%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU259+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 : n016.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 12:48:03 PM UTC 2026
% Result : Theorem 6.35s 1.88s
% Output : Refutation 7.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 26
% Syntax : Number of formulae : 290 ( 34 unt; 16 def)
% Number of atoms : 1434 ( 190 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 2057 ( 913 ~; 986 |; 109 &)
% ( 28 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 17 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-3 aty)
% Number of variables : 349 ( 0 sgn 328 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f6,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f9,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( relation_isomorphism(X0,X1,X2)
<=> ( relation_dom(X2) = relation_field(X0)
& relation_rng(X2) = relation_field(X1)
& one_to_one(X2)
& ! [X3,X4] :
( in(ordered_pair(X3,X4),X0)
<=> ( in(X3,relation_field(X0))
& in(X4,relation_field(X0))
& in(ordered_pair(apply(X2,X3),apply(X2,X4)),X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_wellord1) ).
fof(f14,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( relation(function_inverse(X0))
& function(function_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f37,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X0,relation_field(X2))
& in(X1,relation_field(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relat_1) ).
fof(f38,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( relation_isomorphism(X0,X1,X2)
=> relation_isomorphism(X1,X0,function_inverse(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_wellord1) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( relation_isomorphism(X0,X1,X2)
=> relation_isomorphism(X1,X0,function_inverse(X2)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f40,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ( relation_rng(X0) = relation_dom(function_inverse(X0))
& relation_dom(X0) = relation_rng(function_inverse(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
fof(f41,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( ( one_to_one(X1)
& in(X0,relation_rng(X1)) )
=> ( X0 = apply(X1,apply(function_inverse(X1),X0))
& X0 = apply(relation_composition(function_inverse(X1),X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
fof(f42,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_funct_1) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f51]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( relation_isomorphism(X0,X1,X2)
<=> ( relation_dom(X2) = relation_field(X0)
& relation_rng(X2) = relation_field(X1)
& one_to_one(X2)
& ! [X3,X4] :
( in(ordered_pair(X3,X4),X0)
<=> ( in(X3,relation_field(X0))
& in(X4,relation_field(X0))
& in(ordered_pair(apply(X2,X3),apply(X2,X4)),X1) ) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( relation_isomorphism(X0,X1,X2)
<=> ( relation_dom(X2) = relation_field(X0)
& relation_rng(X2) = relation_field(X1)
& one_to_one(X2)
& ! [X3,X4] :
( in(ordered_pair(X3,X4),X0)
<=> ( in(X3,relation_field(X0))
& in(X4,relation_field(X0))
& in(ordered_pair(apply(X2,X3),apply(X2,X4)),X1) ) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f57,plain,
! [X0] :
( ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f56]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( in(X0,relation_field(X2))
& in(X1,relation_field(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( in(X0,relation_field(X2))
& in(X1,relation_field(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ relation_isomorphism(X1,X0,function_inverse(X2))
& relation_isomorphism(X0,X1,X2)
& relation(X2)
& function(X2) )
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f70,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ relation_isomorphism(X1,X0,function_inverse(X2))
& relation_isomorphism(X0,X1,X2)
& relation(X2)
& function(X2) )
& relation(X1) )
& relation(X0) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ( relation_rng(X0) = relation_dom(function_inverse(X0))
& relation_dom(X0) = relation_rng(function_inverse(X0)) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f72,plain,
! [X0] :
( ( relation_rng(X0) = relation_dom(function_inverse(X0))
& relation_dom(X0) = relation_rng(function_inverse(X0)) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ( X0 = apply(X1,apply(function_inverse(X1),X0))
& X0 = apply(relation_composition(function_inverse(X1),X1),X0) )
| ~ one_to_one(X1)
| ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f74,plain,
! [X0,X1] :
( ( X0 = apply(X1,apply(function_inverse(X1),X0))
& X0 = apply(relation_composition(function_inverse(X1),X1),X0) )
| ~ one_to_one(X1)
| ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0] :
( one_to_one(function_inverse(X0))
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f76,plain,
! [X0] :
( one_to_one(function_inverse(X0))
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f75]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = X2 )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ? [X7] :
( in(X7,relation_dom(X0))
& apply(X0,X7) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != sK0(X0,X1) )
| ~ in(sK0(X0,X1),X1) )
& ( ( in(sK1(X0,X1),relation_dom(X0))
& sK0(X0,X1) = apply(X0,sK1(X0,X1)) )
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ( in(sK2(X0,X5),relation_dom(X0))
& apply(X0,sK2(X0,X5)) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X2,sK0(X0,X1)),skolemize(X4,sK1(X0,X1)),skolemize(X7,sK2(X0,X5))],[f81]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( relation_isomorphism(X0,X1,X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| ? [X3,X4] :
( ( ~ in(X3,relation_field(X0))
| ~ in(X4,relation_field(X0))
| ~ in(ordered_pair(apply(X2,X3),apply(X2,X4)),X1)
| ~ in(ordered_pair(X3,X4),X0) )
& ( ( in(X3,relation_field(X0))
& in(X4,relation_field(X0))
& in(ordered_pair(apply(X2,X3),apply(X2,X4)),X1) )
| in(ordered_pair(X3,X4),X0) ) ) )
& ( ( relation_dom(X2) = relation_field(X0)
& relation_rng(X2) = relation_field(X1)
& one_to_one(X2)
& ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X0)
| ~ in(X3,relation_field(X0))
| ~ in(X4,relation_field(X0))
| ~ in(ordered_pair(apply(X2,X3),apply(X2,X4)),X1) )
& ( ( in(X3,relation_field(X0))
& in(X4,relation_field(X0))
& in(ordered_pair(apply(X2,X3),apply(X2,X4)),X1) )
| ~ in(ordered_pair(X3,X4),X0) ) ) )
| ~ relation_isomorphism(X0,X1,X2) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f55]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( relation_isomorphism(X0,X1,X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| ? [X3,X4] :
( ( ~ in(X3,relation_field(X0))
| ~ in(X4,relation_field(X0))
| ~ in(ordered_pair(apply(X2,X3),apply(X2,X4)),X1)
| ~ in(ordered_pair(X3,X4),X0) )
& ( ( in(X3,relation_field(X0))
& in(X4,relation_field(X0))
& in(ordered_pair(apply(X2,X3),apply(X2,X4)),X1) )
| in(ordered_pair(X3,X4),X0) ) ) )
& ( ( relation_dom(X2) = relation_field(X0)
& relation_rng(X2) = relation_field(X1)
& one_to_one(X2)
& ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X0)
| ~ in(X3,relation_field(X0))
| ~ in(X4,relation_field(X0))
| ~ in(ordered_pair(apply(X2,X3),apply(X2,X4)),X1) )
& ( ( in(X3,relation_field(X0))
& in(X4,relation_field(X0))
& in(ordered_pair(apply(X2,X3),apply(X2,X4)),X1) )
| ~ in(ordered_pair(X3,X4),X0) ) ) )
| ~ relation_isomorphism(X0,X1,X2) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( relation_isomorphism(X0,X1,X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| ? [X3,X4] :
( ( ~ in(X3,relation_field(X0))
| ~ in(X4,relation_field(X0))
| ~ in(ordered_pair(apply(X2,X3),apply(X2,X4)),X1)
| ~ in(ordered_pair(X3,X4),X0) )
& ( ( in(X3,relation_field(X0))
& in(X4,relation_field(X0))
& in(ordered_pair(apply(X2,X3),apply(X2,X4)),X1) )
| in(ordered_pair(X3,X4),X0) ) ) )
& ( ( relation_dom(X2) = relation_field(X0)
& relation_rng(X2) = relation_field(X1)
& one_to_one(X2)
& ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X0)
| ~ in(X5,relation_field(X0))
| ~ in(X6,relation_field(X0))
| ~ in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) )
& ( ( in(X5,relation_field(X0))
& in(X6,relation_field(X0))
& in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) )
| ~ in(ordered_pair(X5,X6),X0) ) ) )
| ~ relation_isomorphism(X0,X1,X2) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( relation_isomorphism(X0,X1,X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| ( ( ~ in(sK3(X0,X1,X2),relation_field(X0))
| ~ in(sK4(X0,X1,X2),relation_field(X0))
| ~ in(ordered_pair(apply(X2,sK3(X0,X1,X2)),apply(X2,sK4(X0,X1,X2))),X1)
| ~ in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0) )
& ( ( in(sK3(X0,X1,X2),relation_field(X0))
& in(sK4(X0,X1,X2),relation_field(X0))
& in(ordered_pair(apply(X2,sK3(X0,X1,X2)),apply(X2,sK4(X0,X1,X2))),X1) )
| in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0) ) ) )
& ( ( relation_dom(X2) = relation_field(X0)
& relation_rng(X2) = relation_field(X1)
& one_to_one(X2)
& ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X0)
| ~ in(X5,relation_field(X0))
| ~ in(X6,relation_field(X0))
| ~ in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) )
& ( ( in(X5,relation_field(X0))
& in(X6,relation_field(X0))
& in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) )
| ~ in(ordered_pair(X5,X6),X0) ) ) )
| ~ relation_isomorphism(X0,X1,X2) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X4,sK4(X0,X1,X2))],[f85]) ).
fof(f93,plain,
( ~ relation_isomorphism(sK12,sK11,function_inverse(sK13))
& relation_isomorphism(sK11,sK12,sK13)
& relation(sK13)
& function(sK13)
& relation(sK12)
& relation(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13)],[f70]) ).
