%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET719+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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:47:57 PM UTC 2026
% Result : Theorem 51.24s 8.49s
% Output : CNFRefutation 51.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 8
% Syntax : Number of formulae : 182 ( 38 unt; 0 def)
% Number of atoms : 652 ( 109 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 799 ( 329 ~; 339 |; 91 &)
% ( 12 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 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 : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-5 aty)
% Number of variables : 543 ( 0 sgn 514 !; 29 ?; 238 :)
% 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(f14,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( member(X6,X4)
& member(X5,X2) )
=> ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',compose_function) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( equal_maps(X0,X1,X2,X3)
<=> ! [X4,X5,X6] :
( ( member(X6,X3)
& member(X5,X3)
& member(X4,X2) )
=> ( ( apply(X1,X4,X6)
& apply(X0,X4,X5) )
=> X5 = X6 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',equal_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(f29,conjecture,
! [X0,X1,X2,X3,X4] :
( ( one_to_one(X1,X3,X4)
& one_to_one(X0,X2,X3)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> equal_maps(inverse_function(compose_function(X1,X0,X2,X3,X4),X2,X4),compose_function(inverse_function(X0,X2,X3),inverse_function(X1,X3,X4),X4,X3,X2),X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII10) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( one_to_one(X1,X3,X4)
& one_to_one(X0,X2,X3)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> equal_maps(inverse_function(compose_function(X1,X0,X2,X3,X4),X2,X4),compose_function(inverse_function(X0,X2,X3),inverse_function(X1,X3,X4),X4,X3,X2),X4,X2) ),
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] :
( 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(unused_predicate_definition_removal,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
=> ( surjective(X0,X1,X2)
& injective(X0,X1,X2) ) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f34,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(unused_predicate_definition_removal,[],[f17]) ).
fof(f35,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5,X6] :
( ( member(X6,X3)
& member(X5,X3)
& member(X4,X2) )
=> ( ( apply(X1,X4,X6)
& apply(X0,X4,X5) )
=> X5 = X6 ) )
=> equal_maps(X0,X1,X2,X3) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f39,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,[],[f32]) ).
fof(f40,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,[],[f39]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X6,X4)
| ~ member(X5,X2)
| ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X6,X4)
| ~ member(X5,X2)
| ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) ) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6] :
( member(X6,X3)
& member(X5,X3)
& member(X4,X2)
& apply(X1,X4,X6)
& apply(X0,X4,X5)
& X5 != X6 )
| equal_maps(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f36]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6] :
( member(X6,X3)
& member(X5,X3)
& member(X4,X2)
& apply(X1,X4,X6)
& apply(X0,X4,X5)
& X5 != X6 )
| equal_maps(X0,X1,X2,X3) ),
inference(flattening,[],[f43]) ).
fof(f45,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,[],[f34]) ).
fof(f46,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,[],[f45]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ surjective(X0,X1,X2)
| ! [X3] :
( ~ member(X3,X2)
| ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ~ one_to_one(X0,X1,X2)
| ( surjective(X0,X1,X2)
& injective(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f49,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(f50,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,[],[f49]) ).
fof(f51,plain,
? [X0,X1,X2,X3,X4] :
( one_to_one(X1,X3,X4)
& one_to_one(X0,X2,X3)
& maps(X1,X3,X4)
& maps(X0,X2,X3)
& ~ equal_maps(inverse_function(compose_function(X1,X0,X2,X3,X4),X2,X4),compose_function(inverse_function(X0,X2,X3),inverse_function(X1,X3,X4),X4,X3,X2),X4,X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f52,plain,
? [X0,X1,X2,X3,X4] :
( one_to_one(X1,X3,X4)
& one_to_one(X0,X2,X3)
& maps(X1,X3,X4)
& maps(X0,X2,X3)
& ~ equal_maps(inverse_function(compose_function(X1,X0,X2,X3,X4),X2,X4),compose_function(inverse_function(X0,X2,X3),inverse_function(X1,X3,X4),X4,X3,X2),X4,X2) ),
inference(flattening,[],[f51]) ).
fof(f72,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)
| ( apply(X0,X3,sK3(X0,X2,X3))
& member(sK3(X0,X2,X3),X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X4,sK3(X0,X2,X3))],[f40]) ).
