%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU375+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 : Fri Sep 25 02:57:16 PM UTC 2026
% Result : Theorem 75.44s 19.98s
% Output : CNFRefutation 75.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 110 ( 31 unt; 0 def)
% Number of atoms : 486 ( 38 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 646 ( 270 ~; 255 |; 73 &)
% ( 10 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 191 ( 0 sgn 177 !; 14 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
fof(f105,axiom,
! [X0] :
( one_sorted_str(X0)
=> ( empty_carrier(X0)
<=> empty(the_carrier(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_struct_0) ).
fof(f124,axiom,
! [X0,X1] :
( ( empty(X0)
=> ( element(X1,X0)
<=> empty(X1) ) )
& ( ~ empty(X0)
=> ( element(X1,X0)
<=> in(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f181,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( net_str(X2,X0)
=> ( subnetstr(X2,X0,X1)
<=> ( the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
& subrelstr(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_yellow_6) ).
fof(f187,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> ( full_subnetstr(X2,X0,X1)
<=> ( subrelstr(X2,X1)
& full_subrelstr(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_yellow_6) ).
fof(f269,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f272,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f279,axiom,
! [X0,X1] :
( ( net_str(X1,X0)
& one_sorted_str(X0) )
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> net_str(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
fof(f601,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f614,conjecture,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( related(X1,X3,X4)
& X4 = X6
& X3 = X5 )
=> related(X2,X5,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_yellow_6) ).
fof(f615,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( related(X1,X3,X4)
& X4 = X6
& X3 = X5 )
=> related(X2,X5,X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f614]) ).
fof(f729,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ( subrelstr(X1,X0)
& full_subrelstr(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( in(X5,the_carrier(X1))
& in(X4,the_carrier(X1))
& related(X0,X2,X3)
& X5 = X3
& X4 = X2 )
=> related(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_yellow_0) ).
fof(f996,plain,
? [X0] :
( one_sorted_str(X0)
& ? [X1] :
( net_str(X1,X0)
& ~ empty_carrier(X1)
& ? [X2] :
( subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2)
& ? [X3] :
( element(X3,the_carrier(X1))
& ? [X4] :
( element(X4,the_carrier(X1))
& ? [X5] :
( element(X5,the_carrier(X2))
& ? [X6] :
( element(X6,the_carrier(X2))
& related(X1,X3,X4)
& X4 = X6
& X3 = X5
& ~ related(X2,X5,X6) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f615]) ).
fof(f997,plain,
? [X0] :
( one_sorted_str(X0)
& ? [X1] :
( net_str(X1,X0)
& ~ empty_carrier(X1)
& ? [X2] :
( subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2)
& ? [X3] :
( element(X3,the_carrier(X1))
& ? [X4] :
( element(X4,the_carrier(X1))
& ? [X5] :
( element(X5,the_carrier(X2))
& ? [X6] :
( element(X6,the_carrier(X2))
& related(X1,X3,X4)
& X4 = X6
& X3 = X5
& ~ related(X2,X5,X6) ) ) ) ) ) ) ),
inference(flattening,[],[f996]) ).
fof(f1129,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ! [X3] :
( ~ element(X3,the_carrier(X0))
| ! [X4] :
( ~ element(X4,the_carrier(X1))
| ! [X5] :
( ~ element(X5,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X2,X3)
| X3 != X5
| X2 != X4
| related(X1,X4,X5) ) ) ) ) ) ),
inference(ennf_transformation,[],[f729]) ).
fof(f1130,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ! [X3] :
( ~ element(X3,the_carrier(X0))
| ! [X4] :
( ~ element(X4,the_carrier(X1))
| ! [X5] :
( ~ element(X5,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X2,X3)
| X3 != X5
| X2 != X4
| related(X1,X4,X5) ) ) ) ) ) ),
inference(flattening,[],[f1129]) ).
fof(f1176,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(ennf_transformation,[],[f601]) ).
fof(f1233,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(ennf_transformation,[],[f269]) ).
fof(f1234,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ( empty_carrier(X0)
<=> empty(the_carrier(X0)) ) ),
inference(ennf_transformation,[],[f105]) ).
fof(f1257,plain,
! [X0,X1] :
( ( ~ empty(X0)
| ( element(X1,X0)
<=> empty(X1) ) )
& ( empty(X0)
| ( element(X1,X0)
<=> in(X1,X0) ) ) ),
inference(ennf_transformation,[],[f124]) ).
