%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT068+1 : TPTP v9.3.1. Released v9.3.0.
% 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 : n009.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 08:50:48 AM UTC 2026
% Result : Theorem 192.23s 192.59s
% Output : Proof 192.79s
% 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(dense,axiom,
! [X,Y] :
( less(X,Y)
=> ? [Z] :
( less(Z,Y)
& less(X,Z) ) ),
file('MGT002+1.ax',dense) ).
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(completion_compat,axiom,
! [V,InfD,SupD] :
( ( leq(V,SupD)
& leq(InfD,V) )
=> completion_compatible(V,InfD,SupD) ),
file('MGT002+4.ax',completion_compat) ).
fof(completion_conflict,axiom,
! [U,V,InfD,SupD] :
( ( less(U,V)
& leq(V,SupD)
& leq(InfD,V)
& leq(U,SupD)
& leq(InfD,U) )
=> completion_conflict(U,V,InfD,SupD) ),
file('MGT002+4.ax',completion_conflict) ).
fof(sharpness_compat,axiom,
! [U,V,InfD,SupD] :
( ( leq(V,SupD)
& less(U,V)
& leq(U,SupD)
& leq(InfD,U) )
=> completion_compatible(U,InfD,SupD) ),
file('MGT002+4.ax',sharpness_compat) ).
fof(sharpness_conflict,axiom,
! [U,V,InfD,SupD] :
( ( leq(V,SupD)
& less(U,V)
& leq(U,SupD)
& leq(InfD,U) )
=> completion_conflict(U,V,InfD,SupD) ),
file('MGT002+4.ax',sharpness_conflict) ).
fof(monotone_conflict,axiom,
! [A1lo,A1hi,A1plo,A1phi,A2lo,A2hi] :
( ( axis_conflict(A1plo,A1phi,A2lo,A2hi)
& axis_subsumes(A1lo,A1hi,A1plo,A1phi) )
=> axis_conflict(A1lo,A1hi,A2lo,A2hi) ),
file('MGT002+4.ax',monotone_conflict) ).
fof(redundancy,axiom,
! [A1lo,A1hi,A2lo,A2hi] :
( axis_subsumes(A1lo,A1hi,A2lo,A2hi)
=> ! [X] :
( in_closed(X,A1lo,A1hi)
=> in_closed(X,A2lo,A2hi) ) ),
file('MGT002+4.ax',redundancy) ).
fof(ep_c_is_ep,axiom,
is_ep_type(c),
file('MGT002+5.ax',ep_c_is_ep) ).
fof(ep_o_is_ep,axiom,
is_ep_type(o),
file('MGT002+5.ax',ep_o_is_ep) ).
fof(ep_types_distinct,axiom,
c != o,
file('MGT002+5.ax',ep_types_distinct) ).
fof(ep_type_enum,axiom,
! [T] :
( is_ep_type(T)
=> ( T = o
| T = c ) ),
file('MGT002+5.ax',ep_type_enum) ).
fof(prec_cc,axiom,
! [U,L] :
( prec(U,L,c,c)
<=> less(U,L) ),
file('MGT002+5.ax',prec_cc) ).
fof(prec_oc,axiom,
! [U,L] :
( prec(U,L,o,c)
<=> leq(U,L) ),
file('MGT002+5.ax',prec_oc) ).
fof(prec_co,axiom,
! [U,L] :
( prec(U,L,c,o)
<=> leq(U,L) ),
file('MGT002+5.ax',prec_co) ).
fof(prec_oo,axiom,
! [U,L] :
( prec(U,L,o,o)
<=> leq(U,L) ),
file('MGT002+5.ax',prec_oo) ).
fof(disjoint_def,axiom,
! [L1,U1,CL1,CU1,L2,U2,CL2,CU2] :
( disjoint(L1,U1,CL1,CU1,L2,U2,CL2,CU2)
<=> ( prec(U2,L1,CU2,CL1)
| prec(U1,L2,CU1,CL2) ) ),
file('MGT002+5.ax',disjoint_def) ).
fof(lower_tag_eq,axiom,
lower_tag(eq,c),
file('MGT002+5.ax',lower_tag_eq) ).
fof(lower_tag_lteq,axiom,
lower_tag(lteq,c),
file('MGT002+5.ax',lower_tag_lteq) ).
fof(lower_tag_gteq,axiom,
lower_tag(gteq,c),
file('MGT002+5.ax',lower_tag_gteq) ).
fof(lower_tag_lt,axiom,
lower_tag(lt,c),
file('MGT002+5.ax',lower_tag_lt) ).
fof(lower_tag_gt,axiom,
lower_tag(gt,o),
file('MGT002+5.ax',lower_tag_gt) ).
fof(upper_tag_eq,axiom,
upper_tag(eq,c),
file('MGT002+5.ax',upper_tag_eq) ).
fof(upper_tag_lteq,axiom,
upper_tag(lteq,c),
file('MGT002+5.ax',upper_tag_lteq) ).
fof(upper_tag_gteq,axiom,
upper_tag(gteq,c),
file('MGT002+5.ax',upper_tag_gteq) ).
fof(upper_tag_lt,axiom,
upper_tag(lt,o),
file('MGT002+5.ax',upper_tag_lt) ).
fof(upper_tag_gt,axiom,
upper_tag(gt,c),
file('MGT002+5.ax',upper_tag_gt) ).
fof(h_0_3,hypothesis,
less(n0,n3),
file('theBenchmark.p',h_0_3) ).
fof(h_3_5,hypothesis,
less(n3,n5),
file('theBenchmark.p',h_3_5) ).
fof(h_5_10,hypothesis,
less(n5,n10),
file('theBenchmark.p',h_5_10) ).
fof(h_10_20,hypothesis,
less(n10,n20),
file('theBenchmark.p',h_10_20) ).
fof(h_inf_lb,hypothesis,
! [X] : leq(ninf,X),
file('theBenchmark.p',h_inf_lb) ).
fof(h_sup_ub,hypothesis,
! [X] : leq(X,nsup),
file('theBenchmark.p',h_sup_ub) ).
fof(hard_chain,conjecture,
( box_verdict(conflict,unknown) = conflict
& completion_compatible(n5,ninf,nsup)
& completion_conflict(n5,n10,ninf,nsup)
& ~ disjoint(n5,nsup,o,c,ninf,n10,c,o)
& ? [Z] :
( less(Z,n10)
& less(n5,Z) )
& axis_conflict(n0,n3,n10,n20) ),
file('theBenchmark.p',hard_chain) ).
