%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU375+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.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 0.45s 1.28s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 115 ( 43 unt; 2 def)
% Number of atoms : 468 ( 36 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 583 ( 254 ~; 232 |; 61 &)
% ( 2 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 169 ( 0 sgn 155 !; 14 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,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/sandbox2/benchmark/theBenchmark.p',d9_yellow_6) ).
fof(f9,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f11,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f13,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(f23,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f34,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f35,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/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).
fof(f36,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)],[f35]) ).
fof(f37,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f38,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/sandbox2/benchmark/theBenchmark.p',t61_yellow_0) ).
fof(f55,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,[],[f7]) ).
fof(f56,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f57,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| rel_str(X1) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f58,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ~ subrelstr(X1,X0)
| rel_str(X1) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f65,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ empty(the_carrier(X0)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f66,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ empty(the_carrier(X0)) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f68,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,[],[f36]) ).
fof(f69,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,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f71,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(flattening,[],[f70]) ).
fof(f72,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,[],[f38]) ).
fof(f73,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,[],[f72]) ).
fof(f77,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,[],[f55]) ).
fof(f78,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,[],[f77]) ).
fof(f94,plain,
( one_sorted_str(sK15)
& net_str(sK16,sK15)
& ~ empty_carrier(sK16)
& subnetstr(sK17,sK15,sK16)
& full_subnetstr(sK17,sK15,sK16)
& ~ empty_carrier(sK17)
& element(sK18,the_carrier(sK16))
& element(sK19,the_carrier(sK16))
& element(sK20,the_carrier(sK17))
& element(sK21,the_carrier(sK17))
& related(sK16,sK18,sK19)
& sK19 = sK21
& sK18 = sK20
& ~ related(sK17,sK20,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19,sK20,sK21]),skolemize(X0,sK15),skolemize(X1,sK16),skolemize(X2,sK17),skolemize(X3,sK18),skolemize(X4,sK19),skolemize(X5,sK20),skolemize(X6,sK21)],[f69]) ).
fof(f100,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,[],[f78]) ).
fof(f101,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,[],[f78]) ).
fof(f103,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f104,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| rel_str(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f105,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ subrelstr(X1,X0)
| rel_str(X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f115,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ empty(the_carrier(X0)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f136,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f137,plain,
one_sorted_str(sK15),
inference(cnf_transformation,[],[f94]) ).
fof(f138,plain,
net_str(sK16,sK15),
inference(cnf_transformation,[],[f94]) ).
fof(f140,plain,
subnetstr(sK17,sK15,sK16),
inference(cnf_transformation,[],[f94]) ).
fof(f141,plain,
full_subnetstr(sK17,sK15,sK16),
inference(cnf_transformation,[],[f94]) ).
fof(f142,plain,
~ empty_carrier(sK17),
inference(cnf_transformation,[],[f94]) ).
fof(f143,plain,
element(sK18,the_carrier(sK16)),
inference(cnf_transformation,[],[f94]) ).
fof(f144,plain,
element(sK19,the_carrier(sK16)),
inference(cnf_transformation,[],[f94]) ).
fof(f145,plain,
element(sK20,the_carrier(sK17)),
inference(cnf_transformation,[],[f94]) ).
fof(f146,plain,
element(sK21,the_carrier(sK17)),
inference(cnf_transformation,[],[f94]) ).
fof(f147,plain,
related(sK16,sK18,sK19),
inference(cnf_transformation,[],[f94]) ).
fof(f148,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f94]) ).
fof(f149,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f94]) ).
fof(f150,plain,
~ related(sK17,sK20,sK21),
inference(cnf_transformation,[],[f94]) ).
fof(f151,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f152,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,[],[f73]) ).
fof(f156,plain,
related(sK16,sK20,sK21),
inference(definition_unfolding,[],[f147,f149,f148]) ).
fof(f157,plain,
element(sK21,the_carrier(sK16)),
inference(definition_unfolding,[],[f144,f148]) ).
fof(f158,plain,
element(sK20,the_carrier(sK16)),
inference(definition_unfolding,[],[f143,f149]) ).
fof(f159,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,[],[f152]) ).
