%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU375+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 : Tue Sep 29 12:48:36 PM UTC 2026
% Result : Theorem 1.40s 1.14s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 90 ( 26 unt; 0 def)
% Number of atoms : 368 ( 21 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 485 ( 207 ~; 179 |; 63 &)
% ( 2 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 133 ( 119 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> ( full_subnetstr(X2,X0,X1)
<=> ( full_subrelstr(X2,X1)
& subrelstr(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_yellow_6) ).
fof(f9,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f14,axiom,
! [X0,X1] :
( ( one_sorted_str(X0)
& net_str(X1,X0) )
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> net_str(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
fof(f23,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f34,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f35,conjecture,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& full_subnetstr(X2,X0,X1)
& subnetstr(X2,X0,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X3 = X5
& X4 = X6
& related(X1,X3,X4) )
=> related(X2,X5,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_yellow_6) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& full_subnetstr(X2,X0,X1)
& subnetstr(X2,X0,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X3 = X5
& X4 = X6
& related(X1,X3,X4) )
=> related(X2,X5,X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f38,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ( full_subrelstr(X1,X0)
& 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))
=> ( ( X4 = X2
& X5 = X3
& related(X0,X2,X3)
& in(X4,the_carrier(X1))
& in(X5,the_carrier(X1)) )
=> related(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_yellow_0) ).
fof(f40,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f42,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& X3 = X5
& X4 = X6
& related(X1,X3,X4)
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& ~ empty_carrier(X2)
& full_subnetstr(X2,X0,X1)
& subnetstr(X2,X0,X1) )
& ~ empty_carrier(X1)
& net_str(X1,X0) )
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f43,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& X3 = X5
& X4 = X6
& related(X1,X3,X4)
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& ~ empty_carrier(X2)
& full_subnetstr(X2,X0,X1)
& subnetstr(X2,X0,X1) )
& ~ empty_carrier(X1)
& net_str(X1,X0) )
& one_sorted_str(X0) ),
inference(flattening,[],[f42]) ).
fof(f45,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f46,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f45]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f51,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f52,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( full_subnetstr(X2,X0,X1)
<=> ( full_subrelstr(X2,X1)
& subrelstr(X2,X1) ) )
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f54,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f55,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( related(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ related(X0,X2,X3)
| ~ in(X4,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ element(X5,the_carrier(X1)) )
| ~ element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ full_subrelstr(X1,X0)
| ~ subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( related(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ related(X0,X2,X3)
| ~ in(X4,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ element(X5,the_carrier(X1)) )
| ~ element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ full_subrelstr(X1,X0)
| ~ subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f62,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f64,plain,
( ~ related(sK2,sK5,sK6)
& sK3 = sK5
& sK4 = sK6
& related(sK1,sK3,sK4)
& element(sK6,the_carrier(sK2))
& element(sK5,the_carrier(sK2))
& element(sK4,the_carrier(sK1))
& element(sK3,the_carrier(sK1))
& ~ empty_carrier(sK2)
& full_subnetstr(sK2,sK0,sK1)
& subnetstr(sK2,sK0,sK1)
& ~ empty_carrier(sK1)
& net_str(sK1,sK0)
& one_sorted_str(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f43]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( full_subnetstr(X2,X0,X1)
| ~ full_subrelstr(X2,X1)
| ~ subrelstr(X2,X1) )
& ( ( full_subrelstr(X2,X1)
& subrelstr(X2,X1) )
| ~ full_subnetstr(X2,X0,X1) ) )
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(nnf_transformation,[],[f53]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( full_subnetstr(X2,X0,X1)
| ~ full_subrelstr(X2,X1)
| ~ subrelstr(X2,X1) )
& ( ( full_subrelstr(X2,X1)
& subrelstr(X2,X1) )
| ~ full_subnetstr(X2,X0,X1) ) )
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f69]) ).
fof(f74,plain,
one_sorted_str(sK0),
inference(cnf_transformation,[],[f64]) ).
