%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU375+1 : TPTP v9.3.1. Released v3.3.0.
% 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 : n013.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 08:59:09 AM UTC 2026
% Result : Theorem 32.53s 47.80s
% Output : Proof 32.53s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
file('theBenchmark.p',antisymmetry_r2_hidden) ).
fof(cc1_funct_1,axiom,
! [A] :
( empty(A)
=> function(A) ),
file('theBenchmark.p',cc1_funct_1) ).
fof(cc1_relat_1,axiom,
! [A] :
( empty(A)
=> relation(A) ),
file('theBenchmark.p',cc1_relat_1) ).
fof(cc1_yellow_3,axiom,
! [A] :
( rel_str(A)
=> ( empty_carrier(A)
=> v1_yellow_3(A) ) ),
file('theBenchmark.p',cc1_yellow_3) ).
fof(cc2_funct_1,axiom,
! [A] :
( ( function(A)
& empty(A)
& relation(A) )
=> ( one_to_one(A)
& function(A)
& relation(A) ) ),
file('theBenchmark.p',cc2_funct_1) ).
fof(cc2_yellow_3,axiom,
! [A] :
( rel_str(A)
=> ( ~ v1_yellow_3(A)
=> ~ empty_carrier(A) ) ),
file('theBenchmark.p',cc2_yellow_3) ).
fof(d9_yellow_6,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( subnetstr(C,A,B)
=> ( full_subnetstr(C,A,B)
<=> ( subrelstr(C,B)
& full_subrelstr(C,B) ) ) ) ) ),
file('theBenchmark.p',d9_yellow_6) ).
fof(dt_k1_xboole_0,axiom,
$true,
file('theBenchmark.p',dt_k1_xboole_0) ).
fof(dt_l1_orders_2,axiom,
! [A] :
( rel_str(A)
=> one_sorted_str(A) ),
file('theBenchmark.p',dt_l1_orders_2) ).
fof(dt_l1_struct_0,axiom,
$true,
file('theBenchmark.p',dt_l1_struct_0) ).
fof(dt_l1_waybel_0,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> rel_str(B) ) ),
file('theBenchmark.p',dt_l1_waybel_0) ).
fof(dt_m1_subset_1,axiom,
$true,
file('theBenchmark.p',dt_m1_subset_1) ).
fof(dt_m1_yellow_0,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( subrelstr(B,A)
=> rel_str(B) ) ),
file('theBenchmark.p',dt_m1_yellow_0) ).
fof(dt_m1_yellow_6,axiom,
! [A,B] :
( ( net_str(B,A)
& one_sorted_str(A) )
=> ! [C] :
( subnetstr(C,A,B)
=> net_str(C,A) ) ),
file('theBenchmark.p',dt_m1_yellow_6) ).
fof(dt_u1_struct_0,axiom,
$true,
file('theBenchmark.p',dt_u1_struct_0) ).
fof(existence_l1_orders_2,axiom,
? [A] : rel_str(A),
file('theBenchmark.p',existence_l1_orders_2) ).
fof(existence_l1_struct_0,axiom,
? [A] : one_sorted_str(A),
file('theBenchmark.p',existence_l1_struct_0) ).
fof(existence_l1_waybel_0,axiom,
! [A] :
( one_sorted_str(A)
=> ? [B] : net_str(B,A) ),
file('theBenchmark.p',existence_l1_waybel_0) ).
fof(existence_m1_subset_1,axiom,
! [A] :
? [B] : element(B,A),
file('theBenchmark.p',existence_m1_subset_1) ).
fof(existence_m1_yellow_0,axiom,
! [A] :
( rel_str(A)
=> ? [B] : subrelstr(B,A) ),
file('theBenchmark.p',existence_m1_yellow_0) ).
fof(existence_m1_yellow_6,axiom,
! [A,B] :
( ( net_str(B,A)
& one_sorted_str(A) )
=> ? [C] : subnetstr(C,A,B) ),
file('theBenchmark.p',existence_m1_yellow_6) ).
fof(fc12_relat_1,axiom,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
file('theBenchmark.p',fc12_relat_1) ).
fof(fc1_struct_0,axiom,
! [A] :
( ( one_sorted_str(A)
& ~ empty_carrier(A) )
=> ~ empty(the_carrier(A)) ),
file('theBenchmark.p',fc1_struct_0) ).
fof(fc4_relat_1,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('theBenchmark.p',fc4_relat_1) ).
fof(rc1_funct_1,axiom,
? [A] :
( function(A)
& relation(A) ),
file('theBenchmark.p',rc1_funct_1) ).
fof(rc1_pboole,axiom,
? [A] :
( function(A)
& relation_empty_yielding(A)
& relation(A) ),
file('theBenchmark.p',rc1_pboole) ).
fof(rc1_relat_1,axiom,
? [A] :
( relation(A)
& empty(A) ),
file('theBenchmark.p',rc1_relat_1) ).
fof(rc2_funct_1,axiom,
? [A] :
( function(A)
& empty(A)
& relation(A) ),
file('theBenchmark.p',rc2_funct_1) ).
fof(rc2_relat_1,axiom,
? [A] :
( relation(A)
& ~ empty(A) ),
file('theBenchmark.p',rc2_relat_1) ).
fof(rc3_funct_1,axiom,
? [A] :
( one_to_one(A)
& function(A)
& relation(A) ),
file('theBenchmark.p',rc3_funct_1) ).
fof(rc3_relat_1,axiom,
? [A] :
( relation_empty_yielding(A)
& relation(A) ),
file('theBenchmark.p',rc3_relat_1) ).
fof(rc3_struct_0,axiom,
? [A] :
( ~ empty_carrier(A)
& one_sorted_str(A) ),
file('theBenchmark.p',rc3_struct_0) ).
fof(rc4_funct_1,axiom,
? [A] :
( function(A)
& relation_empty_yielding(A)
& relation(A) ),
file('theBenchmark.p',rc4_funct_1) ).
fof(t1_subset,axiom,
! [A,B] :
( in(A,B)
=> element(A,B) ),
file('theBenchmark.p',t1_subset) ).