fof(f99,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f107,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f109,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1)
| ~ in(ordered_pair(X5,X6),X0)
| ~ relation_isomorphism(X0,X1,X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f112,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X0)
| ~ in(X5,relation_field(X0))
| ~ in(X6,relation_field(X0))
| ~ in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1)
| ~ relation_isomorphism(X0,X1,X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ function(X2)
| ~ relation_isomorphism(X0,X1,X2)
| ~ relation(X2)
| one_to_one(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ function(X2)
| ~ relation_isomorphism(X0,X1,X2)
| ~ relation(X2)
| relation_rng(X2) = relation_field(X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ function(X2)
| ~ relation_isomorphism(X0,X1,X2)
| ~ relation(X2)
| relation_field(X0) = relation_dom(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f116,plain,
! [X2,X0,X1] :
( relation_isomorphism(X0,X1,X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| in(ordered_pair(apply(X2,sK3(X0,X1,X2)),apply(X2,sK4(X0,X1,X2))),X1)
| in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f117,plain,
! [X2,X0,X1] :
( relation_isomorphism(X0,X1,X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| in(sK4(X0,X1,X2),relation_field(X0))
| in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f118,plain,
! [X2,X0,X1] :
( relation_isomorphism(X0,X1,X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| in(sK3(X0,X1,X2),relation_field(X0))
| in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f119,plain,
! [X2,X0,X1] :
( relation_isomorphism(X0,X1,X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| ~ in(sK3(X0,X1,X2),relation_field(X0))
| ~ in(sK4(X0,X1,X2),relation_field(X0))
| ~ in(ordered_pair(apply(X2,sK3(X0,X1,X2)),apply(X2,sK4(X0,X1,X2))),X1)
| ~ in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f120,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| function(function_inverse(X0)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f121,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f144,plain,
! [X2,X0,X1] :
( in(X1,relation_field(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f145,plain,
! [X2,X0,X1] :
( in(X0,relation_field(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f146,plain,
relation(sK11),
inference(cnf_transformation,[],[f93]) ).
fof(f147,plain,
relation(sK12),
inference(cnf_transformation,[],[f93]) ).
fof(f148,plain,
function(sK13),
inference(cnf_transformation,[],[f93]) ).
fof(f149,plain,
relation(sK13),
inference(cnf_transformation,[],[f93]) ).
fof(f150,plain,
relation_isomorphism(sK11,sK12,sK13),
inference(cnf_transformation,[],[f93]) ).
fof(f151,plain,
~ relation_isomorphism(sK12,sK11,function_inverse(sK13)),
inference(cnf_transformation,[],[f93]) ).
fof(f152,plain,
! [X0] :
( ~ one_to_one(X0)
| relation_dom(X0) = relation_rng(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f153,plain,
! [X0] :
( ~ one_to_one(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f155,plain,
! [X0,X1] :
( ~ one_to_one(X1)
| apply(X1,apply(function_inverse(X1),X0)) = X0
| ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f156,plain,
! [X0] :
( ~ one_to_one(X0)
| one_to_one(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f160,plain,
! [X2,X0,X1] :
( relation_isomorphism(X0,X1,X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| ~ in(sK3(X0,X1,X2),relation_field(X0))
| ~ in(sK4(X0,X1,X2),relation_field(X0))
| ~ in(unordered_pair(unordered_pair(apply(X2,sK3(X0,X1,X2)),apply(X2,sK4(X0,X1,X2))),singleton(apply(X2,sK3(X0,X1,X2)))),X1)
| ~ in(unordered_pair(unordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),singleton(sK3(X0,X1,X2))),X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f119,f107,f107]) ).
fof(f161,plain,
! [X2,X0,X1] :
( relation_isomorphism(X0,X1,X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| in(sK3(X0,X1,X2),relation_field(X0))
| in(unordered_pair(unordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),singleton(sK3(X0,X1,X2))),X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f118,f107]) ).
fof(f162,plain,
! [X2,X0,X1] :
( relation_isomorphism(X0,X1,X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| in(sK4(X0,X1,X2),relation_field(X0))
| in(unordered_pair(unordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),singleton(sK3(X0,X1,X2))),X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f117,f107]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ one_to_one(X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| relation_isomorphism(X0,X1,X2)
| in(unordered_pair(unordered_pair(apply(X2,sK3(X0,X1,X2)),apply(X2,sK4(X0,X1,X2))),singleton(apply(X2,sK3(X0,X1,X2)))),X1)
| in(unordered_pair(unordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),singleton(sK3(X0,X1,X2))),X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f116,f107,f107]) ).
fof(f164,plain,
! [X2,X0,X1,X6,X5] :
( ~ relation_isomorphism(X0,X1,X2)
| ~ in(X5,relation_field(X0))
| ~ in(X6,relation_field(X0))
| ~ in(unordered_pair(unordered_pair(apply(X2,X5),apply(X2,X6)),singleton(apply(X2,X5))),X1)
| in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f112,f107,f107]) ).
fof(f167,plain,
! [X2,X0,X1,X6,X5] :
( ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| in(unordered_pair(unordered_pair(apply(X2,X5),apply(X2,X6)),singleton(apply(X2,X5))),X1)
| ~ relation_isomorphism(X0,X1,X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f109,f107,f107]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| in(X0,relation_field(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f145,f107]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| in(X1,relation_field(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f144,f107]) ).
fof(f171,plain,
! [X0,X1,X6] :
( in(apply(X0,X6),X1)
| ~ in(X6,relation_dom(X0))
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f103]) ).
fof(f172,plain,
! [X0,X6] :
( in(apply(X0,X6),relation_rng(X0))
| ~ in(X6,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f171]) ).
fof(f175,plain,
! [X2,X0,X1] :
( relation_field(X0) != relation_dom(X2)
| relation_isomorphism(X0,X1,X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| in(sK4(X0,X1,X2),relation_field(X0))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f162,f170]) ).
fof(f176,plain,
! [X2,X0,X1] :
( relation_field(X0) != relation_dom(X2)
| relation_isomorphism(X0,X1,X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| in(sK3(X0,X1,X2),relation_field(X0))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f161,f169]) ).
fof(f177,plain,
! [X2,X0,X1] :
( relation_isomorphism(X0,X1,X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| ~ in(sK3(X0,X1,X2),relation_field(X0))
| ~ in(unordered_pair(unordered_pair(apply(X2,sK3(X0,X1,X2)),apply(X2,sK4(X0,X1,X2))),singleton(apply(X2,sK3(X0,X1,X2)))),X1)
| ~ in(unordered_pair(unordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),singleton(sK3(X0,X1,X2))),X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f160,f170]) ).
fof(f178,plain,
! [X2,X0,X1] :
( relation_isomorphism(X0,X1,X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| ~ in(unordered_pair(unordered_pair(apply(X2,sK3(X0,X1,X2)),apply(X2,sK4(X0,X1,X2))),singleton(apply(X2,sK3(X0,X1,X2)))),X1)
| ~ in(unordered_pair(unordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),singleton(sK3(X0,X1,X2))),X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f177,f169]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(apply(X2,sK3(X0,X1,X2))),unordered_pair(apply(X2,sK3(X0,X1,X2)),apply(X2,sK4(X0,X1,X2)))),X1)
| relation_isomorphism(X0,X1,X2)
| relation_field(X0) != relation_dom(X2)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| ~ in(unordered_pair(unordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),singleton(sK3(X0,X1,X2))),X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f178,f99]) ).
fof(f180,plain,
! [X2,X0,X1] :
( relation_field(X0) != relation_dom(X2)
| ~ in(unordered_pair(singleton(apply(X2,sK3(X0,X1,X2))),unordered_pair(apply(X2,sK3(X0,X1,X2)),apply(X2,sK4(X0,X1,X2)))),X1)
| relation_isomorphism(X0,X1,X2)
| ~ in(unordered_pair(singleton(sK3(X0,X1,X2)),unordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2))),X0)
| relation_rng(X2) != relation_field(X1)
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f179,f99]) ).
fof(f181,plain,
! [X0,X1] :
( ~ relation_isomorphism(X0,X1,sK13)
| ~ relation(sK13)
| relation_field(X1) = relation_rng(sK13)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[],[f114,f148]) ).
fof(f182,plain,
! [X0,X1] :
( ~ relation_isomorphism(X0,X1,sK13)
| relation_field(X1) = relation_rng(sK13)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f181,f149]) ).
fof(f183,plain,
! [X0,X1] :
( ~ relation_isomorphism(X0,X1,sK13)
| ~ relation(sK13)
| one_to_one(sK13)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[],[f113,f148]) ).
fof(f184,plain,
! [X0,X1] :
( ~ relation_isomorphism(X0,X1,sK13)
| one_to_one(sK13)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f183,f149]) ).
fof(f186,definition,
( spl14_1
<=> one_to_one(sK13) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f187,plain,
( one_to_one(sK13)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,definition,
( spl14_2
<=> ! [X0,X1] :
( ~ relation_isomorphism(X0,X1,sK13)
| ~ relation(X0)
| ~ relation(X1) ) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f190,plain,
( ! [X0,X1] :
( ~ relation_isomorphism(X0,X1,sK13)
| ~ relation(X0)
| ~ relation(X1) )
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f191,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f184,f189,f186]) ).
fof(f193,plain,
( ~ relation(sK11)
| ~ relation(sK12)
| ~ spl14_2 ),
inference(resolution,[],[f190,f150]) ).
fof(f195,plain,
( ~ relation(sK12)
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f193,f146]) ).
fof(f196,plain,
( $false
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f195,f147]) ).
fof(f197,plain,
~ spl14_2,
inference(avatar_contradiction_clause,[],[f196]) ).
fof(f198,plain,
( relation_dom(function_inverse(sK13)) = relation_rng(sK13)
| ~ relation(sK13)
| ~ function(sK13)
| ~ spl14_1 ),
inference(resolution,[],[f187,f153]) ).
fof(f199,plain,
( relation_rng(function_inverse(sK13)) = relation_dom(sK13)
| ~ relation(sK13)
| ~ function(sK13)
| ~ spl14_1 ),
inference(resolution,[],[f187,f152]) ).
fof(f200,plain,
( relation_rng(function_inverse(sK13)) = relation_dom(sK13)
| ~ function(sK13)
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f199,f149]) ).
fof(f201,plain,
( relation_dom(function_inverse(sK13)) = relation_rng(sK13)
| ~ function(sK13)
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f198,f149]) ).
fof(f202,plain,
( relation_rng(function_inverse(sK13)) = relation_dom(sK13)
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f200,f148]) ).
fof(f203,plain,
( relation_dom(function_inverse(sK13)) = relation_rng(sK13)
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f201,f148]) ).
