%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU356+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 : n008.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 02:57:01 PM UTC 2026
% Result : Theorem 4.36s 1.54s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 5
% Syntax : Number of formulae : 119 ( 12 unt; 2 def)
% Number of atoms : 641 ( 38 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 807 ( 326 ~; 351 |; 96 &)
% ( 8 <=>; 24 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 7 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 : 10 ( 8 usr; 2 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 247 ( 0 sgn 215 !; 32 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( ! [X4] :
( element(X4,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X4)
=> related(X0,X3,X4) ) )
& relstr_set_smaller(X0,X1,X3) )
=> X3 = X2 ) )
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_yellow_0) ).
fof(f9,conjecture,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(f10,negated_conjecture,
~ ! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,axiom,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( related(X0,X2,X1)
& related(X0,X1,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_orders_2) ).
fof(f12,plain,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X4] :
( element(X4,the_carrier(X0))
=> ( ( ! [X5] :
( element(X5,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X5)
=> related(X0,X4,X5) ) )
& relstr_set_smaller(X0,X1,X4) )
=> X2 = X4 ) )
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
inference(rectify,[],[f1]) ).
fof(f15,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X4] :
( ~ element(X4,the_carrier(X0))
| ? [X5] :
( element(X5,the_carrier(X0))
& relstr_set_smaller(X0,X1,X5)
& ~ related(X0,X4,X5) )
| ~ relstr_set_smaller(X0,X1,X4)
| X2 = X4 )
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3)
| related(X0,X2,X3) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f16,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X4] :
( ~ element(X4,the_carrier(X0))
| ? [X5] :
( element(X5,the_carrier(X0))
& relstr_set_smaller(X0,X1,X5)
& ~ related(X0,X4,X5) )
| ~ relstr_set_smaller(X0,X1,X4)
| X2 = X4 )
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3)
| related(X0,X2,X3) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
? [X0] :
( rel_str(X0)
& antisymmetric_relstr(X0)
& ? [X1] :
( ex_sup_of_relstr_set(X0,X1)
<~> ? [X2] :
( ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3)
| related(X0,X2,X3) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f18,plain,
? [X0] :
( rel_str(X0)
& antisymmetric_relstr(X0)
& ? [X1] :
( ex_sup_of_relstr_set(X0,X1)
<~> ? [X2] :
( ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3)
| related(X0,X2,X3) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0] :
( ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ~ related(X0,X2,X1)
| ~ related(X0,X1,X2)
| X1 = X2 ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f20,plain,
! [X0] :
( ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ~ related(X0,X2,X1)
| ~ related(X0,X1,X2)
| X1 = X2 ) ) ),
inference(flattening,[],[f19]) ).
fof(f26,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ~ ex_sup_of_relstr_set(X0,X1)
| ? [X2] :
( sP0(X2,X1,X0)
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3)
| related(X0,X2,X3) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
& ( ! [X2] :
( ~ sP0(X2,X1,X0)
| ? [X3] :
( element(X3,the_carrier(X0))
& relstr_set_smaller(X0,X1,X3)
& ~ related(X0,X2,X3) )
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ex_sup_of_relstr_set(X0,X1) ) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f27,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ~ ex_sup_of_relstr_set(X0,X1)
| ? [X4] :
( sP0(X4,X1,X0)
& ! [X5] :
( ~ element(X5,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X5)
| related(X0,X4,X5) )
& relstr_set_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) ) )
& ( ! [X2] :
( ~ sP0(X2,X1,X0)
| ? [X3] :
( element(X3,the_carrier(X0))
& relstr_set_smaller(X0,X1,X3)
& ~ related(X0,X2,X3) )
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ex_sup_of_relstr_set(X0,X1) ) ) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ~ ex_sup_of_relstr_set(X0,X1)
| ( sP0(sK4(X0,X1),X1,X0)
& ! [X5] :
( ~ element(X5,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X5)
| related(X0,sK4(X0,X1),X5) )
& relstr_set_smaller(X0,X1,sK4(X0,X1))
& element(sK4(X0,X1),the_carrier(X0)) ) )
& ( ! [X2] :
( ~ sP0(X2,X1,X0)
| ( element(sK3(X0,X1,X2),the_carrier(X0))
& relstr_set_smaller(X0,X1,sK3(X0,X1,X2))
& ~ related(X0,X2,sK3(X0,X1,X2)) )
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ex_sup_of_relstr_set(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X4,sK4(X0,X1))],[f27]) ).