fof(t21_yellow_6,conjecture,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( ( net_str(B,A)
& ~ empty_carrier(B) )
=> ! [C] :
( ( subnetstr(C,A,B)
& full_subnetstr(C,A,B)
& ~ empty_carrier(C) )
=> ! [D] :
( element(D,the_carrier(B))
=> ! [E] :
( element(E,the_carrier(B))
=> ! [F] :
( element(F,the_carrier(C))
=> ! [G] :
( element(G,the_carrier(C))
=> ( ( related(B,D,E)
& E = G
& D = F )
=> related(C,F,G) ) ) ) ) ) ) ) ),
file('theBenchmark.p',t21_yellow_6) ).
fof(t2_subset,axiom,
! [A,B] :
( element(A,B)
=> ( in(A,B)
| empty(B) ) ),
file('theBenchmark.p',t2_subset) ).
fof(t61_yellow_0,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( ( subrelstr(B,A)
& full_subrelstr(B,A) )
=> ! [C] :
( element(C,the_carrier(A))
=> ! [D] :
( element(D,the_carrier(A))
=> ! [E] :
( element(E,the_carrier(B))
=> ! [F] :
( element(F,the_carrier(B))
=> ( ( in(F,the_carrier(B))
& in(E,the_carrier(B))
& related(A,C,D)
& F = D
& E = C )
=> related(B,E,F) ) ) ) ) ) ) ),
file('theBenchmark.p',t61_yellow_0) ).
fof(t6_boole,axiom,
! [A] :
( empty(A)
=> A = empty_set ),
file('theBenchmark.p',t6_boole) ).
fof(t7_boole,axiom,
! [A,B] :
~ ( empty(B)
& in(A,B) ),
file('theBenchmark.p',t7_boole) ).
fof(t8_boole,axiom,
! [A,B] :
~ ( empty(B)
& A != B
& empty(A) ),
file('theBenchmark.p',t8_boole) ).
fof(f_1_1,plain,
! [A,B] :
( ~ in(B,A)
| ~ in(A,B) ),
inference(fof_nnf,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( ~ in(U_0,U_1)
| ~ in(U_1,U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_1,U_0] :
( ~ in(U_0,U_1)
| ~ in(U_1,U_0) ),
inference(definitional_conversion,[status(esa)],[f_1_2]) ).
cnf(f_1_4,plain,
( ~ in(U_0,U_1)
| ~ in(U_1,U_0) ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [A] :
( function(A)
| ~ empty(A) ),
inference(fof_nnf,[status(thm)],[cc1_funct_1]) ).
fof(f_2_2,plain,
! [U_2] :
( function(U_2)
| ~ empty(U_2) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_2] :
( function(U_2)
| ~ empty(U_2) ),
inference(definitional_conversion,[status(esa)],[f_2_2]) ).
cnf(f_2_4,plain,
( function(U_2)
| ~ empty(U_2) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [A] :
( relation(A)
| ~ empty(A) ),
inference(fof_nnf,[status(thm)],[cc1_relat_1]) ).
fof(f_3_2,plain,
! [U_3] :
( relation(U_3)
| ~ empty(U_3) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_3] :
( relation(U_3)
| ~ empty(U_3) ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( relation(U_3)
| ~ empty(U_3) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [A] :
( v1_yellow_3(A)
| ~ empty_carrier(A)
| ~ rel_str(A) ),
inference(fof_nnf,[status(thm)],[cc1_yellow_3]) ).
fof(f_4_2,plain,
! [U_4] :
( v1_yellow_3(U_4)
| ~ empty_carrier(U_4)
| ~ rel_str(U_4) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_4] :
( v1_yellow_3(U_4)
| ~ empty_carrier(U_4)
| ~ rel_str(U_4) ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( v1_yellow_3(U_4)
| ~ empty_carrier(U_4)
| ~ rel_str(U_4) ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [A] :
( ( one_to_one(A)
& function(A)
& relation(A) )
| ~ function(A)
| ~ empty(A)
| ~ relation(A) ),
inference(fof_nnf,[status(thm)],[cc2_funct_1]) ).
fof(f_5_2,plain,
! [U_5] :
( ( one_to_one(U_5)
& function(U_5)
& relation(U_5) )
| ~ function(U_5)
| ~ empty(U_5)
| ~ relation(U_5) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_5] :
( one_to_one(U_5)
| ~ sP0(U_5) )
& ! [U_5] :
( function(U_5)
| ~ sP0(U_5) )
& ! [U_5] :
( relation(U_5)
| ~ sP0(U_5) )
& ! [U_5] :
( sP0(U_5)
| ~ function(U_5)
| ~ empty(U_5)
| ~ relation(U_5) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_5_2]) ).
cnf(f_5_4,plain,
( sP0(U_5)
| ~ function(U_5)
| ~ empty(U_5)
| ~ relation(U_5) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_5,plain,
( relation(U_5)
| ~ sP0(U_5) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_6,plain,
( function(U_5)
| ~ sP0(U_5) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_7,plain,
( one_to_one(U_5)
| ~ sP0(U_5) ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [A] :
( ~ empty_carrier(A)
| v1_yellow_3(A)
| ~ rel_str(A) ),
inference(fof_nnf,[status(thm)],[cc2_yellow_3]) ).
fof(f_6_2,plain,
! [U_6] :
( ~ empty_carrier(U_6)
| v1_yellow_3(U_6)
| ~ rel_str(U_6) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_6] :
( ~ empty_carrier(U_6)
| v1_yellow_3(U_6)
| ~ rel_str(U_6) ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( ~ empty_carrier(U_6)
| v1_yellow_3(U_6)
| ~ rel_str(U_6) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( full_subnetstr(C,A,B)
| ~ subrelstr(C,B)
| ~ full_subrelstr(C,B) )
& ( ( subrelstr(C,B)
& full_subrelstr(C,B) )
| ~ full_subnetstr(C,A,B) ) )
| ~ subnetstr(C,A,B) )
| ~ net_str(B,A) )
| ~ one_sorted_str(A) ),
inference(fof_nnf,[status(thm)],[d9_yellow_6]) ).