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,Y] :
( ? [Z] :
( less(Z,Y)
& less(X,Z) )
| ~ less(X,Y) ),
inference(fof_nnf,[status(thm)],[dense]) ).
fof(f_10_2,plain,
! [U_27,U_26] :
( ? [U_25] :
( less(U_25,U_26)
& less(U_27,U_25) )
| ~ less(U_27,U_26) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_27,U_26] :
( ( less(sK1(U_27,U_26),U_26)
& less(U_27,sK1(U_27,U_26)) )
| ~ less(U_27,U_26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_25,sK1(U_27,U_26))],[f_10_2]) ).
cnf(f_10_4,plain,
( less(U_27,sK1(U_27,U_26))
| ~ less(U_27,U_26) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_5,plain,
( less(sK1(U_27,U_26),U_26)
| ~ less(U_27,U_26) ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_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_11_2,plain,
! [U_30,U_29,U_28] :
( ( in_closed(U_30,U_29,U_28)
| ~ leq(U_30,U_28)
| ~ leq(U_29,U_30) )
& ( ( leq(U_30,U_28)
& leq(U_29,U_30) )
| ~ in_closed(U_30,U_29,U_28) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_36,U_34,U_32] :
( in_closed(U_36,U_34,U_32)
| ~ leq(U_36,U_32)
| ~ leq(U_34,U_36) )
& ! [U_35,U_33,U_31] :
( ( leq(U_35,U_31)
& leq(U_33,U_35) )
| ~ in_closed(U_35,U_33,U_31) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
cnf(f_11_4,plain,
( leq(U_33,U_35)
| ~ in_closed(U_35,U_33,U_31) ),
inference(clausify,[status(thm)],[f_11_3]) ).
cnf(f_11_5,plain,
( leq(U_35,U_31)
| ~ in_closed(U_35,U_33,U_31) ),
inference(clausify,[status(thm)],[f_11_3]) ).
cnf(f_11_6,plain,
( in_closed(U_36,U_34,U_32)
| ~ leq(U_36,U_32)
| ~ leq(U_34,U_36) ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_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_12_2,plain,
! [U_39,U_38,U_37] :
( ( in_lopen(U_39,U_38,U_37)
| ~ leq(U_39,U_37)
| ~ less(U_38,U_39) )
& ( ( leq(U_39,U_37)
& less(U_38,U_39) )
| ~ in_lopen(U_39,U_38,U_37) ) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
( ! [U_45,U_43,U_41] :
( in_lopen(U_45,U_43,U_41)
| ~ leq(U_45,U_41)
| ~ less(U_43,U_45) )
& ! [U_44,U_42,U_40] :
( ( leq(U_44,U_40)
& less(U_42,U_44) )
| ~ in_lopen(U_44,U_42,U_40) ) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
cnf(f_12_4,plain,
( less(U_42,U_44)
| ~ in_lopen(U_44,U_42,U_40) ),
inference(clausify,[status(thm)],[f_12_3]) ).
cnf(f_12_5,plain,
( leq(U_44,U_40)
| ~ in_lopen(U_44,U_42,U_40) ),
inference(clausify,[status(thm)],[f_12_3]) ).
cnf(f_12_6,plain,
( in_lopen(U_45,U_43,U_41)
| ~ leq(U_45,U_41)
| ~ less(U_43,U_45) ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_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_13_2,plain,
! [U_48,U_47,U_46] :
( ( in_ropen(U_48,U_47,U_46)
| ~ less(U_48,U_46)
| ~ leq(U_47,U_48) )
& ( ( less(U_48,U_46)
& leq(U_47,U_48) )
| ~ in_ropen(U_48,U_47,U_46) ) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_54,U_52,U_50] :
( in_ropen(U_54,U_52,U_50)
| ~ less(U_54,U_50)
| ~ leq(U_52,U_54) )
& ! [U_53,U_51,U_49] :
( ( less(U_53,U_49)
& leq(U_51,U_53) )
| ~ in_ropen(U_53,U_51,U_49) ) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
( leq(U_51,U_53)
| ~ in_ropen(U_53,U_51,U_49) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_5,plain,
( less(U_53,U_49)
| ~ in_ropen(U_53,U_51,U_49) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_6,plain,
( in_ropen(U_54,U_52,U_50)
| ~ less(U_54,U_50)
| ~ leq(U_52,U_54) ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_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_14_2,plain,
! [U_57,U_56,U_55] :
( ( in_open(U_57,U_56,U_55)
| ~ less(U_57,U_55)
| ~ less(U_56,U_57) )
& ( ( less(U_57,U_55)
& less(U_56,U_57) )
| ~ in_open(U_57,U_56,U_55) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_63,U_61,U_59] :
( in_open(U_63,U_61,U_59)
| ~ less(U_63,U_59)
| ~ less(U_61,U_63) )
& ! [U_62,U_60,U_58] :
( ( less(U_62,U_58)
& less(U_60,U_62) )
| ~ in_open(U_62,U_60,U_58) ) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
cnf(f_14_4,plain,
( less(U_60,U_62)
| ~ in_open(U_62,U_60,U_58) ),
inference(clausify,[status(thm)],[f_14_3]) ).
