TSTP Solution File: ALG071+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG071+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 : Mon May 20 18:25:44 EDT 2024
% Result : Theorem 2.52s 0.76s
% Output : Refutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 55
% Syntax : Number of formulae : 451 ( 7 unt; 0 def)
% Number of atoms : 1240 ( 154 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1425 ( 636 ~; 663 |; 43 &)
% ( 48 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 52 ( 50 usr; 49 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 128 ( 122 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9277,plain,
$false,
inference(avatar_sat_refutation,[],[f73,f77,f87,f113,f116,f127,f154,f157,f322,f325,f348,f387,f390,f413,f444,f448,f465,f616,f620,f744,f748,f1465,f1468,f1535,f1630,f1633,f1690,f2111,f2115,f2299,f2303,f4577,f4596,f4723,f5039,f5042,f5174,f5317,f5320,f5470,f5613,f5616,f5748,f5891,f5916,f6049,f6192,f6195,f6351,f6494,f6498,f6594,f6887,f6891,f7065,f7229,f7232,f7369,f7517,f7521,f7622,f7825,f7829,f7930,f8095,f8099,f8200,f9276]) ).
fof(f9276,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_13
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f9275]) ).
fof(f9275,plain,
( $false
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_13
| ~ spl2_14 ),
inference(subsumption_resolution,[],[f9274,f148]) ).
fof(f148,plain,
( sorti1(j(sK0))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl2_5
<=> sorti1(j(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f9274,plain,
( ~ sorti1(j(sK0))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_13
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f9272]) ).
fof(f9272,plain,
( j(sK0) != j(sK0)
| ~ sorti1(j(sK0))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_13
| ~ spl2_14 ),
inference(superposition,[],[f30,f9264]) ).
fof(f9264,plain,
( j(sK0) = op1(sK1(j(sK0)),op1(sK1(j(sK0)),j(sK0)))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_13
| ~ spl2_14 ),
inference(forward_demodulation,[],[f9263,f1278]) ).
fof(f1278,plain,
( sK0 = op2(h(sK1(j(sK0))),op2(h(sK1(j(sK0))),sK0))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_13
| ~ spl2_14 ),
inference(subsumption_resolution,[],[f1277,f67]) ).
fof(f67,plain,
( sorti2(h(sK1(j(sK0))))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl2_1
<=> sorti2(h(sK1(j(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f1277,plain,
( sK0 = op2(h(sK1(j(sK0))),op2(h(sK1(j(sK0))),sK0))
| ~ sorti2(h(sK1(j(sK0))))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_13
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f1275]) ).
fof(f1275,plain,
( h(sK1(j(sK0))) != h(sK1(j(sK0)))
| sK0 = op2(h(sK1(j(sK0))),op2(h(sK1(j(sK0))),sK0))
| ~ sorti2(h(sK1(j(sK0))))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_13
| ~ spl2_14 ),
inference(superposition,[],[f26,f1269]) ).
fof(f1269,plain,
( h(sK1(j(sK0))) = op2(sK0,op2(h(sK1(j(sK0))),sK0))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_13
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1268,f732]) ).
fof(f732,plain,
( sK1(j(sK0)) = j(op2(sK0,op2(h(sK1(j(sK0))),sK0)))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f731,f233]) ).
fof(f233,plain,
( sK1(j(sK0)) = op1(j(sK0),op1(sK1(j(sK0)),j(sK0)))
| ~ spl2_5 ),
inference(resolution,[],[f31,f148]) ).
fof(f31,plain,
! [X0] :
( ~ sorti1(X0)
| sK1(X0) = op1(X0,op1(sK1(X0),X0)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ( sK1(X0) = op1(X0,op1(sK1(X0),X0))
& op1(sK1(X0),op1(sK1(X0),X0)) != X0
& sorti1(sK1(X0)) )
| ~ sorti1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f13,f17]) ).
fof(f17,plain,
! [X0] :
( ? [X1] :
( op1(X0,op1(X1,X0)) = X1
& op1(X1,op1(X1,X0)) != X0
& sorti1(X1) )
=> ( sK1(X0) = op1(X0,op1(sK1(X0),X0))
& op1(sK1(X0),op1(sK1(X0),X0)) != X0
& sorti1(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X0] :
( ? [X1] :
( op1(X0,op1(X1,X0)) = X1
& op1(X1,op1(X1,X0)) != X0
& sorti1(X1) )
| ~ sorti1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( sorti1(X0)
=> ? [X1] :
( op1(X0,op1(X1,X0)) = X1
& op1(X1,op1(X1,X0)) != X0
& sorti1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f731,plain,
( op1(j(sK0),op1(sK1(j(sK0)),j(sK0))) = j(op2(sK0,op2(h(sK1(j(sK0))),sK0)))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f730,f142]) ).
fof(f142,plain,
( j(op2(h(sK1(j(sK0))),sK0)) = op1(sK1(j(sK0)),j(sK0))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f139,f61]) ).
fof(f61,plain,
sK1(j(sK0)) = j(h(sK1(j(sK0)))),
inference(resolution,[],[f41,f25]) ).
fof(f25,plain,
sorti2(sK0),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( ! [X1] :
( op2(sK0,op2(X1,sK0)) != X1
| sK0 = op2(X1,op2(X1,sK0))
| ~ sorti2(X1) )
& sorti2(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f10,f15]) ).
fof(f15,plain,
( ? [X0] :
( ! [X1] :
( op2(X0,op2(X1,X0)) != X1
| op2(X1,op2(X1,X0)) = X0
| ~ sorti2(X1) )
& sorti2(X0) )
=> ( ! [X1] :
( op2(sK0,op2(X1,sK0)) != X1
| sK0 = op2(X1,op2(X1,sK0))
| ~ sorti2(X1) )
& sorti2(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0] :
( ! [X1] :
( op2(X0,op2(X1,X0)) != X1
| op2(X1,op2(X1,X0)) = X0
| ~ sorti2(X1) )
& sorti2(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
~ ! [X0] :
( sorti2(X0)
=> ? [X1] :
( op2(X0,op2(X1,X0)) = X1
& op2(X1,op2(X1,X0)) != X0
& sorti2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f41,plain,
! [X0] :
( ~ sorti2(X0)
| sK1(j(X0)) = j(h(sK1(j(X0)))) ),
inference(resolution,[],[f36,f20]) ).
fof(f20,plain,
! [X6] :
( sorti1(j(X6))
| ~ sorti2(X6) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ! [X0] :
( j(h(X0)) = X0
| ~ sorti1(X0) )
& ! [X1] :
( h(j(X1)) = X1
| ~ sorti2(X1) )
& ! [X2] :
( ! [X3] :
( j(op2(X2,X3)) = op1(j(X2),j(X3))
| ~ sorti2(X3) )
| ~ sorti2(X2) )
& ! [X4] :
( ! [X5] :
( h(op1(X4,X5)) = op2(h(X4),h(X5))
| ~ sorti1(X5) )
| ~ sorti1(X4) )
& ! [X6] :
( sorti1(j(X6))
| ~ sorti2(X6) )
& ! [X7] :
( sorti2(h(X7))
| ~ sorti1(X7) ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ! [X2] :
( j(h(X2)) = X2
| ~ sorti1(X2) )
& ! [X3] :
( h(j(X3)) = X3
| ~ sorti2(X3) )
& ! [X4] :
( ! [X5] :
( j(op2(X4,X5)) = op1(j(X4),j(X5))
| ~ sorti2(X5) )
| ~ sorti2(X4) )
& ! [X6] :
( ! [X7] :
( h(op1(X6,X7)) = op2(h(X6),h(X7))
| ~ sorti1(X7) )
| ~ sorti1(X6) )
& ! [X0] :
( sorti1(j(X0))
| ~ sorti2(X0) )
& ! [X1] :
( sorti2(h(X1))
| ~ sorti1(X1) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( ! [X2] :
( j(h(X2)) = X2
| ~ sorti1(X2) )
& ! [X3] :
( h(j(X3)) = X3
| ~ sorti2(X3) )
& ! [X4] :
( ! [X5] :
( j(op2(X4,X5)) = op1(j(X4),j(X5))
| ~ sorti2(X5) )
| ~ sorti2(X4) )
& ! [X6] :
( ! [X7] :
( h(op1(X6,X7)) = op2(h(X6),h(X7))
| ~ sorti1(X7) )
| ~ sorti1(X6) )
& ! [X0] :
( sorti1(j(X0))
| ~ sorti2(X0) )
& ! [X1] :
( sorti2(h(X1))
| ~ sorti1(X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ( ! [X0] :
( sorti2(X0)
=> sorti1(j(X0)) )
& ! [X1] :
( sorti1(X1)
=> sorti2(h(X1)) ) )
=> ~ ( ! [X2] :
( sorti1(X2)
=> j(h(X2)) = X2 )
& ! [X3] :
( sorti2(X3)
=> h(j(X3)) = X3 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X6] :
( sorti1(X6)
=> ! [X7] :
( sorti1(X7)
=> h(op1(X6,X7)) = op2(h(X6),h(X7)) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) ) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f36,plain,
! [X0] :
( ~ sorti1(X0)
| sK1(X0) = j(h(sK1(X0))) ),
inference(resolution,[],[f24,f29]) ).
fof(f29,plain,
! [X0] :
( sorti1(sK1(X0))
| ~ sorti1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f24,plain,
! [X0] :
( ~ sorti1(X0)
| j(h(X0)) = X0 ),
inference(cnf_transformation,[],[f14]) ).
fof(f139,plain,
( j(op2(h(sK1(j(sK0))),sK0)) = op1(j(h(sK1(j(sK0)))),j(sK0))
| ~ spl2_1 ),
inference(resolution,[],[f99,f67]) ).
fof(f99,plain,
! [X0] :
( ~ sorti2(X0)
| j(op2(X0,sK0)) = op1(j(X0),j(sK0)) ),
inference(resolution,[],[f22,f25]) ).
