%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET750+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p 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 : Fri Sep 25 02:48:11 PM UTC 2026
% Result : Theorem 130.93s 38.58s
% Output : CNFRefutation 130.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 10
% Syntax : Number of formulae : 389 ( 43 unt; 2 def)
% Number of atoms : 1898 ( 174 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 2477 (1074 ~;1159 |; 199 &)
% ( 29 <=>; 14 =>; 0 <=; 2 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-5 aty)
% Number of functors : 22 ( 22 usr; 5 con; 0-5 aty)
% Number of variables : 1135 ( 0 sgn1066 !; 69 ?; 585 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3,X5,X6] :
( ( member(X6,X2)
& member(X5,X2)
& member(X3,X1) )
=> ( ( apply(X0,X3,X6)
& apply(X0,X3,X5) )
=> X5 = X6 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',maps) ).
fof(f17,axiom,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X1)
& member(X3,X1) )
=> ( ( apply(X0,X4,X5)
& apply(X0,X3,X5) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',injective) ).
fof(f18,axiom,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',surjective) ).
fof(f19,axiom,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
<=> ( surjective(X0,X1,X2)
& injective(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',one_to_one) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4] :
( ( member(X4,X2)
& member(X3,X1) )
=> ( apply(X0,X3,X4)
<=> apply(inverse_function(X0,X1,X2),X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',inverse_function) ).
fof(f26,axiom,
! [X0,X1,X2,X3,X4] :
( increasing(X0,X1,X2,X3,X4)
<=> ! [X5,X6,X7,X8] :
( ( apply(X0,X7,X8)
& apply(X0,X5,X6)
& apply(X2,X5,X7)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1) )
=> apply(X4,X6,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',increasing_function) ).
fof(f28,axiom,
! [X0,X1,X2,X3,X4] :
( isomorphism(X0,X1,X2,X3,X4)
<=> ( ! [X5,X6,X7,X8] :
( ( apply(X0,X7,X8)
& apply(X0,X5,X6)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1) )
=> ( apply(X2,X5,X7)
<=> apply(X4,X6,X8) ) )
& one_to_one(X0,X1,X3)
& maps(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',isomorphism) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4] :
( ( one_to_one(X0,X1,X2)
& maps(X0,X1,X2) )
=> ( isomorphism(X0,X1,X3,X2,X4)
<=> ( increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
& increasing(X0,X1,X3,X2,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII41) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( one_to_one(X0,X1,X2)
& maps(X0,X1,X2) )
=> ( isomorphism(X0,X1,X3,X2,X4)
<=> ( increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
& increasing(X0,X1,X3,X2,X4) ) ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X5,X6,X7] :
( ( member(X7,X2)
& member(X6,X2)
& member(X5,X1) )
=> ( ( apply(X0,X5,X7)
& apply(X0,X5,X6) )
=> X6 = X7 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f32,plain,
? [X0,X1,X2,X3,X4] :
( one_to_one(X0,X1,X2)
& maps(X0,X1,X2)
& ( isomorphism(X0,X1,X3,X2,X4)
<~> ( increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
& increasing(X0,X1,X3,X2,X4) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f33,plain,
? [X0,X1,X2,X3,X4] :
( one_to_one(X0,X1,X2)
& maps(X0,X1,X2)
& ( isomorphism(X0,X1,X3,X2,X4)
<~> ( increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
& increasing(X0,X1,X3,X2,X4) ) ) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4] :
( isomorphism(X0,X1,X2,X3,X4)
<=> ( ! [X5,X6,X7,X8] :
( ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1)
| ( apply(X2,X5,X7)
<=> apply(X4,X6,X8) ) )
& one_to_one(X0,X1,X3)
& maps(X0,X1,X3) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4] :
( isomorphism(X0,X1,X2,X3,X4)
<=> ( ! [X5,X6,X7,X8] :
( ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1)
| ( apply(X2,X5,X7)
<=> apply(X4,X6,X8) ) )
& one_to_one(X0,X1,X3)
& maps(X0,X1,X3) ) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 )
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f37,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 )
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2,X3,X4] :
( ~ member(X4,X2)
| ~ member(X3,X1)
| ( apply(X0,X3,X4)
<=> apply(inverse_function(X0,X1,X2),X4,X3) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4] :
( ~ member(X4,X2)
| ~ member(X3,X1)
| ( apply(X0,X3,X4)
<=> apply(inverse_function(X0,X1,X2),X4,X3) ) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1,X2,X3,X4] :
( increasing(X0,X1,X2,X3,X4)
<=> ! [X5,X6,X7,X8] :
( ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ apply(X2,X5,X7)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1)
| apply(X4,X6,X8) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4] :
( increasing(X0,X1,X2,X3,X4)
<=> ! [X5,X6,X7,X8] :
( ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ apply(X2,X5,X7)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1)
| apply(X4,X6,X8) ) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X1)
| ~ apply(X0,X4,X5)
| ~ apply(X0,X3,X5)
| X3 = X4 ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f43,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X1)
| ~ apply(X0,X4,X5)
| ~ apply(X0,X3,X5)
| X3 = X4 ) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( ~ member(X3,X2)
| ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f49,plain,
? [X0,X1,X2,X3,X4] :
( one_to_one(X0,X1,X2)
& maps(X0,X1,X2)
& ( isomorphism(X0,X1,X3,X2,X4)
| ( increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
& increasing(X0,X1,X3,X2,X4) ) )
& ( ~ isomorphism(X0,X1,X3,X2,X4)
| ~ increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
| ~ increasing(X0,X1,X3,X2,X4) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f50,plain,
? [X0,X1,X2,X3,X4] :
( one_to_one(X0,X1,X2)
& maps(X0,X1,X2)
& ( isomorphism(X0,X1,X3,X2,X4)
| ( increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
& increasing(X0,X1,X3,X2,X4) ) )
& ( ~ isomorphism(X0,X1,X3,X2,X4)
| ~ increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
| ~ increasing(X0,X1,X3,X2,X4) ) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
( one_to_one(sK2,sK3,sK4)
& maps(sK2,sK3,sK4)
& ( isomorphism(sK2,sK3,sK5,sK4,sK6)
| ( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
& increasing(sK2,sK3,sK5,sK4,sK6) ) )
& ( ~ isomorphism(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| ~ increasing(sK2,sK3,sK5,sK4,sK6) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6)],[f50]) ).
fof(f56,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ isomorphism(X0,X1,X2,X3,X4)
| sP0(X3,X1,X0,X4,X2) )
& ( ~ sP0(X3,X1,X0,X4,X2)
| isomorphism(X0,X1,X2,X3,X4) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( ~ maps(X0,X1,X2)
| ( sP1(X0,X1,X2)
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) )
& ( ~ sP1(X0,X1,X2)
| ? [X3] :
( member(X3,X1)
& ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X2) ) )
| maps(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( ~ maps(X0,X1,X2)
| ( sP1(X0,X1,X2)
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) )
& ( ~ sP1(X0,X1,X2)
| ? [X3] :
( member(X3,X1)
& ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X2) ) )
| maps(X0,X1,X2) ) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( ~ maps(X0,X1,X2)
| ( sP1(X0,X1,X2)
& ! [X5] :
( ~ member(X5,X1)
| ? [X6] :
( apply(X0,X5,X6)
& member(X6,X2) ) ) ) )
& ( ~ sP1(X0,X1,X2)
| ? [X3] :
( member(X3,X1)
& ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X2) ) )
| maps(X0,X1,X2) ) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( ~ maps(X0,X1,X2)
| ( sP1(X0,X1,X2)
& ! [X5] :
( ~ member(X5,X1)
| ( apply(X0,X5,sK15(X0,X2,X5))
& member(sK15(X0,X2,X5),X2) ) ) ) )
& ( ~ sP1(X0,X1,X2)
| ( member(sK14(X0,X1,X2),X1)
& ! [X4] :
( ~ apply(X0,sK14(X0,X1,X2),X4)
| ~ member(X4,X2) ) )
| maps(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X3,sK14(X0,X1,X2)),skolemize(X6,sK15(X0,X2,X5))],[f62]) ).
fof(f64,plain,
! [X0,X1,X2,X3,X4] :
( ~ member(X4,X2)
| ~ member(X3,X1)
| ( ( ~ apply(X0,X3,X4)
| apply(inverse_function(X0,X1,X2),X4,X3) )
& ( ~ apply(inverse_function(X0,X1,X2),X4,X3)
| apply(X0,X3,X4) ) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( ~ one_to_one(X0,X1,X2)
| ( surjective(X0,X1,X2)
& injective(X0,X1,X2) ) )
& ( ~ surjective(X0,X1,X2)
| ~ injective(X0,X1,X2)
| one_to_one(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( ~ one_to_one(X0,X1,X2)
| ( surjective(X0,X1,X2)
& injective(X0,X1,X2) ) )
& ( ~ surjective(X0,X1,X2)
| ~ injective(X0,X1,X2)
| one_to_one(X0,X1,X2) ) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ increasing(X0,X1,X2,X3,X4)
| ! [X5,X6,X7,X8] :
( ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ apply(X2,X5,X7)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1)
| apply(X4,X6,X8) ) )
& ( ? [X5,X6,X7,X8] :
( apply(X0,X7,X8)
& apply(X0,X5,X6)
& apply(X2,X5,X7)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1)
& ~ apply(X4,X6,X8) )
| increasing(X0,X1,X2,X3,X4) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f68,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ increasing(X0,X1,X2,X3,X4)
| ! [X9,X10,X11,X12] :
( ~ apply(X0,X11,X12)
| ~ apply(X0,X9,X10)
| ~ apply(X2,X9,X11)
| ~ member(X12,X3)
| ~ member(X11,X1)
| ~ member(X10,X3)
| ~ member(X9,X1)
| apply(X4,X10,X12) ) )
& ( ? [X5,X6,X7,X8] :
( apply(X0,X7,X8)
& apply(X0,X5,X6)
& apply(X2,X5,X7)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1)
& ~ apply(X4,X6,X8) )
| increasing(X0,X1,X2,X3,X4) ) ),
inference(rectify,[],[f67]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ increasing(X0,X1,X2,X3,X4)
| ! [X9,X10,X11,X12] :
( ~ apply(X0,X11,X12)
| ~ apply(X0,X9,X10)
| ~ apply(X2,X9,X11)
| ~ member(X12,X3)
| ~ member(X11,X1)
| ~ member(X10,X3)
| ~ member(X9,X1)
| apply(X4,X10,X12) ) )
& ( ( apply(X0,sK18(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4))
& apply(X0,sK16(X0,X1,X2,X3,X4),sK17(X0,X1,X2,X3,X4))
& apply(X2,sK16(X0,X1,X2,X3,X4),sK18(X0,X1,X2,X3,X4))
& member(sK19(X0,X1,X2,X3,X4),X3)
& member(sK18(X0,X1,X2,X3,X4),X1)
& member(sK17(X0,X1,X2,X3,X4),X3)
& member(sK16(X0,X1,X2,X3,X4),X1)
& ~ apply(X4,sK17(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4)) )
| increasing(X0,X1,X2,X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19]),skolemize(X5,sK16(X0,X1,X2,X3,X4)),skolemize(X6,sK17(X0,X1,X2,X3,X4)),skolemize(X7,sK18(X0,X1,X2,X3,X4)),skolemize(X8,sK19(X0,X1,X2,X3,X4))],[f68]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( ~ injective(X0,X1,X2)
| ! [X3,X4,X5] :
( ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X1)
| ~ apply(X0,X4,X5)
| ~ apply(X0,X3,X5)
| X3 = X4 ) )
& ( ? [X3,X4,X5] :
( member(X5,X2)
& member(X4,X1)
& member(X3,X1)
& apply(X0,X4,X5)
& apply(X0,X3,X5)
& X3 != X4 )
| injective(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( ~ injective(X0,X1,X2)
| ! [X6,X7,X8] :
( ~ member(X8,X2)
| ~ member(X7,X1)
| ~ member(X6,X1)
| ~ apply(X0,X7,X8)
| ~ apply(X0,X6,X8)
| X6 = X7 ) )
& ( ? [X3,X4,X5] :
( member(X5,X2)
& member(X4,X1)
& member(X3,X1)
& apply(X0,X4,X5)
& apply(X0,X3,X5)
& X3 != X4 )
| injective(X0,X1,X2) ) ),
inference(rectify,[],[f70]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( ~ injective(X0,X1,X2)
| ! [X6,X7,X8] :
( ~ member(X8,X2)
| ~ member(X7,X1)
| ~ member(X6,X1)
| ~ apply(X0,X7,X8)
| ~ apply(X0,X6,X8)
| X6 = X7 ) )
& ( ( member(sK22(X0,X1,X2),X2)
& member(sK21(X0,X1,X2),X1)
& member(sK20(X0,X1,X2),X1)
& apply(X0,sK21(X0,X1,X2),sK22(X0,X1,X2))
& apply(X0,sK20(X0,X1,X2),sK22(X0,X1,X2))
& sK20(X0,X1,X2) != sK21(X0,X1,X2) )
| injective(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22]),skolemize(X3,sK20(X0,X1,X2)),skolemize(X4,sK21(X0,X1,X2)),skolemize(X5,sK22(X0,X1,X2))],[f71]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( ~ surjective(X0,X1,X2)
| ! [X3] :
( ~ member(X3,X2)
| ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) ) )
& ( ? [X3] :
( member(X3,X2)
& ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) ) )
| surjective(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( ~ surjective(X0,X1,X2)
| ! [X5] :
( ~ member(X5,X2)
| ? [X6] :
( apply(X0,X6,X5)
& member(X6,X1) ) ) )
& ( ? [X3] :
( member(X3,X2)
& ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) ) )
| surjective(X0,X1,X2) ) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( ~ surjective(X0,X1,X2)
| ! [X5] :
( ~ member(X5,X2)
| ( apply(X0,sK24(X0,X1,X5),X5)
& member(sK24(X0,X1,X5),X1) ) ) )
& ( ( member(sK23(X0,X1,X2),X2)
& ! [X4] :
( ~ apply(X0,X4,sK23(X0,X1,X2))
| ~ member(X4,X1) ) )
| surjective(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X3,sK23(X0,X1,X2)),skolemize(X6,sK24(X0,X1,X5))],[f74]) ).