cnf(f_14_5,plain,
( less(U_62,U_58)
| ~ in_open(U_62,U_60,U_58) ),
inference(clausify,[status(thm)],[f_14_3]) ).
cnf(f_14_6,plain,
( in_open(U_63,U_61,U_59)
| ~ less(U_63,U_59)
| ~ less(U_61,U_63) ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_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_15_2,plain,
! [U_69,U_68,U_67,U_66] :
( ( axis_conflict(U_69,U_68,U_67,U_66)
| ? [U_65] :
( in_closed(U_65,U_67,U_66)
& in_closed(U_65,U_69,U_68) ) )
& ( ! [U_64] :
( ~ in_closed(U_64,U_67,U_66)
| ~ in_closed(U_64,U_69,U_68) )
| ~ axis_conflict(U_69,U_68,U_67,U_66) ) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_77,U_75,U_73,U_71] :
( axis_conflict(U_77,U_75,U_73,U_71)
| ? [U_65] :
( in_closed(U_65,U_73,U_71)
& in_closed(U_65,U_77,U_75) ) )
& ! [U_76,U_74,U_72,U_70] :
( ! [U_64] :
( ~ in_closed(U_64,U_72,U_70)
| ~ in_closed(U_64,U_76,U_74) )
| ~ axis_conflict(U_76,U_74,U_72,U_70) ) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
( ! [U_77,U_75,U_73,U_71] :
( axis_conflict(U_77,U_75,U_73,U_71)
| ( in_closed(sK2(U_77,U_75,U_73,U_71),U_73,U_71)
& in_closed(sK2(U_77,U_75,U_73,U_71),U_77,U_75) ) )
& ! [U_76,U_74,U_72,U_70] :
( ! [U_64] :
( ~ in_closed(U_64,U_72,U_70)
| ~ in_closed(U_64,U_76,U_74) )
| ~ axis_conflict(U_76,U_74,U_72,U_70) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_65,sK2(U_77,U_75,U_73,U_71))],[f_15_3]) ).
cnf(f_15_5,plain,
( ~ in_closed(U_64,U_72,U_70)
| ~ in_closed(U_64,U_76,U_74)
| ~ axis_conflict(U_76,U_74,U_72,U_70) ),
inference(clausify,[status(thm)],[f_15_4]) ).
cnf(f_15_6,plain,
( in_closed(sK2(U_77,U_75,U_73,U_71),U_77,U_75)
| axis_conflict(U_77,U_75,U_73,U_71) ),
inference(clausify,[status(thm)],[f_15_4]) ).
cnf(f_15_7,plain,
( in_closed(sK2(U_77,U_75,U_73,U_71),U_73,U_71)
| axis_conflict(U_77,U_75,U_73,U_71) ),
inference(clausify,[status(thm)],[f_15_4]) ).
fof(f_16_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_16_2,plain,
! [U_83,U_82,U_81,U_80] :
( ( axis_compatible(U_83,U_82,U_81,U_80)
| ! [U_79] :
( ~ in_closed(U_79,U_81,U_80)
| ~ in_closed(U_79,U_83,U_82) ) )
& ( ? [U_78] :
( in_closed(U_78,U_81,U_80)
& in_closed(U_78,U_83,U_82) )
| ~ axis_compatible(U_83,U_82,U_81,U_80) ) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
( ! [U_91,U_89,U_87,U_85] :
( axis_compatible(U_91,U_89,U_87,U_85)
| ! [U_79] :
( ~ in_closed(U_79,U_87,U_85)
| ~ in_closed(U_79,U_91,U_89) ) )
& ! [U_90,U_88,U_86,U_84] :
( ? [U_78] :
( in_closed(U_78,U_86,U_84)
& in_closed(U_78,U_90,U_88) )
| ~ axis_compatible(U_90,U_88,U_86,U_84) ) ),
inference(miniscope,[status(thm)],[f_16_2]) ).
fof(f_16_4,plain,
( ! [U_91,U_89,U_87,U_85] :
( axis_compatible(U_91,U_89,U_87,U_85)
| ! [U_79] :
( ~ in_closed(U_79,U_87,U_85)
| ~ in_closed(U_79,U_91,U_89) ) )
& ! [U_90,U_88,U_86,U_84] :
( ( in_closed(sK3(U_90,U_88,U_86,U_84),U_86,U_84)
& in_closed(sK3(U_90,U_88,U_86,U_84),U_90,U_88) )
| ~ axis_compatible(U_90,U_88,U_86,U_84) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_78,sK3(U_90,U_88,U_86,U_84))],[f_16_3]) ).
cnf(f_16_5,plain,
( in_closed(sK3(U_90,U_88,U_86,U_84),U_90,U_88)
| ~ axis_compatible(U_90,U_88,U_86,U_84) ),
inference(clausify,[status(thm)],[f_16_4]) ).
cnf(f_16_6,plain,
( in_closed(sK3(U_90,U_88,U_86,U_84),U_86,U_84)
| ~ axis_compatible(U_90,U_88,U_86,U_84) ),
inference(clausify,[status(thm)],[f_16_4]) ).
cnf(f_16_7,plain,
( axis_compatible(U_91,U_89,U_87,U_85)
| ~ in_closed(U_79,U_87,U_85)
| ~ in_closed(U_79,U_91,U_89) ),
inference(clausify,[status(thm)],[f_16_4]) ).