fof(f_7_2,plain,
! [U_9] :
( ! [U_8] :
( ! [U_7] :
( ( ( full_subnetstr(U_7,U_9,U_8)
| ~ subrelstr(U_7,U_8)
| ~ full_subrelstr(U_7,U_8) )
& ( ( subrelstr(U_7,U_8)
& full_subrelstr(U_7,U_8) )
| ~ full_subnetstr(U_7,U_9,U_8) ) )
| ~ subnetstr(U_7,U_9,U_8) )
| ~ net_str(U_8,U_9) )
| ~ one_sorted_str(U_9) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_8,U_7] :
( subrelstr(U_7,U_8)
| ~ sP1(U_8,U_7) )
& ! [U_8,U_7] :
( full_subrelstr(U_7,U_8)
| ~ sP1(U_8,U_7) )
& ! [U_8,U_7,U_9] :
( full_subnetstr(U_7,U_9,U_8)
| ~ subrelstr(U_7,U_8)
| ~ full_subrelstr(U_7,U_8)
| ~ sP2(U_8,U_7,U_9) )
& ! [U_8,U_7,U_9] :
( sP1(U_8,U_7)
| ~ full_subnetstr(U_7,U_9,U_8)
| ~ sP2(U_8,U_7,U_9) )
& ! [U_8,U_7,U_9] :
( sP2(U_8,U_7,U_9)
| ~ subnetstr(U_7,U_9,U_8)
| ~ net_str(U_8,U_9)
| ~ one_sorted_str(U_9) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1,sP2])],[f_7_2]) ).
cnf(f_7_4,plain,
( sP2(U_8,U_7,U_9)
| ~ subnetstr(U_7,U_9,U_8)
| ~ net_str(U_8,U_9)
| ~ one_sorted_str(U_9) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_5,plain,
( sP1(U_8,U_7)
| ~ full_subnetstr(U_7,U_9,U_8)
| ~ sP2(U_8,U_7,U_9) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_6,plain,
( full_subnetstr(U_7,U_9,U_8)
| ~ subrelstr(U_7,U_8)
| ~ full_subrelstr(U_7,U_8)
| ~ sP2(U_8,U_7,U_9) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_7,plain,
( full_subrelstr(U_7,U_8)
| ~ sP1(U_8,U_7) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_8,plain,
( subrelstr(U_7,U_8)
| ~ sP1(U_8,U_7) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_xboole_0]) ).
fof(f_8_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_8_1]) ).
cnf(f_8_3,plain,
$true,
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [A] :
( one_sorted_str(A)
| ~ rel_str(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_orders_2]) ).
fof(f_9_2,plain,
! [U_10] :
( one_sorted_str(U_10)
| ~ rel_str(U_10) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_10] :
( one_sorted_str(U_10)
| ~ rel_str(U_10) ),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
( one_sorted_str(U_10)
| ~ rel_str(U_10) ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_l1_struct_0]) ).
fof(f_10_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_10_1]) ).
cnf(f_10_3,plain,
$true,
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_1,plain,
! [A] :
( ! [B] :
( rel_str(B)
| ~ net_str(B,A) )
| ~ one_sorted_str(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_waybel_0]) ).
fof(f_11_2,plain,
! [U_12] :
( ! [U_11] :
( rel_str(U_11)
| ~ net_str(U_11,U_12) )
| ~ one_sorted_str(U_12) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
! [U_12,U_11] :
( rel_str(U_11)
| ~ net_str(U_11,U_12)
| ~ one_sorted_str(U_12) ),
inference(definitional_conversion,[status(esa)],[f_11_2]) ).
cnf(f_11_4,plain,
( rel_str(U_11)
| ~ net_str(U_11,U_12)
| ~ one_sorted_str(U_12) ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_subset_1]) ).
fof(f_12_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_12_1]) ).
cnf(f_12_3,plain,
$true,
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
! [A] :
( ! [B] :
( rel_str(B)
| ~ subrelstr(B,A) )
| ~ rel_str(A) ),
inference(fof_nnf,[status(thm)],[dt_m1_yellow_0]) ).
fof(f_13_2,plain,
! [U_14] :
( ! [U_13] :
( rel_str(U_13)
| ~ subrelstr(U_13,U_14) )
| ~ rel_str(U_14) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_14,U_13] :
( rel_str(U_13)
| ~ subrelstr(U_13,U_14)
| ~ rel_str(U_14) ),
inference(definitional_conversion,[status(esa)],[f_13_2]) ).
cnf(f_13_4,plain,
( rel_str(U_13)
| ~ subrelstr(U_13,U_14)
| ~ rel_str(U_14) ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [A,B] :
( ! [C] :
( net_str(C,A)
| ~ subnetstr(C,A,B) )
| ~ net_str(B,A)
| ~ one_sorted_str(A) ),
inference(fof_nnf,[status(thm)],[dt_m1_yellow_6]) ).
fof(f_14_2,plain,
! [U_17,U_16] :
( ! [U_15] :
( net_str(U_15,U_17)
| ~ subnetstr(U_15,U_17,U_16) )
| ~ net_str(U_16,U_17)
| ~ one_sorted_str(U_17) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
! [U_16,U_15,U_17] :
( net_str(U_15,U_17)
| ~ subnetstr(U_15,U_17,U_16)
| ~ net_str(U_16,U_17)
| ~ one_sorted_str(U_17) ),
inference(definitional_conversion,[status(esa)],[f_14_2]) ).
cnf(f_14_4,plain,
( net_str(U_15,U_17)
| ~ subnetstr(U_15,U_17,U_16)
| ~ net_str(U_16,U_17)
| ~ one_sorted_str(U_17) ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_u1_struct_0]) ).
fof(f_15_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_15_1]) ).
cnf(f_15_3,plain,
$true,
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_16_1,plain,
? [A] : rel_str(A),
inference(fof_nnf,[status(thm)],[existence_l1_orders_2]) ).
fof(f_16_2,plain,
? [U_18] : rel_str(U_18),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
rel_str(sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_18,sK1)],[f_16_2]) ).
fof(f_16_4,plain,
rel_str(sK1),
inference(definitional_conversion,[status(esa)],[f_16_3]) ).
cnf(f_16_5,plain,
rel_str(sK1),
inference(clausify,[status(thm)],[f_16_4]) ).
fof(f_17_1,plain,
? [A] : one_sorted_str(A),
inference(fof_nnf,[status(thm)],[existence_l1_struct_0]) ).
fof(f_17_2,plain,
? [U_19] : one_sorted_str(U_19),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
one_sorted_str(sK2),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_19,sK2)],[f_17_2]) ).
fof(f_17_4,plain,
one_sorted_str(sK2),
inference(definitional_conversion,[status(esa)],[f_17_3]) ).
cnf(f_17_5,plain,
one_sorted_str(sK2),
inference(clausify,[status(thm)],[f_17_4]) ).
fof(f_18_1,plain,
! [A] :
( ? [B] : net_str(B,A)
| ~ one_sorted_str(A) ),
inference(fof_nnf,[status(thm)],[existence_l1_waybel_0]) ).
