%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV117+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 01:20:16 PM UTC 2026
% Result : Theorem 0.17s 0.29s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 33
% Syntax : Number of formulae : 182 ( 27 unt; 28 def)
% Number of atoms : 802 ( 99 equ)
% Maximal formula atoms : 44 ( 4 avg)
% Number of connectives : 969 ( 349 ~; 387 |; 186 &)
% ( 25 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 29 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-3 aty)
% Number of variables : 139 ( 0 sgn 101 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [X0] : plus(X0,n1) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(f30,axiom,
! [X0] : plus(n1,X0) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_pred) ).
fof(f53,conjecture,
( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,minus(n3,n1))
& leq(X3,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,minus(n6,n1))
& leq(X5,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,minus(plus(n1,minus(n6,n1)),n1)) )
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,minus(n6,n1))
& leq(X9,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X10,X11) = a_select3(r_ds1_filter,X11,X10) )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X12,X13) = a_select3(pminus_ds1_filter,X13,X12) )
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,minus(n6,n1)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X14,X15) = a_select3(id_ds1_filter,X15,X14) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0010) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,minus(n3,n1))
& leq(X3,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,minus(n6,n1))
& leq(X5,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,minus(plus(n1,minus(n6,n1)),n1)) )
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,minus(n6,n1))
& leq(X9,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X10,X11) = a_select3(r_ds1_filter,X11,X10) )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X12,X13) = a_select3(pminus_ds1_filter,X13,X12) )
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,minus(n6,n1)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X14,X15) = a_select3(id_ds1_filter,X15,X14) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f153,plain,
( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) != a_select3(q_ds1_filter,X9,X8)
& leq(n0,X8)
& leq(n0,X9)
& leq(X8,minus(n6,n1))
& leq(X9,minus(n6,n1)) )
| ? [X10,X11] :
( a_select3(r_ds1_filter,X10,X11) != a_select3(r_ds1_filter,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
| ? [X12,X13] :
( a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1)) )
| ? [X14] :
( ? [X15] :
( a_select3(id_ds1_filter,X14,X15) != a_select3(id_ds1_filter,X15,X14)
& leq(n0,X15)
& leq(X15,minus(n6,n1)) )
& leq(n0,X14)
& leq(X14,minus(n6,n1)) ) )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1)) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n3,n1))
| ~ leq(X3,minus(n3,n1)) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n6,n1))
| ~ leq(X5,minus(n6,n1)) )
& ! [X6] :
( ! [X7] :
( a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1)) )
| ~ leq(n0,X6)
| ~ leq(X6,minus(plus(n1,minus(n6,n1)),n1)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f154,plain,
( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) != a_select3(q_ds1_filter,X9,X8)
& leq(n0,X8)
& leq(n0,X9)
& leq(X8,minus(n6,n1))
& leq(X9,minus(n6,n1)) )
| ? [X10,X11] :
( a_select3(r_ds1_filter,X10,X11) != a_select3(r_ds1_filter,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
| ? [X12,X13] :
( a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1)) )
| ? [X14] :
( ? [X15] :
( a_select3(id_ds1_filter,X14,X15) != a_select3(id_ds1_filter,X15,X14)
& leq(n0,X15)
& leq(X15,minus(n6,n1)) )
& leq(n0,X14)
& leq(X14,minus(n6,n1)) ) )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1)) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n3,n1))
| ~ leq(X3,minus(n3,n1)) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n6,n1))
| ~ leq(X5,minus(n6,n1)) )
& ! [X6] :
( ! [X7] :
( a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1)) )
| ~ leq(n0,X6)
| ~ leq(X6,minus(plus(n1,minus(n6,n1)),n1)) ) ),
inference(flattening,[],[f153]) ).
