%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU373+1 : TPTP v9.3.1. Released v3.3.0.
% 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 : n002.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 08:59:08 AM UTC 2026
% Result : Theorem 2.67s 2.97s
% Output : Proof 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 67 ( 37 unt; 0 def)
% Number of atoms : 174 ( 5 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 177 ( 70 ~; 61 |; 29 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 55 ( 0 sgn 36 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d13_yellow_0,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( rel_str(B)
=> ( subrelstr(B,A)
<=> ( subset(the_InternalRel(B),the_InternalRel(A))
& subset(the_carrier(B),the_carrier(A)) ) ) ) ),
file('theBenchmark.p',d13_yellow_0) ).
fof(d8_yellow_6,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( net_str(C,A)
=> ( subnetstr(C,A,B)
<=> ( the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))
& subrelstr(C,B) ) ) ) ) ),
file('theBenchmark.p',d8_yellow_6) ).
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_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(t19_yellow_6,conjecture,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( subnetstr(C,A,B)
=> subset(the_carrier(C),the_carrier(B)) ) ) ),
file('theBenchmark.p',t19_yellow_6) ).
fof(f_6_1,plain,
! [A] :
( ! [B] :
( ( ( subrelstr(B,A)
| ~ subset(the_InternalRel(B),the_InternalRel(A))
| ~ subset(the_carrier(B),the_carrier(A)) )
& ( ( subset(the_InternalRel(B),the_InternalRel(A))
& subset(the_carrier(B),the_carrier(A)) )
| ~ subrelstr(B,A) ) )
| ~ rel_str(B) )
| ~ rel_str(A) ),
inference(fof_nnf,[status(thm)],[d13_yellow_0]) ).
fof(f_6_2,plain,
! [U_9] :
( ! [U_8] :
( ( ( subrelstr(U_8,U_9)
| ~ subset(the_InternalRel(U_8),the_InternalRel(U_9))
| ~ subset(the_carrier(U_8),the_carrier(U_9)) )
& ( ( subset(the_InternalRel(U_8),the_InternalRel(U_9))
& subset(the_carrier(U_8),the_carrier(U_9)) )
| ~ subrelstr(U_8,U_9) ) )
| ~ rel_str(U_8) )
| ~ rel_str(U_9) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( subset(the_carrier(U_8),the_carrier(U_9))
| ~ subrelstr(U_8,U_9)
| ~ rel_str(U_8)
| ~ rel_str(U_9) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( subnetstr(C,A,B)
| the_mapping(A,C) != relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))
| ~ subrelstr(C,B) )
& ( ( the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))
& subrelstr(C,B) )
| ~ subnetstr(C,A,B) ) )
| ~ net_str(C,A) )
| ~ net_str(B,A) )
| ~ one_sorted_str(A) ),
inference(fof_nnf,[status(thm)],[d8_yellow_6]) ).
fof(f_7_2,plain,
! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ( ( subnetstr(U_10,U_12,U_11)
| the_mapping(U_12,U_10) != relation_dom_restr_as_relation_of(the_carrier(U_11),the_carrier(U_12),the_mapping(U_12,U_11),the_carrier(U_10))
| ~ subrelstr(U_10,U_11) )
& ( ( the_mapping(U_12,U_10) = relation_dom_restr_as_relation_of(the_carrier(U_11),the_carrier(U_12),the_mapping(U_12,U_11),the_carrier(U_10))
& subrelstr(U_10,U_11) )
| ~ subnetstr(U_10,U_12,U_11) ) )
| ~ net_str(U_10,U_12) )
| ~ net_str(U_11,U_12) )
| ~ one_sorted_str(U_12) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( subrelstr(U_10,U_11)
| ~ subnetstr(U_10,U_12,U_11)
| ~ net_str(U_10,U_12)
| ~ net_str(U_11,U_12)
| ~ one_sorted_str(U_12) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_15_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_15_2,plain,
! [U_21] :
( ! [U_20] :
( rel_str(U_20)
| ~ net_str(U_20,U_21) )
| ~ one_sorted_str(U_21) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
cnf(f_15_3,plain,
( rel_str(U_20)
| ~ net_str(U_20,U_21)
| ~ one_sorted_str(U_21) ),
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_19_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_19_2,plain,
! [U_26,U_25] :
( ! [U_24] :
( net_str(U_24,U_26)
| ~ subnetstr(U_24,U_26,U_25) )
| ~ net_str(U_25,U_26)
| ~ one_sorted_str(U_26) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
cnf(f_19_3,plain,
( net_str(U_24,U_26)
| ~ subnetstr(U_24,U_26,U_25)
| ~ net_str(U_25,U_26)
| ~ one_sorted_str(U_26) ),
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_51_1,negated_conjecture,
~ ! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( subnetstr(C,A,B)
=> subset(the_carrier(C),the_carrier(B)) ) ) ),
inference(negate,[status(cth)],[t19_yellow_6]) ).
fof(f_51_2,negated_conjecture,
? [A] :
( ? [B] :
( ? [C] :
( ~ subset(the_carrier(C),the_carrier(B))
& subnetstr(C,A,B) )
& net_str(B,A) )
& one_sorted_str(A) ),
inference(fof_nnf,[status(thm)],[f_51_1]) ).
fof(f_51_3,negated_conjecture,
? [U_90] :
( ? [U_89] :
( ? [U_88] :
( ~ subset(the_carrier(U_88),the_carrier(U_89))
& subnetstr(U_88,U_90,U_89) )
& net_str(U_89,U_90) )
& one_sorted_str(U_90) ),
inference(variable_rename,[status(thm)],[f_51_2]) ).