fof(f22,plain,
! [X2,X3] :
( ~ sorti2(X3)
| j(op2(X2,X3)) = op1(j(X2),j(X3))
| ~ sorti2(X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f730,plain,
( j(op2(sK0,op2(h(sK1(j(sK0))),sK0))) = op1(j(sK0),j(op2(h(sK1(j(sK0))),sK0)))
| ~ spl2_2
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f720,f180]) ).
fof(f180,plain,
( op2(h(sK1(j(sK0))),sK0) = h(op1(sK1(j(sK0)),j(sK0)))
| ~ spl2_2
| ~ spl2_5 ),
inference(resolution,[],[f165,f72]) ).
fof(f72,plain,
( sorti1(sK1(j(sK0)))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl2_2
<=> sorti1(sK1(j(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f165,plain,
( ! [X0] :
( ~ sorti1(X0)
| op2(h(X0),sK0) = h(op1(X0,j(sK0))) )
| ~ spl2_5 ),
inference(forward_demodulation,[],[f158,f32]) ).
fof(f32,plain,
sK0 = h(j(sK0)),
inference(resolution,[],[f23,f25]) ).
fof(f23,plain,
! [X1] :
( ~ sorti2(X1)
| h(j(X1)) = X1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f158,plain,
( ! [X0] :
( h(op1(X0,j(sK0))) = op2(h(X0),h(j(sK0)))
| ~ sorti1(X0) )
| ~ spl2_5 ),
inference(resolution,[],[f148,f21]) ).
fof(f21,plain,
! [X4,X5] :
( ~ sorti1(X5)
| h(op1(X4,X5)) = op2(h(X4),h(X5))
| ~ sorti1(X4) ),
inference(cnf_transformation,[],[f14]) ).
fof(f720,plain,
( j(op2(sK0,h(op1(sK1(j(sK0)),j(sK0))))) = op1(j(sK0),j(h(op1(sK1(j(sK0)),j(sK0)))))
| ~ spl2_14 ),
inference(resolution,[],[f693,f615]) ).
fof(f615,plain,
( sorti1(op1(sK1(j(sK0)),j(sK0)))
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f613,plain,
( spl2_14
<=> sorti1(op1(sK1(j(sK0)),j(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f693,plain,
! [X0] :
( ~ sorti1(X0)
| j(op2(sK0,h(X0))) = op1(j(sK0),j(h(X0))) ),
inference(resolution,[],[f100,f25]) ).
fof(f100,plain,
! [X0,X1] :
( ~ sorti2(X0)
| j(op2(X0,h(X1))) = op1(j(X0),j(h(X1)))
| ~ sorti1(X1) ),
inference(resolution,[],[f22,f19]) ).
fof(f19,plain,
! [X7] :
( sorti2(h(X7))
| ~ sorti1(X7) ),
inference(cnf_transformation,[],[f14]) ).
fof(f1268,plain,
( op2(sK0,op2(h(sK1(j(sK0))),sK0)) = h(j(op2(sK0,op2(h(sK1(j(sK0))),sK0))))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1267,f180]) ).
fof(f1267,plain,
( op2(sK0,h(op1(sK1(j(sK0)),j(sK0)))) = h(j(op2(sK0,h(op1(sK1(j(sK0)),j(sK0))))))
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1256,f142]) ).
fof(f1256,plain,
( op2(sK0,h(j(op2(h(sK1(j(sK0))),sK0)))) = h(j(op2(sK0,h(j(op2(h(sK1(j(sK0))),sK0))))))
| ~ spl2_13 ),
inference(resolution,[],[f293,f610]) ).
fof(f610,plain,
( sorti2(op2(h(sK1(j(sK0))),sK0))
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f609,plain,
( spl2_13
<=> sorti2(op2(h(sK1(j(sK0))),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f293,plain,
! [X0] :
( ~ sorti2(X0)
| op2(sK0,h(j(X0))) = h(j(op2(sK0,h(j(X0))))) ),
inference(resolution,[],[f207,f20]) ).
fof(f207,plain,
! [X0] :
( ~ sorti1(X0)
| op2(sK0,h(X0)) = h(j(op2(sK0,h(X0)))) ),
inference(resolution,[],[f200,f19]) ).
fof(f200,plain,
! [X0] :
( ~ sorti2(X0)
| op2(sK0,X0) = h(j(op2(sK0,X0))) ),
inference(resolution,[],[f47,f25]) ).
fof(f47,plain,
! [X0,X1] :
( ~ sorti2(X1)
| ~ sorti2(X0)
| op2(X1,X0) = h(j(op2(X1,X0))) ),
inference(resolution,[],[f28,f23]) ).
fof(f28,plain,
! [X0,X1] :
( sorti2(op2(X0,X1))
| ~ sorti2(X1)
| ~ sorti2(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ! [X1] :
( sorti2(op2(X0,X1))
| ~ sorti2(X1) )
| ~ sorti2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( sorti2(X0)
=> ! [X1] :
( sorti2(X1)
=> sorti2(op2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f26,plain,
! [X1] :
( op2(sK0,op2(X1,sK0)) != X1
| sK0 = op2(X1,op2(X1,sK0))
| ~ sorti2(X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f9263,plain,
( op1(sK1(j(sK0)),op1(sK1(j(sK0)),j(sK0))) = j(op2(h(sK1(j(sK0))),op2(h(sK1(j(sK0))),sK0)))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f9262,f142]) ).
fof(f9262,plain,
( j(op2(h(sK1(j(sK0))),op2(h(sK1(j(sK0))),sK0))) = op1(sK1(j(sK0)),j(op2(h(sK1(j(sK0))),sK0)))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f9235,f180]) ).
fof(f9235,plain,
( j(op2(h(sK1(j(sK0))),h(op1(sK1(j(sK0)),j(sK0))))) = op1(sK1(j(sK0)),j(h(op1(sK1(j(sK0)),j(sK0)))))
| ~ spl2_1
| ~ spl2_14 ),
inference(resolution,[],[f704,f615]) ).
fof(f704,plain,
( ! [X0] :
( ~ sorti1(X0)
| j(op2(h(sK1(j(sK0))),h(X0))) = op1(sK1(j(sK0)),j(h(X0))) )
| ~ spl2_1 ),
inference(forward_demodulation,[],[f695,f61]) ).
fof(f695,plain,
( ! [X0] :
( j(op2(h(sK1(j(sK0))),h(X0))) = op1(j(h(sK1(j(sK0)))),j(h(X0)))
| ~ sorti1(X0) )
| ~ spl2_1 ),
inference(resolution,[],[f100,f67]) ).
fof(f30,plain,
! [X0] :
( op1(sK1(X0),op1(sK1(X0),X0)) != X0
| ~ sorti1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f8200,plain,
( spl2_47
| ~ spl2_48 ),
inference(avatar_contradiction_clause,[],[f8199]) ).
fof(f8199,plain,
( $false
| spl2_47
| ~ spl2_48 ),
inference(subsumption_resolution,[],[f8198,f8094]) ).
fof(f8094,plain,
( sorti2(op2(sK0,op2(op2(sK0,sK0),sK0)))
| ~ spl2_48 ),
inference(avatar_component_clause,[],[f8092]) ).
fof(f8092,plain,
( spl2_48
<=> sorti2(op2(sK0,op2(op2(sK0,sK0),sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_48])]) ).
fof(f8198,plain,
( ~ sorti2(op2(sK0,op2(op2(sK0,sK0),sK0)))
| spl2_47 ),
inference(resolution,[],[f8090,f20]) ).
fof(f8090,plain,
( ~ sorti1(j(op2(sK0,op2(op2(sK0,sK0),sK0))))
| spl2_47 ),
inference(avatar_component_clause,[],[f8088]) ).
fof(f8088,plain,
( spl2_47
<=> sorti1(j(op2(sK0,op2(op2(sK0,sK0),sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_47])]) ).
fof(f8099,plain,
( ~ spl2_5
| ~ spl2_6
| spl2_48 ),
inference(avatar_contradiction_clause,[],[f8098]) ).
fof(f8098,plain,
( $false
| ~ spl2_5
| ~ spl2_6
| spl2_48 ),
inference(subsumption_resolution,[],[f8097,f25]) ).
fof(f8097,plain,
( ~ sorti2(sK0)
| ~ spl2_5
| ~ spl2_6
| spl2_48 ),
inference(subsumption_resolution,[],[f8096,f566]) ).
fof(f566,plain,
( sorti2(op2(op2(sK0,sK0),sK0))
| ~ spl2_5
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f565,f527]) ).
fof(f527,plain,
( sorti1(j(op2(op2(sK0,sK0),sK0)))
| ~ spl2_5
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f526,f153]) ).
fof(f153,plain,
( sorti1(j(op2(sK0,sK0)))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl2_6
<=> sorti1(j(op2(sK0,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f526,plain,
( sorti1(j(op2(op2(sK0,sK0),sK0)))
| ~ sorti1(j(op2(sK0,sK0)))
| ~ spl2_5
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f525,f148]) ).
fof(f525,plain,
( sorti1(j(op2(op2(sK0,sK0),sK0)))
| ~ sorti1(j(sK0))
| ~ sorti1(j(op2(sK0,sK0)))
| ~ spl2_5
| ~ spl2_6 ),
inference(superposition,[],[f27,f519]) ).
fof(f519,plain,
( op1(j(op2(sK0,sK0)),j(sK0)) = j(op2(op2(sK0,sK0),sK0))
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f518,f184]) ).
fof(f184,plain,
( op2(sK0,sK0) = h(j(op2(sK0,sK0)))
| ~ spl2_5 ),
inference(forward_demodulation,[],[f183,f32]) ).
fof(f183,plain,
( h(j(op2(sK0,sK0))) = op2(h(j(sK0)),sK0)
| ~ spl2_5 ),
inference(forward_demodulation,[],[f177,f137]) ).
fof(f137,plain,
j(op2(sK0,sK0)) = op1(j(sK0),j(sK0)),
inference(resolution,[],[f99,f25]) ).
fof(f177,plain,
( op2(h(j(sK0)),sK0) = h(op1(j(sK0),j(sK0)))
| ~ spl2_5 ),
inference(resolution,[],[f165,f148]) ).