fof(f73,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X6,X4)
| ~ member(X5,X2)
| ( ( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) )
& ( ! [X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3) )
| apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f74,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X6,X4)
| ~ member(X5,X2)
| ( ( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ? [X8] :
( apply(X0,X8,X6)
& apply(X1,X5,X8)
& member(X8,X3) ) )
& ( ! [X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3) )
| apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) ) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X6,X4)
| ~ member(X5,X2)
| ( ( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ( apply(X0,sK4(X0,X1,X3,X5,X6),X6)
& apply(X1,X5,sK4(X0,X1,X3,X5,X6))
& member(sK4(X0,X1,X3,X5,X6),X3) ) )
& ( ! [X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3) )
| apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X8,sK4(X0,X1,X3,X5,X6))],[f74]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ( member(sK7(X0,X1,X2,X3),X3)
& member(sK6(X0,X1,X2,X3),X3)
& member(sK5(X0,X1,X2,X3),X2)
& apply(X1,sK5(X0,X1,X2,X3),sK7(X0,X1,X2,X3))
& apply(X0,sK5(X0,X1,X2,X3),sK6(X0,X1,X2,X3))
& sK6(X0,X1,X2,X3) != sK7(X0,X1,X2,X3) )
| equal_maps(X0,X1,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X4,sK5(X0,X1,X2,X3)),skolemize(X5,sK6(X0,X1,X2,X3)),skolemize(X6,sK7(X0,X1,X2,X3))],[f44]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ surjective(X0,X1,X2)
| ! [X3] :
( ~ member(X3,X2)
| ( apply(X0,sK8(X0,X1,X3),X3)
& member(sK8(X0,X1,X3),X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X4,sK8(X0,X1,X3))],[f47]) ).
fof(f78,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,[],[f50]) ).
fof(f93,plain,
( one_to_one(sK14,sK16,sK17)
& one_to_one(sK13,sK15,sK16)
& maps(sK14,sK16,sK17)
& maps(sK13,sK15,sK16)
& ~ equal_maps(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15),skolemize(X3,sK16),skolemize(X4,sK17)],[f52]) ).
fof(f120,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ maps(X0,X1,X2)
| ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 ),
inference(cnf_transformation,[],[f72]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK3(X0,X2,X3)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f122,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK3(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f123,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ member(X6,X4)
| ~ member(X5,X2)
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X0,sK4(X0,X1,X3,X5,X6),X6) ),
inference(cnf_transformation,[],[f75]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ member(X6,X4)
| ~ member(X5,X2)
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X1,X5,sK4(X0,X1,X3,X5,X6)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ member(X6,X4)
| ~ member(X5,X2)
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| member(sK4(X0,X1,X3,X5,X6),X3) ),
inference(cnf_transformation,[],[f75]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( member(sK7(X0,X1,X2,X3),X3)
| equal_maps(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f128,plain,
! [X2,X3,X0,X1] :
( member(sK6(X0,X1,X2,X3),X3)
| equal_maps(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f129,plain,
! [X2,X3,X0,X1] :
( member(sK5(X0,X1,X2,X3),X2)
| equal_maps(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( apply(X1,sK5(X0,X1,X2,X3),sK7(X0,X1,X2,X3))
| equal_maps(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f131,plain,
! [X2,X3,X0,X1] :
( apply(X0,sK5(X0,X1,X2,X3),sK6(X0,X1,X2,X3))
| equal_maps(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( sK6(X0,X1,X2,X3) != sK7(X0,X1,X2,X3)
| equal_maps(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f133,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ injective(X0,X1,X2)
| ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X1)
| ~ apply(X0,X4,X5)
| ~ apply(X0,X3,X5)
| X3 = X4 ),
inference(cnf_transformation,[],[f46]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( ~ surjective(X0,X1,X2)
| ~ member(X3,X2)
| apply(X0,sK8(X0,X1,X3),X3) ),
inference(cnf_transformation,[],[f77]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( ~ surjective(X0,X1,X2)
| ~ member(X3,X2)
| member(sK8(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ one_to_one(X0,X1,X2)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ one_to_one(X0,X1,X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f139,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,[],[f78]) ).
fof(f154,plain,
one_to_one(sK14,sK16,sK17),
inference(cnf_transformation,[],[f93]) ).
fof(f155,plain,
one_to_one(sK13,sK15,sK16),
inference(cnf_transformation,[],[f93]) ).