fof(f1375,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| rel_str(X1) ) ),
inference(ennf_transformation,[],[f272]) ).
fof(f1378,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ! [X2] :
( ~ subnetstr(X2,X0,X1)
| net_str(X2,X0) ) ),
inference(ennf_transformation,[],[f279]) ).
fof(f1379,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ! [X2] :
( ~ subnetstr(X2,X0,X1)
| net_str(X2,X0) ) ),
inference(flattening,[],[f1378]) ).
fof(f1412,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| ! [X2] :
( ~ subnetstr(X2,X0,X1)
| ( full_subnetstr(X2,X0,X1)
<=> ( subrelstr(X2,X1)
& full_subrelstr(X2,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f187]) ).
fof(f1613,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| ! [X2] :
( ~ net_str(X2,X0)
| ( subnetstr(X2,X0,X1)
<=> ( the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
& subrelstr(X2,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f181]) ).
fof(f1907,plain,
( one_sorted_str(sK184)
& net_str(sK185,sK184)
& ~ empty_carrier(sK185)
& subnetstr(sK186,sK184,sK185)
& full_subnetstr(sK186,sK184,sK185)
& ~ empty_carrier(sK186)
& element(sK187,the_carrier(sK185))
& element(sK188,the_carrier(sK185))
& element(sK189,the_carrier(sK186))
& element(sK190,the_carrier(sK186))
& related(sK185,sK187,sK188)
& sK188 = sK190
& sK187 = sK189
& ~ related(sK186,sK189,sK190) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK184,sK185,sK186,sK187,sK188,sK189,sK190]),skolemize(X0,sK184),skolemize(X1,sK185),skolemize(X2,sK186),skolemize(X3,sK187),skolemize(X4,sK188),skolemize(X5,sK189),skolemize(X6,sK190)],[f997]) ).
fof(f2070,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ( ( ~ empty_carrier(X0)
| empty(the_carrier(X0)) )
& ( ~ empty(the_carrier(X0))
| empty_carrier(X0) ) ) ),
inference(nnf_transformation,[],[f1234]) ).
fof(f2110,plain,
! [X0,X1] :
( ( ~ empty(X0)
| ( ( ~ element(X1,X0)
| empty(X1) )
& ( ~ empty(X1)
| element(X1,X0) ) ) )
& ( empty(X0)
| ( ( ~ element(X1,X0)
| in(X1,X0) )
& ( ~ in(X1,X0)
| element(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f1257]) ).
fof(f2296,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| ! [X2] :
( ~ subnetstr(X2,X0,X1)
| ( ( ~ full_subnetstr(X2,X0,X1)
| ( subrelstr(X2,X1)
& full_subrelstr(X2,X1) ) )
& ( ~ subrelstr(X2,X1)
| ~ full_subrelstr(X2,X1)
| full_subnetstr(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f1412]) ).
fof(f2297,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| ! [X2] :
( ~ subnetstr(X2,X0,X1)
| ( ( ~ full_subnetstr(X2,X0,X1)
| ( subrelstr(X2,X1)
& full_subrelstr(X2,X1) ) )
& ( ~ subrelstr(X2,X1)
| ~ full_subrelstr(X2,X1)
| full_subnetstr(X2,X0,X1) ) ) ) ) ),
inference(flattening,[],[f2296]) ).
fof(f2395,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| ! [X2] :
( ~ net_str(X2,X0)
| ( ( ~ subnetstr(X2,X0,X1)
| ( the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
& subrelstr(X2,X1) ) )
& ( the_mapping(X0,X2) != relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
| ~ subrelstr(X2,X1)
| subnetstr(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f1613]) ).
fof(f2396,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| ! [X2] :
( ~ net_str(X2,X0)
| ( ( ~ subnetstr(X2,X0,X1)
| ( the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
& subrelstr(X2,X1) ) )
& ( the_mapping(X0,X2) != relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
| ~ subrelstr(X2,X1)
| subnetstr(X2,X0,X1) ) ) ) ) ),
inference(flattening,[],[f2395]) ).
fof(f2792,plain,
one_sorted_str(sK184),
inference(cnf_transformation,[],[f1907]) ).
fof(f2793,plain,
net_str(sK185,sK184),
inference(cnf_transformation,[],[f1907]) ).