fof(f518,plain,
( op1(j(op2(sK0,sK0)),j(sK0)) = j(op2(h(j(op2(sK0,sK0))),sK0))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f509,f169]) ).
fof(f169,plain,
( j(op2(sK0,sK0)) = j(h(j(op2(sK0,sK0))))
| ~ spl2_6 ),
inference(resolution,[],[f153,f24]) ).
fof(f509,plain,
( j(op2(h(j(op2(sK0,sK0))),sK0)) = op1(j(h(j(op2(sK0,sK0)))),j(sK0))
| ~ spl2_6 ),
inference(resolution,[],[f138,f153]) ).
fof(f138,plain,
! [X0] :
( ~ sorti1(X0)
| j(op2(h(X0),sK0)) = op1(j(h(X0)),j(sK0)) ),
inference(resolution,[],[f99,f19]) ).
fof(f27,plain,
! [X0,X1] :
( sorti1(op1(X0,X1))
| ~ sorti1(X1)
| ~ sorti1(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( ! [X1] :
( sorti1(op1(X0,X1))
| ~ sorti1(X1) )
| ~ sorti1(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( sorti1(X0)
=> ! [X1] :
( sorti1(X1)
=> sorti1(op1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f565,plain,
( sorti2(op2(op2(sK0,sK0),sK0))
| ~ sorti1(j(op2(op2(sK0,sK0),sK0)))
| ~ spl2_5
| ~ spl2_6 ),
inference(superposition,[],[f19,f563]) ).
fof(f563,plain,
( op2(op2(sK0,sK0),sK0) = h(j(op2(op2(sK0,sK0),sK0)))
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f562,f184]) ).
fof(f562,plain,
( op2(h(j(op2(sK0,sK0))),sK0) = h(j(op2(op2(sK0,sK0),sK0)))
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f554,f519]) ).
fof(f554,plain,
( op2(h(j(op2(sK0,sK0))),sK0) = h(op1(j(op2(sK0,sK0)),j(sK0)))
| ~ spl2_5
| ~ spl2_6 ),
inference(resolution,[],[f176,f186]) ).
fof(f186,plain,
( sorti2(op2(sK0,sK0))
| ~ spl2_5
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f185,f153]) ).
fof(f185,plain,
( sorti2(op2(sK0,sK0))
| ~ sorti1(j(op2(sK0,sK0)))
| ~ spl2_5 ),
inference(superposition,[],[f19,f184]) ).
fof(f176,plain,
( ! [X0] :
( ~ sorti2(X0)
| op2(h(j(X0)),sK0) = h(op1(j(X0),j(sK0))) )
| ~ spl2_5 ),
inference(resolution,[],[f165,f20]) ).
fof(f8096,plain,
( ~ sorti2(op2(op2(sK0,sK0),sK0))
| ~ sorti2(sK0)
| spl2_48 ),
inference(resolution,[],[f8093,f28]) ).
fof(f8093,plain,
( ~ sorti2(op2(sK0,op2(op2(sK0,sK0),sK0)))
| spl2_48 ),
inference(avatar_component_clause,[],[f8092]) ).
fof(f8095,plain,
( ~ spl2_47
| spl2_48
| ~ spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f5308,f151,f147,f8092,f8088]) ).
fof(f5308,plain,
( sorti2(op2(sK0,op2(op2(sK0,sK0),sK0)))
| ~ sorti1(j(op2(sK0,op2(op2(sK0,sK0),sK0))))
| ~ spl2_5
| ~ spl2_6 ),
inference(superposition,[],[f19,f3987]) ).
fof(f3987,plain,
( op2(sK0,op2(op2(sK0,sK0),sK0)) = h(j(op2(sK0,op2(op2(sK0,sK0),sK0))))
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f3986,f563]) ).
fof(f3986,plain,
( op2(sK0,h(j(op2(op2(sK0,sK0),sK0)))) = h(j(op2(sK0,h(j(op2(op2(sK0,sK0),sK0))))))
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f3967,f563]) ).
fof(f3967,plain,
( op2(sK0,h(j(h(j(op2(op2(sK0,sK0),sK0)))))) = h(j(op2(sK0,h(j(h(j(op2(op2(sK0,sK0),sK0))))))))
| ~ spl2_5
| ~ spl2_6 ),
inference(resolution,[],[f1249,f527]) ).
fof(f1249,plain,
! [X0] :
( ~ sorti1(X0)
| op2(sK0,h(j(h(X0)))) = h(j(op2(sK0,h(j(h(X0)))))) ),
inference(resolution,[],[f293,f19]) ).
fof(f7930,plain,
( spl2_45
| ~ spl2_46 ),
inference(avatar_contradiction_clause,[],[f7929]) ).
fof(f7929,plain,
( $false
| spl2_45
| ~ spl2_46 ),
inference(subsumption_resolution,[],[f7928,f7824]) ).
fof(f7824,plain,
( sorti2(op2(op2(op2(sK0,sK0),sK0),sK0))
| ~ spl2_46 ),
inference(avatar_component_clause,[],[f7822]) ).
fof(f7822,plain,
( spl2_46
<=> sorti2(op2(op2(op2(sK0,sK0),sK0),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_46])]) ).
fof(f7928,plain,
( ~ sorti2(op2(op2(op2(sK0,sK0),sK0),sK0))
| spl2_45 ),
inference(resolution,[],[f7820,f20]) ).
fof(f7820,plain,
( ~ sorti1(j(op2(op2(op2(sK0,sK0),sK0),sK0)))
| spl2_45 ),
inference(avatar_component_clause,[],[f7818]) ).
fof(f7818,plain,
( spl2_45
<=> sorti1(j(op2(op2(op2(sK0,sK0),sK0),sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_45])]) ).
fof(f7829,plain,
( ~ spl2_5
| ~ spl2_6
| spl2_46 ),
inference(avatar_contradiction_clause,[],[f7828]) ).
fof(f7828,plain,
( $false
| ~ spl2_5
| ~ spl2_6
| spl2_46 ),
inference(subsumption_resolution,[],[f7827,f566]) ).
fof(f7827,plain,
( ~ sorti2(op2(op2(sK0,sK0),sK0))
| spl2_46 ),
inference(subsumption_resolution,[],[f7826,f25]) ).
fof(f7826,plain,
( ~ sorti2(sK0)
| ~ sorti2(op2(op2(sK0,sK0),sK0))
| spl2_46 ),
inference(resolution,[],[f7823,f28]) ).
fof(f7823,plain,
( ~ sorti2(op2(op2(op2(sK0,sK0),sK0),sK0))
| spl2_46 ),
inference(avatar_component_clause,[],[f7822]) ).
fof(f7825,plain,
( ~ spl2_45
| spl2_46
| ~ spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f4892,f151,f147,f7822,f7818]) ).
fof(f4892,plain,
( sorti2(op2(op2(op2(sK0,sK0),sK0),sK0))
| ~ sorti1(j(op2(op2(op2(sK0,sK0),sK0),sK0)))
| ~ spl2_5
| ~ spl2_6 ),
inference(superposition,[],[f19,f924]) ).
fof(f924,plain,
( op2(op2(op2(sK0,sK0),sK0),sK0) = h(j(op2(op2(op2(sK0,sK0),sK0),sK0)))
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f912,f563]) ).
fof(f912,plain,
( op2(h(j(op2(op2(sK0,sK0),sK0))),sK0) = h(j(op2(h(j(op2(op2(sK0,sK0),sK0))),sK0)))
| ~ spl2_5
| ~ spl2_6 ),
inference(resolution,[],[f896,f527]) ).
fof(f896,plain,
! [X0] :
( ~ sorti1(X0)
| op2(h(X0),sK0) = h(j(op2(h(X0),sK0))) ),
inference(resolution,[],[f201,f25]) ).
fof(f201,plain,
! [X0,X1] :
( ~ sorti2(X0)
| op2(h(X1),X0) = h(j(op2(h(X1),X0)))
| ~ sorti1(X1) ),
inference(resolution,[],[f47,f19]) ).
fof(f7622,plain,
( spl2_43
| ~ spl2_44 ),
inference(avatar_contradiction_clause,[],[f7621]) ).
fof(f7621,plain,
( $false
| spl2_43
| ~ spl2_44 ),
inference(subsumption_resolution,[],[f7620,f7516]) ).
fof(f7516,plain,
( sorti2(op2(op2(sK0,op2(sK0,sK0)),sK0))
| ~ spl2_44 ),
inference(avatar_component_clause,[],[f7514]) ).
fof(f7514,plain,
( spl2_44
<=> sorti2(op2(op2(sK0,op2(sK0,sK0)),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_44])]) ).
fof(f7620,plain,
( ~ sorti2(op2(op2(sK0,op2(sK0,sK0)),sK0))
| spl2_43 ),
inference(resolution,[],[f7512,f20]) ).
fof(f7512,plain,
( ~ sorti1(j(op2(op2(sK0,op2(sK0,sK0)),sK0)))
| spl2_43 ),
inference(avatar_component_clause,[],[f7510]) ).
fof(f7510,plain,
( spl2_43
<=> sorti1(j(op2(op2(sK0,op2(sK0,sK0)),sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_43])]) ).
fof(f7521,plain,
( ~ spl2_12
| spl2_44 ),
inference(avatar_contradiction_clause,[],[f7520]) ).
fof(f7520,plain,
( $false
| ~ spl2_12
| spl2_44 ),
inference(subsumption_resolution,[],[f7519,f443]) ).
fof(f443,plain,
( sorti2(op2(sK0,op2(sK0,sK0)))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f441,plain,
( spl2_12
<=> sorti2(op2(sK0,op2(sK0,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f7519,plain,
( ~ sorti2(op2(sK0,op2(sK0,sK0)))
| spl2_44 ),
inference(subsumption_resolution,[],[f7518,f25]) ).
fof(f7518,plain,
( ~ sorti2(sK0)
| ~ sorti2(op2(sK0,op2(sK0,sK0)))
| spl2_44 ),
inference(resolution,[],[f7515,f28]) ).
