%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT345+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:08 AM UTC 2026
% Result : Theorem 9.54s 3.16s
% Output : Refutation 10.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 10
% Syntax : Number of formulae : 127 ( 23 unt; 3 def)
% Number of atoms : 546 ( 112 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 722 ( 303 ~; 330 |; 71 &)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 120 ( 0 sgn 116 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18287,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& l2_conlat_1(k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
fof(f18288,axiom,
! [X0,X1] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0)
& l3_conlat_1(X1,X0) )
=> ( v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_conlat_2) ).
fof(f18289,axiom,
! [X0,X1] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
=> ( v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_conlat_2) ).
fof(f18290,axiom,
! [X0,X1] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
=> k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_conlat_2) ).
fof(f18320,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) )
=> k7_conlat_2(k7_conlat_2(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_conlat_2) ).
fof(f18323,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( l3_conlat_1(X1,X0)
=> ! [X2] :
( ( v6_conlat_1(X2,k7_conlat_2(X0))
& l3_conlat_1(X2,k7_conlat_2(X0)) )
=> ( X2 = k8_conlat_2(X0,X1)
<=> ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_conlat_2) ).
fof(f18324,conjecture,
! [X0] :
( ( ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( ( v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
=> k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_conlat_2) ).
fof(f18325,negated_conjecture,
~ ! [X0] :
( ( ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( ( v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
=> k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) = X1 ) ),
inference(negated_conjecture,[status(cth)],[f18324]) ).
fof(f18332,plain,
? [X0] :
( ? [X1] :
( k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) != X1
& v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
& ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18325]) ).
fof(f18333,plain,
? [X0] :
( ? [X1] :
( k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) != X1
& v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
& ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(flattening,[],[f18332]) ).
fof(f18334,plain,
! [X0] :
( k7_conlat_2(k7_conlat_2(X0)) = X0
| v3_conlat_1(X0)
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18320]) ).
fof(f18335,plain,
! [X0] :
( k7_conlat_2(k7_conlat_2(X0)) = X0
| v3_conlat_1(X0)
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18334]) ).
fof(f18336,plain,
! [X0] :
( ( ~ v3_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& l2_conlat_1(k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18287]) ).
fof(f18337,plain,
! [X0] :
( ( ~ v3_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& l2_conlat_1(k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18336]) ).
fof(f18344,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k8_conlat_2(X0,X1)
<=> ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) ) )
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18323]) ).
fof(f18345,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k8_conlat_2(X0,X1)
<=> ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) ) )
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18344]) ).
fof(f18348,plain,
! [X0,X1] :
( ( v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(ennf_transformation,[],[f18289]) ).
fof(f18349,plain,
! [X0,X1] :
( ( v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(flattening,[],[f18348]) ).
fof(f18350,plain,
! [X0,X1] :
( ( v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ l3_conlat_1(X1,X0) ),
inference(ennf_transformation,[],[f18288]) ).
fof(f18351,plain,
! [X0,X1] :
( ( v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ l3_conlat_1(X1,X0) ),
inference(flattening,[],[f18350]) ).
fof(f18352,plain,
! [X0,X1] :
( k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(ennf_transformation,[],[f18290]) ).
fof(f18353,plain,
! [X0,X1] :
( k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(flattening,[],[f18352]) ).
fof(f18354,plain,
( sK1 != k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
& v6_conlat_1(sK1,sK0)
& ~ v7_conlat_1(sK1,sK0)
& v9_conlat_1(sK1,sK0)
& l3_conlat_1(sK1,sK0)
& ~ v3_conlat_1(sK0)
& v4_conlat_1(sK0)
& l2_conlat_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f18333]) ).
fof(f18361,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k8_conlat_2(X0,X1)
| u5_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(X0),X2)
| u4_conlat_1(X0,X1) != u5_conlat_1(k7_conlat_2(X0),X2) )
& ( ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) )
| k8_conlat_2(X0,X1) != X2 ) )
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(nnf_transformation,[],[f18345]) ).
fof(f18362,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k8_conlat_2(X0,X1)
| u5_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(X0),X2)
| u4_conlat_1(X0,X1) != u5_conlat_1(k7_conlat_2(X0),X2) )
& ( ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) )
| k8_conlat_2(X0,X1) != X2 ) )
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18361]) ).