fof(f204,plain,
( ! [X0,X1] :
( relation_field(X0) != relation_rng(sK13)
| ~ in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13))))),X1)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| ~ in(unordered_pair(singleton(sK3(X0,X1,function_inverse(sK13))),unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13)))),X0)
| relation_field(X1) != relation_rng(function_inverse(sK13))
| ~ one_to_one(function_inverse(sK13))
| ~ relation(function_inverse(sK13))
| ~ function(function_inverse(sK13))
| ~ relation(X1)
| ~ relation(X0) )
| ~ spl14_1 ),
inference(superposition,[],[f180,f203]) ).
fof(f205,plain,
( ! [X0,X1] :
( relation_field(X0) != relation_rng(sK13)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| relation_field(X1) != relation_rng(function_inverse(sK13))
| ~ one_to_one(function_inverse(sK13))
| in(sK4(X0,X1,function_inverse(sK13)),relation_field(X0))
| ~ relation(function_inverse(sK13))
| ~ function(function_inverse(sK13))
| ~ relation(X1)
| ~ relation(X0) )
| ~ spl14_1 ),
inference(superposition,[],[f175,f203]) ).
fof(f206,plain,
( ! [X0,X1] :
( relation_field(X0) != relation_rng(sK13)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| relation_field(X1) != relation_rng(function_inverse(sK13))
| ~ one_to_one(function_inverse(sK13))
| in(sK3(X0,X1,function_inverse(sK13)),relation_field(X0))
| ~ relation(function_inverse(sK13))
| ~ function(function_inverse(sK13))
| ~ relation(X1)
| ~ relation(X0) )
| ~ spl14_1 ),
inference(superposition,[],[f176,f203]) ).
fof(f207,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_dom(sK13)
| relation_field(X0) != relation_rng(sK13)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| ~ one_to_one(function_inverse(sK13))
| in(sK3(X0,X1,function_inverse(sK13)),relation_field(X0))
| ~ relation(function_inverse(sK13))
| ~ function(function_inverse(sK13))
| ~ relation(X1)
| ~ relation(X0) )
| ~ spl14_1 ),
inference(forward_demodulation,[],[f206,f202]) ).
fof(f208,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_dom(sK13)
| relation_field(X0) != relation_rng(sK13)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| ~ one_to_one(function_inverse(sK13))
| in(sK4(X0,X1,function_inverse(sK13)),relation_field(X0))
| ~ relation(function_inverse(sK13))
| ~ function(function_inverse(sK13))
| ~ relation(X1)
| ~ relation(X0) )
| ~ spl14_1 ),
inference(forward_demodulation,[],[f205,f202]) ).
fof(f209,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_dom(sK13)
| relation_field(X0) != relation_rng(sK13)
| ~ in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13))))),X1)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| ~ in(unordered_pair(singleton(sK3(X0,X1,function_inverse(sK13))),unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13)))),X0)
| ~ one_to_one(function_inverse(sK13))
| ~ relation(function_inverse(sK13))
| ~ function(function_inverse(sK13))
| ~ relation(X1)
| ~ relation(X0) )
| ~ spl14_1 ),
inference(forward_demodulation,[],[f204,f202]) ).
fof(f211,definition,
( spl14_3
<=> function(function_inverse(sK13)) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f212,plain,
( ~ function(function_inverse(sK13))
| spl14_3 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f214,definition,
( spl14_4
<=> relation(function_inverse(sK13)) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f215,plain,
( ~ relation(function_inverse(sK13))
| spl14_4 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f217,definition,
( spl14_5
<=> one_to_one(function_inverse(sK13)) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f218,plain,
( ~ one_to_one(function_inverse(sK13))
| spl14_5 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f220,definition,
( spl14_6
<=> ! [X0,X1] :
( relation_field(X1) != relation_dom(sK13)
| ~ relation(X0)
| ~ relation(X1)
| in(sK3(X0,X1,function_inverse(sK13)),relation_field(X0))
| relation_field(X0) != relation_rng(sK13)
| relation_isomorphism(X0,X1,function_inverse(sK13)) ) ),
introduced(definition,[new_symbols(definition,[spl14_6])],[avatar_definition]) ).
fof(f221,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_dom(sK13)
| ~ relation(X0)
| ~ relation(X1)
| in(sK3(X0,X1,function_inverse(sK13)),relation_field(X0))
| relation_field(X0) != relation_rng(sK13)
| relation_isomorphism(X0,X1,function_inverse(sK13)) )
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f222,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| spl14_6
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f207,f186,f220,f217,f214,f211]) ).
fof(f224,definition,
( spl14_7
<=> ! [X0,X1] :
( relation_field(X1) != relation_dom(sK13)
| ~ relation(X0)
| ~ relation(X1)
| in(sK4(X0,X1,function_inverse(sK13)),relation_field(X0))
| relation_field(X0) != relation_rng(sK13)
| relation_isomorphism(X0,X1,function_inverse(sK13)) ) ),
introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition]) ).
fof(f225,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_dom(sK13)
| ~ relation(X0)
| ~ relation(X1)
| in(sK4(X0,X1,function_inverse(sK13)),relation_field(X0))
| relation_field(X0) != relation_rng(sK13)
| relation_isomorphism(X0,X1,function_inverse(sK13)) )
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f226,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| spl14_7
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f208,f186,f224,f217,f214,f211]) ).
fof(f228,definition,
( spl14_8
<=> ! [X0,X1] :
( relation_field(X1) != relation_dom(sK13)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(sK3(X0,X1,function_inverse(sK13))),unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13)))),X0)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| ~ in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13))))),X1)
| relation_field(X0) != relation_rng(sK13) ) ),
introduced(definition,[new_symbols(definition,[spl14_8])],[avatar_definition]) ).
fof(f229,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_dom(sK13)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(sK3(X0,X1,function_inverse(sK13))),unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13)))),X0)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| ~ in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13))))),X1)
| relation_field(X0) != relation_rng(sK13) )
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| spl14_8
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f209,f186,f228,f217,f214,f211]) ).
fof(f231,plain,
! [X0,X1] :
( ~ relation_isomorphism(X0,X1,sK13)
| ~ relation(sK13)
| relation_field(X0) = relation_dom(sK13)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[],[f115,f148]) ).
fof(f232,plain,
! [X0,X1] :
( ~ relation_isomorphism(X0,X1,sK13)
| relation_field(X0) = relation_dom(sK13)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f231,f149]) ).
fof(f234,plain,
( ~ relation(sK13)
| function(function_inverse(sK13)) ),
inference(resolution,[],[f120,f148]) ).
fof(f236,plain,
function(function_inverse(sK13)),
inference(forward_subsumption_resolution,[],[f234,f149]) ).
fof(f237,plain,
( $false
| spl14_3 ),
inference(forward_subsumption_resolution,[],[f236,f212]) ).
fof(f238,plain,
spl14_3,
inference(avatar_contradiction_clause,[],[f237]) ).
fof(f243,plain,
( relation_field(sK12) = relation_rng(sK13)
| ~ relation(sK12)
| ~ relation(sK11) ),
inference(resolution,[],[f182,f150]) ).
fof(f244,plain,
( relation_field(sK12) = relation_rng(sK13)
| ~ relation(sK11) ),
inference(forward_subsumption_resolution,[],[f243,f147]) ).
fof(f245,plain,
relation_field(sK12) = relation_rng(sK13),
inference(forward_subsumption_resolution,[],[f244,f146]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| in(unordered_pair(unordered_pair(apply(X3,X0),apply(X3,X1)),singleton(apply(X3,X0))),X4)
| ~ relation_isomorphism(X2,X4,X3)
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X4)
| ~ relation(X2) ),
inference(superposition,[],[f167,f99]) ).
fof(f258,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation_isomorphism(X2,X4,X3)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| in(unordered_pair(singleton(apply(X3,X0)),unordered_pair(apply(X3,X0),apply(X3,X1))),X4)
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X4)
| ~ relation(X2) ),
inference(forward_demodulation,[],[f257,f99]) ).
fof(f277,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK11)
| in(unordered_pair(singleton(apply(sK13,X0)),unordered_pair(apply(sK13,X0),apply(sK13,X1))),sK12)
| ~ relation(sK13)
| ~ function(sK13)
| ~ relation(sK12)
| ~ relation(sK11) ),
inference(resolution,[],[f258,f150]) ).
fof(f278,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK11)
| in(unordered_pair(singleton(apply(sK13,X0)),unordered_pair(apply(sK13,X0),apply(sK13,X1))),sK12)
| ~ function(sK13)
| ~ relation(sK12)
| ~ relation(sK11) ),
inference(forward_subsumption_resolution,[],[f277,f149]) ).
fof(f279,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK11)
| in(unordered_pair(singleton(apply(sK13,X0)),unordered_pair(apply(sK13,X0),apply(sK13,X1))),sK12)
| ~ relation(sK12)
| ~ relation(sK11) ),
inference(forward_subsumption_resolution,[],[f278,f148]) ).
fof(f280,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK11)
| in(unordered_pair(singleton(apply(sK13,X0)),unordered_pair(apply(sK13,X0),apply(sK13,X1))),sK12)
| ~ relation(sK11) ),
inference(forward_subsumption_resolution,[],[f279,f147]) ).
fof(f281,plain,
! [X0,X1] :
( in(unordered_pair(singleton(apply(sK13,X0)),unordered_pair(apply(sK13,X0),apply(sK13,X1))),sK12)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK11) ),
inference(forward_subsumption_resolution,[],[f280,f146]) ).
fof(f310,plain,
( relation_field(sK11) = relation_dom(sK13)
| ~ relation(sK12)
| ~ relation(sK11) ),
inference(resolution,[],[f232,f150]) ).
fof(f311,plain,
( relation_field(sK11) = relation_dom(sK13)
| ~ relation(sK11) ),
inference(forward_subsumption_resolution,[],[f310,f147]) ).
fof(f312,plain,
relation_field(sK11) = relation_dom(sK13),
inference(forward_subsumption_resolution,[],[f311,f146]) ).
