%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT090+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 08:50:51 AM UTC 2026
% Result : Theorem 0.95s 1.21s
% Output : Proof 0.95s
% 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(wf_eq,axiom,
! [V,InfD,SupD] :
( wf(eq,V,InfD,SupD)
<=> ( leq(V,SupD)
& leq(InfD,V) ) ),
file('MGT002+8.ax',wf_eq) ).
fof(wf_lteq,axiom,
! [V,InfD,SupD] :
( wf(lteq,V,InfD,SupD)
<=> ( leq(V,SupD)
& leq(InfD,V) ) ),
file('MGT002+8.ax',wf_lteq) ).
fof(wf_gteq,axiom,
! [V,InfD,SupD] :
( wf(gteq,V,InfD,SupD)
<=> ( leq(V,SupD)
& leq(InfD,V) ) ),
file('MGT002+8.ax',wf_gteq) ).
fof(wf_lt,axiom,
! [V,InfD,SupD] :
( wf(lt,V,InfD,SupD)
<=> ( V != InfD
& leq(V,SupD)
& leq(InfD,V) ) ),
file('MGT002+8.ax',wf_lt) ).
fof(wf_gt,axiom,
! [V,InfD,SupD] :
( wf(gt,V,InfD,SupD)
<=> ( V != SupD
& leq(V,SupD)
& leq(InfD,V) ) ),
file('MGT002+8.ax',wf_gt) ).
fof(nonempty_eq,axiom,
! [V,InfD,SupD] :
( wf(eq,V,InfD,SupD)
=> sem_nonempty(eq,V,InfD,SupD) ),
file('MGT002+8.ax',nonempty_eq) ).
fof(nonempty_lteq,axiom,
! [V,InfD,SupD] :
( wf(lteq,V,InfD,SupD)
=> sem_nonempty(lteq,V,InfD,SupD) ),
file('MGT002+8.ax',nonempty_lteq) ).
fof(nonempty_gteq,axiom,
! [V,InfD,SupD] :
( wf(gteq,V,InfD,SupD)
=> sem_nonempty(gteq,V,InfD,SupD) ),
file('MGT002+8.ax',nonempty_gteq) ).
fof(nonempty_lt,axiom,
! [V,InfD,SupD] :
( wf(lt,V,InfD,SupD)
=> sem_nonempty(lt,V,InfD,SupD) ),
file('MGT002+8.ax',nonempty_lt) ).
fof(nonempty_gt,axiom,
! [V,InfD,SupD] :
( wf(gt,V,InfD,SupD)
=> sem_nonempty(gt,V,InfD,SupD) ),
file('MGT002+8.ax',nonempty_gt) ).
fof(op_eq_is_op,axiom,
is_op(eq),
file('MGT002+8.ax',op_eq_is_op) ).
fof(op_lt_is_op,axiom,
is_op(lt),
file('MGT002+8.ax',op_lt_is_op) ).
fof(op_lteq_is_op,axiom,
is_op(lteq),
file('MGT002+8.ax',op_lteq_is_op) ).
fof(op_gt_is_op,axiom,
is_op(gt),
file('MGT002+8.ax',op_gt_is_op) ).
fof(op_gteq_is_op,axiom,
is_op(gteq),
file('MGT002+8.ax',op_gteq_is_op) ).
fof(ops_distinct_1,axiom,
eq != lt,
file('MGT002+8.ax',ops_distinct_1) ).
fof(ops_distinct_2,axiom,
eq != lteq,
file('MGT002+8.ax',ops_distinct_2) ).
fof(ops_distinct_3,axiom,
eq != gt,
file('MGT002+8.ax',ops_distinct_3) ).
fof(ops_distinct_4,axiom,
eq != gteq,
file('MGT002+8.ax',ops_distinct_4) ).
fof(ops_distinct_5,axiom,
lt != lteq,
file('MGT002+8.ax',ops_distinct_5) ).
fof(ops_distinct_6,axiom,
lt != gt,
file('MGT002+8.ax',ops_distinct_6) ).
fof(ops_distinct_7,axiom,
lt != gteq,
file('MGT002+8.ax',ops_distinct_7) ).
