%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET674+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:47:45 PM UTC 2026
% Result : Theorem 107.48s 25.61s
% Output : CNFRefutation 107.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f222ERROR: Could not build tree for root c_296676ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,domain_of(X1))
<=> ? [X2] :
( member(ordered_pair(X0,X2),X1)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,range_of(X1))
<=> ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(ordered_pair(X0,X1),X2)
=> ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(X1,image(X2,X0))
<=> ? [X3] :
( member(X3,X0)
& member(ordered_pair(X3,X1),X2)
& ilf_type(X3,set_type) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(X1,inverse2(X2,X0))
<=> ? [X3] :
( member(X3,X0)
& member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f24,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).
fof(f25,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25) ).
fof(f26,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
fof(f29,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29) ).
fof(f32,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain(X0,X1,X2) = domain_of(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32) ).
fof(f33,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33) ).
fof(f34,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range(X0,X1,X2) = range_of(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34) ).
fof(f35,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35) ).
fof(f36,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ! [X3] :
( ilf_type(X3,set_type)
=> image4(X0,X1,X2,X3) = image(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p36) ).
fof(f38,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ! [X3] :
( ilf_type(X3,set_type)
=> inverse4(X0,X1,X2,X3) = inverse2(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p38) ).
fof(f40,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p40) ).
fof(f41,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( inverse4(X0,X1,X2,X1) = domain(X0,X1,X2)
& image4(X0,X1,X2,X0) = range(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_38) ).
fof(f42,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( inverse4(X0,X1,X2,X1) = domain(X0,X1,X2)
& image4(X0,X1,X2,X0) = range(X0,X1,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f43,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( member(X0,domain_of(X1))
<=> ? [X2] :
( member(ordered_pair(X0,X2),X1)
& ilf_type(X2,set_type) ) ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f44,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( member(X0,range_of(X1))
<=> ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f45,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f46,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) ) ) ) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( member(X1,image(X2,X0))
<=> ? [X3] :
( member(X3,X0)
& member(ordered_pair(X3,X1),X2)
& ilf_type(X3,set_type) ) ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f48,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( member(X1,inverse2(X2,X0))
<=> ? [X3] :
( member(X3,X0)
& member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type) ) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f53,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X3] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f55,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f63,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f66,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f67,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(flattening,[],[f66]) ).
fof(f69,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(X0,power_set(X1))
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f70,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(X0,power_set(X1))
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f72,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f73,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
inference(flattening,[],[f72]) ).
fof(f78,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f82,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f83,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f84,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f85,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f86,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| image4(X0,X1,X2,X3) = image(X2,X3) ) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f88,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| inverse4(X0,X1,X2,X3) = inverse2(X2,X3) ) ) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f90,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,relation_type(X0,X1))
& ( domain(X0,X1,X2) != inverse4(X0,X1,X2,X1)
| range(X0,X1,X2) != image4(X0,X1,X2,X0) ) ) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f91,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ~ member(X0,domain_of(X1))
| ? [X2] :
( member(ordered_pair(X0,X2),X1)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type) )
| member(X0,domain_of(X1)) ) ) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f92,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ~ member(X0,domain_of(X1))
| ? [X3] :
( member(ordered_pair(X0,X3),X1)
& ilf_type(X3,set_type) ) )
& ( ! [X2] :
( ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type) )
| member(X0,domain_of(X1)) ) ) ) ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ~ member(X0,domain_of(X1))
| ( member(ordered_pair(X0,sK0(X0,X1)),X1)
& ilf_type(sK0(X0,X1),set_type) ) )
& ( ! [X2] :
( ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type) )
| member(X0,domain_of(X1)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f92]) ).
fof(f94,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ~ member(X0,range_of(X1))
| ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) )
| member(X0,range_of(X1)) ) ) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f95,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ~ member(X0,range_of(X1))
| ? [X3] :
( member(ordered_pair(X3,X0),X1)
& ilf_type(X3,set_type) ) )
& ( ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) )
| member(X0,range_of(X1)) ) ) ) ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ~ member(X0,range_of(X1))
| ( member(ordered_pair(sK1(X0,X1),X0),X1)
& ilf_type(sK1(X0,X1),set_type) ) )
& ( ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) )
| member(X0,range_of(X1)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f95]) ).