fof(f18363,plain,
l2_conlat_1(sK0),
inference(cnf_transformation,[],[f18354]) ).
fof(f18364,plain,
v4_conlat_1(sK0),
inference(cnf_transformation,[],[f18354]) ).
fof(f18365,plain,
~ v3_conlat_1(sK0),
inference(cnf_transformation,[],[f18354]) ).
fof(f18366,plain,
l3_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f18354]) ).
fof(f18367,plain,
v9_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f18354]) ).
fof(f18368,plain,
~ v7_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f18354]) ).
fof(f18369,plain,
v6_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f18354]) ).
fof(f18370,plain,
sK1 != k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),
inference(cnf_transformation,[],[f18354]) ).
fof(f18372,plain,
! [X0] :
( v3_conlat_1(X0)
| k7_conlat_2(k7_conlat_2(X0)) = X0
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18335]) ).
fof(f18373,plain,
! [X0] :
( l2_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18337]) ).
fof(f18375,plain,
! [X0] :
( ~ v3_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18337]) ).
fof(f18391,plain,
! [X2,X0,X1] :
( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
| k8_conlat_2(X0,X1) != X2
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18362]) ).
fof(f18392,plain,
! [X2,X0,X1] :
( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2)
| k8_conlat_2(X0,X1) != X2
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18362]) ).
fof(f18393,plain,
! [X2,X0,X1] :
( u5_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(X0),X2)
| k8_conlat_2(X0,X1) = X2
| u4_conlat_1(X0,X1) != u5_conlat_1(k7_conlat_2(X0),X2)
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18362]) ).
fof(f18396,plain,
! [X0,X1] :
( v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f18349]) ).
fof(f18397,plain,
! [X0,X1] :
( ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f18349]) ).
fof(f18399,plain,
! [X0,X1] :
( l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f18351]) ).
fof(f18400,plain,
! [X0,X1] :
( v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f18351]) ).
fof(f18401,plain,
! [X0,X1] :
( v3_conlat_1(X0)
| k8_conlat_2(X0,X1) = k9_conlat_2(X0,X1)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f18353]) ).
fof(f18402,plain,
! [X0,X1] :
( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f18392]) ).
fof(f18403,plain,
! [X0,X1] :
( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f18391]) ).
fof(f18404,plain,
! [X0,X1] :
( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f18403,f18400]) ).
fof(f18405,plain,
! [X0,X1] :
( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f18402,f18400]) ).
fof(f18406,plain,
! [X0,X1] :
( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f18404,f18399]) ).
fof(f18407,plain,
! [X0,X1] :
( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f18405,f18399]) ).
fof(f18408,plain,
( sK0 = k7_conlat_2(k7_conlat_2(sK0))
| ~ v4_conlat_1(sK0)
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f18372,f18365]) ).
fof(f18413,plain,
( sK0 = k7_conlat_2(k7_conlat_2(sK0))
| ~ l2_conlat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f18408,f18364]) ).
fof(f18416,plain,
sK0 = k7_conlat_2(k7_conlat_2(sK0)),
inference(forward_subsumption_resolution,[],[f18413,f18363]) ).
fof(f18422,definition,
( spl8_1
<=> l2_conlat_1(k7_conlat_2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f18423,plain,
( l2_conlat_1(k7_conlat_2(sK0))
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f18422]) ).
fof(f18424,plain,
( ~ l2_conlat_1(k7_conlat_2(sK0))
| spl8_1 ),
inference(avatar_component_clause,[],[f18422]) ).
fof(f18426,definition,
( spl8_2
<=> v3_conlat_1(k7_conlat_2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f18427,plain,
( ~ v3_conlat_1(k7_conlat_2(sK0))
| spl8_2 ),
inference(avatar_component_clause,[],[f18426]) ).
fof(f18428,plain,
( v3_conlat_1(k7_conlat_2(sK0))
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f18426]) ).
fof(f18433,plain,
( v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| spl8_1 ),
inference(resolution,[],[f18424,f18373]) ).