fof(f160,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,[],[f159]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( full_subrelstr(X0,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ subnetstr(X0,X1,X2)
| ~ full_subnetstr(X0,X1,X2) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( subrelstr(X0,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ subnetstr(X0,X1,X2)
| ~ full_subnetstr(X0,X1,X2) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_55,plain,
! [X0: $i] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( rel_str(X0)
| ~ one_sorted_str(X1)
| ~ net_str(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( rel_str(X0)
| ~ rel_str(X1)
| ~ subrelstr(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_67,plain,
! [X0: $i] :
( empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_89,negated_conjecture,
~ related(sK17,sK20,sK21),
inference(cnf_transformation,[],[f150]) ).
tcf(c_90,negated_conjecture,
related(sK16,sK20,sK21),
inference(cnf_transformation,[],[f156]) ).
tcf(c_91,negated_conjecture,
element(sK21,the_carrier(sK17)),
inference(cnf_transformation,[],[f146]) ).
tcf(c_92,negated_conjecture,
element(sK20,the_carrier(sK17)),
inference(cnf_transformation,[],[f145]) ).
tcf(c_93,negated_conjecture,
element(sK21,the_carrier(sK16)),
inference(cnf_transformation,[],[f157]) ).
tcf(c_94,negated_conjecture,
element(sK20,the_carrier(sK16)),
inference(cnf_transformation,[],[f158]) ).
tcf(c_95,negated_conjecture,
~ empty_carrier(sK17),
inference(cnf_transformation,[],[f142]) ).
tcf(c_96,negated_conjecture,
full_subnetstr(sK17,sK15,sK16),
inference(cnf_transformation,[],[f141]) ).
tcf(c_97,negated_conjecture,
subnetstr(sK17,sK15,sK16),
inference(cnf_transformation,[],[f140]) ).
tcf(c_99,negated_conjecture,
net_str(sK16,sK15),
inference(cnf_transformation,[],[f138]) ).
tcf(c_100,negated_conjecture,
one_sorted_str(sK15),
inference(cnf_transformation,[],[f137]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( related(X3,X1,X2)
| ~ rel_str(X0)
| ~ subrelstr(X3,X0)
| ~ full_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,[],[f160]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( related(X3,X1,X2)
| ~ rel_str(X0)
| ~ subrelstr(X3,X0)
| ~ full_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_102,c_88]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( related(X3,X1,X2)
| ~ rel_str(X0)
| ~ subrelstr(X3,X0)
| ~ full_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_218,c_88]) ).
tcf(c_497,plain,
! [X0: $i] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| ( X0 != sK17 ) ),
inference(resolution_lifted,[status(thm)],[c_67,c_95]) ).
tcf(c_498,plain,
( ~ one_sorted_str(sK17)
| ~ empty(the_carrier(sK17)) ),
inference(unflattening,[status(thm)],[c_497]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i,X2: $i] :
( subrelstr(X0,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ subnetstr(X0,X1,X2)
| ( X2 != sK16 )
| ( X1 != sK15 )
| ( X0 != sK17 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_96]) ).
tcf(c_606,plain,
( subrelstr(sK17,sK16)
| ~ one_sorted_str(sK15)
| ~ net_str(sK16,sK15)
| ~ subnetstr(sK17,sK15,sK16) ),
inference(unflattening,[status(thm)],[c_605]) ).
tcf(c_607,plain,
subrelstr(sK17,sK16),
inference(global_subsumption_just,[status(thm)],[c_606,c_100,c_99,c_97,c_606]) ).
tcf(c_612,plain,
! [X0: $i,X1: $i,X2: $i] :
( full_subrelstr(X0,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ subnetstr(X0,X1,X2)
| ( X2 != sK16 )
| ( X1 != sK15 )
| ( X0 != sK17 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_96]) ).
tcf(c_613,plain,
( full_subrelstr(sK17,sK16)
| ~ one_sorted_str(sK15)
| ~ net_str(sK16,sK15)
| ~ subnetstr(sK17,sK15,sK16) ),
inference(unflattening,[status(thm)],[c_612]) ).