fof(f_51_4,negated_conjecture,
( ? [U_89] :
( ? [U_88] :
( ~ subset(the_carrier(U_88),the_carrier(U_89))
& subnetstr(U_88,sK19,U_89) )
& net_str(U_89,sK19) )
& one_sorted_str(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_90,sK19)],[f_51_3]) ).
fof(f_51_5,negated_conjecture,
( ? [U_88] :
( ~ subset(the_carrier(U_88),the_carrier(sK20))
& subnetstr(U_88,sK19,sK20) )
& net_str(sK20,sK19)
& one_sorted_str(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_89,sK20)],[f_51_4]) ).
fof(f_51_6,negated_conjecture,
( ~ subset(the_carrier(sK21),the_carrier(sK20))
& subnetstr(sK21,sK19,sK20)
& net_str(sK20,sK19)
& one_sorted_str(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_88,sK21)],[f_51_5]) ).
fof(f_51_7,negated_conjecture,
( ~ subset(the_carrier(sK21),the_carrier(sK20))
& subnetstr(sK21,sK19,sK20)
& net_str(sK20,sK19)
& one_sorted_str(sK19) ),
inference(definitional_conversion,[status(esa)],[f_51_6]) ).
cnf(f_51_8,negated_conjecture,
one_sorted_str(sK19),
inference(clausify,[status(thm)],[f_51_7]) ).
cnf(f_51_9,negated_conjecture,
net_str(sK20,sK19),
inference(clausify,[status(thm)],[f_51_7]) ).
cnf(f_51_10,negated_conjecture,
subnetstr(sK21,sK19,sK20),
inference(clausify,[status(thm)],[f_51_7]) ).
cnf(f_51_11,negated_conjecture,
~ subset(the_carrier(sK21),the_carrier(sK20)),
inference(clausify,[status(thm)],[f_51_7]) ).
cnf(t1,plain,
~ subset(the_carrier(sK21),the_carrier(sK20)),
inference(start,[status(thm),parent(0:0)],[f_51_11]) ).
cnf(t2,plain,
( ~ rel_str(sK21)
| ~ subrelstr(sK21,sK20)
| ~ rel_str(sK20)
| subset(the_carrier(sK21),the_carrier(sK20)) ),
inference(extension,[status(thm),parent(t1:1)],[f_6_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ net_str(sK20,sK19)
| ~ one_sorted_str(sK19)
| rel_str(sK20) ),
inference(extension,[status(thm),parent(t2:2)],[f_15_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
one_sorted_str(sK19),
inference(extension,[status(thm),parent(t4:2)],[f_51_8]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
net_str(sK20,sK19),
inference(extension,[status(thm),parent(t4:3)],[f_51_9]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
( ~ net_str(sK20,sK19)
| ~ net_str(sK21,sK19)
| ~ subnetstr(sK21,sK19,sK20)
| ~ one_sorted_str(sK19)
| subrelstr(sK21,sK20) ),
inference(extension,[status(thm),parent(t2:3)],[f_7_3]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).
cnf(t12,plain,
one_sorted_str(sK19),
inference(extension,[status(thm),parent(t10:2)],[f_51_8]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(l6,lemma,
one_sorted_str(sK19),
inference(lemma,[status(cth),parent(t10:2),below(t2:3)],[t10:2]) ).
cnf(t14,plain,
subnetstr(sK21,sK19,sK20),
inference(extension,[status(thm),parent(t10:3)],[f_51_10]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
( ~ net_str(sK20,sK19)
| ~ subnetstr(sK21,sK19,sK20)
| ~ one_sorted_str(sK19)
| net_str(sK21,sK19) ),
inference(extension,[status(thm),parent(t10:4)],[f_19_3]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t10:4]) ).
cnf(t18,plain,
one_sorted_str(sK19),
inference(lemma_extension,[status(thm),parent(t16:2)],[l6:1]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
subnetstr(sK21,sK19,sK20),
inference(extension,[status(thm),parent(t16:3)],[f_51_10]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
cnf(t22,plain,
net_str(sK20,sK19),
inference(extension,[status(thm),parent(t16:4)],[f_51_9]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t16:4]) ).
cnf(t24,plain,
net_str(sK20,sK19),
inference(extension,[status(thm),parent(t10:5)],[f_51_9]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t10:5]) ).
cnf(t26,plain,
( ~ net_str(sK21,sK19)
| ~ one_sorted_str(sK19)
| rel_str(sK21) ),
inference(extension,[status(thm),parent(t2:4)],[f_15_3]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t2:4]) ).
cnf(t28,plain,
one_sorted_str(sK19),
inference(extension,[status(thm),parent(t26:2)],[f_51_8]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(l13,lemma,
one_sorted_str(sK19),
inference(lemma,[status(cth),parent(t26:2),below(t2:4)],[t26:2]) ).
cnf(t30,plain,
( ~ net_str(sK20,sK19)
| ~ subnetstr(sK21,sK19,sK20)
| ~ one_sorted_str(sK19)
| net_str(sK21,sK19) ),
inference(extension,[status(thm),parent(t26:3)],[f_19_3]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
one_sorted_str(sK19),
inference(lemma_extension,[status(thm),parent(t30:2)],[l13:1]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
subnetstr(sK21,sK19,sK20),
inference(extension,[status(thm),parent(t30:3)],[f_51_10]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
cnf(t36,plain,
net_str(sK20,sK19),
inference(extension,[status(thm),parent(t30:4)],[f_51_9]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t30:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU373+1 : TPTP v9.3.1. Released v3.3.0.
% 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
% 0.09/0.34 % Computer : n002.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 00:08:30 UTC 2026
% 0.09/0.35 % CPUTime :
% 2.67/2.97 % SZS status Theorem for theBenchmark
% 2.67/2.97 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------