fof(f76,plain,
one_to_one(sK2,sK3,sK4),
inference(cnf_transformation,[],[f51]) ).
fof(f77,plain,
maps(sK2,sK3,sK4),
inference(cnf_transformation,[],[f51]) ).
fof(f78,plain,
( isomorphism(sK2,sK3,sK5,sK4,sK6)
| increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) ),
inference(cnf_transformation,[],[f51]) ).
fof(f79,plain,
( isomorphism(sK2,sK3,sK5,sK4,sK6)
| increasing(sK2,sK3,sK5,sK4,sK6) ),
inference(cnf_transformation,[],[f51]) ).
fof(f80,plain,
( ~ isomorphism(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| ~ increasing(sK2,sK3,sK5,sK4,sK6) ),
inference(cnf_transformation,[],[f51]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X4] :
( ~ isomorphism(X0,X1,X2,X3,X4)
| sP0(X3,X1,X0,X4,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP0(X3,X1,X0,X4,X2)
| isomorphism(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f56]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ maps(X0,X1,X2)
| sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f103,plain,
! [X2,X0,X1,X5] :
( ~ maps(X0,X1,X2)
| ~ member(X5,X1)
| apply(X0,X5,sK15(X0,X2,X5)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f104,plain,
! [X2,X0,X1,X5] :
( ~ maps(X0,X1,X2)
| ~ member(X5,X1)
| member(sK15(X0,X2,X5),X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X4,X2)
| ~ member(X3,X1)
| ~ apply(X0,X3,X4)
| apply(inverse_function(X0,X1,X2),X4,X3) ),
inference(cnf_transformation,[],[f64]) ).
fof(f108,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X4,X2)
| ~ member(X3,X1)
| ~ apply(inverse_function(X0,X1,X2),X4,X3)
| apply(X0,X3,X4) ),
inference(cnf_transformation,[],[f64]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ one_to_one(X0,X1,X2)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ one_to_one(X0,X1,X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f112,plain,
! [X2,X3,X10,X0,X11,X1,X9,X4,X12] :
( ~ increasing(X0,X1,X2,X3,X4)
| ~ apply(X0,X11,X12)
| ~ apply(X0,X9,X10)
| ~ apply(X2,X9,X11)
| ~ member(X12,X3)
| ~ member(X11,X1)
| ~ member(X10,X3)
| ~ member(X9,X1)
| apply(X4,X10,X12) ),
inference(cnf_transformation,[],[f69]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X4] :
( apply(X0,sK18(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4))
| increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f69]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4] :
( apply(X0,sK16(X0,X1,X2,X3,X4),sK17(X0,X1,X2,X3,X4))
| increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f69]) ).
fof(f115,plain,
! [X2,X3,X0,X1,X4] :
( apply(X2,sK16(X0,X1,X2,X3,X4),sK18(X0,X1,X2,X3,X4))
| increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f69]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4] :
( member(sK19(X0,X1,X2,X3,X4),X3)
| increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f69]) ).
fof(f117,plain,
! [X2,X3,X0,X1,X4] :
( member(sK18(X0,X1,X2,X3,X4),X1)
| increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f69]) ).
fof(f118,plain,
! [X2,X3,X0,X1,X4] :
( member(sK17(X0,X1,X2,X3,X4),X3)
| increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f69]) ).
fof(f119,plain,
! [X2,X3,X0,X1,X4] :
( member(sK16(X0,X1,X2,X3,X4),X1)
| increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f69]) ).
fof(f120,plain,
! [X2,X3,X0,X1,X4] :
( ~ apply(X4,sK17(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4))
| increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f69]) ).
fof(f121,plain,
! [X2,X0,X1,X8,X6,X7] :
( ~ injective(X0,X1,X2)
| ~ member(X8,X2)
| ~ member(X7,X1)
| ~ member(X6,X1)
| ~ apply(X0,X7,X8)
| ~ apply(X0,X6,X8)
| X6 = X7 ),
inference(cnf_transformation,[],[f72]) ).
fof(f128,plain,
! [X2,X0,X1,X5] :
( ~ surjective(X0,X1,X2)
| ~ member(X5,X2)
| apply(X0,sK24(X0,X1,X5),X5) ),
inference(cnf_transformation,[],[f75]) ).
fof(f129,plain,
! [X2,X0,X1,X5] :
( ~ surjective(X0,X1,X2)
| ~ member(X5,X2)
| member(sK24(X0,X1,X5),X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f130,plain,
! [X2,X0,X1] :
( member(sK23(X0,X1,X2),X2)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f131,plain,
! [X2,X0,X1,X4] :
( ~ apply(X0,X4,sK23(X0,X1,X2))
| ~ member(X4,X1)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_49,negated_conjecture,
( ~ isomorphism(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_50,negated_conjecture,
( isomorphism(sK2,sK3,sK5,sK4,sK6)
| increasing(sK2,sK3,sK5,sK4,sK6) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_51,negated_conjecture,
( isomorphism(sK2,sK3,sK5,sK4,sK6)
| increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_52,negated_conjecture,
maps(sK2,sK3,sK4),
inference(cnf_transformation,[],[f77]) ).
tcf(c_53,negated_conjecture,
one_to_one(sK2,sK3,sK4),
inference(cnf_transformation,[],[f76]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( isomorphism(X2,X1,X4,X0,X3)
| ~ sP0(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X3,X1,X0,X4,X2)
| ~ isomorphism(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK15(X0,X2,X3),X2)
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,X3,sK15(X0,X2,X3))
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0,X1,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X0,X4,X3)
| ~ member(X4,X1)
| ~ member(X3,X2)
| ~ apply(inverse_function(X0,X1,X2),X3,X4) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(inverse_function(X0,X3,X4),X2,X1)
| ~ member(X2,X4)
| ~ member(X1,X3)
| ~ apply(X0,X1,X2) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( injective(X0,X1,X2)
| ~ one_to_one(X0,X1,X2) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( surjective(X0,X1,X2)
| ~ one_to_one(X0,X1,X2) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( increasing(X1,X2,X3,X4,X0)
| ~ apply(X0,sK17(X1,X2,X3,X4,X0),sK19(X1,X2,X3,X4,X0)) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( increasing(X0,X1,X2,X3,X4)
| member(sK16(X0,X1,X2,X3,X4),X1) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( increasing(X0,X1,X2,X3,X4)
| member(sK17(X0,X1,X2,X3,X4),X3) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( increasing(X0,X1,X2,X3,X4)
| member(sK18(X0,X1,X2,X3,X4),X1) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( increasing(X0,X1,X2,X3,X4)
| member(sK19(X0,X1,X2,X3,X4),X3) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( increasing(X1,X2,X0,X3,X4)
| apply(X0,sK16(X1,X2,X0,X3,X4),sK18(X1,X2,X0,X3,X4)) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( increasing(X0,X1,X2,X3,X4)
| apply(X0,sK16(X0,X1,X2,X3,X4),sK17(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( increasing(X0,X1,X2,X3,X4)
| apply(X0,sK18(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( apply(X4,X6,X8)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1)
| ~ apply(X2,X5,X7)
| ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X3 )
| ~ member(X3,X4)
| ~ member(X2,X5)
| ~ member(X1,X4)
| ~ injective(X0,X4,X5)
| ~ apply(X0,X3,X2)
| ~ apply(X0,X1,X2) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( surjective(X0,X2,X3)
| ~ member(X1,X2)
| ~ apply(X0,X1,sK23(X0,X2,X3)) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( surjective(X0,X1,X2)
| member(sK23(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK24(X0,X1,X3),X1)
| ~ member(X3,X2)
| ~ surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK24(X0,X1,X3),X3)
| ~ member(X3,X2)
| ~ surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X3,X1,X0,X4,X2)
| increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| ( X4 != sK6 )
| ( X3 != sK4 )
| ( X2 != sK5 )
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_67]) ).
tcf(c_852,plain,
( sP0(sK4,sK3,sK2,sK6,sK5)
| increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) ),
inference(unflattening,[status(thm)],[c_851]) ).
tcf(c_859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( increasing(sK2,sK3,sK5,sK4,sK6)
| sP0(X3,X1,X0,X4,X2)
| ( X4 != sK6 )
| ( X3 != sK4 )
| ( X2 != sK5 )
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_67]) ).
tcf(c_860,plain,
( sP0(sK4,sK3,sK2,sK6,sK5)
| increasing(sK2,sK3,sK5,sK4,sK6) ),
inference(unflattening,[status(thm)],[c_859]) ).
tcf(c_867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ sP0(X3,X1,X0,X4,X2)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| ( X4 != sK6 )
| ( X3 != sK4 )
| ( X2 != sK5 )
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_66]) ).
tcf(c_868,plain,
( ~ sP0(sK4,sK3,sK2,sK6,sK5)
| ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) ),
inference(unflattening,[status(thm)],[c_867]) ).
tcf(c_1903,plain,
! [X0: $i,X1: $i,X2: $i] :
( surjective(X0,X1,X2)
| ( X2 != sK4 )
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_84]) ).
tcf(c_1904,plain,
surjective(sK2,sK3,sK4),
inference(unflattening,[status(thm)],[c_1903]) ).
tcf(c_2618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK15(X0,X2,X3),X2)
| ~ member(X3,X1)
| ( X2 != sK4 )
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_77]) ).
tcf(c_2619,plain,
! [X0: $i] :
( member(sK15(sK2,sK4,X0),sK4)
| ~ member(X0,sK3) ),
inference(unflattening,[status(thm)],[c_2618]) ).
tcf(c_8487,plain,
sP1(sK2,sK3,sK4),
inference(superposition,[status(thm)],[c_52,c_79]) ).
tcf(c_8492,plain,
injective(sK2,sK3,sK4),
inference(superposition,[status(thm)],[c_53,c_83]) ).
tcf(c_8505,plain,
surjective(sK2,sK3,sK4),
inference(superposition,[status(thm)],[c_53,c_84]) ).
tcf(c_8605,plain,
! [X0: $i] :
( member(sK15(sK2,sK4,X0),sK4)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_52,c_77]) ).
tcf(c_8622,plain,
! [X0: $i] :
( member(sK24(sK2,sK3,X0),sK3)
| ~ member(X0,sK4) ),
inference(superposition,[status(thm)],[c_8505,c_103]) ).
tcf(c_8636,plain,
! [X0: $i] :
( apply(sK2,X0,sK15(sK2,sK4,X0))
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_52,c_78]) ).
tcf(c_8655,plain,
! [X0: $i] :
( apply(sK2,sK24(sK2,sK3,X0),X0)
| ~ member(X0,sK4) ),
inference(superposition,[status(thm)],[c_8505,c_104]) ).
tcf(c_8708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( surjective(inverse_function(X0,X1,X2),X3,X4)
| ~ member(X5,X3)
| ~ member(X5,X2)
| ~ member(sK23(inverse_function(X0,X1,X2),X3,X4),X1)
| ~ apply(X0,sK23(inverse_function(X0,X1,X2),X3,X4),X5) ),
inference(superposition,[status(thm)],[c_81,c_101]) ).
tcf(c_9027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK24(sK2,sK3,X0) = X2 )
| ~ member(X0,sK4)
| ~ member(X2,X1)
| ~ member(X0,X3)
| ~ injective(sK2,X1,X3)
| ~ apply(sK2,X2,X0)
| ~ member(sK24(sK2,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_8655,c_100]) ).
tcf(c_9162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK6,X1,X3)
| sP0(sK4,sK3,sK2,sK6,sK5)
| ~ member(X3,sK4)
| ~ member(X2,sK3)
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK5,X0,X2)
| ~ apply(sK2,X2,X3)
| ~ apply(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_860,c_93]) ).
tcf(c_9272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( surjective(inverse_function(sK2,X0,X1),X2,X3)
| ~ member(sK23(inverse_function(sK2,X0,X1),X2,X3),sK3)
| ~ member(sK23(inverse_function(sK2,X0,X1),X2,X3),X0)
| ~ member(sK15(sK2,sK4,sK23(inverse_function(sK2,X0,X1),X2,X3)),X2)
| ~ member(sK15(sK2,sK4,sK23(inverse_function(sK2,X0,X1),X2,X3)),X1) ),
inference(superposition,[status(thm)],[c_8636,c_8708]) ).
tcf(c_9288,plain,
( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_9311,plain,
( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| member(sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_9430,plain,
( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_9431,plain,
( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| member(sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_9434,plain,
( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| ~ apply(sK5,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_9435,plain,
( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| apply(sK6,sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_9436,plain,
( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| apply(inverse_function(sK2,sK3,sK4),sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_9437,plain,
( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| apply(inverse_function(sK2,sK3,sK4),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_9663,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,X2,sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ member(X2,X1)
| ~ member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ apply(inverse_function(X0,X1,sK4),sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X2) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_10042,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,X2,sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ member(X2,X1)
| ~ member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ apply(inverse_function(X0,X1,sK4),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X2) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_10226,plain,
! [X0: $i,X1: $i,X2: $i] :
( surjective(inverse_function(sK2,X0,sK4),X1,X2)
| ~ member(sK23(inverse_function(sK2,X0,sK4),X1,X2),sK3)
| ~ member(sK23(inverse_function(sK2,X0,sK4),X1,X2),X0)
| ~ member(sK15(sK2,sK4,sK23(inverse_function(sK2,X0,sK4),X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_8605,c_9272]) ).
tcf(c_10350,plain,
! [X0: $i,X1: $i] :
( surjective(inverse_function(sK2,X0,sK4),sK4,X1)
| ~ member(sK23(inverse_function(sK2,X0,sK4),sK4,X1),sK3)
| ~ member(sK23(inverse_function(sK2,X0,sK4),sK4,X1),X0) ),
inference(superposition,[status(thm)],[c_8605,c_10226]) ).