fof(ops_distinct_8,axiom,
lteq != gt,
file('MGT002+8.ax',ops_distinct_8) ).
fof(ops_distinct_9,axiom,
lteq != gteq,
file('MGT002+8.ax',ops_distinct_9) ).
fof(ops_distinct_10,axiom,
gt != gteq,
file('MGT002+8.ax',ops_distinct_10) ).
fof(op_enum,axiom,
! [Op] :
( is_op(Op)
=> ( Op = gteq
| Op = gt
| Op = lteq
| Op = lt
| Op = eq ) ),
file('MGT002+8.ax',op_enum) ).
fof(val_v0,axiom,
val(v0),
file('theBenchmark.p',val_v0) ).
fof(val_v600,axiom,
val(v600),
file('theBenchmark.p',val_v600) ).
fof(val_v1200,axiom,
val(v1200),
file('theBenchmark.p',val_v1200) ).
fof(ord_v0_v600,axiom,
less(v0,v600),
file('theBenchmark.p',ord_v0_v600) ).
fof(ord_v600_v1200,axiom,
less(v600,v1200),
file('theBenchmark.p',ord_v600_v1200) ).
fof(distinct,axiom,
( v600 != v1200
& v0 != v1200
& v0 != v600 ),
file('theBenchmark.p',distinct) ).
fof(odrl613,conjecture,
wf(lt,v600,v0,v1200),
file('theBenchmark.p',odrl613) ).
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,
! [V,InfD,SupD] :
( ( wf(eq,V,InfD,SupD)
| ~ leq(V,SupD)
| ~ leq(InfD,V) )
& ( ( leq(V,SupD)
& leq(InfD,V) )
| ~ wf(eq,V,InfD,SupD) ) ),
inference(fof_nnf,[status(thm)],[wf_eq]) ).
fof(f_28_2,plain,
! [U_114,U_113,U_112] :
( ( wf(eq,U_114,U_113,U_112)
| ~ leq(U_114,U_112)
| ~ leq(U_113,U_114) )
& ( ( leq(U_114,U_112)
& leq(U_113,U_114) )
| ~ wf(eq,U_114,U_113,U_112) ) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
( ! [U_120,U_118,U_116] :
( wf(eq,U_120,U_118,U_116)
| ~ leq(U_120,U_116)
| ~ leq(U_118,U_120) )
& ! [U_119,U_117,U_115] :
( ( leq(U_119,U_115)
& leq(U_117,U_119) )
| ~ wf(eq,U_119,U_117,U_115) ) ),
inference(miniscope,[status(thm)],[f_28_2]) ).
cnf(f_28_4,plain,
( leq(U_117,U_119)
| ~ wf(eq,U_119,U_117,U_115) ),
inference(clausify,[status(thm)],[f_28_3]) ).
cnf(f_28_5,plain,
( leq(U_119,U_115)
| ~ wf(eq,U_119,U_117,U_115) ),
inference(clausify,[status(thm)],[f_28_3]) ).
cnf(f_28_6,plain,
( wf(eq,U_120,U_118,U_116)
| ~ leq(U_120,U_116)
| ~ leq(U_118,U_120) ),
inference(clausify,[status(thm)],[f_28_3]) ).
fof(f_29_1,plain,
! [V,InfD,SupD] :
( ( wf(lteq,V,InfD,SupD)
| ~ leq(V,SupD)
| ~ leq(InfD,V) )
& ( ( leq(V,SupD)
& leq(InfD,V) )
| ~ wf(lteq,V,InfD,SupD) ) ),
inference(fof_nnf,[status(thm)],[wf_lteq]) ).
fof(f_29_2,plain,
! [U_123,U_122,U_121] :
( ( wf(lteq,U_123,U_122,U_121)
| ~ leq(U_123,U_121)
| ~ leq(U_122,U_123) )
& ( ( leq(U_123,U_121)
& leq(U_122,U_123) )
| ~ wf(lteq,U_123,U_122,U_121) ) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
( ! [U_129,U_127,U_125] :
( wf(lteq,U_129,U_127,U_125)
| ~ leq(U_129,U_125)
| ~ leq(U_127,U_129) )
& ! [U_128,U_126,U_124] :
( ( leq(U_128,U_124)
& leq(U_126,U_128) )
| ~ wf(lteq,U_128,U_126,U_124) ) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
cnf(f_29_4,plain,
( leq(U_126,U_128)
| ~ wf(lteq,U_128,U_126,U_124) ),
inference(clausify,[status(thm)],[f_29_3]) ).