fof(f18434,plain,
( ~ l2_conlat_1(sK0)
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f18433,f18365]) ).
fof(f18435,plain,
( $false
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f18434,f18363]) ).
fof(f18436,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f18435]) ).
fof(f18444,plain,
( v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| ~ spl8_2 ),
inference(resolution,[],[f18428,f18375]) ).
fof(f18445,plain,
( ~ l2_conlat_1(sK0)
| ~ spl8_2 ),
inference(forward_subsumption_resolution,[],[f18444,f18365]) ).
fof(f18446,plain,
( $false
| ~ spl8_2 ),
inference(forward_subsumption_resolution,[],[f18445,f18363]) ).
fof(f18447,plain,
~ spl8_2,
inference(avatar_contradiction_clause,[],[f18446]) ).
fof(f18467,plain,
! [X0] :
( k8_conlat_2(sK0,X0) = k9_conlat_2(sK0,X0)
| ~ l2_conlat_1(sK0)
| v7_conlat_1(X0,sK0)
| ~ v9_conlat_1(X0,sK0)
| ~ l3_conlat_1(X0,sK0) ),
inference(resolution,[],[f18401,f18365]) ).
fof(f18470,plain,
( ! [X0] :
( k8_conlat_2(k7_conlat_2(sK0),X0) = k9_conlat_2(k7_conlat_2(sK0),X0)
| ~ l2_conlat_1(k7_conlat_2(sK0))
| v7_conlat_1(X0,k7_conlat_2(sK0))
| ~ v9_conlat_1(X0,k7_conlat_2(sK0))
| ~ l3_conlat_1(X0,k7_conlat_2(sK0)) )
| spl8_2 ),
inference(resolution,[],[f18401,f18427]) ).
fof(f18471,plain,
( ! [X0] :
( ~ l3_conlat_1(X0,k7_conlat_2(sK0))
| v7_conlat_1(X0,k7_conlat_2(sK0))
| ~ v9_conlat_1(X0,k7_conlat_2(sK0))
| k8_conlat_2(k7_conlat_2(sK0),X0) = k9_conlat_2(k7_conlat_2(sK0),X0) )
| ~ spl8_1
| spl8_2 ),
inference(forward_subsumption_resolution,[],[f18470,f18423]) ).
fof(f18474,plain,
! [X0] :
( ~ v9_conlat_1(X0,sK0)
| v7_conlat_1(X0,sK0)
| k8_conlat_2(sK0,X0) = k9_conlat_2(sK0,X0)
| ~ l3_conlat_1(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f18467,f18363]) ).
fof(f18475,plain,
( v7_conlat_1(sK1,sK0)
| k9_conlat_2(sK0,sK1) = k8_conlat_2(sK0,sK1)
| ~ l3_conlat_1(sK1,sK0) ),
inference(resolution,[],[f18474,f18367]) ).
fof(f18480,plain,
( k9_conlat_2(sK0,sK1) = k8_conlat_2(sK0,sK1)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f18475,f18368]) ).
fof(f18483,plain,
k9_conlat_2(sK0,sK1) = k8_conlat_2(sK0,sK1),
inference(forward_subsumption_resolution,[],[f18480,f18366]) ).
fof(f18488,plain,
! [X2,X0,X1] :
( u4_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| k8_conlat_2(k7_conlat_2(X0),k8_conlat_2(X0,X1)) = X2
| u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| ~ v6_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| ~ l3_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(superposition,[],[f18393,f18406]) ).
fof(f18496,plain,
! [X2,X0,X1] :
( u4_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| k8_conlat_2(k7_conlat_2(X0),k8_conlat_2(X0,X1)) = X2
| u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| ~ v6_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| ~ l3_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f18488,f18399]) ).
fof(f18500,plain,
! [X2,X0,X1] :
( u4_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| k8_conlat_2(k7_conlat_2(X0),k8_conlat_2(X0,X1)) = X2
| u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| ~ v6_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| ~ l3_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| ~ l2_conlat_1(k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f18496,f18375]) ).
