TSTP Solution File: NUM861+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM861+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 11:33:21 EDT 2023
% Result : Theorem 240.56s 32.35s
% Output : CNFRefutation 240.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 24
% Syntax : Number of formulae : 411 ( 37 unt; 0 def)
% Number of atoms : 1139 ( 247 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1339 ( 611 ~; 644 |; 58 &)
% ( 15 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 673 ( 6 sgn; 212 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : lesseq(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_ref) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( lesseq(X1,X2)
& lesseq(X0,X1) )
=> lesseq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_trans) ).
fof(f3,axiom,
! [X0,X1] :
( ( lesseq(X1,X0)
& lesseq(X0,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_antisymmetric) ).
fof(f4,axiom,
! [X0,X1] :
( lesseq(X1,X0)
| lesseq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_total) ).
fof(f5,axiom,
! [X0,X1,X2] :
( lesseq(X0,X1)
<=> lesseq(sum(X2,X0),sum(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_monotone_1) ).
fof(f6,axiom,
! [X0,X1] :
( lesseq(X0,X1)
<=> lesseq(summation(X0),summation(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',summation_monotone) ).
fof(f7,axiom,
! [X0,X1] :
( ~ lesseq(X1,X0)
| max(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1) ).
fof(f8,axiom,
! [X0,X1] :
( ~ lesseq(X0,X1)
| max(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ub(X0,X1,X2)
<=> ( lesseq(X1,X2)
& lesseq(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub) ).
fof(f10,axiom,
! [X0,X1,X3] :
( model_max(X0,X1,X3)
<=> lesseq(sum(c,max(X0,X1)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_4) ).
fof(f11,axiom,
! [X0,X1,X3] :
( model_ub(X0,X1,X3)
<=> ? [X2] :
( lesseq(sum(c,X2),X3)
& ub(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_4) ).
fof(f12,axiom,
! [X0,X1,X3] :
( minsol_model_max(X0,X1,X3)
<=> ( ! [X2] :
( model_max(X0,X1,X2)
=> lesseq(X3,X2) )
& model_max(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max) ).
fof(f13,axiom,
! [X0,X1,X3] :
( minsol_model_ub(X0,X1,X3)
<=> ( ! [X2] :
( model_ub(X0,X1,X2)
=> lesseq(X3,X2) )
& model_ub(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ub_1) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
inference(negated_conjecture,[],[f14]) ).
fof(f16,plain,
! [X0,X1,X2] :
( model_max(X0,X1,X2)
<=> lesseq(sum(c,max(X0,X1)),X2) ),
inference(rectify,[],[f10]) ).
fof(f17,plain,
! [X0,X1,X2] :
( model_ub(X0,X1,X2)
<=> ? [X3] :
( lesseq(sum(c,X3),X2)
& ub(X0,X1,X3) ) ),
inference(rectify,[],[f11]) ).
fof(f18,plain,
! [X0,X1,X2] :
( minsol_model_max(X0,X1,X2)
<=> ( ! [X3] :
( model_max(X0,X1,X3)
=> lesseq(X2,X3) )
& model_max(X0,X1,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f19,plain,
! [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<=> ( ! [X3] :
( model_ub(X0,X1,X3)
=> lesseq(X2,X3) )
& model_ub(X0,X1,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f20,plain,
! [X0,X1,X2] :
( lesseq(X0,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1,X2] :
( lesseq(X0,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( X0 = X1
| ~ lesseq(X1,X0)
| ~ lesseq(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f23,plain,
! [X0,X1] :
( X0 = X1
| ~ lesseq(X1,X0)
| ~ lesseq(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X0,X1,X2] :
( minsol_model_max(X0,X1,X2)
<=> ( ! [X3] :
( lesseq(X2,X3)
| ~ model_max(X0,X1,X3) )
& model_max(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f25,plain,
! [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<=> ( ! [X3] :
( lesseq(X2,X3)
| ~ model_ub(X0,X1,X3) )
& model_ub(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f26,plain,
? [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<~> minsol_model_max(X0,X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( lesseq(X0,X1)
| ~ lesseq(sum(X2,X0),sum(X2,X1)) )
& ( lesseq(sum(X2,X0),sum(X2,X1))
| ~ lesseq(X0,X1) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f28,plain,
! [X0,X1] :
( ( lesseq(X0,X1)
| ~ lesseq(summation(X0),summation(X1)) )
& ( lesseq(summation(X0),summation(X1))
| ~ lesseq(X0,X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( ub(X0,X1,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X0,X2) )
& ( ( lesseq(X1,X2)
& lesseq(X0,X2) )
| ~ ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( ub(X0,X1,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X0,X2) )
& ( ( lesseq(X1,X2)
& lesseq(X0,X2) )
| ~ ub(X0,X1,X2) ) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( model_max(X0,X1,X2)
| ~ lesseq(sum(c,max(X0,X1)),X2) )
& ( lesseq(sum(c,max(X0,X1)),X2)
| ~ model_max(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( model_ub(X0,X1,X2)
| ! [X3] :
( ~ lesseq(sum(c,X3),X2)
| ~ ub(X0,X1,X3) ) )
& ( ? [X3] :
( lesseq(sum(c,X3),X2)
& ub(X0,X1,X3) )
| ~ model_ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( model_ub(X0,X1,X2)
| ! [X3] :
( ~ lesseq(sum(c,X3),X2)
| ~ ub(X0,X1,X3) ) )
& ( ? [X4] :
( lesseq(sum(c,X4),X2)
& ub(X0,X1,X4) )
| ~ model_ub(X0,X1,X2) ) ),
inference(rectify,[],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ? [X4] :
( lesseq(sum(c,X4),X2)
& ub(X0,X1,X4) )
=> ( lesseq(sum(c,sK0(X0,X1,X2)),X2)
& ub(X0,X1,sK0(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( model_ub(X0,X1,X2)
| ! [X3] :
( ~ lesseq(sum(c,X3),X2)
| ~ ub(X0,X1,X3) ) )
& ( ( lesseq(sum(c,sK0(X0,X1,X2)),X2)
& ub(X0,X1,sK0(X0,X1,X2)) )
| ~ model_ub(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f34]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( minsol_model_max(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_max(X0,X1,X3) )
| ~ model_max(X0,X1,X2) )
& ( ( ! [X3] :
( lesseq(X2,X3)
| ~ model_max(X0,X1,X3) )
& model_max(X0,X1,X2) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( minsol_model_max(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_max(X0,X1,X3) )
| ~ model_max(X0,X1,X2) )
& ( ( ! [X3] :
( lesseq(X2,X3)
| ~ model_max(X0,X1,X3) )
& model_max(X0,X1,X2) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( minsol_model_max(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_max(X0,X1,X3) )
| ~ model_max(X0,X1,X2) )
& ( ( ! [X4] :
( lesseq(X2,X4)
| ~ model_max(X0,X1,X4) )
& model_max(X0,X1,X2) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ lesseq(X2,X3)
& model_max(X0,X1,X3) )
=> ( ~ lesseq(X2,sK1(X0,X1,X2))
& model_max(X0,X1,sK1(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( minsol_model_max(X0,X1,X2)
| ( ~ lesseq(X2,sK1(X0,X1,X2))
& model_max(X0,X1,sK1(X0,X1,X2)) )
| ~ model_max(X0,X1,X2) )
& ( ( ! [X4] :
( lesseq(X2,X4)
| ~ model_max(X0,X1,X4) )
& model_max(X0,X1,X2) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f38,f39]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( minsol_model_ub(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_ub(X0,X1,X3) )
| ~ model_ub(X0,X1,X2) )
& ( ( ! [X3] :
( lesseq(X2,X3)
| ~ model_ub(X0,X1,X3) )
& model_ub(X0,X1,X2) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( minsol_model_ub(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_ub(X0,X1,X3) )
| ~ model_ub(X0,X1,X2) )
& ( ( ! [X3] :
( lesseq(X2,X3)
| ~ model_ub(X0,X1,X3) )
& model_ub(X0,X1,X2) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( minsol_model_ub(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_ub(X0,X1,X3) )
| ~ model_ub(X0,X1,X2) )
& ( ( ! [X4] :
( lesseq(X2,X4)
| ~ model_ub(X0,X1,X4) )
& model_ub(X0,X1,X2) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(rectify,[],[f42]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ lesseq(X2,X3)
& model_ub(X0,X1,X3) )
=> ( ~ lesseq(X2,sK2(X0,X1,X2))
& model_ub(X0,X1,sK2(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( minsol_model_ub(X0,X1,X2)
| ( ~ lesseq(X2,sK2(X0,X1,X2))
& model_ub(X0,X1,sK2(X0,X1,X2)) )
| ~ model_ub(X0,X1,X2) )
& ( ( ! [X4] :
( lesseq(X2,X4)
| ~ model_ub(X0,X1,X4) )
& model_ub(X0,X1,X2) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f43,f44]) ).
fof(f46,plain,
? [X0,X1,X2] :
( ( ~ minsol_model_max(X0,X1,X2)
| ~ minsol_model_ub(X0,X1,X2) )
& ( minsol_model_max(X0,X1,X2)
| minsol_model_ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f47,plain,
( ? [X0,X1,X2] :
( ( ~ minsol_model_max(X0,X1,X2)
| ~ minsol_model_ub(X0,X1,X2) )
& ( minsol_model_max(X0,X1,X2)
| minsol_model_ub(X0,X1,X2) ) )
=> ( ( ~ minsol_model_max(sK3,sK4,sK5)
| ~ minsol_model_ub(sK3,sK4,sK5) )
& ( minsol_model_max(sK3,sK4,sK5)
| minsol_model_ub(sK3,sK4,sK5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( ( ~ minsol_model_max(sK3,sK4,sK5)
| ~ minsol_model_ub(sK3,sK4,sK5) )
& ( minsol_model_max(sK3,sK4,sK5)
| minsol_model_ub(sK3,sK4,sK5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f46,f47]) ).
fof(f49,plain,
! [X0] : lesseq(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f50,plain,
! [X2,X0,X1] :
( lesseq(X0,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0,X1] :
( X0 = X1
| ~ lesseq(X1,X0)
| ~ lesseq(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f52,plain,
! [X0,X1] :
( lesseq(X1,X0)
| lesseq(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f53,plain,
! [X2,X0,X1] :
( lesseq(sum(X2,X0),sum(X2,X1))
| ~ lesseq(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f54,plain,
! [X2,X0,X1] :
( lesseq(X0,X1)
| ~ lesseq(sum(X2,X0),sum(X2,X1)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f55,plain,
! [X0,X1] :
( lesseq(summation(X0),summation(X1))
| ~ lesseq(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f56,plain,
! [X0,X1] :
( lesseq(X0,X1)
| ~ lesseq(summation(X0),summation(X1)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f57,plain,
! [X0,X1] :
( ~ lesseq(X1,X0)
| max(X0,X1) = X0 ),
inference(cnf_transformation,[],[f7]) ).