fof(f97,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ~ member(X1,image(X2,X0))
| ? [X3] :
( member(X3,X0)
& member(ordered_pair(X3,X1),X2)
& ilf_type(X3,set_type) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X3,set_type) )
| member(X1,image(X2,X0)) ) ) ) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f98,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ~ member(X1,image(X2,X0))
| ? [X4] :
( member(X4,X0)
& member(ordered_pair(X4,X1),X2)
& ilf_type(X4,set_type) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X3,set_type) )
| member(X1,image(X2,X0)) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f99,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ~ member(X1,image(X2,X0))
| ( member(sK2(X0,X1,X2),X0)
& member(ordered_pair(sK2(X0,X1,X2),X1),X2)
& ilf_type(sK2(X0,X1,X2),set_type) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X3,set_type) )
| member(X1,image(X2,X0)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X4,sK2(X0,X1,X2))],[f98]) ).
fof(f100,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ~ member(X1,inverse2(X2,X0))
| ? [X3] :
( member(X3,X0)
& member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X3,set_type) )
| member(X1,inverse2(X2,X0)) ) ) ) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f101,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ~ member(X1,inverse2(X2,X0))
| ? [X4] :
( member(X4,X0)
& member(ordered_pair(X1,X4),X2)
& ilf_type(X4,set_type) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X3,set_type) )
| member(X1,inverse2(X2,X0)) ) ) ) ) ),
inference(rectify,[],[f100]) ).
fof(f102,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ~ member(X1,inverse2(X2,X0))
| ( member(sK3(X0,X1,X2),X0)
& member(ordered_pair(X1,sK3(X0,X1,X2)),X2)
& ilf_type(sK3(X0,X1,X2),set_type) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X3,set_type) )
| member(X1,inverse2(X2,X0)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X4,sK3(X0,X1,X2))],[f101]) ).
fof(f107,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( X0 != X1
| ( subset(X1,X0)
& subset(X0,X1) ) )
& ( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f108,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( X0 != X1
| ( subset(X1,X0)
& subset(X0,X1) ) )
& ( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ) ) ) ),
inference(flattening,[],[f107]) ).
fof(f112,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0))) )
& ( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ) ) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f118,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f119,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ) ) ),
inference(rectify,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ( ilf_type(sK9(X0,X1),set_type)
& member(sK9(X0,X1),X0)
& ~ member(sK9(X0,X1),X1) )
| subset(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f119]) ).
fof(f121,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ member(X0,power_set(X1))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| member(X0,power_set(X1)) ) ) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f122,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ member(X0,power_set(X1))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| member(X0,power_set(X1)) ) ) ) ),
inference(rectify,[],[f121]) ).
fof(f123,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ member(X0,power_set(X1))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ( ilf_type(sK10(X0,X1),set_type)
& member(sK10(X0,X1),X0)
& ~ member(sK10(X0,X1),X1) )
| member(X0,power_set(X1)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f122]) ).
fof(f124,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ( ( ~ ilf_type(X0,member_type(X1))
| member(X0,X1) )
& ( ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ) ) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f132,plain,
( ilf_type(sK16,set_type)
& ilf_type(sK17,set_type)
& ilf_type(sK18,relation_type(sK16,sK17))
& ( domain(sK16,sK17,sK18) != inverse4(sK16,sK17,sK18,sK17)
| range(sK16,sK17,sK18) != image4(sK16,sK17,sK18,sK16) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18]),skolemize(X0,sK16),skolemize(X1,sK17),skolemize(X2,sK18)],[f90]) ).
fof(f133,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,domain_of(X1))
| member(ordered_pair(X0,sK0(X0,X1)),X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type)
| member(X0,domain_of(X1)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f136,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,range_of(X1))
| member(ordered_pair(sK1(X0,X1),X0),X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type)
| member(X0,range_of(X1)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| member(X1,range_of(X2)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| member(X0,domain_of(X2)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X1,image(X2,X0))
| member(ordered_pair(sK2(X0,X1,X2),X1),X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X3,X0)
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X3,set_type)
| member(X1,image(X2,X0)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X1,inverse2(X2,X0))
| member(ordered_pair(X1,sK3(X0,X1,X2)),X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X3,X0)
| ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X3,set_type)
| member(X1,inverse2(X2,X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f154,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f53]) ).
fof(f159,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f108]) ).
fof(f170,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0))) ),
inference(cnf_transformation,[],[f112]) ).
fof(f180,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK9(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f181,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK9(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f183,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f188,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f189,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,member_type(X1))
| member(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| domain_of(X2) = domain(X0,X1,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(domain(X0,X1,X2),subset_type(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f207,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| image4(X0,X1,X2,X3) = image(X2,X3) ),
inference(cnf_transformation,[],[f86]) ).
fof(f209,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| inverse4(X0,X1,X2,X3) = inverse2(X2,X3) ),
inference(cnf_transformation,[],[f88]) ).