fof(f348,plain,
( ~ relation(sK13)
| ~ function(sK13)
| spl14_4 ),
inference(resolution,[],[f215,f121]) ).
fof(f350,plain,
( ~ function(sK13)
| spl14_4 ),
inference(forward_subsumption_resolution,[],[f348,f149]) ).
fof(f351,plain,
( $false
| spl14_4 ),
inference(forward_subsumption_resolution,[],[f350,f148]) ).
fof(f352,plain,
spl14_4,
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f383,plain,
( one_to_one(function_inverse(sK13))
| ~ relation(sK13)
| ~ function(sK13)
| ~ spl14_1 ),
inference(resolution,[],[f156,f187]) ).
fof(f385,plain,
( ~ relation(sK13)
| ~ function(sK13)
| ~ spl14_1
| spl14_5 ),
inference(forward_subsumption_resolution,[],[f383,f218]) ).
fof(f386,plain,
( ~ function(sK13)
| ~ spl14_1
| spl14_5 ),
inference(forward_subsumption_resolution,[],[f385,f149]) ).
fof(f387,plain,
( $false
| ~ spl14_1
| spl14_5 ),
inference(forward_subsumption_resolution,[],[f386,f148]) ).
fof(f388,plain,
( ~ spl14_1
| spl14_5 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f392,plain,
( one_to_one(function_inverse(sK13))
| ~ function(sK13)
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f383,f149]) ).
fof(f396,plain,
( one_to_one(function_inverse(sK13))
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f392,f148]) ).
fof(f422,plain,
( ! [X0] :
( in(apply(function_inverse(sK13),X0),relation_dom(sK13))
| ~ in(X0,relation_dom(function_inverse(sK13)))
| ~ relation(function_inverse(sK13))
| ~ function(function_inverse(sK13)) )
| ~ spl14_1 ),
inference(superposition,[],[f172,f202]) ).
fof(f423,plain,
! [X0] :
( in(apply(sK13,X0),relation_field(sK12))
| ~ in(X0,relation_dom(sK13))
| ~ relation(sK13)
| ~ function(sK13) ),
inference(superposition,[],[f172,f245]) ).
fof(f424,plain,
! [X0] :
( in(apply(sK13,X0),relation_field(sK12))
| ~ in(X0,relation_dom(sK13))
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f423,f149]) ).
fof(f425,plain,
( ! [X0] :
( in(apply(function_inverse(sK13),X0),relation_dom(sK13))
| ~ in(X0,relation_dom(function_inverse(sK13)))
| ~ relation(function_inverse(sK13)) )
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f422,f236]) ).
fof(f426,plain,
! [X0] :
( in(apply(sK13,X0),relation_field(sK12))
| ~ in(X0,relation_dom(sK13)) ),
inference(forward_subsumption_resolution,[],[f424,f148]) ).
fof(f427,plain,
( ! [X0] :
( in(apply(function_inverse(sK13),X0),relation_field(sK11))
| ~ in(X0,relation_dom(function_inverse(sK13)))
| ~ relation(function_inverse(sK13)) )
| ~ spl14_1 ),
inference(forward_demodulation,[],[f425,f312]) ).
fof(f428,plain,
! [X0] :
( in(apply(sK13,X0),relation_field(sK12))
| ~ in(X0,relation_field(sK11)) ),
inference(forward_demodulation,[],[f426,f312]) ).
fof(f429,plain,
( ! [X0] :
( ~ in(X0,relation_rng(sK13))
| in(apply(function_inverse(sK13),X0),relation_field(sK11))
| ~ relation(function_inverse(sK13)) )
| ~ spl14_1 ),
inference(forward_demodulation,[],[f427,f203]) ).
fof(f430,plain,
( ! [X0] :
( ~ in(X0,relation_field(sK12))
| in(apply(function_inverse(sK13),X0),relation_field(sK11))
| ~ relation(function_inverse(sK13)) )
| ~ spl14_1 ),
inference(forward_demodulation,[],[f429,f245]) ).
fof(f432,definition,
( spl14_16
<=> ! [X0] :
( ~ in(X0,relation_field(sK12))
| in(apply(function_inverse(sK13),X0),relation_field(sK11)) ) ),
introduced(definition,[new_symbols(definition,[spl14_16])],[avatar_definition]) ).
fof(f433,plain,
( ! [X0] :
( in(apply(function_inverse(sK13),X0),relation_field(sK11))
| ~ in(X0,relation_field(sK12)) )
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f434,plain,
( ~ spl14_4
| spl14_16
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f430,f186,f432,f214]) ).
fof(f435,plain,
( ! [X0] :
( apply(sK13,apply(function_inverse(sK13),X0)) = X0
| ~ in(X0,relation_rng(sK13))
| ~ relation(sK13)
| ~ function(sK13) )
| ~ spl14_1 ),
inference(resolution,[],[f155,f187]) ).
fof(f438,plain,
( ! [X0] :
( apply(sK13,apply(function_inverse(sK13),X0)) = X0
| ~ in(X0,relation_rng(sK13))
| ~ function(sK13) )
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f435,f149]) ).
fof(f440,plain,
( ! [X0] :
( apply(sK13,apply(function_inverse(sK13),X0)) = X0
| ~ in(X0,relation_rng(sK13)) )
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f438,f148]) ).
fof(f442,plain,
( ! [X0] :
( ~ in(X0,relation_field(sK12))
| apply(sK13,apply(function_inverse(sK13),X0)) = X0 )
| ~ spl14_1 ),
inference(forward_demodulation,[],[f440,f245]) ).
fof(f483,definition,
( spl14_21
<=> in(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))),relation_field(sK11)) ),
introduced(definition,[new_symbols(definition,[spl14_21])],[avatar_definition]) ).
fof(f484,plain,
( ~ in(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))),relation_field(sK11))
| spl14_21 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f486,definition,
( spl14_22
<=> in(sK3(sK12,sK11,function_inverse(sK13)),relation_field(sK12)) ),
introduced(definition,[new_symbols(definition,[spl14_22])],[avatar_definition]) ).
fof(f487,plain,
( in(sK3(sK12,sK11,function_inverse(sK13)),relation_field(sK12))
| ~ spl14_22 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f493,plain,
( ~ in(sK3(sK12,sK11,function_inverse(sK13)),relation_field(sK12))
| ~ spl14_16
| spl14_21 ),
inference(resolution,[],[f484,f433]) ).
fof(f499,plain,
( sK3(sK12,sK11,function_inverse(sK13)) = apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))))
| ~ spl14_1
| ~ spl14_22 ),
inference(resolution,[],[f487,f442]) ).
fof(f518,definition,
( spl14_23
<=> in(apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))),relation_field(sK11)) ),
introduced(definition,[new_symbols(definition,[spl14_23])],[avatar_definition]) ).
fof(f519,plain,
( ~ in(apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))),relation_field(sK11))
| spl14_23 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f521,definition,
( spl14_24
<=> in(sK4(sK12,sK11,function_inverse(sK13)),relation_field(sK12)) ),
introduced(definition,[new_symbols(definition,[spl14_24])],[avatar_definition]) ).
fof(f522,plain,
( in(sK4(sK12,sK11,function_inverse(sK13)),relation_field(sK12))
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f528,plain,
( ~ in(sK4(sK12,sK11,function_inverse(sK13)),relation_field(sK12))
| ~ spl14_16
| spl14_23 ),
inference(resolution,[],[f519,f433]) ).
fof(f534,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_field(sK11)
| ~ relation(X0)
| ~ relation(X1)
| in(sK3(X0,X1,function_inverse(sK13)),relation_field(X0))
| relation_field(X0) != relation_rng(sK13)
| relation_isomorphism(X0,X1,function_inverse(sK13)) )
| ~ spl14_6 ),
inference(forward_demodulation,[],[f221,f312]) ).
fof(f535,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_field(sK11)
| ~ relation(X0)
| ~ relation(X1)
| in(sK4(X0,X1,function_inverse(sK13)),relation_field(X0))
| relation_field(X0) != relation_rng(sK13)
| relation_isomorphism(X0,X1,function_inverse(sK13)) )
| ~ spl14_7 ),
inference(forward_demodulation,[],[f225,f312]) ).
fof(f536,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_field(sK11)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(sK3(X0,X1,function_inverse(sK13))),unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13)))),X0)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| ~ in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13))))),X1)
| relation_field(X0) != relation_rng(sK13) )
| ~ spl14_8 ),
inference(forward_demodulation,[],[f229,f312]) ).
fof(f537,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_field(sK11)
| relation_field(X0) != relation_field(sK12)
| ~ relation(X0)
| ~ relation(X1)
| in(sK3(X0,X1,function_inverse(sK13)),relation_field(X0))
| relation_isomorphism(X0,X1,function_inverse(sK13)) )
| ~ spl14_6 ),
inference(forward_demodulation,[],[f534,f245]) ).
fof(f538,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_field(sK11)
| relation_field(X0) != relation_field(sK12)
| ~ relation(X0)
| ~ relation(X1)
| in(sK4(X0,X1,function_inverse(sK13)),relation_field(X0))
| relation_isomorphism(X0,X1,function_inverse(sK13)) )
| ~ spl14_7 ),
inference(forward_demodulation,[],[f535,f245]) ).
fof(f539,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_field(sK11)
| relation_field(X0) != relation_field(sK12)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(sK3(X0,X1,function_inverse(sK13))),unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13)))),X0)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| ~ in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13))))),X1) )
| ~ spl14_8 ),
inference(forward_demodulation,[],[f536,f245]) ).
fof(f540,plain,
( ! [X0] :
( relation_field(X0) != relation_field(sK12)
| ~ relation(X0)
| ~ relation(sK11)
| in(sK3(X0,sK11,function_inverse(sK13)),relation_field(X0))
| relation_isomorphism(X0,sK11,function_inverse(sK13)) )
| ~ spl14_6 ),
inference(equality_resolution,[],[f537]) ).
fof(f541,plain,
( ! [X0] :
( in(sK3(X0,sK11,function_inverse(sK13)),relation_field(X0))
| ~ relation(X0)
| relation_field(X0) != relation_field(sK12)
| relation_isomorphism(X0,sK11,function_inverse(sK13)) )
| ~ spl14_6 ),
inference(forward_subsumption_resolution,[],[f540,f146]) ).