fof(f18502,plain,
! [X2,X0,X1] :
( v3_conlat_1(X0)
| k8_conlat_2(k7_conlat_2(X0),k8_conlat_2(X0,X1)) = X2
| u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| ~ v6_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| ~ l3_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| ~ l3_conlat_1(X1,X0)
| u4_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f18500,f18373]) ).
fof(f18503,plain,
sK1 != k9_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)),
inference(superposition,[],[f18370,f18483]) ).
fof(f18505,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(superposition,[],[f18397,f18483]) ).
fof(f18506,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(superposition,[],[f18396,f18483]) ).
fof(f18508,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ l2_conlat_1(sK0)
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f18506,f18365]) ).
fof(f18509,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ l2_conlat_1(sK0)
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f18505,f18365]) ).
fof(f18510,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f18508,f18363]) ).
fof(f18511,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f18509,f18363]) ).
fof(f18512,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f18510,f18368]) ).
fof(f18513,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f18511,f18368]) ).
fof(f18514,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f18512,f18367]) ).
fof(f18515,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f18513,f18367]) ).
fof(f18516,plain,
v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0)),
inference(forward_subsumption_resolution,[],[f18514,f18366]) ).
fof(f18517,plain,
~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0)),
inference(forward_subsumption_resolution,[],[f18515,f18366]) ).
fof(f18647,plain,
! [X0,X1] :
( k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X1) != u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0))
| ~ v6_conlat_1(X1,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X1,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X0,sK0)
| u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X1) != u4_conlat_1(sK0,X0)
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f18502,f18365]) ).
fof(f18654,plain,
! [X0,X1] :
( k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X1) != u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0))
| ~ v6_conlat_1(X1,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X1,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X0,sK0)
| u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X1) != u4_conlat_1(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f18647,f18363]) ).
fof(f18657,plain,
! [X0,X1] :
( u5_conlat_1(sK0,X1) != u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0))
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ v6_conlat_1(X1,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X1,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X0,sK0)
| u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X1) != u4_conlat_1(sK0,X0) ),
inference(forward_demodulation,[],[f18654,f18416]) ).
fof(f18660,plain,
! [X0,X1] :
( ~ v6_conlat_1(X1,sK0)
| u5_conlat_1(sK0,X1) != u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0))
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ l3_conlat_1(X1,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X0,sK0)
| u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X1) != u4_conlat_1(sK0,X0) ),
inference(forward_demodulation,[],[f18657,f18416]) ).
fof(f18663,plain,
! [X0,X1] :
( ~ l3_conlat_1(X1,sK0)
| ~ v6_conlat_1(X1,sK0)
| u5_conlat_1(sK0,X1) != u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0))
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ l3_conlat_1(X0,sK0)
| u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X1) != u4_conlat_1(sK0,X0) ),
inference(forward_demodulation,[],[f18660,f18416]) ).
fof(f18666,plain,
! [X0,X1] :
( u5_conlat_1(sK0,X1) != u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0))
| ~ l3_conlat_1(X1,sK0)
| ~ v6_conlat_1(X1,sK0)
| u4_conlat_1(sK0,X1) != u4_conlat_1(sK0,X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ l3_conlat_1(X0,sK0) ),
inference(forward_demodulation,[],[f18663,f18416]) ).
fof(f18732,plain,
! [X0,X1] :
( u5_conlat_1(sK0,X1) != u5_conlat_1(sK0,X0)
| ~ l3_conlat_1(X1,sK0)
| ~ v6_conlat_1(X1,sK0)
| u4_conlat_1(sK0,X1) != u4_conlat_1(sK0,X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ l3_conlat_1(X0,sK0)
| ~ l3_conlat_1(X0,sK0)
| v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0) ),
inference(superposition,[],[f18666,f18407]) ).
fof(f18733,plain,
! [X0,X1] :
( u5_conlat_1(sK0,X1) != u5_conlat_1(sK0,X0)
| ~ l3_conlat_1(X1,sK0)
| ~ v6_conlat_1(X1,sK0)
| u4_conlat_1(sK0,X1) != u4_conlat_1(sK0,X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ l3_conlat_1(X0,sK0)
| v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0) ),
inference(duplicate_literal_removal,[],[f18732]) ).