cnf(f_29_5,plain,
( leq(U_128,U_124)
| ~ wf(lteq,U_128,U_126,U_124) ),
inference(clausify,[status(thm)],[f_29_3]) ).
cnf(f_29_6,plain,
( wf(lteq,U_129,U_127,U_125)
| ~ leq(U_129,U_125)
| ~ leq(U_127,U_129) ),
inference(clausify,[status(thm)],[f_29_3]) ).
fof(f_30_1,plain,
! [V,InfD,SupD] :
( ( wf(gteq,V,InfD,SupD)
| ~ leq(V,SupD)
| ~ leq(InfD,V) )
& ( ( leq(V,SupD)
& leq(InfD,V) )
| ~ wf(gteq,V,InfD,SupD) ) ),
inference(fof_nnf,[status(thm)],[wf_gteq]) ).
fof(f_30_2,plain,
! [U_132,U_131,U_130] :
( ( wf(gteq,U_132,U_131,U_130)
| ~ leq(U_132,U_130)
| ~ leq(U_131,U_132) )
& ( ( leq(U_132,U_130)
& leq(U_131,U_132) )
| ~ wf(gteq,U_132,U_131,U_130) ) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
( ! [U_138,U_136,U_134] :
( wf(gteq,U_138,U_136,U_134)
| ~ leq(U_138,U_134)
| ~ leq(U_136,U_138) )
& ! [U_137,U_135,U_133] :
( ( leq(U_137,U_133)
& leq(U_135,U_137) )
| ~ wf(gteq,U_137,U_135,U_133) ) ),
inference(miniscope,[status(thm)],[f_30_2]) ).
cnf(f_30_4,plain,
( leq(U_135,U_137)
| ~ wf(gteq,U_137,U_135,U_133) ),
inference(clausify,[status(thm)],[f_30_3]) ).
cnf(f_30_5,plain,
( leq(U_137,U_133)
| ~ wf(gteq,U_137,U_135,U_133) ),
inference(clausify,[status(thm)],[f_30_3]) ).
cnf(f_30_6,plain,
( wf(gteq,U_138,U_136,U_134)
| ~ leq(U_138,U_134)
| ~ leq(U_136,U_138) ),
inference(clausify,[status(thm)],[f_30_3]) ).
fof(f_31_1,plain,
! [V,InfD,SupD] :
( ( wf(lt,V,InfD,SupD)
| V = InfD
| ~ leq(V,SupD)
| ~ leq(InfD,V) )
& ( ( V != InfD
& leq(V,SupD)
& leq(InfD,V) )
| ~ wf(lt,V,InfD,SupD) ) ),
inference(fof_nnf,[status(thm)],[wf_lt]) ).
fof(f_31_2,plain,
! [U_141,U_140,U_139] :
( ( wf(lt,U_141,U_140,U_139)
| U_141 = U_140
| ~ leq(U_141,U_139)
| ~ leq(U_140,U_141) )
& ( ( U_141 != U_140
& leq(U_141,U_139)
& leq(U_140,U_141) )
| ~ wf(lt,U_141,U_140,U_139) ) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
( ! [U_147,U_145,U_143] :
( wf(lt,U_147,U_145,U_143)
| U_147 = U_145
| ~ leq(U_147,U_143)
| ~ leq(U_145,U_147) )
& ! [U_146,U_144,U_142] :
( ( U_146 != U_144
& leq(U_146,U_142)
& leq(U_144,U_146) )
| ~ wf(lt,U_146,U_144,U_142) ) ),
inference(miniscope,[status(thm)],[f_31_2]) ).
cnf(f_31_4,plain,
( leq(U_144,U_146)
| ~ wf(lt,U_146,U_144,U_142) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_5,plain,
( leq(U_146,U_142)
| ~ wf(lt,U_146,U_144,U_142) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_6,plain,
( U_146 != U_144
| ~ wf(lt,U_146,U_144,U_142) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_7,plain,
( wf(lt,U_147,U_145,U_143)
| U_147 = U_145
| ~ leq(U_147,U_143)
| ~ leq(U_145,U_147) ),
inference(clausify,[status(thm)],[f_31_3]) ).
