%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV112+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 01:20:15 PM UTC 2026
% Result : Theorem 0.21s 0.33s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 157 ( 19 unt; 13 def)
% Number of atoms : 781 ( 110 equ)
% Maximal formula atoms : 51 ( 4 avg)
% Number of connectives : 927 ( 303 ~; 377 |; 213 &)
% ( 10 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 14 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 19 con; 0-3 aty)
% Number of variables : 151 ( 0 sgn 113 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [X0] : plus(X0,n1) = succ(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(f30,axiom,
! [X0] : plus(n1,X0) = succ(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(f53,conjecture,
( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,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,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,pv57)
& leq(X7,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,minus(pv57,n1)) )
=> ! [X9] :
( ( leq(n0,X9)
& leq(X9,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10) )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n3,n1))
& leq(X13,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X12,X13) = a_select3(r_ds1_filter,X13,X12) )
& ! [X14,X15] :
( ( leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X14,X15) = a_select3(pminus_ds1_filter,X15,X14) )
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,minus(plus(n1,pv57),n1)) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0005) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,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,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,pv57)
& leq(X7,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,minus(pv57,n1)) )
=> ! [X9] :
( ( leq(n0,X9)
& leq(X9,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10) )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n3,n1))
& leq(X13,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X12,X13) = a_select3(r_ds1_filter,X13,X12) )
& ! [X14,X15] :
( ( leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X14,X15) = a_select3(pminus_ds1_filter,X15,X14) )
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,minus(plus(n1,pv57),n1)) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f153,plain,
( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
| ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n3,n1))
& leq(X13,minus(n3,n1)) )
| ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
| ? [X16] :
( ? [X17] :
( a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16)
& leq(n0,X17)
& leq(X17,minus(n6,n1)) )
& leq(n0,X16)
& leq(X16,minus(plus(n1,pv57),n1)) ) )
& leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,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,X6)
| ~ leq(n0,X7)
| ~ leq(X6,pv57)
| ~ 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(pv57,n1)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f154,plain,
( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
| ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n3,n1))
& leq(X13,minus(n3,n1)) )
| ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
| ? [X16] :
( ? [X17] :
( a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16)
& leq(n0,X17)
& leq(X17,minus(n6,n1)) )
& leq(n0,X16)
& leq(X16,minus(plus(n1,pv57),n1)) ) )
& leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,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,X6)
| ~ leq(n0,X7)
| ~ leq(X6,pv57)
| ~ 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(pv57,n1)) ) ),
inference(flattening,[],[f153]) ).
fof(f176,definition,
( ? [X16] :
( ? [X17] :
( a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16)
& leq(n0,X17)
& leq(X17,minus(n6,n1)) )
& leq(n0,X16)
& leq(X16,minus(plus(n1,pv57),n1)) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f177,definition,
( ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f178,definition,
( ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n3,n1))
& leq(X13,minus(n3,n1)) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f179,plain,
( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n6,n1))
& leq(X11,minus(n6,n1)) )
| sP6
| sP5
| sP4 )
& leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,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,X6)
| ~ leq(n0,X7)
| ~ leq(X6,pv57)
| ~ 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(pv57,n1)) ) ),
inference(definition_folding,[],[f154,f178,f177,f176]) ).