fof(f75,plain,
net_str(sK1,sK0),
inference(cnf_transformation,[],[f64]) ).
fof(f77,plain,
subnetstr(sK2,sK0,sK1),
inference(cnf_transformation,[],[f64]) ).
fof(f78,plain,
full_subnetstr(sK2,sK0,sK1),
inference(cnf_transformation,[],[f64]) ).
fof(f79,plain,
~ empty_carrier(sK2),
inference(cnf_transformation,[],[f64]) ).
fof(f80,plain,
element(sK3,the_carrier(sK1)),
inference(cnf_transformation,[],[f64]) ).
fof(f81,plain,
element(sK4,the_carrier(sK1)),
inference(cnf_transformation,[],[f64]) ).
fof(f82,plain,
element(sK5,the_carrier(sK2)),
inference(cnf_transformation,[],[f64]) ).
fof(f83,plain,
element(sK6,the_carrier(sK2)),
inference(cnf_transformation,[],[f64]) ).
fof(f84,plain,
related(sK1,sK3,sK4),
inference(cnf_transformation,[],[f64]) ).
fof(f85,plain,
sK4 = sK6,
inference(cnf_transformation,[],[f64]) ).
fof(f86,plain,
sK3 = sK5,
inference(cnf_transformation,[],[f64]) ).
fof(f87,plain,
~ related(sK2,sK5,sK6),
inference(cnf_transformation,[],[f64]) ).
fof(f89,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f94,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| rel_str(X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ subnetstr(X2,X0,X1)
| net_str(X2,X0)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ full_subnetstr(X2,X0,X1)
| subrelstr(X2,X1)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ full_subnetstr(X2,X0,X1)
| full_subrelstr(X2,X1)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f100,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f101,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f103,plain,
! [X2,X3,X0,X1,X4,X5] :
( related(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ related(X0,X2,X3)
| ~ in(X4,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ full_subrelstr(X1,X0)
| ~ subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f105,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f108,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f110,plain,
related(sK1,sK5,sK6),
inference(definition_unfolding,[],[f84,f86,f85]) ).
fof(f111,plain,
element(sK6,the_carrier(sK1)),
inference(definition_unfolding,[],[f81,f85]) ).
fof(f112,plain,
element(sK5,the_carrier(sK1)),
inference(definition_unfolding,[],[f80,f86]) ).
fof(f113,plain,
! [X3,X0,X1,X4,X5] :
( related(X1,X4,X5)
| X3 != X5
| ~ related(X0,X4,X3)
| ~ in(X4,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ full_subrelstr(X1,X0)
| ~ subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f103]) ).
fof(f114,plain,
! [X0,X1,X4,X5] :
( related(X1,X4,X5)
| ~ related(X0,X4,X5)
| ~ in(X4,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ full_subrelstr(X1,X0)
| ~ subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f113]) ).
fof(f116,plain,
( rel_str(sK1)
| ~ one_sorted_str(sK0) ),
inference(resolution,[],[f94,f75]) ).
fof(f119,plain,
rel_str(sK1),
inference(forward_subsumption_resolution,[],[f116,f74]) ).
fof(f134,plain,
( net_str(sK2,sK0)
| ~ one_sorted_str(sK0)
| ~ net_str(sK1,sK0) ),
inference(resolution,[],[f96,f77]) ).
fof(f137,plain,
( net_str(sK2,sK0)
| ~ net_str(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f134,f74]) ).
fof(f138,plain,
net_str(sK2,sK0),
inference(forward_subsumption_resolution,[],[f137,f75]) ).
fof(f139,plain,
( rel_str(sK2)
| ~ one_sorted_str(sK0) ),
inference(resolution,[],[f138,f94]) ).
fof(f140,plain,
rel_str(sK2),
inference(forward_subsumption_resolution,[],[f139,f74]) ).
fof(f141,plain,
( subrelstr(sK2,sK1)
| ~ subnetstr(sK2,sK0,sK1)
| ~ net_str(sK1,sK0)
| ~ one_sorted_str(sK0) ),
inference(resolution,[],[f97,f78]) ).