fof(f157,plain,
maps(sK13,sK15,sK16),
inference(cnf_transformation,[],[f93]) ).
fof(f158,plain,
~ equal_maps(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),
inference(cnf_transformation,[],[f93]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK3(X0,X2,X3),X2)
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,X3,sK3(X0,X2,X3))
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_77,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(cnf_transformation,[],[f120]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( member(sK4(X0,X1,X3,X5,X6),X3)
| ~ member(X6,X4)
| ~ member(X5,X2)
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( apply(X1,X5,sK4(X0,X1,X3,X5,X6))
| ~ member(X6,X4)
| ~ member(X5,X2)
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( apply(X0,sK4(X0,X1,X3,X5,X6),X6)
| ~ member(X6,X4)
| ~ member(X5,X2)
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equal_maps(X0,X1,X2,X3)
| ( sK6(X0,X1,X2,X3) != sK7(X0,X1,X2,X3) ) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equal_maps(X0,X1,X2,X3)
| apply(X0,sK5(X0,X1,X2,X3),sK6(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equal_maps(X1,X0,X2,X3)
| apply(X0,sK5(X1,X0,X2,X3),sK7(X1,X0,X2,X3)) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equal_maps(X0,X1,X2,X3)
| member(sK5(X0,X1,X2,X3),X2) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equal_maps(X0,X1,X2,X3)
| member(sK6(X0,X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equal_maps(X0,X1,X2,X3)
| member(sK7(X0,X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_88,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,[],[f133]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,X3),X1)
| ~ member(X3,X2)
| ~ surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK8(X0,X1,X3),X3)
| ~ member(X3,X2)
| ~ surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( injective(X0,X1,X2)
| ~ one_to_one(X0,X1,X2) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( surjective(X0,X1,X2)
| ~ one_to_one(X0,X1,X2) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_93,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,[],[f139]) ).
tcf(c_109,negated_conjecture,
~ equal_maps(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),
inference(cnf_transformation,[],[f158]) ).
tcf(c_110,negated_conjecture,
maps(sK13,sK15,sK16),
inference(cnf_transformation,[],[f157]) ).
tcf(c_112,negated_conjecture,
one_to_one(sK13,sK15,sK16),
inference(cnf_transformation,[],[f155]) ).
tcf(c_113,negated_conjecture,
one_to_one(sK14,sK16,sK17),
inference(cnf_transformation,[],[f154]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equal_maps(X0,X1,X2,X3)
| ( sK6(X0,X1,X2,X3) != sK7(X0,X1,X2,X3) ) ),
inference(prop_impl_just,[status(thm)],[c_82]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ one_to_one(X0,X1,X2)
| surjective(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_92]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i,X2: $i] :
( surjective(X0,X1,X2)
| ~ one_to_one(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_218]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i,X2: $i] :
( injective(X0,X1,X2)
| ~ one_to_one(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_91]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equal_maps(X0,X1,X2,X3)
| member(sK7(X0,X1,X2,X3),X3) ),
inference(prop_impl_just,[status(thm)],[c_87]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK5(X0,X1,X2,X3),sK6(X0,X1,X2,X3))
| equal_maps(X0,X1,X2,X3) ),
inference(prop_impl_just,[status(thm)],[c_83]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equal_maps(X0,X1,X2,X3)
| apply(X0,sK5(X0,X1,X2,X3),sK6(X0,X1,X2,X3)) ),
inference(renaming,[status(thm)],[c_266]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(X0,X1,X2,X3),X2)
| equal_maps(X0,X1,X2,X3) ),
inference(prop_impl_just,[status(thm)],[c_85]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equal_maps(X0,X1,X2,X3)
| member(sK5(X0,X1,X2,X3),X2) ),
inference(renaming,[status(thm)],[c_268]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(X0,X1,X2,X3),X3)
| equal_maps(X0,X1,X2,X3) ),
inference(prop_impl_just,[status(thm)],[c_86]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equal_maps(X0,X1,X2,X3)
| member(sK6(X0,X1,X2,X3),X3) ),
inference(renaming,[status(thm)],[c_270]) ).
tcf(c_290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equal_maps(X1,X0,X2,X3)
| apply(X0,sK5(X1,X0,X2,X3),sK7(X1,X0,X2,X3)) ),
inference(prop_impl_just,[status(thm)],[c_84]) ).