fof(f542,plain,
( ~ relation(sK12)
| relation_field(sK12) != relation_field(sK12)
| relation_isomorphism(sK12,sK11,function_inverse(sK13))
| sK3(sK12,sK11,function_inverse(sK13)) = apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))))
| ~ spl14_1
| ~ spl14_6 ),
inference(resolution,[],[f541,f442]) ).
fof(f543,plain,
( ~ relation(sK12)
| relation_isomorphism(sK12,sK11,function_inverse(sK13))
| sK3(sK12,sK11,function_inverse(sK13)) = apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))))
| ~ spl14_1
| ~ spl14_6 ),
inference(trivial_inequality_removal,[],[f542]) ).
fof(f544,plain,
( ! [X0] :
( relation_field(X0) != relation_field(sK12)
| ~ relation(X0)
| ~ relation(sK11)
| in(sK4(X0,sK11,function_inverse(sK13)),relation_field(X0))
| relation_isomorphism(X0,sK11,function_inverse(sK13)) )
| ~ spl14_7 ),
inference(equality_resolution,[],[f538]) ).
fof(f545,plain,
( ! [X0] :
( relation_field(X0) != relation_field(sK12)
| ~ relation(X0)
| in(sK4(X0,sK11,function_inverse(sK13)),relation_field(X0))
| relation_isomorphism(X0,sK11,function_inverse(sK13)) )
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f544,f146]) ).
fof(f546,plain,
( ~ relation(sK12)
| in(sK4(sK12,sK11,function_inverse(sK13)),relation_field(sK12))
| relation_isomorphism(sK12,sK11,function_inverse(sK13))
| ~ spl14_7 ),
inference(equality_resolution,[],[f545]) ).
fof(f547,plain,
( in(sK4(sK12,sK11,function_inverse(sK13)),relation_field(sK12))
| relation_isomorphism(sK12,sK11,function_inverse(sK13))
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f546,f147]) ).
fof(f548,plain,
( relation_isomorphism(sK12,sK11,function_inverse(sK13))
| ~ spl14_7
| ~ spl14_16
| spl14_23 ),
inference(forward_subsumption_resolution,[],[f547,f528]) ).
fof(f549,plain,
( $false
| ~ spl14_7
| ~ spl14_16
| spl14_23 ),
inference(forward_subsumption_resolution,[],[f548,f151]) ).
fof(f550,plain,
( ~ spl14_7
| ~ spl14_16
| spl14_23 ),
inference(avatar_contradiction_clause,[],[f549]) ).
fof(f551,plain,
( in(sK4(sK12,sK11,function_inverse(sK13)),relation_field(sK12))
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f547,f151]) ).
fof(f552,plain,
( spl14_24
| ~ spl14_7 ),
inference(avatar_split_clause,[],[f551,f224,f521]) ).
fof(f553,plain,
( sK4(sK12,sK11,function_inverse(sK13)) = apply(sK13,apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))))
| ~ spl14_1
| ~ spl14_24 ),
inference(resolution,[],[f522,f442]) ).
fof(f578,plain,
( ! [X0] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))))),sK11)
| in(unordered_pair(singleton(apply(sK13,X0)),unordered_pair(apply(sK13,X0),sK4(sK12,sK11,function_inverse(sK13)))),sK12) )
| ~ spl14_1
| ~ spl14_24 ),
inference(superposition,[],[f281,f553]) ).
fof(f596,plain,
( ! [X0] :
( relation_field(X0) != relation_field(sK12)
| ~ relation(X0)
| ~ relation(sK11)
| ~ in(unordered_pair(singleton(sK3(X0,sK11,function_inverse(sK13))),unordered_pair(sK3(X0,sK11,function_inverse(sK13)),sK4(X0,sK11,function_inverse(sK13)))),X0)
| relation_isomorphism(X0,sK11,function_inverse(sK13))
| ~ in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(X0,sK11,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(X0,sK11,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,sK11,function_inverse(sK13))))),sK11) )
| ~ spl14_8 ),
inference(equality_resolution,[],[f539]) ).
fof(f597,plain,
( ! [X0] :
( relation_field(X0) != relation_field(sK12)
| ~ relation(X0)
| ~ in(unordered_pair(singleton(sK3(X0,sK11,function_inverse(sK13))),unordered_pair(sK3(X0,sK11,function_inverse(sK13)),sK4(X0,sK11,function_inverse(sK13)))),X0)
| relation_isomorphism(X0,sK11,function_inverse(sK13))
| ~ in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(X0,sK11,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(X0,sK11,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,sK11,function_inverse(sK13))))),sK11) )
| ~ spl14_8 ),
inference(forward_subsumption_resolution,[],[f596,f146]) ).
fof(f598,plain,
( ~ relation(sK12)
| ~ in(unordered_pair(singleton(sK3(sK12,sK11,function_inverse(sK13))),unordered_pair(sK3(sK12,sK11,function_inverse(sK13)),sK4(sK12,sK11,function_inverse(sK13)))),sK12)
| relation_isomorphism(sK12,sK11,function_inverse(sK13))
| ~ in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))),apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))))),sK11)
| ~ spl14_8 ),
inference(equality_resolution,[],[f597]) ).
fof(f599,plain,
( ~ in(unordered_pair(singleton(sK3(sK12,sK11,function_inverse(sK13))),unordered_pair(sK3(sK12,sK11,function_inverse(sK13)),sK4(sK12,sK11,function_inverse(sK13)))),sK12)
| relation_isomorphism(sK12,sK11,function_inverse(sK13))
| ~ in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))),apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))))),sK11)
| ~ spl14_8 ),
inference(forward_subsumption_resolution,[],[f598,f147]) ).
fof(f600,plain,
( ~ in(unordered_pair(singleton(sK3(sK12,sK11,function_inverse(sK13))),unordered_pair(sK3(sK12,sK11,function_inverse(sK13)),sK4(sK12,sK11,function_inverse(sK13)))),sK12)
| ~ in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))),apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))))),sK11)
| ~ spl14_8 ),
inference(forward_subsumption_resolution,[],[f599,f151]) ).
fof(f602,definition,
( spl14_25
<=> in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))),apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))))),sK11) ),
introduced(definition,[new_symbols(definition,[spl14_25])],[avatar_definition]) ).
fof(f603,plain,
( ~ in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))),apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))))),sK11)
| spl14_25 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f605,definition,
( spl14_26
<=> in(unordered_pair(singleton(sK3(sK12,sK11,function_inverse(sK13))),unordered_pair(sK3(sK12,sK11,function_inverse(sK13)),sK4(sK12,sK11,function_inverse(sK13)))),sK12) ),
introduced(definition,[new_symbols(definition,[spl14_26])],[avatar_definition]) ).
fof(f606,plain,
( ~ in(unordered_pair(singleton(sK3(sK12,sK11,function_inverse(sK13))),unordered_pair(sK3(sK12,sK11,function_inverse(sK13)),sK4(sK12,sK11,function_inverse(sK13)))),sK12)
| spl14_26 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f607,plain,
( ~ spl14_25
| ~ spl14_26
| ~ spl14_8 ),
inference(avatar_split_clause,[],[f600,f228,f605,f602]) ).
fof(f630,plain,
! [X0,X1] :
( ~ in(X0,relation_field(sK11))
| ~ in(X1,relation_field(sK11))
| ~ in(unordered_pair(unordered_pair(apply(sK13,X0),apply(sK13,X1)),singleton(apply(sK13,X0))),sK12)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK11)
| ~ relation(sK13)
| ~ function(sK13)
| ~ relation(sK12)
| ~ relation(sK11) ),
inference(resolution,[],[f164,f150]) ).
fof(f631,plain,
! [X0,X1] :
( ~ in(X0,relation_field(sK11))
| ~ in(X1,relation_field(sK11))
| ~ in(unordered_pair(unordered_pair(apply(sK13,X0),apply(sK13,X1)),singleton(apply(sK13,X0))),sK12)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK11)
| ~ function(sK13)
| ~ relation(sK12)
| ~ relation(sK11) ),
inference(forward_subsumption_resolution,[],[f630,f149]) ).
fof(f632,plain,
! [X0,X1] :
( ~ in(X0,relation_field(sK11))
| ~ in(X1,relation_field(sK11))
| ~ in(unordered_pair(unordered_pair(apply(sK13,X0),apply(sK13,X1)),singleton(apply(sK13,X0))),sK12)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK11)
| ~ relation(sK12)
| ~ relation(sK11) ),
inference(forward_subsumption_resolution,[],[f631,f148]) ).
fof(f633,plain,
! [X0,X1] :
( ~ in(X0,relation_field(sK11))
| ~ in(X1,relation_field(sK11))
| ~ in(unordered_pair(unordered_pair(apply(sK13,X0),apply(sK13,X1)),singleton(apply(sK13,X0))),sK12)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK11)
| ~ relation(sK11) ),
inference(forward_subsumption_resolution,[],[f632,f147]) ).
fof(f634,plain,
! [X0,X1] :
( ~ in(X0,relation_field(sK11))
| ~ in(X1,relation_field(sK11))
| ~ in(unordered_pair(unordered_pair(apply(sK13,X0),apply(sK13,X1)),singleton(apply(sK13,X0))),sK12)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK11) ),
inference(forward_subsumption_resolution,[],[f633,f146]) ).
fof(f635,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(apply(sK13,X0)),unordered_pair(apply(sK13,X0),apply(sK13,X1))),sK12)
| ~ in(X0,relation_field(sK11))
| ~ in(X1,relation_field(sK11))
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK11) ),
inference(forward_demodulation,[],[f634,f99]) ).
fof(f636,plain,
! [X0,X1] :
( ~ in(X1,relation_field(sK11))
| ~ in(unordered_pair(singleton(apply(sK13,X0)),unordered_pair(apply(sK13,X0),apply(sK13,X1))),sK12)
| ~ in(X0,relation_field(sK11))
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK11) ),
inference(forward_demodulation,[],[f635,f99]) ).