fof(f176,definition,
( ? [X14] :
( ? [X15] :
( a_select3(id_ds1_filter,X14,X15) != a_select3(id_ds1_filter,X15,X14)
& leq(n0,X15)
& leq(X15,minus(n6,n1)) )
& leq(n0,X14)
& leq(X14,minus(n6,n1)) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f177,definition,
( ? [X12,X13] :
( a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1)) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f178,definition,
( ? [X10,X11] :
( a_select3(r_ds1_filter,X10,X11) != a_select3(r_ds1_filter,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f179,plain,
( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) != a_select3(q_ds1_filter,X9,X8)
& leq(n0,X8)
& leq(n0,X9)
& leq(X8,minus(n6,n1))
& leq(X9,minus(n6,n1)) )
| sP6
| sP5
| sP4 )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1)) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n3,n1))
| ~ leq(X3,minus(n3,n1)) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n6,n1))
| ~ leq(X5,minus(n6,n1)) )
& ! [X6] :
( ! [X7] :
( a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1)) )
| ~ leq(n0,X6)
| ~ leq(X6,minus(plus(n1,minus(n6,n1)),n1)) ) ),
inference(definition_folding,[],[f154,f178,f177,f176]) ).
fof(f213,plain,
( ? [X10,X11] :
( a_select3(r_ds1_filter,X10,X11) != a_select3(r_ds1_filter,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
| ~ sP6 ),
inference(nnf_transformation,[],[f178]) ).
fof(f214,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n3,n1))
& leq(X1,minus(n3,n1)) )
| ~ sP6 ),
inference(rectify,[],[f213]) ).
fof(f215,plain,
( ( a_select3(r_ds1_filter,sK34,sK35) != a_select3(r_ds1_filter,sK35,sK34)
& leq(n0,sK34)
& leq(n0,sK35)
& leq(sK34,minus(n3,n1))
& leq(sK35,minus(n3,n1)) )
| ~ sP6 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X0,sK34),skolemize(X1,sK35)],[f214]) ).
fof(f216,plain,
( ? [X12,X13] :
( a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f177]) ).
fof(f217,plain,
( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
| ~ sP5 ),
inference(rectify,[],[f216]) ).
fof(f218,plain,
( ( a_select3(pminus_ds1_filter,sK36,sK37) != a_select3(pminus_ds1_filter,sK37,sK36)
& leq(n0,sK36)
& leq(n0,sK37)
& leq(sK36,minus(n6,n1))
& leq(sK37,minus(n6,n1)) )
| ~ sP5 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37]),skolemize(X0,sK36),skolemize(X1,sK37)],[f217]) ).
fof(f219,plain,
( ? [X14] :
( ? [X15] :
( a_select3(id_ds1_filter,X14,X15) != a_select3(id_ds1_filter,X15,X14)
& leq(n0,X15)
& leq(X15,minus(n6,n1)) )
& leq(n0,X14)
& leq(X14,minus(n6,n1)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f176]) ).
fof(f220,plain,
( ? [X0] :
( ? [X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(n0,X1)
& leq(X1,minus(n6,n1)) )
& leq(n0,X0)
& leq(X0,minus(n6,n1)) )
| ~ sP4 ),
inference(rectify,[],[f219]) ).
fof(f221,plain,
( ( a_select3(id_ds1_filter,sK38,sK39) != a_select3(id_ds1_filter,sK39,sK38)
& leq(n0,sK39)
& leq(sK39,minus(n6,n1))
& leq(n0,sK38)
& leq(sK38,minus(n6,n1)) )
| ~ sP4 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39]),skolemize(X0,sK38),skolemize(X1,sK39)],[f220]) ).
fof(f222,plain,
( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
| sP6
| sP5
| sP4 )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X2,X3] :
( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X3,minus(n6,n1)) )
& ! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n3,n1))
| ~ leq(X5,minus(n3,n1)) )
& ! [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,minus(n6,n1))
| ~ leq(X7,minus(n6,n1)) )
& ! [X8] :
( ! [X9] :
( a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8)
| ~ leq(n0,X9)
| ~ leq(X9,minus(n6,n1)) )
| ~ leq(n0,X8)
| ~ leq(X8,minus(plus(n1,minus(n6,n1)),n1)) ) ),
inference(rectify,[],[f179]) ).
fof(f223,plain,
( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select3(q_ds1_filter,sK40,sK41) != a_select3(q_ds1_filter,sK41,sK40)
& leq(n0,sK40)
& leq(n0,sK41)
& leq(sK40,minus(n6,n1))
& leq(sK41,minus(n6,n1)) )
| sP6
| sP5
| sP4 )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X2,X3] :
( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X3,minus(n6,n1)) )
& ! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n3,n1))
| ~ leq(X5,minus(n3,n1)) )
& ! [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,minus(n6,n1))
| ~ leq(X7,minus(n6,n1)) )
& ! [X8] :
( ! [X9] :
( a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8)
| ~ leq(n0,X9)
| ~ leq(X9,minus(n6,n1)) )
| ~ leq(n0,X8)
| ~ leq(X8,minus(plus(n1,minus(n6,n1)),n1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41]),skolemize(X0,sK40),skolemize(X1,sK41)],[f222]) ).