fof(f_18_2,plain,
! [U_21] :
( ? [U_20] : net_str(U_20,U_21)
| ~ one_sorted_str(U_21) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_21] :
( net_str(sK3(U_21),U_21)
| ~ one_sorted_str(U_21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_20,sK3(U_21))],[f_18_2]) ).
fof(f_18_4,plain,
! [U_21] :
( net_str(sK3(U_21),U_21)
| ~ one_sorted_str(U_21) ),
inference(definitional_conversion,[status(esa)],[f_18_3]) ).
cnf(f_18_5,plain,
( net_str(sK3(U_21),U_21)
| ~ one_sorted_str(U_21) ),
inference(clausify,[status(thm)],[f_18_4]) ).
fof(f_19_1,plain,
! [A] :
? [B] : element(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_subset_1]) ).
fof(f_19_2,plain,
! [U_23] :
? [U_22] : element(U_22,U_23),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
! [U_23] : element(sK4(U_23),U_23),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_22,sK4(U_23))],[f_19_2]) ).
fof(f_19_4,plain,
! [U_23] : element(sK4(U_23),U_23),
inference(definitional_conversion,[status(esa)],[f_19_3]) ).
cnf(f_19_5,plain,
element(sK4(U_23),U_23),
inference(clausify,[status(thm)],[f_19_4]) ).
fof(f_20_1,plain,
! [A] :
( ? [B] : subrelstr(B,A)
| ~ rel_str(A) ),
inference(fof_nnf,[status(thm)],[existence_m1_yellow_0]) ).
fof(f_20_2,plain,
! [U_25] :
( ? [U_24] : subrelstr(U_24,U_25)
| ~ rel_str(U_25) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
! [U_25] :
( subrelstr(sK5(U_25),U_25)
| ~ rel_str(U_25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_24,sK5(U_25))],[f_20_2]) ).
fof(f_20_4,plain,
! [U_25] :
( subrelstr(sK5(U_25),U_25)
| ~ rel_str(U_25) ),
inference(definitional_conversion,[status(esa)],[f_20_3]) ).
cnf(f_20_5,plain,
( subrelstr(sK5(U_25),U_25)
| ~ rel_str(U_25) ),
inference(clausify,[status(thm)],[f_20_4]) ).
fof(f_21_1,plain,
! [A,B] :
( ? [C] : subnetstr(C,A,B)
| ~ net_str(B,A)
| ~ one_sorted_str(A) ),
inference(fof_nnf,[status(thm)],[existence_m1_yellow_6]) ).
fof(f_21_2,plain,
! [U_28,U_27] :
( ? [U_26] : subnetstr(U_26,U_28,U_27)
| ~ net_str(U_27,U_28)
| ~ one_sorted_str(U_28) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
! [U_28,U_27] :
( subnetstr(sK6(U_28,U_27),U_28,U_27)
| ~ net_str(U_27,U_28)
| ~ one_sorted_str(U_28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_26,sK6(U_28,U_27))],[f_21_2]) ).
fof(f_21_4,plain,
! [U_28,U_27] :
( subnetstr(sK6(U_28,U_27),U_28,U_27)
| ~ net_str(U_27,U_28)
| ~ one_sorted_str(U_28) ),
inference(definitional_conversion,[status(esa)],[f_21_3]) ).
cnf(f_21_5,plain,
( subnetstr(sK6(U_28,U_27),U_28,U_27)
| ~ net_str(U_27,U_28)
| ~ one_sorted_str(U_28) ),
inference(clausify,[status(thm)],[f_21_4]) ).
fof(f_22_1,plain,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
inference(fof_nnf,[status(thm)],[fc12_relat_1]) ).
fof(f_22_2,plain,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
inference(definitional_conversion,[status(esa)],[f_22_1]) ).
cnf(f_22_3,plain,
empty(empty_set),
inference(clausify,[status(thm)],[f_22_2]) ).
cnf(f_22_4,plain,
relation(empty_set),
inference(clausify,[status(thm)],[f_22_2]) ).
cnf(f_22_5,plain,
relation_empty_yielding(empty_set),
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
! [A] :
( ~ empty(the_carrier(A))
| ~ one_sorted_str(A)
| empty_carrier(A) ),
inference(fof_nnf,[status(thm)],[fc1_struct_0]) ).
fof(f_23_2,plain,
! [U_29] :
( ~ empty(the_carrier(U_29))
| ~ one_sorted_str(U_29)
| empty_carrier(U_29) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
! [U_29] :
( ~ empty(the_carrier(U_29))
| ~ one_sorted_str(U_29)
| empty_carrier(U_29) ),
inference(definitional_conversion,[status(esa)],[f_23_2]) ).
cnf(f_23_4,plain,
( ~ empty(the_carrier(U_29))
| ~ one_sorted_str(U_29)
| empty_carrier(U_29) ),
inference(clausify,[status(thm)],[f_23_3]) ).
fof(f_24_1,plain,
( relation(empty_set)
& empty(empty_set) ),
inference(fof_nnf,[status(thm)],[fc4_relat_1]) ).
fof(f_24_2,plain,
( relation(empty_set)
& empty(empty_set) ),
inference(definitional_conversion,[status(esa)],[f_24_1]) ).
cnf(f_24_3,plain,
empty(empty_set),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_4,plain,
relation(empty_set),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,plain,
? [A] :
( function(A)
& relation(A) ),
inference(fof_nnf,[status(thm)],[rc1_funct_1]) ).
fof(f_25_2,plain,
? [U_30] :
( function(U_30)
& relation(U_30) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
( function(sK7)
& relation(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_30,sK7)],[f_25_2]) ).
fof(f_25_4,plain,
( function(sK7)
& relation(sK7) ),
inference(definitional_conversion,[status(esa)],[f_25_3]) ).
cnf(f_25_5,plain,
relation(sK7),
inference(clausify,[status(thm)],[f_25_4]) ).
cnf(f_25_6,plain,
function(sK7),
inference(clausify,[status(thm)],[f_25_4]) ).
fof(f_26_1,plain,
? [A] :
( function(A)
& relation_empty_yielding(A)
& relation(A) ),
inference(fof_nnf,[status(thm)],[rc1_pboole]) ).
fof(f_26_2,plain,
? [U_31] :
( function(U_31)
& relation_empty_yielding(U_31)
& relation(U_31) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
( function(sK8)
& relation_empty_yielding(sK8)
& relation(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_31,sK8)],[f_26_2]) ).