fof(f801,plain,
( in(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))),relation_field(sK11))
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f828,plain,
( in(apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))),relation_field(sK11))
| ~ spl14_23 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f838,plain,
( ! [X0] :
( ~ in(unordered_pair(singleton(apply(sK13,X0)),unordered_pair(apply(sK13,X0),apply(sK13,apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13)))))),sK12)
| ~ in(X0,relation_field(sK11))
| in(unordered_pair(singleton(X0),unordered_pair(X0,apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))))),sK11) )
| ~ spl14_23 ),
inference(resolution,[],[f828,f636]) ).
fof(f840,plain,
( ! [X0] :
( ~ in(X0,relation_field(sK11))
| ~ in(unordered_pair(singleton(apply(sK13,X0)),unordered_pair(apply(sK13,X0),sK4(sK12,sK11,function_inverse(sK13)))),sK12)
| in(unordered_pair(singleton(X0),unordered_pair(X0,apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))))),sK11) )
| ~ spl14_1
| ~ spl14_23
| ~ spl14_24 ),
inference(forward_demodulation,[],[f838,f553]) ).
fof(f850,plain,
( ~ in(unordered_pair(singleton(apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))))),unordered_pair(apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))),sK4(sK12,sK11,function_inverse(sK13)))),sK12)
| in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))),apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))))),sK11)
| ~ spl14_1
| ~ spl14_21
| ~ spl14_23
| ~ spl14_24 ),
inference(resolution,[],[f840,f801]) ).
fof(f861,plain,
( ~ in(unordered_pair(singleton(apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))))),unordered_pair(apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))),sK4(sK12,sK11,function_inverse(sK13)))),sK12)
| ~ spl14_1
| ~ spl14_21
| ~ spl14_23
| ~ spl14_24
| spl14_25 ),
inference(forward_subsumption_resolution,[],[f850,f603]) ).
fof(f866,plain,
( ~ in(unordered_pair(singleton(apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))))),unordered_pair(sK4(sK12,sK11,function_inverse(sK13)),apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))))),sK12)
| ~ spl14_1
| ~ spl14_21
| ~ spl14_23
| ~ spl14_24
| spl14_25 ),
inference(forward_demodulation,[],[f861,f99]) ).
fof(f874,plain,
( ~ in(unordered_pair(singleton(sK3(sK12,sK11,function_inverse(sK13))),unordered_pair(sK4(sK12,sK11,function_inverse(sK13)),sK3(sK12,sK11,function_inverse(sK13)))),sK12)
| ~ spl14_1
| ~ spl14_21
| ~ spl14_22
| ~ spl14_23
| ~ spl14_24
| spl14_25 ),
inference(forward_demodulation,[],[f866,f499]) ).
fof(f875,plain,
( ~ in(unordered_pair(singleton(sK3(sK12,sK11,function_inverse(sK13))),unordered_pair(sK3(sK12,sK11,function_inverse(sK13)),sK4(sK12,sK11,function_inverse(sK13)))),sK12)
| ~ spl14_1
| ~ spl14_21
| ~ spl14_22
| ~ spl14_23
| ~ spl14_24
| spl14_25 ),
inference(forward_demodulation,[],[f874,f99]) ).
fof(f876,plain,
( ~ spl14_26
| ~ spl14_1
| ~ spl14_21
| ~ spl14_22
| ~ spl14_23
| ~ spl14_24
| spl14_25 ),
inference(avatar_split_clause,[],[f875,f602,f521,f518,f486,f483,f186,f605]) ).
fof(f991,plain,
( ! [X0,X1] :
( relation_field(X0) != relation_dom(function_inverse(sK13))
| relation_field(X1) != relation_rng(function_inverse(sK13))
| relation_isomorphism(X0,X1,function_inverse(sK13))
| in(unordered_pair(unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13)))),singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))))),X1)
| in(unordered_pair(unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13))),singleton(sK3(X0,X1,function_inverse(sK13)))),X0)
| ~ relation(function_inverse(sK13))
| ~ function(function_inverse(sK13))
| ~ relation(X1)
| ~ relation(X0) )
| ~ spl14_1 ),
inference(resolution,[],[f163,f396]) ).
fof(f992,plain,
( ! [X0,X1] :
( relation_field(X0) != relation_dom(function_inverse(sK13))
| relation_field(X1) != relation_rng(function_inverse(sK13))
| relation_isomorphism(X0,X1,function_inverse(sK13))
| in(unordered_pair(unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13)))),singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))))),X1)
| in(unordered_pair(unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13))),singleton(sK3(X0,X1,function_inverse(sK13)))),X0)
| ~ relation(function_inverse(sK13))
| ~ relation(X1)
| ~ relation(X0) )
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f991,f236]) ).
fof(f994,plain,
( ! [X0,X1] :
( relation_field(X0) != relation_rng(sK13)
| relation_field(X1) != relation_rng(function_inverse(sK13))
| relation_isomorphism(X0,X1,function_inverse(sK13))
| in(unordered_pair(unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13)))),singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))))),X1)
| in(unordered_pair(unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13))),singleton(sK3(X0,X1,function_inverse(sK13)))),X0)
| ~ relation(function_inverse(sK13))
| ~ relation(X1)
| ~ relation(X0) )
| ~ spl14_1 ),
inference(forward_demodulation,[],[f992,f203]) ).
fof(f996,plain,
( ! [X0,X1] :
( relation_field(X0) != relation_field(sK12)
| relation_field(X1) != relation_rng(function_inverse(sK13))
| relation_isomorphism(X0,X1,function_inverse(sK13))
| in(unordered_pair(unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13)))),singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))))),X1)
| in(unordered_pair(unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13))),singleton(sK3(X0,X1,function_inverse(sK13)))),X0)
| ~ relation(function_inverse(sK13))
| ~ relation(X1)
| ~ relation(X0) )
| ~ spl14_1 ),
inference(forward_demodulation,[],[f994,f245]) ).
fof(f998,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_dom(sK13)
| relation_field(X0) != relation_field(sK12)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| in(unordered_pair(unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13)))),singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))))),X1)
| in(unordered_pair(unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13))),singleton(sK3(X0,X1,function_inverse(sK13)))),X0)
| ~ relation(function_inverse(sK13))
| ~ relation(X1)
| ~ relation(X0) )
| ~ spl14_1 ),
inference(forward_demodulation,[],[f996,f202]) ).
fof(f1000,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_field(sK11)
| relation_field(X0) != relation_field(sK12)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| in(unordered_pair(unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13)))),singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))))),X1)
| in(unordered_pair(unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13))),singleton(sK3(X0,X1,function_inverse(sK13)))),X0)
| ~ relation(function_inverse(sK13))
| ~ relation(X1)
| ~ relation(X0) )
| ~ spl14_1 ),
inference(forward_demodulation,[],[f998,f312]) ).
fof(f1002,plain,
( ! [X0,X1] :
( in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13))))),X1)
| relation_field(X1) != relation_field(sK11)
| relation_field(X0) != relation_field(sK12)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| in(unordered_pair(unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13))),singleton(sK3(X0,X1,function_inverse(sK13)))),X0)
| ~ relation(function_inverse(sK13))
| ~ relation(X1)
| ~ relation(X0) )
| ~ spl14_1 ),
inference(forward_demodulation,[],[f1000,f99]) ).
fof(f1004,plain,
( ! [X0,X1] :
( in(unordered_pair(singleton(sK3(X0,X1,function_inverse(sK13))),unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13)))),X0)
| in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13))))),X1)
| relation_field(X1) != relation_field(sK11)
| relation_field(X0) != relation_field(sK12)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| ~ relation(function_inverse(sK13))
| ~ relation(X1)
| ~ relation(X0) )
| ~ spl14_1 ),
inference(forward_demodulation,[],[f1002,f99]) ).
fof(f1006,definition,
( spl14_39
<=> ! [X0,X1] :
( in(unordered_pair(singleton(sK3(X0,X1,function_inverse(sK13))),unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13)))),X0)
| ~ relation(X0)
| ~ relation(X1)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| relation_field(X0) != relation_field(sK12)
| relation_field(X1) != relation_field(sK11)
| in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13))))),X1) ) ),
introduced(definition,[new_symbols(definition,[spl14_39])],[avatar_definition]) ).
fof(f1007,plain,
( ! [X0,X1] :
( relation_field(X1) != relation_field(sK11)
| ~ relation(X0)
| ~ relation(X1)
| relation_isomorphism(X0,X1,function_inverse(sK13))
| relation_field(X0) != relation_field(sK12)
| in(unordered_pair(singleton(sK3(X0,X1,function_inverse(sK13))),unordered_pair(sK3(X0,X1,function_inverse(sK13)),sK4(X0,X1,function_inverse(sK13)))),X0)
| in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(X0,X1,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,X1,function_inverse(sK13))))),X1) )
| ~ spl14_39 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1008,plain,
( ~ spl14_4
| spl14_39
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f1004,f186,f1006,f214]) ).
fof(f1009,plain,
( ! [X0] :
( ~ relation(X0)
| ~ relation(sK11)
| relation_isomorphism(X0,sK11,function_inverse(sK13))
| relation_field(X0) != relation_field(sK12)
| in(unordered_pair(singleton(sK3(X0,sK11,function_inverse(sK13))),unordered_pair(sK3(X0,sK11,function_inverse(sK13)),sK4(X0,sK11,function_inverse(sK13)))),X0)
| in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(X0,sK11,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(X0,sK11,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,sK11,function_inverse(sK13))))),sK11) )
| ~ spl14_39 ),
inference(equality_resolution,[],[f1007]) ).
fof(f1010,plain,
( ! [X0] :
( relation_field(X0) != relation_field(sK12)
| relation_isomorphism(X0,sK11,function_inverse(sK13))
| ~ relation(X0)
| in(unordered_pair(singleton(sK3(X0,sK11,function_inverse(sK13))),unordered_pair(sK3(X0,sK11,function_inverse(sK13)),sK4(X0,sK11,function_inverse(sK13)))),X0)
| in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(X0,sK11,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(X0,sK11,function_inverse(sK13))),apply(function_inverse(sK13),sK4(X0,sK11,function_inverse(sK13))))),sK11) )
| ~ spl14_39 ),
inference(forward_subsumption_resolution,[],[f1009,f146]) ).