fof(f_17_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_17_2,plain,
! [U_97,U_96,U_95,U_94] :
( ( axis_subsumes(U_97,U_96,U_95,U_94)
| ? [U_93] :
( ~ in_closed(U_93,U_95,U_94)
& in_closed(U_93,U_97,U_96) ) )
& ( ! [U_92] :
( in_closed(U_92,U_95,U_94)
| ~ in_closed(U_92,U_97,U_96) )
| ~ axis_subsumes(U_97,U_96,U_95,U_94) ) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
( ! [U_105,U_103,U_101,U_99] :
( axis_subsumes(U_105,U_103,U_101,U_99)
| ? [U_93] :
( ~ in_closed(U_93,U_101,U_99)
& in_closed(U_93,U_105,U_103) ) )
& ! [U_104,U_102,U_100,U_98] :
( ! [U_92] :
( in_closed(U_92,U_100,U_98)
| ~ in_closed(U_92,U_104,U_102) )
| ~ axis_subsumes(U_104,U_102,U_100,U_98) ) ),
inference(miniscope,[status(thm)],[f_17_2]) ).
fof(f_17_4,plain,
( ! [U_105,U_103,U_101,U_99] :
( axis_subsumes(U_105,U_103,U_101,U_99)
| ( ~ in_closed(sK4(U_105,U_103,U_101,U_99),U_101,U_99)
& in_closed(sK4(U_105,U_103,U_101,U_99),U_105,U_103) ) )
& ! [U_104,U_102,U_100,U_98] :
( ! [U_92] :
( in_closed(U_92,U_100,U_98)
| ~ in_closed(U_92,U_104,U_102) )
| ~ axis_subsumes(U_104,U_102,U_100,U_98) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_93,sK4(U_105,U_103,U_101,U_99))],[f_17_3]) ).
cnf(f_17_5,plain,
( in_closed(U_92,U_100,U_98)
| ~ in_closed(U_92,U_104,U_102)
| ~ axis_subsumes(U_104,U_102,U_100,U_98) ),
inference(clausify,[status(thm)],[f_17_4]) ).
cnf(f_17_6,plain,
( in_closed(sK4(U_105,U_103,U_101,U_99),U_105,U_103)
| axis_subsumes(U_105,U_103,U_101,U_99) ),
inference(clausify,[status(thm)],[f_17_4]) ).
cnf(f_17_7,plain,
( ~ in_closed(sK4(U_105,U_103,U_101,U_99),U_101,U_99)
| axis_subsumes(U_105,U_103,U_101,U_99) ),
inference(clausify,[status(thm)],[f_17_4]) ).
fof(f_18_1,plain,
is_verdict(conflict),
inference(fof_nnf,[status(thm)],[conflict_is_verdict]) ).
cnf(f_18_2,plain,
is_verdict(conflict),
inference(clausify,[status(thm)],[f_18_1]) ).
fof(f_19_1,plain,
is_verdict(compatible),
inference(fof_nnf,[status(thm)],[compatible_is_verdict]) ).
cnf(f_19_2,plain,
is_verdict(compatible),
inference(clausify,[status(thm)],[f_19_1]) ).
fof(f_20_1,plain,
is_verdict(unknown),
inference(fof_nnf,[status(thm)],[unknown_is_verdict]) ).
cnf(f_20_2,plain,
is_verdict(unknown),
inference(clausify,[status(thm)],[f_20_1]) ).
fof(f_21_1,plain,
conflict != compatible,
inference(fof_nnf,[status(thm)],[verdicts_distinct_cf_cp]) ).
cnf(f_21_2,plain,
conflict != compatible,
inference(clausify,[status(thm)],[f_21_1]) ).
fof(f_22_1,plain,
conflict != unknown,
inference(fof_nnf,[status(thm)],[verdicts_distinct_cf_un]) ).
cnf(f_22_2,plain,
conflict != unknown,
inference(clausify,[status(thm)],[f_22_1]) ).
fof(f_23_1,plain,
compatible != unknown,
inference(fof_nnf,[status(thm)],[verdicts_distinct_cp_un]) ).
cnf(f_23_2,plain,
compatible != unknown,
inference(clausify,[status(thm)],[f_23_1]) ).
fof(f_24_1,plain,
! [V] :
( V = unknown
| V = compatible
| V = conflict
| ~ is_verdict(V) ),
inference(fof_nnf,[status(thm)],[verdict_enum]) ).
fof(f_24_2,plain,
! [U_106] :
( U_106 = unknown
| U_106 = compatible
| U_106 = conflict
| ~ is_verdict(U_106) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( U_106 = unknown
| U_106 = compatible
| U_106 = conflict
| ~ is_verdict(U_106) ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_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_25_2,plain,
! [U_108,U_107] :
( box_verdict(U_108,U_107) = conflict
| ( U_107 != conflict
& U_108 != conflict )
| ~ is_verdict(U_107)
| ~ is_verdict(U_108) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
cnf(f_25_3,plain,
( U_108 != conflict
| ~ is_verdict(U_107)
| ~ is_verdict(U_108)
| box_verdict(U_108,U_107) = conflict ),
inference(clausify,[status(thm)],[f_25_2]) ).
cnf(f_25_4,plain,
( U_107 != conflict
| ~ is_verdict(U_107)
| ~ is_verdict(U_108)
| box_verdict(U_108,U_107) = conflict ),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_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_26_2,plain,
! [U_110,U_109] :
( box_verdict(U_110,U_109) = compatible
| U_109 != compatible
| U_110 != compatible
| ~ is_verdict(U_109)
| ~ is_verdict(U_110) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
cnf(f_26_3,plain,
( box_verdict(U_110,U_109) = compatible
| U_109 != compatible
| U_110 != compatible
| ~ is_verdict(U_109)
| ~ is_verdict(U_110) ),
inference(clausify,[status(thm)],[f_26_2]) ).