fof(f31,plain,
? [X0] :
( rel_str(X0)
& antisymmetric_relstr(X0)
& ? [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ? [X2] :
( ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3)
| related(X0,X2,X3) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
& ( ~ ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ? [X3] :
( element(X3,the_carrier(X0))
& relstr_set_smaller(X0,X1,X3)
& ~ related(X0,X2,X3) )
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) ) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f32,plain,
? [X0] :
( rel_str(X0)
& antisymmetric_relstr(X0)
& ? [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ? [X4] :
( ! [X5] :
( ~ element(X5,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X5)
| related(X0,X4,X5) )
& relstr_set_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) ) )
& ( ~ ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ? [X3] :
( element(X3,the_carrier(X0))
& relstr_set_smaller(X0,X1,X3)
& ~ related(X0,X2,X3) )
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) ) ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
( rel_str(sK7)
& antisymmetric_relstr(sK7)
& ( ex_sup_of_relstr_set(sK7,sK8)
| ( ! [X5] :
( ~ element(X5,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X5)
| related(sK7,sK10,X5) )
& relstr_set_smaller(sK7,sK8,sK10)
& element(sK10,the_carrier(sK7)) ) )
& ( ~ ex_sup_of_relstr_set(sK7,sK8)
| ! [X2] :
( ( element(sK9(X2),the_carrier(sK7))
& relstr_set_smaller(sK7,sK8,sK9(X2))
& ~ related(sK7,X2,sK9(X2)) )
| ~ relstr_set_smaller(sK7,sK8,X2)
| ~ element(X2,the_carrier(sK7)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X3,sK9(X2)),skolemize(X4,sK10)],[f32]) ).
fof(f42,plain,
! [X0,X1,X5] :
( ~ rel_str(X0)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X5,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X5)
| related(X0,sK4(X0,X1),X5) ),
inference(cnf_transformation,[],[f28]) ).
fof(f43,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ ex_sup_of_relstr_set(X0,X1)
| relstr_set_smaller(X0,X1,sK4(X0,X1)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f44,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ ex_sup_of_relstr_set(X0,X1)
| element(sK4(X0,X1),the_carrier(X0)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ~ sP0(X2,X1,X0)
| element(sK3(X0,X1,X2),the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ~ sP0(X2,X1,X0)
| relstr_set_smaller(X0,X1,sK3(X0,X1,X2))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ~ sP0(X2,X1,X0)
| ~ related(X0,X2,sK3(X0,X1,X2))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
rel_str(sK7),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
antisymmetric_relstr(sK7),
inference(cnf_transformation,[],[f33]) ).
fof(f52,plain,
! [X5] :
( ex_sup_of_relstr_set(sK7,sK8)
| ~ element(X5,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X5)
| related(sK7,sK10,X5) ),
inference(cnf_transformation,[],[f33]) ).
fof(f53,plain,
( ex_sup_of_relstr_set(sK7,sK8)
| relstr_set_smaller(sK7,sK8,sK10) ),
inference(cnf_transformation,[],[f33]) ).