fof(f211,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f40]) ).
fof(f214,plain,
ilf_type(sK18,relation_type(sK16,sK17)),
inference(cnf_transformation,[],[f132]) ).
fof(f215,plain,
( domain(sK16,sK17,sK18) != inverse4(sK16,sK17,sK18,sK17)
| range(sK16,sK17,sK18) != image4(sK16,sK17,sK18,sK16) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( member(ordered_pair(X0,sK0(X0,X1)),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,domain_of(X1)) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( member(ordered_pair(sK1(X0,X1),X0),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,range_of(X1)) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,image(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(sK2(X2,X0,X1),X0),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,image(X1,X2)) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,inverse2(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X1,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(X0,sK3(X2,X0,X1)),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,inverse2(X1,X2)) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_82,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(power_set(X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,subset_type(X1)) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK9(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X2,X0)
| ~ member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_102,plain,
! [X0: $i] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| member(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,member_type(X1)) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( domain(X1,X2,X0) = domain_of(X0) )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(domain(X1,X2,X0),subset_type(X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( range(X1,X2,X0) = range_of(X0) )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(range(X1,X2,X0),subset_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( image4(X1,X2,X0,X3) = image(X0,X3) )
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse4(X1,X2,X0,X3) = inverse2(X0,X3) )
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_126,plain,
! [X0: $i] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f211]) ).
tcf(c_127,negated_conjecture,
( ( inverse4(sK16,sK17,sK18,sK17) != domain(sK16,sK17,sK18) )
| ( image4(sK16,sK17,sK18,sK16) != range(sK16,sK17,sK18) ) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_128,negated_conjecture,
ilf_type(sK18,relation_type(sK16,sK17)),
inference(cnf_transformation,[],[f214]) ).
tcf(c_206,plain,
! [X0: $i] : ~ empty(power_set(X0)),
inference(global_subsumption_just,[status(thm)],[c_102,c_126,c_102]) ).
tcf(c_230,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(global_subsumption_just,[status(thm)],[c_82,c_126,c_82]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK9(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption_just,[status(thm)],[c_94,c_126,c_94]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i] :
( subset(X1,X0)
| member(sK9(X1,X0),X1)
| ~ ilf_type(X0,set_type) ),
inference(renaming,[status(thm)],[c_257]) ).
tcf(c_259,plain,
! [X0: $i,X1: $i] :
( subset(X1,X0)
| member(sK9(X1,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_258,c_126,c_258]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK9(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_259]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ member(sK9(X0,X1),X1) ),
inference(global_subsumption_just,[status(thm)],[c_93,c_126,c_93]) ).
tcf(c_283,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| member(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,member_type(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_105,c_126,c_105]) ).
tcf(c_290,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(power_set(X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,subset_type(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_86,c_126,c_86]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_126,c_73]) ).
tcf(c_305,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ilf_type(X1,set_type)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(renaming,[status(thm)],[c_304]) ).
tcf(c_306,plain,
! [X0: $i,X1: $i] :
( member(ordered_pair(sK1(X0,X1),X0),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,range_of(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_126,c_54]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i] :
( member(ordered_pair(X0,sK0(X0,X1)),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,domain_of(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_51,c_126,c_51]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_126,c_56]) ).
tcf(c_330,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_126,c_55]) ).
tcf(c_336,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X0,power_set(X1))
| ~ member(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_101,c_126,c_101]) ).
tcf(c_337,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X2,X0)
| ~ member(X0,power_set(X1)) ),
inference(renaming,[status(thm)],[c_336]) ).
tcf(c_350,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(X0,sK3(X2,X0,X1)),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,inverse2(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_126,c_63]) ).
tcf(c_352,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(sK2(X2,X0,X1),X0),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,image(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_59,c_126,c_59]) ).
tcf(c_358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,inverse2(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),X2)
| ~ member(X1,X3) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_126,c_61]) ).
tcf(c_359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,inverse2(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(renaming,[status(thm)],[c_358]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,image(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),X2)
| ~ member(X0,X3) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_126,c_57]) ).
tcf(c_361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,image(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(X0,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(renaming,[status(thm)],[c_360]) ).
tcf(c_557,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| ~ member(X0,power_set(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_337,c_126]) ).
tcf(c_559,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_283,c_126]) ).
tcf(c_562,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(sK9(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_271,c_126]) ).
tcf(c_567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,inverse2(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X1,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_359,c_126]) ).
tcf(c_569,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(X0,sK3(X2,X0,X1)),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,inverse2(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_350,c_126]) ).