tcf(c_614,plain,
full_subrelstr(sK17,sK16),
inference(global_subsumption_just,[status(thm)],[c_613,c_100,c_99,c_97,c_613]) ).
tcf(c_621,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 != sK17 )
| ( X0 != sK16 ) ),
inference(resolution_lifted,[status(thm)],[c_317,c_614]) ).
tcf(c_622,plain,
! [X0: $i,X1: $i] :
( related(sK17,X0,X1)
| ~ rel_str(sK16)
| ~ subrelstr(sK17,sK16)
| ~ element(X1,the_carrier(sK16))
| ~ element(X0,the_carrier(sK16))
| ~ in(X1,the_carrier(sK17))
| ~ in(X0,the_carrier(sK17))
| ~ related(sK16,X0,X1) ),
inference(unflattening,[status(thm)],[c_621]) ).
tcf(c_624,plain,
! [X0: $i,X1: $i] :
( related(sK17,X0,X1)
| ~ rel_str(sK16)
| ~ related(sK16,X0,X1)
| ~ in(X0,the_carrier(sK17))
| ~ in(X1,the_carrier(sK17))
| ~ element(X0,the_carrier(sK16))
| ~ element(X1,the_carrier(sK16)) ),
inference(global_subsumption_just,[status(thm)],[c_622,c_100,c_99,c_97,c_606,c_622]) ).
tcf(c_625,plain,
! [X0: $i,X1: $i] :
( related(sK17,X0,X1)
| ~ rel_str(sK16)
| ~ element(X1,the_carrier(sK16))
| ~ element(X0,the_carrier(sK16))
| ~ in(X1,the_carrier(sK17))
| ~ in(X0,the_carrier(sK17))
| ~ related(sK16,X0,X1) ),
inference(renaming,[status(thm)],[c_624]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i] :
( rel_str(X0)
| ~ rel_str(X1)
| ( X1 != sK16 )
| ( X0 != sK17 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_607]) ).
tcf(c_665,plain,
( rel_str(sK17)
| ~ rel_str(sK16) ),
inference(unflattening,[status(thm)],[c_664]) ).
tcf(c_776,plain,
! [X0: $i,X1: $i] :
( rel_str(X1)
| ~ net_str(X1,X0)
| ( X0 != sK15 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_100]) ).
tcf(c_777,plain,
! [X0: $i] :
( rel_str(X0)
| ~ net_str(X0,sK15) ),
inference(unflattening,[status(thm)],[c_776]) ).
tcf(c_778,plain,
( rel_str(sK16)
| ~ net_str(sK16,sK15) ),
inference(instantiation,[status(thm)],[c_777]) ).
tcf(c_807,plain,
! [X0: $i] :
( ~ rel_str(X0)
| ~ empty(the_carrier(sK17))
| ( X0 != sK17 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_498]) ).
tcf(c_808,plain,
( ~ rel_str(sK17)
| ~ empty(the_carrier(sK17)) ),
inference(unflattening,[status(thm)],[c_807]) ).
tcf(c_809,plain,
~ empty(the_carrier(sK17)),
inference(global_subsumption_just,[status(thm)],[c_808,c_99,c_665,c_778,c_808]) ).
tcf(c_963,plain,
! [X0: $i,X1: $i] :
( related(sK17,X0,X1)
| ~ related(sK16,X0,X1)
| ~ in(X0,the_carrier(sK17))
| ~ in(X1,the_carrier(sK17))
| ~ element(X0,the_carrier(sK16))
| ~ element(X1,the_carrier(sK16)) ),
inference(global_subsumption_just,[status(thm)],[c_625,c_99,c_625,c_778]) ).
tcf(c_964,plain,
! [X0: $i,X1: $i] :
( related(sK17,X0,X1)
| ~ element(X1,the_carrier(sK16))
| ~ element(X0,the_carrier(sK16))
| ~ in(X1,the_carrier(sK17))
| ~ in(X0,the_carrier(sK17))
| ~ related(sK16,X0,X1) ),
inference(renaming,[status(thm)],[c_963]) ).