fof(f7515,plain,
( ~ sorti2(op2(op2(sK0,op2(sK0,sK0)),sK0))
| spl2_44 ),
inference(avatar_component_clause,[],[f7514]) ).
fof(f7517,plain,
( ~ spl2_43
| spl2_44
| ~ spl2_5
| ~ spl2_6
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f4874,f437,f151,f147,f7514,f7510]) ).
fof(f437,plain,
( spl2_11
<=> sorti1(j(op2(sK0,op2(sK0,sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f4874,plain,
( sorti2(op2(op2(sK0,op2(sK0,sK0)),sK0))
| ~ sorti1(j(op2(op2(sK0,op2(sK0,sK0)),sK0)))
| ~ spl2_5
| ~ spl2_6
| ~ spl2_11 ),
inference(superposition,[],[f19,f923]) ).
fof(f923,plain,
( op2(op2(sK0,op2(sK0,sK0)),sK0) = h(j(op2(op2(sK0,op2(sK0,sK0)),sK0)))
| ~ spl2_5
| ~ spl2_6
| ~ spl2_11 ),
inference(forward_demodulation,[],[f911,f301]) ).
fof(f301,plain,
( op2(sK0,op2(sK0,sK0)) = h(j(op2(sK0,op2(sK0,sK0))))
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f295,f184]) ).
fof(f295,plain,
( op2(sK0,h(j(op2(sK0,sK0)))) = h(j(op2(sK0,h(j(op2(sK0,sK0))))))
| ~ spl2_6 ),
inference(resolution,[],[f207,f153]) ).
fof(f911,plain,
( op2(h(j(op2(sK0,op2(sK0,sK0)))),sK0) = h(j(op2(h(j(op2(sK0,op2(sK0,sK0)))),sK0)))
| ~ spl2_11 ),
inference(resolution,[],[f896,f438]) ).
fof(f438,plain,
( sorti1(j(op2(sK0,op2(sK0,sK0))))
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f7369,plain,
( spl2_41
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f7368]) ).
fof(f7368,plain,
( $false
| spl2_41
| ~ spl2_42 ),
inference(subsumption_resolution,[],[f7367,f7228]) ).
fof(f7228,plain,
( sorti1(sK1(j(op2(op2(sK0,sK0),sK0))))
| ~ spl2_42 ),
inference(avatar_component_clause,[],[f7226]) ).
fof(f7226,plain,
( spl2_42
<=> sorti1(sK1(j(op2(op2(sK0,sK0),sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).
fof(f7367,plain,
( ~ sorti1(sK1(j(op2(op2(sK0,sK0),sK0))))
| spl2_41 ),
inference(resolution,[],[f7224,f19]) ).
fof(f7224,plain,
( ~ sorti2(h(sK1(j(op2(op2(sK0,sK0),sK0)))))
| spl2_41 ),
inference(avatar_component_clause,[],[f7222]) ).
fof(f7222,plain,
( spl2_41
<=> sorti2(h(sK1(j(op2(op2(sK0,sK0),sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).
fof(f7232,plain,
( ~ spl2_5
| ~ spl2_6
| spl2_42 ),
inference(avatar_contradiction_clause,[],[f7231]) ).
fof(f7231,plain,
( $false
| ~ spl2_5
| ~ spl2_6
| spl2_42 ),
inference(subsumption_resolution,[],[f7230,f527]) ).
fof(f7230,plain,
( ~ sorti1(j(op2(op2(sK0,sK0),sK0)))
| spl2_42 ),
inference(resolution,[],[f7227,f29]) ).
fof(f7227,plain,
( ~ sorti1(sK1(j(op2(op2(sK0,sK0),sK0))))
| spl2_42 ),
inference(avatar_component_clause,[],[f7226]) ).
fof(f7229,plain,
( ~ spl2_41
| spl2_42
| ~ spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f4873,f151,f147,f7226,f7222]) ).
fof(f4873,plain,
( sorti1(sK1(j(op2(op2(sK0,sK0),sK0))))
| ~ sorti2(h(sK1(j(op2(op2(sK0,sK0),sK0)))))
| ~ spl2_5
| ~ spl2_6 ),
inference(superposition,[],[f20,f532]) ).
fof(f532,plain,
( sK1(j(op2(op2(sK0,sK0),sK0))) = j(h(sK1(j(op2(op2(sK0,sK0),sK0)))))
| ~ spl2_5
| ~ spl2_6 ),
inference(resolution,[],[f527,f36]) ).
fof(f7065,plain,
( spl2_39
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f7064]) ).
fof(f7064,plain,
( $false
| spl2_39
| ~ spl2_40 ),
inference(subsumption_resolution,[],[f7063,f6886]) ).
fof(f6886,plain,
( sorti2(op2(sK0,op2(sK0,op2(sK0,sK0))))
| ~ spl2_40 ),
inference(avatar_component_clause,[],[f6884]) ).
fof(f6884,plain,
( spl2_40
<=> sorti2(op2(sK0,op2(sK0,op2(sK0,sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).
fof(f7063,plain,
( ~ sorti2(op2(sK0,op2(sK0,op2(sK0,sK0))))
| spl2_39 ),
inference(resolution,[],[f6882,f20]) ).
fof(f6882,plain,
( ~ sorti1(j(op2(sK0,op2(sK0,op2(sK0,sK0)))))
| spl2_39 ),
inference(avatar_component_clause,[],[f6880]) ).
fof(f6880,plain,
( spl2_39
<=> sorti1(j(op2(sK0,op2(sK0,op2(sK0,sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).
fof(f6891,plain,
( ~ spl2_12
| spl2_40 ),
inference(avatar_contradiction_clause,[],[f6890]) ).
fof(f6890,plain,
( $false
| ~ spl2_12
| spl2_40 ),
inference(subsumption_resolution,[],[f6889,f25]) ).
fof(f6889,plain,
( ~ sorti2(sK0)
| ~ spl2_12
| spl2_40 ),
inference(subsumption_resolution,[],[f6888,f443]) ).
fof(f6888,plain,
( ~ sorti2(op2(sK0,op2(sK0,sK0)))
| ~ sorti2(sK0)
| spl2_40 ),
inference(resolution,[],[f6885,f28]) ).
fof(f6885,plain,
( ~ sorti2(op2(sK0,op2(sK0,op2(sK0,sK0))))
| spl2_40 ),
inference(avatar_component_clause,[],[f6884]) ).
fof(f6887,plain,
( ~ spl2_39
| spl2_40
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f4871,f441,f6884,f6880]) ).
fof(f4871,plain,
( sorti2(op2(sK0,op2(sK0,op2(sK0,sK0))))
| ~ sorti1(j(op2(sK0,op2(sK0,op2(sK0,sK0)))))
| ~ spl2_12 ),
inference(superposition,[],[f19,f459]) ).
fof(f459,plain,
( op2(sK0,op2(sK0,op2(sK0,sK0))) = h(j(op2(sK0,op2(sK0,op2(sK0,sK0)))))
| ~ spl2_12 ),
inference(resolution,[],[f443,f200]) ).
fof(f6594,plain,
( spl2_37
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f6593]) ).
fof(f6593,plain,
( $false
| spl2_37
| ~ spl2_38 ),
inference(subsumption_resolution,[],[f6592,f6493]) ).
fof(f6493,plain,
( sorti2(op2(op2(sK0,sK0),op2(sK0,sK0)))
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f6491]) ).
fof(f6491,plain,
( spl2_38
<=> sorti2(op2(op2(sK0,sK0),op2(sK0,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).
fof(f6592,plain,
( ~ sorti2(op2(op2(sK0,sK0),op2(sK0,sK0)))
| spl2_37 ),
inference(resolution,[],[f6489,f20]) ).
fof(f6489,plain,
( ~ sorti1(j(op2(op2(sK0,sK0),op2(sK0,sK0))))
| spl2_37 ),
inference(avatar_component_clause,[],[f6487]) ).
fof(f6487,plain,
( spl2_37
<=> sorti1(j(op2(op2(sK0,sK0),op2(sK0,sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).
fof(f6498,plain,
( ~ spl2_5
| ~ spl2_6
| spl2_38 ),
inference(avatar_contradiction_clause,[],[f6497]) ).
fof(f6497,plain,
( $false
| ~ spl2_5
| ~ spl2_6
| spl2_38 ),
inference(subsumption_resolution,[],[f6496,f186]) ).
fof(f6496,plain,
( ~ sorti2(op2(sK0,sK0))
| spl2_38 ),
inference(duplicate_literal_removal,[],[f6495]) ).
fof(f6495,plain,
( ~ sorti2(op2(sK0,sK0))
| ~ sorti2(op2(sK0,sK0))
| spl2_38 ),
inference(resolution,[],[f6492,f28]) ).
fof(f6492,plain,
( ~ sorti2(op2(op2(sK0,sK0),op2(sK0,sK0)))
| spl2_38 ),
inference(avatar_component_clause,[],[f6491]) ).
fof(f6494,plain,
( ~ spl2_37
| spl2_38
| ~ spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f4852,f151,f147,f6491,f6487]) ).
fof(f4852,plain,
( sorti2(op2(op2(sK0,sK0),op2(sK0,sK0)))
| ~ sorti1(j(op2(op2(sK0,sK0),op2(sK0,sK0))))
| ~ spl2_5
| ~ spl2_6 ),
inference(superposition,[],[f19,f3160]) ).
fof(f3160,plain,
( op2(op2(sK0,sK0),op2(sK0,sK0)) = h(j(op2(op2(sK0,sK0),op2(sK0,sK0))))
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f3144,f184]) ).
fof(f3144,plain,
( op2(h(j(op2(sK0,sK0))),op2(sK0,sK0)) = h(j(op2(h(j(op2(sK0,sK0))),op2(sK0,sK0))))
| ~ spl2_5
| ~ spl2_6 ),
inference(resolution,[],[f2898,f153]) ).