tcf(c_571,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(sK2(X2,X0,X1),X0),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,image(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_352,c_126]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,image(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X0,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_361,c_126]) ).
tcf(c_574,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_330,c_126]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_328,c_126]) ).
tcf(c_578,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( domain(X1,X2,X0) = domain_of(X0) )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_118,c_126]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( image4(X1,X2,X0,X3) = image(X0,X3) )
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_122,c_126]) ).
tcf(c_581,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(power_set(X1)))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_290,c_126]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(domain(X1,X2,X0),subset_type(X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_119,c_126]) ).
tcf(c_583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse4(X1,X2,X0,X3) = inverse2(X0,X3) )
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_124,c_126]) ).
tcf(c_585,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_305,c_126]) ).
tcf(c_586,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( range(X1,X2,X0) = range_of(X0) )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_120,c_126]) ).
tcf(c_587,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_113,c_126]) ).
tcf(c_589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(range(X1,X2,X0),subset_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_121,c_126]) ).
tcf(c_590,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_71,c_126]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_587,c_126]) ).
tcf(c_781,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_590,c_126]) ).
tcf(c_803,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(domain(X1,X2,X0),subset_type(X1))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_582,c_126]) ).
tcf(c_814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(range(X1,X2,X0),subset_type(X2))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_589,c_126]) ).
tcf(c_837,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( domain(X1,X2,X0) = domain_of(X0) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_578,c_126]) ).
tcf(c_848,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( range(X1,X2,X0) = range_of(X0) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_586,c_126]) ).
tcf(c_874,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_557,c_126]) ).
tcf(c_912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( image4(X1,X2,X0,X3) = image(X0,X3) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_579,c_126,c_126]) ).
tcf(c_924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse4(X1,X2,X0,X3) = inverse2(X0,X3) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_583,c_126,c_126]) ).
tcf(c_937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,inverse2(X2,X3))
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X1,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_567,c_126]) ).
tcf(c_956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,image(X2,X3))
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X0,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_572,c_126]) ).
tcf(c_1463,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_230]) ).
tcf(c_1467,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(power_set(X1)))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(prop_impl_just,[status(thm)],[c_581]) ).
tcf(c_1469,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_693,c_781]) ).
tcf(c_1471,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( domain(X1,X2,X0) = domain_of(X0) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_837]) ).
tcf(c_1473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(domain(X1,X2,X0),subset_type(X1))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_803]) ).
tcf(c_1475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( range(X1,X2,X0) = range_of(X0) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_848]) ).
tcf(c_1477,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(range(X1,X2,X0),subset_type(X2))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_814]) ).
tcf(c_1479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( image4(X1,X2,X0,X3) = image(X0,X3) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_912]) ).
tcf(c_1483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse4(X1,X2,X0,X3) = inverse2(X0,X3) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_924]) ).
tcf(c_1487,plain,
! [X0: $i,X1: $i] :
( ~ member(sK9(X0,X1),X1)
| subset(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_562]) ).
tcf(c_1488,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(sK9(X0,X1),X1) ),
inference(renaming,[status(thm)],[c_1487]) ).
tcf(c_1489,plain,
! [X0: $i,X1: $i] :
( member(sK9(X0,X1),X0)
| subset(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_260]) ).
tcf(c_1490,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK9(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_1489]) ).
tcf(c_2342,definition,
iPr_def_10 = relation_type(sK16,sK17),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2343,definition,
iPr_def_11 = image4(sK16,sK17,sK18,sK16),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2344,definition,
iPr_def_12 = range(sK16,sK17,sK18),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2345,definition,
iPr_def_13 = inverse4(sK16,sK17,sK18,sK17),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2346,definition,
iPr_def_14 = domain(sK16,sK17,sK18),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2347,negated_conjecture,
ilf_type(sK18,iPr_def_10),
inference(demodulation,[status(thm)],[c_128,c_2342]) ).
tcf(c_2348,negated_conjecture,
( ( iPr_def_13 != iPr_def_14 )
| ( iPr_def_11 != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_127,c_2346,c_2345,c_2344,c_2343]) ).
tcf(c_3552,plain,
! [X0: $i] :
( relation_like(X0)
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2342,c_1469]) ).
tcf(c_3561,plain,
relation_like(sK18),
inference(superposition,[status(thm)],[c_2347,c_3552]) ).
tcf(c_3757,plain,
! [X0: $i] :
( ( domain(sK16,sK17,X0) = domain_of(X0) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2342,c_1471]) ).