fof(f58,plain,
! [X0,X1] :
( ~ lesseq(X0,X1)
| max(X0,X1) = X1 ),
inference(cnf_transformation,[],[f8]) ).
fof(f59,plain,
! [X2,X0,X1] :
( lesseq(X0,X2)
| ~ ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f60,plain,
! [X2,X0,X1] :
( lesseq(X1,X2)
| ~ ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ub(X0,X1,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f62,plain,
! [X2,X0,X1] :
( lesseq(sum(c,max(X0,X1)),X2)
| ~ model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f63,plain,
! [X2,X0,X1] :
( model_max(X0,X1,X2)
| ~ lesseq(sum(c,max(X0,X1)),X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ub(X0,X1,sK0(X0,X1,X2))
| ~ model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f65,plain,
! [X2,X0,X1] :
( lesseq(sum(c,sK0(X0,X1,X2)),X2)
| ~ model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( model_ub(X0,X1,X2)
| ~ lesseq(sum(c,X3),X2)
| ~ ub(X0,X1,X3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f67,plain,
! [X2,X0,X1] :
( model_max(X0,X1,X2)
| ~ minsol_model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f68,plain,
! [X2,X0,X1,X4] :
( lesseq(X2,X4)
| ~ model_max(X0,X1,X4)
| ~ minsol_model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f69,plain,
! [X2,X0,X1] :
( minsol_model_max(X0,X1,X2)
| model_max(X0,X1,sK1(X0,X1,X2))
| ~ model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f70,plain,
! [X2,X0,X1] :
( minsol_model_max(X0,X1,X2)
| ~ lesseq(X2,sK1(X0,X1,X2))
| ~ model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f71,plain,
! [X2,X0,X1] :
( model_ub(X0,X1,X2)
| ~ minsol_model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f72,plain,
! [X2,X0,X1,X4] :
( lesseq(X2,X4)
| ~ model_ub(X0,X1,X4)
| ~ minsol_model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f73,plain,
! [X2,X0,X1] :
( minsol_model_ub(X0,X1,X2)
| model_ub(X0,X1,sK2(X0,X1,X2))
| ~ model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f74,plain,
! [X2,X0,X1] :
( minsol_model_ub(X0,X1,X2)
| ~ lesseq(X2,sK2(X0,X1,X2))
| ~ model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f75,plain,
( minsol_model_max(sK3,sK4,sK5)
| minsol_model_ub(sK3,sK4,sK5) ),
inference(cnf_transformation,[],[f48]) ).
fof(f76,plain,
( ~ minsol_model_max(sK3,sK4,sK5)
| ~ minsol_model_ub(sK3,sK4,sK5) ),
inference(cnf_transformation,[],[f48]) ).
cnf(c_49,plain,
lesseq(X0,X0),
inference(cnf_transformation,[],[f49]) ).
cnf(c_50,plain,
( ~ lesseq(X0,X1)
| ~ lesseq(X1,X2)
| lesseq(X0,X2) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_51,plain,
( ~ lesseq(X0,X1)
| ~ lesseq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_52,plain,
( lesseq(X0,X1)
| lesseq(X1,X0) ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_53,plain,
( ~ lesseq(sum(X0,X1),sum(X0,X2))
| lesseq(X1,X2) ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_54,plain,
( ~ lesseq(X0,X1)
| lesseq(sum(X2,X0),sum(X2,X1)) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_55,plain,
( ~ lesseq(summation(X0),summation(X1))
| lesseq(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_56,plain,
( ~ lesseq(X0,X1)
| lesseq(summation(X0),summation(X1)) ),
inference(cnf_transformation,[],[f55]) ).
cnf(c_57,plain,
( ~ lesseq(X0,X1)
| max(X1,X0) = X1 ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_58,plain,
( ~ lesseq(X0,X1)
| max(X0,X1) = X1 ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_59,plain,
( ~ lesseq(X0,X1)
| ~ lesseq(X2,X1)
| ub(X0,X2,X1) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_60,plain,
( ~ ub(X0,X1,X2)
| lesseq(X1,X2) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_61,plain,
( ~ ub(X0,X1,X2)
| lesseq(X0,X2) ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_62,plain,
( ~ lesseq(sum(c,max(X0,X1)),X2)
| model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_63,plain,
( ~ model_max(X0,X1,X2)
| lesseq(sum(c,max(X0,X1)),X2) ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_64,plain,
( ~ lesseq(sum(c,X0),X1)
| ~ ub(X2,X3,X0)
| model_ub(X2,X3,X1) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_65,plain,
( ~ model_ub(X0,X1,X2)
| lesseq(sum(c,sK0(X0,X1,X2)),X2) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_66,plain,
( ~ model_ub(X0,X1,X2)
| ub(X0,X1,sK0(X0,X1,X2)) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_67,plain,
( ~ lesseq(X0,sK1(X1,X2,X0))
| ~ model_max(X1,X2,X0)
| minsol_model_max(X1,X2,X0) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_68,plain,
( ~ model_max(X0,X1,X2)
| model_max(X0,X1,sK1(X0,X1,X2))
| minsol_model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_69,plain,
( ~ model_max(X0,X1,X2)
| ~ minsol_model_max(X0,X1,X3)
| lesseq(X3,X2) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_70,plain,
( ~ minsol_model_max(X0,X1,X2)
| model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
cnf(c_71,plain,
( ~ lesseq(X0,sK2(X1,X2,X0))
| ~ model_ub(X1,X2,X0)
| minsol_model_ub(X1,X2,X0) ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_72,plain,
( ~ model_ub(X0,X1,X2)
| model_ub(X0,X1,sK2(X0,X1,X2))
| minsol_model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_73,plain,
( ~ model_ub(X0,X1,X2)
| ~ minsol_model_ub(X0,X1,X3)
| lesseq(X3,X2) ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_74,plain,
( ~ minsol_model_ub(X0,X1,X2)
| model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_75,negated_conjecture,
( ~ minsol_model_max(sK3,sK4,sK5)
| ~ minsol_model_ub(sK3,sK4,sK5) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_76,negated_conjecture,
( minsol_model_max(sK3,sK4,sK5)
| minsol_model_ub(sK3,sK4,sK5) ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_77,plain,
lesseq(c,c),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_87,plain,
( ~ lesseq(c,c)
| c = c ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_102,plain,
( ~ minsol_model_ub(sK3,sK4,sK5)
| ~ minsol_model_max(sK3,sK4,sK5) ),
inference(prop_impl_just,[status(thm)],[c_75]) ).
cnf(c_103,plain,
( ~ minsol_model_max(sK3,sK4,sK5)
| ~ minsol_model_ub(sK3,sK4,sK5) ),
inference(renaming,[status(thm)],[c_102]) ).
cnf(c_104,plain,
( minsol_model_ub(sK3,sK4,sK5)
| minsol_model_max(sK3,sK4,sK5) ),
inference(prop_impl_just,[status(thm)],[c_76]) ).
cnf(c_105,plain,
( minsol_model_max(sK3,sK4,sK5)
| minsol_model_ub(sK3,sK4,sK5) ),
inference(renaming,[status(thm)],[c_104]) ).
cnf(c_128,plain,
( model_max(X0,X1,X2)
| ~ minsol_model_max(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_70]) ).
cnf(c_129,plain,
( ~ minsol_model_max(X0,X1,X2)
| model_max(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_128]) ).
cnf(c_134,plain,
( model_ub(X0,X1,X2)
| ~ minsol_model_ub(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_74]) ).
cnf(c_135,plain,
( ~ minsol_model_ub(X0,X1,X2)
| model_ub(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_134]) ).
cnf(c_547,plain,
( X0 != sK5
| X1 != sK3
| X2 != sK4
| ~ lesseq(X0,sK1(X1,X2,X0))
| ~ model_max(X1,X2,X0)
| ~ minsol_model_ub(sK3,sK4,sK5) ),
inference(resolution_lifted,[status(thm)],[c_67,c_103]) ).
cnf(c_548,plain,
( ~ lesseq(sK5,sK1(sK3,sK4,sK5))
| ~ model_max(sK3,sK4,sK5)
| ~ minsol_model_ub(sK3,sK4,sK5) ),
inference(unflattening,[status(thm)],[c_547]) ).
cnf(c_572,plain,
( X0 != sK3
| X1 != sK4
| X2 != sK5
| ~ model_max(X0,X1,X2)
| ~ minsol_model_ub(sK3,sK4,sK5)
| model_max(X0,X1,sK1(X0,X1,X2)) ),
inference(resolution_lifted,[status(thm)],[c_68,c_103]) ).
cnf(c_573,plain,
( ~ model_max(sK3,sK4,sK5)
| ~ minsol_model_ub(sK3,sK4,sK5)
| model_max(sK3,sK4,sK1(sK3,sK4,sK5)) ),
inference(unflattening,[status(thm)],[c_572]) ).
cnf(c_583,plain,
( X0 != sK3
| X1 != sK4
| X2 != sK5
| model_max(X0,X1,X2)
| minsol_model_ub(sK3,sK4,sK5) ),
inference(resolution_lifted,[status(thm)],[c_129,c_105]) ).
cnf(c_584,plain,
( model_max(sK3,sK4,sK5)
| minsol_model_ub(sK3,sK4,sK5) ),
inference(unflattening,[status(thm)],[c_583]) ).
cnf(c_591,plain,
( X0 != sK3
| X1 != sK4
| X2 != sK5
| ~ model_max(X0,X1,X3)
| minsol_model_ub(sK3,sK4,sK5)
| lesseq(X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_69,c_105]) ).
cnf(c_592,plain,
( ~ model_max(sK3,sK4,X0)
| minsol_model_ub(sK3,sK4,sK5)
| lesseq(sK5,X0) ),
inference(unflattening,[status(thm)],[c_591]) ).
cnf(c_646,plain,
( X0 != sK5
| X1 != sK3
| X2 != sK4
| ~ lesseq(X0,sK2(X1,X2,X0))
| ~ model_ub(X1,X2,X0)
| ~ model_max(sK3,sK4,sK5)
| model_max(sK3,sK4,sK1(sK3,sK4,sK5)) ),
inference(resolution_lifted,[status(thm)],[c_71,c_573]) ).