fof(f304,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f305,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f314,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f316,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f334,plain,
( leq(sK35,minus(n3,n1))
| ~ sP6 ),
inference(cnf_transformation,[],[f215]) ).
fof(f335,plain,
( leq(sK34,minus(n3,n1))
| ~ sP6 ),
inference(cnf_transformation,[],[f215]) ).
fof(f336,plain,
( leq(n0,sK35)
| ~ sP6 ),
inference(cnf_transformation,[],[f215]) ).
fof(f337,plain,
( leq(n0,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f215]) ).
fof(f338,plain,
( a_select3(r_ds1_filter,sK34,sK35) != a_select3(r_ds1_filter,sK35,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f215]) ).
fof(f339,plain,
( leq(sK37,minus(n6,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f218]) ).
fof(f340,plain,
( leq(sK36,minus(n6,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f218]) ).
fof(f341,plain,
( leq(n0,sK37)
| ~ sP5 ),
inference(cnf_transformation,[],[f218]) ).
fof(f342,plain,
( leq(n0,sK36)
| ~ sP5 ),
inference(cnf_transformation,[],[f218]) ).
fof(f343,plain,
( a_select3(pminus_ds1_filter,sK36,sK37) != a_select3(pminus_ds1_filter,sK37,sK36)
| ~ sP5 ),
inference(cnf_transformation,[],[f218]) ).
fof(f344,plain,
( leq(sK38,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f221]) ).
fof(f345,plain,
( leq(n0,sK38)
| ~ sP4 ),
inference(cnf_transformation,[],[f221]) ).
fof(f346,plain,
( leq(sK39,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f221]) ).
fof(f347,plain,
( leq(n0,sK39)
| ~ sP4 ),
inference(cnf_transformation,[],[f221]) ).
fof(f348,plain,
( a_select3(id_ds1_filter,sK38,sK39) != a_select3(id_ds1_filter,sK39,sK38)
| ~ sP4 ),
inference(cnf_transformation,[],[f221]) ).
fof(f349,plain,
! [X8,X9] :
( ~ leq(X8,minus(plus(n1,minus(n6,n1)),n1))
| ~ leq(n0,X9)
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X8)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ),
inference(cnf_transformation,[],[f223]) ).
fof(f350,plain,
! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,minus(n6,n1))
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) ),
inference(cnf_transformation,[],[f223]) ).
fof(f351,plain,
! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n3,n1))
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) ),
inference(cnf_transformation,[],[f223]) ).
fof(f352,plain,
! [X2,X3] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1))
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f353,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f223]) ).
fof(f354,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f223]) ).
fof(f355,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK41,minus(n6,n1))
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f223]) ).
fof(f356,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK40,minus(n6,n1))
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f223]) ).
fof(f357,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK41)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f223]) ).
fof(f358,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK40)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f223]) ).
fof(f359,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| a_select3(q_ds1_filter,sK40,sK41) != a_select3(q_ds1_filter,sK41,sK40)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f223]) ).
fof(f416,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f305,f304]) ).
fof(f426,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f316,f304,f314]) ).
fof(f440,definition,
( spl42_1
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl42_1])],[avatar_definition]) ).
fof(f444,definition,
( spl42_2
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl42_2])],[avatar_definition]) ).
fof(f448,definition,
( spl42_3
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl42_3])],[avatar_definition]) ).
fof(f452,definition,
( spl42_4
<=> leq(sK41,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl42_4])],[avatar_definition]) ).
fof(f454,plain,
( leq(sK41,minus(n6,n1))
| ~ spl42_4 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f456,definition,
( spl42_5
<=> leq(pv5,minus(n999,n1)) ),
introduced(definition,[new_symbols(definition,[spl42_5])],[avatar_definition]) ).
fof(f460,definition,
( spl42_6
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[spl42_6])],[avatar_definition]) ).