tcf(c_3816,plain,
! [X0: $i] :
( ( range(sK16,sK17,X0) = range_of(X0) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2342,c_1475]) ).
tcf(c_4173,plain,
! [X0: $i,X1: $i] :
( ( image4(sK16,sK17,X0,X1) = image(X0,X1) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2342,c_1479]) ).
tcf(c_4419,plain,
! [X0: $i,X1: $i] :
( ( inverse4(sK16,sK17,X0,X1) = inverse2(X0,X1) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2342,c_1483]) ).
tcf(c_4450,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,inverse2(X1,X2)) ),
inference(superposition,[status(thm)],[c_569,c_574]) ).
tcf(c_4485,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,image(X1,X2)) ),
inference(superposition,[status(thm)],[c_571,c_575]) ).
tcf(c_5255,plain,
domain(sK16,sK17,sK18) = domain_of(sK18),
inference(superposition,[status(thm)],[c_2347,c_3757]) ).
tcf(c_5266,plain,
domain_of(sK18) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_5255,c_2346]) ).
tcf(c_5929,plain,
range(sK16,sK17,sK18) = range_of(sK18),
inference(superposition,[status(thm)],[c_2347,c_3816]) ).
tcf(c_5940,plain,
range_of(sK18) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_5929,c_2344]) ).
tcf(c_24969,plain,
! [X0: $i] : image4(sK16,sK17,sK18,X0) = image(sK18,X0),
inference(superposition,[status(thm)],[c_2347,c_4173]) ).
tcf(c_24995,plain,
image(sK18,sK16) = iPr_def_11,
inference(demodulation,[status(thm)],[c_2343,c_24969]) ).
tcf(c_25978,plain,
! [X0: $i] : inverse4(sK16,sK17,sK18,X0) = inverse2(sK18,X0),
inference(superposition,[status(thm)],[c_2347,c_4419]) ).
tcf(c_26004,plain,
inverse2(sK18,sK17) = iPr_def_13,
inference(demodulation,[status(thm)],[c_2345,c_25978]) ).
tcf(c_27165,plain,
! [X0: $i] :
( member(X0,domain_of(sK18))
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_26004,c_4450]) ).
tcf(c_27166,plain,
! [X0: $i] :
( member(X0,iPr_def_14)
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_27165,c_5266]) ).
tcf(c_27576,plain,
! [X0: $i] :
( member(X0,range_of(sK18))
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_24995,c_4485]) ).
tcf(c_27577,plain,
! [X0: $i] :
( member(X0,iPr_def_12)
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_27576,c_5940]) ).
tcf(c_31019,plain,
! [X0: $i] :
( subset(iPr_def_13,X0)
| member(sK9(iPr_def_13,X0),iPr_def_14)
| ~ ilf_type(sK18,binary_relation_type) ),
inference(superposition,[status(thm)],[c_1490,c_27166]) ).
tcf(c_31264,plain,
! [X0: $i] :
( subset(iPr_def_11,X0)
| member(sK9(iPr_def_11,X0),iPr_def_12)
| ~ ilf_type(sK18,binary_relation_type) ),
inference(superposition,[status(thm)],[c_1490,c_27577]) ).
tcf(c_92009,plain,
( subset(iPr_def_13,iPr_def_14)
| ~ ilf_type(sK18,binary_relation_type) ),
inference(superposition,[status(thm)],[c_31019,c_1488]) ).
tcf(c_93744,plain,
( subset(iPr_def_13,iPr_def_14)
| ~ relation_like(sK18) ),
inference(superposition,[status(thm)],[c_1463,c_92009]) ).
tcf(c_93745,plain,
subset(iPr_def_13,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_93744,c_3561]) ).
tcf(c_93768,plain,
( subset(iPr_def_11,iPr_def_12)
| ~ ilf_type(sK18,binary_relation_type) ),
inference(superposition,[status(thm)],[c_31264,c_1488]) ).
tcf(c_94092,plain,
( subset(iPr_def_11,iPr_def_12)
| ~ relation_like(sK18) ),
inference(superposition,[status(thm)],[c_1463,c_93768]) ).
tcf(c_94093,plain,
subset(iPr_def_11,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_94092,c_3561]) ).
tcf(c_143774,plain,
! [X0: $i] :
( relation_like(X0)
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2342,c_1469]) ).
tcf(c_143781,plain,
relation_like(sK18),
inference(superposition,[status(thm)],[c_2347,c_143774]) ).