cnf(c_647,plain,
( ~ lesseq(sK5,sK2(sK3,sK4,sK5))
| ~ model_max(sK3,sK4,sK5)
| ~ model_ub(sK3,sK4,sK5)
| model_max(sK3,sK4,sK1(sK3,sK4,sK5)) ),
inference(unflattening,[status(thm)],[c_646]) ).
cnf(c_660,plain,
( X0 != sK5
| X1 != sK3
| X2 != sK4
| ~ lesseq(X0,sK2(X1,X2,X0))
| ~ lesseq(sK5,sK1(sK3,sK4,sK5))
| ~ model_ub(X1,X2,X0)
| ~ model_max(sK3,sK4,sK5) ),
inference(resolution_lifted,[status(thm)],[c_71,c_548]) ).
cnf(c_661,plain,
( ~ lesseq(sK5,sK1(sK3,sK4,sK5))
| ~ lesseq(sK5,sK2(sK3,sK4,sK5))
| ~ model_max(sK3,sK4,sK5)
| ~ model_ub(sK3,sK4,sK5) ),
inference(unflattening,[status(thm)],[c_660]) ).
cnf(c_728,plain,
( X0 != sK3
| X1 != sK4
| X2 != sK5
| model_ub(X0,X1,X2)
| model_max(sK3,sK4,sK5) ),
inference(resolution_lifted,[status(thm)],[c_135,c_584]) ).
cnf(c_729,plain,
( model_max(sK3,sK4,sK5)
| model_ub(sK3,sK4,sK5) ),
inference(unflattening,[status(thm)],[c_728]) ).
cnf(c_799,plain,
X0 = X0,
theory(equality) ).
cnf(c_801,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_802,plain,
( X0 != X1
| X2 != X3
| ~ lesseq(X1,X3)
| lesseq(X0,X2) ),
theory(equality) ).
cnf(c_803,plain,
( X0 != X1
| X2 != X3
| sum(X0,X2) = sum(X1,X3) ),
theory(equality) ).
cnf(c_804,plain,
( X0 != X1
| ~ ub(X2,X3,X1)
| ub(X2,X3,X0) ),
theory(equality) ).
cnf(c_805,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ model_max(X1,X3,X5)
| model_max(X0,X2,X4) ),
theory(equality) ).
cnf(c_1525,plain,
( max(X0,X1) = X0
| lesseq(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_57]) ).
cnf(c_1581,plain,
( max(X0,X1) = X0
| max(X0,X1) = X1 ),
inference(superposition,[status(thm)],[c_1525,c_58]) ).
cnf(c_1741,plain,
lesseq(sum(c,max(X0,X1)),sum(c,max(X0,X1))),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1748,plain,
( ~ lesseq(sum(c,max(X0,X1)),X2)
| ~ lesseq(X2,X3)
| lesseq(sum(c,max(X0,X1)),X3) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1755,plain,
( ~ lesseq(sum(c,max(X0,X1)),sum(c,X2))
| model_max(X0,X1,sum(c,X2)) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_1756,plain,
( ~ lesseq(max(X0,X1),X2)
| lesseq(sum(c,max(X0,X1)),sum(c,X2)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_1851,plain,
( ~ model_max(sK3,sK4,sK5)
| lesseq(sum(c,max(sK3,sK4)),sK5) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_1880,plain,
( ~ lesseq(sK5,sK2(sK3,sK4,sK5))
| ~ model_ub(sK3,sK4,sK5)
| minsol_model_ub(sK3,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_1881,plain,
( ~ model_ub(sK3,sK4,sK5)
| model_ub(sK3,sK4,sK2(sK3,sK4,sK5))
| minsol_model_ub(sK3,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_1912,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sK5)
| model_max(sK3,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_1927,plain,
( ~ lesseq(sum(c,X0),sK5)
| ~ ub(sK3,sK4,X0)
| model_ub(sK3,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_2050,plain,
model_max(X0,X1,sum(c,max(X0,X1))),
inference(superposition,[status(thm)],[c_49,c_62]) ).
cnf(c_2329,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sum(c,X0))
| model_max(sK3,sK4,sum(c,X0)) ),
inference(instantiation,[status(thm)],[c_1755]) ).
cnf(c_2533,plain,
( ~ lesseq(sum(c,max(X0,X1)),sum(c,X2))
| ~ lesseq(sum(c,X2),X3)
| lesseq(sum(c,max(X0,X1)),X3) ),
inference(instantiation,[status(thm)],[c_1748]) ).
cnf(c_2720,plain,
sum(c,max(X0,X1)) = sum(c,max(X0,X1)),
inference(instantiation,[status(thm)],[c_799]) ).
cnf(c_2910,plain,
sK3 = sK3,
inference(instantiation,[status(thm)],[c_799]) ).
cnf(c_3184,plain,
( lesseq(sK5,sum(c,max(sK3,sK4)))
| minsol_model_ub(sK3,sK4,sK5) ),
inference(superposition,[status(thm)],[c_2050,c_592]) ).
cnf(c_3204,plain,
( max(sK3,sK4) = sK3
| lesseq(sK5,sum(c,sK4))
| minsol_model_ub(sK3,sK4,sK5) ),
inference(superposition,[status(thm)],[c_1581,c_3184]) ).
cnf(c_3205,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sK5)
| sum(c,max(sK3,sK4)) = sK5
| minsol_model_ub(sK3,sK4,sK5) ),
inference(superposition,[status(thm)],[c_3184,c_51]) ).
cnf(c_3604,plain,
( ~ model_max(sK3,sK4,X0)
| lesseq(sum(c,max(sK3,sK4)),X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_3612,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sum(c,X0))
| ~ lesseq(sum(c,X0),X1)
| lesseq(sum(c,max(sK3,sK4)),X1) ),
inference(instantiation,[status(thm)],[c_2533]) ).
cnf(c_4450,plain,
( ~ lesseq(X0,sK1(sK3,sK4,sK5))
| ~ lesseq(sK5,X0)
| lesseq(sK5,sK1(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_6134,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sum(c,max(sK3,sK4)))
| model_max(sK3,sK4,sum(c,max(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_2329]) ).
cnf(c_6135,plain,
lesseq(sum(c,max(sK3,sK4)),sum(c,max(sK3,sK4))),
inference(instantiation,[status(thm)],[c_1741]) ).
cnf(c_6139,plain,
( ~ lesseq(max(sK3,sK4),X0)
| lesseq(sum(c,max(sK3,sK4)),sum(c,X0)) ),
inference(instantiation,[status(thm)],[c_1756]) ).
cnf(c_6316,plain,
( ~ lesseq(summation(X0),summation(sK5))
| lesseq(X0,sK5) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_6320,plain,
( X0 != X1
| sK5 != X2
| ~ lesseq(X1,X2)
| lesseq(X0,sK5) ),
inference(instantiation,[status(thm)],[c_802]) ).
cnf(c_6329,plain,
( ~ model_ub(X0,X1,sK5)
| lesseq(sum(c,sK0(X0,X1,sK5)),sK5) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_6720,plain,
sum(c,max(sK3,sK4)) = sum(c,max(sK3,sK4)),
inference(instantiation,[status(thm)],[c_2720]) ).
cnf(c_7026,plain,
( ~ lesseq(X0,sK5)
| ~ lesseq(sK5,X0)
| sK5 = X0 ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_7029,plain,
sK5 = sK5,
inference(instantiation,[status(thm)],[c_799]) ).
cnf(c_7445,plain,
( ~ lesseq(sum(c,X0),X1)
| ~ lesseq(X1,X2)
| lesseq(sum(c,X0),X2) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_8290,plain,
lesseq(summation(X0),summation(X0)),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_11351,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sK1(sK3,sK4,sK5))
| ~ lesseq(sK5,sum(c,max(sK3,sK4)))
| lesseq(sK5,sK1(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_4450]) ).
cnf(c_11354,plain,
( ~ model_max(sK3,sK4,sK1(sK3,sK4,sK5))
| lesseq(sum(c,max(sK3,sK4)),sK1(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_3604]) ).
cnf(c_11876,plain,
( X0 != X1
| sK5 != X2
| ~ lesseq(X2,X1)
| lesseq(sK5,X0) ),
inference(instantiation,[status(thm)],[c_802]) ).
cnf(c_11885,plain,
( ~ model_ub(X0,X1,X2)
| ~ minsol_model_ub(X0,X1,sK5)
| lesseq(sK5,X2) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_11975,plain,
sK4 = sK4,
inference(instantiation,[status(thm)],[c_799]) ).
cnf(c_12228,plain,
( ~ lesseq(summation(X0),summation(sK3))
| lesseq(X0,sK3) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_12229,plain,
( lesseq(X0,sK3)
| lesseq(sK3,X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_12237,plain,
( ~ lesseq(sum(X0,X1),sum(X0,sK3))
| lesseq(X1,sK3) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_12456,plain,
( ~ lesseq(sum(c,max(X0,X1)),sK5)
| ~ lesseq(sK5,sum(c,max(X0,X1)))
| sK5 = sum(c,max(X0,X1)) ),
inference(instantiation,[status(thm)],[c_7026]) ).
cnf(c_13326,plain,
( ~ model_ub(sK3,sK4,sK5)
| lesseq(sum(c,sK0(sK3,sK4,sK5)),sK5) ),
inference(instantiation,[status(thm)],[c_6329]) ).
cnf(c_26064,plain,
( ~ lesseq(summation(sK5),summation(sK5))
| lesseq(sK5,sK5) ),
inference(instantiation,[status(thm)],[c_6316]) ).
cnf(c_26065,plain,
lesseq(summation(sK5),summation(sK5)),
inference(instantiation,[status(thm)],[c_8290]) ).
cnf(c_26863,plain,
( X0 != X1
| sK4 != X1
| sK4 = X0 ),
inference(instantiation,[status(thm)],[c_801]) ).
cnf(c_28339,plain,
( X0 != X1
| sK5 != sK5
| ~ lesseq(X1,sK5)
| lesseq(X0,sK5) ),
inference(instantiation,[status(thm)],[c_6320]) ).
cnf(c_29203,plain,
( ~ lesseq(X0,max(sK3,sK4))
| ~ lesseq(X1,max(sK3,sK4))
| ub(X0,X1,max(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_29224,plain,
( ~ lesseq(X0,sK3)
| max(sK3,X0) = sK3 ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_30654,plain,
( ~ lesseq(sum(c,sK0(sK3,sK4,sK5)),sK5)
| ~ lesseq(sK5,X0)
| lesseq(sum(c,sK0(sK3,sK4,sK5)),X0) ),
inference(instantiation,[status(thm)],[c_7445]) ).