fof(f2795,plain,
subnetstr(sK186,sK184,sK185),
inference(cnf_transformation,[],[f1907]) ).
fof(f2796,plain,
full_subnetstr(sK186,sK184,sK185),
inference(cnf_transformation,[],[f1907]) ).
fof(f2797,plain,
~ empty_carrier(sK186),
inference(cnf_transformation,[],[f1907]) ).
fof(f2798,plain,
element(sK187,the_carrier(sK185)),
inference(cnf_transformation,[],[f1907]) ).
fof(f2799,plain,
element(sK188,the_carrier(sK185)),
inference(cnf_transformation,[],[f1907]) ).
fof(f2800,plain,
element(sK189,the_carrier(sK186)),
inference(cnf_transformation,[],[f1907]) ).
fof(f2801,plain,
element(sK190,the_carrier(sK186)),
inference(cnf_transformation,[],[f1907]) ).
fof(f2802,plain,
related(sK185,sK187,sK188),
inference(cnf_transformation,[],[f1907]) ).
fof(f2803,plain,
sK188 = sK190,
inference(cnf_transformation,[],[f1907]) ).
fof(f2804,plain,
sK187 = sK189,
inference(cnf_transformation,[],[f1907]) ).
fof(f2805,plain,
~ related(sK186,sK189,sK190),
inference(cnf_transformation,[],[f1907]) ).
fof(f2986,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rel_str(X0)
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X2,X3)
| X3 != X5
| X2 != X4
| related(X1,X4,X5) ),
inference(cnf_transformation,[],[f1130]) ).
fof(f3051,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f1176]) ).
fof(f3263,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1233]) ).
fof(f3265,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f2070]) ).
fof(f3361,plain,
! [X0,X1] :
( empty(X0)
| ~ element(X1,X0)
| in(X1,X0) ),
inference(cnf_transformation,[],[f2110]) ).
fof(f3752,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| rel_str(X1) ),
inference(cnf_transformation,[],[f1375]) ).
fof(f3754,plain,
! [X2,X0,X1] :
( ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ~ subnetstr(X2,X0,X1)
| net_str(X2,X0) ),
inference(cnf_transformation,[],[f1379]) ).
fof(f3871,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ subnetstr(X2,X0,X1)
| ~ full_subnetstr(X2,X0,X1)
| subrelstr(X2,X1) ),
inference(cnf_transformation,[],[f2297]) ).
fof(f3872,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ subnetstr(X2,X0,X1)
| ~ full_subnetstr(X2,X0,X1)
| full_subrelstr(X2,X1) ),
inference(cnf_transformation,[],[f2297]) ).
fof(f4333,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ net_str(X2,X0)
| ~ subnetstr(X2,X0,X1)
| subrelstr(X2,X1) ),
inference(cnf_transformation,[],[f2396]) ).
fof(f4468,plain,
related(sK185,sK189,sK190),
inference(definition_unfolding,[],[f2802,f2804,f2803]) ).
fof(f4469,plain,
element(sK190,the_carrier(sK185)),
inference(definition_unfolding,[],[f2799,f2803]) ).
fof(f4470,plain,
element(sK189,the_carrier(sK185)),
inference(definition_unfolding,[],[f2798,f2804]) ).
fof(f4860,plain,
! [X3,X0,X1,X4,X5] :
( ~ rel_str(X0)
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ~ element(X4,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X4,X3)
| X3 != X5
| related(X1,X4,X5) ),
inference(equality_resolution,[],[f2986]) ).
fof(f4861,plain,
! [X0,X1,X4,X5] :
( ~ rel_str(X0)
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ~ element(X4,the_carrier(X0))
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X4,X5)
| related(X1,X4,X5) ),
inference(equality_resolution,[],[f4860]) ).
tcf(c_444,negated_conjecture,
~ related(sK186,sK189,sK190),
inference(cnf_transformation,[],[f2805]) ).
tcf(c_445,negated_conjecture,
related(sK185,sK189,sK190),
inference(cnf_transformation,[],[f4468]) ).
tcf(c_446,negated_conjecture,
element(sK190,the_carrier(sK186)),
inference(cnf_transformation,[],[f2801]) ).
tcf(c_447,negated_conjecture,
element(sK189,the_carrier(sK186)),
inference(cnf_transformation,[],[f2800]) ).