tcf(c_143808,plain,
! [X0: $i,X1: $i] :
( empty(power_set(X1))
| member(X0,power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(superposition,[status(thm)],[c_1467,c_559]) ).
tcf(c_143809,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143808,c_206]) ).
tcf(c_143912,plain,
( ilf_type(iPr_def_14,subset_type(sK16))
| ~ ilf_type(sK18,relation_type(sK16,sK17)) ),
inference(superposition,[status(thm)],[c_2346,c_1473]) ).
tcf(c_143915,plain,
( ilf_type(iPr_def_14,subset_type(sK16))
| ~ ilf_type(sK18,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_143912,c_2342]) ).
tcf(c_143916,plain,
ilf_type(iPr_def_14,subset_type(sK16)),
inference(forward_subsumption_resolution,[status(thm)],[c_143915,c_2347]) ).
tcf(c_143923,plain,
member(iPr_def_14,power_set(sK16)),
inference(superposition,[status(thm)],[c_143916,c_143809]) ).
tcf(c_143951,plain,
! [X0: $i] :
( ( domain(sK16,sK17,X0) = domain_of(X0) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2342,c_1471]) ).
tcf(c_143958,plain,
( ilf_type(iPr_def_12,subset_type(sK17))
| ~ ilf_type(sK18,relation_type(sK16,sK17)) ),
inference(superposition,[status(thm)],[c_2344,c_1477]) ).
tcf(c_143961,plain,
( ilf_type(iPr_def_12,subset_type(sK17))
| ~ ilf_type(sK18,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_143958,c_2342]) ).
tcf(c_143962,plain,
ilf_type(iPr_def_12,subset_type(sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_143961,c_2347]) ).
tcf(c_144000,plain,
! [X0: $i] :
( ( range(sK16,sK17,X0) = range_of(X0) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2342,c_1475]) ).
tcf(c_144003,plain,
member(iPr_def_12,power_set(sK17)),
inference(superposition,[status(thm)],[c_143962,c_143809]) ).
tcf(c_144131,plain,
! [X0: $i,X1: $i] :
( member(sK1(X0,X1),domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,range_of(X1)) ),
inference(superposition,[status(thm)],[c_306,c_574]) ).
tcf(c_144208,plain,
! [X0: $i,X1: $i] :
( member(sK0(X0,X1),range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,domain_of(X1)) ),
inference(superposition,[status(thm)],[c_309,c_575]) ).
tcf(c_144283,plain,
! [X0: $i,X1: $i] :
( ( image4(sK16,sK17,X0,X1) = image(X0,X1) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2342,c_1479]) ).
tcf(c_144482,plain,
! [X0: $i,X1: $i] :
( ( inverse4(sK16,sK17,X0,X1) = inverse2(X0,X1) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2342,c_1483]) ).
tcf(c_144496,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,inverse2(X1,X2)) ),
inference(superposition,[status(thm)],[c_569,c_574]) ).
tcf(c_144531,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,image(X1,X2)) ),
inference(superposition,[status(thm)],[c_571,c_575]) ).
tcf(c_144868,plain,
! [X0: $i] :
( member(X0,sK16)
| ~ member(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_143923,c_874]) ).
tcf(c_144869,plain,
! [X0: $i] :
( member(X0,sK17)
| ~ member(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_144003,c_874]) ).
tcf(c_145136,plain,
domain(sK16,sK17,sK18) = domain_of(sK18),
inference(superposition,[status(thm)],[c_2347,c_143951]) ).
tcf(c_145147,plain,
domain_of(sK18) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_145136,c_2346]) ).
tcf(c_145658,plain,
range(sK16,sK17,sK18) = range_of(sK18),
inference(superposition,[status(thm)],[c_2347,c_144000]) ).
tcf(c_145669,plain,
range_of(sK18) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_145658,c_2344]) ).
tcf(c_148098,plain,
! [X0: $i] : image4(sK16,sK17,sK18,X0) = image(sK18,X0),
inference(superposition,[status(thm)],[c_2347,c_144283]) ).
tcf(c_148111,plain,
image(sK18,sK16) = iPr_def_11,
inference(demodulation,[status(thm)],[c_2343,c_148098]) ).
tcf(c_148752,plain,
! [X0: $i] : inverse4(sK16,sK17,sK18,X0) = inverse2(sK18,X0),
inference(superposition,[status(thm)],[c_2347,c_144482]) ).
tcf(c_148765,plain,
inverse2(sK18,sK17) = iPr_def_13,
inference(demodulation,[status(thm)],[c_2345,c_148752]) ).