fof(f_26_4,plain,
( function(sK8)
& relation_empty_yielding(sK8)
& relation(sK8) ),
inference(definitional_conversion,[status(esa)],[f_26_3]) ).
cnf(f_26_5,plain,
relation(sK8),
inference(clausify,[status(thm)],[f_26_4]) ).
cnf(f_26_6,plain,
relation_empty_yielding(sK8),
inference(clausify,[status(thm)],[f_26_4]) ).
cnf(f_26_7,plain,
function(sK8),
inference(clausify,[status(thm)],[f_26_4]) ).
fof(f_27_1,plain,
? [A] :
( relation(A)
& empty(A) ),
inference(fof_nnf,[status(thm)],[rc1_relat_1]) ).
fof(f_27_2,plain,
? [U_32] :
( relation(U_32)
& empty(U_32) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
( relation(sK9)
& empty(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_32,sK9)],[f_27_2]) ).
fof(f_27_4,plain,
( relation(sK9)
& empty(sK9) ),
inference(definitional_conversion,[status(esa)],[f_27_3]) ).
cnf(f_27_5,plain,
empty(sK9),
inference(clausify,[status(thm)],[f_27_4]) ).
cnf(f_27_6,plain,
relation(sK9),
inference(clausify,[status(thm)],[f_27_4]) ).
fof(f_28_1,plain,
? [A] :
( function(A)
& empty(A)
& relation(A) ),
inference(fof_nnf,[status(thm)],[rc2_funct_1]) ).
fof(f_28_2,plain,
? [U_33] :
( function(U_33)
& empty(U_33)
& relation(U_33) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
( function(sK10)
& empty(sK10)
& relation(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_33,sK10)],[f_28_2]) ).
fof(f_28_4,plain,
( function(sK10)
& empty(sK10)
& relation(sK10) ),
inference(definitional_conversion,[status(esa)],[f_28_3]) ).
cnf(f_28_5,plain,
relation(sK10),
inference(clausify,[status(thm)],[f_28_4]) ).
cnf(f_28_6,plain,
empty(sK10),
inference(clausify,[status(thm)],[f_28_4]) ).
cnf(f_28_7,plain,
function(sK10),
inference(clausify,[status(thm)],[f_28_4]) ).
fof(f_29_1,plain,
? [A] :
( relation(A)
& ~ empty(A) ),
inference(fof_nnf,[status(thm)],[rc2_relat_1]) ).
fof(f_29_2,plain,
? [U_34] :
( relation(U_34)
& ~ empty(U_34) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
( relation(sK11)
& ~ empty(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_34,sK11)],[f_29_2]) ).
fof(f_29_4,plain,
( relation(sK11)
& ~ empty(sK11) ),
inference(definitional_conversion,[status(esa)],[f_29_3]) ).
cnf(f_29_5,plain,
~ empty(sK11),
inference(clausify,[status(thm)],[f_29_4]) ).
cnf(f_29_6,plain,
relation(sK11),
inference(clausify,[status(thm)],[f_29_4]) ).
fof(f_30_1,plain,
? [A] :
( one_to_one(A)
& function(A)
& relation(A) ),
inference(fof_nnf,[status(thm)],[rc3_funct_1]) ).
fof(f_30_2,plain,
? [U_35] :
( one_to_one(U_35)
& function(U_35)
& relation(U_35) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
( one_to_one(sK12)
& function(sK12)
& relation(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_35,sK12)],[f_30_2]) ).
fof(f_30_4,plain,
( one_to_one(sK12)
& function(sK12)
& relation(sK12) ),
inference(definitional_conversion,[status(esa)],[f_30_3]) ).
cnf(f_30_5,plain,
relation(sK12),
inference(clausify,[status(thm)],[f_30_4]) ).
cnf(f_30_6,plain,
function(sK12),
inference(clausify,[status(thm)],[f_30_4]) ).
cnf(f_30_7,plain,
one_to_one(sK12),
inference(clausify,[status(thm)],[f_30_4]) ).
fof(f_31_1,plain,
? [A] :
( relation_empty_yielding(A)
& relation(A) ),
inference(fof_nnf,[status(thm)],[rc3_relat_1]) ).
fof(f_31_2,plain,
? [U_36] :
( relation_empty_yielding(U_36)
& relation(U_36) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
( relation_empty_yielding(sK13)
& relation(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_36,sK13)],[f_31_2]) ).
fof(f_31_4,plain,
( relation_empty_yielding(sK13)
& relation(sK13) ),
inference(definitional_conversion,[status(esa)],[f_31_3]) ).
cnf(f_31_5,plain,
relation(sK13),
inference(clausify,[status(thm)],[f_31_4]) ).
cnf(f_31_6,plain,
relation_empty_yielding(sK13),
inference(clausify,[status(thm)],[f_31_4]) ).
fof(f_32_1,plain,
? [A] :
( ~ empty_carrier(A)
& one_sorted_str(A) ),
inference(fof_nnf,[status(thm)],[rc3_struct_0]) ).
fof(f_32_2,plain,
? [U_37] :
( ~ empty_carrier(U_37)
& one_sorted_str(U_37) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
( ~ empty_carrier(sK14)
& one_sorted_str(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_37,sK14)],[f_32_2]) ).
fof(f_32_4,plain,
( ~ empty_carrier(sK14)
& one_sorted_str(sK14) ),
inference(definitional_conversion,[status(esa)],[f_32_3]) ).
cnf(f_32_5,plain,
one_sorted_str(sK14),
inference(clausify,[status(thm)],[f_32_4]) ).
cnf(f_32_6,plain,
~ empty_carrier(sK14),
inference(clausify,[status(thm)],[f_32_4]) ).
fof(f_33_1,plain,
? [A] :
( function(A)
& relation_empty_yielding(A)
& relation(A) ),
inference(fof_nnf,[status(thm)],[rc4_funct_1]) ).
fof(f_33_2,plain,
? [U_38] :
( function(U_38)
& relation_empty_yielding(U_38)
& relation(U_38) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
( function(sK15)
& relation_empty_yielding(sK15)
& relation(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_38,sK15)],[f_33_2]) ).
fof(f_33_4,plain,
( function(sK15)
& relation_empty_yielding(sK15)
& relation(sK15) ),
inference(definitional_conversion,[status(esa)],[f_33_3]) ).