tcf(c_10361,plain,
! [X0: $i] :
( surjective(inverse_function(sK2,X0,sK4),sK4,sK3)
| ~ member(sK23(inverse_function(sK2,X0,sK4),sK4,sK3),X0) ),
inference(superposition,[status(thm)],[c_102,c_10350]) ).
tcf(c_10375,plain,
surjective(inverse_function(sK2,sK3,sK4),sK4,sK3),
inference(superposition,[status(thm)],[c_102,c_10361]) ).
tcf(c_10516,plain,
! [X0: $i] :
( apply(inverse_function(sK2,sK3,sK4),sK24(inverse_function(sK2,sK3,sK4),sK4,X0),X0)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_10375,c_104]) ).
tcf(c_10517,plain,
! [X0: $i] :
( member(sK24(inverse_function(sK2,sK3,sK4),sK4,X0),sK4)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_10375,c_103]) ).
tcf(c_10542,plain,
! [X0: $i] :
( apply(sK2,X0,sK24(inverse_function(sK2,sK3,sK4),sK4,X0))
| ~ member(X0,sK3)
| ~ member(sK24(inverse_function(sK2,sK3,sK4),sK4,X0),sK4) ),
inference(superposition,[status(thm)],[c_10516,c_80]) ).
tcf(c_10696,plain,
! [X0: $i] :
( apply(sK2,X0,sK24(inverse_function(sK2,sK3,sK4),sK4,X0))
| ~ member(X0,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_10542,c_10517,c_10542]) ).
tcf(c_12592,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK24(sK2,sK3,X1) = X0 )
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ member(X1,X2)
| ~ injective(sK2,sK3,X2)
| ~ apply(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8622,c_9027]) ).
tcf(c_12640,plain,
! [X0: $i,X1: $i] :
( ( sK24(sK2,sK3,sK15(sK2,sK4,X0)) = X0 )
| ~ member(X0,sK3)
| ~ injective(sK2,sK3,X1)
| ~ member(sK15(sK2,sK4,X0),sK4)
| ~ member(sK15(sK2,sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_8636,c_12592]) ).
tcf(c_12818,plain,
! [X0: $i,X1: $i] :
( ( sK24(sK2,sK3,sK15(sK2,sK4,X0)) = X0 )
| ~ member(X0,sK3)
| ~ injective(sK2,sK3,X1)
| ~ member(sK15(sK2,sK4,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_12640,c_2619,c_12640]) ).
tcf(c_12829,plain,
! [X0: $i] :
( ( sK24(sK2,sK3,sK15(sK2,sK4,X0)) = X0 )
| ~ member(X0,sK3)
| ~ injective(sK2,sK3,sK4) ),
inference(superposition,[status(thm)],[c_8605,c_12818]) ).
tcf(c_12830,plain,
! [X0: $i] :
( ( sK24(sK2,sK3,sK15(sK2,sK4,X0)) = X0 )
| ~ member(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12829,c_8492]) ).
tcf(c_15516,plain,
! [X0: $i] :
( apply(X0,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ member(sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
| ~ apply(inverse_function(X0,sK3,sK4),sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_9663]) ).
tcf(c_16276,plain,
! [X0: $i] :
( apply(X0,sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ member(sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
| ~ apply(inverse_function(X0,sK3,sK4),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_10042]) ).
tcf(c_29307,plain,
( apply(sK2,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ member(sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
| ~ apply(inverse_function(sK2,sK3,sK4),sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_15516]) ).
tcf(c_29447,plain,
( apply(sK2,sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ member(sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
| ~ apply(inverse_function(sK2,sK3,sK4),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_16276]) ).
tcf(c_125056,plain,
surjective(sK2,sK3,sK4),
inference(superposition,[status(thm)],[c_53,c_84]) ).
tcf(c_125156,plain,
! [X0: $i] :
( member(sK15(sK2,sK4,X0),sK4)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_52,c_77]) ).
tcf(c_125173,plain,
! [X0: $i] :
( member(sK24(sK2,sK3,X0),sK3)
| ~ member(X0,sK4) ),
inference(superposition,[status(thm)],[c_125056,c_103]) ).
tcf(c_125186,plain,
! [X0: $i] :
( apply(sK2,X0,sK15(sK2,sK4,X0))
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_52,c_78]) ).
tcf(c_125205,plain,
! [X0: $i] :
( apply(sK2,sK24(sK2,sK3,X0),X0)
| ~ member(X0,sK4) ),
inference(superposition,[status(thm)],[c_125056,c_104]) ).
tcf(c_125253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( surjective(inverse_function(X0,X1,X2),X3,X4)
| ~ member(X5,X3)
| ~ member(X5,X2)
| ~ member(sK23(inverse_function(X0,X1,X2),X3,X4),X1)
| ~ apply(X0,sK23(inverse_function(X0,X1,X2),X3,X4),X5) ),
inference(superposition,[status(thm)],[c_81,c_101]) ).
tcf(c_125553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK24(sK2,sK3,X0) = X2 )
| ~ member(X0,sK4)
| ~ member(X2,X1)
| ~ member(X0,X3)
| ~ injective(sK2,X1,X3)
| ~ apply(sK2,X2,X0)
| ~ member(sK24(sK2,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_125205,c_100]) ).
tcf(c_125781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( surjective(inverse_function(sK2,X0,X1),X2,X3)
| ~ member(sK23(inverse_function(sK2,X0,X1),X2,X3),sK3)
| ~ member(sK23(inverse_function(sK2,X0,X1),X2,X3),X0)
| ~ member(sK15(sK2,sK4,sK23(inverse_function(sK2,X0,X1),X2,X3)),X2)
| ~ member(sK15(sK2,sK4,sK23(inverse_function(sK2,X0,X1),X2,X3)),X1) ),
inference(superposition,[status(thm)],[c_125186,c_125253]) ).
tcf(c_126621,plain,
! [X0: $i,X1: $i,X2: $i] :
( surjective(inverse_function(sK2,X0,sK4),X1,X2)
| ~ member(sK23(inverse_function(sK2,X0,sK4),X1,X2),sK3)
| ~ member(sK23(inverse_function(sK2,X0,sK4),X1,X2),X0)
| ~ member(sK15(sK2,sK4,sK23(inverse_function(sK2,X0,sK4),X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_125156,c_125781]) ).
tcf(c_126634,plain,
! [X0: $i,X1: $i] :
( surjective(inverse_function(sK2,X0,sK4),sK4,X1)
| ~ member(sK23(inverse_function(sK2,X0,sK4),sK4,X1),sK3)
| ~ member(sK23(inverse_function(sK2,X0,sK4),sK4,X1),X0) ),
inference(superposition,[status(thm)],[c_125156,c_126621]) ).
tcf(c_126737,plain,
! [X0: $i] :
( surjective(inverse_function(sK2,X0,sK4),sK4,sK3)
| ~ member(sK23(inverse_function(sK2,X0,sK4),sK4,sK3),X0) ),
inference(superposition,[status(thm)],[c_102,c_126634]) ).
tcf(c_126751,plain,
surjective(inverse_function(sK2,sK3,sK4),sK4,sK3),
inference(superposition,[status(thm)],[c_102,c_126737]) ).
tcf(c_126798,plain,
! [X0: $i] :
( apply(inverse_function(sK2,sK3,sK4),sK24(inverse_function(sK2,sK3,sK4),sK4,X0),X0)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_126751,c_104]) ).
tcf(c_126799,plain,
! [X0: $i] :
( member(sK24(inverse_function(sK2,sK3,sK4),sK4,X0),sK4)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_126751,c_103]) ).
tcf(c_126825,plain,
! [X0: $i] :
( apply(sK2,X0,sK24(inverse_function(sK2,sK3,sK4),sK4,X0))
| ~ member(X0,sK3)
| ~ member(sK24(inverse_function(sK2,sK3,sK4),sK4,X0),sK4) ),
inference(superposition,[status(thm)],[c_126798,c_80]) ).
tcf(c_126856,plain,
! [X0: $i] :
( apply(sK2,X0,sK24(inverse_function(sK2,sK3,sK4),sK4,X0))
| ~ member(X0,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_126825,c_10696]) ).
tcf(c_128719,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK24(sK2,sK3,X1) = X0 )
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ member(X1,X2)
| ~ injective(sK2,sK3,X2)
| ~ apply(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_125173,c_125553]) ).
tcf(c_128769,plain,
! [X0: $i,X1: $i] :
( ( sK24(sK2,sK3,sK15(sK2,sK4,X0)) = X0 )
| ~ member(X0,sK3)
| ~ injective(sK2,sK3,X1)
| ~ member(sK15(sK2,sK4,X0),sK4)
| ~ member(sK15(sK2,sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_125186,c_128719]) ).
tcf(c_129021,plain,
! [X0: $i] :
( ( sK24(sK2,sK3,sK15(sK2,sK4,X0)) = X0 )
| ~ member(X0,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_128769,c_12830]) ).
tcf(c_129042,plain,
! [X0: $i,X1: $i] :
( surjective(X0,X1,sK3)
| ( sK24(sK2,sK3,sK15(sK2,sK4,sK23(X0,X1,sK3))) = sK23(X0,X1,sK3) ) ),
inference(superposition,[status(thm)],[c_102,c_129021]) ).
tcf(c_129430,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK24(X1,X2,X0),X2)
| ( sK24(sK2,sK3,sK15(sK2,sK4,sK23(X1,X2,sK3))) = sK23(X1,X2,sK3) )
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_129042,c_103]) ).
tcf(c_130045,plain,
! [X0: $i] :
( apply(sK2,X0,sK15(sK2,sK4,X0))
| ~ member(X0,sK3) ),
inference(resolution,[status(thm)],[c_78,c_52]) ).
tcf(c_130276,plain,
! [X0: $i,X1: $i] :
( ( sK24(sK2,sK3,sK15(sK2,sK4,sK23(X1,sK3,sK3))) = sK23(X1,sK3,sK3) )
| ( sK24(sK2,sK3,sK15(sK2,sK4,sK24(X1,sK3,X0))) = sK24(X1,sK3,X0) )
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_129430,c_129021]) ).
tcf(c_133755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK24(X0,X1,X3),X3)
| ~ member(X3,X2)
| ~ one_to_one(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_104,c_84]) ).
tcf(c_135626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X3 = X5 )
| ~ member(X5,X1)
| ~ member(X4,X2)
| ~ member(X3,X1)
| ~ apply(X0,X5,X4)
| ~ apply(X0,X3,X4)
| ~ one_to_one(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_100,c_83]) ).
tcf(c_135810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( increasing(X1,X2,X3,sK3,X4)
| ( sK24(sK2,sK3,sK15(sK2,sK4,sK23(X0,sK3,sK3))) = sK23(X0,sK3,sK3) )
| ( sK24(sK2,sK3,sK15(sK2,sK4,sK24(X0,sK3,sK19(X1,X2,X3,sK3,X4)))) = sK24(X0,sK3,sK19(X1,X2,X3,sK3,X4)) ) ),
inference(superposition,[status(thm)],[c_89,c_130276]) ).
tcf(c_138966,plain,
! [X0: $i] :
( apply(sK2,sK24(sK2,sK3,X0),X0)
| ~ member(X0,sK4) ),
inference(resolution,[status(thm)],[c_133755,c_53]) ).
tcf(c_142000,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ member(X2,sK3)
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK2,X2,X1)
| ~ apply(sK2,X0,X1) ),
inference(resolution,[status(thm)],[c_135626,c_53]) ).
tcf(c_143549,plain,
! [X0: $i,X1: $i] :
( ( sK24(sK2,sK3,X0) = X1 )
| ~ member(X1,sK3)
| ~ member(X0,sK4)
| ~ apply(sK2,X1,X0)
| ~ member(sK24(sK2,sK3,X0),sK3) ),
inference(resolution,[status(thm)],[c_142000,c_138966]) ).
tcf(c_146349,plain,
! [X0: $i,X1: $i] :
( ( sK24(sK2,sK3,X0) = X1 )
| ~ member(X1,sK3)
| ~ member(X0,sK4)
| ~ apply(sK2,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_143549,c_8622,c_143549]) ).
tcf(c_146350,plain,
! [X0: $i,X1: $i] :
( ( sK24(sK2,sK3,X1) = X0 )
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK2,X0,X1) ),
inference(renaming,[status(thm)],[c_146349]) ).
tcf(c_222995,plain,
! [X0: $i] :
( ( sK24(sK2,sK3,sK15(sK2,sK4,sK23(X0,sK3,sK3))) = sK23(X0,sK3,sK3) )
| ( sK24(sK2,sK3,sK15(sK2,sK4,sK24(X0,sK3,sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)))) = sK24(X0,sK3,sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) )
| ~ sP0(sK4,sK3,sK2,sK6,sK5)
| ~ increasing(sK2,sK3,sK5,sK4,sK6) ),
inference(superposition,[status(thm)],[c_135810,c_868]) ).