tcf(c_149327,plain,
! [X0: $i] :
( member(X0,domain_of(sK18))
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_148765,c_144496]) ).
tcf(c_149328,plain,
! [X0: $i] :
( member(X0,iPr_def_14)
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_149327,c_145147]) ).
tcf(c_149546,plain,
! [X0: $i] :
( member(X0,range_of(sK18))
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_148111,c_144531]) ).
tcf(c_149547,plain,
! [X0: $i] :
( member(X0,iPr_def_12)
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_149546,c_145669]) ).
tcf(c_150570,plain,
! [X0: $i] :
( subset(iPr_def_13,X0)
| member(sK9(iPr_def_13,X0),iPr_def_14)
| ~ ilf_type(sK18,binary_relation_type) ),
inference(superposition,[status(thm)],[c_1490,c_149328]) ).
tcf(c_150775,plain,
! [X0: $i] :
( subset(iPr_def_11,X0)
| member(sK9(iPr_def_11,X0),iPr_def_12)
| ~ ilf_type(sK18,binary_relation_type) ),
inference(superposition,[status(thm)],[c_1490,c_149547]) ).
tcf(c_151019,plain,
! [X0: $i] :
( member(sK1(X0,sK18),iPr_def_14)
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,range_of(sK18)) ),
inference(superposition,[status(thm)],[c_145147,c_144131]) ).
tcf(c_151027,plain,
! [X0: $i] :
( member(sK1(X0,sK18),iPr_def_14)
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_151019,c_145669]) ).
tcf(c_151589,plain,
! [X0: $i] :
( member(sK0(X0,sK18),iPr_def_12)
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,domain_of(sK18)) ),
inference(superposition,[status(thm)],[c_145669,c_144208]) ).
tcf(c_151601,plain,
! [X0: $i] :
( member(sK0(X0,sK18),iPr_def_12)
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_151589,c_145147]) ).
tcf(c_153890,plain,
! [X0: $i] :
( member(sK1(X0,sK18),sK16)
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_151027,c_144868]) ).
tcf(c_153911,plain,
! [X0: $i] :
( member(sK0(X0,sK18),sK17)
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_151601,c_144869]) ).
tcf(c_182221,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,inverse2(X1,X2))
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,domain_of(X1))
| ~ member(sK0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_309,c_937]) ).
tcf(c_182552,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,image(X1,X2))
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,range_of(X1))
| ~ member(sK1(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_306,c_956]) ).
tcf(c_183700,plain,
( subset(iPr_def_13,iPr_def_14)
| ~ ilf_type(sK18,binary_relation_type) ),
inference(superposition,[status(thm)],[c_150570,c_1488]) ).
tcf(c_184142,plain,
subset(iPr_def_13,iPr_def_14),
inference(global_subsumption_just,[status(thm)],[c_183700,c_93745]) ).
tcf(c_184144,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ subset(iPr_def_14,iPr_def_13) ),
inference(superposition,[status(thm)],[c_184142,c_585]) ).
tcf(c_184855,plain,
( subset(iPr_def_11,iPr_def_12)
| ~ ilf_type(sK18,binary_relation_type) ),
inference(superposition,[status(thm)],[c_150775,c_1488]) ).
tcf(c_184989,plain,
subset(iPr_def_11,iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_184855,c_94093]) ).
tcf(c_184991,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ subset(iPr_def_12,iPr_def_11) ),
inference(superposition,[status(thm)],[c_184989,c_585]) ).
tcf(c_270389,plain,
! [X0: $i] :
( member(X0,inverse2(sK18,sK17))
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_14)
| ~ member(X0,domain_of(sK18)) ),
inference(superposition,[status(thm)],[c_153911,c_182221]) ).
tcf(c_270401,plain,
! [X0: $i] :
( member(X0,iPr_def_13)
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_270389,c_145147,c_148765]) ).
tcf(c_271894,plain,
! [X0: $i] :
( subset(iPr_def_14,X0)
| member(sK9(iPr_def_14,X0),iPr_def_13)
| ~ ilf_type(sK18,binary_relation_type) ),
inference(superposition,[status(thm)],[c_1490,c_270401]) ).
tcf(c_279254,plain,
! [X0: $i] :
( member(X0,image(sK18,sK16))
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_12)
| ~ member(X0,range_of(sK18)) ),
inference(superposition,[status(thm)],[c_153890,c_182552]) ).
tcf(c_279267,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| ~ ilf_type(sK18,binary_relation_type)
| ~ member(X0,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_279254,c_145669,c_148111]) ).