fof(f_27_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_27_2,plain,
! [U_112,U_111] :
( box_verdict(U_112,U_111) = unknown
| U_111 = conflict
| U_112 = conflict
| ( U_111 != unknown
& U_112 != unknown )
| ~ is_verdict(U_111)
| ~ is_verdict(U_112) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_3,plain,
( U_112 != unknown
| U_112 = conflict
| U_111 = conflict
| ~ is_verdict(U_111)
| ~ is_verdict(U_112)
| box_verdict(U_112,U_111) = unknown ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_4,plain,
( U_111 != unknown
| U_112 = conflict
| U_111 = conflict
| ~ is_verdict(U_111)
| ~ is_verdict(U_112)
| box_verdict(U_112,U_111) = unknown ),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_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_28_2,plain,
! [U_114,U_113] :
( box_verdict(U_114,U_113) = unknown
| box_verdict(U_114,U_113) = compatible
| box_verdict(U_114,U_113) = conflict
| ~ is_verdict(U_113)
| ~ is_verdict(U_114) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_3,plain,
( box_verdict(U_114,U_113) = unknown
| box_verdict(U_114,U_113) = compatible
| box_verdict(U_114,U_113) = conflict
| ~ is_verdict(U_113)
| ~ is_verdict(U_114) ),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_29_1,plain,
! [V,InfD,SupD] :
( completion_compatible(V,InfD,SupD)
| ~ leq(V,SupD)
| ~ leq(InfD,V) ),
inference(fof_nnf,[status(thm)],[completion_compat]) ).
fof(f_29_2,plain,
! [U_117,U_116,U_115] :
( completion_compatible(U_117,U_116,U_115)
| ~ leq(U_117,U_115)
| ~ leq(U_116,U_117) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
cnf(f_29_3,plain,
( completion_compatible(U_117,U_116,U_115)
| ~ leq(U_117,U_115)
| ~ leq(U_116,U_117) ),
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_30_1,plain,
! [U,V,InfD,SupD] :
( completion_conflict(U,V,InfD,SupD)
| ~ less(U,V)
| ~ leq(V,SupD)
| ~ leq(InfD,V)
| ~ leq(U,SupD)
| ~ leq(InfD,U) ),
inference(fof_nnf,[status(thm)],[completion_conflict]) ).
fof(f_30_2,plain,
! [U_121,U_120,U_119,U_118] :
( completion_conflict(U_121,U_120,U_119,U_118)
| ~ less(U_121,U_120)
| ~ leq(U_120,U_118)
| ~ leq(U_119,U_120)
| ~ leq(U_121,U_118)
| ~ leq(U_119,U_121) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
cnf(f_30_3,plain,
( completion_conflict(U_121,U_120,U_119,U_118)
| ~ less(U_121,U_120)
| ~ leq(U_120,U_118)
| ~ leq(U_119,U_120)
| ~ leq(U_121,U_118)
| ~ leq(U_119,U_121) ),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
! [U,V,InfD,SupD] :
( completion_compatible(U,InfD,SupD)
| ~ leq(V,SupD)
| ~ less(U,V)
| ~ leq(U,SupD)
| ~ leq(InfD,U) ),
inference(fof_nnf,[status(thm)],[sharpness_compat]) ).
fof(f_31_2,plain,
! [U_125,U_124,U_123,U_122] :
( completion_compatible(U_125,U_123,U_122)
| ~ leq(U_124,U_122)
| ~ less(U_125,U_124)
| ~ leq(U_125,U_122)
| ~ leq(U_123,U_125) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
cnf(f_31_3,plain,
( completion_compatible(U_125,U_123,U_122)
| ~ leq(U_124,U_122)
| ~ less(U_125,U_124)
| ~ leq(U_125,U_122)
| ~ leq(U_123,U_125) ),
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
! [U,V,InfD,SupD] :
( completion_conflict(U,V,InfD,SupD)
| ~ leq(V,SupD)
| ~ less(U,V)
| ~ leq(U,SupD)
| ~ leq(InfD,U) ),
inference(fof_nnf,[status(thm)],[sharpness_conflict]) ).
fof(f_32_2,plain,
! [U_129,U_128,U_127,U_126] :
( completion_conflict(U_129,U_128,U_127,U_126)
| ~ leq(U_128,U_126)
| ~ less(U_129,U_128)
| ~ leq(U_129,U_126)
| ~ leq(U_127,U_129) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
cnf(f_32_3,plain,
( completion_conflict(U_129,U_128,U_127,U_126)
| ~ leq(U_128,U_126)
| ~ less(U_129,U_128)
| ~ leq(U_129,U_126)
| ~ leq(U_127,U_129) ),
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,plain,
! [A1lo,A1hi,A1plo,A1phi,A2lo,A2hi] :
( axis_conflict(A1lo,A1hi,A2lo,A2hi)
| ~ axis_conflict(A1plo,A1phi,A2lo,A2hi)
| ~ axis_subsumes(A1lo,A1hi,A1plo,A1phi) ),
inference(fof_nnf,[status(thm)],[monotone_conflict]) ).
fof(f_33_2,plain,
! [U_135,U_134,U_133,U_132,U_131,U_130] :
( axis_conflict(U_135,U_134,U_131,U_130)
| ~ axis_conflict(U_133,U_132,U_131,U_130)
| ~ axis_subsumes(U_135,U_134,U_133,U_132) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
( axis_conflict(U_135,U_134,U_131,U_130)
| ~ axis_conflict(U_133,U_132,U_131,U_130)
| ~ axis_subsumes(U_135,U_134,U_133,U_132) ),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
! [A1lo,A1hi,A2lo,A2hi] :
( ! [X] :
( in_closed(X,A2lo,A2hi)
| ~ in_closed(X,A1lo,A1hi) )
| ~ axis_subsumes(A1lo,A1hi,A2lo,A2hi) ),
inference(fof_nnf,[status(thm)],[redundancy]) ).