tcf(c_227185,plain,
( increasing(sK2,sK3,sK5,sK4,sK6)
| apply(sK2,sK18(sK2,sK3,sK5,sK4,sK6),sK19(sK2,sK3,sK5,sK4,sK6)) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_227186,plain,
( increasing(sK2,sK3,sK5,sK4,sK6)
| apply(sK2,sK16(sK2,sK3,sK5,sK4,sK6),sK17(sK2,sK3,sK5,sK4,sK6)) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_227187,plain,
( increasing(sK2,sK3,sK5,sK4,sK6)
| member(sK19(sK2,sK3,sK5,sK4,sK6),sK4) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_227188,plain,
( increasing(sK2,sK3,sK5,sK4,sK6)
| member(sK18(sK2,sK3,sK5,sK4,sK6),sK3) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_227189,plain,
( increasing(sK2,sK3,sK5,sK4,sK6)
| member(sK17(sK2,sK3,sK5,sK4,sK6),sK4) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_227190,plain,
( increasing(sK2,sK3,sK5,sK4,sK6)
| member(sK16(sK2,sK3,sK5,sK4,sK6),sK3) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_227191,plain,
( increasing(sK2,sK3,sK5,sK4,sK6)
| apply(sK5,sK16(sK2,sK3,sK5,sK4,sK6),sK18(sK2,sK3,sK5,sK4,sK6)) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_273807,plain,
( increasing(sK2,sK3,sK5,sK4,sK6)
| ~ apply(sK6,sK17(sK2,sK3,sK5,sK4,sK6),sK19(sK2,sK3,sK5,sK4,sK6)) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_278724,plain,
surjective(sK2,sK3,sK4),
inference(superposition,[status(thm)],[c_53,c_84]) ).
tcf(c_278905,plain,
! [X0: $i] :
( member(sK15(sK2,sK4,X0),sK4)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_52,c_77]) ).
tcf(c_278922,plain,
! [X0: $i] :
( apply(sK2,X0,sK15(sK2,sK4,X0))
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_52,c_78]) ).
tcf(c_279180,plain,
! [X0: $i] :
( member(sK24(sK2,sK3,X0),sK3)
| ~ member(X0,sK4) ),
inference(superposition,[status(thm)],[c_278724,c_103]) ).
tcf(c_279335,plain,
! [X0: $i] :
( apply(sK2,sK24(sK2,sK3,X0),X0)
| ~ member(X0,sK4) ),
inference(superposition,[status(thm)],[c_278724,c_104]) ).
tcf(c_279342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK24(sK2,sK3,X0) = X2 )
| ~ member(X0,sK4)
| ~ member(X2,X1)
| ~ member(X0,X3)
| ~ injective(sK2,X1,X3)
| ~ apply(sK2,X2,X0)
| ~ member(sK24(sK2,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_279335,c_100]) ).
tcf(c_280101,plain,
! [X0: $i] :
( member(sK24(sK2,sK3,X0),sK3)
| ~ member(X0,sK4)
| ~ surjective(sK2,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_280907,plain,
( member(sK24(sK2,sK3,sK10(sK4,sK3,sK2,sK6,sK5)),sK3)
| ~ surjective(sK2,sK3,sK4)
| ~ member(sK10(sK4,sK3,sK2,sK6,sK5),sK4) ),
inference(instantiation,[status(thm)],[c_280101]) ).
tcf(c_280908,plain,
( member(sK24(sK2,sK3,sK8(sK4,sK3,sK2,sK6,sK5)),sK3)
| ~ surjective(sK2,sK3,sK4)
| ~ member(sK8(sK4,sK3,sK2,sK6,sK5),sK4) ),
inference(instantiation,[status(thm)],[c_280101]) ).
tcf(c_283064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK24(sK2,sK3,X1) = X0 )
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ member(X1,X2)
| ~ injective(sK2,sK3,X2)
| ~ apply(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_279180,c_279342]) ).
tcf(c_285544,plain,
! [X0: $i,X1: $i] :
( ( sK24(sK2,sK3,X1) = X0 )
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK2,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_283064,c_146350]) ).
tcf(c_285565,plain,
! [X0: $i] :
( ( sK24(sK2,sK3,sK15(sK2,sK4,X0)) = X0 )
| ~ member(X0,sK3)
| ~ member(sK15(sK2,sK4,X0),sK4) ),
inference(superposition,[status(thm)],[c_278922,c_285544]) ).
tcf(c_286237,plain,
! [X0: $i] :
( ( sK24(sK2,sK3,sK15(sK2,sK4,X0)) = X0 )
| ~ member(X0,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_285565,c_12830]) ).
fof(f45,definition,
! [X3,X1,X0,X4,X2] :
( sP0(X3,X1,X0,X4,X2)
<=> ( ! [X5,X6,X7,X8] :
( ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1)
| ( apply(X2,X5,X7)
<=> apply(X4,X6,X8) ) )
& one_to_one(X0,X1,X3)
& maps(X0,X1,X3) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4] :
( isomorphism(X0,X1,X2,X3,X4)
<=> sP0(X3,X1,X0,X4,X2) ),
inference(definition_folding,[],[f35,f45]) ).
fof(f47,definition,
! [X0,X1,X2] :
( sP1(X0,X1,X2)
<=> ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f48,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( sP1(X0,X1,X2)
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(definition_folding,[],[f37,f47]) ).
fof(f52,plain,
! [X3,X1,X0,X4,X2] :
( ( ~ sP0(X3,X1,X0,X4,X2)
| ( ! [X5,X6,X7,X8] :
( ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1)
| ( ( ~ apply(X2,X5,X7)
| apply(X4,X6,X8) )
& ( ~ apply(X4,X6,X8)
| apply(X2,X5,X7) ) ) )
& one_to_one(X0,X1,X3)
& maps(X0,X1,X3) ) )
& ( ? [X5,X6,X7,X8] :
( apply(X0,X7,X8)
& apply(X0,X5,X6)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1)
& ( apply(X2,X5,X7)
| apply(X4,X6,X8) )
& ( ~ apply(X2,X5,X7)
| ~ apply(X4,X6,X8) ) )
| ~ one_to_one(X0,X1,X3)
| ~ maps(X0,X1,X3)
| sP0(X3,X1,X0,X4,X2) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f53,plain,
! [X3,X1,X0,X4,X2] :
( ( ~ sP0(X3,X1,X0,X4,X2)
| ( ! [X5,X6,X7,X8] :
( ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1)
| ( ( ~ apply(X2,X5,X7)
| apply(X4,X6,X8) )
& ( ~ apply(X4,X6,X8)
| apply(X2,X5,X7) ) ) )
& one_to_one(X0,X1,X3)
& maps(X0,X1,X3) ) )
& ( ? [X5,X6,X7,X8] :
( apply(X0,X7,X8)
& apply(X0,X5,X6)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1)
& ( apply(X2,X5,X7)
| apply(X4,X6,X8) )
& ( ~ apply(X2,X5,X7)
| ~ apply(X4,X6,X8) ) )
| ~ one_to_one(X0,X1,X3)
| ~ maps(X0,X1,X3)
| sP0(X3,X1,X0,X4,X2) ) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ sP0(X0,X1,X2,X3,X4)
| ( ! [X9,X10,X11,X12] :
( ~ apply(X2,X11,X12)
| ~ apply(X2,X9,X10)
| ~ member(X12,X0)
| ~ member(X11,X1)
| ~ member(X10,X0)
| ~ member(X9,X1)
| ( ( ~ apply(X4,X9,X11)
| apply(X3,X10,X12) )
& ( ~ apply(X3,X10,X12)
| apply(X4,X9,X11) ) ) )
& one_to_one(X2,X1,X0)
& maps(X2,X1,X0) ) )
& ( ? [X5,X6,X7,X8] :
( apply(X2,X7,X8)
& apply(X2,X5,X6)
& member(X8,X0)
& member(X7,X1)
& member(X6,X0)
& member(X5,X1)
& ( apply(X4,X5,X7)
| apply(X3,X6,X8) )
& ( ~ apply(X4,X5,X7)
| ~ apply(X3,X6,X8) ) )
| ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4) ) ),
inference(rectify,[],[f53]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ sP0(X0,X1,X2,X3,X4)
| ( ! [X9,X10,X11,X12] :
( ~ apply(X2,X11,X12)
| ~ apply(X2,X9,X10)
| ~ member(X12,X0)
| ~ member(X11,X1)
| ~ member(X10,X0)
| ~ member(X9,X1)
| ( ( ~ apply(X4,X9,X11)
| apply(X3,X10,X12) )
& ( ~ apply(X3,X10,X12)
| apply(X4,X9,X11) ) ) )
& one_to_one(X2,X1,X0)
& maps(X2,X1,X0) ) )
& ( ( apply(X2,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
& apply(X2,sK7(X0,X1,X2,X3,X4),sK8(X0,X1,X2,X3,X4))
& member(sK10(X0,X1,X2,X3,X4),X0)
& member(sK9(X0,X1,X2,X3,X4),X1)
& member(sK8(X0,X1,X2,X3,X4),X0)
& member(sK7(X0,X1,X2,X3,X4),X1)
& ( apply(X4,sK7(X0,X1,X2,X3,X4),sK9(X0,X1,X2,X3,X4))
| apply(X3,sK8(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4)) )
& ( ~ apply(X4,sK7(X0,X1,X2,X3,X4),sK9(X0,X1,X2,X3,X4))
| ~ apply(X3,sK8(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4)) ) )
| ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10]),skolemize(X5,sK7(X0,X1,X2,X3,X4)),skolemize(X6,sK8(X0,X1,X2,X3,X4)),skolemize(X7,sK9(X0,X1,X2,X3,X4)),skolemize(X8,sK10(X0,X1,X2,X3,X4))],[f54]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( ~ sP1(X0,X1,X2)
| ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 ) )
& ( ? [X5,X6,X7] :
( member(X7,X2)
& member(X6,X2)
& member(X5,X1)
& apply(X0,X5,X7)
& apply(X0,X5,X6)
& X6 != X7 )
| sP1(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( ~ sP1(X0,X1,X2)
| ! [X6,X7,X8] :
( ~ member(X8,X2)
| ~ member(X7,X2)
| ~ member(X6,X1)
| ~ apply(X0,X6,X8)
| ~ apply(X0,X6,X7)
| X7 = X8 ) )
& ( ? [X3,X4,X5] :
( member(X5,X2)
& member(X4,X2)
& member(X3,X1)
& apply(X0,X3,X5)
& apply(X0,X3,X4)
& X4 != X5 )
| sP1(X0,X1,X2) ) ),
inference(rectify,[],[f57]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ( ~ sP1(X0,X1,X2)
| ! [X6,X7,X8] :
( ~ member(X8,X2)
| ~ member(X7,X2)
| ~ member(X6,X1)
| ~ apply(X0,X6,X8)
| ~ apply(X0,X6,X7)
| X7 = X8 ) )
& ( ( member(sK13(X0,X1,X2),X2)
& member(sK12(X0,X1,X2),X2)
& member(sK11(X0,X1,X2),X1)
& apply(X0,sK11(X0,X1,X2),sK13(X0,X1,X2))
& apply(X0,sK11(X0,X1,X2),sK12(X0,X1,X2))
& sK12(X0,X1,X2) != sK13(X0,X1,X2) )
| sP1(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X3,sK11(X0,X1,X2)),skolemize(X4,sK12(X0,X1,X2)),skolemize(X5,sK13(X0,X1,X2))],[f58]) ).
fof(f81,plain,
! [X2,X3,X10,X0,X11,X1,X9,X4,X12] :
( ~ sP0(X0,X1,X2,X3,X4)
| ~ apply(X2,X11,X12)
| ~ apply(X2,X9,X10)
| ~ member(X12,X0)
| ~ member(X11,X1)
| ~ member(X10,X0)
| ~ member(X9,X1)
| ~ apply(X4,X9,X11)
| apply(X3,X10,X12) ),
inference(cnf_transformation,[],[f55]) ).
fof(f82,plain,
! [X2,X3,X10,X0,X11,X1,X9,X4,X12] :
( ~ sP0(X0,X1,X2,X3,X4)
| ~ apply(X2,X11,X12)
| ~ apply(X2,X9,X10)
| ~ member(X12,X0)
| ~ member(X11,X1)
| ~ member(X10,X0)
| ~ member(X9,X1)
| ~ apply(X3,X10,X12)
| apply(X4,X9,X11) ),
inference(cnf_transformation,[],[f55]) ).
fof(f85,plain,
! [X2,X3,X0,X1,X4] :
( apply(X2,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
| ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f55]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X4] :
( apply(X2,sK7(X0,X1,X2,X3,X4),sK8(X0,X1,X2,X3,X4))
| ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f55]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X4] :
( member(sK10(X0,X1,X2,X3,X4),X0)
| ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f55]) ).
fof(f88,plain,
! [X2,X3,X0,X1,X4] :
( member(sK9(X0,X1,X2,X3,X4),X1)
| ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f55]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X4] :
( member(sK8(X0,X1,X2,X3,X4),X0)
| ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f55]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4] :
( member(sK7(X0,X1,X2,X3,X4),X1)
| ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f55]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X4] :
( apply(X4,sK7(X0,X1,X2,X3,X4),sK9(X0,X1,X2,X3,X4))
| apply(X3,sK8(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
| ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f55]) ).
fof(f92,plain,
! [X2,X3,X0,X1,X4] :
( ~ apply(X4,sK7(X0,X1,X2,X3,X4),sK9(X0,X1,X2,X3,X4))
| ~ apply(X3,sK8(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
| ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f55]) ).