fof(f54,plain,
( ex_sup_of_relstr_set(sK7,sK8)
| element(sK10,the_carrier(sK7)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f55,plain,
! [X2] :
( ~ ex_sup_of_relstr_set(sK7,sK8)
| element(sK9(X2),the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X2)
| ~ element(X2,the_carrier(sK7)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f56,plain,
! [X2] :
( ~ ex_sup_of_relstr_set(sK7,sK8)
| relstr_set_smaller(sK7,sK8,sK9(X2))
| ~ relstr_set_smaller(sK7,sK8,X2)
| ~ element(X2,the_carrier(sK7)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f57,plain,
! [X2] :
( ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ related(sK7,X2,sK9(X2))
| ~ relstr_set_smaller(sK7,sK8,X2)
| ~ element(X2,the_carrier(sK7)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ related(X0,X2,X1)
| ~ related(X0,X1,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ex_sup_of_relstr_set(X0,X2)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ sP0(X1,X2,X0)
| ~ related(X0,X1,sK3(X0,X2,X1)) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ex_sup_of_relstr_set(X2,X1)
| relstr_set_smaller(X2,X1,sK3(X2,X1,X0))
| ~ rel_str(X2)
| ~ element(X0,the_carrier(X2))
| ~ relstr_set_smaller(X2,X1,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ex_sup_of_relstr_set(X2,X1)
| element(sK3(X2,X1,X0),the_carrier(X2))
| ~ rel_str(X2)
| ~ element(X0,the_carrier(X2))
| ~ relstr_set_smaller(X2,X1,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( element(sK4(X0,X1),the_carrier(X0))
| ~ rel_str(X0)
| ~ ex_sup_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( relstr_set_smaller(X0,X1,sK4(X0,X1))
| ~ rel_str(X0)
| ~ ex_sup_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( related(X0,sK4(X0,X1),X2)
| ~ rel_str(X0)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_65,negated_conjecture,
! [X0: $i] :
( ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X0)
| ~ related(sK7,X0,sK9(X0)) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_66,negated_conjecture,
! [X0: $i] :
( relstr_set_smaller(sK7,sK8,sK9(X0))
| ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_67,negated_conjecture,
! [X0: $i] :
( element(sK9(X0),the_carrier(sK7))
| ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X0) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_68,negated_conjecture,
( ex_sup_of_relstr_set(sK7,sK8)
| element(sK10,the_carrier(sK7)) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_69,negated_conjecture,
( ex_sup_of_relstr_set(sK7,sK8)
| relstr_set_smaller(sK7,sK8,sK10) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_70,negated_conjecture,
! [X0: $i] :
( ex_sup_of_relstr_set(sK7,sK8)
| related(sK7,sK10,X0)
| ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X0) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_71,negated_conjecture,
antisymmetric_relstr(sK7),
inference(cnf_transformation,[],[f51]) ).
tcf(c_72,negated_conjecture,
rel_str(sK7),
inference(cnf_transformation,[],[f50]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ related(X0,X2,X1)
| ~ related(X0,X1,X2) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ related(X0,X2,X1)
| ~ related(X0,X1,X2)
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_71,c_73]) ).
tcf(c_448,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ rel_str(sK7)
| ~ element(X1,the_carrier(sK7))
| ~ element(X0,the_carrier(sK7))
| ~ related(sK7,X1,X0)
| ~ related(sK7,X0,X1) ),
inference(unflattening,[status(thm)],[c_447]) ).
tcf(c_450,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ related(sK7,X0,X1)
| ~ related(sK7,X1,X0)
| ~ element(X0,the_carrier(sK7))
| ~ element(X1,the_carrier(sK7)) ),
inference(global_subsumption_just,[status(thm)],[c_448,c_72,c_448]) ).
tcf(c_451,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ element(X1,the_carrier(sK7))
| ~ element(X0,the_carrier(sK7))
| ~ related(sK7,X1,X0)
| ~ related(sK7,X0,X1) ),
inference(renaming,[status(thm)],[c_450]) ).
tcf(c_542,plain,
! [X0: $i,X1: $i,X2: $i] :
( related(X0,sK4(X0,X1),X2)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_72]) ).
tcf(c_543,plain,
! [X0: $i,X1: $i] :
( related(sK7,sK4(sK7,X0),X1)
| ~ ex_sup_of_relstr_set(sK7,X0)
| ~ element(X1,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,X0,X1) ),
inference(unflattening,[status(thm)],[c_542]) ).
tcf(c_557,plain,
! [X0: $i,X1: $i] :
( relstr_set_smaller(X0,X1,sK4(X0,X1))
| ~ ex_sup_of_relstr_set(X0,X1)
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_72]) ).