fof(f_32_1,plain,
! [V,InfD,SupD] :
( ( wf(gt,V,InfD,SupD)
| V = SupD
| ~ leq(V,SupD)
| ~ leq(InfD,V) )
& ( ( V != SupD
& leq(V,SupD)
& leq(InfD,V) )
| ~ wf(gt,V,InfD,SupD) ) ),
inference(fof_nnf,[status(thm)],[wf_gt]) ).
fof(f_32_2,plain,
! [U_150,U_149,U_148] :
( ( wf(gt,U_150,U_149,U_148)
| U_150 = U_148
| ~ leq(U_150,U_148)
| ~ leq(U_149,U_150) )
& ( ( U_150 != U_148
& leq(U_150,U_148)
& leq(U_149,U_150) )
| ~ wf(gt,U_150,U_149,U_148) ) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
( ! [U_156,U_154,U_152] :
( wf(gt,U_156,U_154,U_152)
| U_156 = U_152
| ~ leq(U_156,U_152)
| ~ leq(U_154,U_156) )
& ! [U_155,U_153,U_151] :
( ( U_155 != U_151
& leq(U_155,U_151)
& leq(U_153,U_155) )
| ~ wf(gt,U_155,U_153,U_151) ) ),
inference(miniscope,[status(thm)],[f_32_2]) ).
cnf(f_32_4,plain,
( leq(U_153,U_155)
| ~ wf(gt,U_155,U_153,U_151) ),
inference(clausify,[status(thm)],[f_32_3]) ).
cnf(f_32_5,plain,
( leq(U_155,U_151)
| ~ wf(gt,U_155,U_153,U_151) ),
inference(clausify,[status(thm)],[f_32_3]) ).
cnf(f_32_6,plain,
( U_155 != U_151
| ~ wf(gt,U_155,U_153,U_151) ),
inference(clausify,[status(thm)],[f_32_3]) ).
cnf(f_32_7,plain,
( wf(gt,U_156,U_154,U_152)
| U_156 = U_152
| ~ leq(U_156,U_152)
| ~ leq(U_154,U_156) ),
inference(clausify,[status(thm)],[f_32_3]) ).
fof(f_33_1,plain,
! [V,InfD,SupD] :
( sem_nonempty(eq,V,InfD,SupD)
| ~ wf(eq,V,InfD,SupD) ),
inference(fof_nnf,[status(thm)],[nonempty_eq]) ).
fof(f_33_2,plain,
! [U_159,U_158,U_157] :
( sem_nonempty(eq,U_159,U_158,U_157)
| ~ wf(eq,U_159,U_158,U_157) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
( sem_nonempty(eq,U_159,U_158,U_157)
| ~ wf(eq,U_159,U_158,U_157) ),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
! [V,InfD,SupD] :
( sem_nonempty(lteq,V,InfD,SupD)
| ~ wf(lteq,V,InfD,SupD) ),
inference(fof_nnf,[status(thm)],[nonempty_lteq]) ).
fof(f_34_2,plain,
! [U_162,U_161,U_160] :
( sem_nonempty(lteq,U_162,U_161,U_160)
| ~ wf(lteq,U_162,U_161,U_160) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_3,plain,
( sem_nonempty(lteq,U_162,U_161,U_160)
| ~ wf(lteq,U_162,U_161,U_160) ),
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_1,plain,
! [V,InfD,SupD] :
( sem_nonempty(gteq,V,InfD,SupD)
| ~ wf(gteq,V,InfD,SupD) ),
inference(fof_nnf,[status(thm)],[nonempty_gteq]) ).
fof(f_35_2,plain,
! [U_165,U_164,U_163] :
( sem_nonempty(gteq,U_165,U_164,U_163)
| ~ wf(gteq,U_165,U_164,U_163) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
cnf(f_35_3,plain,
( sem_nonempty(gteq,U_165,U_164,U_163)
| ~ wf(gteq,U_165,U_164,U_163) ),
inference(clausify,[status(thm)],[f_35_2]) ).