cnf(f_33_5,plain,
relation(sK15),
inference(clausify,[status(thm)],[f_33_4]) ).
cnf(f_33_6,plain,
relation_empty_yielding(sK15),
inference(clausify,[status(thm)],[f_33_4]) ).
cnf(f_33_7,plain,
function(sK15),
inference(clausify,[status(thm)],[f_33_4]) ).
fof(f_34_1,plain,
! [A,B] :
( element(A,B)
| ~ in(A,B) ),
inference(fof_nnf,[status(thm)],[t1_subset]) ).
fof(f_34_2,plain,
! [U_40,U_39] :
( element(U_40,U_39)
| ~ in(U_40,U_39) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
! [U_40,U_39] :
( element(U_40,U_39)
| ~ in(U_40,U_39) ),
inference(definitional_conversion,[status(esa)],[f_34_2]) ).
cnf(f_34_4,plain,
( element(U_40,U_39)
| ~ in(U_40,U_39) ),
inference(clausify,[status(thm)],[f_34_3]) ).
fof(f_35_1,negated_conjecture,
~ ! [A] :
( one_sorted_str(A)
=> ! [B] :
( ( net_str(B,A)
& ~ empty_carrier(B) )
=> ! [C] :
( ( subnetstr(C,A,B)
& full_subnetstr(C,A,B)
& ~ empty_carrier(C) )
=> ! [D] :
( element(D,the_carrier(B))
=> ! [E] :
( element(E,the_carrier(B))
=> ! [F] :
( element(F,the_carrier(C))
=> ! [G] :
( element(G,the_carrier(C))
=> ( ( related(B,D,E)
& E = G
& D = F )
=> related(C,F,G) ) ) ) ) ) ) ) ),
inference(negate,[status(cth)],[t21_yellow_6]) ).
fof(f_35_2,negated_conjecture,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( ? [E] :
( ? [F] :
( ? [G] :
( ~ related(C,F,G)
& related(B,D,E)
& E = G
& D = F
& element(G,the_carrier(C)) )
& element(F,the_carrier(C)) )
& element(E,the_carrier(B)) )
& element(D,the_carrier(B)) )
& subnetstr(C,A,B)
& full_subnetstr(C,A,B)
& ~ empty_carrier(C) )
& net_str(B,A)
& ~ empty_carrier(B) )
& one_sorted_str(A) ),
inference(fof_nnf,[status(thm)],[f_35_1]) ).
fof(f_35_3,negated_conjecture,
? [U_47] :
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ? [U_41] :
( ~ related(U_45,U_42,U_41)
& related(U_46,U_44,U_43)
& U_43 = U_41
& U_44 = U_42
& element(U_41,the_carrier(U_45)) )
& element(U_42,the_carrier(U_45)) )
& element(U_43,the_carrier(U_46)) )
& element(U_44,the_carrier(U_46)) )
& subnetstr(U_45,U_47,U_46)
& full_subnetstr(U_45,U_47,U_46)
& ~ empty_carrier(U_45) )
& net_str(U_46,U_47)
& ~ empty_carrier(U_46) )
& one_sorted_str(U_47) ),
inference(variable_rename,[status(thm)],[f_35_2]) ).
fof(f_35_4,negated_conjecture,
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ? [U_41] :
( ~ related(U_45,U_42,U_41)
& related(U_46,U_44,U_43)
& U_43 = U_41
& U_44 = U_42
& element(U_41,the_carrier(U_45)) )
& element(U_42,the_carrier(U_45)) )
& element(U_43,the_carrier(U_46)) )
& element(U_44,the_carrier(U_46)) )
& subnetstr(U_45,sK16,U_46)
& full_subnetstr(U_45,sK16,U_46)
& ~ empty_carrier(U_45) )
& net_str(U_46,sK16)
& ~ empty_carrier(U_46) )
& one_sorted_str(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_47,sK16)],[f_35_3]) ).
fof(f_35_5,negated_conjecture,
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ? [U_41] :
( ~ related(U_45,U_42,U_41)
& related(sK17,U_44,U_43)
& U_43 = U_41
& U_44 = U_42
& element(U_41,the_carrier(U_45)) )
& element(U_42,the_carrier(U_45)) )
& element(U_43,the_carrier(sK17)) )
& element(U_44,the_carrier(sK17)) )
& subnetstr(U_45,sK16,sK17)
& full_subnetstr(U_45,sK16,sK17)
& ~ empty_carrier(U_45) )
& net_str(sK17,sK16)
& ~ empty_carrier(sK17)
& one_sorted_str(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_46,sK17)],[f_35_4]) ).
fof(f_35_6,negated_conjecture,
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ? [U_41] :
( ~ related(sK18,U_42,U_41)
& related(sK17,U_44,U_43)
& U_43 = U_41
& U_44 = U_42
& element(U_41,the_carrier(sK18)) )
& element(U_42,the_carrier(sK18)) )
& element(U_43,the_carrier(sK17)) )
& element(U_44,the_carrier(sK17)) )
& subnetstr(sK18,sK16,sK17)
& full_subnetstr(sK18,sK16,sK17)
& ~ empty_carrier(sK18)
& net_str(sK17,sK16)
& ~ empty_carrier(sK17)
& one_sorted_str(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_45,sK18)],[f_35_5]) ).
fof(f_35_7,negated_conjecture,
( ? [U_43] :
( ? [U_42] :
( ? [U_41] :
( ~ related(sK18,U_42,U_41)
& related(sK17,sK19,U_43)
& U_43 = U_41
& sK19 = U_42
& element(U_41,the_carrier(sK18)) )
& element(U_42,the_carrier(sK18)) )
& element(U_43,the_carrier(sK17)) )
& element(sK19,the_carrier(sK17))
& subnetstr(sK18,sK16,sK17)
& full_subnetstr(sK18,sK16,sK17)
& ~ empty_carrier(sK18)
& net_str(sK17,sK16)
& ~ empty_carrier(sK17)
& one_sorted_str(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_44,sK19)],[f_35_6]) ).
fof(f_35_8,negated_conjecture,
( ? [U_42] :
( ? [U_41] :
( ~ related(sK18,U_42,U_41)
& related(sK17,sK19,sK20)
& sK20 = U_41
& sK19 = U_42
& element(U_41,the_carrier(sK18)) )
& element(U_42,the_carrier(sK18)) )
& element(sK20,the_carrier(sK17))
& element(sK19,the_carrier(sK17))
& subnetstr(sK18,sK16,sK17)
& full_subnetstr(sK18,sK16,sK17)
& ~ empty_carrier(sK18)
& net_str(sK17,sK16)
& ~ empty_carrier(sK17)
& one_sorted_str(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_43,sK20)],[f_35_7]) ).