fof(f1011,plain,
( relation_isomorphism(sK12,sK11,function_inverse(sK13))
| ~ relation(sK12)
| in(unordered_pair(singleton(sK3(sK12,sK11,function_inverse(sK13))),unordered_pair(sK3(sK12,sK11,function_inverse(sK13)),sK4(sK12,sK11,function_inverse(sK13)))),sK12)
| in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))),apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))))),sK11)
| ~ spl14_39 ),
inference(equality_resolution,[],[f1010]) ).
fof(f1012,plain,
( ~ relation(sK12)
| in(unordered_pair(singleton(sK3(sK12,sK11,function_inverse(sK13))),unordered_pair(sK3(sK12,sK11,function_inverse(sK13)),sK4(sK12,sK11,function_inverse(sK13)))),sK12)
| in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))),apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))))),sK11)
| ~ spl14_39 ),
inference(forward_subsumption_resolution,[],[f1011,f151]) ).
fof(f1013,plain,
( in(unordered_pair(singleton(sK3(sK12,sK11,function_inverse(sK13))),unordered_pair(sK3(sK12,sK11,function_inverse(sK13)),sK4(sK12,sK11,function_inverse(sK13)))),sK12)
| in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))),apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))))),sK11)
| ~ spl14_39 ),
inference(forward_subsumption_resolution,[],[f1012,f147]) ).
fof(f1014,plain,
( in(unordered_pair(singleton(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))),unordered_pair(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))),apply(function_inverse(sK13),sK4(sK12,sK11,function_inverse(sK13))))),sK11)
| spl14_26
| ~ spl14_39 ),
inference(forward_subsumption_resolution,[],[f1013,f606]) ).
fof(f1022,plain,
( in(unordered_pair(singleton(apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))))),unordered_pair(apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))),sK4(sK12,sK11,function_inverse(sK13)))),sK12)
| ~ spl14_1
| ~ spl14_24
| spl14_26
| ~ spl14_39 ),
inference(resolution,[],[f1014,f578]) ).
fof(f1023,plain,
( in(unordered_pair(singleton(apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))))),unordered_pair(sK4(sK12,sK11,function_inverse(sK13)),apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13)))))),sK12)
| ~ spl14_1
| ~ spl14_24
| spl14_26
| ~ spl14_39 ),
inference(forward_demodulation,[],[f1022,f99]) ).
fof(f1027,plain,
( in(unordered_pair(singleton(sK3(sK12,sK11,function_inverse(sK13))),unordered_pair(sK4(sK12,sK11,function_inverse(sK13)),sK3(sK12,sK11,function_inverse(sK13)))),sK12)
| ~ spl14_1
| ~ spl14_22
| ~ spl14_24
| spl14_26
| ~ spl14_39 ),
inference(forward_demodulation,[],[f1023,f499]) ).
fof(f1032,plain,
( in(unordered_pair(singleton(sK3(sK12,sK11,function_inverse(sK13))),unordered_pair(sK3(sK12,sK11,function_inverse(sK13)),sK4(sK12,sK11,function_inverse(sK13)))),sK12)
| ~ spl14_1
| ~ spl14_22
| ~ spl14_24
| spl14_26
| ~ spl14_39 ),
inference(forward_demodulation,[],[f1027,f99]) ).
fof(f1037,plain,
( $false
| ~ spl14_1
| ~ spl14_22
| ~ spl14_24
| spl14_26
| ~ spl14_39 ),
inference(forward_subsumption_resolution,[],[f1032,f606]) ).
fof(f1038,plain,
( ~ spl14_1
| ~ spl14_22
| ~ spl14_24
| spl14_26
| ~ spl14_39 ),
inference(avatar_contradiction_clause,[],[f1037]) ).
fof(f1039,plain,
( relation_isomorphism(sK12,sK11,function_inverse(sK13))
| sK3(sK12,sK11,function_inverse(sK13)) = apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))))
| ~ spl14_1
| ~ spl14_6 ),
inference(forward_subsumption_resolution,[],[f543,f147]) ).
fof(f1046,plain,
( sK3(sK12,sK11,function_inverse(sK13)) = apply(sK13,apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))))
| ~ spl14_1
| ~ spl14_6 ),
inference(forward_subsumption_resolution,[],[f1039,f151]) ).
fof(f1058,plain,
( in(sK3(sK12,sK11,function_inverse(sK13)),relation_field(sK12))
| ~ in(apply(function_inverse(sK13),sK3(sK12,sK11,function_inverse(sK13))),relation_field(sK11))
| ~ spl14_1
| ~ spl14_6 ),
inference(superposition,[],[f428,f1046]) ).
fof(f1061,plain,
( in(sK3(sK12,sK11,function_inverse(sK13)),relation_field(sK12))
| ~ spl14_1
| ~ spl14_6
| ~ spl14_21 ),
inference(forward_subsumption_resolution,[],[f1058,f801]) ).
fof(f1063,plain,
( spl14_22
| ~ spl14_1
| ~ spl14_6
| ~ spl14_21 ),
inference(avatar_split_clause,[],[f1061,f483,f220,f186,f486]) ).
fof(f1142,plain,
( ~ relation(sK12)
| relation_field(sK12) != relation_field(sK12)
| relation_isomorphism(sK12,sK11,function_inverse(sK13))
| ~ spl14_6
| ~ spl14_16
| spl14_21 ),
inference(resolution,[],[f493,f541]) ).
fof(f1143,plain,
( ~ relation(sK12)
| relation_isomorphism(sK12,sK11,function_inverse(sK13))
| ~ spl14_6
| ~ spl14_16
| spl14_21 ),
inference(trivial_inequality_removal,[],[f1142]) ).
fof(f1145,plain,
( relation_isomorphism(sK12,sK11,function_inverse(sK13))
| ~ spl14_6
| ~ spl14_16
| spl14_21 ),
inference(forward_subsumption_resolution,[],[f1143,f147]) ).
fof(f1146,plain,
( $false
| ~ spl14_6
| ~ spl14_16
| spl14_21 ),
inference(forward_subsumption_resolution,[],[f1145,f151]) ).
fof(f1147,plain,
( ~ spl14_6
| ~ spl14_16
| spl14_21 ),
inference(avatar_contradiction_clause,[],[f1146]) ).
cnf(s1,plain,
( spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f191]) ).
cnf(s3,plain,
~ spl14_2,
inference(sat_conversion,[],[f197]) ).
cnf(s4,plain,
( ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| spl14_6 ),
inference(sat_conversion,[],[f222]) ).
cnf(s5,plain,
( ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| spl14_7 ),
inference(sat_conversion,[],[f226]) ).
cnf(s6,plain,
( ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| spl14_8 ),
inference(sat_conversion,[],[f230]) ).
cnf(s8,plain,
spl14_3,
inference(sat_conversion,[],[f238]) ).
cnf(s10,plain,
spl14_4,
inference(sat_conversion,[],[f352]) ).
cnf(s16,plain,
( ~ spl14_1
| spl14_5 ),
inference(sat_conversion,[],[f388]) ).
cnf(s20,plain,
( ~ spl14_1
| ~ spl14_4
| spl14_16 ),
inference(sat_conversion,[],[f434]) ).
cnf(s30,plain,
( ~ spl14_7
| ~ spl14_16
| spl14_23 ),
inference(sat_conversion,[],[f550]) ).
cnf(s31,plain,
( ~ spl14_7
| spl14_24 ),
inference(sat_conversion,[],[f552]) ).
cnf(s32,plain,
( ~ spl14_8
| ~ spl14_25
| ~ spl14_26 ),
inference(sat_conversion,[],[f607]) ).
cnf(s41,plain,
( ~ spl14_1
| ~ spl14_21
| ~ spl14_22
| ~ spl14_23
| ~ spl14_24
| spl14_25
| ~ spl14_26 ),
inference(sat_conversion,[],[f876]) ).
cnf(s44,plain,
( ~ spl14_1
| ~ spl14_4
| spl14_39 ),
inference(sat_conversion,[],[f1008]) ).
cnf(s49,plain,
( ~ spl14_1
| ~ spl14_22
| ~ spl14_24
| spl14_26
| ~ spl14_39 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s51,plain,
( ~ spl14_1
| ~ spl14_6
| ~ spl14_21
| spl14_22 ),
inference(sat_conversion,[],[f1063]) ).
cnf(s57,plain,
( ~ spl14_6
| ~ spl14_16
| spl14_21 ),
inference(sat_conversion,[],[f1147]) ).
cnf(s59,plain,
( ~ spl14_1
| ~ spl14_5
| spl14_8 ),
inference(rat,[],[s6,s10,s8]) ).
cnf(s60,plain,
( ~ spl14_1
| ~ spl14_5
| spl14_7 ),
inference(rat,[],[s5,s10,s8]) ).
cnf(s61,plain,
( ~ spl14_1
| ~ spl14_5
| spl14_6 ),
inference(rat,[],[s4,s10,s8]) ).
cnf(s62,plain,
spl14_1,
inference(rat,[],[s1,s3]) ).
cnf(s63,plain,
spl14_39,
inference(rat,[],[s44,s10,s62]) ).
cnf(s67,plain,
spl14_16,
inference(rat,[],[s20,s10,s62]) ).
cnf(s71,plain,
spl14_5,
inference(rat,[],[s16,s62]) ).
cnf(s74,plain,
spl14_8,
inference(rat,[],[s59,s62,s71]) ).
cnf(s75,plain,
spl14_7,
inference(rat,[],[s60,s62,s71]) ).
cnf(s76,plain,
spl14_6,
inference(rat,[],[s61,s62,s71]) ).
cnf(s77,plain,
spl14_24,
inference(rat,[],[s31,s75]) ).
cnf(s78,plain,
spl14_23,
inference(rat,[],[s30,s67,s75]) ).
cnf(s79,plain,
spl14_21,
inference(rat,[],[s57,s67,s76]) ).
cnf(s80,plain,
spl14_22,
inference(rat,[],[s51,s76,s62,s79]) ).
cnf(s81,plain,
spl14_26,
inference(rat,[],[s49,s63,s77,s62,s80]) ).
cnf(s82,plain,
spl14_25,
inference(rat,[],[s41,s81,s79,s77,s78,s62,s80]) ).
cnf(s83,plain,
$false,
inference(rat,[],[s32,s74,s81,s82]) ).
fof(f1148,plain,
$false,
inference(avatar_sat_refutation,[],[s83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU259+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 04:26:32 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 6.35/1.88 % (3256088)Detected formulas, will run a generic FOF schedule.