fof(f213,plain,
( ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n3,n1))
& leq(X13,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,
( ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,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,
( ? [X16] :
( ? [X17] :
( a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16)
& leq(n0,X17)
& leq(X17,minus(n6,n1)) )
& leq(n0,X16)
& leq(X16,minus(plus(n1,pv57),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(plus(n1,pv57),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(plus(n1,pv57),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(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,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,X8)
| ~ leq(n0,X9)
| ~ leq(X8,pv57)
| ~ leq(X9,minus(n6,n1)) )
& ! [X10] :
( ! [X11] :
( a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10)
| ~ leq(n0,X11)
| ~ leq(X11,minus(n6,n1)) )
| ~ leq(n0,X10)
| ~ leq(X10,minus(pv57,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(n0,pv57)
& leq(pv5,minus(n999,n1))
& leq(pv57,minus(n6,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,X8)
| ~ leq(n0,X9)
| ~ leq(X8,pv57)
| ~ leq(X9,minus(n6,n1)) )
& ! [X10] :
( ! [X11] :
( a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10)
| ~ leq(n0,X11)
| ~ leq(X11,minus(n6,n1)) )
| ~ leq(n0,X10)
| ~ leq(X10,minus(pv57,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(f315,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
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(plus(n1,pv57),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(f350,plain,
! [X8,X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,pv57)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ),
inference(cnf_transformation,[],[f223]) ).
fof(f351,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(f352,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(f353,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(f355,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f223]) ).
fof(f357,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f223]) ).
fof(f358,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK41,minus(n6,n1))
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f223]) ).
fof(f359,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK40,minus(n6,n1))
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f223]) ).
fof(f360,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK41)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f223]) ).
fof(f361,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK40)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f223]) ).
fof(f362,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(f419,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f305,f304]) ).
fof(f428,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f315,f314,f304]) ).
fof(f442,plain,
( leq(sK41,minus(n6,n1))
| sP6
| sP5
| sP4 ),
inference(global_subsumption,[],[f358,f357,f355]) ).
fof(f443,plain,
( leq(sK40,minus(n6,n1))
| sP6
| sP5
| sP4 ),
inference(global_subsumption,[],[f359,f357,f355]) ).
fof(f444,plain,
( leq(n0,sK41)
| sP6
| sP5
| sP4 ),
inference(global_subsumption,[],[f360,f357,f355]) ).
fof(f445,plain,
( leq(n0,sK40)
| sP6
| sP5
| sP4 ),
inference(global_subsumption,[],[f361,f357,f355]) ).
fof(f446,plain,
( a_select3(q_ds1_filter,sK40,sK41) != a_select3(q_ds1_filter,sK41,sK40)
| sP6
| sP5
| sP4 ),
inference(global_subsumption,[],[f362,f357,f355]) ).
fof(f448,definition,
( spl42_1
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl42_1])],[avatar_definition]) ).
fof(f449,plain,
( sP6
| ~ spl42_1 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f450,plain,
( ~ sP6
| spl42_1 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f452,definition,
( spl42_2
<=> a_select3(r_ds1_filter,sK34,sK35) = a_select3(r_ds1_filter,sK35,sK34) ),
introduced(definition,[new_symbols(definition,[spl42_2])],[avatar_definition]) ).
fof(f454,plain,
( a_select3(r_ds1_filter,sK34,sK35) != a_select3(r_ds1_filter,sK35,sK34)
| spl42_2 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f455,plain,
( ~ spl42_1
| ~ spl42_2 ),
inference(avatar_split_clause,[],[f338,f452,f448]) ).
fof(f457,definition,
( spl42_3
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl42_3])],[avatar_definition]) ).
fof(f458,plain,
( sP5
| ~ spl42_3 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f459,plain,
( ~ sP5
| spl42_3 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f461,definition,
( spl42_4
<=> a_select3(pminus_ds1_filter,sK36,sK37) = a_select3(pminus_ds1_filter,sK37,sK36) ),
introduced(definition,[new_symbols(definition,[spl42_4])],[avatar_definition]) ).
fof(f463,plain,
( a_select3(pminus_ds1_filter,sK36,sK37) != a_select3(pminus_ds1_filter,sK37,sK36)
| spl42_4 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f464,plain,
( ~ spl42_3
| ~ spl42_4 ),
inference(avatar_split_clause,[],[f343,f461,f457]) ).
fof(f466,definition,
( spl42_5
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl42_5])],[avatar_definition]) ).