fof(f_35_9,negated_conjecture,
( ? [U_41] :
( ~ related(sK18,sK21,U_41)
& related(sK17,sK19,sK20)
& sK20 = U_41
& sK19 = sK21
& element(U_41,the_carrier(sK18)) )
& element(sK21,the_carrier(sK18))
& element(sK20,the_carrier(sK17))
& element(sK19,the_carrier(sK17))
& subnetstr(sK18,sK16,sK17)
& full_subnetstr(sK18,sK16,sK17)
& ~ empty_carrier(sK18)
& net_str(sK17,sK16)
& ~ empty_carrier(sK17)
& one_sorted_str(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_42,sK21)],[f_35_8]) ).
fof(f_35_10,negated_conjecture,
( ~ related(sK18,sK21,sK22)
& related(sK17,sK19,sK20)
& sK20 = sK22
& sK19 = sK21
& element(sK22,the_carrier(sK18))
& element(sK21,the_carrier(sK18))
& element(sK20,the_carrier(sK17))
& element(sK19,the_carrier(sK17))
& subnetstr(sK18,sK16,sK17)
& full_subnetstr(sK18,sK16,sK17)
& ~ empty_carrier(sK18)
& net_str(sK17,sK16)
& ~ empty_carrier(sK17)
& one_sorted_str(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_41,sK22)],[f_35_9]) ).
fof(f_35_11,negated_conjecture,
( ~ related(sK18,sK21,sK22)
& related(sK17,sK19,sK20)
& sK20 = sK22
& sK19 = sK21
& element(sK22,the_carrier(sK18))
& element(sK21,the_carrier(sK18))
& element(sK20,the_carrier(sK17))
& element(sK19,the_carrier(sK17))
& subnetstr(sK18,sK16,sK17)
& full_subnetstr(sK18,sK16,sK17)
& ~ empty_carrier(sK18)
& net_str(sK17,sK16)
& ~ empty_carrier(sK17)
& one_sorted_str(sK16) ),
inference(definitional_conversion,[status(esa)],[f_35_10]) ).
cnf(f_35_12,negated_conjecture,
one_sorted_str(sK16),
inference(clausify,[status(thm)],[f_35_11]) ).
cnf(f_35_13,negated_conjecture,
~ empty_carrier(sK17),
inference(clausify,[status(thm)],[f_35_11]) ).
cnf(f_35_14,negated_conjecture,
net_str(sK17,sK16),
inference(clausify,[status(thm)],[f_35_11]) ).
cnf(f_35_15,negated_conjecture,
~ empty_carrier(sK18),
inference(clausify,[status(thm)],[f_35_11]) ).
cnf(f_35_16,negated_conjecture,
full_subnetstr(sK18,sK16,sK17),
inference(clausify,[status(thm)],[f_35_11]) ).
cnf(f_35_17,negated_conjecture,
subnetstr(sK18,sK16,sK17),
inference(clausify,[status(thm)],[f_35_11]) ).
cnf(f_35_18,negated_conjecture,
element(sK19,the_carrier(sK17)),
inference(clausify,[status(thm)],[f_35_11]) ).
cnf(f_35_19,negated_conjecture,
element(sK20,the_carrier(sK17)),
inference(clausify,[status(thm)],[f_35_11]) ).
cnf(f_35_20,negated_conjecture,
element(sK21,the_carrier(sK18)),
inference(clausify,[status(thm)],[f_35_11]) ).
cnf(f_35_21,negated_conjecture,
element(sK22,the_carrier(sK18)),
inference(clausify,[status(thm)],[f_35_11]) ).
cnf(f_35_22,negated_conjecture,
sK19 = sK21,
inference(clausify,[status(thm)],[f_35_11]) ).
cnf(f_35_23,negated_conjecture,
sK20 = sK22,
inference(clausify,[status(thm)],[f_35_11]) ).
cnf(f_35_24,negated_conjecture,
related(sK17,sK19,sK20),
inference(clausify,[status(thm)],[f_35_11]) ).
cnf(f_35_25,negated_conjecture,
~ related(sK18,sK21,sK22),
inference(clausify,[status(thm)],[f_35_11]) ).
fof(f_36_1,plain,
! [A,B] :
( in(A,B)
| empty(B)
| ~ element(A,B) ),
inference(fof_nnf,[status(thm)],[t2_subset]) ).
fof(f_36_2,plain,
! [U_49,U_48] :
( in(U_49,U_48)
| empty(U_48)
| ~ element(U_49,U_48) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
! [U_48,U_49] :
( in(U_49,U_48)
| empty(U_48)
| ~ element(U_49,U_48) ),
inference(definitional_conversion,[status(esa)],[f_36_2]) ).
cnf(f_36_4,plain,
( in(U_49,U_48)
| empty(U_48)
| ~ element(U_49,U_48) ),
inference(clausify,[status(thm)],[f_36_3]) ).
fof(f_37_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( related(B,E,F)
| ~ in(F,the_carrier(B))
| ~ in(E,the_carrier(B))
| ~ related(A,C,D)
| F != D
| E != C
| ~ element(F,the_carrier(B)) )
| ~ element(E,the_carrier(B)) )
| ~ element(D,the_carrier(A)) )
| ~ element(C,the_carrier(A)) )
| ~ subrelstr(B,A)
| ~ full_subrelstr(B,A) )
| ~ rel_str(A) ),
inference(fof_nnf,[status(thm)],[t61_yellow_0]) ).