tcf(c_1259,definition,
iPr_def_10 = the_carrier(sK17),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1260,definition,
iPr_def_11 = the_carrier(sK16),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1261,plain,
! [X0: $i,X1: $i] :
( related(sK17,X0,X1)
| ~ element(X1,iPr_def_11)
| ~ element(X0,iPr_def_11)
| ~ in(X1,iPr_def_10)
| ~ in(X0,iPr_def_10)
| ~ related(sK16,X0,X1) ),
inference(demodulation,[status(thm)],[c_964,c_1260,c_1259]) ).
tcf(c_1262,plain,
~ empty(iPr_def_10),
inference(demodulation,[status(thm)],[c_809]) ).
tcf(c_1264,negated_conjecture,
element(sK20,iPr_def_11),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_1265,negated_conjecture,
element(sK21,iPr_def_11),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_1266,negated_conjecture,
element(sK20,iPr_def_10),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_1267,negated_conjecture,
element(sK21,iPr_def_10),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_1268,negated_conjecture,
related(sK16,sK20,sK21),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_1269,negated_conjecture,
~ related(sK17,sK20,sK21),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_1526,plain,
( related(sK17,sK20,sK21)
| ~ element(sK21,iPr_def_11)
| ~ element(sK20,iPr_def_11)
| ~ in(sK21,iPr_def_10)
| ~ in(sK20,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1268,c_1261]) ).
tcf(c_1527,plain,
( ~ in(sK21,iPr_def_10)
| ~ in(sK20,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1526,c_1269,c_1265,c_1264]) ).
tcf(c_1560,plain,
( empty(iPr_def_10)
| in(sK20,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1266,c_101]) ).
tcf(c_1561,plain,
( empty(iPr_def_10)
| in(sK21,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1267,c_101]) ).
tcf(c_1562,plain,
in(sK21,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_1561,c_1262]) ).
tcf(c_1563,plain,
in(sK20,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_1560,c_1262]) ).
tcf(c_1568,plain,
~ in(sK20,iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_1527,c_1562]) ).
tcf(c_1569,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1568,c_1563]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU375+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 13:53:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 0.45/1.28 % SZS status Started for theBenchmark.p
% 0.45/1.28 % SZS status Theorem for theBenchmark.p
% 0.45/1.28
% 0.45/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.45/1.28
% 0.45/1.28 % ------ iProver source info
% 0.45/1.28
% 0.45/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 0.45/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.45/1.28 % git: non_committed_changes: false
% 0.45/1.28
% 0.45/1.28 % ------ Parsing...
% 0.45/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.45/1.28
% 0.45/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 19 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 22 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe_e %
% 0.45/1.28
% 0.45/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.45/1.28
% 0.45/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.45/1.28 % ------ Proving...
% 0.45/1.28 % ------ Problem Properties
% 0.45/1.28
% 0.45/1.28 %
% 0.45/1.28 % clauses 23
% 0.45/1.28 % conjectures 6
% 0.45/1.28 % EPR 19
% 0.45/1.28 % Horn 22
% 0.45/1.28 % unary 16
% 0.45/1.28 % binary 4
% 0.45/1.29 % lits 36
% 0.45/1.29 % lits eq 4
% 0.45/1.29 % fd_pure 0
% 0.45/1.29 % fd_pseudo 0
% 0.45/1.29 % fd_cond 1
% 0.45/1.29 % fd_pseudo_cond 1
% 0.45/1.29 % AC symbols 0
% 0.45/1.29
% 0.45/1.29 % ------ Schedule dynamic 5 is on
% 0.45/1.29
% 0.45/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.45/1.29
% 0.45/1.29
% 0.45/1.29 % ------
% 0.45/1.29 % Current options:
% 0.45/1.29 % ------
% 0.45/1.29
% 0.45/1.29
% 0.45/1.29 %
% 0.45/1.29
% 0.45/1.29 % ------ Proving...
% 0.45/1.29 %
% 0.45/1.29
% 0.45/1.29 % SZS status Theorem for theBenchmark.p
% 0.45/1.29
% 0.45/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.29
% 0.45/1.29
%------------------------------------------------------------------------------