible(U_113,U_111,U_109,U_107)
| ~ in_closed(U_101,U_109,U_107)
| ~ in_closed(U_101,U_113,U_111) ),
inference(clausify,[status(thm)],[f_24_4]) ).
fof(f_25_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_25_2,plain,
! [U_119,U_118,U_117,U_116] :
( ( axis_subsumes(U_119,U_118,U_117,U_116)
| ? [U_115] :
( ~ in_closed(U_115,U_117,U_116)
& in_closed(U_115,U_119,U_118) ) )
& ( ! [U_114] :
( in_closed(U_114,U_117,U_116)
| ~ in_closed(U_114,U_119,U_118) )
| ~ axis_subsumes(U_119,U_118,U_117,U_116) ) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
( ! [U_127,U_125,U_123,U_121] :
( axis_subsumes(U_127,U_125,U_123,U_121)
| ? [U_115] :
( ~ in_closed(U_115,U_123,U_121)
& in_closed(U_115,U_127,U_125) ) )
& ! [U_126,U_124,U_122,U_120] :
( ! [U_114] :
( in_closed(U_114,U_122,U_120)
| ~ in_closed(U_114,U_126,U_124) )
| ~ axis_subsumes(U_126,U_124,U_122,U_120) ) ),
inference(miniscope,[status(thm)],[f_25_2]) ).
fof(f_25_4,plain,
( ! [U_127,U_125,U_123,U_121] :
( axis_subsumes(U_127,U_125,U_123,U_121)
| ( ~ in_closed(sK3(U_127,U_125,U_123,U_121),U_123,U_121)
& in_closed(sK3(U_127,U_125,U_123,U_121),U_127,U_125) ) )
& ! [U_126,U_124,U_122,U_120] :
( ! [U_114] :
( in_closed(U_114,U_122,U_120)
| ~ in_closed(U_114,U_126,U_124) )
| ~ axis_subsumes(U_126,U_124,U_122,U_120) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_115,sK3(U_127,U_125,U_123,U_121))],[f_25_3]) ).
cnf(f_25_5,plain,
( in_closed(U_114,U_122,U_120)
| ~ in_closed(U_114,U_126,U_124)
| ~ axis_subsumes(U_126,U_124,U_122,U_120) ),
inference(clausify,[status(thm)],[f_25_4]) ).
cnf(f_25_6,plain,
( in_closed(sK3(U_127,U_125,U_123,U_121),U_127,U_125)
| axis_subsumes(U_127,U_125,U_123,U_121) ),
inference(clausify,[status(thm)],[f_25_4]) ).
cnf(f_25_7,plain,
( ~ in_closed(sK3(U_127,U_125,U_123,U_121),U_123,U_121)
| axis_subsumes(U_127,U_125,U_123,U_121) ),
inference(clausify,[status(thm)],[f_25_4]) ).
fof(f_26_1,plain,
is_verdict(conflict),
inference(fof_nnf,[status(thm)],[conflict_is_verdict]) ).
cnf(f_26_2,plain,
is_verdict(conflict),
inference(clausify,[status(thm)],[f_26_1]) ).
fof(f_27_1,plain,
is_verdict(compatible),
inference(fof_nnf,[status(thm)],[compatible_is_verdict]) ).
cnf(f_27_2,plain,
is_verdict(compatible),
inference(clausify,[status(thm)],[f_27_1]) ).
fof(f_28_1,plain,
is_verdict(unknown),
inference(fof_nnf,[status(thm)],[unknown_is_verdict]) ).
cnf(f_28_2,plain,
is_verdict(unknown),
inference(clausify,[status(thm)],[f_28_1]) ).
fof(f_29_1,plain,
conflict != compatible,
inference(fof_nnf,[status(thm)],[verdicts_distinct_cf_cp]) ).
cnf(f_29_2,plain,
conflict != compatible,
inference(clausify,[status(thm)],[f_29_1]) ).
fof(f_30_1,plain,
conflict != unknown,
inference(fof_nnf,[status(thm)],[verdicts_distinct_cf_un]) ).
cnf(f_30_2,plain,
conflict != unknown,
inference(clausify,[status(thm)],[f_30_1]) ).
fof(f_31_1,plain,
compatible != unknown,
inference(fof_nnf,[status(thm)],[verdicts_distinct_cp_un]) ).