tcf(c_1042,plain,
! [X0: $i,X1: $i,X2: $i] :
( surjective(X0,X1,X2)
| ( X2 != sK16 )
| ( X1 != sK15 )
| ( X0 != sK13 ) ),
inference(resolution_lifted,[status(thm)],[c_219,c_112]) ).
tcf(c_1043,plain,
surjective(sK13,sK15,sK16),
inference(unflattening,[status(thm)],[c_1042]) ).
tcf(c_1047,plain,
! [X0: $i,X1: $i,X2: $i] :
( injective(X0,X1,X2)
| ( X2 != sK16 )
| ( X1 != sK15 )
| ( X0 != sK13 ) ),
inference(resolution_lifted,[status(thm)],[c_222,c_112]) ).
tcf(c_1048,plain,
injective(sK13,sK15,sK16),
inference(unflattening,[status(thm)],[c_1047]) ).
tcf(c_1057,plain,
! [X0: $i,X1: $i,X2: $i] :
( injective(X0,X1,X2)
| ( X2 != sK17 )
| ( X1 != sK16 )
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_222,c_113]) ).
tcf(c_1058,plain,
injective(sK14,sK16,sK17),
inference(unflattening,[status(thm)],[c_1057]) ).
tcf(c_1066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,X2,X3),X3)
| ( X3 != sK15 )
| ( X2 != sK17 )
| ( inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17) != X0 )
| ( compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_262,c_109]) ).
tcf(c_1067,plain,
member(sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15),
inference(unflattening,[status(thm)],[c_1066]) ).
tcf(c_1071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(X0,X1,X2,X3),X3)
| ( X3 != sK15 )
| ( X2 != sK17 )
| ( inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17) != X0 )
| ( compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_271,c_109]) ).
tcf(c_1072,plain,
member(sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15),
inference(unflattening,[status(thm)],[c_1071]) ).
tcf(c_1076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(X0,X1,X2,X3),X2)
| ( X3 != sK15 )
| ( X2 != sK17 )
| ( inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17) != X0 )
| ( compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_269,c_109]) ).
tcf(c_1077,plain,
member(sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK17),
inference(unflattening,[status(thm)],[c_1076]) ).
tcf(c_1081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK5(X0,X1,X2,X3),sK6(X0,X1,X2,X3))
| ( X3 != sK15 )
| ( X2 != sK17 )
| ( inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17) != X0 )
| ( compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_267,c_109]) ).
tcf(c_1082,plain,
apply(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),
inference(unflattening,[status(thm)],[c_1081]) ).
tcf(c_1086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 != sK15 )
| ( X2 != sK17 )
| ( sK6(X0,X1,X2,X3) != sK7(X0,X1,X2,X3) )
| ( inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17) != X0 )
| ( compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_216,c_109]) ).
tcf(c_1087,plain,
sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15) != sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),
inference(unflattening,[status(thm)],[c_1086]) ).
tcf(c_1091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK5(X1,X0,X2,X3),sK7(X1,X0,X2,X3))
| ( X3 != sK15 )
| ( X2 != sK17 )
| ( inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17) != X1 )
| ( compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_290,c_109]) ).
tcf(c_1092,plain,
apply(compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),
inference(unflattening,[status(thm)],[c_1091]) ).
tcf(c_1102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK8(X0,X1,X3),X3)
| ~ member(X3,X2)
| ( X2 != sK16 )
| ( X1 != sK15 )
| ( X0 != sK13 ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_1043]) ).
tcf(c_1103,plain,
! [X0: $i] :
( apply(sK13,sK8(sK13,sK15,X0),X0)
| ~ member(X0,sK16) ),
inference(unflattening,[status(thm)],[c_1102]) ).
tcf(c_1111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,X3),X1)
| ~ member(X3,X2)
| ( X2 != sK16 )
| ( X1 != sK15 )
| ( X0 != sK13 ) ),
inference(resolution_lifted,[status(thm)],[c_89,c_1043]) ).
tcf(c_1112,plain,
! [X0: $i] :
( member(sK8(sK13,sK15,X0),sK15)
| ~ member(X0,sK16) ),
inference(unflattening,[status(thm)],[c_1111]) ).