cnf(c_31305,plain,
( ~ lesseq(sK3,X0)
| ~ lesseq(sK4,X0)
| ub(sK3,sK4,X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_32254,plain,
( ~ lesseq(X0,sK3)
| lesseq(summation(X0),summation(sK3)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_32261,plain,
( ~ lesseq(summation(sK3),summation(sK3))
| lesseq(sK3,sK3) ),
inference(instantiation,[status(thm)],[c_12228]) ).
cnf(c_32262,plain,
lesseq(summation(sK3),summation(sK3)),
inference(instantiation,[status(thm)],[c_8290]) ).
cnf(c_35210,plain,
( ~ lesseq(summation(X0),summation(sK4))
| lesseq(X0,sK4) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_35244,plain,
( lesseq(sK3,sK4)
| lesseq(sK4,sK3) ),
inference(instantiation,[status(thm)],[c_12229]) ).
cnf(c_37331,plain,
( ~ lesseq(sum(c,X0),sum(c,sK3))
| lesseq(X0,sK3) ),
inference(instantiation,[status(thm)],[c_12237]) ).
cnf(c_37338,plain,
( ~ lesseq(max(sK3,sK4),sK3)
| lesseq(sum(c,max(sK3,sK4)),sum(c,sK3)) ),
inference(instantiation,[status(thm)],[c_6139]) ).
cnf(c_39744,plain,
( X0 != sK4
| sK4 != sK4
| sK4 = X0 ),
inference(instantiation,[status(thm)],[c_26863]) ).
cnf(c_41095,plain,
( ~ lesseq(X0,max(sK3,sK4))
| ~ lesseq(sK3,max(sK3,sK4))
| ub(sK3,X0,max(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_29203]) ).
cnf(c_41097,plain,
( lesseq(max(sK3,sK4),sK3)
| lesseq(sK3,max(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_12229]) ).
cnf(c_43184,plain,
( X0 != X1
| sK5 != sK5
| ~ lesseq(sK5,X1)
| lesseq(sK5,X0) ),
inference(instantiation,[status(thm)],[c_11876]) ).
cnf(c_43588,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sK5)
| ~ lesseq(sK5,sum(c,max(sK3,sK4)))
| sK5 = sum(c,max(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_12456]) ).
cnf(c_50350,plain,
( ~ lesseq(sK3,sK4)
| max(sK3,sK4) = sK4 ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_55862,plain,
( ~ model_ub(sK3,sK4,X0)
| ~ minsol_model_ub(sK3,sK4,sK5)
| lesseq(sK5,X0) ),
inference(instantiation,[status(thm)],[c_11885]) ).
cnf(c_56550,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sum(c,sK3))
| ~ lesseq(sum(c,sK3),X0)
| lesseq(sum(c,max(sK3,sK4)),X0) ),
inference(instantiation,[status(thm)],[c_3612]) ).
cnf(c_67968,plain,
( ~ lesseq(sum(c,sK0(sK3,sK4,sK5)),sK5)
| ~ lesseq(sK5,sum(c,sK3))
| lesseq(sum(c,sK0(sK3,sK4,sK5)),sum(c,sK3)) ),
inference(instantiation,[status(thm)],[c_30654]) ).
cnf(c_67969,plain,
( ~ lesseq(sum(c,sK0(sK3,sK4,sK5)),sum(c,sK3))
| lesseq(sK0(sK3,sK4,sK5),sK3) ),
inference(instantiation,[status(thm)],[c_37331]) ).
cnf(c_68357,plain,
( ~ lesseq(summation(sK4),summation(sK4))
| lesseq(sK4,sK4) ),
inference(instantiation,[status(thm)],[c_35210]) ).
cnf(c_68358,plain,
lesseq(summation(sK4),summation(sK4)),
inference(instantiation,[status(thm)],[c_8290]) ).
cnf(c_68787,plain,
( ~ lesseq(sK3,max(sK3,sK4))
| ~ lesseq(sK4,max(sK3,sK4))
| ub(sK3,sK4,max(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_41095]) ).
cnf(c_68930,plain,
( ~ lesseq(sK4,sK3)
| lesseq(summation(sK4),summation(sK3)) ),
inference(instantiation,[status(thm)],[c_32254]) ).
cnf(c_68934,plain,
( ~ lesseq(sK4,sK3)
| max(sK3,sK4) = sK3 ),
inference(instantiation,[status(thm)],[c_29224]) ).
cnf(c_69903,plain,
( ~ lesseq(sK3,sK3)
| ~ lesseq(sK4,sK3)
| ub(sK3,sK4,sK3) ),
inference(instantiation,[status(thm)],[c_31305]) ).
cnf(c_71004,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sK5)
| ~ ub(sK3,sK4,max(sK3,sK4))
| model_ub(sK3,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_1927]) ).
cnf(c_85528,plain,
( ~ lesseq(summation(sK4),summation(sK3))
| lesseq(sK4,sK3) ),
inference(instantiation,[status(thm)],[c_12228]) ).
cnf(c_90656,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sum(c,sK3))
| ~ lesseq(sum(c,sK3),sK5)
| lesseq(sum(c,max(sK3,sK4)),sK5) ),
inference(instantiation,[status(thm)],[c_56550]) ).
cnf(c_97281,plain,
( ~ model_ub(sK3,sK4,sum(c,max(sK3,sK4)))
| ~ minsol_model_ub(sK3,sK4,sK5)
| lesseq(sK5,sum(c,max(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_55862]) ).
cnf(c_101603,plain,
( ~ lesseq(sum(c,max(X0,X1)),X2)
| ~ lesseq(X2,X3)
| lesseq(sum(c,max(X0,X1)),X3) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_101611,plain,
( ~ lesseq(sum(c,X0),sum(c,X0))
| ~ ub(X1,X2,X0)
| model_ub(X1,X2,sum(c,X0)) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_101615,plain,
( ~ lesseq(sum(c,X0),X1)
| ~ lesseq(X1,X2)
| lesseq(sum(c,X0),X2) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_101718,plain,
( ~ lesseq(sum(c,X0),sum(c,X1))
| ~ lesseq(sum(c,X1),X2)
| lesseq(sum(c,X0),X2) ),
inference(instantiation,[status(thm)],[c_101615]) ).
cnf(c_101892,plain,
( X0 != X1
| sK3 != X2
| ~ lesseq(X1,X2)
| lesseq(X0,sK3) ),
inference(instantiation,[status(thm)],[c_802]) ).
cnf(c_101893,plain,
( ~ lesseq(X0,X1)
| ~ lesseq(X1,sK3)
| lesseq(X0,sK3) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_101896,plain,
( ~ lesseq(sum(X0,X1),sum(X0,sK3))
| lesseq(X1,sK3) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_102127,plain,
( ~ lesseq(sum(c,X0),sum(c,sK0(sK3,sK4,sK5)))
| ~ lesseq(sum(c,sK0(sK3,sK4,sK5)),sK5)
| lesseq(sum(c,X0),sK5) ),
inference(instantiation,[status(thm)],[c_101718]) ).
cnf(c_103218,plain,
( ~ lesseq(sum(c,max(X0,X1)),sum(c,sK3))
| lesseq(max(X0,X1),sK3) ),
inference(instantiation,[status(thm)],[c_101896]) ).
cnf(c_103607,plain,
( X0 != X1
| sK3 != sK3
| ~ lesseq(X1,sK3)
| lesseq(X0,sK3) ),
inference(instantiation,[status(thm)],[c_101892]) ).
cnf(c_105660,plain,
( ~ lesseq(sum(X0,sK3),sum(X0,X1))
| lesseq(sK3,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_108132,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sK5)
| ~ lesseq(sK5,X0)
| lesseq(sum(c,max(sK3,sK4)),X0) ),
inference(instantiation,[status(thm)],[c_101603]) ).
cnf(c_108278,plain,
( ~ lesseq(X0,sK3)
| ~ lesseq(sK4,X0)
| lesseq(sK4,sK3) ),
inference(instantiation,[status(thm)],[c_101893]) ).
cnf(c_111122,plain,
( ~ model_ub(sK3,sK4,sK2(sK3,sK4,sK5))
| lesseq(sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5))),sK2(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_112536,plain,
( X0 != sK3
| sK3 != sK3
| ~ lesseq(sK3,sK3)
| lesseq(X0,sK3) ),
inference(instantiation,[status(thm)],[c_103607]) ).
cnf(c_116150,plain,
( ~ lesseq(sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5))),sK2(sK3,sK4,sK5))
| ~ lesseq(sum(c,X0),sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5))))
| lesseq(sum(c,X0),sK2(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_101718]) ).
cnf(c_116247,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sum(c,sK3))
| lesseq(max(sK3,sK4),sK3) ),
inference(instantiation,[status(thm)],[c_103218]) ).
cnf(c_116417,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sK5)
| ~ lesseq(sK5,sum(c,X0))
| lesseq(sum(c,max(sK3,sK4)),sum(c,X0)) ),
inference(instantiation,[status(thm)],[c_108132]) ).
cnf(c_119382,plain,
( max(sK3,X0) != sK3
| sK3 != sK3
| ~ lesseq(sK3,sK3)
| lesseq(max(sK3,X0),sK3) ),
inference(instantiation,[status(thm)],[c_112536]) ).
cnf(c_122733,plain,
( ~ lesseq(sum(c,sK3),sum(c,sK0(sK3,sK4,sK5)))
| ~ lesseq(sum(c,sK0(sK3,sK4,sK5)),sK5)
| lesseq(sum(c,sK3),sK5) ),
inference(instantiation,[status(thm)],[c_102127]) ).
cnf(c_123772,plain,
( ~ lesseq(max(sK3,sK4),sK3)
| ~ lesseq(sK4,max(sK3,sK4))
| lesseq(sK4,sK3) ),
inference(instantiation,[status(thm)],[c_108278]) ).
cnf(c_127684,plain,
( ~ lesseq(sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5))),sK2(sK3,sK4,sK5))
| ~ lesseq(sum(c,sK3),sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5))))
| lesseq(sum(c,sK3),sK2(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_116150]) ).
cnf(c_127691,plain,
( ~ lesseq(sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5))),sK2(sK3,sK4,sK5))
| ~ lesseq(sum(c,sK4),sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5))))
| lesseq(sum(c,sK4),sK2(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_116150]) ).