tcf(c_558,plain,
! [X0: $i] :
( relstr_set_smaller(sK7,X0,sK4(sK7,X0))
| ~ ex_sup_of_relstr_set(sK7,X0) ),
inference(unflattening,[status(thm)],[c_557]) ).
tcf(c_566,plain,
! [X0: $i,X1: $i] :
( element(sK4(X0,X1),the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_72]) ).
tcf(c_567,plain,
! [X0: $i] :
( element(sK4(sK7,X0),the_carrier(sK7))
| ~ ex_sup_of_relstr_set(sK7,X0) ),
inference(unflattening,[status(thm)],[c_566]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ex_sup_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ sP0(X1,X2,X0)
| ~ related(X0,X1,sK3(X0,X2,X1))
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_72]) ).
tcf(c_576,plain,
! [X0: $i,X1: $i] :
( ex_sup_of_relstr_set(sK7,X1)
| ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,X1,X0)
| ~ sP0(X0,X1,sK7)
| ~ related(sK7,X0,sK3(sK7,X1,X0)) ),
inference(unflattening,[status(thm)],[c_575]) ).
tcf(c_629,plain,
! [X0: $i,X1: $i,X2: $i] :
( ex_sup_of_relstr_set(X0,X2)
| element(sK3(X0,X2,X1),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ sP0(X1,X2,X0)
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_72]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i] :
( ex_sup_of_relstr_set(sK7,X1)
| element(sK3(sK7,X1,X0),the_carrier(sK7))
| ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,X1,X0)
| ~ sP0(X0,X1,sK7) ),
inference(unflattening,[status(thm)],[c_629]) ).
tcf(c_647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ex_sup_of_relstr_set(X0,X2)
| relstr_set_smaller(X0,X2,sK3(X0,X2,X1))
| ~ element(X1,the_carrier(X0))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ sP0(X1,X2,X0)
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_72]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i] :
( ex_sup_of_relstr_set(sK7,X1)
| relstr_set_smaller(sK7,X1,sK3(sK7,X1,X0))
| ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,X1,X0)
| ~ sP0(X0,X1,sK7) ),
inference(unflattening,[status(thm)],[c_647]) ).
tcf(c_4415,definition,
iPr_def_10 = the_carrier(sK7),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_4416,plain,
! [X0: $i,X1: $i] :
( ex_sup_of_relstr_set(sK7,X1)
| relstr_set_smaller(sK7,X1,sK3(sK7,X1,X0))
| ~ element(X0,iPr_def_10)
| ~ relstr_set_smaller(sK7,X1,X0)
| ~ sP0(X0,X1,sK7) ),
inference(demodulation,[status(thm)],[c_648,c_4415]) ).
tcf(c_4417,plain,
! [X0: $i,X1: $i] :
( ex_sup_of_relstr_set(sK7,X1)
| element(sK3(sK7,X1,X0),iPr_def_10)
| ~ element(X0,iPr_def_10)
| ~ relstr_set_smaller(sK7,X1,X0)
| ~ sP0(X0,X1,sK7) ),
inference(demodulation,[status(thm)],[c_630]) ).
tcf(c_4418,plain,
! [X0: $i,X1: $i] :
( ex_sup_of_relstr_set(sK7,X1)
| ~ element(X0,iPr_def_10)
| ~ relstr_set_smaller(sK7,X1,X0)
| ~ sP0(X0,X1,sK7)
| ~ related(sK7,X0,sK3(sK7,X1,X0)) ),
inference(demodulation,[status(thm)],[c_576]) ).
tcf(c_4419,plain,
! [X0: $i] :
( element(sK4(sK7,X0),iPr_def_10)
| ~ ex_sup_of_relstr_set(sK7,X0) ),
inference(demodulation,[status(thm)],[c_567]) ).
tcf(c_4420,plain,
! [X0: $i] :
( relstr_set_smaller(sK7,X0,sK4(sK7,X0))
| ~ ex_sup_of_relstr_set(sK7,X0) ),
inference(demodulation,[status(thm)],[c_558]) ).