fof(f95,plain,
! [X2,X0,X1,X8,X6,X7] :
( ~ sP1(X0,X1,X2)
| ~ member(X8,X2)
| ~ member(X7,X2)
| ~ member(X6,X1)
| ~ apply(X0,X6,X8)
| ~ apply(X0,X6,X7)
| X7 = X8 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X1,X2,X3,X0,X4)
| ~ one_to_one(X3,X2,X1)
| ~ maps(X3,X2,X1)
| ~ apply(X4,sK7(X1,X2,X3,X0,X4),sK9(X1,X2,X3,X0,X4))
| ~ apply(X0,sK8(X1,X2,X3,X0,X4),sK10(X1,X2,X3,X0,X4)) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X2,X1,X0,X3,X4)
| apply(X4,sK7(X2,X1,X0,X3,X4),sK9(X2,X1,X0,X3,X4))
| apply(X3,sK8(X2,X1,X0,X3,X4),sK10(X2,X1,X0,X3,X4))
| ~ one_to_one(X0,X1,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X2,X1,X0,X3,X4)
| member(sK7(X2,X1,X0,X3,X4),X1)
| ~ one_to_one(X0,X1,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X2,X1,X0,X3,X4)
| member(sK8(X2,X1,X0,X3,X4),X2)
| ~ one_to_one(X0,X1,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X2,X1,X0,X3,X4)
| member(sK9(X2,X1,X0,X3,X4),X1)
| ~ one_to_one(X0,X1,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X2,X1,X0,X3,X4)
| member(sK10(X2,X1,X0,X3,X4),X2)
| ~ one_to_one(X0,X1,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X2,X1,X0,X3,X4)
| apply(X0,sK7(X2,X1,X0,X3,X4),sK8(X2,X1,X0,X3,X4))
| ~ one_to_one(X0,X1,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X2,X1,X0,X3,X4)
| apply(X0,sK9(X2,X1,X0,X3,X4),sK10(X2,X1,X0,X3,X4))
| ~ one_to_one(X0,X1,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( apply(X4,X5,X7)
| ~ member(X8,X0)
| ~ member(X7,X1)
| ~ member(X6,X0)
| ~ member(X5,X1)
| ~ apply(X3,X6,X8)
| ~ apply(X2,X7,X8)
| ~ apply(X2,X5,X6)
| ~ sP0(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( apply(X3,X6,X8)
| ~ member(X8,X0)
| ~ member(X7,X1)
| ~ member(X6,X0)
| ~ member(X5,X1)
| ~ apply(X4,X5,X7)
| ~ apply(X2,X7,X8)
| ~ apply(X2,X5,X6)
| ~ sP0(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ~ member(X3,X5)
| ~ member(X2,X5)
| ~ member(X1,X4)
| ~ sP1(X0,X4,X5)
| ~ apply(X0,X1,X3)
| ~ apply(X0,X1,X2) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_3661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( apply(X3,X6,X8)
| increasing(sK2,sK3,sK5,sK4,sK6)
| ~ member(X8,X0)
| ~ member(X7,X1)
| ~ member(X6,X0)
| ~ member(X5,X1)
| ~ apply(X4,X5,X7)
| ~ apply(X2,X7,X8)
| ~ apply(X2,X5,X6)
| ( X4 != sK5 )
| ( X3 != sK6 )
| ( X2 != sK2 )
| ( X1 != sK3 )
| ( X0 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_65,c_860]) ).
tcf(c_3662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK6,X1,X3)
| increasing(sK2,sK3,sK5,sK4,sK6)
| ~ member(X3,sK4)
| ~ member(X2,sK3)
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK5,X0,X2)
| ~ apply(sK2,X2,X3)
| ~ apply(sK2,X0,X1) ),
inference(unflattening,[status(thm)],[c_3661]) ).
tcf(c_3691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( apply(X3,X6,X8)
| increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| ~ member(X8,X0)
| ~ member(X7,X1)
| ~ member(X6,X0)
| ~ member(X5,X1)
| ~ apply(X4,X5,X7)
| ~ apply(X2,X7,X8)
| ~ apply(X2,X5,X6)
| ( X4 != sK5 )
| ( X3 != sK6 )
| ( X2 != sK2 )
| ( X1 != sK3 )
| ( X0 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_65,c_852]) ).
tcf(c_3692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK6,X1,X3)
| increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| ~ member(X3,sK4)
| ~ member(X2,sK3)
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK5,X0,X2)
| ~ apply(sK2,X2,X3)
| ~ apply(sK2,X0,X1) ),
inference(unflattening,[status(thm)],[c_3691]) ).
tcf(c_3831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK10(X2,X1,X0,X3,X4),X2)
| ~ one_to_one(X0,X1,X2)
| ~ maps(X0,X1,X2)
| ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| ( X4 != sK5 )
| ( X3 != sK6 )
| ( X2 != sK4 )
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_868]) ).
tcf(c_3832,plain,
( member(sK10(sK4,sK3,sK2,sK6,sK5),sK4)
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4)
| ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) ),
inference(unflattening,[status(thm)],[c_3831]) ).
tcf(c_3833,plain,
( member(sK10(sK4,sK3,sK2,sK6,sK5),sK4)
| ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_3832,c_53,c_52,c_3832]) ).
tcf(c_3844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK9(X2,X1,X0,X3,X4),X1)
| ~ one_to_one(X0,X1,X2)
| ~ maps(X0,X1,X2)
| ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| ( X4 != sK5 )
| ( X3 != sK6 )
| ( X2 != sK4 )
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_868]) ).
tcf(c_3845,plain,
( member(sK9(sK4,sK3,sK2,sK6,sK5),sK3)
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4)
| ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) ),
inference(unflattening,[status(thm)],[c_3844]) ).
tcf(c_3846,plain,
( member(sK9(sK4,sK3,sK2,sK6,sK5),sK3)
| ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_3845,c_53,c_52,c_3845]) ).
tcf(c_3857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(X2,X1,X0,X3,X4),X2)
| ~ one_to_one(X0,X1,X2)
| ~ maps(X0,X1,X2)
| ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| ( X4 != sK5 )
| ( X3 != sK6 )
| ( X2 != sK4 )
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_868]) ).
tcf(c_3858,plain,
( member(sK8(sK4,sK3,sK2,sK6,sK5),sK4)
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4)
| ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) ),
inference(unflattening,[status(thm)],[c_3857]) ).
tcf(c_3859,plain,
( member(sK8(sK4,sK3,sK2,sK6,sK5),sK4)
| ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_3858,c_53,c_52,c_3858]) ).
tcf(c_3870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X2,X1,X0,X3,X4),X1)
| ~ one_to_one(X0,X1,X2)
| ~ maps(X0,X1,X2)
| ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| ( X4 != sK5 )
| ( X3 != sK6 )
| ( X2 != sK4 )
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_868]) ).
tcf(c_3871,plain,
( member(sK7(sK4,sK3,sK2,sK6,sK5),sK3)
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4)
| ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) ),
inference(unflattening,[status(thm)],[c_3870]) ).
tcf(c_8884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK15(sK2,sK4,X0) = X2 )
| ~ member(X0,sK3)
| ~ member(X2,X1)
| ~ member(X0,X3)
| ~ sP1(sK2,X3,X1)
| ~ apply(sK2,X0,X2)
| ~ member(sK15(sK2,sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_8636,c_74]) ).
tcf(c_9303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK15(sK2,sK4,X0) = X1 )
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ member(X0,X2)
| ~ sP1(sK2,X2,sK4)
| ~ apply(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8605,c_8884]) ).
tcf(c_9336,plain,
! [X0: $i,X1: $i] :
( ( sK15(sK2,sK4,sK24(sK2,sK3,X0)) = X0 )
| ~ member(X0,sK4)
| ~ sP1(sK2,X1,sK4)
| ~ member(sK24(sK2,sK3,X0),sK3)
| ~ member(sK24(sK2,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_8655,c_9303]) ).
tcf(c_9439,plain,
! [X0: $i,X1: $i] :
( ( sK15(sK2,sK4,sK24(sK2,sK3,X0)) = X0 )
| ~ member(X0,sK4)
| ~ sP1(sK2,X1,sK4)
| ~ member(sK24(sK2,sK3,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_9336,c_8622,c_9336]) ).
tcf(c_9449,plain,
! [X0: $i] :
( ( sK15(sK2,sK4,sK24(sK2,sK3,X0)) = X0 )
| ~ member(X0,sK4)
| ~ sP1(sK2,sK3,sK4) ),
inference(superposition,[status(thm)],[c_8622,c_9439]) ).
tcf(c_9450,plain,
! [X0: $i] :
( ( sK15(sK2,sK4,sK24(sK2,sK3,X0)) = X0 )
| ~ member(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9449,c_8487]) ).
tcf(c_9701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK6,X1,X3)
| ~ apply(sK2,X0,X1)
| ~ apply(sK2,X2,X3)
| ~ apply(sK5,X0,X2)
| ~ member(X0,sK3)
| ~ member(X1,sK4)
| ~ member(X2,sK3)
| ~ member(X3,sK4) ),
inference(global_subsumption_just,[status(thm)],[c_9162,c_868,c_3662,c_3692,c_9162]) ).
tcf(c_9702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK6,X1,X3)
| ~ member(X3,sK4)
| ~ member(X2,sK3)
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK5,X0,X2)
| ~ apply(sK2,X2,X3)
| ~ apply(sK2,X0,X1) ),
inference(renaming,[status(thm)],[c_9701]) ).
tcf(c_9731,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK6,sK15(sK2,sK4,X0),X2)
| ~ member(X2,sK4)
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ apply(sK5,X0,X1)
| ~ apply(sK2,X1,X2)
| ~ member(sK15(sK2,sK4,X0),sK4) ),
inference(superposition,[status(thm)],[c_8636,c_9702]) ).
tcf(c_9877,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK6,sK15(sK2,sK4,X0),X2)
| ~ member(X2,sK4)
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ apply(sK5,X0,X1)
| ~ apply(sK2,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_9731,c_2619,c_9731]) ).
tcf(c_9878,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK6,sK15(sK2,sK4,X2),X1)
| ~ member(X2,sK3)
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK5,X2,X0)
| ~ apply(sK2,X0,X1) ),
inference(renaming,[status(thm)],[c_9877]) ).
tcf(c_9903,plain,
! [X0: $i,X1: $i] :
( apply(sK6,sK15(sK2,sK4,X1),sK15(sK2,sK4,X0))
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ apply(sK5,X1,X0)
| ~ member(sK15(sK2,sK4,X0),sK4) ),
inference(superposition,[status(thm)],[c_8636,c_9878]) ).
tcf(c_10708,plain,
! [X0: $i,X1: $i] :
( ( sK24(inverse_function(sK2,sK3,sK4),sK4,X0) = sK15(sK2,sK4,X0) )
| ~ member(X0,sK3)
| ~ member(X0,X1)
| ~ sP1(sK2,X1,sK4)
| ~ member(sK24(inverse_function(sK2,sK3,sK4),sK4,X0),sK4) ),
inference(superposition,[status(thm)],[c_10696,c_9303]) ).
tcf(c_15538,plain,
! [X0: $i,X1: $i] :
( ( sK24(inverse_function(sK2,sK3,sK4),sK4,X0) = sK15(sK2,sK4,X0) )
| ~ member(X0,sK3)
| ~ member(X0,X1)
| ~ sP1(sK2,X1,sK4) ),
inference(global_subsumption_just,[status(thm)],[c_10708,c_10517,c_10708]) ).
tcf(c_15539,plain,
! [X0: $i,X1: $i] :
( ( sK24(inverse_function(sK2,sK3,sK4),sK4,X1) = sK15(sK2,sK4,X1) )
| ~ member(X1,sK3)
| ~ member(X1,X0)
| ~ sP1(sK2,X0,sK4) ),
inference(renaming,[status(thm)],[c_15538]) ).
tcf(c_15549,plain,
! [X0: $i] :
( ( sK24(inverse_function(sK2,sK3,sK4),sK4,X0) = sK15(sK2,sK4,X0) )
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_8487,c_15539]) ).
tcf(c_125418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK15(sK2,sK4,X0) = X2 )
| ~ member(X0,sK3)
| ~ member(X2,X1)
| ~ member(X0,X3)
| ~ sP1(sK2,X3,X1)
| ~ apply(sK2,X0,X2)
| ~ member(sK15(sK2,sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_125186,c_74]) ).
tcf(c_125808,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK15(sK2,sK4,X0) = X1 )
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ member(X0,X2)
| ~ sP1(sK2,X2,sK4)
| ~ apply(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_125156,c_125418]) ).
tcf(c_125839,plain,
! [X0: $i,X1: $i] :
( ( sK15(sK2,sK4,sK24(sK2,sK3,X0)) = X0 )
| ~ member(X0,sK4)
| ~ sP1(sK2,X1,sK4)
| ~ member(sK24(sK2,sK3,X0),sK3)
| ~ member(sK24(sK2,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_125205,c_125808]) ).
tcf(c_125927,plain,
! [X0: $i] :
( ( sK15(sK2,sK4,sK24(sK2,sK3,X0)) = X0 )
| ~ member(X0,sK4) ),
inference(global_subsumption_just,[status(thm)],[c_125839,c_9450]) ).
tcf(c_125934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sK4,X1,X0,X2,X3)
| ( sK15(sK2,sK4,sK24(sK2,sK3,sK8(sK4,X1,X0,X2,X3))) = sK8(sK4,X1,X0,X2,X3) )
| ~ one_to_one(X0,X1,sK4)
| ~ maps(X0,X1,sK4) ),
inference(superposition,[status(thm)],[c_57,c_125927]) ).
tcf(c_125936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sK4,X1,X0,X2,X3)
| ( sK15(sK2,sK4,sK24(sK2,sK3,sK10(sK4,X1,X0,X2,X3))) = sK10(sK4,X1,X0,X2,X3) )
| ~ one_to_one(X0,X1,sK4)
| ~ maps(X0,X1,sK4) ),
inference(superposition,[status(thm)],[c_59,c_125927]) ).
tcf(c_126081,plain,
! [X0: $i,X1: $i] :
( sP0(sK4,sK3,sK2,X0,X1)
| apply(X1,sK7(sK4,sK3,sK2,X0,X1),sK9(sK4,sK3,sK2,X0,X1))
| apply(X0,sK8(sK4,sK3,sK2,X0,X1),sK10(sK4,sK3,sK2,X0,X1))
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_126867,plain,
! [X0: $i,X1: $i] :
( ( sK24(inverse_function(sK2,sK3,sK4),sK4,X0) = sK15(sK2,sK4,X0) )
| ~ member(X0,sK3)
| ~ member(X0,X1)
| ~ sP1(sK2,X1,sK4)
| ~ member(sK24(inverse_function(sK2,sK3,sK4),sK4,X0),sK4) ),
inference(superposition,[status(thm)],[c_126856,c_125808]) ).
tcf(c_131845,plain,
! [X0: $i] :
( ( sK24(inverse_function(sK2,sK3,sK4),sK4,X0) = sK15(sK2,sK4,X0) )
| ~ member(X0,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_126867,c_15549]) ).