cnf(c_127755,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sK5)
| ~ lesseq(sK5,sum(c,sK3))
| lesseq(sum(c,max(sK3,sK4)),sum(c,sK3)) ),
inference(instantiation,[status(thm)],[c_116417]) ).
cnf(c_129710,plain,
( ~ lesseq(sK0(sK3,sK4,sK5),sK3)
| ~ lesseq(sK4,sK0(sK3,sK4,sK5))
| lesseq(sK4,sK3) ),
inference(instantiation,[status(thm)],[c_108278]) ).
cnf(c_150184,plain,
( max(sK3,sK4) != sK3
| sK3 != sK3
| ~ lesseq(sK3,sK3)
| lesseq(max(sK3,sK4),sK3) ),
inference(instantiation,[status(thm)],[c_119382]) ).
cnf(c_191654,plain,
( ~ lesseq(sum(X0,sK3),sum(X0,max(sK3,sK4)))
| lesseq(sK3,max(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_105660]) ).
cnf(c_191661,plain,
( ~ lesseq(sum(c,sK3),sum(c,max(sK3,sK4)))
| lesseq(sK3,max(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_191654]) ).
cnf(c_196409,plain,
sK2(X0,X1,X2) = sK2(X0,X1,X2),
inference(instantiation,[status(thm)],[c_799]) ).
cnf(c_203391,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sum(c,max(sK3,sK4)))
| ~ ub(sK3,sK4,max(sK3,sK4))
| model_ub(sK3,sK4,sum(c,max(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_101611]) ).
cnf(c_259750,plain,
sK2(sK3,sK4,sK5) = sK2(sK3,sK4,sK5),
inference(instantiation,[status(thm)],[c_196409]) ).
cnf(c_284847,plain,
( X0 != X1
| sK4 != X1
| X0 = sK4 ),
inference(instantiation,[status(thm)],[c_801]) ).
cnf(c_312368,plain,
( X0 != max(sK3,sK4)
| sK4 != max(sK3,sK4)
| X0 = sK4 ),
inference(instantiation,[status(thm)],[c_284847]) ).
cnf(c_347028,plain,
model_max(X0,X1,sum(c,max(X0,X1))),
inference(superposition,[status(thm)],[c_49,c_62]) ).
cnf(c_348967,plain,
( lesseq(sK5,sum(c,max(sK3,sK4)))
| minsol_model_ub(sK3,sK4,sK5) ),
inference(superposition,[status(thm)],[c_347028,c_592]) ).
cnf(c_348978,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sK5)
| sum(c,max(sK3,sK4)) = sK5
| minsol_model_ub(sK3,sK4,sK5) ),
inference(superposition,[status(thm)],[c_348967,c_51]) ).
cnf(c_349350,plain,
( sum(c,max(sK3,sK4)) = sK5
| minsol_model_ub(sK3,sK4,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_348978,c_584,c_1851,c_3205]) ).
cnf(c_349356,plain,
( sum(c,max(sK3,sK4)) = sK5
| model_ub(sK3,sK4,sK5) ),
inference(superposition,[status(thm)],[c_349350,c_74]) ).
cnf(c_536849,plain,
( sum(c,X0) != X1
| X2 != X3
| ~ lesseq(X1,X3)
| lesseq(sum(c,X0),X2) ),
inference(instantiation,[status(thm)],[c_802]) ).
cnf(c_536898,plain,
( model_max(sK3,sK4,sK5)
| model_ub(sK3,sK4,sK5) ),
inference(superposition,[status(thm)],[c_584,c_74]) ).
cnf(c_536906,plain,
( max(X0,X1) = X0
| lesseq(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_57]) ).
cnf(c_537100,plain,
( max(X0,X1) = X0
| max(X0,X1) = X1 ),
inference(superposition,[status(thm)],[c_536906,c_58]) ).
cnf(c_537101,plain,
( max(X0,X1) = X0
| max(X1,X0) = X1 ),
inference(superposition,[status(thm)],[c_536906,c_57]) ).
cnf(c_537192,plain,
( ~ lesseq(X0,X1)
| lesseq(X0,X2)
| lesseq(X2,X1) ),
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_537301,plain,
( sum(c,X0) != sum(X1,X2)
| X3 != X4
| ~ lesseq(sum(X1,X2),X4)
| lesseq(sum(c,X0),X3) ),
inference(instantiation,[status(thm)],[c_536849]) ).
cnf(c_537408,plain,
( X0 != c
| X1 != X2
| sum(X0,X1) = sum(c,X2) ),
inference(instantiation,[status(thm)],[c_803]) ).
cnf(c_537782,plain,
( X0 != X1
| sK4 != X2
| ~ lesseq(X2,X1)
| lesseq(sK4,X0) ),
inference(instantiation,[status(thm)],[c_802]) ).
cnf(c_538089,plain,
model_max(X0,X1,sum(c,max(X0,X1))),
inference(superposition,[status(thm)],[c_49,c_62]) ).
cnf(c_538243,plain,
( ~ model_max(X0,X1,X2)
| lesseq(sum(c,max(X0,X1)),X3)
| lesseq(X3,X2) ),
inference(superposition,[status(thm)],[c_63,c_537192]) ).
cnf(c_540175,plain,
( sum(c,X0) != sum(c,max(sK3,sK4))
| X1 != sK5
| ~ lesseq(sum(c,max(sK3,sK4)),sK5)
| lesseq(sum(c,X0),X1) ),
inference(instantiation,[status(thm)],[c_537301]) ).
cnf(c_540233,plain,
( lesseq(sK5,sum(c,max(sK3,sK4)))
| minsol_model_ub(sK3,sK4,sK5) ),
inference(superposition,[status(thm)],[c_538089,c_592]) ).
cnf(c_540299,plain,
( max(sK4,sK3) = sK4
| lesseq(sK5,sum(c,sK3))
| minsol_model_ub(sK3,sK4,sK5) ),
inference(superposition,[status(thm)],[c_537101,c_540233]) ).
cnf(c_540302,plain,
( max(sK3,sK4) = sK3
| lesseq(sK5,sum(c,sK4))
| minsol_model_ub(sK3,sK4,sK5) ),
inference(superposition,[status(thm)],[c_537100,c_540233]) ).
cnf(c_544430,plain,
( X0 != X1
| sK3 != X1
| sK3 = X0 ),
inference(instantiation,[status(thm)],[c_801]) ).
cnf(c_547490,plain,
( X0 != max(sK3,sK4)
| c != c
| sum(c,X0) = sum(c,max(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_537408]) ).
cnf(c_547823,plain,
( X0 != X1
| sK4 != sK4
| ~ lesseq(sK4,X1)
| lesseq(sK4,X0) ),
inference(instantiation,[status(thm)],[c_537782]) ).
cnf(c_561319,plain,
max(sK3,sK4) = max(sK3,sK4),
inference(instantiation,[status(thm)],[c_799]) ).
cnf(c_564899,plain,
( sum(c,max(sK3,sK4)) != sK5
| sum(c,X0) != sum(c,max(sK3,sK4))
| ~ lesseq(sum(c,max(sK3,sK4)),sK5)
| lesseq(sum(c,X0),sum(c,max(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_540175]) ).
cnf(c_570408,plain,
( X0 != sK3
| sK3 != sK3
| sK3 = X0 ),
inference(instantiation,[status(thm)],[c_544430]) ).
cnf(c_585446,plain,
( max(sK3,X0) != sK3
| sK3 != sK3
| sK3 = max(sK3,X0) ),
inference(instantiation,[status(thm)],[c_570408]) ).
cnf(c_613988,plain,
( max(sK3,sK4) != sK3
| sK3 != sK3
| sK3 = max(sK3,sK4) ),
inference(instantiation,[status(thm)],[c_585446]) ).
cnf(c_615009,plain,
( X0 != X1
| sK3 != X2
| sK4 != X3
| ~ model_max(X2,X3,X1)
| model_max(sK3,sK4,X0) ),
inference(instantiation,[status(thm)],[c_805]) ).
cnf(c_620524,plain,
( X0 != X1
| sK3 != X2
| sK4 != sK4
| ~ model_max(X2,sK4,X1)
| model_max(sK3,sK4,X0) ),
inference(instantiation,[status(thm)],[c_615009]) ).
cnf(c_625683,plain,
( sum(c,max(sK3,sK4)) != sK5
| sum(c,sK3) != sum(c,max(sK3,sK4))
| ~ lesseq(sum(c,max(sK3,sK4)),sK5)
| lesseq(sum(c,sK3),sum(c,max(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_564899]) ).
cnf(c_626454,plain,
( c != c
| sK3 != max(sK3,sK4)
| sum(c,sK3) = sum(c,max(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_547490]) ).
cnf(c_635430,plain,
( X0 != X1
| sK3 != X2
| sK4 != X3
| ~ model_max(X2,X3,X1)
| model_max(sK3,sK4,X0) ),
inference(instantiation,[status(thm)],[c_805]) ).
cnf(c_635436,plain,
( sK2(sK3,sK4,sK5) != X0
| sK5 != X1
| ~ lesseq(X1,X0)
| lesseq(sK5,sK2(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_802]) ).
cnf(c_635437,plain,
( ~ lesseq(X0,sK2(sK3,sK4,sK5))
| ~ lesseq(sK5,X0)
| lesseq(sK5,sK2(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_635478,plain,
( X0 != X1
| sK3 != X2
| sK4 != sK4
| ~ model_max(X2,sK4,X1)
| model_max(sK3,sK4,X0) ),
inference(instantiation,[status(thm)],[c_635430]) ).
cnf(c_635480,plain,
( X0 != X1
| sK4 != X1
| sK4 = X0 ),
inference(instantiation,[status(thm)],[c_801]) ).
cnf(c_635528,plain,
( X0 != X1
| sK5 != X2
| ~ lesseq(X2,X1)
| lesseq(sK5,X0) ),
inference(instantiation,[status(thm)],[c_802]) ).
cnf(c_635529,plain,
( ~ lesseq(X0,X1)
| ~ lesseq(sK5,X0)
| lesseq(sK5,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_635623,plain,
( max(sK3,sK4) != X0
| X1 != X2
| ~ lesseq(X0,X2)
| lesseq(max(sK3,sK4),X1) ),
inference(instantiation,[status(thm)],[c_802]) ).
cnf(c_635627,plain,
( ~ lesseq(sum(X0,max(sK3,sK4)),sum(X0,X1))
| lesseq(max(sK3,sK4),X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_635656,plain,
( X0 != X1
| sK4 != X2
| ~ lesseq(X2,X1)
| lesseq(sK4,X0) ),
inference(instantiation,[status(thm)],[c_802]) ).