fof(f463,plain,
( spl42_1
| spl42_2
| spl42_3
| spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(avatar_split_clause,[],[f355,f460,f456,f452,f448,f444,f440]) ).
fof(f465,definition,
( spl42_7
<=> leq(sK40,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl42_7])],[avatar_definition]) ).
fof(f467,plain,
( leq(sK40,minus(n6,n1))
| ~ spl42_7 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f468,plain,
( spl42_1
| spl42_2
| spl42_3
| spl42_7
| ~ spl42_5
| ~ spl42_6 ),
inference(avatar_split_clause,[],[f356,f460,f456,f465,f448,f444,f440]) ).
fof(f470,definition,
( spl42_8
<=> leq(n0,sK41) ),
introduced(definition,[new_symbols(definition,[spl42_8])],[avatar_definition]) ).
fof(f472,plain,
( leq(n0,sK41)
| ~ spl42_8 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f473,plain,
( spl42_1
| spl42_2
| spl42_3
| spl42_8
| ~ spl42_5
| ~ spl42_6 ),
inference(avatar_split_clause,[],[f357,f460,f456,f470,f448,f444,f440]) ).
fof(f475,definition,
( spl42_9
<=> leq(n0,sK40) ),
introduced(definition,[new_symbols(definition,[spl42_9])],[avatar_definition]) ).
fof(f477,plain,
( leq(n0,sK40)
| ~ spl42_9 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f478,plain,
( spl42_1
| spl42_2
| spl42_3
| spl42_9
| ~ spl42_5
| ~ spl42_6 ),
inference(avatar_split_clause,[],[f358,f460,f456,f475,f448,f444,f440]) ).
fof(f480,definition,
( spl42_10
<=> a_select3(q_ds1_filter,sK40,sK41) = a_select3(q_ds1_filter,sK41,sK40) ),
introduced(definition,[new_symbols(definition,[spl42_10])],[avatar_definition]) ).
fof(f482,plain,
( a_select3(q_ds1_filter,sK40,sK41) != a_select3(q_ds1_filter,sK41,sK40)
| spl42_10 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,plain,
( spl42_1
| spl42_2
| spl42_3
| ~ spl42_10
| ~ spl42_5
| ~ spl42_6 ),
inference(avatar_split_clause,[],[f359,f460,f456,f480,f448,f444,f440]) ).
fof(f485,definition,
( spl42_11
<=> leq(sK38,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl42_11])],[avatar_definition]) ).
fof(f487,plain,
( leq(sK38,minus(n6,n1))
| ~ spl42_11 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f488,plain,
( ~ spl42_1
| spl42_11 ),
inference(avatar_split_clause,[],[f344,f485,f440]) ).
fof(f490,definition,
( spl42_12
<=> leq(n0,sK38) ),
introduced(definition,[new_symbols(definition,[spl42_12])],[avatar_definition]) ).
fof(f492,plain,
( leq(n0,sK38)
| ~ spl42_12 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f493,plain,
( ~ spl42_1
| spl42_12 ),
inference(avatar_split_clause,[],[f345,f490,f440]) ).
fof(f495,definition,
( spl42_13
<=> leq(sK39,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl42_13])],[avatar_definition]) ).
fof(f497,plain,
( leq(sK39,minus(n6,n1))
| ~ spl42_13 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f498,plain,
( ~ spl42_1
| spl42_13 ),
inference(avatar_split_clause,[],[f346,f495,f440]) ).
fof(f500,definition,
( spl42_14
<=> leq(n0,sK39) ),
introduced(definition,[new_symbols(definition,[spl42_14])],[avatar_definition]) ).
fof(f502,plain,
( leq(n0,sK39)
| ~ spl42_14 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f503,plain,
( ~ spl42_1
| spl42_14 ),
inference(avatar_split_clause,[],[f347,f500,f440]) ).
fof(f505,definition,
( spl42_15
<=> a_select3(id_ds1_filter,sK38,sK39) = a_select3(id_ds1_filter,sK39,sK38) ),
introduced(definition,[new_symbols(definition,[spl42_15])],[avatar_definition]) ).
fof(f508,plain,
( ~ spl42_1
| ~ spl42_15 ),
inference(avatar_split_clause,[],[f348,f505,f440]) ).
fof(f510,definition,
( spl42_16
<=> leq(sK37,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl42_16])],[avatar_definition]) ).