fof(f2898,plain,
( ! [X0] :
( ~ sorti1(X0)
| op2(h(X0),op2(sK0,sK0)) = h(j(op2(h(X0),op2(sK0,sK0)))) )
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f2882,f184]) ).
fof(f2882,plain,
( ! [X0] :
( ~ sorti1(X0)
| op2(h(X0),h(j(op2(sK0,sK0)))) = h(j(op2(h(X0),h(j(op2(sK0,sK0)))))) )
| ~ spl2_6 ),
inference(resolution,[],[f897,f153]) ).
fof(f897,plain,
! [X0,X1] :
( ~ sorti1(X1)
| ~ sorti1(X0)
| op2(h(X0),h(X1)) = h(j(op2(h(X0),h(X1)))) ),
inference(resolution,[],[f201,f19]) ).
fof(f6351,plain,
( spl2_35
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f6350]) ).
fof(f6350,plain,
( $false
| spl2_35
| ~ spl2_36 ),
inference(subsumption_resolution,[],[f6349,f6191]) ).
fof(f6191,plain,
( sorti1(sK1(op1(sK1(j(sK0)),j(sK0))))
| ~ spl2_36 ),
inference(avatar_component_clause,[],[f6189]) ).
fof(f6189,plain,
( spl2_36
<=> sorti1(sK1(op1(sK1(j(sK0)),j(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).
fof(f6349,plain,
( ~ sorti1(sK1(op1(sK1(j(sK0)),j(sK0))))
| spl2_35 ),
inference(resolution,[],[f6187,f19]) ).
fof(f6187,plain,
( ~ sorti2(h(sK1(op1(sK1(j(sK0)),j(sK0)))))
| spl2_35 ),
inference(avatar_component_clause,[],[f6185]) ).
fof(f6185,plain,
( spl2_35
<=> sorti2(h(sK1(op1(sK1(j(sK0)),j(sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).
fof(f6195,plain,
( ~ spl2_14
| spl2_36 ),
inference(avatar_contradiction_clause,[],[f6194]) ).
fof(f6194,plain,
( $false
| ~ spl2_14
| spl2_36 ),
inference(subsumption_resolution,[],[f6193,f615]) ).
fof(f6193,plain,
( ~ sorti1(op1(sK1(j(sK0)),j(sK0)))
| spl2_36 ),
inference(resolution,[],[f6190,f29]) ).
fof(f6190,plain,
( ~ sorti1(sK1(op1(sK1(j(sK0)),j(sK0))))
| spl2_36 ),
inference(avatar_component_clause,[],[f6189]) ).
fof(f6192,plain,
( ~ spl2_35
| spl2_36
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f4458,f66,f6189,f6185]) ).
fof(f4458,plain,
( sorti1(sK1(op1(sK1(j(sK0)),j(sK0))))
| ~ sorti2(h(sK1(op1(sK1(j(sK0)),j(sK0)))))
| ~ spl2_1 ),
inference(superposition,[],[f20,f2586]) ).
fof(f2586,plain,
( sK1(op1(sK1(j(sK0)),j(sK0))) = j(h(sK1(op1(sK1(j(sK0)),j(sK0)))))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f2572,f142]) ).
fof(f2572,plain,
( sK1(j(op2(h(sK1(j(sK0))),sK0))) = j(h(sK1(j(op2(h(sK1(j(sK0))),sK0)))))
| ~ spl2_1 ),
inference(resolution,[],[f2554,f67]) ).
fof(f2554,plain,
! [X0] :
( ~ sorti2(X0)
| sK1(j(op2(X0,sK0))) = j(h(sK1(j(op2(X0,sK0))))) ),
inference(resolution,[],[f63,f25]) ).
fof(f63,plain,
! [X0,X1] :
( ~ sorti2(X1)
| sK1(j(op2(X0,X1))) = j(h(sK1(j(op2(X0,X1)))))
| ~ sorti2(X0) ),
inference(resolution,[],[f41,f28]) ).
fof(f6049,plain,
( spl2_33
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f6048]) ).
fof(f6048,plain,
( $false
| spl2_33
| ~ spl2_34 ),
inference(subsumption_resolution,[],[f6047,f5890]) ).
fof(f5890,plain,
( sorti1(op1(sK1(j(sK0)),sK1(j(sK0))))
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f5888]) ).
fof(f5888,plain,
( spl2_34
<=> sorti1(op1(sK1(j(sK0)),sK1(j(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).
fof(f6047,plain,
( ~ sorti1(op1(sK1(j(sK0)),sK1(j(sK0))))
| spl2_33 ),
inference(resolution,[],[f5886,f19]) ).
fof(f5886,plain,
( ~ sorti2(h(op1(sK1(j(sK0)),sK1(j(sK0)))))
| spl2_33 ),
inference(avatar_component_clause,[],[f5884]) ).
fof(f5884,plain,
( spl2_33
<=> sorti2(h(op1(sK1(j(sK0)),sK1(j(sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).
fof(f5916,plain,
( ~ spl2_2
| spl2_34 ),
inference(avatar_contradiction_clause,[],[f5915]) ).
fof(f5915,plain,
( $false
| ~ spl2_2
| spl2_34 ),
inference(subsumption_resolution,[],[f5914,f72]) ).
fof(f5914,plain,
( ~ sorti1(sK1(j(sK0)))
| spl2_34 ),
inference(duplicate_literal_removal,[],[f5913]) ).
fof(f5913,plain,
( ~ sorti1(sK1(j(sK0)))
| ~ sorti1(sK1(j(sK0)))
| spl2_34 ),
inference(resolution,[],[f5889,f27]) ).
fof(f5889,plain,
( ~ sorti1(op1(sK1(j(sK0)),sK1(j(sK0))))
| spl2_34 ),
inference(avatar_component_clause,[],[f5888]) ).
fof(f5891,plain,
( ~ spl2_33
| spl2_34
| ~ spl2_2
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f4289,f147,f70,f5888,f5884]) ).
fof(f4289,plain,
( sorti1(op1(sK1(j(sK0)),sK1(j(sK0))))
| ~ sorti2(h(op1(sK1(j(sK0)),sK1(j(sK0)))))
| ~ spl2_2
| ~ spl2_5 ),
inference(superposition,[],[f20,f1357]) ).
fof(f1357,plain,
( op1(sK1(j(sK0)),sK1(j(sK0))) = j(h(op1(sK1(j(sK0)),sK1(j(sK0)))))
| ~ spl2_2
| ~ spl2_5 ),
inference(resolution,[],[f884,f72]) ).
fof(f884,plain,
( ! [X0] :
( ~ sorti1(X0)
| op1(sK1(j(sK0)),X0) = j(h(op1(sK1(j(sK0)),X0))) )
| ~ spl2_5 ),
inference(resolution,[],[f196,f148]) ).
fof(f196,plain,
! [X0,X1] :
( ~ sorti1(X1)
| op1(sK1(X1),X0) = j(h(op1(sK1(X1),X0)))
| ~ sorti1(X0) ),
inference(resolution,[],[f45,f29]) ).
fof(f45,plain,
! [X0,X1] :
( ~ sorti1(X1)
| ~ sorti1(X0)
| op1(X1,X0) = j(h(op1(X1,X0))) ),
inference(resolution,[],[f27,f24]) ).
fof(f5748,plain,
( spl2_31
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f5747]) ).
fof(f5747,plain,
( $false
| spl2_31
| ~ spl2_32 ),
inference(subsumption_resolution,[],[f5746,f5612]) ).
fof(f5612,plain,
( sorti1(sK1(j(op2(sK0,op2(sK0,sK0)))))
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f5610]) ).
fof(f5610,plain,
( spl2_32
<=> sorti1(sK1(j(op2(sK0,op2(sK0,sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).
fof(f5746,plain,
( ~ sorti1(sK1(j(op2(sK0,op2(sK0,sK0)))))
| spl2_31 ),
inference(resolution,[],[f5608,f19]) ).
fof(f5608,plain,
( ~ sorti2(h(sK1(j(op2(sK0,op2(sK0,sK0))))))
| spl2_31 ),
inference(avatar_component_clause,[],[f5606]) ).
fof(f5606,plain,
( spl2_31
<=> sorti2(h(sK1(j(op2(sK0,op2(sK0,sK0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).
fof(f5616,plain,
( ~ spl2_11
| spl2_32 ),
inference(avatar_contradiction_clause,[],[f5615]) ).
fof(f5615,plain,
( $false
| ~ spl2_11
| spl2_32 ),
inference(subsumption_resolution,[],[f5614,f438]) ).
fof(f5614,plain,
( ~ sorti1(j(op2(sK0,op2(sK0,sK0))))
| spl2_32 ),
inference(resolution,[],[f5611,f29]) ).
fof(f5611,plain,
( ~ sorti1(sK1(j(op2(sK0,op2(sK0,sK0)))))
| spl2_32 ),
inference(avatar_component_clause,[],[f5610]) ).
fof(f5613,plain,
( ~ spl2_31
| spl2_32
| ~ spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f4103,f151,f147,f5610,f5606]) ).
fof(f4103,plain,
( sorti1(sK1(j(op2(sK0,op2(sK0,sK0)))))
| ~ sorti2(h(sK1(j(op2(sK0,op2(sK0,sK0))))))
| ~ spl2_5
| ~ spl2_6 ),
inference(superposition,[],[f20,f1308]) ).
fof(f1308,plain,
( sK1(j(op2(sK0,op2(sK0,sK0)))) = j(h(sK1(j(op2(sK0,op2(sK0,sK0))))))
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f1296,f723]) ).
fof(f723,plain,
( j(op2(sK0,op2(sK0,sK0))) = op1(j(sK0),j(op2(sK0,sK0)))
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f722,f184]) ).
fof(f722,plain,
( j(op2(sK0,h(j(op2(sK0,sK0))))) = op1(j(sK0),j(op2(sK0,sK0)))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f711,f169]) ).
fof(f711,plain,
( j(op2(sK0,h(j(op2(sK0,sK0))))) = op1(j(sK0),j(h(j(op2(sK0,sK0)))))
| ~ spl2_6 ),
inference(resolution,[],[f693,f153]) ).