fof(f142,plain,
( subrelstr(sK2,sK1)
| ~ net_str(sK1,sK0)
| ~ one_sorted_str(sK0) ),
inference(forward_subsumption_resolution,[],[f141,f77]) ).
fof(f143,plain,
( subrelstr(sK2,sK1)
| ~ one_sorted_str(sK0) ),
inference(forward_subsumption_resolution,[],[f142,f75]) ).
fof(f144,plain,
subrelstr(sK2,sK1),
inference(forward_subsumption_resolution,[],[f143,f74]) ).
fof(f146,plain,
( full_subrelstr(sK2,sK1)
| ~ subnetstr(sK2,sK0,sK1)
| ~ net_str(sK1,sK0)
| ~ one_sorted_str(sK0) ),
inference(resolution,[],[f98,f78]) ).
fof(f147,plain,
( full_subrelstr(sK2,sK1)
| ~ net_str(sK1,sK0)
| ~ one_sorted_str(sK0) ),
inference(forward_subsumption_resolution,[],[f146,f77]) ).
fof(f148,plain,
( full_subrelstr(sK2,sK1)
| ~ one_sorted_str(sK0) ),
inference(forward_subsumption_resolution,[],[f147,f75]) ).
fof(f149,plain,
full_subrelstr(sK2,sK1),
inference(forward_subsumption_resolution,[],[f148,f74]) ).
fof(f156,plain,
! [X0,X1,X4,X5] :
( related(X1,X4,X5)
| ~ related(X0,X4,X5)
| ~ in(X4,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ full_subrelstr(X1,X0)
| ~ subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(forward_subsumption_resolution,[],[f114,f101]) ).
fof(f157,plain,
! [X0,X1,X4,X5] :
( related(X1,X4,X5)
| ~ related(X0,X4,X5)
| ~ in(X4,the_carrier(X1))
| ~ in(X5,the_carrier(X1))
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ full_subrelstr(X1,X0)
| ~ subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(forward_subsumption_resolution,[],[f156,f101]) ).
fof(f159,plain,
! [X0] :
( ~ related(X0,sK5,sK6)
| ~ in(sK5,the_carrier(sK2))
| ~ in(sK6,the_carrier(sK2))
| ~ element(sK6,the_carrier(X0))
| ~ element(sK5,the_carrier(X0))
| ~ full_subrelstr(sK2,X0)
| ~ subrelstr(sK2,X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f157,f87]) ).
fof(f164,plain,
( ~ in(sK5,the_carrier(sK2))
| ~ in(sK6,the_carrier(sK2))
| ~ element(sK6,the_carrier(sK1))
| ~ element(sK5,the_carrier(sK1))
| ~ full_subrelstr(sK2,sK1)
| ~ subrelstr(sK2,sK1)
| ~ rel_str(sK1) ),
inference(resolution,[],[f159,f110]) ).
fof(f167,plain,
( ~ in(sK5,the_carrier(sK2))
| ~ in(sK6,the_carrier(sK2))
| ~ element(sK5,the_carrier(sK1))
| ~ full_subrelstr(sK2,sK1)
| ~ subrelstr(sK2,sK1)
| ~ rel_str(sK1) ),
inference(forward_subsumption_resolution,[],[f164,f111]) ).
fof(f169,plain,
( ~ in(sK5,the_carrier(sK2))
| ~ in(sK6,the_carrier(sK2))
| ~ full_subrelstr(sK2,sK1)
| ~ subrelstr(sK2,sK1)
| ~ rel_str(sK1) ),
inference(forward_subsumption_resolution,[],[f167,f112]) ).
fof(f171,plain,
( ~ in(sK5,the_carrier(sK2))
| ~ in(sK6,the_carrier(sK2))
| ~ subrelstr(sK2,sK1)
| ~ rel_str(sK1) ),
inference(forward_subsumption_resolution,[],[f169,f149]) ).