fof(f_34_2,plain,
! [U_140,U_139,U_138,U_137] :
( ! [U_136] :
( in_closed(U_136,U_138,U_137)
| ~ in_closed(U_136,U_140,U_139) )
| ~ axis_subsumes(U_140,U_139,U_138,U_137) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_3,plain,
( in_closed(U_136,U_138,U_137)
| ~ in_closed(U_136,U_140,U_139)
| ~ axis_subsumes(U_140,U_139,U_138,U_137) ),
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_1,plain,
is_ep_type(c),
inference(fof_nnf,[status(thm)],[ep_c_is_ep]) ).
cnf(f_35_2,plain,
is_ep_type(c),
inference(clausify,[status(thm)],[f_35_1]) ).
fof(f_36_1,plain,
is_ep_type(o),
inference(fof_nnf,[status(thm)],[ep_o_is_ep]) ).
cnf(f_36_2,plain,
is_ep_type(o),
inference(clausify,[status(thm)],[f_36_1]) ).
fof(f_37_1,plain,
c != o,
inference(fof_nnf,[status(thm)],[ep_types_distinct]) ).
cnf(f_37_2,plain,
c != o,
inference(clausify,[status(thm)],[f_37_1]) ).
fof(f_38_1,plain,
! [T] :
( T = o
| T = c
| ~ is_ep_type(T) ),
inference(fof_nnf,[status(thm)],[ep_type_enum]) ).
fof(f_38_2,plain,
! [U_141] :
( U_141 = o
| U_141 = c
| ~ is_ep_type(U_141) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
cnf(f_38_3,plain,
( U_141 = o
| U_141 = c
| ~ is_ep_type(U_141) ),
inference(clausify,[status(thm)],[f_38_2]) ).
fof(f_39_1,plain,
! [U,L] :
( ( prec(U,L,c,c)
| ~ less(U,L) )
& ( less(U,L)
| ~ prec(U,L,c,c) ) ),
inference(fof_nnf,[status(thm)],[prec_cc]) ).
fof(f_39_2,plain,
! [U_143,U_142] :
( ( prec(U_143,U_142,c,c)
| ~ less(U_143,U_142) )
& ( less(U_143,U_142)
| ~ prec(U_143,U_142,c,c) ) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
( ! [U_147,U_145] :
( prec(U_147,U_145,c,c)
| ~ less(U_147,U_145) )
& ! [U_146,U_144] :
( less(U_146,U_144)
| ~ prec(U_146,U_144,c,c) ) ),
inference(miniscope,[status(thm)],[f_39_2]) ).
cnf(f_39_4,plain,
( less(U_146,U_144)
| ~ prec(U_146,U_144,c,c) ),
inference(clausify,[status(thm)],[f_39_3]) ).
cnf(f_39_5,plain,
( prec(U_147,U_145,c,c)
| ~ less(U_147,U_145) ),
inference(clausify,[status(thm)],[f_39_3]) ).
fof(f_40_1,plain,
! [U,L] :
( ( prec(U,L,o,c)
| ~ leq(U,L) )
& ( leq(U,L)
| ~ prec(U,L,o,c) ) ),
inference(fof_nnf,[status(thm)],[prec_oc]) ).
fof(f_40_2,plain,
! [U_149,U_148] :
( ( prec(U_149,U_148,o,c)
| ~ leq(U_149,U_148) )
& ( leq(U_149,U_148)
| ~ prec(U_149,U_148,o,c) ) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
( ! [U_153,U_151] :
( prec(U_153,U_151,o,c)
| ~ leq(U_153,U_151) )
& ! [U_152,U_150] :
( leq(U_152,U_150)
| ~ prec(U_152,U_150,o,c) ) ),
inference(miniscope,[status(thm)],[f_40_2]) ).
cnf(f_40_4,plain,
( leq(U_152,U_150)
| ~ prec(U_152,U_150,o,c) ),
inference(clausify,[status(thm)],[f_40_3]) ).
cnf(f_40_5,plain,
( prec(U_153,U_151,o,c)
| ~ leq(U_153,U_151) ),
inference(clausify,[status(thm)],[f_40_3]) ).
fof(f_41_1,plain,
! [U,L] :
( ( prec(U,L,c,o)
| ~ leq(U,L) )
& ( leq(U,L)
| ~ prec(U,L,c,o) ) ),
inference(fof_nnf,[status(thm)],[prec_co]) ).
fof(f_41_2,plain,
! [U_155,U_154] :
( ( prec(U_155,U_154,c,o)
| ~ leq(U_155,U_154) )
& ( leq(U_155,U_154)
| ~ prec(U_155,U_154,c,o) ) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
( ! [U_159,U_157] :
( prec(U_159,U_157,c,o)
| ~ leq(U_159,U_157) )
& ! [U_158,U_156] :
( leq(U_158,U_156)
| ~ prec(U_158,U_156,c,o) ) ),
inference(miniscope,[status(thm)],[f_41_2]) ).
cnf(f_41_4,plain,
( leq(U_158,U_156)
| ~ prec(U_158,U_156,c,o) ),
inference(clausify,[status(thm)],[f_41_3]) ).
cnf(f_41_5,plain,
( prec(U_159,U_157,c,o)
| ~ leq(U_159,U_157) ),
inference(clausify,[status(thm)],[f_41_3]) ).