tcf(c_448,negated_conjecture,
element(sK190,the_carrier(sK185)),
inference(cnf_transformation,[],[f4469]) ).
tcf(c_449,negated_conjecture,
element(sK189,the_carrier(sK185)),
inference(cnf_transformation,[],[f4470]) ).
tcf(c_450,negated_conjecture,
~ empty_carrier(sK186),
inference(cnf_transformation,[],[f2797]) ).
tcf(c_451,negated_conjecture,
full_subnetstr(sK186,sK184,sK185),
inference(cnf_transformation,[],[f2796]) ).
tcf(c_452,negated_conjecture,
subnetstr(sK186,sK184,sK185),
inference(cnf_transformation,[],[f2795]) ).
tcf(c_454,negated_conjecture,
net_str(sK185,sK184),
inference(cnf_transformation,[],[f2793]) ).
tcf(c_455,negated_conjecture,
one_sorted_str(sK184),
inference(cnf_transformation,[],[f2792]) ).
tcf(c_634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( related(X3,X1,X2)
| ~ rel_str(X0)
| ~ full_subrelstr(X3,X0)
| ~ subrelstr(X3,X0)
| ~ element(X2,the_carrier(X3))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X3))
| ~ element(X1,the_carrier(X0))
| ~ in(X2,the_carrier(X3))
| ~ in(X1,the_carrier(X3))
| ~ related(X0,X1,X2) ),
inference(cnf_transformation,[],[f4861]) ).
tcf(c_696,plain,
! [X0: $i,X1: $i] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f3051]) ).
tcf(c_907,plain,
! [X0: $i] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f3263]) ).
tcf(c_908,plain,
! [X0: $i] :
( empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(cnf_transformation,[],[f3265]) ).
tcf(c_1004,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f3361]) ).
tcf(c_1395,plain,
! [X0: $i,X1: $i] :
( rel_str(X0)
| ~ one_sorted_str(X1)
| ~ net_str(X0,X1) ),
inference(cnf_transformation,[],[f3752]) ).
tcf(c_1397,plain,
! [X0: $i,X1: $i,X2: $i] :
( net_str(X0,X1)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ subnetstr(X0,X1,X2) ),
inference(cnf_transformation,[],[f3754]) ).
tcf(c_1513,plain,
! [X0: $i,X1: $i,X2: $i] :
( full_subrelstr(X0,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ full_subnetstr(X0,X1,X2)
| ~ subnetstr(X0,X1,X2) ),
inference(cnf_transformation,[],[f3872]) ).
tcf(c_1514,plain,
! [X0: $i,X1: $i,X2: $i] :
( subrelstr(X0,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ full_subnetstr(X0,X1,X2)
| ~ subnetstr(X0,X1,X2) ),
inference(cnf_transformation,[],[f3871]) ).
tcf(c_1959,plain,
! [X0: $i,X1: $i,X2: $i] :
( subrelstr(X0,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ net_str(X0,X1)
| ~ subnetstr(X0,X1,X2) ),
inference(cnf_transformation,[],[f4333]) ).
tcf(c_3351,plain,
! [X0: $i,X1: $i,X2: $i] :
( subrelstr(X0,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ subnetstr(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_1959,c_1397,c_1959]) ).
tcf(c_3359,plain,
! [X0: $i,X1: $i,X2: $i] :
( subrelstr(X0,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ subnetstr(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_1514,c_3351]) ).
tcf(c_3581,plain,
! [X0: $i,X1: $i] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_696]) ).
tcf(c_8782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( related(X3,X1,X2)
| ~ rel_str(X0)
| ~ full_subrelstr(X3,X0)
| ~ subrelstr(X3,X0)
| ~ element(X2,the_carrier(X3))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ in(X2,the_carrier(X3))
| ~ in(X1,the_carrier(X3))
| ~ related(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_634,c_3581]) ).
tcf(c_19290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( related(X3,X1,X2)
| ~ rel_str(X0)
| ~ full_subrelstr(X3,X0)
| ~ subrelstr(X3,X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ in(X2,the_carrier(X3))
| ~ in(X1,the_carrier(X3))
| ~ related(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8782,c_3581]) ).
tcf(c_31330,plain,
! [X0: $i,X1: $i,X2: $i] :
( full_subrelstr(X0,X1)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ subnetstr(X0,X2,X1)
| ( X2 != sK184 )
| ( X1 != sK185 )
| ( X0 != sK186 ) ),
inference(resolution_lifted,[status(thm)],[c_451,c_1513]) ).