tcf(c_4421,plain,
! [X0: $i,X1: $i] :
( related(sK7,sK4(sK7,X0),X1)
| ~ ex_sup_of_relstr_set(sK7,X0)
| ~ element(X1,iPr_def_10)
| ~ relstr_set_smaller(sK7,X0,X1) ),
inference(demodulation,[status(thm)],[c_543]) ).
tcf(c_4423,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ element(X1,iPr_def_10)
| ~ element(X0,iPr_def_10)
| ~ related(sK7,X1,X0)
| ~ related(sK7,X0,X1) ),
inference(demodulation,[status(thm)],[c_451]) ).
tcf(c_4424,negated_conjecture,
! [X0: $i] :
( ex_sup_of_relstr_set(sK7,sK8)
| related(sK7,sK10,X0)
| ~ element(X0,iPr_def_10)
| ~ relstr_set_smaller(sK7,sK8,X0) ),
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_4425,negated_conjecture,
( ex_sup_of_relstr_set(sK7,sK8)
| relstr_set_smaller(sK7,sK8,sK10) ),
inference(demodulation,[status(thm)],[c_69]) ).
tcf(c_4426,negated_conjecture,
( ex_sup_of_relstr_set(sK7,sK8)
| element(sK10,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_68]) ).
tcf(c_4427,negated_conjecture,
! [X0: $i] :
( element(sK9(X0),iPr_def_10)
| ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ element(X0,iPr_def_10)
| ~ relstr_set_smaller(sK7,sK8,X0) ),
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_4428,negated_conjecture,
! [X0: $i] :
( relstr_set_smaller(sK7,sK8,sK9(X0))
| ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ element(X0,iPr_def_10)
| ~ relstr_set_smaller(sK7,sK8,X0) ),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_4429,negated_conjecture,
! [X0: $i] :
( ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ element(X0,iPr_def_10)
| ~ relstr_set_smaller(sK7,sK8,X0)
| ~ related(sK7,X0,sK9(X0)) ),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_5105,plain,
( element(sK9(sK4(sK7,sK8)),iPr_def_10)
| ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ element(sK4(sK7,sK8),iPr_def_10) ),
inference(superposition,[status(thm)],[c_4420,c_4427]) ).
tcf(c_5148,plain,
! [X0: $i] :
( ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ ex_sup_of_relstr_set(sK7,X0)
| ~ element(sK4(sK7,X0),iPr_def_10)
| ~ element(sK9(sK4(sK7,X0)),iPr_def_10)
| ~ relstr_set_smaller(sK7,sK8,sK4(sK7,X0))
| ~ relstr_set_smaller(sK7,X0,sK9(sK4(sK7,X0))) ),
inference(superposition,[status(thm)],[c_4421,c_4429]) ).
tcf(c_5156,plain,
! [X0: $i] :
( ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ ex_sup_of_relstr_set(sK7,X0)
| ~ relstr_set_smaller(sK7,X0,sK9(sK4(sK7,X0)))
| ~ relstr_set_smaller(sK7,sK8,sK4(sK7,X0))
| ~ element(sK9(sK4(sK7,X0)),iPr_def_10) ),
inference(global_subsumption_just,[status(thm)],[c_5148,c_4419,c_5148]) ).
tcf(c_5157,plain,
! [X0: $i] :
( ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ ex_sup_of_relstr_set(sK7,X0)
| ~ element(sK9(sK4(sK7,X0)),iPr_def_10)
| ~ relstr_set_smaller(sK7,sK8,sK4(sK7,X0))
| ~ relstr_set_smaller(sK7,X0,sK9(sK4(sK7,X0))) ),
inference(renaming,[status(thm)],[c_5156]) ).
tcf(c_5169,plain,
( ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ element(sK4(sK7,sK8),iPr_def_10)
| ~ element(sK9(sK4(sK7,sK8)),iPr_def_10)
| ~ relstr_set_smaller(sK7,sK8,sK4(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_4428,c_5157]) ).