fof(f172,plain,
( ~ in(sK5,the_carrier(sK2))
| ~ in(sK6,the_carrier(sK2))
| ~ rel_str(sK1) ),
inference(forward_subsumption_resolution,[],[f171,f144]) ).
fof(f173,plain,
( ~ in(sK6,the_carrier(sK2))
| ~ in(sK5,the_carrier(sK2)) ),
inference(forward_subsumption_resolution,[],[f172,f119]) ).
fof(f174,plain,
( ~ in(sK5,the_carrier(sK2))
| empty(the_carrier(sK2))
| ~ element(sK6,the_carrier(sK2)) ),
inference(resolution,[],[f173,f100]) ).
fof(f175,plain,
( ~ in(sK5,the_carrier(sK2))
| ~ element(sK6,the_carrier(sK2)) ),
inference(forward_subsumption_resolution,[],[f174,f108]) ).
fof(f176,plain,
~ in(sK5,the_carrier(sK2)),
inference(forward_subsumption_resolution,[],[f175,f83]) ).
fof(f179,plain,
( empty(the_carrier(sK2))
| ~ element(sK5,the_carrier(sK2)) ),
inference(resolution,[],[f176,f100]) ).
fof(f180,plain,
empty(the_carrier(sK2)),
inference(forward_subsumption_resolution,[],[f179,f82]) ).
fof(f181,plain,
( empty_carrier(sK2)
| ~ one_sorted_str(sK2) ),
inference(resolution,[],[f180,f89]) ).
fof(f182,plain,
~ one_sorted_str(sK2),
inference(forward_subsumption_resolution,[],[f181,f79]) ).
fof(f183,plain,
~ rel_str(sK2),
inference(resolution,[],[f182,f105]) ).
fof(f184,plain,
$false,
inference(forward_subsumption_resolution,[],[f183,f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU375+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 04:58:37 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.40/1.14 % (813008)Detected formulas, will run a generic FOF schedule.
% 1.40/1.14 % (813017)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3553975399:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.40/1.14 % (813017)First to succeed.
% 1.40/1.14 % (813017)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-813008"
% 1.40/1.14 % (813015)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4195018711:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.40/1.14 % (813016)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2035280176:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.40/1.14 % (813014)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1434670703:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.40/1.14 % (813013)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2842053394:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.40/1.14 % (813016)Refutation not found, incomplete strategy
% 1.40/1.14 % (813016)------------------------------
% 1.40/1.14 % (813016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.40/1.14 % (813016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/1.14 % (813016)CaDiCaL version: 2.1.3
% 1.40/1.14 % (813016)Termination reason: Refutation not found, incomplete strategy
% 1.40/1.14 % (813016)Time elapsed: 0.003 s
% 1.40/1.14 % (813016)Peak memory usage: 88 MB
% 1.40/1.14 % (813016)Instructions burned: 3 (million)
% 1.40/1.14 % (813019)dis-21_1_sil=8000:lcm=predicate:random_seed=1840095267:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.40/1.14 % (813019)Also succeeded, but the first one will report.
% 1.40/1.14 % (813018)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2960551205:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.40/1.14 % (813018)Also succeeded, but the first one will report.
% 1.40/1.14 % (813017)Refutation found. Thanks to Tanya!
% 1.40/1.14 % SZS status Theorem for theBenchmark
% 1.40/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.34 % (813017)------------------------------
% 2.66/1.34 % (813017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.34 % (813017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.34 % (813017)CaDiCaL version: 2.1.3
% 2.66/1.34 % (813017)Termination reason: Refutation
% 2.66/1.34 % (813017)Time elapsed: 0.003 s
% 2.66/1.34 % (813017)Peak memory usage: 88 MB
% 2.66/1.34 % (813017)Instructions burned: 7 (million)
% 2.66/1.34 % (813017)------------------------------
% 2.66/1.34 % (813017)------------------------------
% 2.66/1.34 % (813008)Success in time 0.289 s
% 2.66/1.34 % Vampire exiting
%------------------------------------------------------------------------------