tcf(c_31331,plain,
( full_subrelstr(sK186,sK185)
| ~ one_sorted_str(sK184)
| ~ net_str(sK185,sK184)
| ~ subnetstr(sK186,sK184,sK185) ),
inference(unflattening,[status(thm)],[c_31330]) ).
tcf(c_31332,plain,
full_subrelstr(sK186,sK185),
inference(global_subsumption_just,[status(thm)],[c_31331,c_455,c_454,c_452,c_31331]) ).
tcf(c_32445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( related(X1,X2,X3)
| ~ rel_str(X0)
| ~ subrelstr(X1,X0)
| ~ element(X3,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ in(X3,the_carrier(X1))
| ~ in(X2,the_carrier(X1))
| ~ related(X0,X2,X3)
| ( X1 != sK186 )
| ( X0 != sK185 ) ),
inference(resolution_lifted,[status(thm)],[c_19290,c_31332]) ).
tcf(c_32446,plain,
! [X0: $i,X1: $i] :
( related(sK186,X0,X1)
| ~ rel_str(sK185)
| ~ subrelstr(sK186,sK185)
| ~ element(X1,the_carrier(sK185))
| ~ element(X0,the_carrier(sK185))
| ~ in(X1,the_carrier(sK186))
| ~ in(X0,the_carrier(sK186))
| ~ related(sK185,X0,X1) ),
inference(unflattening,[status(thm)],[c_32445]) ).
tcf(c_36468,plain,
! [X0: $i,X1: $i,X2: $i] :
( subrelstr(X0,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ( X2 != sK185 )
| ( X1 != sK184 )
| ( X0 != sK186 ) ),
inference(resolution_lifted,[status(thm)],[c_3359,c_452]) ).
tcf(c_36469,plain,
( subrelstr(sK186,sK185)
| ~ one_sorted_str(sK184)
| ~ net_str(sK185,sK184) ),
inference(unflattening,[status(thm)],[c_36468]) ).
tcf(c_36470,plain,
subrelstr(sK186,sK185),
inference(global_subsumption_just,[status(thm)],[c_36469,c_455,c_454,c_36469]) ).
tcf(c_36475,plain,
! [X0: $i,X1: $i,X2: $i] :
( net_str(X0,X1)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ( X2 != sK185 )
| ( X1 != sK184 )
| ( X0 != sK186 ) ),
inference(resolution_lifted,[status(thm)],[c_1397,c_452]) ).
tcf(c_36476,plain,
( net_str(sK186,sK184)
| ~ one_sorted_str(sK184)
| ~ net_str(sK185,sK184) ),
inference(unflattening,[status(thm)],[c_36475]) ).
tcf(c_36652,plain,
! [X0: $i,X1: $i] :
( related(sK186,X0,X1)
| ~ rel_str(sK185)
| ~ element(X1,the_carrier(sK185))
| ~ element(X0,the_carrier(sK185))
| ~ in(X1,the_carrier(sK186))
| ~ in(X0,the_carrier(sK186))
| ~ related(sK185,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_32446,c_36470]) ).
tcf(c_207334,plain,
( related(sK186,sK189,sK190)
| ~ rel_str(sK185)
| ~ element(sK190,the_carrier(sK185))
| ~ element(sK189,the_carrier(sK185))
| ~ in(sK190,the_carrier(sK186))
| ~ in(sK189,the_carrier(sK186)) ),
inference(superposition,[status(thm)],[c_445,c_36652]) ).
tcf(c_207335,plain,
( ~ rel_str(sK185)
| ~ in(sK190,the_carrier(sK186))
| ~ in(sK189,the_carrier(sK186)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207334,c_444,c_448,c_449]) ).
tcf(c_214196,plain,
( empty(the_carrier(sK186))
| in(sK190,the_carrier(sK186)) ),
inference(superposition,[status(thm)],[c_446,c_1004]) ).
tcf(c_214197,plain,
( empty(the_carrier(sK186))
| in(sK189,the_carrier(sK186)) ),
inference(superposition,[status(thm)],[c_447,c_1004]) ).