fof(f512,plain,
( leq(sK37,minus(n6,n1))
| ~ spl42_16 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f513,plain,
( ~ spl42_2
| spl42_16 ),
inference(avatar_split_clause,[],[f339,f510,f444]) ).
fof(f515,definition,
( spl42_17
<=> leq(sK36,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl42_17])],[avatar_definition]) ).
fof(f517,plain,
( leq(sK36,minus(n6,n1))
| ~ spl42_17 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f518,plain,
( ~ spl42_2
| spl42_17 ),
inference(avatar_split_clause,[],[f340,f515,f444]) ).
fof(f520,definition,
( spl42_18
<=> leq(n0,sK37) ),
introduced(definition,[new_symbols(definition,[spl42_18])],[avatar_definition]) ).
fof(f522,plain,
( leq(n0,sK37)
| ~ spl42_18 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f523,plain,
( ~ spl42_2
| spl42_18 ),
inference(avatar_split_clause,[],[f341,f520,f444]) ).
fof(f525,definition,
( spl42_19
<=> leq(n0,sK36) ),
introduced(definition,[new_symbols(definition,[spl42_19])],[avatar_definition]) ).
fof(f528,plain,
( ~ spl42_2
| spl42_19 ),
inference(avatar_split_clause,[],[f342,f525,f444]) ).
fof(f530,definition,
( spl42_20
<=> a_select3(pminus_ds1_filter,sK36,sK37) = a_select3(pminus_ds1_filter,sK37,sK36) ),
introduced(definition,[new_symbols(definition,[spl42_20])],[avatar_definition]) ).
fof(f533,plain,
( ~ spl42_2
| ~ spl42_20 ),
inference(avatar_split_clause,[],[f343,f530,f444]) ).
fof(f535,definition,
( spl42_21
<=> leq(sK35,minus(n3,n1)) ),
introduced(definition,[new_symbols(definition,[spl42_21])],[avatar_definition]) ).
fof(f537,plain,
( leq(sK35,minus(n3,n1))
| ~ spl42_21 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f538,plain,
( ~ spl42_3
| spl42_21 ),
inference(avatar_split_clause,[],[f334,f535,f448]) ).
fof(f540,definition,
( spl42_22
<=> leq(sK34,minus(n3,n1)) ),
introduced(definition,[new_symbols(definition,[spl42_22])],[avatar_definition]) ).
fof(f542,plain,
( leq(sK34,minus(n3,n1))
| ~ spl42_22 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f543,plain,
( ~ spl42_3
| spl42_22 ),
inference(avatar_split_clause,[],[f335,f540,f448]) ).
fof(f545,definition,
( spl42_23
<=> leq(n0,sK35) ),
introduced(definition,[new_symbols(definition,[spl42_23])],[avatar_definition]) ).
fof(f547,plain,
( leq(n0,sK35)
| ~ spl42_23 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f548,plain,
( ~ spl42_3
| spl42_23 ),
inference(avatar_split_clause,[],[f336,f545,f448]) ).
fof(f550,definition,
( spl42_24
<=> leq(n0,sK34) ),
introduced(definition,[new_symbols(definition,[spl42_24])],[avatar_definition]) ).
fof(f552,plain,
( leq(n0,sK34)
| ~ spl42_24 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f553,plain,
( ~ spl42_3
| spl42_24 ),
inference(avatar_split_clause,[],[f337,f550,f448]) ).
fof(f555,definition,
( spl42_25
<=> a_select3(r_ds1_filter,sK34,sK35) = a_select3(r_ds1_filter,sK35,sK34) ),
introduced(definition,[new_symbols(definition,[spl42_25])],[avatar_definition]) ).
fof(f558,plain,
( ~ spl42_3
| ~ spl42_25 ),
inference(avatar_split_clause,[],[f338,f555,f448]) ).
fof(f559,plain,
spl42_6,
inference(avatar_split_clause,[],[f354,f460]) ).
fof(f560,plain,
spl42_5,
inference(avatar_split_clause,[],[f353,f456]) ).
fof(f596,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK37)
| ~ leq(X0,minus(n6,n1))
| a_select3(pminus_ds1_filter,X0,sK37) = a_select3(pminus_ds1_filter,sK37,X0) )
| ~ spl42_16 ),
inference(resolution,[],[f512,f350]) ).