fof(f_36_1,plain,
! [V,InfD,SupD] :
( sem_nonempty(lt,V,InfD,SupD)
| ~ wf(lt,V,InfD,SupD) ),
inference(fof_nnf,[status(thm)],[nonempty_lt]) ).
fof(f_36_2,plain,
! [U_168,U_167,U_166] :
( sem_nonempty(lt,U_168,U_167,U_166)
| ~ wf(lt,U_168,U_167,U_166) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
cnf(f_36_3,plain,
( sem_nonempty(lt,U_168,U_167,U_166)
| ~ wf(lt,U_168,U_167,U_166) ),
inference(clausify,[status(thm)],[f_36_2]) ).
fof(f_37_1,plain,
! [V,InfD,SupD] :
( sem_nonempty(gt,V,InfD,SupD)
| ~ wf(gt,V,InfD,SupD) ),
inference(fof_nnf,[status(thm)],[nonempty_gt]) ).
fof(f_37_2,plain,
! [U_171,U_170,U_169] :
( sem_nonempty(gt,U_171,U_170,U_169)
| ~ wf(gt,U_171,U_170,U_169) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
cnf(f_37_3,plain,
( sem_nonempty(gt,U_171,U_170,U_169)
| ~ wf(gt,U_171,U_170,U_169) ),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
is_op(eq),
inference(fof_nnf,[status(thm)],[op_eq_is_op]) ).
cnf(f_38_2,plain,
is_op(eq),
inference(clausify,[status(thm)],[f_38_1]) ).
fof(f_39_1,plain,
is_op(lt),
inference(fof_nnf,[status(thm)],[op_lt_is_op]) ).
cnf(f_39_2,plain,
is_op(lt),
inference(clausify,[status(thm)],[f_39_1]) ).
fof(f_40_1,plain,
is_op(lteq),
inference(fof_nnf,[status(thm)],[op_lteq_is_op]) ).
cnf(f_40_2,plain,
is_op(lteq),
inference(clausify,[status(thm)],[f_40_1]) ).
fof(f_41_1,plain,
is_op(gt),
inference(fof_nnf,[status(thm)],[op_gt_is_op]) ).
cnf(f_41_2,plain,
is_op(gt),
inference(clausify,[status(thm)],[f_41_1]) ).
fof(f_42_1,plain,
is_op(gteq),
inference(fof_nnf,[status(thm)],[op_gteq_is_op]) ).
cnf(f_42_2,plain,
is_op(gteq),
inference(clausify,[status(thm)],[f_42_1]) ).
fof(f_43_1,plain,
eq != lt,
inference(fof_nnf,[status(thm)],[ops_distinct_1]) ).
cnf(f_43_2,plain,
eq != lt,
inference(clausify,[status(thm)],[f_43_1]) ).
fof(f_44_1,plain,
eq != lteq,
inference(fof_nnf,[status(thm)],[ops_distinct_2]) ).
cnf(f_44_2,plain,
eq != lteq,
inference(clausify,[status(thm)],[f_44_1]) ).
fof(f_45_1,plain,
eq != gt,
inference(fof_nnf,[status(thm)],[ops_distinct_3]) ).
cnf(f_45_2,plain,
eq != gt,
inference(clausify,[status(thm)],[f_45_1]) ).
fof(f_46_1,plain,
eq != gteq,
inference(fof_nnf,[status(thm)],[ops_distinct_4]) ).
cnf(f_46_2,plain,
eq != gteq,
inference(clausify,[status(thm)],[f_46_1]) ).
fof(f_47_1,plain,
lt != lteq,
inference(fof_nnf,[status(thm)],[ops_distinct_5]) ).
cnf(f_47_2,plain,
lt != lteq,
inference(clausify,[status(thm)],[f_47_1]) ).
fof(f_48_1,plain,
lt != gt,
inference(fof_nnf,[status(thm)],[ops_distinct_6]) ).
cnf(f_48_2,plain,
lt != gt,
inference(clausify,[status(thm)],[f_48_1]) ).
fof(f_49_1,plain,
lt != gteq,
inference(fof_nnf,[status(thm)],[ops_distinct_7]) ).