fof(f1296,plain,
( sK1(op1(j(sK0),j(op2(sK0,sK0)))) = j(h(sK1(op1(j(sK0),j(op2(sK0,sK0))))))
| ~ spl2_5
| ~ spl2_6 ),
inference(resolution,[],[f800,f153]) ).
fof(f800,plain,
( ! [X0] :
( ~ sorti1(X0)
| sK1(op1(j(sK0),X0)) = j(h(sK1(op1(j(sK0),X0)))) )
| ~ spl2_5 ),
inference(resolution,[],[f43,f148]) ).
fof(f43,plain,
! [X0,X1] :
( ~ sorti1(X1)
| ~ sorti1(X0)
| sK1(op1(X1,X0)) = j(h(sK1(op1(X1,X0)))) ),
inference(resolution,[],[f27,f36]) ).
fof(f5470,plain,
( spl2_29
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f5469]) ).
fof(f5469,plain,
( $false
| spl2_29
| ~ spl2_30 ),
inference(subsumption_resolution,[],[f5468,f5316]) ).
fof(f5316,plain,
( sorti1(sK1(op1(j(sK0),sK1(j(sK0)))))
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f5314]) ).
fof(f5314,plain,
( spl2_30
<=> sorti1(sK1(op1(j(sK0),sK1(j(sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).
fof(f5468,plain,
( ~ sorti1(sK1(op1(j(sK0),sK1(j(sK0)))))
| spl2_29 ),
inference(resolution,[],[f5312,f19]) ).
fof(f5312,plain,
( ~ sorti2(h(sK1(op1(j(sK0),sK1(j(sK0))))))
| spl2_29 ),
inference(avatar_component_clause,[],[f5310]) ).
fof(f5310,plain,
( spl2_29
<=> sorti2(h(sK1(op1(j(sK0),sK1(j(sK0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).
fof(f5320,plain,
( ~ spl2_16
| spl2_30 ),
inference(avatar_contradiction_clause,[],[f5319]) ).
fof(f5319,plain,
( $false
| ~ spl2_16
| spl2_30 ),
inference(subsumption_resolution,[],[f5318,f743]) ).
fof(f743,plain,
( sorti1(op1(j(sK0),sK1(j(sK0))))
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f741,plain,
( spl2_16
<=> sorti1(op1(j(sK0),sK1(j(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f5318,plain,
( ~ sorti1(op1(j(sK0),sK1(j(sK0))))
| spl2_30 ),
inference(resolution,[],[f5315,f29]) ).
fof(f5315,plain,
( ~ sorti1(sK1(op1(j(sK0),sK1(j(sK0)))))
| spl2_30 ),
inference(avatar_component_clause,[],[f5314]) ).
fof(f5317,plain,
( ~ spl2_29
| spl2_30
| ~ spl2_2
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f4102,f147,f70,f5314,f5310]) ).
fof(f4102,plain,
( sorti1(sK1(op1(j(sK0),sK1(j(sK0)))))
| ~ sorti2(h(sK1(op1(j(sK0),sK1(j(sK0))))))
| ~ spl2_2
| ~ spl2_5 ),
inference(superposition,[],[f20,f1300]) ).
fof(f1300,plain,
( sK1(op1(j(sK0),sK1(j(sK0)))) = j(h(sK1(op1(j(sK0),sK1(j(sK0))))))
| ~ spl2_2
| ~ spl2_5 ),
inference(resolution,[],[f800,f72]) ).
fof(f5174,plain,
( spl2_27
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f5173]) ).
fof(f5173,plain,
( $false
| spl2_27
| ~ spl2_28 ),
inference(subsumption_resolution,[],[f5172,f5038]) ).
fof(f5038,plain,
( sorti1(sK1(sK1(sK1(sK1(sK1(j(sK0)))))))
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f5036]) ).
fof(f5036,plain,
( spl2_28
<=> sorti1(sK1(sK1(sK1(sK1(sK1(j(sK0))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).
fof(f5172,plain,
( ~ sorti1(sK1(sK1(sK1(sK1(sK1(j(sK0)))))))
| spl2_27 ),
inference(resolution,[],[f5034,f19]) ).
fof(f5034,plain,
( ~ sorti2(h(sK1(sK1(sK1(sK1(sK1(j(sK0))))))))
| spl2_27 ),
inference(avatar_component_clause,[],[f5032]) ).
fof(f5032,plain,
( spl2_27
<=> sorti2(h(sK1(sK1(sK1(sK1(sK1(j(sK0)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).
fof(f5042,plain,
( ~ spl2_20
| spl2_28 ),
inference(avatar_contradiction_clause,[],[f5041]) ).
fof(f5041,plain,
( $false
| ~ spl2_20
| spl2_28 ),
inference(subsumption_resolution,[],[f5040,f1629]) ).
fof(f1629,plain,
( sorti1(sK1(sK1(sK1(sK1(j(sK0))))))
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f1627,plain,
( spl2_20
<=> sorti1(sK1(sK1(sK1(sK1(j(sK0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).
fof(f5040,plain,
( ~ sorti1(sK1(sK1(sK1(sK1(j(sK0))))))
| spl2_28 ),
inference(resolution,[],[f5037,f29]) ).
fof(f5037,plain,
( ~ sorti1(sK1(sK1(sK1(sK1(sK1(j(sK0)))))))
| spl2_28 ),
inference(avatar_component_clause,[],[f5036]) ).
fof(f5039,plain,
( ~ spl2_27
| spl2_28
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f3962,f70,f5036,f5032]) ).
fof(f3962,plain,
( sorti1(sK1(sK1(sK1(sK1(sK1(j(sK0)))))))
| ~ sorti2(h(sK1(sK1(sK1(sK1(sK1(j(sK0))))))))
| ~ spl2_2 ),
inference(superposition,[],[f20,f1229]) ).
fof(f1229,plain,
( sK1(sK1(sK1(sK1(sK1(j(sK0)))))) = j(h(sK1(sK1(sK1(sK1(sK1(j(sK0))))))))
| ~ spl2_2 ),
inference(resolution,[],[f289,f72]) ).
fof(f289,plain,
! [X0] :
( ~ sorti1(X0)
| sK1(sK1(sK1(sK1(X0)))) = j(h(sK1(sK1(sK1(sK1(X0)))))) ),
inference(resolution,[],[f96,f29]) ).
fof(f96,plain,
! [X0] :
( ~ sorti1(X0)
| sK1(sK1(sK1(X0))) = j(h(sK1(sK1(sK1(X0))))) ),
inference(resolution,[],[f42,f29]) ).
fof(f42,plain,
! [X0] :
( ~ sorti1(X0)
| sK1(sK1(X0)) = j(h(sK1(sK1(X0)))) ),
inference(resolution,[],[f36,f29]) ).
fof(f4723,plain,
( spl2_25
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f4722]) ).
fof(f4722,plain,
( $false
| spl2_25
| ~ spl2_26 ),
inference(subsumption_resolution,[],[f4721,f4576]) ).
fof(f4576,plain,
( sorti1(sK1(sK1(sK1(j(op2(sK0,sK0))))))
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f4574]) ).
fof(f4574,plain,
( spl2_26
<=> sorti1(sK1(sK1(sK1(j(op2(sK0,sK0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).
fof(f4721,plain,
( ~ sorti1(sK1(sK1(sK1(j(op2(sK0,sK0))))))
| spl2_25 ),
inference(resolution,[],[f4572,f19]) ).
fof(f4572,plain,
( ~ sorti2(h(sK1(sK1(sK1(j(op2(sK0,sK0)))))))
| spl2_25 ),
inference(avatar_component_clause,[],[f4570]) ).
fof(f4570,plain,
( spl2_25
<=> sorti2(h(sK1(sK1(sK1(j(op2(sK0,sK0))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).
fof(f4596,plain,
( ~ spl2_18
| spl2_26 ),
inference(avatar_contradiction_clause,[],[f4595]) ).
fof(f4595,plain,
( $false
| ~ spl2_18
| spl2_26 ),
inference(subsumption_resolution,[],[f4594,f1464]) ).
fof(f1464,plain,
( sorti1(sK1(sK1(j(op2(sK0,sK0)))))
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f1462,plain,
( spl2_18
<=> sorti1(sK1(sK1(j(op2(sK0,sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
fof(f4594,plain,
( ~ sorti1(sK1(sK1(j(op2(sK0,sK0)))))
| spl2_26 ),
inference(resolution,[],[f4575,f29]) ).
fof(f4575,plain,
( ~ sorti1(sK1(sK1(sK1(j(op2(sK0,sK0))))))
| spl2_26 ),
inference(avatar_component_clause,[],[f4574]) ).
fof(f4577,plain,
( ~ spl2_25
| spl2_26
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f2956,f151,f4574,f4570]) ).
fof(f2956,plain,
( sorti1(sK1(sK1(sK1(j(op2(sK0,sK0))))))
| ~ sorti2(h(sK1(sK1(sK1(j(op2(sK0,sK0)))))))
| ~ spl2_6 ),
inference(superposition,[],[f20,f288]) ).
fof(f288,plain,
( sK1(sK1(sK1(j(op2(sK0,sK0))))) = j(h(sK1(sK1(sK1(j(op2(sK0,sK0)))))))
| ~ spl2_6 ),
inference(resolution,[],[f96,f153]) ).
fof(f2303,plain,
( ~ spl2_3
| spl2_23 ),
inference(avatar_contradiction_clause,[],[f2302]) ).
fof(f2302,plain,
( $false
| ~ spl2_3
| spl2_23 ),
inference(subsumption_resolution,[],[f2301,f25]) ).
fof(f2301,plain,
( ~ sorti2(sK0)
| ~ spl2_3
| spl2_23 ),
inference(subsumption_resolution,[],[f2300,f107]) ).