tcf(c_1146,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)
| ( X2 != sK16 )
| ( X1 != sK15 )
| ( X0 != sK13 ) ),
inference(resolution_lifted,[status(thm)],[c_88,c_1048]) ).
tcf(c_1147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ member(X2,sK15)
| ~ member(X1,sK16)
| ~ member(X0,sK15)
| ~ apply(sK13,X2,X1)
| ~ apply(sK13,X0,X1) ),
inference(unflattening,[status(thm)],[c_1146]) ).
tcf(c_1167,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)
| ( X2 != sK17 )
| ( X1 != sK16 )
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_88,c_1058]) ).
tcf(c_1168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ member(X2,sK16)
| ~ member(X1,sK17)
| ~ member(X0,sK16)
| ~ apply(sK14,X2,X1)
| ~ apply(sK14,X0,X1) ),
inference(unflattening,[status(thm)],[c_1167]) ).
tcf(c_1266,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)
| ( X2 != sK16 )
| ( X1 != sK15 )
| ( X0 != sK13 ) ),
inference(resolution_lifted,[status(thm)],[c_77,c_110]) ).
tcf(c_1267,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ member(X2,sK16)
| ~ member(X1,sK16)
| ~ member(X0,sK15)
| ~ apply(sK13,X0,X2)
| ~ apply(sK13,X0,X1) ),
inference(unflattening,[status(thm)],[c_1266]) ).
tcf(c_1286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,X3,sK3(X0,X2,X3))
| ~ member(X3,X1)
| ( X2 != sK16 )
| ( X1 != sK15 )
| ( X0 != sK13 ) ),
inference(resolution_lifted,[status(thm)],[c_76,c_110]) ).
tcf(c_1287,plain,
! [X0: $i] :
( apply(sK13,X0,sK3(sK13,sK16,X0))
| ~ member(X0,sK15) ),
inference(unflattening,[status(thm)],[c_1286]) ).
tcf(c_1295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK3(X0,X2,X3),X2)
| ~ member(X3,X1)
| ( X2 != sK16 )
| ( X1 != sK15 )
| ( X0 != sK13 ) ),
inference(resolution_lifted,[status(thm)],[c_75,c_110]) ).
tcf(c_1296,plain,
! [X0: $i] :
( member(sK3(sK13,sK16,X0),sK16)
| ~ member(X0,sK15) ),
inference(unflattening,[status(thm)],[c_1295]) ).
tcf(c_1458,plain,
! [X0: $i] :
( apply(sK13,sK8(sK13,sK15,X0),X0)
| ~ member(X0,sK16) ),
inference(prop_impl_just,[status(thm)],[c_1103]) ).
tcf(c_1478,plain,
! [X0: $i] :
( apply(sK13,X0,sK3(sK13,sK16,X0))
| ~ member(X0,sK15) ),
inference(prop_impl_just,[status(thm)],[c_1287]) ).
tcf(c_5470,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK13,sK15,X0) = X1 )
| ~ member(X1,sK15)
| ~ member(X0,sK16)
| ~ apply(sK13,X1,X0)
| ~ member(sK8(sK13,sK15,X0),sK15) ),
inference(superposition,[status(thm)],[c_1458,c_1147]) ).
tcf(c_5782,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK13,sK15,X0) = X1 )
| ~ member(X1,sK15)
| ~ member(X0,sK16)
| ~ apply(sK13,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_5470,c_1112,c_5470]) ).
tcf(c_5783,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK13,sK15,X1) = X0 )
| ~ member(X1,sK16)
| ~ member(X0,sK15)
| ~ apply(sK13,X0,X1) ),
inference(renaming,[status(thm)],[c_5782]) ).
tcf(c_6512,plain,
! [X0: $i] :
( ( sK8(sK13,sK15,sK3(sK13,sK16,X0)) = X0 )
| ~ member(X0,sK15)
| ~ member(sK3(sK13,sK16,X0),sK16) ),
inference(superposition,[status(thm)],[c_1478,c_5783]) ).
tcf(c_6514,plain,
! [X0: $i,X1: $i] :
( ( sK3(sK13,sK16,X0) = X1 )
| ~ member(X1,sK16)
| ~ member(X0,sK15)
| ~ apply(sK13,X0,X1)
| ~ member(sK3(sK13,sK16,X0),sK16) ),
inference(superposition,[status(thm)],[c_1478,c_1267]) ).