cnf(c_635661,plain,
( ~ ub(X0,sK4,X1)
| lesseq(sK4,X1) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_635719,plain,
( X0 != sK4
| sK4 != sK4
| sK4 = X0 ),
inference(instantiation,[status(thm)],[c_635480]) ).
cnf(c_635793,plain,
( sum(c,max(sK3,sK4)) != X0
| X1 != X0
| sum(c,max(sK3,sK4)) = X1 ),
inference(instantiation,[status(thm)],[c_801]) ).
cnf(c_635804,plain,
( sK3 != X2
| X0 != X1
| ~ model_max(X2,sK4,X1)
| model_max(sK3,sK4,X0) ),
inference(global_subsumption_just,[status(thm)],[c_635478,c_11975,c_620524]) ).
cnf(c_635805,plain,
( X0 != X1
| sK3 != X2
| ~ model_max(X2,sK4,X1)
| model_max(sK3,sK4,X0) ),
inference(renaming,[status(thm)],[c_635804]) ).
cnf(c_636907,plain,
( X0 != X1
| sK3 != sK3
| ~ model_max(sK3,sK4,X1)
| model_max(sK3,sK4,X0) ),
inference(instantiation,[status(thm)],[c_635805]) ).
cnf(c_637225,plain,
( X0 != sK4
| sK4 = X0 ),
inference(global_subsumption_just,[status(thm)],[c_635719,c_11975,c_39744]) ).
cnf(c_637232,plain,
( max(X0,sK4) != sK4
| sK4 = max(X0,sK4) ),
inference(instantiation,[status(thm)],[c_637225]) ).
cnf(c_637328,plain,
( ~ ub(X0,sK4,sK0(X0,sK4,X1))
| lesseq(sK4,sK0(X0,sK4,X1)) ),
inference(instantiation,[status(thm)],[c_635661]) ).
cnf(c_637329,plain,
( ~ model_ub(X0,sK4,X1)
| ub(X0,sK4,sK0(X0,sK4,X1)) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_637346,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),X0)
| ~ lesseq(sK5,sum(c,max(sK3,sK4)))
| lesseq(sK5,X0) ),
inference(instantiation,[status(thm)],[c_635529]) ).
cnf(c_637395,plain,
( ~ ub(sK3,X0,X1)
| lesseq(sK3,X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_637665,plain,
( lesseq(sum(X0,max(sK3,sK4)),sum(X0,X1))
| lesseq(sum(X0,X1),sum(X0,max(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_637725,plain,
( ~ lesseq(sK4,X0)
| lesseq(sum(X1,sK4),sum(X1,X0)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_637865,plain,
( sum(c,max(sK3,sK4)) != sum(c,max(sK3,sK4))
| X0 != sum(c,max(sK3,sK4))
| sum(c,max(sK3,sK4)) = X0 ),
inference(instantiation,[status(thm)],[c_635793]) ).
cnf(c_638003,plain,
( X0 != X1
| sK5 != sK5
| ~ lesseq(sK5,X1)
| lesseq(sK5,X0) ),
inference(instantiation,[status(thm)],[c_635528]) ).
cnf(c_638135,plain,
( max(sK3,sK4) != sK3
| X0 != X1
| ~ lesseq(sK3,X1)
| lesseq(max(sK3,sK4),X0) ),
inference(instantiation,[status(thm)],[c_635623]) ).
cnf(c_638166,plain,
( X0 != X1
| sK4 != sK4
| ~ lesseq(sK4,X1)
| lesseq(sK4,X0) ),
inference(instantiation,[status(thm)],[c_635656]) ).
cnf(c_638937,plain,
( sK2(sK3,sK4,sK5) != X0
| sK5 != sum(c,max(sK3,sK4))
| ~ lesseq(sum(c,max(sK3,sK4)),X0)
| lesseq(sK5,sK2(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_635436]) ).
cnf(c_640835,plain,
( max(sK3,sK4) != sK4
| sK4 = max(sK3,sK4) ),
inference(instantiation,[status(thm)],[c_637232]) ).
cnf(c_640842,plain,
( X0 != sum(c,max(sK3,sK4))
| sum(c,max(sK3,sK4)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_637865,c_6720,c_637865]) ).
cnf(c_640870,plain,
( sK5 != sum(c,max(sK3,sK4))
| sum(c,max(sK3,sK4)) = sK5 ),
inference(instantiation,[status(thm)],[c_640842]) ).
cnf(c_642101,plain,
( X0 != X1
| ~ model_max(sK3,sK4,X1)
| model_max(sK3,sK4,X0) ),
inference(global_subsumption_just,[status(thm)],[c_636907,c_2910,c_636907]) ).
cnf(c_642109,plain,
( X0 != sum(c,max(sK3,sK4))
| ~ model_max(sK3,sK4,sum(c,max(sK3,sK4)))
| model_max(sK3,sK4,X0) ),
inference(instantiation,[status(thm)],[c_642101]) ).
cnf(c_643402,plain,
( X0 != X1
| ~ lesseq(sK5,X1)
| lesseq(sK5,X0) ),
inference(global_subsumption_just,[status(thm)],[c_638003,c_7029,c_43184]) ).
cnf(c_643425,plain,
( X0 != sK5
| ~ lesseq(sK5,sK5)
| lesseq(sK5,X0) ),
inference(instantiation,[status(thm)],[c_643402]) ).
cnf(c_643713,plain,
( ~ model_ub(sK3,sK4,sK2(sK3,sK4,sK5))
| ub(sK3,sK4,sK0(sK3,sK4,sK2(sK3,sK4,sK5))) ),
inference(instantiation,[status(thm)],[c_637329]) ).
cnf(c_649666,plain,
( X0 != sum(c,max(sK3,sK4))
| model_max(sK3,sK4,X0) ),
inference(global_subsumption_just,[status(thm)],[c_642109,c_6134,c_6135,c_642109]) ).
cnf(c_649693,plain,
( sK5 != sum(c,max(sK3,sK4))
| model_max(sK3,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_649666]) ).
cnf(c_649767,plain,
( ~ ub(sK3,sK4,sK0(sK3,sK4,sK2(sK3,sK4,sK5)))
| lesseq(sK4,sK0(sK3,sK4,sK2(sK3,sK4,sK5))) ),
inference(instantiation,[status(thm)],[c_637328]) ).
cnf(c_651179,plain,
( ~ lesseq(X0,sK2(sK3,sK4,sK5))
| ~ lesseq(X1,X0)
| lesseq(X1,sK2(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_652383,plain,
( X0 != X1
| ~ lesseq(sK4,X1)
| lesseq(sK4,X0) ),
inference(global_subsumption_just,[status(thm)],[c_638166,c_11975,c_547823]) ).
cnf(c_652425,plain,
( X0 != sK4
| ~ lesseq(sK4,sK4)
| lesseq(sK4,X0) ),
inference(instantiation,[status(thm)],[c_652383]) ).
cnf(c_652431,plain,
( X0 != sK3
| ~ lesseq(sK4,sK3)
| lesseq(sK4,X0) ),
inference(instantiation,[status(thm)],[c_652383]) ).
cnf(c_652435,plain,
( X0 != max(sK3,sK4)
| ~ lesseq(sK4,max(sK3,sK4))
| lesseq(sK4,X0) ),
inference(instantiation,[status(thm)],[c_652383]) ).
cnf(c_654809,plain,
( lesseq(sum(X0,max(sK3,sK4)),sum(X0,sK3))
| lesseq(sum(X0,sK3),sum(X0,max(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_637665]) ).
cnf(c_655018,plain,
( X0 != sK5
| lesseq(sK5,X0) ),
inference(global_subsumption_just,[status(thm)],[c_643425,c_26064,c_26065,c_643425]) ).
cnf(c_655045,plain,
( sum(c,max(sK3,sK4)) != sK5
| lesseq(sK5,sum(c,max(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_655018]) ).
cnf(c_655326,plain,
( ~ ub(sK3,sK4,max(sK3,sK4))
| lesseq(sK3,max(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_637395]) ).
cnf(c_656932,plain,
( ~ lesseq(sK4,sK0(sK3,sK4,sK2(sK3,sK4,sK5)))
| lesseq(sum(X0,sK4),sum(X0,sK0(sK3,sK4,sK2(sK3,sK4,sK5)))) ),
inference(instantiation,[status(thm)],[c_637725]) ).
cnf(c_656937,plain,
( ~ lesseq(sK4,sK0(sK3,sK4,sK2(sK3,sK4,sK5)))
| lesseq(sum(c,sK4),sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5)))) ),
inference(instantiation,[status(thm)],[c_656932]) ).
cnf(c_657860,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sum(c,sK3))
| ~ lesseq(sK5,sum(c,max(sK3,sK4)))
| lesseq(sK5,sum(c,sK3)) ),
inference(instantiation,[status(thm)],[c_637346]) ).
cnf(c_660288,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),X0)
| ~ lesseq(X0,sK2(sK3,sK4,sK5))
| lesseq(sum(c,max(sK3,sK4)),sK2(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_651179]) ).
cnf(c_667328,plain,
( max(sK3,sK4) != sK3
| X0 != sK3
| ~ lesseq(sK3,sK3)
| lesseq(max(sK3,sK4),X0) ),
inference(instantiation,[status(thm)],[c_638135]) ).
cnf(c_672230,plain,
( ~ lesseq(sum(X0,max(sK3,sK4)),sum(X0,sK3))
| lesseq(max(sK3,sK4),sK3) ),
inference(instantiation,[status(thm)],[c_635627]) ).
cnf(c_672593,plain,
( max(sK3,sK4) != sK3
| ~ lesseq(sK4,sK3)
| lesseq(sK4,max(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_652431]) ).
cnf(c_672709,plain,
( X0 != max(sK3,sK4)
| lesseq(sK4,X0) ),
inference(global_subsumption_just,[status(thm)],[c_652435,c_35244,c_50350,c_68357,c_68358,c_68934,c_312368,c_640835,c_652425,c_652435,c_672593]) ).
cnf(c_672753,plain,
( max(sK3,sK4) != max(sK3,sK4)
| lesseq(sK4,max(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_672709]) ).
cnf(c_672760,plain,
( sK3 != max(sK3,sK4)
| lesseq(sK4,sK3) ),
inference(instantiation,[status(thm)],[c_672709]) ).