fof(f107,plain,
( sorti2(h(sK1(sK1(j(sK0)))))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl2_3
<=> sorti2(h(sK1(sK1(j(sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f2300,plain,
( ~ sorti2(h(sK1(sK1(j(sK0)))))
| ~ sorti2(sK0)
| spl2_23 ),
inference(resolution,[],[f2294,f28]) ).
fof(f2294,plain,
( ~ sorti2(op2(sK0,h(sK1(sK1(j(sK0))))))
| spl2_23 ),
inference(avatar_component_clause,[],[f2292]) ).
fof(f2292,plain,
( spl2_23
<=> sorti2(op2(sK0,h(sK1(sK1(j(sK0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).
fof(f2299,plain,
( ~ spl2_23
| spl2_24
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f1997,f70,f2296,f2292]) ).
fof(f2296,plain,
( spl2_24
<=> sorti1(op1(j(sK0),sK1(sK1(j(sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).
fof(f1997,plain,
( sorti1(op1(j(sK0),sK1(sK1(j(sK0)))))
| ~ sorti2(op2(sK0,h(sK1(sK1(j(sK0))))))
| ~ spl2_2 ),
inference(superposition,[],[f20,f1895]) ).
fof(f1895,plain,
( j(op2(sK0,h(sK1(sK1(j(sK0)))))) = op1(j(sK0),sK1(sK1(j(sK0))))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1884,f81]) ).
fof(f81,plain,
( sK1(sK1(j(sK0))) = j(h(sK1(sK1(j(sK0)))))
| ~ spl2_2 ),
inference(resolution,[],[f72,f36]) ).
fof(f1884,plain,
( j(op2(sK0,h(sK1(sK1(j(sK0)))))) = op1(j(sK0),j(h(sK1(sK1(j(sK0))))))
| ~ spl2_2 ),
inference(resolution,[],[f714,f72]) ).
fof(f714,plain,
! [X0] :
( ~ sorti1(X0)
| j(op2(sK0,h(sK1(X0)))) = op1(j(sK0),j(h(sK1(X0)))) ),
inference(resolution,[],[f693,f29]) ).
fof(f2115,plain,
( ~ spl2_3
| spl2_21 ),
inference(avatar_contradiction_clause,[],[f2114]) ).
fof(f2114,plain,
( $false
| ~ spl2_3
| spl2_21 ),
inference(subsumption_resolution,[],[f2113,f107]) ).
fof(f2113,plain,
( ~ sorti2(h(sK1(sK1(j(sK0)))))
| spl2_21 ),
inference(subsumption_resolution,[],[f2112,f25]) ).
fof(f2112,plain,
( ~ sorti2(sK0)
| ~ sorti2(h(sK1(sK1(j(sK0)))))
| spl2_21 ),
inference(resolution,[],[f2106,f28]) ).
fof(f2106,plain,
( ~ sorti2(op2(h(sK1(sK1(j(sK0)))),sK0))
| spl2_21 ),
inference(avatar_component_clause,[],[f2104]) ).
fof(f2104,plain,
( spl2_21
<=> sorti2(op2(h(sK1(sK1(j(sK0)))),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).
fof(f2111,plain,
( ~ spl2_21
| spl2_22
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f1996,f70,f2108,f2104]) ).
fof(f2108,plain,
( spl2_22
<=> sorti1(op1(sK1(sK1(j(sK0))),j(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).
fof(f1996,plain,
( sorti1(op1(sK1(sK1(j(sK0))),j(sK0)))
| ~ sorti2(op2(h(sK1(sK1(j(sK0)))),sK0))
| ~ spl2_2 ),
inference(superposition,[],[f20,f1836]) ).
fof(f1836,plain,
( j(op2(h(sK1(sK1(j(sK0)))),sK0)) = op1(sK1(sK1(j(sK0))),j(sK0))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1825,f81]) ).
fof(f1825,plain,
( j(op2(h(sK1(sK1(j(sK0)))),sK0)) = op1(j(h(sK1(sK1(j(sK0))))),j(sK0))
| ~ spl2_2 ),
inference(resolution,[],[f511,f72]) ).
fof(f511,plain,
! [X0] :
( ~ sorti1(X0)
| j(op2(h(sK1(X0)),sK0)) = op1(j(h(sK1(X0))),j(sK0)) ),
inference(resolution,[],[f138,f29]) ).
fof(f1690,plain,
( spl2_19
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f1689]) ).
fof(f1689,plain,
( $false
| spl2_19
| ~ spl2_20 ),
inference(subsumption_resolution,[],[f1688,f1629]) ).
fof(f1688,plain,
( ~ sorti1(sK1(sK1(sK1(sK1(j(sK0))))))
| spl2_19 ),
inference(resolution,[],[f1625,f19]) ).
fof(f1625,plain,
( ~ sorti2(h(sK1(sK1(sK1(sK1(j(sK0)))))))
| spl2_19 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f1623,plain,
( spl2_19
<=> sorti2(h(sK1(sK1(sK1(sK1(j(sK0))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
fof(f1633,plain,
( ~ spl2_10
| spl2_20 ),
inference(avatar_contradiction_clause,[],[f1632]) ).
fof(f1632,plain,
( $false
| ~ spl2_10
| spl2_20 ),
inference(subsumption_resolution,[],[f1631,f386]) ).
fof(f386,plain,
( sorti1(sK1(sK1(sK1(j(sK0)))))
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl2_10
<=> sorti1(sK1(sK1(sK1(j(sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f1631,plain,
( ~ sorti1(sK1(sK1(sK1(j(sK0)))))
| spl2_20 ),
inference(resolution,[],[f1628,f29]) ).
fof(f1628,plain,
( ~ sorti1(sK1(sK1(sK1(sK1(j(sK0))))))
| spl2_20 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f1630,plain,
( ~ spl2_19
| spl2_20
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f1418,f70,f1627,f1623]) ).
fof(f1418,plain,
( sorti1(sK1(sK1(sK1(sK1(j(sK0))))))
| ~ sorti2(h(sK1(sK1(sK1(sK1(j(sK0)))))))
| ~ spl2_2 ),
inference(superposition,[],[f20,f290]) ).
fof(f290,plain,
( sK1(sK1(sK1(sK1(j(sK0))))) = j(h(sK1(sK1(sK1(sK1(j(sK0)))))))
| ~ spl2_2 ),
inference(resolution,[],[f96,f72]) ).
fof(f1535,plain,
( spl2_17
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f1534]) ).
fof(f1534,plain,
( $false
| spl2_17
| ~ spl2_18 ),
inference(subsumption_resolution,[],[f1533,f1464]) ).
fof(f1533,plain,
( ~ sorti1(sK1(sK1(j(op2(sK0,sK0)))))
| spl2_17 ),
inference(resolution,[],[f1460,f19]) ).
fof(f1460,plain,
( ~ sorti2(h(sK1(sK1(j(op2(sK0,sK0))))))
| spl2_17 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f1458,plain,
( spl2_17
<=> sorti2(h(sK1(sK1(j(op2(sK0,sK0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
fof(f1468,plain,
( ~ spl2_8
| spl2_18 ),
inference(avatar_contradiction_clause,[],[f1467]) ).
fof(f1467,plain,
( $false
| ~ spl2_8
| spl2_18 ),
inference(subsumption_resolution,[],[f1466,f321]) ).
fof(f321,plain,
( sorti1(sK1(j(op2(sK0,sK0))))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f319,plain,
( spl2_8
<=> sorti1(sK1(j(op2(sK0,sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f1466,plain,
( ~ sorti1(sK1(j(op2(sK0,sK0))))
| spl2_18 ),
inference(resolution,[],[f1463,f29]) ).
fof(f1463,plain,
( ~ sorti1(sK1(sK1(j(op2(sK0,sK0)))))
| spl2_18 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f1465,plain,
( ~ spl2_17
| spl2_18
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f929,f151,f1462,f1458]) ).
fof(f929,plain,
( sorti1(sK1(sK1(j(op2(sK0,sK0)))))
| ~ sorti2(h(sK1(sK1(j(op2(sK0,sK0))))))
| ~ spl2_6 ),
inference(superposition,[],[f20,f174]) ).
fof(f174,plain,
( sK1(sK1(j(op2(sK0,sK0)))) = j(h(sK1(sK1(j(op2(sK0,sK0))))))
| ~ spl2_6 ),
inference(resolution,[],[f153,f42]) ).
fof(f748,plain,
( ~ spl2_1
| spl2_15 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f747,plain,
( $false
| ~ spl2_1
| spl2_15 ),
inference(subsumption_resolution,[],[f746,f25]) ).
fof(f746,plain,
( ~ sorti2(sK0)
| ~ spl2_1
| spl2_15 ),
inference(subsumption_resolution,[],[f745,f67]) ).
fof(f745,plain,
( ~ sorti2(h(sK1(j(sK0))))
| ~ sorti2(sK0)
| spl2_15 ),
inference(resolution,[],[f739,f28]) ).
fof(f739,plain,
( ~ sorti2(op2(sK0,h(sK1(j(sK0)))))
| spl2_15 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f737,plain,
( spl2_15
<=> sorti2(op2(sK0,h(sK1(j(sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f744,plain,
( ~ spl2_15
| spl2_16
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f735,f70,f741,f737]) ).
fof(f735,plain,
( sorti1(op1(j(sK0),sK1(j(sK0))))
| ~ sorti2(op2(sK0,h(sK1(j(sK0)))))
| ~ spl2_2 ),
inference(superposition,[],[f20,f726]) ).
fof(f726,plain,
( j(op2(sK0,h(sK1(j(sK0))))) = op1(j(sK0),sK1(j(sK0)))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f715,f61]) ).
fof(f715,plain,
( j(op2(sK0,h(sK1(j(sK0))))) = op1(j(sK0),j(h(sK1(j(sK0)))))
| ~ spl2_2 ),
inference(resolution,[],[f693,f72]) ).
fof(f620,plain,
( ~ spl2_1
| spl2_13 ),
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f619,plain,
( $false
| ~ spl2_1
| spl2_13 ),
inference(subsumption_resolution,[],[f618,f67]) ).