tcf(c_8262,plain,
! [X0: $i,X1: $i] :
( ( sK3(sK13,sK16,X0) = X1 )
| ~ member(X1,sK16)
| ~ member(X0,sK15)
| ~ apply(sK13,X0,X1)
| ~ member(sK3(sK13,sK16,X0),sK16) ),
inference(superposition,[status(thm)],[c_1478,c_1267]) ).
tcf(c_8424,plain,
! [X0: $i,X1: $i] :
( ( sK3(sK13,sK16,X0) = X1 )
| ~ member(X1,sK16)
| ~ member(X0,sK15)
| ~ apply(sK13,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_8262,c_1296,c_6514]) ).
tcf(c_10690,plain,
( apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15))
| ~ member(sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK17)
| ~ member(sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15) ),
inference(superposition,[status(thm)],[c_1082,c_93]) ).
tcf(c_10691,plain,
apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),
inference(forward_subsumption_resolution,[status(thm)],[c_10690,c_1077,c_1072]) ).
tcf(c_10989,plain,
( apply(sK13,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)))
| ~ member(sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK17)
| ~ member(sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15) ),
inference(superposition,[status(thm)],[c_10691,c_80]) ).
tcf(c_10990,plain,
( member(sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16)
| ~ member(sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK17)
| ~ member(sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15) ),
inference(superposition,[status(thm)],[c_10691,c_79]) ).
tcf(c_10991,plain,
member(sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16),
inference(forward_subsumption_resolution,[status(thm)],[c_10990,c_1077,c_1072]) ).
tcf(c_10992,plain,
apply(sK13,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15))),
inference(forward_subsumption_resolution,[status(thm)],[c_10989,c_1077,c_1072]) ).
tcf(c_11057,plain,
( ( sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)) = sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)) )
| ~ member(sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15)
| ~ member(sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16) ),
inference(superposition,[status(thm)],[c_10992,c_8424]) ).
tcf(c_11064,plain,
sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)) = sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),
inference(forward_subsumption_resolution,[status(thm)],[c_11057,c_1072,c_10991]) ).
tcf(c_11121,plain,
member(sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16),
inference(demodulation,[status(thm)],[c_10991,c_11064]) ).
tcf(c_12877,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK13,sK15,X0) = X1 )
| ~ member(X1,sK15)
| ~ member(X0,sK16)
| ~ apply(sK13,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_5470,c_1112,c_5470]) ).
tcf(c_12878,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK13,sK15,X1) = X0 )
| ~ member(X1,sK16)
| ~ member(X0,sK15)
| ~ apply(sK13,X0,X1) ),
inference(renaming,[status(thm)],[c_12877]) ).
tcf(c_13226,plain,
! [X0: $i] :
( ( sK8(sK13,sK15,sK3(sK13,sK16,X0)) = X0 )
| ~ member(X0,sK15)
| ~ member(sK3(sK13,sK16,X0),sK16) ),
inference(superposition,[status(thm)],[c_1478,c_12878]) ).
tcf(c_13228,plain,
! [X0: $i,X1: $i] :
( ( sK3(sK13,sK16,X0) = X1 )
| ~ member(X1,sK16)
| ~ member(X0,sK15)
| ~ apply(sK13,X0,X1)
| ~ member(sK3(sK13,sK16,X0),sK16) ),
inference(superposition,[status(thm)],[c_1478,c_1267]) ).
tcf(c_13252,plain,
! [X0: $i] :
( ( sK8(sK13,sK15,sK3(sK13,sK16,X0)) = X0 )
| ~ member(X0,sK15) ),
inference(global_subsumption_just,[status(thm)],[c_13226,c_1296,c_6512]) ).
tcf(c_13260,plain,
sK8(sK13,sK15,sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15))) = sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),
inference(superposition,[status(thm)],[c_1072,c_13252]) ).
tcf(c_13388,plain,
! [X0: $i,X1: $i] :
( ( sK3(sK13,sK16,X0) = X1 )
| ~ member(X1,sK16)
| ~ member(X0,sK15)
| ~ apply(sK13,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_13228,c_1296,c_6514]) ).
tcf(c_13399,plain,
( apply(sK13,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)))
| ~ member(sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16) ),
inference(superposition,[status(thm)],[c_13260,c_1458]) ).