tcf(c_5174,plain,
( ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ element(sK4(sK7,sK8),iPr_def_10)
| ~ relstr_set_smaller(sK7,sK8,sK4(sK7,sK8)) ),
inference(global_subsumption_just,[status(thm)],[c_5169,c_5105,c_5169]) ).
tcf(c_5179,plain,
~ ex_sup_of_relstr_set(sK7,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_5174,c_4419,c_4420]) ).
tcf(c_5182,plain,
element(sK10,iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_4426,c_5179]) ).
tcf(c_5183,plain,
! [X0: $i] :
( related(sK7,sK10,X0)
| ~ element(X0,iPr_def_10)
| ~ relstr_set_smaller(sK7,sK8,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4424,c_5179]) ).
tcf(c_5184,plain,
relstr_set_smaller(sK7,sK8,sK10),
inference(backward_subsumption_resolution,[status(thm)],[c_4425,c_5179]) ).
tcf(c_5331,plain,
! [X0: $i] :
( ex_sup_of_relstr_set(sK7,sK8)
| related(sK7,sK10,sK3(sK7,sK8,X0))
| ~ element(X0,iPr_def_10)
| ~ relstr_set_smaller(sK7,sK8,X0)
| ~ sP0(X0,sK8,sK7)
| ~ element(sK3(sK7,sK8,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_4416,c_5183]) ).
tcf(c_5332,plain,
! [X0: $i] :
( related(sK7,sK10,sK3(sK7,sK8,X0))
| ~ element(X0,iPr_def_10)
| ~ relstr_set_smaller(sK7,sK8,X0)
| ~ sP0(X0,sK8,sK7)
| ~ element(sK3(sK7,sK8,X0),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5331,c_5179]) ).
tcf(c_5418,plain,
( ex_sup_of_relstr_set(sK7,sK8)
| ~ element(sK10,iPr_def_10)
| ~ relstr_set_smaller(sK7,sK8,sK10)
| ~ sP0(sK10,sK8,sK7)
| ~ element(sK3(sK7,sK8,sK10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_5332,c_4418]) ).
tcf(c_5419,plain,
( ~ sP0(sK10,sK8,sK7)
| ~ element(sK3(sK7,sK8,sK10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5418,c_5179,c_5182,c_5184]) ).
tcf(c_5434,plain,
( ex_sup_of_relstr_set(sK7,sK8)
| ~ element(sK10,iPr_def_10)
| ~ relstr_set_smaller(sK7,sK8,sK10)
| ~ sP0(sK10,sK8,sK7) ),
inference(superposition,[status(thm)],[c_4417,c_5419]) ).
tcf(c_5435,plain,
~ sP0(sK10,sK8,sK7),
inference(forward_subsumption_resolution,[status(thm)],[c_5434,c_5179,c_5182,c_5184]) ).
fof(f21,definition,
! [X2,X1,X0] :
( sP0(X2,X1,X0)
<=> ! [X4] :
( ~ element(X4,the_carrier(X0))
| ? [X5] :
( element(X5,the_carrier(X0))
& relstr_set_smaller(X0,X1,X5)
& ~ related(X0,X4,X5) )
| ~ relstr_set_smaller(X0,X1,X4)
| X2 = X4 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( sP0(X2,X1,X0)
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3)
| related(X0,X2,X3) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
inference(definition_folding,[],[f16,f21]) ).