tcf(c_131851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X1,sK3,X0,X2,X3)
| ( sK24(inverse_function(sK2,sK3,sK4),sK4,sK7(X1,sK3,X0,X2,X3)) = sK15(sK2,sK4,sK7(X1,sK3,X0,X2,X3)) )
| ~ one_to_one(X0,sK3,X1)
| ~ maps(X0,sK3,X1) ),
inference(superposition,[status(thm)],[c_56,c_131845]) ).
tcf(c_131853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X1,sK3,X0,X2,X3)
| ( sK24(inverse_function(sK2,sK3,sK4),sK4,sK9(X1,sK3,X0,X2,X3)) = sK15(sK2,sK4,sK9(X1,sK3,X0,X2,X3)) )
| ~ one_to_one(X0,sK3,X1)
| ~ maps(X0,sK3,X1) ),
inference(superposition,[status(thm)],[c_58,c_131845]) ).
tcf(c_131867,plain,
! [X0: $i] :
( ( sK24(inverse_function(sK2,sK3,sK4),sK4,sK24(sK2,sK3,X0)) = sK15(sK2,sK4,sK24(sK2,sK3,X0)) )
| ~ member(X0,sK4) ),
inference(superposition,[status(thm)],[c_125173,c_131845]) ).
tcf(c_132042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( increasing(X0,X1,X2,sK4,X3)
| ( sK24(inverse_function(sK2,sK3,sK4),sK4,sK24(sK2,sK3,sK19(X0,X1,X2,sK4,X3))) = sK15(sK2,sK4,sK24(sK2,sK3,sK19(X0,X1,X2,sK4,X3))) ) ),
inference(superposition,[status(thm)],[c_89,c_131867]) ).
tcf(c_135478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X4 = X5 )
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1)
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ maps(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_74,c_79]) ).
tcf(c_141808,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ member(X2,sK4)
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK2,X0,X2)
| ~ apply(sK2,X0,X1) ),
inference(resolution,[status(thm)],[c_135478,c_52]) ).
tcf(c_142486,plain,
! [X0: $i,X1: $i] :
( ( sK15(sK2,sK4,X0) = X1 )
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK2,X0,X1)
| ~ member(sK15(sK2,sK4,X0),sK4) ),
inference(resolution,[status(thm)],[c_141808,c_130045]) ).
tcf(c_143659,plain,
! [X0: $i] :
( sP0(sK4,sK3,sK2,sK6,X0)
| apply(sK6,sK8(sK4,sK3,sK2,sK6,X0),sK10(sK4,sK3,sK2,sK6,X0))
| apply(X0,sK7(sK4,sK3,sK2,sK6,X0),sK9(sK4,sK3,sK2,sK6,X0))
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_126081]) ).
tcf(c_144238,plain,
! [X0: $i,X1: $i] :
( ( sK15(sK2,sK4,X0) = X1 )
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK2,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_142486,c_2619,c_142486]) ).
tcf(c_183091,plain,
( sP0(sK4,sK3,sK2,sK6,sK5)
| apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5))
| apply(sK5,sK7(sK4,sK3,sK2,sK6,sK5),sK9(sK4,sK3,sK2,sK6,sK5))
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_143659]) ).
tcf(c_224559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X5,X1,X2)
| ~ member(X2,X4)
| ~ member(X1,X4)
| ~ sP0(X3,X4,X0,sK6,X5)
| ~ member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X3)
| ~ member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X3)
| ~ apply(X0,X2,sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ apply(X0,X1,sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ apply(sK6,sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_224699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X4,X1,X2)
| ~ member(X2,X3)
| ~ member(X1,X3)
| ~ sP0(sK4,X3,X0,sK6,X4)
| ~ member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ apply(X0,X2,sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ apply(X0,X1,sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ apply(sK6,sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_224559]) ).
tcf(c_224947,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X2,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X0)
| ~ member(X0,X1)
| ~ sP0(sK4,X1,sK2,sK6,X2)
| ~ member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ member(sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X1)
| ~ apply(sK2,X0,sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ apply(sK6,sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ apply(sK2,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_224699]) ).
tcf(c_225625,plain,
! [X0: $i,X1: $i] :
( apply(X1,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ sP0(sK4,X0,sK2,sK6,X1)
| ~ member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ member(sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X0)
| ~ member(sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X0)
| ~ apply(sK6,sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ apply(sK2,sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ apply(sK2,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_224947]) ).
tcf(c_226743,plain,
! [X0: $i] :
( apply(sK5,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ sP0(sK4,X0,sK2,sK6,sK5)
| ~ member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ member(sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X0)
| ~ member(sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X0)
| ~ apply(sK6,sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ apply(sK2,sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ apply(sK2,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_225625]) ).
tcf(c_226745,plain,
( apply(sK5,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ sP0(sK4,sK3,sK2,sK6,sK5)
| ~ member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ member(sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
| ~ member(sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
| ~ apply(sK6,sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ apply(sK2,sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ apply(sK2,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_226743]) ).
tcf(c_227839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X5,X1,X2)
| ~ member(X2,X4)
| ~ member(X1,X4)
| ~ sP0(X4,X3,X0,X5,sK5)
| ~ member(sK18(sK2,sK3,sK5,sK4,sK6),X3)
| ~ member(sK16(sK2,sK3,sK5,sK4,sK6),X3)
| ~ apply(X0,sK18(sK2,sK3,sK5,sK4,sK6),X2)
| ~ apply(X0,sK16(sK2,sK3,sK5,sK4,sK6),X1)
| ~ apply(sK5,sK16(sK2,sK3,sK5,sK4,sK6),sK18(sK2,sK3,sK5,sK4,sK6)) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_235668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X3,sK17(sK2,sK3,sK5,sK4,sK6),X0)
| ~ member(X0,X1)
| ~ sP0(X1,X2,sK2,X3,sK5)
| ~ member(sK18(sK2,sK3,sK5,sK4,sK6),X2)
| ~ member(sK16(sK2,sK3,sK5,sK4,sK6),X2)
| ~ member(sK17(sK2,sK3,sK5,sK4,sK6),X1)
| ~ apply(sK2,sK18(sK2,sK3,sK5,sK4,sK6),X0)
| ~ apply(sK5,sK16(sK2,sK3,sK5,sK4,sK6),sK18(sK2,sK3,sK5,sK4,sK6))
| ~ apply(sK2,sK16(sK2,sK3,sK5,sK4,sK6),sK17(sK2,sK3,sK5,sK4,sK6)) ),
inference(instantiation,[status(thm)],[c_227839]) ).
tcf(c_239773,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X2,sK17(sK2,sK3,sK5,sK4,sK6),X0)
| ~ member(X0,sK4)
| ~ sP0(sK4,X1,sK2,X2,sK5)
| ~ member(sK17(sK2,sK3,sK5,sK4,sK6),sK4)
| ~ member(sK18(sK2,sK3,sK5,sK4,sK6),X1)
| ~ member(sK16(sK2,sK3,sK5,sK4,sK6),X1)
| ~ apply(sK2,sK18(sK2,sK3,sK5,sK4,sK6),X0)
| ~ apply(sK5,sK16(sK2,sK3,sK5,sK4,sK6),sK18(sK2,sK3,sK5,sK4,sK6))
| ~ apply(sK2,sK16(sK2,sK3,sK5,sK4,sK6),sK17(sK2,sK3,sK5,sK4,sK6)) ),
inference(instantiation,[status(thm)],[c_235668]) ).
tcf(c_246876,plain,
! [X0: $i,X1: $i] :
( apply(X1,sK17(sK2,sK3,sK5,sK4,sK6),sK19(sK2,sK3,sK5,sK4,sK6))
| ~ sP0(sK4,X0,sK2,X1,sK5)
| ~ member(sK19(sK2,sK3,sK5,sK4,sK6),sK4)
| ~ member(sK17(sK2,sK3,sK5,sK4,sK6),sK4)
| ~ member(sK18(sK2,sK3,sK5,sK4,sK6),X0)
| ~ member(sK16(sK2,sK3,sK5,sK4,sK6),X0)
| ~ apply(sK5,sK16(sK2,sK3,sK5,sK4,sK6),sK18(sK2,sK3,sK5,sK4,sK6))
| ~ apply(sK2,sK18(sK2,sK3,sK5,sK4,sK6),sK19(sK2,sK3,sK5,sK4,sK6))
| ~ apply(sK2,sK16(sK2,sK3,sK5,sK4,sK6),sK17(sK2,sK3,sK5,sK4,sK6)) ),
inference(instantiation,[status(thm)],[c_239773]) ).
tcf(c_254279,plain,
( apply(sK6,sK17(sK2,sK3,sK5,sK4,sK6),sK19(sK2,sK3,sK5,sK4,sK6))
| ~ sP0(sK4,sK3,sK2,sK6,sK5)
| ~ member(sK18(sK2,sK3,sK5,sK4,sK6),sK3)
| ~ member(sK16(sK2,sK3,sK5,sK4,sK6),sK3)
| ~ member(sK19(sK2,sK3,sK5,sK4,sK6),sK4)
| ~ member(sK17(sK2,sK3,sK5,sK4,sK6),sK4)
| ~ apply(sK5,sK16(sK2,sK3,sK5,sK4,sK6),sK18(sK2,sK3,sK5,sK4,sK6))
| ~ apply(sK2,sK18(sK2,sK3,sK5,sK4,sK6),sK19(sK2,sK3,sK5,sK4,sK6))
| ~ apply(sK2,sK16(sK2,sK3,sK5,sK4,sK6),sK17(sK2,sK3,sK5,sK4,sK6)) ),
inference(instantiation,[status(thm)],[c_246876]) ).
tcf(c_257795,plain,
( ~ sP0(sK4,sK3,sK2,sK6,sK5)
| ~ increasing(sK2,sK3,sK5,sK4,sK6) ),
inference(global_subsumption_just,[status(thm)],[c_222995,c_868,c_9288,c_9311,c_9430,c_9431,c_9434,c_9435,c_9436,c_9437,c_29307,c_29447,c_226745]) ).
tcf(c_257810,plain,
( ( sK24(inverse_function(sK2,sK3,sK4),sK4,sK24(sK2,sK3,sK19(sK2,sK3,sK5,sK4,sK6))) = sK15(sK2,sK4,sK24(sK2,sK3,sK19(sK2,sK3,sK5,sK4,sK6))) )
| ~ sP0(sK4,sK3,sK2,sK6,sK5) ),
inference(superposition,[status(thm)],[c_132042,c_257795]) ).
tcf(c_274238,plain,
~ sP0(sK4,sK3,sK2,sK6,sK5),
inference(global_subsumption_just,[status(thm)],[c_257810,c_227190,c_227189,c_227188,c_227187,c_227186,c_227185,c_227191,c_254279,c_257795,c_273807]) ).
tcf(c_274295,plain,
( ( sK15(sK2,sK4,sK24(sK2,sK3,sK10(sK4,sK3,sK2,sK6,sK5))) = sK10(sK4,sK3,sK2,sK6,sK5) )
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4) ),
inference(superposition,[status(thm)],[c_125936,c_274238]) ).
tcf(c_274296,plain,
( ( sK15(sK2,sK4,sK24(sK2,sK3,sK8(sK4,sK3,sK2,sK6,sK5))) = sK8(sK4,sK3,sK2,sK6,sK5) )
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4) ),
inference(superposition,[status(thm)],[c_125934,c_274238]) ).
tcf(c_274299,plain,
( ( sK24(inverse_function(sK2,sK3,sK4),sK4,sK9(sK4,sK3,sK2,sK6,sK5)) = sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5)) )
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4) ),
inference(superposition,[status(thm)],[c_131853,c_274238]) ).
tcf(c_274300,plain,
( ( sK24(inverse_function(sK2,sK3,sK4),sK4,sK7(sK4,sK3,sK2,sK6,sK5)) = sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5)) )
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4) ),
inference(superposition,[status(thm)],[c_131851,c_274238]) ).
tcf(c_274309,plain,
sK15(sK2,sK4,sK24(sK2,sK3,sK8(sK4,sK3,sK2,sK6,sK5))) = sK8(sK4,sK3,sK2,sK6,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_274296,c_53,c_52]) ).
tcf(c_274310,plain,
sK15(sK2,sK4,sK24(sK2,sK3,sK10(sK4,sK3,sK2,sK6,sK5))) = sK10(sK4,sK3,sK2,sK6,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_274295,c_53,c_52]) ).
tcf(c_274311,plain,
sK24(inverse_function(sK2,sK3,sK4),sK4,sK7(sK4,sK3,sK2,sK6,sK5)) = sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_274300,c_53,c_52]) ).
tcf(c_274312,plain,
sK24(inverse_function(sK2,sK3,sK4),sK4,sK9(sK4,sK3,sK2,sK6,sK5)) = sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_274299,c_53,c_52]) ).
tcf(c_274963,plain,
( apply(sK2,sK24(sK2,sK3,sK8(sK4,sK3,sK2,sK6,sK5)),sK8(sK4,sK3,sK2,sK6,sK5))
| ~ member(sK24(sK2,sK3,sK8(sK4,sK3,sK2,sK6,sK5)),sK3) ),
inference(superposition,[status(thm)],[c_274309,c_125186]) ).
tcf(c_275133,plain,
( apply(sK2,sK24(sK2,sK3,sK10(sK4,sK3,sK2,sK6,sK5)),sK10(sK4,sK3,sK2,sK6,sK5))
| ~ member(sK24(sK2,sK3,sK10(sK4,sK3,sK2,sK6,sK5)),sK3) ),
inference(superposition,[status(thm)],[c_274310,c_125186]) ).
tcf(c_275321,plain,
( member(sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5)),sK4)
| ~ member(sK7(sK4,sK3,sK2,sK6,sK5),sK3) ),
inference(superposition,[status(thm)],[c_274311,c_126799]) ).