fof(f618,plain,
( ~ sorti2(h(sK1(j(sK0))))
| spl2_13 ),
inference(subsumption_resolution,[],[f617,f25]) ).
fof(f617,plain,
( ~ sorti2(sK0)
| ~ sorti2(h(sK1(j(sK0))))
| spl2_13 ),
inference(resolution,[],[f611,f28]) ).
fof(f611,plain,
( ~ sorti2(op2(h(sK1(j(sK0))),sK0))
| spl2_13 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f616,plain,
( ~ spl2_13
| spl2_14
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f546,f66,f613,f609]) ).
fof(f546,plain,
( sorti1(op1(sK1(j(sK0)),j(sK0)))
| ~ sorti2(op2(h(sK1(j(sK0))),sK0))
| ~ spl2_1 ),
inference(superposition,[],[f20,f142]) ).
fof(f465,plain,
( spl2_11
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f464,plain,
( $false
| spl2_11
| ~ spl2_12 ),
inference(subsumption_resolution,[],[f463,f443]) ).
fof(f463,plain,
( ~ sorti2(op2(sK0,op2(sK0,sK0)))
| spl2_11 ),
inference(resolution,[],[f439,f20]) ).
fof(f439,plain,
( ~ sorti1(j(op2(sK0,op2(sK0,sK0))))
| spl2_11 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f448,plain,
( ~ spl2_5
| ~ spl2_6
| spl2_12 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f447,plain,
( $false
| ~ spl2_5
| ~ spl2_6
| spl2_12 ),
inference(subsumption_resolution,[],[f446,f25]) ).
fof(f446,plain,
( ~ sorti2(sK0)
| ~ spl2_5
| ~ spl2_6
| spl2_12 ),
inference(subsumption_resolution,[],[f445,f186]) ).
fof(f445,plain,
( ~ sorti2(op2(sK0,sK0))
| ~ sorti2(sK0)
| spl2_12 ),
inference(resolution,[],[f442,f28]) ).
fof(f442,plain,
( ~ sorti2(op2(sK0,op2(sK0,sK0)))
| spl2_12 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f444,plain,
( ~ spl2_11
| spl2_12
| ~ spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f313,f151,f147,f441,f437]) ).
fof(f313,plain,
( sorti2(op2(sK0,op2(sK0,sK0)))
| ~ sorti1(j(op2(sK0,op2(sK0,sK0))))
| ~ spl2_5
| ~ spl2_6 ),
inference(superposition,[],[f19,f301]) ).
fof(f413,plain,
( spl2_9
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[],[f412]) ).
fof(f412,plain,
( $false
| spl2_9
| ~ spl2_10 ),
inference(subsumption_resolution,[],[f411,f386]) ).
fof(f411,plain,
( ~ sorti1(sK1(sK1(sK1(j(sK0)))))
| spl2_9 ),
inference(resolution,[],[f382,f19]) ).
fof(f382,plain,
( ~ sorti2(h(sK1(sK1(sK1(j(sK0))))))
| spl2_9 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl2_9
<=> sorti2(h(sK1(sK1(sK1(j(sK0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f390,plain,
( ~ spl2_4
| spl2_10 ),
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f389,plain,
( $false
| ~ spl2_4
| spl2_10 ),
inference(subsumption_resolution,[],[f388,f112]) ).
fof(f112,plain,
( sorti1(sK1(sK1(j(sK0))))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl2_4
<=> sorti1(sK1(sK1(j(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f388,plain,
( ~ sorti1(sK1(sK1(j(sK0))))
| spl2_10 ),
inference(resolution,[],[f385,f29]) ).
fof(f385,plain,
( ~ sorti1(sK1(sK1(sK1(j(sK0)))))
| spl2_10 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f387,plain,
( ~ spl2_9
| spl2_10
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f312,f147,f384,f380]) ).
fof(f312,plain,
( sorti1(sK1(sK1(sK1(j(sK0)))))
| ~ sorti2(h(sK1(sK1(sK1(j(sK0))))))
| ~ spl2_5 ),
inference(superposition,[],[f20,f287]) ).
fof(f287,plain,
( sK1(sK1(sK1(j(sK0)))) = j(h(sK1(sK1(sK1(j(sK0))))))
| ~ spl2_5 ),
inference(resolution,[],[f96,f148]) ).
fof(f348,plain,
( spl2_7
| ~ spl2_8 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| spl2_7
| ~ spl2_8 ),
inference(subsumption_resolution,[],[f346,f321]) ).
fof(f346,plain,
( ~ sorti1(sK1(j(op2(sK0,sK0))))
| spl2_7 ),
inference(resolution,[],[f317,f19]) ).
fof(f317,plain,
( ~ sorti2(h(sK1(j(op2(sK0,sK0)))))
| spl2_7 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f315,plain,
( spl2_7
<=> sorti2(h(sK1(j(op2(sK0,sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f325,plain,
( ~ spl2_6
| spl2_8 ),
inference(avatar_contradiction_clause,[],[f324]) ).
fof(f324,plain,
( $false
| ~ spl2_6
| spl2_8 ),
inference(subsumption_resolution,[],[f323,f153]) ).
fof(f323,plain,
( ~ sorti1(j(op2(sK0,sK0)))
| spl2_8 ),
inference(resolution,[],[f320,f29]) ).
fof(f320,plain,
( ~ sorti1(sK1(j(op2(sK0,sK0))))
| spl2_8 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f322,plain,
( ~ spl2_7
| spl2_8
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f302,f151,f319,f315]) ).
fof(f302,plain,
( sorti1(sK1(j(op2(sK0,sK0))))
| ~ sorti2(h(sK1(j(op2(sK0,sK0)))))
| ~ spl2_6 ),
inference(superposition,[],[f20,f171]) ).
fof(f171,plain,
( sK1(j(op2(sK0,sK0))) = j(h(sK1(j(op2(sK0,sK0)))))
| ~ spl2_6 ),
inference(resolution,[],[f153,f36]) ).
fof(f157,plain,
spl2_5,
inference(avatar_contradiction_clause,[],[f156]) ).
fof(f156,plain,
( $false
| spl2_5 ),
inference(subsumption_resolution,[],[f155,f25]) ).
fof(f155,plain,
( ~ sorti2(sK0)
| spl2_5 ),
inference(resolution,[],[f149,f20]) ).
fof(f149,plain,
( ~ sorti1(j(sK0))
| spl2_5 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f154,plain,
( ~ spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f145,f151,f147]) ).
fof(f145,plain,
( sorti1(j(op2(sK0,sK0)))
| ~ sorti1(j(sK0)) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f144,plain,
( sorti1(j(op2(sK0,sK0)))
| ~ sorti1(j(sK0))
| ~ sorti1(j(sK0)) ),
inference(superposition,[],[f27,f137]) ).
fof(f127,plain,
( spl2_3
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f126]) ).
fof(f126,plain,
( $false
| spl2_3
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f125,f112]) ).
fof(f125,plain,
( ~ sorti1(sK1(sK1(j(sK0))))
| spl2_3 ),
inference(resolution,[],[f108,f19]) ).
fof(f108,plain,
( ~ sorti2(h(sK1(sK1(j(sK0)))))
| spl2_3 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f116,plain,
( ~ spl2_2
| spl2_4 ),
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f115,plain,
( $false
| ~ spl2_2
| spl2_4 ),
inference(subsumption_resolution,[],[f114,f72]) ).
fof(f114,plain,
( ~ sorti1(sK1(j(sK0)))
| spl2_4 ),
inference(resolution,[],[f111,f29]) ).
fof(f111,plain,
( ~ sorti1(sK1(sK1(j(sK0))))
| spl2_4 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( ~ spl2_3
| spl2_4
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f104,f70,f110,f106]) ).
fof(f104,plain,
( sorti1(sK1(sK1(j(sK0))))
| ~ sorti2(h(sK1(sK1(j(sK0)))))
| ~ spl2_2 ),
inference(superposition,[],[f20,f81]) ).
fof(f87,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f86]) ).
fof(f86,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f85,f72]) ).
fof(f85,plain,
( ~ sorti1(sK1(j(sK0)))
| spl2_1 ),
inference(resolution,[],[f68,f19]) ).
fof(f68,plain,
( ~ sorti2(h(sK1(j(sK0))))
| spl2_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f77,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| spl2_2 ),
inference(subsumption_resolution,[],[f75,f25]) ).
fof(f75,plain,
( ~ sorti2(sK0)
| spl2_2 ),
inference(resolution,[],[f74,f20]) ).
fof(f74,plain,
( ~ sorti1(j(sK0))
| spl2_2 ),
inference(resolution,[],[f71,f29]) ).
fof(f71,plain,
( ~ sorti1(sK1(j(sK0)))
| spl2_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f64,f70,f66]) ).
fof(f64,plain,
( sorti1(sK1(j(sK0)))
| ~ sorti2(h(sK1(j(sK0)))) ),
inference(superposition,[],[f20,f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG071+1 : TPTP v8.2.0. Released v2.7.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 22:52:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (13481)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (13485)WARNING: value z3 for option sas not known
% 0.14/0.38 % (13486)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (13484)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (13485)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (13487)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (13483)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (13488)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (13489)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.22/0.43 TRYING [5]
% 0.22/0.45 TRYING [5]
% 2.00/0.68 TRYING [6]
% 2.52/0.73 TRYING [6]
% 2.52/0.76 % (13485)First to succeed.
% 2.52/0.76 % (13485)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13481"
% 2.52/0.76 % (13485)Refutation found. Thanks to Tanya!
% 2.52/0.76 % SZS status Theorem for theBenchmark
% 2.52/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 2.52/0.76 % (13485)------------------------------
% 2.52/0.76 % (13485)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.52/0.76 % (13485)Termination reason: Refutation
% 2.52/0.76
% 2.52/0.76 % (13485)Memory used [KB]: 4068
% 2.52/0.76 % (13485)Time elapsed: 0.386 s
% 2.52/0.76 % (13485)Instructions burned: 1537 (million)
% 2.52/0.76 % (13481)Success in time 0.4 s
%------------------------------------------------------------------------------