fof(f597,plain,
( ! [X0] :
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(pminus_ds1_filter,X0,sK37) = a_select3(pminus_ds1_filter,sK37,X0) )
| ~ spl42_16
| ~ spl42_18 ),
inference(forward_subsumption_resolution,[],[f596,f522]) ).
fof(f601,plain,
( ~ leq(n0,sK36)
| a_select3(pminus_ds1_filter,sK36,sK37) = a_select3(pminus_ds1_filter,sK37,sK36)
| ~ spl42_16
| ~ spl42_17
| ~ spl42_18 ),
inference(resolution,[],[f517,f597]) ).
fof(f616,plain,
( spl42_20
| ~ spl42_19
| ~ spl42_16
| ~ spl42_17
| ~ spl42_18 ),
inference(avatar_split_clause,[],[f601,f520,f515,f510,f525,f530]) ).
fof(f618,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK41)
| ~ leq(X0,minus(n6,n1))
| a_select3(q_ds1_filter,X0,sK41) = a_select3(q_ds1_filter,sK41,X0) )
| ~ spl42_4 ),
inference(resolution,[],[f454,f352]) ).
fof(f621,plain,
( ! [X0] :
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,sK41) = a_select3(q_ds1_filter,sK41,X0) )
| ~ spl42_4
| ~ spl42_8 ),
inference(forward_subsumption_resolution,[],[f618,f472]) ).
fof(f687,plain,
( ~ leq(n0,sK40)
| a_select3(q_ds1_filter,sK40,sK41) = a_select3(q_ds1_filter,sK41,sK40)
| ~ spl42_4
| ~ spl42_7
| ~ spl42_8 ),
inference(resolution,[],[f621,f467]) ).
fof(f689,plain,
( a_select3(q_ds1_filter,sK40,sK41) = a_select3(q_ds1_filter,sK41,sK40)
| ~ spl42_4
| ~ spl42_7
| ~ spl42_8
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f687,f477]) ).
fof(f690,plain,
( $false
| ~ spl42_4
| ~ spl42_7
| ~ spl42_8
| ~ spl42_9
| spl42_10 ),
inference(forward_subsumption_resolution,[],[f689,f482]) ).
fof(f691,plain,
( ~ spl42_4
| ~ spl42_7
| ~ spl42_8
| ~ spl42_9
| spl42_10 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f692,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK35)
| ~ leq(X0,minus(n3,n1))
| a_select3(r_ds1_filter,X0,sK35) = a_select3(r_ds1_filter,sK35,X0) )
| ~ spl42_21 ),
inference(resolution,[],[f537,f351]) ).
fof(f693,plain,
( ! [X0] :
( ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0)
| a_select3(r_ds1_filter,X0,sK35) = a_select3(r_ds1_filter,sK35,X0) )
| ~ spl42_21
| ~ spl42_23 ),
inference(forward_subsumption_resolution,[],[f692,f547]) ).
fof(f696,plain,
( ~ leq(n0,sK34)
| a_select3(r_ds1_filter,sK34,sK35) = a_select3(r_ds1_filter,sK35,sK34)
| ~ spl42_21
| ~ spl42_22
| ~ spl42_23 ),
inference(resolution,[],[f542,f693]) ).
fof(f699,plain,
( a_select3(r_ds1_filter,sK34,sK35) = a_select3(r_ds1_filter,sK35,sK34)
| ~ spl42_21
| ~ spl42_22
| ~ spl42_23
| ~ spl42_24 ),
inference(forward_subsumption_resolution,[],[f696,f552]) ).
fof(f700,plain,
( spl42_25
| ~ spl42_21
| ~ spl42_22
| ~ spl42_23
| ~ spl42_24 ),
inference(avatar_split_clause,[],[f699,f550,f545,f540,f535,f555]) ).
fof(f729,plain,
! [X0] : plus(n1,minus(X0,n1)) = X0,
inference(forward_demodulation,[],[f426,f416]) ).
fof(f736,plain,
! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) ),
inference(superposition,[],[f349,f729]) ).
fof(f914,plain,
( ! [X0] :
( ~ leq(n0,sK39)
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(id_ds1_filter,X0,sK39) = a_select3(id_ds1_filter,sK39,X0) )
| ~ spl42_13 ),
inference(resolution,[],[f736,f497]) ).