cnf(f_31_2,plain,
compatible != unknown,
inference(clausify,[status(thm)],[f_31_1]) ).
fof(f_32_1,plain,
! [V] :
( V = unknown
| V = compatible
| V = conflict
| ~ is_verdict(V) ),
inference(fof_nnf,[status(thm)],[verdict_enum]) ).
fof(f_32_2,plain,
! [U_128] :
( U_128 = unknown
| U_128 = compatible
| U_128 = conflict
| ~ is_verdict(U_128) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
cnf(f_32_3,plain,
( U_128 = unknown
| U_128 = compatible
| U_128 = conflict
| ~ is_verdict(U_128) ),
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_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_33_2,plain,
! [U_130,U_129] :
( box_verdict(U_130,U_129) = conflict
| ( U_129 != conflict
& U_130 != conflict )
| ~ is_verdict(U_129)
| ~ is_verdict(U_130) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
( U_130 != conflict
| ~ is_verdict(U_129)
| ~ is_verdict(U_130)
| box_verdict(U_130,U_129) = conflict ),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(f_33_4,plain,
( U_129 != conflict
| ~ is_verdict(U_129)
| ~ is_verdict(U_130)
| box_verdict(U_130,U_129) = conflict ),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_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_34_2,plain,
! [U_132,U_131] :
( box_verdict(U_132,U_131) = compatible
| U_131 != compatible
| U_132 != compatible
| ~ is_verdict(U_131)
| ~ is_verdict(U_132) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_3,plain,
( box_verdict(U_132,U_131) = compatible
| U_131 != compatible
| U_132 != compatible
| ~ is_verdict(U_131)
| ~ is_verdict(U_132) ),
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_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_35_2,plain,
! [U_134,U_133] :
( box_verdict(U_134,U_133) = unknown
| U_133 = conflict
| U_134 = conflict
| ( U_133 != unknown
& U_134 != unknown )
| ~ is_verdict(U_133)
| ~ is_verdict(U_134) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
cnf(f_35_3,plain,
( U_134 != unknown
| U_134 = conflict
| U_133 = conflict
| ~ is_verdict(U_133)
| ~ is_verdict(U_134)
| box_verdict(U_134,U_133) = unknown ),
inference(clausify,[status(thm)],[f_35_2]) ).
cnf(f_35_4,plain,
( U_133 != unknown
| U_134 = conflict
| U_133 = conflict
| ~ is_verdict(U_133)
| ~ is_verdict(U_134)
| box_verdict(U_134,U_133) = unknown ),
inference(clausify,[status(thm)],[f_35_2]) ).
fof(f_36_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_36_2,plain,
! [U_136,U_135] :
( box_verdict(U_136,U_135) = unknown
| box_verdict(U_136,U_135) = compatible
| box_verdict(U_136,U_135) = conflict
| ~ is_verdict(U_135)
| ~ is_verdict(U_136) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
cnf(f_36_3,plain,
( box_verdict(U_136,U_135) = unknown
| box_verdict(U_136,U_135) = compatible
| box_verdict(U_136,U_135) = conflict
| ~ is_verdict(U_135)
| ~ is_verdict(U_136) ),
inference(clausify,[status(thm)],[f_36_2]) ).
fof(f_37_1,negated_conjecture,
xone_verdict(compatible,conflict) != compatible,
inference(negate,[status(cth)],[odrl644]) ).
fof(f_37_2,negated_conjecture,
xone_verdict(compatible,conflict) != compatible,
inference(definitional_conversion,[status(esa)],[f_37_1]) ).
cnf(f_37_3,negated_conjecture,
xone_verdict(compatible,conflict) != compatible,
inference(clausify,[status(thm)],[f_37_2]) ).
cnf(f_16_6_simplified,plain,
( U_37 = conflict
| ~ is_verdict(U_37)
| ~ is_verdict(U_38)
| xone_verdict(U_38,U_37) = unknown ),
inference(simplify_clause,[status(thm)],[f_16_6]) ).
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,
( or_verdict(Eq_x_0,Eq_x_1) = or_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,
( xone_verdict(Eq_x_0,Eq_x_1) = xone_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_6,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_7,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_8,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_9,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_10,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_11,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_12,axiom,
( is_verdict(Eq_y_0)
| ~ is_verdict(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,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_14,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_15,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_16,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_17,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_18,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_19,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(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT093+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 19 16:20:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.22/0.51 % SZS status Theorem for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------