tcf(c_214584,plain,
( empty(the_carrier(sK186))
| ~ rel_str(sK185)
| ~ in(sK190,the_carrier(sK186)) ),
inference(superposition,[status(thm)],[c_214197,c_207335]) ).
tcf(c_215472,plain,
( empty(the_carrier(sK186))
| ~ rel_str(sK185) ),
inference(global_subsumption_just,[status(thm)],[c_214584,c_214196,c_214584]) ).
tcf(c_215490,plain,
( empty_carrier(sK186)
| ~ rel_str(sK185)
| ~ one_sorted_str(sK186) ),
inference(superposition,[status(thm)],[c_215472,c_908]) ).
tcf(c_215519,plain,
( ~ rel_str(sK185)
| ~ one_sorted_str(sK186) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215490,c_450]) ).
tcf(c_216068,plain,
( rel_str(sK185)
| ~ one_sorted_str(sK184) ),
inference(superposition,[status(thm)],[c_454,c_1395]) ).
tcf(c_216070,plain,
rel_str(sK185),
inference(forward_subsumption_resolution,[status(thm)],[c_216068,c_455]) ).
tcf(c_217238,plain,
! [X0: $i] :
( rel_str(X0)
| ~ one_sorted_str(sK184)
| ~ net_str(X0,sK184) ),
inference(instantiation,[status(thm)],[c_1395]) ).
tcf(c_249266,plain,
( rel_str(sK186)
| ~ one_sorted_str(sK184)
| ~ net_str(sK186,sK184) ),
inference(instantiation,[status(thm)],[c_217238]) ).
tcf(c_262930,plain,
( one_sorted_str(sK186)
| ~ rel_str(sK186) ),
inference(instantiation,[status(thm)],[c_907]) ).
tcf(c_262931,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_262930,c_249266,c_216070,c_215519,c_36476,c_454,c_455]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU375+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 13:55:18 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 75.44/19.98 % SZS status Started for theBenchmark.p
% 75.44/19.98 % SZS status Theorem for theBenchmark.p
% 75.44/19.98
% 75.44/19.98 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 75.44/19.98
% 75.44/19.98 % ------ iProver source info
% 75.44/19.98
% 75.44/19.98 % git: date: 2026-07-19 20:42:38 +0200
% 75.44/19.98 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 75.44/19.98 % git: non_committed_changes: false
% 75.44/19.98
% 75.44/19.98 % ------ Parsing...
% 75.44/19.98 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 75.44/19.98
% 75.44/19.98 % ------ Preprocessing... sup_sim: 119 sf_s rm: 76 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 29 sf_s rm: 29 0s sf_e pe_s pe_e %
% 75.44/19.98
% 75.44/19.98 % ------ Preprocessing... gs_s sp: 18 0s gs_e snvd_s sp: 0 0s snvd_e %
% 75.44/19.98
% 75.44/19.98 % ------ Preprocessing... sf_s rm: 7 0s sf_e sf_s rm: 0 0s sf_e
% 75.44/19.98 % ------ Proving...
% 75.44/19.98 % ------ Problem Properties
% 75.44/19.98
% 75.44/19.98 %
% 75.44/19.98 % clauses 1696
% 75.44/19.98 % conjectures 11
% 75.44/19.98 % EPR 244
% 75.44/19.98 % Horn 1229
% 75.44/19.98 % unary 254
% 75.44/19.98 % binary 432
% 75.44/19.98 % lits 5425
% 75.44/19.98 % lits eq 646
% 75.44/19.98 % fd_pure 0
% 75.44/19.98 % fd_pseudo 0
% 75.44/19.98 % fd_cond 46
% 75.44/19.98 % fd_pseudo_cond 142
% 75.44/19.98 % AC symbols 0
% 75.44/19.98
% 75.44/19.98 % ------ Schedule dynamic 5 is on
% 75.44/19.98
% 75.44/19.98 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 75.44/19.98
% 75.44/19.98
% 75.44/19.98 % ------
% 75.44/19.98 % Current options:
% 75.44/19.98 % ------
% 75.44/19.98
% 75.44/19.98
% 75.44/19.98 %
% 75.44/19.98
% 75.44/19.98 % ------ Proving...
% 75.44/19.98 %
% 75.44/19.98
% 75.44/19.98 % SZS status Theorem for theBenchmark.p
% 75.44/19.98
% 75.44/19.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 75.44/19.98
% 75.44/19.98
%------------------------------------------------------------------------------