fof(f467,plain,
( sP4
| ~ spl42_5 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f468,plain,
( ~ sP4
| spl42_5 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f470,definition,
( spl42_6
<=> a_select3(id_ds1_filter,sK38,sK39) = a_select3(id_ds1_filter,sK39,sK38) ),
introduced(definition,[new_symbols(definition,[spl42_6])],[avatar_definition]) ).
fof(f472,plain,
( a_select3(id_ds1_filter,sK38,sK39) != a_select3(id_ds1_filter,sK39,sK38)
| spl42_6 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f473,plain,
( ~ spl42_5
| ~ spl42_6 ),
inference(avatar_split_clause,[],[f348,f470,f466]) ).
fof(f680,plain,
( leq(n0,sK41)
| sP6
| sP5
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f444,f468]) ).
fof(f681,plain,
( leq(n0,sK40)
| sP6
| sP5
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f445,f468]) ).
fof(f682,plain,
( leq(sK41,minus(n6,n1))
| sP6
| sP5
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f442,f468]) ).
fof(f683,plain,
( leq(sK40,minus(n6,n1))
| sP6
| sP5
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f443,f468]) ).
fof(f687,plain,
( leq(n0,sK41)
| sP5
| spl42_1
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f680,f450]) ).
fof(f689,definition,
( spl42_23
<=> leq(n0,sK41) ),
introduced(definition,[new_symbols(definition,[spl42_23])],[avatar_definition]) ).
fof(f691,plain,
( leq(n0,sK41)
| ~ spl42_23 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f692,plain,
( spl42_3
| spl42_23
| spl42_1
| spl42_5 ),
inference(avatar_split_clause,[],[f687,f466,f448,f689,f457]) ).
fof(f693,plain,
( leq(n0,sK40)
| sP5
| spl42_1
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f681,f450]) ).
fof(f695,definition,
( spl42_24
<=> leq(n0,sK40) ),
introduced(definition,[new_symbols(definition,[spl42_24])],[avatar_definition]) ).
fof(f697,plain,
( leq(n0,sK40)
| ~ spl42_24 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f698,plain,
( spl42_3
| spl42_24
| spl42_1
| spl42_5 ),
inference(avatar_split_clause,[],[f693,f466,f448,f695,f457]) ).
fof(f699,plain,
( leq(sK41,minus(n6,n1))
| sP5
| spl42_1
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f682,f450]) ).
fof(f701,definition,
( spl42_25
<=> leq(sK41,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl42_25])],[avatar_definition]) ).
fof(f703,plain,
( leq(sK41,minus(n6,n1))
| ~ spl42_25 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f704,plain,
( spl42_3
| spl42_25
| spl42_1
| spl42_5 ),
inference(avatar_split_clause,[],[f699,f466,f448,f701,f457]) ).
fof(f705,plain,
( leq(sK40,minus(n6,n1))
| sP5
| spl42_1
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f683,f450]) ).
fof(f707,definition,
( spl42_26
<=> leq(sK40,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl42_26])],[avatar_definition]) ).
fof(f709,plain,
( leq(sK40,minus(n6,n1))
| ~ spl42_26 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f710,plain,
( spl42_3
| spl42_26
| spl42_1
| spl42_5 ),
inference(avatar_split_clause,[],[f705,f466,f448,f707,f457]) ).
fof(f896,plain,
( a_select3(q_ds1_filter,sK40,sK41) != a_select3(q_ds1_filter,sK41,sK40)
| sP5
| sP4
| spl42_1 ),
inference(forward_subsumption_resolution,[],[f446,f450]) ).
fof(f899,plain,
( a_select3(q_ds1_filter,sK40,sK41) != a_select3(q_ds1_filter,sK41,sK40)
| sP5
| spl42_1
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f896,f468]) ).
fof(f902,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_25 ),
inference(resolution,[],[f703,f353]) ).
fof(f906,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_23
| ~ spl42_25 ),
inference(forward_subsumption_resolution,[],[f902,f691]) ).