cnf(c_700944,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sum(c,sK3))
| ~ lesseq(sum(c,sK3),sK2(sK3,sK4,sK5))
| lesseq(sum(c,max(sK3,sK4)),sK2(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_660288]) ).
cnf(c_711057,plain,
( ~ lesseq(sum(X0,sK4),sK2(sK3,sK4,sK5))
| ~ lesseq(sK5,sum(X0,sK4))
| lesseq(sK5,sK2(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_635437]) ).
cnf(c_711058,plain,
( ~ lesseq(sum(c,sK4),sK2(sK3,sK4,sK5))
| ~ lesseq(sK5,sum(c,sK4))
| lesseq(sK5,sK2(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_711057]) ).
cnf(c_712302,plain,
( lesseq(sum(c,max(sK3,sK4)),X0)
| model_ub(sK3,sK4,sK5)
| lesseq(X0,sK5) ),
inference(superposition,[status(thm)],[c_536898,c_538243]) ).
cnf(c_715264,plain,
model_ub(sK3,sK4,sK5),
inference(global_subsumption_just,[status(thm)],[c_712302,c_77,c_87,c_729,c_1851,c_2910,c_41097,c_68787,c_68934,c_71004,c_123772,c_191661,c_349356,c_561319,c_613988,c_625683,c_626454,c_672753]) ).
cnf(c_717402,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),X0)
| sK5 != sum(c,max(sK3,sK4))
| sK2(sK3,sK4,sK5) != X0 ),
inference(global_subsumption_just,[status(thm)],[c_638937,c_77,c_87,c_647,c_661,c_729,c_1851,c_2910,c_11351,c_11354,c_41097,c_68787,c_68934,c_71004,c_123772,c_191661,c_349356,c_561319,c_613988,c_625683,c_626454,c_638937,c_640870,c_649693,c_655045,c_672753]) ).
cnf(c_717403,plain,
( sK2(sK3,sK4,sK5) != X0
| sK5 != sum(c,max(sK3,sK4))
| ~ lesseq(sum(c,max(sK3,sK4)),X0) ),
inference(renaming,[status(thm)],[c_717402]) ).
cnf(c_717409,plain,
( sK2(sK3,sK4,sK5) != sK2(sK3,sK4,sK5)
| sK5 != sum(c,max(sK3,sK4))
| ~ lesseq(sum(c,max(sK3,sK4)),sK2(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_717403]) ).
cnf(c_744434,plain,
( lesseq(sK5,sum(c,sK3))
| minsol_model_ub(sK3,sK4,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_540299,c_1880,c_1881,c_2910,c_3184,c_3204,c_32261,c_32262,c_37338,c_111122,c_127691,c_150184,c_643713,c_649767,c_656937,c_657860,c_711058,c_715264]) ).
cnf(c_781161,plain,
( max(sK3,sK4) = sK3
| minsol_model_ub(sK3,sK4,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_540302,c_584,c_1851,c_68934,c_116247,c_123772,c_127755,c_561319,c_672753,c_744434]) ).
cnf(c_782799,plain,
( X0 != sK3
| max(sK3,sK4) != sK3
| lesseq(max(sK3,sK4),X0) ),
inference(global_subsumption_just,[status(thm)],[c_667328,c_32261,c_32262,c_667328]) ).
cnf(c_782800,plain,
( max(sK3,sK4) != sK3
| X0 != sK3
| lesseq(max(sK3,sK4),X0) ),
inference(renaming,[status(thm)],[c_782799]) ).
cnf(c_782841,plain,
( max(sK3,sK4) != sK3
| sK3 != sK3
| lesseq(max(sK3,sK4),sK3) ),
inference(instantiation,[status(thm)],[c_782800]) ).
cnf(c_799109,plain,
( ~ lesseq(sum(X0,X1),sum(X0,sum(c,max(X2,X3))))
| lesseq(X1,sum(c,max(X2,X3))) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_800343,plain,
( X0 != X1
| sK5 != X2
| ~ lesseq(X1,X2)
| lesseq(X0,sK5) ),
inference(instantiation,[status(thm)],[c_802]) ).
cnf(c_807110,plain,
( X0 != X1
| sK5 != sK5
| ~ lesseq(X1,sK5)
| lesseq(X0,sK5) ),
inference(instantiation,[status(thm)],[c_800343]) ).
cnf(c_813683,plain,
( ~ lesseq(X0,sK3)
| ~ lesseq(sK3,X0)
| X0 = sK3 ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_813914,plain,
( X0 != X1
| ~ ub(sK3,X2,X1)
| ub(sK3,X2,X0) ),
inference(instantiation,[status(thm)],[c_804]) ).
cnf(c_814160,plain,
( ~ lesseq(sK3,X0)
| lesseq(sum(X1,sK3),sum(X1,X0)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_814991,plain,
( X0 != X1
| ~ lesseq(X1,sK5)
| lesseq(X0,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_807110,c_7029,c_28339]) ).
cnf(c_815027,plain,
( X0 != sK5
| ~ lesseq(sK5,sK5)
| lesseq(X0,sK5) ),
inference(instantiation,[status(thm)],[c_814991]) ).
cnf(c_824627,plain,
( X0 != sK5
| lesseq(X0,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_815027,c_26064,c_26065,c_815027]) ).
cnf(c_834868,plain,
( sum(c,max(sK3,sK4)) != sK5
| lesseq(sum(c,max(sK3,sK4)),sK5) ),
inference(instantiation,[status(thm)],[c_824627]) ).
cnf(c_835649,plain,
( X0 != sK3
| ~ ub(sK3,sK4,sK3)
| ub(sK3,sK4,X0) ),
inference(instantiation,[status(thm)],[c_813914]) ).
cnf(c_835741,plain,
( ~ lesseq(sK3,max(sK3,sK4))
| lesseq(sum(X0,sK3),sum(X0,max(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_814160]) ).
cnf(c_835742,plain,
( ~ lesseq(max(sK3,sK4),sK3)
| ~ lesseq(sK3,max(sK3,sK4))
| max(sK3,sK4) = sK3 ),
inference(instantiation,[status(thm)],[c_813683]) ).
cnf(c_836085,plain,
( ~ lesseq(sum(X0,sK5),sum(X0,sum(c,max(sK3,sK4))))
| lesseq(sK5,sum(c,max(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_799109]) ).
cnf(c_845838,plain,
( ~ lesseq(max(sK3,sK4),sK3)
| max(sK3,sK4) = sK3 ),
inference(global_subsumption_just,[status(thm)],[c_835742,c_68934,c_123772,c_561319,c_672753]) ).
cnf(c_849877,plain,
( max(sK3,sK4) != sK3
| ~ ub(sK3,sK4,sK3)
| ub(sK3,sK4,max(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_835649]) ).
cnf(c_849922,plain,
lesseq(sum(X0,sK3),sum(X0,max(sK3,sK4))),
inference(global_subsumption_just,[status(thm)],[c_835741,c_32261,c_32262,c_69903,c_123772,c_561319,c_654809,c_655326,c_672230,c_672753,c_835741,c_845838,c_849877]) ).
cnf(c_850824,plain,
lesseq(sK5,sum(c,max(sK3,sK4))),
inference(global_subsumption_just,[status(thm)],[c_836085,c_3184,c_6135,c_68787,c_97281,c_191654,c_203391,c_561319,c_672753,c_849922]) ).
cnf(c_876685,plain,
( ~ model_max(sK3,sK4,X0)
| lesseq(sK5,X0) ),
inference(global_subsumption_just,[status(thm)],[c_592,c_3604,c_637346,c_850824]) ).
cnf(c_876693,plain,
( ~ model_max(sK3,sK4,sK1(sK3,sK4,sK5))
| lesseq(sK5,sK1(sK3,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_876685]) ).
cnf(c_1116217,plain,
( ~ minsol_model_ub(sK3,sK4,sK5)
| ~ model_max(sK3,sK4,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_573,c_548,c_573,c_876693]) ).
cnf(c_1116218,plain,
( ~ model_max(sK3,sK4,sK5)
| ~ minsol_model_ub(sK3,sK4,sK5) ),
inference(renaming,[status(thm)],[c_1116217]) ).
cnf(c_1116288,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),X0)
| ~ lesseq(X0,X1)
| lesseq(sum(c,max(sK3,sK4)),X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1116309,plain,
( ~ lesseq(sum(X0,X1),X2)
| ~ lesseq(X3,X1)
| lesseq(sum(X0,X3),X2) ),
inference(superposition,[status(thm)],[c_54,c_50]) ).
cnf(c_1116454,plain,
( max(X0,X1) = X0
| lesseq(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_57]) ).
cnf(c_1116711,plain,
model_max(X0,X1,sum(c,max(X0,X1))),
inference(superposition,[status(thm)],[c_49,c_62]) ).
cnf(c_1117159,plain,
( ~ model_ub(X0,X1,X2)
| lesseq(X1,sK0(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_66,c_60]) ).
cnf(c_1117218,plain,
( model_max(sK3,sK4,sK5)
| model_ub(sK3,sK4,sK5) ),
inference(superposition,[status(thm)],[c_584,c_74]) ).
cnf(c_1117265,plain,
( model_max(sK3,sK4,sK5)
| model_ub(sK3,sK4,sK5) ),
inference(resolution,[status(thm)],[c_74,c_584]) ).
cnf(c_1117266,plain,
model_ub(sK3,sK4,sK5),
inference(global_subsumption_just,[status(thm)],[c_1117218,c_77,c_87,c_729,c_1851,c_2910,c_41097,c_68787,c_68934,c_71004,c_123772,c_191661,c_349356,c_561319,c_613988,c_625683,c_626454,c_672753]) ).
cnf(c_1117268,plain,
model_ub(sK3,sK4,sK5),
inference(global_subsumption_just,[status(thm)],[c_1117265,c_77,c_87,c_729,c_1851,c_2910,c_41097,c_68787,c_68934,c_71004,c_123772,c_191661,c_349356,c_561319,c_613988,c_625683,c_626454,c_672753]) ).
cnf(c_1117578,plain,
( max(X0,X1) = X0
| max(X0,X1) = X1 ),
inference(superposition,[status(thm)],[c_1116454,c_58]) ).
cnf(c_1117614,plain,
( ~ lesseq(summation(X0),X1)
| ~ lesseq(X1,X2)
| lesseq(summation(X0),X2) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1118070,plain,
( ~ model_max(sK3,sK4,X0)
| lesseq(sK5,X0) ),
inference(global_subsumption_just,[status(thm)],[c_592,c_876685]) ).