tcf(c_13402,plain,
apply(sK13,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15))),
inference(forward_subsumption_resolution,[status(thm)],[c_13399,c_11121]) ).
tcf(c_13528,plain,
! [X0: $i] :
( ( sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15) = X0 )
| ~ member(X0,sK15)
| ~ member(sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15)
| ~ member(sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16)
| ~ apply(sK13,X0,sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15))) ),
inference(superposition,[status(thm)],[c_13402,c_1147]) ).
tcf(c_13532,plain,
! [X0: $i] :
( ( sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15) = X0 )
| ~ member(X0,sK15)
| ~ apply(sK13,X0,sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13528,c_1072,c_11121]) ).
tcf(c_14477,plain,
( apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15))
| ~ member(sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK17)
| ~ member(sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15) ),
inference(superposition,[status(thm)],[c_1082,c_93]) ).
tcf(c_14478,plain,
apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),
inference(forward_subsumption_resolution,[status(thm)],[c_14477,c_1077,c_1072]) ).
tcf(c_14494,plain,
( member(sK4(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK16,sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16)
| ~ member(sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK17)
| ~ member(sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15) ),
inference(superposition,[status(thm)],[c_1092,c_79]) ).
tcf(c_14495,plain,
member(sK4(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK16,sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16),
inference(forward_subsumption_resolution,[status(thm)],[c_14494,c_1077,c_1067]) ).
tcf(c_14502,plain,
( apply(inverse_function(sK14,sK16,sK17),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK4(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK16,sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)))
| ~ member(sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK17)
| ~ member(sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15) ),
inference(superposition,[status(thm)],[c_1092,c_80]) ).
tcf(c_14503,plain,
apply(inverse_function(sK14,sK16,sK17),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK4(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK16,sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15))),
inference(forward_subsumption_resolution,[status(thm)],[c_14502,c_1077,c_1067]) ).
tcf(c_14539,plain,
( apply(sK13,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)))
| ~ member(sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK17)
| ~ member(sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15) ),
inference(superposition,[status(thm)],[c_14478,c_80]) ).
tcf(c_14540,plain,
( member(sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16)
| ~ member(sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK17)
| ~ member(sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15) ),
inference(superposition,[status(thm)],[c_14478,c_79]) ).
tcf(c_14541,plain,
member(sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16),
inference(forward_subsumption_resolution,[status(thm)],[c_14540,c_1077,c_1072]) ).
tcf(c_14542,plain,
apply(sK13,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15))),
inference(forward_subsumption_resolution,[status(thm)],[c_14539,c_1077,c_1072]) ).
tcf(c_14551,plain,
( ( sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)) = sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)) )
| ~ member(sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15)
| ~ member(sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16) ),
inference(superposition,[status(thm)],[c_14542,c_13388]) ).
tcf(c_14561,plain,
sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)) = sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),
inference(forward_subsumption_resolution,[status(thm)],[c_14551,c_1072,c_14541]) ).
tcf(c_14572,plain,
( apply(sK14,sK4(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK16,sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15))
| ~ member(sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK17)
| ~ member(sK4(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK16,sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16) ),
inference(superposition,[status(thm)],[c_14503,c_93]) ).
tcf(c_14573,plain,
apply(sK14,sK4(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK16,sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),
inference(forward_subsumption_resolution,[status(thm)],[c_14572,c_1077,c_14495]) ).
tcf(c_14599,plain,
( apply(inverse_function(sK13,sK15,sK16),sK4(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK16,sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15))
| ~ member(sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK17)
| ~ member(sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15) ),
inference(superposition,[status(thm)],[c_1092,c_81]) ).
tcf(c_14600,plain,
( apply(sK14,sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15))
| ~ member(sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK17)
| ~ member(sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15) ),
inference(superposition,[status(thm)],[c_14478,c_81]) ).
tcf(c_14601,plain,
apply(sK14,sK4(sK14,sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),
inference(forward_subsumption_resolution,[status(thm)],[c_14600,c_1077,c_1072]) ).
tcf(c_14602,plain,
apply(inverse_function(sK13,sK15,sK16),sK4(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK16,sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),
inference(forward_subsumption_resolution,[status(thm)],[c_14599,c_1077,c_1067]) ).
tcf(c_14921,plain,
apply(sK14,sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),
inference(light_normalisation,[status(thm)],[c_14601,c_14561]) ).