fof(f914,plain,
( a_select3(q_ds1_filter,sK40,sK41) != a_select3(q_ds1_filter,sK41,sK40)
| spl42_1
| spl42_3
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f899,f459]) ).
fof(f942,plain,
( ~ leq(n0,sK40)
| a_select3(q_ds1_filter,sK40,sK41) = a_select3(q_ds1_filter,sK41,sK40)
| ~ spl42_23
| ~ spl42_25
| ~ spl42_26 ),
inference(resolution,[],[f906,f709]) ).
fof(f944,plain,
( a_select3(q_ds1_filter,sK40,sK41) = a_select3(q_ds1_filter,sK41,sK40)
| ~ spl42_23
| ~ spl42_24
| ~ spl42_25
| ~ spl42_26 ),
inference(forward_subsumption_resolution,[],[f942,f697]) ).
fof(f947,plain,
( $false
| spl42_1
| spl42_3
| spl42_5
| ~ spl42_23
| ~ spl42_24
| ~ spl42_25
| ~ spl42_26 ),
inference(forward_subsumption_resolution,[],[f944,f914]) ).
fof(f948,plain,
( spl42_1
| spl42_3
| spl42_5
| ~ spl42_23
| ~ spl42_24
| ~ spl42_25
| ~ spl42_26 ),
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f999,plain,
( leq(n0,sK35)
| ~ spl42_1 ),
inference(forward_subsumption_resolution,[],[f336,f449]) ).
fof(f1000,plain,
( leq(n0,sK34)
| ~ spl42_1 ),
inference(forward_subsumption_resolution,[],[f337,f449]) ).
fof(f1001,plain,
( leq(sK35,minus(n3,n1))
| ~ spl42_1 ),
inference(forward_subsumption_resolution,[],[f334,f449]) ).
fof(f1002,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_1 ),
inference(resolution,[],[f1001,f352]) ).
fof(f1003,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_1 ),
inference(forward_subsumption_resolution,[],[f1002,f999]) ).
fof(f1012,plain,
( leq(sK34,minus(n3,n1))
| ~ spl42_1 ),
inference(forward_subsumption_resolution,[],[f335,f449]) ).
fof(f1013,plain,
( ~ leq(n0,sK34)
| a_select3(r_ds1_filter,sK34,sK35) = a_select3(r_ds1_filter,sK35,sK34)
| ~ spl42_1 ),
inference(resolution,[],[f1012,f1003]) ).
fof(f1016,plain,
( a_select3(r_ds1_filter,sK34,sK35) = a_select3(r_ds1_filter,sK35,sK34)
| ~ spl42_1 ),
inference(forward_subsumption_resolution,[],[f1013,f1000]) ).
fof(f1017,plain,
( $false
| ~ spl42_1
| spl42_2 ),
inference(forward_subsumption_resolution,[],[f1016,f454]) ).
fof(f1018,plain,
( ~ spl42_1
| spl42_2 ),
inference(avatar_contradiction_clause,[],[f1017]) ).
fof(f1135,plain,
( leq(n0,sK38)
| ~ spl42_5 ),
inference(forward_subsumption_resolution,[],[f345,f467]) ).
fof(f1141,plain,
( leq(n0,sK39)
| ~ spl42_5 ),
inference(forward_subsumption_resolution,[],[f347,f467]) ).
fof(f1147,plain,
( leq(sK39,minus(n6,n1))
| ~ spl42_5 ),
inference(forward_subsumption_resolution,[],[f346,f467]) ).
fof(f1149,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK39)
| ~ leq(X0,pv57)
| a_select3(id_ds1_filter,X0,sK39) = a_select3(id_ds1_filter,sK39,X0) )
| ~ spl42_5 ),
inference(resolution,[],[f1147,f350]) ).