tcf(c_279551,plain,
! [X0: $i] :
( subset(iPr_def_12,X0)
| member(sK9(iPr_def_12,X0),iPr_def_11)
| ~ ilf_type(sK18,binary_relation_type) ),
inference(superposition,[status(thm)],[c_1490,c_279267]) ).
tcf(c_288402,plain,
( subset(iPr_def_14,iPr_def_13)
| ~ ilf_type(sK18,binary_relation_type) ),
inference(superposition,[status(thm)],[c_271894,c_1488]) ).
tcf(c_288935,plain,
( subset(iPr_def_14,iPr_def_13)
| ~ relation_like(sK18) ),
inference(superposition,[status(thm)],[c_1463,c_288402]) ).
tcf(c_288936,plain,
subset(iPr_def_14,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_288935,c_143781]) ).
tcf(c_288937,plain,
iPr_def_13 = iPr_def_14,
inference(backward_subsumption_resolution,[status(thm)],[c_184144,c_288936]) ).
tcf(c_288938,plain,
iPr_def_11 != iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_2348,c_288937]) ).
tcf(c_289237,plain,
~ subset(iPr_def_12,iPr_def_11),
inference(backward_subsumption_resolution,[status(thm)],[c_184991,c_288938]) ).
tcf(c_296671,plain,
( subset(iPr_def_12,iPr_def_11)
| ~ ilf_type(sK18,binary_relation_type) ),
inference(superposition,[status(thm)],[c_279551,c_1488]) ).
tcf(c_296674,plain,
~ ilf_type(sK18,binary_relation_type),
inference(forward_subsumption_resolution,[status(thm)],[c_296671,c_289237]) ).
tcf(c_296675,plain,
~ relation_like(sK18),
inference(superposition,[status(thm)],[c_1463,c_296674]) ).
tcf(c_296676,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_296675,c_143781]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET674+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Thu Sep 24 11:39:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 107.48/25.61 % SZS status Started for theBenchmark.p
% 107.48/25.61 % SZS status Theorem for theBenchmark.p
% 107.48/25.61
% 107.48/25.61 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 107.48/25.61
% 107.48/25.61 % ------ iProver source info
% 107.48/25.61
% 107.48/25.61 % git: date: 2026-07-19 20:42:38 +0200
% 107.48/25.61 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 107.48/25.61 % git: non_committed_changes: false
% 107.48/25.61
% 107.48/25.61 % ------ Parsing...
% 107.48/25.61 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 107.48/25.61
% 107.48/25.61 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 107.48/25.61
% 107.48/25.61 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 107.48/25.61
% 107.48/25.61 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 107.48/25.61 % ------ Proving...
% 107.48/25.61 % ------ Problem Properties
% 107.48/25.61
% 107.48/25.61 %
% 107.48/25.61 % clauses 60
% 107.48/25.61 % conjectures 2
% 107.48/25.61 % EPR 11
% 107.48/25.61 % Horn 52
% 107.48/25.61 % unary 12
% 107.48/25.61 % binary 27
% 107.48/25.61 % lits 131
% 107.48/25.61 % lits eq 18
% 107.48/25.61 % fd_pure 0
% 107.48/25.61 % fd_pseudo 0
% 107.48/25.61 % fd_cond 0
% 107.48/25.61 % fd_pseudo_cond 5
% 107.48/25.61 % AC symbols 0
% 107.48/25.61
% 107.48/25.61 % ------ Schedule dynamic 5 is on
% 107.48/25.61
% 107.48/25.61 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 107.48/25.61
% 107.48/25.61
% 107.48/25.61 % ------
% 107.48/25.61 % Current options:
% 107.48/25.61 % ------
% 107.48/25.61
% 107.48/25.61
% 107.48/25.61 %
% 107.48/25.61
% 107.48/25.61 % ------ Proving...
% 107.48/25.61 % Proof_search_loop: time out after: 5802 full_loop iterations
% 107.48/25.61
% 107.48/25.61 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 107.48/25.61
% 107.48/25.61
% 107.48/25.61 % ------
% 107.48/25.61 % Current options:
% 107.48/25.61 % ------
% 107.48/25.61
% 107.48/25.61
% 107.48/25.61 %
% 107.48/25.61
% 107.48/25.61 % ------ Proving...
% 107.48/25.61 %
% 107.48/25.61
% 107.48/25.61 % SZS status Theorem for theBenchmark.p
% 107.48/25.61
% 107.48/25.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 107.48/25.62
% 107.48/25.62
%------------------------------------------------------------------------------