cnf(f_49_2,plain,
lt != gteq,
inference(clausify,[status(thm)],[f_49_1]) ).
fof(f_50_1,plain,
lteq != gt,
inference(fof_nnf,[status(thm)],[ops_distinct_8]) ).
cnf(f_50_2,plain,
lteq != gt,
inference(clausify,[status(thm)],[f_50_1]) ).
fof(f_51_1,plain,
lteq != gteq,
inference(fof_nnf,[status(thm)],[ops_distinct_9]) ).
cnf(f_51_2,plain,
lteq != gteq,
inference(clausify,[status(thm)],[f_51_1]) ).
fof(f_52_1,plain,
gt != gteq,
inference(fof_nnf,[status(thm)],[ops_distinct_10]) ).
cnf(f_52_2,plain,
gt != gteq,
inference(clausify,[status(thm)],[f_52_1]) ).
fof(f_53_1,plain,
! [Op] :
( Op = gteq
| Op = gt
| Op = lteq
| Op = lt
| Op = eq
| ~ is_op(Op) ),
inference(fof_nnf,[status(thm)],[op_enum]) ).
fof(f_53_2,plain,
! [U_172] :
( U_172 = gteq
| U_172 = gt
| U_172 = lteq
| U_172 = lt
| U_172 = eq
| ~ is_op(U_172) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
cnf(f_53_3,plain,
( U_172 = gteq
| U_172 = gt
| U_172 = lteq
| U_172 = lt
| U_172 = eq
| ~ is_op(U_172) ),
inference(clausify,[status(thm)],[f_53_2]) ).
fof(f_54_1,plain,
val(v0),
inference(fof_nnf,[status(thm)],[val_v0]) ).
cnf(f_54_2,plain,
val(v0),
inference(clausify,[status(thm)],[f_54_1]) ).
fof(f_55_1,plain,
val(v600),
inference(fof_nnf,[status(thm)],[val_v600]) ).
cnf(f_55_2,plain,
val(v600),
inference(clausify,[status(thm)],[f_55_1]) ).
fof(f_56_1,plain,
val(v1200),
inference(fof_nnf,[status(thm)],[val_v1200]) ).
cnf(f_56_2,plain,
val(v1200),
inference(clausify,[status(thm)],[f_56_1]) ).
fof(f_57_1,plain,
less(v0,v600),
inference(fof_nnf,[status(thm)],[ord_v0_v600]) ).
cnf(f_57_2,plain,
less(v0,v600),
inference(clausify,[status(thm)],[f_57_1]) ).
fof(f_58_1,plain,
less(v600,v1200),
inference(fof_nnf,[status(thm)],[ord_v600_v1200]) ).
cnf(f_58_2,plain,
less(v600,v1200),
inference(clausify,[status(thm)],[f_58_1]) ).
fof(f_59_1,plain,
( v600 != v1200
& v0 != v1200
& v0 != v600 ),
inference(fof_nnf,[status(thm)],[distinct]) ).
cnf(f_59_2,plain,
v0 != v600,
inference(clausify,[status(thm)],[f_59_1]) ).
cnf(f_59_3,plain,
v0 != v1200,
inference(clausify,[status(thm)],[f_59_1]) ).
cnf(f_59_4,plain,
v600 != v1200,
inference(clausify,[status(thm)],[f_59_1]) ).
fof(f_60_1,negated_conjecture,
~ wf(lt,v600,v0,v1200),
inference(negate,[status(cth)],[odrl613]) ).
fof(f_60_2,negated_conjecture,
~ wf(lt,v600,v0,v1200),
inference(definitional_conversion,[status(esa)],[f_60_1]) ).
cnf(f_60_3,negated_conjecture,
~ wf(lt,v600,v0,v1200),
inference(clausify,[status(thm)],[f_60_2]) ).
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,
( wf(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ wf(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,
( sem_nonempty(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sem_nonempty(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_20,axiom,
( is_op(Eq_y_0)
| ~ is_op(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_21,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 : MGT090+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 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
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 19 16:24:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.95/1.21 % SZS status Theorem for theBenchmark
% 0.95/1.21 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------