fof(f1163,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,pv57)
| a_select3(id_ds1_filter,X0,sK39) = a_select3(id_ds1_filter,sK39,X0) )
| ~ spl42_5 ),
inference(forward_subsumption_resolution,[],[f1149,f1141]) ).
fof(f1178,plain,
( ~ leq(sK38,pv57)
| a_select3(id_ds1_filter,sK38,sK39) = a_select3(id_ds1_filter,sK39,sK38)
| ~ spl42_5 ),
inference(resolution,[],[f1163,f1135]) ).
fof(f1185,plain,
( ~ leq(sK38,pv57)
| ~ spl42_5
| spl42_6 ),
inference(forward_subsumption_resolution,[],[f1178,f472]) ).
fof(f1311,plain,
! [X0] : minus(plus(n1,X0),n1) = X0,
inference(superposition,[],[f428,f419]) ).
fof(f1578,plain,
( leq(sK38,minus(plus(n1,pv57),n1))
| ~ spl42_5 ),
inference(forward_subsumption_resolution,[],[f344,f467]) ).
fof(f1579,plain,
( leq(sK38,pv57)
| ~ spl42_5 ),
inference(forward_demodulation,[],[f1578,f1311]) ).
fof(f1580,plain,
( $false
| ~ spl42_5
| spl42_6 ),
inference(forward_subsumption_resolution,[],[f1579,f1185]) ).
fof(f1581,plain,
( ~ spl42_5
| spl42_6 ),
inference(avatar_contradiction_clause,[],[f1580]) ).
fof(f1586,plain,
( leq(n0,sK37)
| ~ spl42_3 ),
inference(forward_subsumption_resolution,[],[f341,f458]) ).
fof(f1592,plain,
( leq(n0,sK36)
| ~ spl42_3 ),
inference(forward_subsumption_resolution,[],[f342,f458]) ).
fof(f1598,plain,
( leq(sK37,minus(n6,n1))
| ~ spl42_3 ),
inference(forward_subsumption_resolution,[],[f339,f458]) ).
fof(f1601,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_3 ),
inference(resolution,[],[f1598,f351]) ).
fof(f1613,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_3 ),
inference(forward_subsumption_resolution,[],[f1601,f1586]) ).
fof(f1666,plain,
( leq(sK36,minus(n6,n1))
| ~ spl42_3 ),
inference(forward_subsumption_resolution,[],[f340,f458]) ).
fof(f1681,plain,
( ~ leq(n0,sK36)
| a_select3(pminus_ds1_filter,sK36,sK37) = a_select3(pminus_ds1_filter,sK37,sK36)
| ~ spl42_3 ),
inference(resolution,[],[f1666,f1613]) ).
fof(f1682,plain,
( a_select3(pminus_ds1_filter,sK36,sK37) = a_select3(pminus_ds1_filter,sK37,sK36)
| ~ spl42_3 ),
inference(forward_subsumption_resolution,[],[f1681,f1592]) ).
fof(f1687,plain,
( $false
| ~ spl42_3
| spl42_4 ),
inference(forward_subsumption_resolution,[],[f1682,f463]) ).
fof(f1688,plain,
( ~ spl42_3
| spl42_4 ),
inference(avatar_contradiction_clause,[],[f1687]) ).
cnf(s195,plain,
( ~ spl42_1
| ~ spl42_2 ),
inference(sat_conversion,[],[f455]) ).
cnf(s199,plain,
( ~ spl42_3
| ~ spl42_4 ),
inference(sat_conversion,[],[f464]) ).
cnf(s203,plain,
( ~ spl42_5
| ~ spl42_6 ),
inference(sat_conversion,[],[f473]) ).
cnf(s311,plain,
( spl42_1
| spl42_3
| spl42_5
| spl42_23 ),
inference(sat_conversion,[],[f692]) ).
cnf(s314,plain,
( spl42_1
| spl42_3
| spl42_5
| spl42_24 ),
inference(sat_conversion,[],[f698]) ).