fof(f917,plain,
( ! [X0] :
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(id_ds1_filter,X0,sK39) = a_select3(id_ds1_filter,sK39,X0) )
| ~ spl42_13
| ~ spl42_14 ),
inference(forward_subsumption_resolution,[],[f914,f502]) ).
fof(f990,plain,
( ~ leq(n0,sK38)
| a_select3(id_ds1_filter,sK38,sK39) = a_select3(id_ds1_filter,sK39,sK38)
| ~ spl42_11
| ~ spl42_13
| ~ spl42_14 ),
inference(resolution,[],[f917,f487]) ).
fof(f993,plain,
( a_select3(id_ds1_filter,sK38,sK39) = a_select3(id_ds1_filter,sK39,sK38)
| ~ spl42_11
| ~ spl42_12
| ~ spl42_13
| ~ spl42_14 ),
inference(forward_subsumption_resolution,[],[f990,f492]) ).
fof(f1003,plain,
( spl42_15
| ~ spl42_11
| ~ spl42_12
| ~ spl42_13
| ~ spl42_14 ),
inference(avatar_split_clause,[],[f993,f500,f495,f490,f485,f505]) ).
cnf(s1,plain,
( spl42_1
| spl42_2
| spl42_3
| spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(sat_conversion,[],[f463]) ).
cnf(s2,plain,
( spl42_1
| spl42_2
| spl42_3
| ~ spl42_5
| ~ spl42_6
| spl42_7 ),
inference(sat_conversion,[],[f468]) ).
cnf(s3,plain,
( spl42_1
| spl42_2
| spl42_3
| ~ spl42_5
| ~ spl42_6
| spl42_8 ),
inference(sat_conversion,[],[f473]) ).
cnf(s4,plain,
( spl42_1
| spl42_2
| spl42_3
| ~ spl42_5
| ~ spl42_6
| spl42_9 ),
inference(sat_conversion,[],[f478]) ).
cnf(s5,plain,
( spl42_1
| spl42_2
| spl42_3
| ~ spl42_5
| ~ spl42_6
| ~ spl42_10 ),
inference(sat_conversion,[],[f483]) ).
cnf(s6,plain,
( ~ spl42_1
| spl42_11 ),
inference(sat_conversion,[],[f488]) ).
cnf(s7,plain,
( ~ spl42_1
| spl42_12 ),
inference(sat_conversion,[],[f493]) ).
cnf(s8,plain,
( ~ spl42_1
| spl42_13 ),
inference(sat_conversion,[],[f498]) ).
cnf(s9,plain,
( ~ spl42_1
| spl42_14 ),
inference(sat_conversion,[],[f503]) ).
cnf(s10,plain,
( ~ spl42_1
| ~ spl42_15 ),
inference(sat_conversion,[],[f508]) ).
cnf(s11,plain,
( ~ spl42_2
| spl42_16 ),
inference(sat_conversion,[],[f513]) ).
cnf(s12,plain,
( ~ spl42_2
| spl42_17 ),
inference(sat_conversion,[],[f518]) ).
cnf(s13,plain,
( ~ spl42_2
| spl42_18 ),
inference(sat_conversion,[],[f523]) ).
cnf(s14,plain,
( ~ spl42_2
| spl42_19 ),
inference(sat_conversion,[],[f528]) ).
cnf(s15,plain,
( ~ spl42_2
| ~ spl42_20 ),
inference(sat_conversion,[],[f533]) ).
cnf(s16,plain,
( ~ spl42_3
| spl42_21 ),
inference(sat_conversion,[],[f538]) ).
cnf(s17,plain,
( ~ spl42_3
| spl42_22 ),
inference(sat_conversion,[],[f543]) ).
cnf(s18,plain,
( ~ spl42_3
| spl42_23 ),
inference(sat_conversion,[],[f548]) ).
cnf(s19,plain,
( ~ spl42_3
| spl42_24 ),
inference(sat_conversion,[],[f553]) ).
cnf(s20,plain,
( ~ spl42_3
| ~ spl42_25 ),
inference(sat_conversion,[],[f558]) ).
cnf(s21,plain,
spl42_6,
inference(sat_conversion,[],[f559]) ).