fof(f_37_2,plain,
! [U_55] :
( ! [U_54] :
( ! [U_53] :
( ! [U_52] :
( ! [U_51] :
( ! [U_50] :
( related(U_54,U_51,U_50)
| ~ in(U_50,the_carrier(U_54))
| ~ in(U_51,the_carrier(U_54))
| ~ related(U_55,U_53,U_52)
| U_50 != U_52
| U_51 != U_53
| ~ element(U_50,the_carrier(U_54)) )
| ~ element(U_51,the_carrier(U_54)) )
| ~ element(U_52,the_carrier(U_55)) )
| ~ element(U_53,the_carrier(U_55)) )
| ~ subrelstr(U_54,U_55)
| ~ full_subrelstr(U_54,U_55) )
| ~ rel_str(U_55) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
fof(f_37_3,plain,
! [U_51,U_50,U_54,U_53,U_55,U_52] :
( related(U_54,U_51,U_50)
| ~ in(U_50,the_carrier(U_54))
| ~ in(U_51,the_carrier(U_54))
| ~ related(U_55,U_53,U_52)
| U_50 != U_52
| U_51 != U_53
| ~ element(U_50,the_carrier(U_54))
| ~ element(U_51,the_carrier(U_54))
| ~ element(U_52,the_carrier(U_55))
| ~ element(U_53,the_carrier(U_55))
| ~ subrelstr(U_54,U_55)
| ~ full_subrelstr(U_54,U_55)
| ~ rel_str(U_55) ),
inference(definitional_conversion,[status(esa)],[f_37_2]) ).
cnf(f_37_4,plain,
( related(U_54,U_51,U_50)
| ~ in(U_50,the_carrier(U_54))
| ~ in(U_51,the_carrier(U_54))
| ~ related(U_55,U_53,U_52)
| U_50 != U_52
| U_51 != U_53
| ~ element(U_50,the_carrier(U_54))
| ~ element(U_51,the_carrier(U_54))
| ~ element(U_52,the_carrier(U_55))
| ~ element(U_53,the_carrier(U_55))
| ~ subrelstr(U_54,U_55)
| ~ full_subrelstr(U_54,U_55)
| ~ rel_str(U_55) ),
inference(clausify,[status(thm)],[f_37_3]) ).
fof(f_38_1,plain,
! [A] :
( A = empty_set
| ~ empty(A) ),
inference(fof_nnf,[status(thm)],[t6_boole]) ).
fof(f_38_2,plain,
! [U_56] :
( U_56 = empty_set
| ~ empty(U_56) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
fof(f_38_3,plain,
! [U_56] :
( U_56 = empty_set
| ~ empty(U_56) ),
inference(definitional_conversion,[status(esa)],[f_38_2]) ).
cnf(f_38_4,plain,
( U_56 = empty_set
| ~ empty(U_56) ),
inference(clausify,[status(thm)],[f_38_3]) ).
fof(f_39_1,plain,
! [A,B] :
( ~ empty(B)
| ~ in(A,B) ),
inference(fof_nnf,[status(thm)],[t7_boole]) ).
fof(f_39_2,plain,
! [U_58,U_57] :
( ~ empty(U_57)
| ~ in(U_58,U_57) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
! [U_57,U_58] :
( ~ empty(U_57)
| ~ in(U_58,U_57) ),
inference(definitional_conversion,[status(esa)],[f_39_2]) ).
cnf(f_39_4,plain,
( ~ empty(U_57)
| ~ in(U_58,U_57) ),
inference(clausify,[status(thm)],[f_39_3]) ).
fof(f_40_1,plain,
! [A,B] :
( ~ empty(B)
| A = B
| ~ empty(A) ),
inference(fof_nnf,[status(thm)],[t8_boole]) ).
fof(f_40_2,plain,
! [U_60,U_59] :
( ~ empty(U_59)
| U_60 = U_59
| ~ empty(U_60) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
! [U_60] :
( ! [U_59] :
( ~ empty(U_59)
| U_60 = U_59 )
| ~ empty(U_60) ),
inference(miniscope,[status(thm)],[f_40_2]) ).
fof(f_40_4,plain,
! [U_60,U_59] :
( ~ empty(U_59)
| U_60 = U_59
| ~ empty(U_60) ),
inference(definitional_conversion,[status(esa)],[f_40_3]) ).
cnf(f_40_5,plain,
( ~ empty(U_59)
| U_60 = U_59
| ~ empty(U_60) ),
inference(clausify,[status(thm)],[f_40_4]) ).
cnf(f_8_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_8_3]) ).
cnf(f_10_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_10_3]) ).
cnf(f_12_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_12_3]) ).
cnf(f_15_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_15_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,
( the_carrier(Eq_x_0) = the_carrier(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( sK3(Eq_x_0) = sK3(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( sK4(Eq_x_0) = sK4(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( sK5(Eq_x_0) = sK5(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( sK6(Eq_x_0,Eq_x_1) = sK6(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( in(Eq_y_0,Eq_y_1)
| ~ in(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,
( empty(Eq_y_0)
| ~ empty(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( function(Eq_y_0)
| ~ function(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( relation(Eq_y_0)
| ~ relation(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( rel_str(Eq_y_0)
| ~ rel_str(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( empty_carrier(Eq_y_0)
| ~ empty_carrier(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( v1_yellow_3(Eq_y_0)
| ~ v1_yellow_3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( one_to_one(Eq_y_0)
| ~ one_to_one(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,axiom,
( one_sorted_str(Eq_y_0)
| ~ one_sorted_str(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,axiom,
( net_str(Eq_y_0,Eq_y_1)
| ~ net_str(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_19,axiom,
( subnetstr(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ subnetstr(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,
( full_subnetstr(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ full_subnetstr(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_21,axiom,
( full_subrelstr(Eq_y_0,Eq_y_1)
| ~ full_subrelstr(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_22,axiom,
( subrelstr(Eq_y_0,Eq_y_1)
| ~ subrelstr(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_23,axiom,
( element(Eq_y_0,Eq_y_1)
| ~ element(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_24,axiom,
( relation_empty_yielding(Eq_y_0)
| ~ relation_empty_yielding(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_25,axiom,
( related(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ related(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_26,axiom,
( sP0(Eq_y_0)
| ~ sP0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_27,axiom,
( sP1(Eq_y_0,Eq_y_1)
| ~ sP1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_28,axiom,
( sP2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP2(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(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU375+1 : TPTP v9.3.1. Released v3.3.0.
% 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
% 0.10/15.39 % Computer : n013.cluster.edu
% 0.10/15.39 % Model : x86_64 x86_64
% 0.10/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.39 % Memory : 8046.5625MB
% 0.10/15.39 % OS : Linux 6.8.0-71-generic
% 0.10/15.39 % CPULimit : 300
% 0.10/15.39 % WCLimit : 300
% 0.10/15.39 % DateTime : Sun Sep 20 00:06:05 UTC 2026
% 0.10/15.39 % CPUTime :
% 32.53/47.80 % SZS status Theorem for theBenchmark
% 32.53/47.80 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------