cnf(s317,plain,
( spl42_1
| spl42_3
| spl42_5
| spl42_25 ),
inference(sat_conversion,[],[f704]) ).
cnf(s320,plain,
( spl42_1
| spl42_3
| spl42_5
| spl42_26 ),
inference(sat_conversion,[],[f710]) ).
cnf(s548,plain,
( spl42_1
| spl42_3
| spl42_5
| ~ spl42_23
| ~ spl42_24
| ~ spl42_25
| ~ spl42_26 ),
inference(sat_conversion,[],[f948]) ).
cnf(s602,plain,
( ~ spl42_1
| spl42_2 ),
inference(sat_conversion,[],[f1018]) ).
cnf(s893,plain,
( ~ spl42_5
| spl42_6 ),
inference(sat_conversion,[],[f1581]) ).
cnf(s943,plain,
( ~ spl42_3
| spl42_4 ),
inference(sat_conversion,[],[f1688]) ).
cnf(s948,plain,
( spl42_5
| spl42_3
| spl42_1 ),
inference(rat,[],[s548,s311,s314,s317,s320]) ).
cnf(s949,plain,
~ spl42_5,
inference(rat,[],[s203,s893]) ).
cnf(s950,plain,
~ spl42_3,
inference(rat,[],[s199,s943]) ).
cnf(s951,plain,
spl42_1,
inference(rat,[],[s948,s949,s950]) ).
cnf(s952,plain,
spl42_2,
inference(rat,[],[s602,s951]) ).
cnf(s953,plain,
$false,
inference(rat,[],[s195,s952,s951]) ).
fof(f1689,plain,
$false,
inference(avatar_sat_refutation,[],[s953]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV112+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n013.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 09:54:52 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.33 % (1066462)Will run a generic schedule for satisfiability detection.
% 0.21/0.33 % (1066470)dis+10_1_sil=32000:sp=arity:random_seed=2416757174:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.33 % (1066468)% WARNING: option uhcvi not known.
% 0.21/0.33 % (1066467)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1502169136_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.33 % (1066468)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3452574799:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.33 % (1066469)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3415697635:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.33 % (1066471)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3888358170:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.33 % (1066472)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1910276623:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.33 % (1066473)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4138967226:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.33 % (1066470)Instruction limit reached!
% 0.21/0.33 % (1066470)------------------------------
% 0.21/0.33 % (1066470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33 % (1066470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (1066470)CaDiCaL version: 2.1.3
% 0.21/0.33 % (1066470)Termination reason: Instruction limit
% 0.21/0.33 % (1066470)Termination phase: Saturation
% 0.21/0.33 % (1066470)Time elapsed: 0.032 s
% 0.21/0.33 % (1066470)Peak memory usage: 13 MB
% 0.21/0.33 % (1066470)Instructions burned: 103 (million)
% 0.21/0.33 % (1066481)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=469283531:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.33 % TRYING [1]
% 0.21/0.33 % (1066469) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1066462-1066469"...
% 0.21/0.33 % TRYING [2]
% 0.21/0.33 % TRYING [1]
% 0.21/0.33 % TRYING [2]
% 0.21/0.33 % (1066469)...printing done.
% 0.21/0.33 % (1066469)Refutation found. Thanks to Tanya!
% 0.21/0.33 % SZS status Theorem for theBenchmark
% 0.21/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.33 % (1066469)------------------------------
% 0.21/0.33 % (1066469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33 % (1066469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (1066469)CaDiCaL version: 2.1.3
% 0.21/0.33 % (1066469)Termination reason: Refutation
% 0.21/0.33 % (1066469)Time elapsed: 0.045 s
% 0.21/0.33 % (1066469)Peak memory usage: 13 MB
% 0.21/0.33 % (1066469)Instructions burned: 71 (million)
% 0.21/0.33 % (1066462)Success in time 0.091 s
% 0.21/0.33 % Vampire exiting
%------------------------------------------------------------------------------