tcf(c_275482,plain,
( member(sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5)),sK4)
| ~ member(sK9(sK4,sK3,sK2,sK6,sK5),sK3) ),
inference(superposition,[status(thm)],[c_274312,c_126799]) ).
tcf(c_279011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK15(sK2,sK4,X0) = X2 )
| ~ member(X0,sK3)
| ~ member(X2,X1)
| ~ member(X0,X3)
| ~ sP1(sK2,X3,X1)
| ~ apply(sK2,X0,X2)
| ~ member(sK15(sK2,sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_278922,c_74]) ).
tcf(c_279024,plain,
increasing(sK2,sK3,sK5,sK4,sK6),
inference(global_subsumption_just,[status(thm)],[c_860,c_860,c_227190,c_227189,c_227188,c_227187,c_227186,c_227185,c_227191,c_254279,c_257795,c_273807]) ).
tcf(c_279161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK6,X1,X3)
| ~ member(X3,sK4)
| ~ member(X2,sK3)
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK5,X0,X2)
| ~ apply(sK2,X2,X3)
| ~ apply(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_279024,c_93]) ).
tcf(c_279362,plain,
increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),
inference(global_subsumption_just,[status(thm)],[c_852,c_852,c_227190,c_227189,c_227188,c_227187,c_227186,c_227185,c_227191,c_254279,c_257795,c_273807]) ).
tcf(c_279364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK5,X1,X3)
| ~ member(X3,sK3)
| ~ member(X2,sK4)
| ~ member(X1,sK3)
| ~ member(X0,sK4)
| ~ apply(sK6,X0,X2)
| ~ apply(inverse_function(sK2,sK3,sK4),X2,X3)
| ~ apply(inverse_function(sK2,sK3,sK4),X0,X1) ),
inference(superposition,[status(thm)],[c_279362,c_93]) ).
tcf(c_279373,plain,
~ sP0(sK4,sK3,sK2,sK6,sK5),
inference(global_subsumption_just,[status(thm)],[c_868,c_274238]) ).
tcf(c_279921,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK6,sK15(sK2,sK4,X0),X2)
| ~ member(X2,sK4)
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ apply(sK5,X0,X1)
| ~ apply(sK2,X1,X2)
| ~ member(sK15(sK2,sK4,X0),sK4) ),
inference(superposition,[status(thm)],[c_278922,c_279161]) ).
tcf(c_280127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK15(sK2,sK4,X0) = X1 )
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ member(X0,X2)
| ~ sP1(sK2,X2,sK4)
| ~ apply(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_278905,c_279011]) ).
tcf(c_280331,plain,
! [X0: $i,X1: $i] :
( ( sK15(sK2,sK4,X0) = X1 )
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK2,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_280127,c_144238]) ).
tcf(c_280343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,X1,sK2,X2,X3)
| ( sK15(sK2,sK4,sK7(X0,X1,sK2,X2,X3)) = sK8(X0,X1,sK2,X2,X3) )
| ~ one_to_one(sK2,X1,X0)
| ~ maps(sK2,X1,X0)
| ~ member(sK7(X0,X1,sK2,X2,X3),sK3)
| ~ member(sK8(X0,X1,sK2,X2,X3),sK4) ),
inference(superposition,[status(thm)],[c_60,c_280331]) ).
tcf(c_280344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,X1,sK2,X2,X3)
| ( sK15(sK2,sK4,sK9(X0,X1,sK2,X2,X3)) = sK10(X0,X1,sK2,X2,X3) )
| ~ one_to_one(sK2,X1,X0)
| ~ maps(sK2,X1,X0)
| ~ member(sK9(X0,X1,sK2,X2,X3),sK3)
| ~ member(sK10(X0,X1,sK2,X2,X3),sK4) ),
inference(superposition,[status(thm)],[c_61,c_280331]) ).
tcf(c_280353,plain,
! [X0: $i] :
( ( sK15(sK2,sK4,sK24(sK2,sK3,X0)) = X0 )
| ~ member(X0,sK4)
| ~ member(sK24(sK2,sK3,X0),sK3) ),
inference(superposition,[status(thm)],[c_279335,c_280331]) ).
tcf(c_280520,plain,
! [X0: $i] :
( ( sK15(sK2,sK4,sK24(sK2,sK3,X0)) = X0 )
| ~ member(X0,sK4) ),
inference(global_subsumption_just,[status(thm)],[c_280353,c_9450]) ).
tcf(c_280527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sK4,X1,X0,X2,X3)
| ( sK15(sK2,sK4,sK24(sK2,sK3,sK8(sK4,X1,X0,X2,X3))) = sK8(sK4,X1,X0,X2,X3) )
| ~ one_to_one(X0,X1,sK4)
| ~ maps(X0,X1,sK4) ),
inference(superposition,[status(thm)],[c_57,c_280520]) ).
tcf(c_280529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sK4,X1,X0,X2,X3)
| ( sK15(sK2,sK4,sK24(sK2,sK3,sK10(sK4,X1,X0,X2,X3))) = sK10(sK4,X1,X0,X2,X3) )
| ~ one_to_one(X0,X1,sK4)
| ~ maps(X0,X1,sK4) ),
inference(superposition,[status(thm)],[c_59,c_280520]) ).
tcf(c_280542,plain,
! [X0: $i] :
( ( sK15(sK2,sK4,sK24(sK2,sK3,sK15(sK2,sK4,X0))) = sK15(sK2,sK4,X0) )
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_278905,c_280520]) ).
tcf(c_281571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X1,sK3,X0,X2,X3)
| ( sK15(sK2,sK4,sK24(sK2,sK3,sK15(sK2,sK4,sK7(X1,sK3,X0,X2,X3)))) = sK15(sK2,sK4,sK7(X1,sK3,X0,X2,X3)) )
| ~ one_to_one(X0,sK3,X1)
| ~ maps(X0,sK3,X1) ),
inference(superposition,[status(thm)],[c_56,c_280542]) ).
tcf(c_281573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X1,sK3,X0,X2,X3)
| ( sK15(sK2,sK4,sK24(sK2,sK3,sK15(sK2,sK4,sK9(X1,sK3,X0,X2,X3)))) = sK15(sK2,sK4,sK9(X1,sK3,X0,X2,X3)) )
| ~ one_to_one(X0,sK3,X1)
| ~ maps(X0,sK3,X1) ),
inference(superposition,[status(thm)],[c_58,c_280542]) ).
tcf(c_283147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK5,X2,X1)
| ~ member(X3,sK4)
| ~ member(X2,sK3)
| ~ member(X1,sK3)
| ~ member(X0,sK4)
| ~ apply(sK6,X3,X0)
| ~ apply(sK2,X2,X3)
| ~ apply(inverse_function(sK2,sK3,sK4),X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_279364]) ).
tcf(c_285556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,X1,sK2,X2,X3)
| ( sK24(sK2,sK3,sK8(X0,X1,sK2,X2,X3)) = sK7(X0,X1,sK2,X2,X3) )
| ~ one_to_one(sK2,X1,X0)
| ~ maps(sK2,X1,X0)
| ~ member(sK7(X0,X1,sK2,X2,X3),sK3)
| ~ member(sK8(X0,X1,sK2,X2,X3),sK4) ),
inference(superposition,[status(thm)],[c_60,c_285544]) ).
tcf(c_285557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,X1,sK2,X2,X3)
| ( sK24(sK2,sK3,sK10(X0,X1,sK2,X2,X3)) = sK9(X0,X1,sK2,X2,X3) )
| ~ one_to_one(sK2,X1,X0)
| ~ maps(sK2,X1,X0)
| ~ member(sK9(X0,X1,sK2,X2,X3),sK3)
| ~ member(sK10(X0,X1,sK2,X2,X3),sK4) ),
inference(superposition,[status(thm)],[c_61,c_285544]) ).
tcf(c_286243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X1,sK3,X0,X2,X3)
| ( sK24(sK2,sK3,sK15(sK2,sK4,sK7(X1,sK3,X0,X2,X3))) = sK7(X1,sK3,X0,X2,X3) )
| ~ one_to_one(X0,sK3,X1)
| ~ maps(X0,sK3,X1) ),
inference(superposition,[status(thm)],[c_56,c_286237]) ).
tcf(c_286245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X1,sK3,X0,X2,X3)
| ( sK24(sK2,sK3,sK15(sK2,sK4,sK9(X1,sK3,X0,X2,X3))) = sK9(X1,sK3,X0,X2,X3) )
| ~ one_to_one(X0,sK3,X1)
| ~ maps(X0,sK3,X1) ),
inference(superposition,[status(thm)],[c_58,c_286237]) ).
tcf(c_290661,plain,
( ( sK15(sK2,sK4,sK24(sK2,sK3,sK8(sK4,sK3,sK2,sK6,sK5))) = sK8(sK4,sK3,sK2,sK6,sK5) )
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4) ),
inference(superposition,[status(thm)],[c_280527,c_279373]) ).
tcf(c_290662,plain,
sK15(sK2,sK4,sK24(sK2,sK3,sK8(sK4,sK3,sK2,sK6,sK5))) = sK8(sK4,sK3,sK2,sK6,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_290661,c_53,c_52]) ).
tcf(c_290782,plain,
( ( sK15(sK2,sK4,sK24(sK2,sK3,sK10(sK4,sK3,sK2,sK6,sK5))) = sK10(sK4,sK3,sK2,sK6,sK5) )
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4) ),
inference(superposition,[status(thm)],[c_280529,c_279373]) ).
tcf(c_290783,plain,
sK15(sK2,sK4,sK24(sK2,sK3,sK10(sK4,sK3,sK2,sK6,sK5))) = sK10(sK4,sK3,sK2,sK6,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_290782,c_53,c_52]) ).
tcf(c_290807,plain,
( apply(sK2,sK24(sK2,sK3,sK8(sK4,sK3,sK2,sK6,sK5)),sK8(sK4,sK3,sK2,sK6,sK5))
| ~ member(sK24(sK2,sK3,sK8(sK4,sK3,sK2,sK6,sK5)),sK3) ),
inference(superposition,[status(thm)],[c_290662,c_278922]) ).
tcf(c_290808,plain,
( member(sK8(sK4,sK3,sK2,sK6,sK5),sK4)
| ~ member(sK24(sK2,sK3,sK8(sK4,sK3,sK2,sK6,sK5)),sK3) ),
inference(superposition,[status(thm)],[c_290662,c_278905]) ).
tcf(c_290881,plain,
( apply(sK2,sK24(sK2,sK3,sK10(sK4,sK3,sK2,sK6,sK5)),sK10(sK4,sK3,sK2,sK6,sK5))
| ~ member(sK24(sK2,sK3,sK10(sK4,sK3,sK2,sK6,sK5)),sK3) ),
inference(superposition,[status(thm)],[c_290783,c_278922]) ).
tcf(c_290882,plain,
( member(sK10(sK4,sK3,sK2,sK6,sK5),sK4)
| ~ member(sK24(sK2,sK3,sK10(sK4,sK3,sK2,sK6,sK5)),sK3) ),
inference(superposition,[status(thm)],[c_290783,c_278905]) ).
tcf(c_291274,plain,
member(sK8(sK4,sK3,sK2,sK6,sK5),sK4),
inference(global_subsumption_just,[status(thm)],[c_290808,c_852,c_860,c_3859,c_227190,c_227189,c_227188,c_227187,c_227186,c_227185,c_227191,c_254279,c_257795,c_273807]) ).
tcf(c_291281,plain,
member(sK10(sK4,sK3,sK2,sK6,sK5),sK4),
inference(global_subsumption_just,[status(thm)],[c_290882,c_852,c_860,c_3833,c_227190,c_227189,c_227188,c_227187,c_227186,c_227185,c_227191,c_254279,c_257795,c_273807]) ).
tcf(c_292921,plain,
apply(sK2,sK24(sK2,sK3,sK8(sK4,sK3,sK2,sK6,sK5)),sK8(sK4,sK3,sK2,sK6,sK5)),
inference(global_subsumption_just,[status(thm)],[c_290807,c_852,c_860,c_1904,c_3859,c_274238,c_274963,c_280908]) ).
tcf(c_292956,plain,
apply(sK2,sK24(sK2,sK3,sK10(sK4,sK3,sK2,sK6,sK5)),sK10(sK4,sK3,sK2,sK6,sK5)),
inference(global_subsumption_just,[status(thm)],[c_290881,c_852,c_860,c_1904,c_3833,c_227190,c_227189,c_227188,c_227187,c_227186,c_227185,c_227191,c_254279,c_257795,c_273807,c_275133,c_280907]) ).
tcf(c_294209,plain,
( ( sK15(sK2,sK4,sK24(sK2,sK3,sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5)))) = sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5)) )
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4) ),
inference(superposition,[status(thm)],[c_281571,c_279373]) ).
tcf(c_294210,plain,
sK15(sK2,sK4,sK24(sK2,sK3,sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5)))) = sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_294209,c_53,c_52]) ).
tcf(c_294269,plain,
( member(sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5)),sK4)
| ~ member(sK24(sK2,sK3,sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5))),sK3) ),
inference(superposition,[status(thm)],[c_294210,c_278905]) ).
tcf(c_294370,plain,
member(sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5)),sK4),
inference(global_subsumption_just,[status(thm)],[c_294269,c_53,c_52,c_852,c_860,c_3871,c_227190,c_227189,c_227188,c_227187,c_227186,c_227185,c_227191,c_254279,c_257795,c_273807,c_275321]) ).
tcf(c_294402,plain,
( ( sK15(sK2,sK4,sK24(sK2,sK3,sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5)))) = sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5)) )
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4) ),
inference(superposition,[status(thm)],[c_281573,c_279373]) ).
tcf(c_294403,plain,
sK15(sK2,sK4,sK24(sK2,sK3,sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5)))) = sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_294402,c_53,c_52]) ).
tcf(c_294594,plain,
( member(sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5)),sK4)
| ~ member(sK24(sK2,sK3,sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5))),sK3) ),
inference(superposition,[status(thm)],[c_294403,c_278905]) ).