fof(f18734,plain,
! [X0,X1] :
( u5_conlat_1(sK0,X1) != u5_conlat_1(sK0,X0)
| ~ l3_conlat_1(X1,sK0)
| ~ v6_conlat_1(X1,sK0)
| u4_conlat_1(sK0,X1) != u4_conlat_1(sK0,X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ l3_conlat_1(X0,sK0)
| ~ l2_conlat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f18733,f18365]) ).
fof(f18736,plain,
! [X0,X1] :
( u5_conlat_1(sK0,X1) != u5_conlat_1(sK0,X0)
| ~ l3_conlat_1(X1,sK0)
| ~ v6_conlat_1(X1,sK0)
| u4_conlat_1(sK0,X1) != u4_conlat_1(sK0,X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ l3_conlat_1(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f18734,f18363]) ).
fof(f19115,plain,
! [X0] :
( ~ l3_conlat_1(X0,sK0)
| ~ v6_conlat_1(X0,sK0)
| u4_conlat_1(sK0,X0) != u4_conlat_1(sK0,X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X0
| ~ l3_conlat_1(X0,sK0) ),
inference(equality_resolution,[],[f18736]) ).
fof(f19116,plain,
! [X0] :
( ~ l3_conlat_1(X0,sK0)
| ~ v6_conlat_1(X0,sK0)
| u4_conlat_1(sK0,X0) != u4_conlat_1(sK0,X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f19115]) ).
fof(f19117,plain,
! [X0] :
( ~ v6_conlat_1(X0,sK0)
| ~ l3_conlat_1(X0,sK0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X0 ),
inference(trivial_inequality_removal,[],[f19116]) ).
fof(f19157,plain,
( ~ l3_conlat_1(sK1,sK0)
| sK1 = k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) ),
inference(resolution,[],[f19117,f18369]) ).
fof(f19160,plain,
sK1 = k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f19157,f18366]) ).
fof(f19186,definition,
( spl8_50
<=> l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl8_50])],[avatar_definition]) ).
fof(f19187,plain,
( l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ spl8_50 ),
inference(avatar_component_clause,[],[f19186]) ).
fof(f19188,plain,
( ~ l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| spl8_50 ),
inference(avatar_component_clause,[],[f19186]) ).
fof(f19225,plain,
( v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| ~ l3_conlat_1(sK1,sK0)
| spl8_50 ),
inference(resolution,[],[f19188,f18399]) ).
fof(f19226,plain,
( ~ l2_conlat_1(sK0)
| ~ l3_conlat_1(sK1,sK0)
| spl8_50 ),
inference(forward_subsumption_resolution,[],[f19225,f18365]) ).
fof(f19227,plain,
( ~ l3_conlat_1(sK1,sK0)
| spl8_50 ),
inference(forward_subsumption_resolution,[],[f19226,f18363]) ).
fof(f19228,plain,
( $false
| spl8_50 ),
inference(forward_subsumption_resolution,[],[f19227,f18366]) ).
fof(f19229,plain,
spl8_50,
inference(avatar_contradiction_clause,[],[f19228]) ).
fof(f19235,plain,
( v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| k9_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
| ~ spl8_1
| spl8_2
| ~ spl8_50 ),
inference(resolution,[],[f19187,f18471]) ).
fof(f19236,plain,
( ~ v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| k9_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
| ~ spl8_1
| spl8_2
| ~ spl8_50 ),
inference(forward_subsumption_resolution,[],[f19235,f18517]) ).
fof(f19238,plain,
( k9_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
| ~ spl8_1
| spl8_2
| ~ spl8_50 ),
inference(forward_subsumption_resolution,[],[f19236,f18516]) ).
fof(f19240,plain,
( sK1 = k9_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
| ~ spl8_1
| spl8_2
| ~ spl8_50 ),
inference(forward_demodulation,[],[f19238,f19160]) ).
fof(f19241,plain,
( $false
| ~ spl8_1
| spl8_2
| ~ spl8_50 ),
inference(forward_subsumption_resolution,[],[f19240,f18503]) ).
fof(f19242,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_50 ),
inference(avatar_contradiction_clause,[],[f19241]) ).
cnf(s2,plain,
spl8_1,
inference(sat_conversion,[],[f18436]) ).