tcf(c_14929,plain,
! [X0: $i] :
( ( sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)) = X0 )
| ~ member(X0,sK16)
| ~ member(sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK17)
| ~ apply(sK14,X0,sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15))
| ~ member(sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16) ),
inference(superposition,[status(thm)],[c_14921,c_1168]) ).
tcf(c_14934,plain,
! [X0: $i] :
( ( sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)) = X0 )
| ~ member(X0,sK16)
| ~ apply(sK14,X0,sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14929,c_1077,c_11121]) ).
tcf(c_14961,plain,
( ( sK4(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK16,sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)) = sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)) )
| ~ member(sK4(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK16,sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16) ),
inference(superposition,[status(thm)],[c_14573,c_14934]) ).
tcf(c_14963,plain,
sK4(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK16,sK5(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)) = sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),
inference(forward_subsumption_resolution,[status(thm)],[c_14961,c_14495]) ).
tcf(c_15343,plain,
apply(inverse_function(sK13,sK15,sK16),sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),
inference(light_normalisation,[status(thm)],[c_14602,c_14963]) ).
tcf(c_15349,plain,
( apply(sK13,sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)))
| ~ member(sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15)
| ~ member(sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15)),sK16) ),
inference(superposition,[status(thm)],[c_15343,c_93]) ).
tcf(c_15350,plain,
apply(sK13,sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK3(sK13,sK16,sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15))),
inference(forward_subsumption_resolution,[status(thm)],[c_15349,c_1067,c_11121]) ).
tcf(c_15493,plain,
( ( sK6(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15) = sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15) )
| ~ member(sK7(inverse_function(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK17),compose_function(inverse_function(sK13,sK15,sK16),inverse_function(sK14,sK16,sK17),sK17,sK16,sK15),sK17,sK15),sK15) ),
inference(superposition,[status(thm)],[c_15350,c_13532]) ).
tcf(c_15496,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_15493,c_1087,c_1067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET719+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 11:46:05 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.41 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
% 0.13/0.42
% 0.13/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.42
% 0.13/0.42 % Detected problem language: tptp
% 0.13/0.44 % Proving...
% 51.24/8.49 % SZS status Started for theBenchmark.p
% 51.24/8.49 % SZS status Theorem for theBenchmark.p
% 51.24/8.49
% 51.24/8.49 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 51.24/8.49
% 51.24/8.49 % ------ iProver source info
% 51.24/8.49
% 51.24/8.49 % git: date: 2026-07-19 20:42:38 +0200
% 51.24/8.49 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 51.24/8.49 % git: non_committed_changes: false
% 51.24/8.49
% 51.24/8.49 % ------ Parsing...
% 51.24/8.49 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 51.24/8.49
% 51.24/8.49 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 51.24/8.49
% 51.24/8.49 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 51.24/8.49
% 51.24/8.49 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 51.24/8.49 % ------ Proving...
% 51.24/8.49 % ------ Problem Properties
% 51.24/8.49
% 51.24/8.49 %
% 51.24/8.49 % clauses 64
% 51.24/8.49 % conjectures 0
% 51.24/8.49 % EPR 6
% 51.24/8.49 % Horn 59
% 51.24/8.49 % unary 10
% 51.24/8.49 % binary 33
% 51.24/8.49 % lits 161
% 51.24/8.49 % lits eq 8
% 51.24/8.49 % fd_pure 0
% 51.24/8.49 % fd_pseudo 0
% 51.24/8.49 % fd_cond 0
% 51.24/8.49 % fd_pseudo_cond 6
% 51.24/8.49 % AC symbols 0
% 51.24/8.49
% 51.24/8.49 % ------ Input Options Time Limit: Unbounded
% 51.24/8.49
% 51.24/8.49
% 51.24/8.49 % ------
% 51.24/8.49 % Current options:
% 51.24/8.49 % ------
% 51.24/8.49
% 51.24/8.49
% 51.24/8.49 %
% 51.24/8.49
% 51.24/8.49 % ------ Proving...
% 51.24/8.49 %
% 51.24/8.49
% 51.24/8.49 % SZS status Theorem for theBenchmark.p
% 51.24/8.49
% 51.24/8.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 51.24/8.49
% 51.24/8.49
%------------------------------------------------------------------------------