fof(f23,plain,
! [X2,X1,X0] :
( ( ~ sP0(X2,X1,X0)
| ! [X4] :
( ~ element(X4,the_carrier(X0))
| ? [X5] :
( element(X5,the_carrier(X0))
& relstr_set_smaller(X0,X1,X5)
& ~ related(X0,X4,X5) )
| ~ relstr_set_smaller(X0,X1,X4)
| X2 = X4 ) )
& ( ? [X4] :
( element(X4,the_carrier(X0))
& ! [X5] :
( ~ element(X5,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X5)
| related(X0,X4,X5) )
& relstr_set_smaller(X0,X1,X4)
& X2 != X4 )
| sP0(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ! [X5] :
( ~ element(X5,the_carrier(X2))
| ? [X6] :
( element(X6,the_carrier(X2))
& relstr_set_smaller(X2,X1,X6)
& ~ related(X2,X5,X6) )
| ~ relstr_set_smaller(X2,X1,X5)
| X0 = X5 ) )
& ( ? [X3] :
( element(X3,the_carrier(X2))
& ! [X4] :
( ~ element(X4,the_carrier(X2))
| ~ relstr_set_smaller(X2,X1,X4)
| related(X2,X3,X4) )
& relstr_set_smaller(X2,X1,X3)
& X0 != X3 )
| sP0(X0,X1,X2) ) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ! [X5] :
( ~ element(X5,the_carrier(X2))
| ( element(sK2(X1,X2,X5),the_carrier(X2))
& relstr_set_smaller(X2,X1,sK2(X1,X2,X5))
& ~ related(X2,X5,sK2(X1,X2,X5)) )
| ~ relstr_set_smaller(X2,X1,X5)
| X0 = X5 ) )
& ( ( element(sK1(X0,X1,X2),the_carrier(X2))
& ! [X4] :
( ~ element(X4,the_carrier(X2))
| ~ relstr_set_smaller(X2,X1,X4)
| related(X2,sK1(X0,X1,X2),X4) )
& relstr_set_smaller(X2,X1,sK1(X0,X1,X2))
& sK1(X0,X1,X2) != X0 )
| sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X3,sK1(X0,X1,X2)),skolemize(X6,sK2(X1,X2,X5))],[f24]) ).
fof(f37,plain,
! [X2,X0,X1] :
( element(sK1(X0,X1,X2),the_carrier(X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f38,plain,
! [X2,X0,X1,X4] :
( ~ element(X4,the_carrier(X2))
| ~ relstr_set_smaller(X2,X1,X4)
| related(X2,sK1(X0,X1,X2),X4)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f39,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X2,X1,sK1(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f40,plain,
! [X2,X0,X1] :
( sK1(X0,X1,X2) != X0
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ( sK1(X0,X1,X2) != X0 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2,X1,X0)
| relstr_set_smaller(X0,X1,sK1(X2,X1,X0)) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X3,X1,X0)
| related(X0,sK1(X3,X1,X0),X2)
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| element(sK1(X0,X1,X2),the_carrier(X2)) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_5070,plain,
! [X0: $i] :
( ex_sup_of_relstr_set(sK7,sK8)
| sP0(X0,sK8,sK7)
| related(sK7,sK10,sK1(X0,sK8,sK7))
| ~ element(sK1(X0,sK8,sK7),iPr_def_10) ),
inference(superposition,[status(thm)],[c_50,c_4424]) ).
tcf(c_5085,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,sK7)
| element(sK1(X0,X1,sK7),iPr_def_10) ),
inference(superposition,[status(thm)],[c_4415,c_52]) ).
tcf(c_5180,plain,
! [X0: $i] :
( sP0(X0,sK8,sK7)
| related(sK7,sK10,sK1(X0,sK8,sK7))
| ~ element(sK1(X0,sK8,sK7),iPr_def_10) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5070,c_5179]) ).
tcf(c_5269,plain,
! [X0: $i] :
( sP0(X0,sK8,sK7)
| related(sK7,sK10,sK1(X0,sK8,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5180,c_5085]) ).
tcf(c_5289,plain,
! [X0: $i] :
( sP0(X0,sK8,sK7)
| ( sK1(X0,sK8,sK7) = sK10 )
| ~ element(sK10,iPr_def_10)
| ~ element(sK1(X0,sK8,sK7),iPr_def_10)
| ~ related(sK7,sK1(X0,sK8,sK7),sK10) ),
inference(superposition,[status(thm)],[c_5269,c_4423]) ).
tcf(c_5290,plain,
! [X0: $i] :
( sP0(X0,sK8,sK7)
| ( sK1(X0,sK8,sK7) = sK10 )
| ~ element(sK1(X0,sK8,sK7),iPr_def_10)
| ~ related(sK7,sK1(X0,sK8,sK7),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5289,c_5182]) ).