cnf(s4,plain,
~ spl8_2,
inference(sat_conversion,[],[f18447]) ).
cnf(s57,plain,
spl8_50,
inference(sat_conversion,[],[f19229]) ).
cnf(s59,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_50 ),
inference(sat_conversion,[],[f19242]) ).
cnf(s87,plain,
~ spl8_1,
inference(rat,[],[s59,s57,s4]) ).
cnf(s88,plain,
$false,
inference(rat,[],[s2,s87]) ).
fof(f19243,plain,
$false,
inference(avatar_sat_refutation,[],[s88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT345+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 14:56:50 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.54/3.16 % (2734774)Detected formulas, will run a generic FOF schedule.
% 9.54/3.16 % (2734903)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=118855087:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 9.54/3.16 % (2734903)Instruction limit reached!
% 9.54/3.16 % (2734903)------------------------------
% 9.54/3.16 % (2734903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.16 % (2734903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.16 % (2734903)CaDiCaL version: 2.1.3
% 9.54/3.16 % (2734903)Termination reason: Instruction limit
% 9.54/3.16 % (2734903)Termination phase: Preprocessing 3
% 9.54/3.16 % (2734903)Time elapsed: 0.067 s
% 9.54/3.16 % (2734903)Peak memory usage: 113 MB
% 9.54/3.16 % (2734903)Instructions burned: 119 (million)
% 9.54/3.16 % (2734898)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1319577505:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 9.54/3.16 % (2734897)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=911852803:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 9.54/3.16 % (2734901)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1487444157:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 9.54/3.16 % (2734899)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=862858709:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 9.54/3.16 % (2734908)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3115664703:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 9.54/3.16 % (2734909)dis-21_1_sil=8000:lcm=predicate:random_seed=1329932140:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2989 on theBenchmark for (2989ds/129Mi)
% 9.54/3.16 % (2734908)Instruction limit reached!
% 9.54/3.16 % (2734908)------------------------------
% 9.54/3.16 % (2734908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.16 % (2734908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.16 % (2734908)CaDiCaL version: 2.1.3
% 9.54/3.16 % (2734908)Termination reason: Instruction limit
% 9.54/3.16 % (2734908)Termination phase: Property scanning
% 9.54/3.16 % (2734908)Time elapsed: 0.114 s
% 9.54/3.16 % (2734908)Peak memory usage: 111 MB
% 9.54/3.16 % (2734908)Instructions burned: 139 (million)
% 9.54/3.16 % (2734901)Instruction limit reached!
% 9.54/3.16 % (2734901)------------------------------
% 9.54/3.16 % (2734901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.16 % (2734901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.16 % (2734901)CaDiCaL version: 2.1.3
% 9.54/3.16 % (2734901)Termination reason: Instruction limit
% 9.54/3.16 % (2734901)Termination phase: Blocked clause elimination
% 9.54/3.16 % (2734901)Time elapsed: 0.135 s
% 9.54/3.16 % (2734901)Peak memory usage: 113 MB
% 9.54/3.16 % (2734901)Instructions burned: 109 (million)
% 9.54/3.16 % (2734909)Instruction limit reached!
% 9.54/3.16 % (2734909)------------------------------
% 9.54/3.16 % (2734909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.16 % (2734909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.16 % (2734909)CaDiCaL version: 2.1.3
% 9.54/3.16 % (2734909)Termination reason: Instruction limit
% 9.54/3.16 % (2734909)Termination phase: SInE selection
% 9.54/3.16 % (2734909)Time elapsed: 0.135 s
% 9.54/3.16 % (2734909)Peak memory usage: 111 MB
% 9.54/3.16 % (2734909)Instructions burned: 129 (million)
% 9.54/3.16 % (2734919)lrs+10_1_sil=8000:sp=occurrence:random_seed=2401066823:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 9.54/3.16 % (2734919)Instruction limit reached!