fof(f_42_1,plain,
! [U,L] :
( ( prec(U,L,o,o)
| ~ leq(U,L) )
& ( leq(U,L)
| ~ prec(U,L,o,o) ) ),
inference(fof_nnf,[status(thm)],[prec_oo]) ).
fof(f_42_2,plain,
! [U_161,U_160] :
( ( prec(U_161,U_160,o,o)
| ~ leq(U_161,U_160) )
& ( leq(U_161,U_160)
| ~ prec(U_161,U_160,o,o) ) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
( ! [U_165,U_163] :
( prec(U_165,U_163,o,o)
| ~ leq(U_165,U_163) )
& ! [U_164,U_162] :
( leq(U_164,U_162)
| ~ prec(U_164,U_162,o,o) ) ),
inference(miniscope,[status(thm)],[f_42_2]) ).
cnf(f_42_4,plain,
( leq(U_164,U_162)
| ~ prec(U_164,U_162,o,o) ),
inference(clausify,[status(thm)],[f_42_3]) ).
cnf(f_42_5,plain,
( prec(U_165,U_163,o,o)
| ~ leq(U_165,U_163) ),
inference(clausify,[status(thm)],[f_42_3]) ).
fof(f_43_1,plain,
! [L1,U1,CL1,CU1,L2,U2,CL2,CU2] :
( ( disjoint(L1,U1,CL1,CU1,L2,U2,CL2,CU2)
| ( ~ prec(U2,L1,CU2,CL1)
& ~ prec(U1,L2,CU1,CL2) ) )
& ( prec(U2,L1,CU2,CL1)
| prec(U1,L2,CU1,CL2)
| ~ disjoint(L1,U1,CL1,CU1,L2,U2,CL2,CU2) ) ),
inference(fof_nnf,[status(thm)],[disjoint_def]) ).
fof(f_43_2,plain,
! [U_173,U_172,U_171,U_170,U_169,U_168,U_167,U_166] :
( ( disjoint(U_173,U_172,U_171,U_170,U_169,U_168,U_167,U_166)
| ( ~ prec(U_168,U_173,U_166,U_171)
& ~ prec(U_172,U_169,U_170,U_167) ) )
& ( prec(U_168,U_173,U_166,U_171)
| prec(U_172,U_169,U_170,U_167)
| ~ disjoint(U_173,U_172,U_171,U_170,U_169,U_168,U_167,U_166) ) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
( ! [U_189,U_187,U_185,U_183,U_181,U_179,U_177,U_175] :
( disjoint(U_189,U_187,U_185,U_183,U_181,U_179,U_177,U_175)
| ( ~ prec(U_179,U_189,U_175,U_185)
& ~ prec(U_187,U_181,U_183,U_177) ) )
& ! [U_188,U_186,U_184,U_182,U_180,U_178,U_176,U_174] :
( prec(U_178,U_188,U_174,U_184)
| prec(U_186,U_180,U_182,U_176)
| ~ disjoint(U_188,U_186,U_184,U_182,U_180,U_178,U_176,U_174) ) ),
inference(miniscope,[status(thm)],[f_43_2]) ).
cnf(f_43_4,plain,
( prec(U_178,U_188,U_174,U_184)
| prec(U_186,U_180,U_182,U_176)
| ~ disjoint(U_188,U_186,U_184,U_182,U_180,U_178,U_176,U_174) ),
inference(clausify,[status(thm)],[f_43_3]) ).
cnf(f_43_5,plain,
( ~ prec(U_187,U_181,U_183,U_177)
| disjoint(U_189,U_187,U_185,U_183,U_181,U_179,U_177,U_175) ),
inference(clausify,[status(thm)],[f_43_3]) ).
cnf(f_43_6,plain,
( ~ prec(U_179,U_189,U_175,U_185)
| disjoint(U_189,U_187,U_185,U_183,U_181,U_179,U_177,U_175) ),
inference(clausify,[status(thm)],[f_43_3]) ).
fof(f_44_1,plain,
lower_tag(eq,c),
inference(fof_nnf,[status(thm)],[lower_tag_eq]) ).
cnf(f_44_2,plain,
lower_tag(eq,c),
inference(clausify,[status(thm)],[f_44_1]) ).
fof(f_45_1,plain,
lower_tag(lteq,c),
inference(fof_nnf,[status(thm)],[lower_tag_lteq]) ).
cnf(f_45_2,plain,
lower_tag(lteq,c),
inference(clausify,[status(thm)],[f_45_1]) ).
fof(f_46_1,plain,
lower_tag(gteq,c),
inference(fof_nnf,[status(thm)],[lower_tag_gteq]) ).
cnf(f_46_2,plain,
lower_tag(gteq,c),
inference(clausify,[status(thm)],[f_46_1]) ).
fof(f_47_1,plain,
lower_tag(lt,c),
inference(fof_nnf,[status(thm)],[lower_tag_lt]) ).
cnf(f_47_2,plain,
lower_tag(lt,c),
inference(clausify,[status(thm)],[f_47_1]) ).
fof(f_48_1,plain,
lower_tag(gt,o),
inference(fof_nnf,[status(thm)],[lower_tag_gt]) ).
cnf(f_48_2,plain,
lower_tag(gt,o),
inference(clausify,[status(thm)],[f_48_1]) ).
fof(f_49_1,plain,
upper_tag(eq,c),
inference(fof_nnf,[status(thm)],[upper_tag_eq]) ).
cnf(f_49_2,plain,
upper_tag(eq,c),
inference(clausify,[status(thm)],[f_49_1]) ).
fof(f_50_1,plain,
upper_tag(lteq,c),
inference(fof_nnf,[status(thm)],[upper_tag_lteq]) ).
cnf(f_50_2,plain,
upper_tag(lteq,c),
inference(clausify,[status(thm)],[f_50_1]) ).