tcf(c_5371,plain,
! [X0: $i] :
( sP0(X0,sK8,sK7)
| ( sK1(X0,sK8,sK7) = sK10 )
| ~ related(sK7,sK1(X0,sK8,sK7),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5290,c_5085]) ).
tcf(c_5381,plain,
! [X0: $i] :
( sP0(X0,sK8,sK7)
| ( sK1(X0,sK8,sK7) = sK10 )
| ~ element(sK10,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,sK10) ),
inference(superposition,[status(thm)],[c_51,c_5371]) ).
tcf(c_5382,plain,
! [X0: $i] :
( sP0(X0,sK8,sK7)
| ( sK1(X0,sK8,sK7) = sK10 )
| ~ element(sK10,iPr_def_10)
| ~ relstr_set_smaller(sK7,sK8,sK10) ),
inference(light_normalisation,[status(thm)],[c_5381,c_4415]) ).
tcf(c_5383,plain,
! [X0: $i] :
( sP0(X0,sK8,sK7)
| ( sK1(X0,sK8,sK7) = sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5382,c_5182,c_5184]) ).
tcf(c_5511,plain,
sK1(sK10,sK8,sK7) = sK10,
inference(superposition,[status(thm)],[c_5383,c_5435]) ).
tcf(c_5512,plain,
sP0(sK10,sK8,sK7),
inference(superposition,[status(thm)],[c_5511,c_49]) ).
tcf(c_5518,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5512,c_5435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU356+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.45 % Computer : n008.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Thu Sep 24 13:50:10 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 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
% 0.22/0.53
% 0.22/0.53 % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.53
% 0.22/0.53 % Detected problem language: tptp
% 0.22/0.55 % Proving...
% 4.36/1.54 % SZS status Started for theBenchmark.p
% 4.36/1.54 % SZS status Theorem for theBenchmark.p
% 4.36/1.54
% 4.36/1.54 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.36/1.54
% 4.36/1.54 % ------ iProver source info
% 4.36/1.54
% 4.36/1.54 % git: date: 2026-07-19 20:42:38 +0200
% 4.36/1.54 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.36/1.54 % git: non_committed_changes: false
% 4.36/1.54
% 4.36/1.54 % ------ Parsing...
% 4.36/1.54 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.36/1.54
% 4.36/1.54 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e %
% 4.36/1.54
% 4.36/1.54 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.36/1.54
% 4.36/1.54 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.36/1.54 % ------ Proving...
% 4.36/1.54 % ------ Problem Properties
% 4.36/1.54
% 4.36/1.54 %
% 4.36/1.54 % clauses 30
% 4.36/1.54 % conjectures 6
% 4.36/1.54 % EPR 4
% 4.36/1.54 % Horn 18
% 4.36/1.54 % unary 2
% 4.36/1.54 % binary 11
% 4.36/1.54 % lits 102
% 4.36/1.54 % lits eq 6
% 4.36/1.54 % fd_pure 0
% 4.36/1.54 % fd_pseudo 0
% 4.36/1.54 % fd_cond 0
% 4.36/1.54 % fd_pseudo_cond 4
% 4.36/1.54 % AC symbols 0
% 4.36/1.54
% 4.36/1.54 % ------ Schedule dynamic 5 is on
% 4.36/1.54
% 4.36/1.54 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.36/1.54
% 4.36/1.54
% 4.36/1.54 % ------
% 4.36/1.54 % Current options:
% 4.36/1.54 % ------
% 4.36/1.54
% 4.36/1.54
% 4.36/1.54 %
% 4.36/1.54
% 4.36/1.54 % ------ Proving...
% 4.36/1.54 %
% 4.36/1.54
% 4.36/1.54 % SZS status Theorem for theBenchmark.p
% 4.36/1.54
% 4.36/1.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.36/1.54
% 4.36/1.54
%------------------------------------------------------------------------------