% 9.54/3.16 % (2734919)------------------------------
% 9.54/3.16 % (2734919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.16 % (2734919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.16 % (2734919)CaDiCaL version: 2.1.3
% 9.54/3.16 % (2734919)Termination reason: Instruction limit
% 9.54/3.16 % (2734919)Termination phase: Saturation
% 9.54/3.16 % (2734919)Time elapsed: 0.167 s
% 9.54/3.16 % (2734919)Peak memory usage: 117 MB
% 9.54/3.16 % (2734919)Instructions burned: 285 (million)
% 9.54/3.16 % (2734929)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2423427590:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/157Mi)
% 9.54/3.16 % (2734930)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1554617957:i=325:sd=1:ss=axioms:sgt=32_2985 on theBenchmark for (2985ds/325Mi)
% 9.54/3.16 % (2734931)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=555329923:s2a=on:i=248:s2at=1.23:gtg=position_2985 on theBenchmark for (2985ds/248Mi)
% 9.54/3.16 % (2734929)Instruction limit reached!
% 9.54/3.16 % (2734929)------------------------------
% 9.54/3.16 % (2734929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.16 % (2734929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.16 % (2734929)CaDiCaL version: 2.1.3
% 9.54/3.16 % (2734929)Termination reason: Instruction limit
% 9.54/3.16 % (2734929)Termination phase: Property scanning
% 9.54/3.16 % (2734929)Time elapsed: 0.131 s
% 9.54/3.16 % (2734929)Peak memory usage: 111 MB
% 9.54/3.16 % (2734929)Instructions burned: 157 (million)
% 9.54/3.16 % (2734936)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4061862845:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2983 on theBenchmark for (2983ds/294Mi)
% 9.54/3.16 % (2734930)First to succeed.
% 9.54/3.16 % (2734930)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2734774"
% 9.54/3.16 % (2734931)Instruction limit reached!
% 9.54/3.16 % (2734931)------------------------------
% 9.54/3.16 % (2734931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.16 % (2734931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.16 % (2734931)CaDiCaL version: 2.1.3
% 9.54/3.16 % (2734931)Termination reason: Instruction limit
% 9.54/3.16 % (2734931)Termination phase: Property scanning
% 9.54/3.16 % (2734931)Time elapsed: 0.196 s
% 9.54/3.16 % (2734931)Peak memory usage: 111 MB
% 9.54/3.16 % (2734931)Instructions burned: 249 (million)
% 9.54/3.16 % (2734936)Refutation not found, incomplete strategy
% 9.54/3.16 % (2734936)------------------------------
% 9.54/3.16 % (2734936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.16 % (2734936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.16 % (2734936)CaDiCaL version: 2.1.3
% 9.54/3.16 % (2734936)Termination reason: Refutation not found, incomplete strategy
% 9.54/3.16 % (2734936)Time elapsed: 0.145 s
% 9.54/3.16 % (2734936)Peak memory usage: 117 MB
% 9.54/3.16 % (2734936)Instructions burned: 232 (million)
% 9.54/3.16 % (2734940)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2330760518:i=2350_2981 on theBenchmark for (2981ds/2350Mi)
% 9.54/3.16 % (2734946)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2082608351:cts=off:i=113:fsr=off:ss=included:sgt=4_2980 on theBenchmark for (2980ds/113Mi)
% 9.54/3.16 % (2734936)------------------------------
% 9.54/3.16 % (2734936)------------------------------
% 9.54/3.16 % (2734930)Refutation found. Thanks to Tanya!
% 9.54/3.16 % SZS status Theorem for theBenchmark
% 9.54/3.16 % SZS output start Proof for theBenchmark
% See solution above
% 10.80/3.49 % (2734930)------------------------------
% 10.80/3.49 % (2734930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/3.49 % (2734930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/3.49 % (2734930)CaDiCaL version: 2.1.3
% 10.80/3.49 % (2734930)Termination reason: Refutation
% 10.80/3.49 % (2734930)Time elapsed: 0.187 s
% 10.80/3.49 % (2734930)Peak memory usage: 117 MB
% 10.80/3.49 % (2734930)Instructions burned: 149 (million)
% 10.80/3.49 % (2734930)------------------------------
% 10.80/3.49 % (2734930)------------------------------
% 10.80/3.49 % (2734774)Success in time 2.305 s
% 10.80/3.49 % Vampire exiting
%------------------------------------------------------------------------------