cnf(s22,plain,
spl42_5,
inference(sat_conversion,[],[f560]) ).
cnf(s30,plain,
( ~ spl42_16
| ~ spl42_17
| ~ spl42_18
| ~ spl42_19
| spl42_20 ),
inference(sat_conversion,[],[f616]) ).
cnf(s31,plain,
( ~ spl42_4
| ~ spl42_7
| ~ spl42_8
| ~ spl42_9
| spl42_10 ),
inference(sat_conversion,[],[f691]) ).
cnf(s32,plain,
( ~ spl42_21
| ~ spl42_22
| ~ spl42_23
| ~ spl42_24
| spl42_25 ),
inference(sat_conversion,[],[f700]) ).
cnf(s35,plain,
( ~ spl42_11
| ~ spl42_12
| ~ spl42_13
| ~ spl42_14
| spl42_15 ),
inference(sat_conversion,[],[f1003]) ).
cnf(s36,plain,
( spl42_1
| spl42_2
| spl42_3
| ~ spl42_10 ),
inference(rat,[],[s5,s21,s22]) ).
cnf(s37,plain,
( spl42_1
| spl42_2
| spl42_3
| spl42_9 ),
inference(rat,[],[s4,s21,s22]) ).
cnf(s38,plain,
( spl42_1
| spl42_2
| spl42_3
| spl42_8 ),
inference(rat,[],[s3,s21,s22]) ).
cnf(s39,plain,
( spl42_1
| spl42_2
| spl42_3
| spl42_7 ),
inference(rat,[],[s2,s21,s22]) ).
cnf(s40,plain,
( spl42_1
| spl42_2
| spl42_3
| spl42_4 ),
inference(rat,[],[s1,s21,s22]) ).
cnf(s41,plain,
( spl42_3
| spl42_2
| spl42_1 ),
inference(rat,[],[s31,s40,s39,s38,s37,s36]) ).
cnf(s42,plain,
~ spl42_3,
inference(rat,[],[s32,s16,s17,s18,s19,s20]) ).
cnf(s43,plain,
~ spl42_2,
inference(rat,[],[s30,s11,s12,s13,s14,s15]) ).
cnf(s44,plain,
spl42_1,
inference(rat,[],[s41,s42,s43]) ).
cnf(s45,plain,
~ spl42_15,
inference(rat,[],[s10,s44]) ).
cnf(s46,plain,
spl42_14,
inference(rat,[],[s9,s44]) ).
cnf(s47,plain,
spl42_13,
inference(rat,[],[s8,s44]) ).
cnf(s48,plain,
spl42_12,
inference(rat,[],[s7,s44]) ).
cnf(s49,plain,
spl42_11,
inference(rat,[],[s6,s44]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s35,s45,s46,s47,s48,s49]) ).
fof(f1004,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV117+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n013.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 09:55:56 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.29 % (1067031)Will run a generic schedule for satisfiability detection.
% 0.17/0.29 % (1067037)% WARNING: option uhcvi not known.
% 0.17/0.29 % (1067037)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4015975426:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.29 % (1067036)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=391983843_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.29 % (1067038)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=880352860:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.29 % (1067039)dis+10_1_sil=32000:sp=arity:random_seed=1842234115:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.29 % (1067040)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2086061365:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.29 % (1067039) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1067031-1067039"...
% 0.17/0.29 % (1067041)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3857066668:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.29 % (1067042)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3472503382:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.29 % (1067039)...printing done.
% 0.17/0.29 % (1067039)Refutation found. Thanks to Tanya!
% 0.17/0.29 % SZS status Theorem for theBenchmark
% 0.17/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.29 % (1067039)------------------------------
% 0.17/0.29 % (1067039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.29 % (1067039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.29 % (1067039)CaDiCaL version: 2.1.3
% 0.17/0.29 % (1067039)Termination reason: Refutation
% 0.17/0.29 % (1067039)Time elapsed: 0.023 s
% 0.17/0.29 % (1067039)Peak memory usage: 13 MB
% 0.17/0.29 % (1067039)Instructions burned: 38 (million)
% 0.17/0.29 % (1067031)Success in time 0.06 s
% 0.17/0.29 % Vampire exiting
%------------------------------------------------------------------------------