% 6.35/1.88 % (3256097)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=134271637:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.35/1.88 % (3256093)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=1522443723:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.35/1.88 % (3256096)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4245036309:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.35/1.88 % (3256095)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=509793633:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.35/1.88 % (3256094)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=599856626:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.35/1.88 % (3256096)Refutation not found, incomplete strategy
% 6.35/1.88 % (3256096)------------------------------
% 6.35/1.88 % (3256096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (3256096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (3256096)CaDiCaL version: 2.1.3
% 6.35/1.88 % (3256096)Termination reason: Refutation not found, incomplete strategy
% 6.35/1.88 % (3256096)Time elapsed: 0.003 s
% 6.35/1.88 % (3256096)Peak memory usage: 88 MB
% 6.35/1.88 % (3256096)Instructions burned: 2 (million)
% 6.35/1.88 % (3256097)Instruction limit reached!
% 6.35/1.88 % (3256097)------------------------------
% 6.35/1.88 % (3256097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (3256097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (3256097)CaDiCaL version: 2.1.3
% 6.35/1.88 % (3256097)Termination reason: Instruction limit
% 6.35/1.88 % (3256097)Termination phase: Saturation
% 6.35/1.88 % (3256097)Time elapsed: 0.039 s
% 6.35/1.88 % (3256097)Peak memory usage: 89 MB
% 6.35/1.88 % (3256097)Instructions burned: 122 (million)
% 6.35/1.88 % (3256099)dis-21_1_sil=8000:lcm=predicate:random_seed=2013375720: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)
% 6.35/1.88 % (3256098)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1676779131:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.35/1.88 % (3256099)Instruction limit reached!
% 6.35/1.88 % (3256099)------------------------------
% 6.35/1.88 % (3256099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (3256099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (3256099)CaDiCaL version: 2.1.3
% 6.35/1.88 % (3256099)Termination reason: Instruction limit
% 6.35/1.88 % (3256099)Termination phase: Saturation
% 6.35/1.88 % (3256099)Time elapsed: 0.077 s
% 6.35/1.88 % (3256099)Peak memory usage: 89 MB
% 6.35/1.88 % (3256099)Instructions burned: 129 (million)
% 6.35/1.88 % (3256098)Instruction limit reached!
% 6.35/1.88 % (3256098)------------------------------
% 6.35/1.88 % (3256098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (3256098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (3256098)CaDiCaL version: 2.1.3
% 6.35/1.88 % (3256098)Termination reason: Instruction limit
% 6.35/1.88 % (3256098)Termination phase: Saturation
% 6.35/1.88 % (3256098)Time elapsed: 0.093 s
% 6.35/1.88 % (3256098)Peak memory usage: 90 MB
% 6.35/1.88 % (3256098)Instructions burned: 140 (million)
% 6.35/1.88 % (3256105)lrs+10_1_sil=8000:sp=occurrence:random_seed=1359958907:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.35/1.88 % (3256105)Instruction limit reached!
% 6.35/1.88 % (3256105)------------------------------
% 6.35/1.88 % (3256105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (3256105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (3256105)CaDiCaL version: 2.1.3
% 6.35/1.88 % (3256105)Termination reason: Instruction limit
% 6.35/1.88 % (3256105)Termination phase: Saturation
% 6.35/1.88 % (3256105)Time elapsed: 0.089 s
% 6.35/1.88 % (3256105)Peak memory usage: 92 MB
% 6.35/1.88 % (3256105)Instructions burned: 287 (million)
% 6.35/1.88 % (3256096)------------------------------
% 6.35/1.88 % (3256096)------------------------------
% 6.35/1.88 % (3256108)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3921928981:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.35/1.88 % (3256109)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2115481530:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.35/1.88 % (3256108)Instruction limit reached!
% 6.35/1.88 % (3256108)------------------------------
% 6.35/1.88 % (3256108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (3256108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (3256108)CaDiCaL version: 2.1.3
% 6.35/1.88 % (3256108)Termination reason: Instruction limit
% 6.35/1.88 % (3256108)Termination phase: Saturation
% 6.35/1.88 % (3256108)Time elapsed: 0.078 s
% 6.35/1.88 % (3256108)Peak memory usage: 90 MB
% 6.35/1.88 % (3256108)Instructions burned: 157 (million)
% 6.35/1.88 % (3256111)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1819113670:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.35/1.88 % (3256111)Instruction limit reached!
% 6.35/1.88 % (3256111)------------------------------
% 6.35/1.88 % (3256111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (3256111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (3256111)CaDiCaL version: 2.1.3
% 6.35/1.88 % (3256111)Termination reason: Instruction limit
% 6.35/1.88 % (3256111)Termination phase: Saturation
% 6.35/1.88 % (3256111)Time elapsed: 0.064 s
% 6.35/1.88 % (3256111)Peak memory usage: 95 MB
% 6.35/1.88 % (3256111)Instructions burned: 248 (million)
% 6.35/1.88 % (3256112)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3267331250:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.35/1.88 % (3256112)Refutation not found, incomplete strategy
% 6.35/1.88 % (3256112)------------------------------
% 6.35/1.88 % (3256112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (3256112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (3256112)CaDiCaL version: 2.1.3
% 6.35/1.88 % (3256112)Termination reason: Refutation not found, incomplete strategy
% 6.35/1.88 % (3256112)Time elapsed: 0.003 s
% 6.35/1.88 % (3256112)Peak memory usage: 88 MB
% 6.35/1.88 % (3256112)Instructions burned: 3 (million)
% 6.35/1.88 % (3256109)Instruction limit reached!
% 6.35/1.88 % (3256109)------------------------------
% 6.35/1.88 % (3256109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (3256109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (3256109)CaDiCaL version: 2.1.3
% 6.35/1.88 % (3256109)Termination reason: Instruction limit
% 6.35/1.88 % (3256109)Termination phase: Saturation
% 6.35/1.88 % (3256109)Time elapsed: 0.203 s
% 6.35/1.88 % (3256109)Peak memory usage: 91 MB
% 6.35/1.88 % (3256109)Instructions burned: 325 (million)
% 6.35/1.88 % (3256116)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=915998819:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.35/1.88 % (3256118)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3699617974:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.35/1.88 % (3256118)Instruction limit reached!
% 6.35/1.88 % (3256118)------------------------------
% 6.35/1.88 % (3256118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (3256118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (3256118)CaDiCaL version: 2.1.3
% 6.35/1.88 % (3256118)Termination reason: Instruction limit
% 6.35/1.88 % (3256118)Termination phase: Saturation
% 6.35/1.88 % (3256118)Time elapsed: 0.084 s
% 6.35/1.88 % (3256118)Peak memory usage: 92 MB
% 6.35/1.88 % (3256118)Instructions burned: 114 (million)
% 6.35/1.88 % (3256119)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2713963545:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.35/1.88 % (3256112)------------------------------
% 6.35/1.88 % (3256112)------------------------------
% 6.35/1.88 % (3256094)First to succeed.
% 6.35/1.88 % (3256094)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3256088"
% 6.35/1.88 % (3256119)Instruction limit reached!
% 6.35/1.88 % (3256119)------------------------------
% 6.35/1.88 % (3256119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (3256119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (3256119)CaDiCaL version: 2.1.3
% 6.35/1.88 % (3256119)Termination reason: Instruction limit
% 6.35/1.88 % (3256119)Termination phase: Saturation
% 6.35/1.88 % (3256119)Time elapsed: 0.066 s
% 6.35/1.88 % (3256119)Peak memory usage: 89 MB
% 6.35/1.88 % (3256119)Instructions burned: 128 (million)
% 6.35/1.88 % (3256093)Also succeeded, but the first one will report.
% 6.35/1.88 % (3256122)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3712058735:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.35/1.88 % (3256124)lrs+10_1_sil=8000:sp=occurrence:random_seed=1901450410:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.35/1.88 % (3256122)Instruction limit reached!
% 6.35/1.88 % (3256122)------------------------------
% 6.35/1.88 % (3256122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (3256122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (3256122)CaDiCaL version: 2.1.3
% 6.35/1.88 % (3256122)Termination reason: Instruction limit
% 6.35/1.88 % (3256122)Termination phase: Saturation
% 6.35/1.88 % (3256122)Time elapsed: 0.070 s
% 6.35/1.88 % (3256122)Peak memory usage: 89 MB
% 6.35/1.88 % (3256122)Instructions burned: 115 (million)
% 6.35/1.88 % (3256094)Refutation found. Thanks to Tanya!
% 6.35/1.88 % SZS status Theorem for theBenchmark
% 6.35/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 7.71/1.99 % (3256094)------------------------------
% 7.71/1.99 % (3256094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.99 % (3256094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.99 % (3256094)CaDiCaL version: 2.1.3
% 7.71/1.99 % (3256094)Termination reason: Refutation
% 7.71/1.99 % (3256094)Time elapsed: 0.693 s
% 7.71/1.99 % (3256094)Peak memory usage: 129 MB
% 7.71/1.99 % (3256094)Instructions burned: 1143 (million)
% 7.71/1.99 % (3256094)------------------------------
% 7.71/1.99 % (3256094)------------------------------
% 7.71/1.99 % (3256088)Success in time 1.031 s
% 7.71/1.99 % Vampire exiting
%------------------------------------------------------------------------------