cnf(c_1118076,plain,
lesseq(sK5,sum(c,max(sK3,sK4))),
inference(superposition,[status(thm)],[c_1116711,c_1118070]) ).
cnf(c_1118432,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sK5)
| sum(c,max(sK3,sK4)) = sK5 ),
inference(superposition,[status(thm)],[c_1118076,c_51]) ).
cnf(c_1119377,plain,
( ~ lesseq(X0,sK0(X1,X2,X3))
| ~ model_ub(X1,X2,X3)
| lesseq(sum(c,X0),X3) ),
inference(superposition,[status(thm)],[c_65,c_1116309]) ).
cnf(c_1119916,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sK5)
| ~ lesseq(sK5,X0)
| lesseq(sum(c,max(sK3,sK4)),X0) ),
inference(instantiation,[status(thm)],[c_1116288]) ).
cnf(c_1124126,plain,
( ~ lesseq(summation(X0),sum(c,max(sK3,sK4)))
| ~ lesseq(sum(c,max(sK3,sK4)),X1)
| lesseq(summation(X0),X1) ),
inference(instantiation,[status(thm)],[c_1117614]) ).
cnf(c_1125137,plain,
ub(sK3,sK4,sK0(sK3,sK4,sK5)),
inference(resolution,[status(thm)],[c_66,c_1117268]) ).
cnf(c_1125184,plain,
lesseq(sK3,sK0(sK3,sK4,sK5)),
inference(resolution,[status(thm)],[c_1125137,c_61]) ).
cnf(c_1125185,plain,
lesseq(sK4,sK0(sK3,sK4,sK5)),
inference(resolution,[status(thm)],[c_1125137,c_60]) ).
cnf(c_1125200,plain,
lesseq(sum(X0,sK3),sum(X0,sK0(sK3,sK4,sK5))),
inference(resolution,[status(thm)],[c_1125184,c_54]) ).
cnf(c_1125206,plain,
lesseq(sum(c,sK3),sum(c,sK0(sK3,sK4,sK5))),
inference(instantiation,[status(thm)],[c_1125200]) ).
cnf(c_1132022,plain,
( ~ lesseq(X0,sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5))))
| ~ lesseq(sK5,X0)
| lesseq(sK5,sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5)))) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1134425,plain,
( ~ lesseq(sum(c,sK4),sK5)
| sum(c,max(sK3,sK4)) = sK5
| max(sK3,sK4) = sK3 ),
inference(superposition,[status(thm)],[c_1117578,c_1118432]) ).
cnf(c_1134864,plain,
( ~ lesseq(X0,sK0(sK3,sK4,sK2(sK3,sK4,sK5)))
| lesseq(sum(c,X0),sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5)))) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_1146826,plain,
( ~ lesseq(summation(X0),sum(c,max(sK3,sK4)))
| ~ lesseq(sum(c,max(sK3,sK4)),summation(sK3))
| lesseq(summation(X0),summation(sK3)) ),
inference(instantiation,[status(thm)],[c_1124126]) ).
cnf(c_1161966,plain,
( ~ model_ub(X0,X1,X2)
| lesseq(sum(c,X1),X2) ),
inference(superposition,[status(thm)],[c_1117159,c_1119377]) ).
cnf(c_1181233,plain,
( ~ lesseq(sum(c,sK3),sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5))))
| ~ lesseq(sK5,sum(c,sK3))
| lesseq(sK5,sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5)))) ),
inference(instantiation,[status(thm)],[c_1132022]) ).
cnf(c_1181235,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),sK5)
| ~ lesseq(sK5,sum(c,sK3))
| lesseq(sum(c,max(sK3,sK4)),sum(c,sK3)) ),
inference(instantiation,[status(thm)],[c_1119916]) ).
cnf(c_1181236,plain,
( ~ lesseq(sK5,sum(c,sK3))
| lesseq(sum(c,max(sK3,sK4)),sum(c,sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_1181235,c_77,c_87,c_729,c_1851,c_2910,c_13326,c_37338,c_41097,c_67968,c_67969,c_68787,c_68934,c_71004,c_123772,c_129710,c_191661,c_349356,c_561319,c_613988,c_625683,c_626454,c_672753,c_782841,c_1125185]) ).
cnf(c_1181240,plain,
( ~ lesseq(sK5,sum(c,sK3))
| ~ lesseq(sum(c,sK3),sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5)))) ),
inference(global_subsumption_just,[status(thm)],[c_1181233,c_77,c_87,c_729,c_1851,c_1881,c_1912,c_2910,c_3184,c_6135,c_13326,c_32261,c_32262,c_41097,c_43588,c_68787,c_68934,c_69903,c_71004,c_90656,c_97281,c_111122,c_122733,c_123772,c_127684,c_191654,c_191661,c_203391,c_259750,c_349356,c_561319,c_613988,c_625683,c_626454,c_654809,c_655326,c_672230,c_672753,c_700944,c_717409,c_835741,c_845838,c_849877,c_1116218,c_1125206,c_1181236]) ).
cnf(c_1181241,plain,
( ~ lesseq(sum(c,sK3),sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5))))
| ~ lesseq(sK5,sum(c,sK3)) ),
inference(renaming,[status(thm)],[c_1181240]) ).
cnf(c_1186667,plain,
( ~ lesseq(sK3,sK0(sK3,sK4,sK2(sK3,sK4,sK5)))
| lesseq(sum(c,sK3),sum(c,sK0(sK3,sK4,sK2(sK3,sK4,sK5)))) ),
inference(instantiation,[status(thm)],[c_1134864]) ).
cnf(c_1194741,plain,
lesseq(sum(c,sK4),sK5),
inference(superposition,[status(thm)],[c_1117266,c_1161966]) ).
cnf(c_1196107,plain,
( ~ lesseq(sum(c,max(sK3,sK4)),summation(sK3))
| ~ lesseq(summation(sK4),sum(c,max(sK3,sK4)))
| lesseq(summation(sK4),summation(sK3)) ),
inference(instantiation,[status(thm)],[c_1146826]) ).
cnf(c_1196111,plain,
lesseq(summation(sK4),summation(sK3)),
inference(global_subsumption_just,[status(thm)],[c_1196107,c_1912,c_2910,c_68930,c_613988,c_672760,c_781161,c_834868,c_1116218,c_1134425,c_1194741]) ).
cnf(c_1278540,plain,
( ~ ub(sK3,X0,X1)
| lesseq(sK3,X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_1279888,plain,
( ~ ub(sK3,X0,sK0(sK3,X0,X1))
| lesseq(sK3,sK0(sK3,X0,X1)) ),
inference(instantiation,[status(thm)],[c_1278540]) ).
cnf(c_1294440,plain,
( ~ ub(sK3,sK4,sK0(sK3,sK4,sK2(sK3,sK4,sK5)))
| lesseq(sK3,sK0(sK3,sK4,sK2(sK3,sK4,sK5))) ),
inference(instantiation,[status(thm)],[c_1279888]) ).
cnf(c_1294441,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1294440,c_1196111,c_1186667,c_1181241,c_1125206,c_1116218,c_850824,c_782841,c_715264,c_657860,c_643713,c_122733,c_90656,c_85528,c_68934,c_37338,c_13326,c_2910,c_1912,c_1881]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM861+1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 18:01:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 240.56/32.35 % SZS status Started for theBenchmark.p
% 240.56/32.35 % SZS status Theorem for theBenchmark.p
% 240.56/32.35
% 240.56/32.35 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 240.56/32.35
% 240.56/32.35 ------ iProver source info
% 240.56/32.35
% 240.56/32.35 git: date: 2023-05-31 18:12:56 +0000
% 240.56/32.35 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 240.56/32.35 git: non_committed_changes: false
% 240.56/32.35 git: last_make_outside_of_git: false
% 240.56/32.35
% 240.56/32.35 ------ Parsing...
% 240.56/32.35 ------ Clausification by vclausify_rel & Parsing by iProver...
% 240.56/32.35
% 240.56/32.35 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e
% 240.56/32.35
% 240.56/32.35 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 240.56/32.35
% 240.56/32.35 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 240.56/32.35 ------ Proving...
% 240.56/32.35 ------ Problem Properties
% 240.56/32.35
% 240.56/32.35
% 240.56/32.35 clauses 28
% 240.56/32.35 conjectures 0
% 240.56/32.35 EPR 11
% 240.56/32.35 Horn 23
% 240.56/32.35 unary 1
% 240.56/32.35 binary 15
% 240.56/32.35 lits 69
% 240.56/32.35 lits eq 3
% 240.56/32.35 fd_pure 0
% 240.56/32.35 fd_pseudo 0
% 240.56/32.35 fd_cond 0
% 240.56/32.35 fd_pseudo_cond 1
% 240.56/32.35 AC symbols 0
% 240.56/32.35
% 240.56/32.35 ------ Schedule dynamic 5 is on
% 240.56/32.35
% 240.56/32.35 ------ no conjectures: strip conj schedule
% 240.56/32.35
% 240.56/32.35 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 240.56/32.35
% 240.56/32.35
% 240.56/32.35 ------
% 240.56/32.35 Current options:
% 240.56/32.35 ------
% 240.56/32.35
% 240.56/32.35
% 240.56/32.35
% 240.56/32.35
% 240.56/32.35 ------ Proving...
% 240.56/32.35 Proof_search_loop: time out after: 19779 full_loop iterations
% 240.56/32.35
% 240.56/32.35 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" stripped conjectures Time Limit: 15.
% 240.56/32.35
% 240.56/32.35
% 240.56/32.35 ------
% 240.56/32.35 Current options:
% 240.56/32.35 ------
% 240.56/32.35
% 240.56/32.35
% 240.56/32.35
% 240.56/32.35
% 240.56/32.35 ------ Proving...
% 240.56/32.35 Proof_search_loop: time out after: 21635 full_loop iterations
% 240.56/32.35
% 240.56/32.35 ------ Option_1: Negative Selections stripped conjectures Time Limit: 35.
% 240.56/32.35
% 240.56/32.35
% 240.56/32.35 ------
% 240.56/32.35 Current options:
% 240.56/32.35 ------
% 240.56/32.35
% 240.56/32.35
% 240.56/32.35
% 240.56/32.35
% 240.56/32.35 ------ Proving...
% 240.56/32.35
% 240.56/32.35
% 240.56/32.35 % SZS status Theorem for theBenchmark.p
% 240.56/32.35
% 240.56/32.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 240.56/32.35
% 240.56/32.36
%------------------------------------------------------------------------------