tcf(c_294643,plain,
member(sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5)),sK4),
inference(global_subsumption_just,[status(thm)],[c_294594,c_852,c_860,c_3846,c_227190,c_227189,c_227188,c_227187,c_227186,c_227185,c_227191,c_254279,c_257795,c_273807,c_275482]) ).
tcf(c_302272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK5,X2,X0)
| ~ member(X3,sK4)
| ~ member(X2,sK3)
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK6,X3,X1)
| ~ apply(sK2,X2,X3)
| ~ apply(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_283147]) ).
tcf(c_309612,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK6,sK15(sK2,sK4,X0),X2)
| ~ member(X2,sK4)
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ apply(sK5,X0,X1)
| ~ apply(sK2,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_279921,c_2619,c_9731]) ).
tcf(c_309613,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK6,sK15(sK2,sK4,X2),X1)
| ~ member(X2,sK3)
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ apply(sK5,X2,X0)
| ~ apply(sK2,X0,X1) ),
inference(renaming,[status(thm)],[c_309612]) ).
tcf(c_309637,plain,
! [X0: $i,X1: $i] :
( apply(sK6,sK15(sK2,sK4,X1),sK15(sK2,sK4,X0))
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ apply(sK5,X1,X0)
| ~ member(sK15(sK2,sK4,X0),sK4) ),
inference(superposition,[status(thm)],[c_278922,c_309613]) ).
tcf(c_312199,plain,
! [X0: $i,X1: $i] :
( apply(sK6,sK15(sK2,sK4,X1),sK15(sK2,sK4,X0))
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ apply(sK5,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_309637,c_2619,c_9903]) ).
tcf(c_312200,plain,
! [X0: $i,X1: $i] :
( apply(sK6,sK15(sK2,sK4,X0),sK15(sK2,sK4,X1))
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ apply(sK5,X0,X1) ),
inference(renaming,[status(thm)],[c_312199]) ).
tcf(c_313924,plain,
( ( sK24(sK2,sK3,sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5))) = sK7(sK4,sK3,sK2,sK6,sK5) )
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4) ),
inference(superposition,[status(thm)],[c_286243,c_279373]) ).
tcf(c_313925,plain,
sK24(sK2,sK3,sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5))) = sK7(sK4,sK3,sK2,sK6,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_313924,c_53,c_52]) ).
tcf(c_314012,plain,
( member(sK7(sK4,sK3,sK2,sK6,sK5),sK3)
| ~ member(sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5)),sK4) ),
inference(superposition,[status(thm)],[c_313925,c_279180]) ).
tcf(c_314024,plain,
member(sK7(sK4,sK3,sK2,sK6,sK5),sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_314012,c_294370]) ).
tcf(c_314132,plain,
( sP0(sK4,sK3,sK2,sK6,sK5)
| ( sK24(sK2,sK3,sK8(sK4,sK3,sK2,sK6,sK5)) = sK7(sK4,sK3,sK2,sK6,sK5) )
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4)
| ~ member(sK8(sK4,sK3,sK2,sK6,sK5),sK4) ),
inference(superposition,[status(thm)],[c_314024,c_285556]) ).
tcf(c_314133,plain,
( sP0(sK4,sK3,sK2,sK6,sK5)
| ( sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5)) = sK8(sK4,sK3,sK2,sK6,sK5) )
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4)
| ~ member(sK8(sK4,sK3,sK2,sK6,sK5),sK4) ),
inference(superposition,[status(thm)],[c_314024,c_280343]) ).
tcf(c_314134,plain,
sK15(sK2,sK4,sK7(sK4,sK3,sK2,sK6,sK5)) = sK8(sK4,sK3,sK2,sK6,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_314133,c_279373,c_53,c_52,c_291274]) ).
tcf(c_314135,plain,
sK24(sK2,sK3,sK8(sK4,sK3,sK2,sK6,sK5)) = sK7(sK4,sK3,sK2,sK6,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_314132,c_279373,c_53,c_52,c_291274]) ).
tcf(c_314138,plain,
apply(sK2,sK7(sK4,sK3,sK2,sK6,sK5),sK8(sK4,sK3,sK2,sK6,sK5)),
inference(demodulation,[status(thm)],[c_292921,c_314135]) ).
tcf(c_314153,plain,
( ( sK24(sK2,sK3,sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5))) = sK9(sK4,sK3,sK2,sK6,sK5) )
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4) ),
inference(superposition,[status(thm)],[c_286245,c_279373]) ).
tcf(c_314154,plain,
sK24(sK2,sK3,sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5))) = sK9(sK4,sK3,sK2,sK6,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_314153,c_53,c_52]) ).
tcf(c_314790,plain,
! [X0: $i] :
( apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),sK15(sK2,sK4,X0))
| ~ member(X0,sK3)
| ~ member(sK7(sK4,sK3,sK2,sK6,sK5),sK3)
| ~ apply(sK5,sK7(sK4,sK3,sK2,sK6,sK5),X0) ),
inference(superposition,[status(thm)],[c_314134,c_312200]) ).
tcf(c_314797,plain,
! [X0: $i] :
( apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),sK15(sK2,sK4,X0))
| ~ member(X0,sK3)
| ~ apply(sK5,sK7(sK4,sK3,sK2,sK6,sK5),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_314790,c_314024]) ).
tcf(c_316065,plain,
( member(sK9(sK4,sK3,sK2,sK6,sK5),sK3)
| ~ member(sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5)),sK4) ),
inference(superposition,[status(thm)],[c_314154,c_279180]) ).
tcf(c_316077,plain,
member(sK9(sK4,sK3,sK2,sK6,sK5),sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_316065,c_294643]) ).
tcf(c_316236,plain,
( sP0(sK4,sK3,sK2,sK6,sK5)
| ( sK24(sK2,sK3,sK10(sK4,sK3,sK2,sK6,sK5)) = sK9(sK4,sK3,sK2,sK6,sK5) )
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4)
| ~ member(sK10(sK4,sK3,sK2,sK6,sK5),sK4) ),
inference(superposition,[status(thm)],[c_316077,c_285557]) ).
tcf(c_316237,plain,
( sP0(sK4,sK3,sK2,sK6,sK5)
| ( sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5)) = sK10(sK4,sK3,sK2,sK6,sK5) )
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4)
| ~ member(sK10(sK4,sK3,sK2,sK6,sK5),sK4) ),
inference(superposition,[status(thm)],[c_316077,c_280344]) ).
tcf(c_316238,plain,
sK15(sK2,sK4,sK9(sK4,sK3,sK2,sK6,sK5)) = sK10(sK4,sK3,sK2,sK6,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_316237,c_279373,c_53,c_52,c_291281]) ).
tcf(c_316239,plain,
sK24(sK2,sK3,sK10(sK4,sK3,sK2,sK6,sK5)) = sK9(sK4,sK3,sK2,sK6,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_316236,c_279373,c_53,c_52,c_291281]) ).
tcf(c_316242,plain,
apply(sK2,sK9(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5)),
inference(demodulation,[status(thm)],[c_292956,c_316239]) ).
tcf(c_317363,plain,
! [X0: $i,X1: $i] :
( apply(sK5,X1,sK9(sK4,sK3,sK2,sK6,sK5))
| ~ member(X1,sK3)
| ~ member(X0,sK4)
| ~ apply(sK2,X1,X0)
| ~ member(sK9(sK4,sK3,sK2,sK6,sK5),sK3)
| ~ member(sK10(sK4,sK3,sK2,sK6,sK5),sK4)
| ~ apply(sK6,X0,sK10(sK4,sK3,sK2,sK6,sK5)) ),
inference(superposition,[status(thm)],[c_316242,c_302272]) ).
tcf(c_317391,plain,
! [X0: $i,X1: $i] :
( apply(sK5,X1,sK9(sK4,sK3,sK2,sK6,sK5))
| ~ member(X1,sK3)
| ~ member(X0,sK4)
| ~ apply(sK2,X1,X0)
| ~ apply(sK6,X0,sK10(sK4,sK3,sK2,sK6,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_317363,c_316077,c_291281]) ).
tcf(c_321938,plain,
( apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5))
| ~ member(sK9(sK4,sK3,sK2,sK6,sK5),sK3)
| ~ apply(sK5,sK7(sK4,sK3,sK2,sK6,sK5),sK9(sK4,sK3,sK2,sK6,sK5)) ),
inference(superposition,[status(thm)],[c_316238,c_314797]) ).
tcf(c_321947,plain,
( apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK5,sK7(sK4,sK3,sK2,sK6,sK5),sK9(sK4,sK3,sK2,sK6,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_321938,c_316077]) ).
tcf(c_329303,plain,
apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5)),
inference(global_subsumption_just,[status(thm)],[c_321947,c_53,c_52,c_183091,c_227190,c_227189,c_227188,c_227187,c_227186,c_227185,c_227191,c_254279,c_257795,c_273807,c_321947]) ).
tcf(c_329305,plain,
( sP0(sK4,sK3,sK2,sK6,sK5)
| ~ one_to_one(sK2,sK3,sK4)
| ~ maps(sK2,sK3,sK4)
| ~ apply(sK5,sK7(sK4,sK3,sK2,sK6,sK5),sK9(sK4,sK3,sK2,sK6,sK5)) ),
inference(superposition,[status(thm)],[c_329303,c_54]) ).
tcf(c_329317,plain,
~ apply(sK5,sK7(sK4,sK3,sK2,sK6,sK5),sK9(sK4,sK3,sK2,sK6,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_329305,c_279373,c_53,c_52]) ).
tcf(c_347903,plain,
! [X0: $i] :
( apply(sK5,X0,sK9(sK4,sK3,sK2,sK6,sK5))
| ~ member(X0,sK3)
| ~ member(sK8(sK4,sK3,sK2,sK6,sK5),sK4)
| ~ apply(sK2,X0,sK8(sK4,sK3,sK2,sK6,sK5)) ),
inference(superposition,[status(thm)],[c_329303,c_317391]) ).
tcf(c_347912,plain,
! [X0: $i] :
( apply(sK5,X0,sK9(sK4,sK3,sK2,sK6,sK5))
| ~ member(X0,sK3)
| ~ apply(sK2,X0,sK8(sK4,sK3,sK2,sK6,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_347903,c_291274]) ).
tcf(c_353383,plain,
( apply(sK5,sK7(sK4,sK3,sK2,sK6,sK5),sK9(sK4,sK3,sK2,sK6,sK5))
| ~ member(sK7(sK4,sK3,sK2,sK6,sK5),sK3) ),
inference(superposition,[status(thm)],[c_314138,c_347912]) ).
tcf(c_353389,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_353383,c_329317,c_314024]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET750+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n016.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Thu Sep 24 11:55:47 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.41 Running first-order theorem proving
% 0.13/5.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/5.42
% 0.13/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42
% 0.13/5.42 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 130.93/38.58 % SZS status Started for theBenchmark.p
% 130.93/38.58 % SZS status Theorem for theBenchmark.p
% 130.93/38.58
% 130.93/38.58 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 130.93/38.58
% 130.93/38.58 % ------ iProver source info
% 130.93/38.58
% 130.93/38.58 % git: date: 2026-07-19 20:42:38 +0200
% 130.93/38.58 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 130.93/38.58 % git: non_committed_changes: false
% 130.93/38.58
% 130.93/38.58 % ------ Parsing...
% 130.93/38.58 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 130.93/38.58
% 130.93/38.58 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 130.93/38.58
% 130.93/38.58 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 130.93/38.58
% 130.93/38.58 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 130.93/38.58 % ------ Proving...
% 130.93/38.58 % ------ Problem Properties
% 130.93/38.58
% 130.93/38.58 %
% 130.93/38.58 % clauses 54
% 130.93/38.58 % conjectures 2
% 130.93/38.58 % EPR 14
% 130.93/38.58 % Horn 26
% 130.93/38.58 % unary 2
% 130.93/38.58 % binary 28
% 130.93/38.58 % lits 169
% 130.93/38.58 % lits eq 4
% 130.93/38.58 % fd_pure 0
% 130.93/38.58 % fd_pseudo 0
% 130.93/38.58 % fd_cond 0
% 130.93/38.58 % fd_pseudo_cond 2
% 130.93/38.58 % AC symbols 0
% 130.93/38.58
% 130.93/38.58 % ------ Schedule dynamic 5 is on
% 130.93/38.58
% 130.93/38.58 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 130.93/38.58
% 130.93/38.58
% 130.93/38.58 % ------
% 130.93/38.58 % Current options:
% 130.93/38.58 % ------
% 130.93/38.58
% 130.93/38.58
% 130.93/38.58 %
% 130.93/38.58
% 130.93/38.58 % ------ Proving...
% 130.93/38.58 % Proof_search_loop: time out after: 3441 full_loop iterations
% 130.93/38.58
% 130.93/38.58 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 130.93/38.58
% 130.93/38.58
% 130.93/38.58 % ------
% 130.93/38.58 % Current options:
% 130.93/38.58 % ------
% 130.93/38.58
% 130.93/38.58
% 130.93/38.58 %
% 130.93/38.58
% 130.93/38.58 % ------ Proving...
% 130.93/38.58 % Proof_search_loop: time out after: 7731 full_loop iterations
% 130.93/38.58
% 130.93/38.58 % ------ Option_1: Negative Selections Time Limit: 35.
% 130.93/38.58
% 130.93/38.58
% 130.93/38.58 % ------
% 130.93/38.58 % Current options:
% 130.93/38.58 % ------
% 130.93/38.58
% 130.93/38.58
% 130.93/38.58 %
% 130.93/38.58
% 130.93/38.58 % ------ Proving...
% 130.93/38.58 %
% 130.93/38.58
% 130.93/38.58 % SZS status Theorem for theBenchmark.p
% 130.93/38.58
% 130.93/38.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 130.93/38.59
% 130.93/38.59
%------------------------------------------------------------------------------