fof(f_51_1,plain,
upper_tag(gteq,c),
inference(fof_nnf,[status(thm)],[upper_tag_gteq]) ).
cnf(f_51_2,plain,
upper_tag(gteq,c),
inference(clausify,[status(thm)],[f_51_1]) ).
fof(f_52_1,plain,
upper_tag(lt,o),
inference(fof_nnf,[status(thm)],[upper_tag_lt]) ).
cnf(f_52_2,plain,
upper_tag(lt,o),
inference(clausify,[status(thm)],[f_52_1]) ).
fof(f_53_1,plain,
upper_tag(gt,c),
inference(fof_nnf,[status(thm)],[upper_tag_gt]) ).
cnf(f_53_2,plain,
upper_tag(gt,c),
inference(clausify,[status(thm)],[f_53_1]) ).
fof(f_54_1,plain,
less(n0,n3),
inference(fof_nnf,[status(thm)],[h_0_3]) ).
cnf(f_54_2,plain,
less(n0,n3),
inference(clausify,[status(thm)],[f_54_1]) ).
fof(f_55_1,plain,
less(n3,n5),
inference(fof_nnf,[status(thm)],[h_3_5]) ).
cnf(f_55_2,plain,
less(n3,n5),
inference(clausify,[status(thm)],[f_55_1]) ).
fof(f_56_1,plain,
less(n5,n10),
inference(fof_nnf,[status(thm)],[h_5_10]) ).
cnf(f_56_2,plain,
less(n5,n10),
inference(clausify,[status(thm)],[f_56_1]) ).
fof(f_57_1,plain,
less(n10,n20),
inference(fof_nnf,[status(thm)],[h_10_20]) ).
cnf(f_57_2,plain,
less(n10,n20),
inference(clausify,[status(thm)],[f_57_1]) ).
fof(f_58_1,plain,
! [X] : leq(ninf,X),
inference(fof_nnf,[status(thm)],[h_inf_lb]) ).
fof(f_58_2,plain,
! [U_190] : leq(ninf,U_190),
inference(variable_rename,[status(thm)],[f_58_1]) ).
cnf(f_58_3,plain,
leq(ninf,U_190),
inference(clausify,[status(thm)],[f_58_2]) ).
fof(f_59_1,plain,
! [X] : leq(X,nsup),
inference(fof_nnf,[status(thm)],[h_sup_ub]) ).
fof(f_59_2,plain,
! [U_191] : leq(U_191,nsup),
inference(variable_rename,[status(thm)],[f_59_1]) ).
cnf(f_59_3,plain,
leq(U_191,nsup),
inference(clausify,[status(thm)],[f_59_2]) ).
fof(f_60_1,negated_conjecture,
~ ( box_verdict(conflict,unknown) = conflict
& completion_compatible(n5,ninf,nsup)
& completion_conflict(n5,n10,ninf,nsup)
& ~ disjoint(n5,nsup,o,c,ninf,n10,c,o)
& ? [Z] :
( less(Z,n10)
& less(n5,Z) )
& axis_conflict(n0,n3,n10,n20) ),
inference(negate,[status(cth)],[hard_chain]) ).
fof(f_60_2,negated_conjecture,
( box_verdict(conflict,unknown) != conflict
| ~ completion_compatible(n5,ninf,nsup)
| ~ completion_conflict(n5,n10,ninf,nsup)
| disjoint(n5,nsup,o,c,ninf,n10,c,o)
| ! [Z] :
( ~ less(Z,n10)
| ~ less(n5,Z) )
| ~ axis_conflict(n0,n3,n10,n20) ),
inference(fof_nnf,[status(thm)],[f_60_1]) ).
fof(f_60_3,negated_conjecture,
( box_verdict(conflict,unknown) != conflict
| ~ completion_compatible(n5,ninf,nsup)
| ~ completion_conflict(n5,n10,ninf,nsup)
| disjoint(n5,nsup,o,c,ninf,n10,c,o)
| ! [U_192] :
( ~ less(U_192,n10)
| ~ less(n5,U_192) )
| ~ axis_conflict(n0,n3,n10,n20) ),
inference(variable_rename,[status(thm)],[f_60_2]) ).
cnf(f_60_4,negated_conjecture,
( box_verdict(conflict,unknown) != conflict
| ~ completion_compatible(n5,ninf,nsup)
| ~ completion_conflict(n5,n10,ninf,nsup)
| disjoint(n5,nsup,o,c,ninf,n10,c,o)
| ~ less(U_192,n10)
| ~ less(n5,U_192)
| ~ axis_conflict(n0,n3,n10,n20) ),
inference(clausify,[status(thm)],[f_60_3]) ).
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) = sK1(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,
( 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,
( sK4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK4(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,
( 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_10,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_11,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_12,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_13,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_14,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_15,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_16,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_17,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_18,axiom,
( is_verdict(Eq_y_0)
| ~ is_verdict(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_19,axiom,
( completion_compatible(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ completion_compatible(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_20,axiom,
( completion_conflict(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ completion_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_21,axiom,
( is_ep_type(Eq_y_0)
| ~ is_ep_type(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_22,axiom,
( prec(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ prec(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_23,axiom,
( disjoint(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ disjoint(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| 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_24,axiom,
( lower_tag(Eq_y_0,Eq_y_1)
| ~ lower_tag(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_25,axiom,
( upper_tag(Eq_y_0,Eq_y_1)
| ~ upper_tag(Eq_x_0,Eq_x_1)
| 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
% 0.00/0.02 % Problem : MGT068+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n009.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 19 16:19:11 UTC 2026
% 0.10/0.35 % CPUTime :
% 192.23/192.59 % SZS status Theorem for theBenchmark
% 192.23/192.59 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------