%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA050_1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:28:30 PM UTC 2026
% Result : Theorem 3.14s 1.43s
% Output : Refutation 4.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 72 ( 47 unt; 0 typ; 0 def)
% Number of atoms : 97 ( 71 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 4 ~; 19 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number arithmetic : 786 ( 25 atm; 382 fun; 217 num; 162 var)
% Number of types : 2 ( 0 usr; 2 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 14 usr; 12 con; 0-4 aty)
% Number of variables : 162 ( 162 !; 0 ?; 162 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
lk: $int > $int ).
tff(func_def_1,type,
ns: $int > $int ).
tff(func_def_2,type,
dc: ( $real * $int * $int ) > $real ).
tff(func_def_3,type,
imp: ( $real * $int * $int ) > $real ).
tff(func_def_4,type,
recexp: ( $real * $int * $int ) > $real ).
tff(func_def_5,type,
mylk: $int > $int ).
tff(func_def_6,type,
mysumr: ( $real * $int * $int * $int ) > $real ).
tff(func_def_7,type,
mysump: ( $real * $int * $int * $int ) > $real ).
tff(func_def_8,type,
problen: $int ).
tff(func_def_9,type,
probsize: $int ).
tff(func_def_26,type,
sK0: $int ).
tff(func_def_27,type,
sK1: $int ).
tff(func_def_28,type,
sK2: $real ).
tff(func_def_29,type,
sK3: $int ).
tff(f3,axiom,
lk(0) = 1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lk_0) ).
tff(f8,negated_conjecture,
! [X1: $int,X0: $real,X2: $int] : ( $product(dc(X0,X1,X2),$to_real($difference(X1,ns(X2)))) = $difference($to_real(X1),$product(X0,$to_real(ns(X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dc) ).
tff(f10,negated_conjecture,
! [X1: $int,X0: $real,X2: $int] :
( $lesseq(1,X2)
=> ( $product($to_real(X1),imp(X0,X1,X2)) = $sum($product(X0,$to_real(lk($difference(X2,1)))),mysump(X0,X1,X2,$difference(X2,2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',imp_n) ).
tff(f11,negated_conjecture,
! [X2: $int,X0: $real,X1: $int] : ( mysump(X0,X1,X2,0) = 0/1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mysump_0) ).
tff(f14,negated_conjecture,
! [X1: $int,X0: $real,X2: $int] :
( $lesseq(1,X2)
=> ( $product(imp(X0,X1,X2),$product($to_real(X1),recexp(X0,X1,X2))) = $sum($sum($to_real(X1),$product($product(X0,recexp(X0,X1,$difference(X2,1))),$to_real(lk($difference(X2,1))))),mysumr(X0,X1,X2,$difference(X2,2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',recexp_n) ).
tff(f18,negated_conjecture,
! [X2: $int,X1: $int,X0: $real] : ( mysumr(X0,X1,X2,0) = 0/1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mysumr_0) ).
tff(f20,plain,
! [X1: $int,X0: $real,X2: $int] :
( ~ $less(X2,1)
=> ( $product(imp(X0,X1,X2),$product($to_real(X1),recexp(X0,X1,X2))) = $sum($sum($to_real(X1),$product($product(X0,recexp(X0,X1,$sum(X2,$uminus(1)))),$to_real(lk($sum(X2,$uminus(1)))))),mysumr(X0,X1,X2,$sum(X2,$uminus(2)))) ) ),
inference(theory_normalization,[],[f14]) ).
tff(f25,plain,
! [X1: $int,X0: $real,X2: $int] : ( $sum($to_real(X1),$uminus($product(X0,$to_real(ns(X2))))) = $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) ),
inference(theory_normalization,[],[f8]) ).
tff(f29,plain,
! [X1: $int,X0: $real,X2: $int] :
( ~ $less(X2,1)
=> ( $product($to_real(X1),imp(X0,X1,X2)) = $sum($product(X0,$to_real(lk($sum(X2,$uminus(1))))),mysump(X0,X1,X2,$sum(X2,$uminus(2)))) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f31,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f35,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(definition,[],[tha_inverse_op_unit]) ).
tff(f41,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(definition,[],[tha_minus_minus_x]) ).
tff(f60,plain,
! [X0: $real,X1: $real] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f63,plain,
! [X0: $real] : ( 0/1 = $product(X0,0/1) ),
introduced(definition,[],[tha_times_zero]) ).
tff(f66,plain,
! [X0: $int,X2: $real,X1: $int] : ( 0/1 = mysumr(X2,X1,X0,0) ),
inference(rectify,[],[f18]) ).
tff(f67,plain,
! [X2: $int,X1: $real,X0: $int] : ( 0/1 = mysump(X1,X2,X0,0) ),
inference(rectify,[],[f11]) ).
tff(f69,plain,
! [X1: $real,X2: $int,X0: $int] :
( ~ $less(X2,1)
=> ( $sum($sum($to_real(X0),$product($product(X1,recexp(X1,X0,$sum(X2,$uminus(1)))),$to_real(lk($sum(X2,$uminus(1)))))),mysumr(X1,X0,X2,$sum(X2,$uminus(2)))) = $product(imp(X1,X0,X2),$product($to_real(X0),recexp(X1,X0,X2))) ) ),
inference(rectify,[],[f20]) ).
tff(f72,plain,
! [X2: $int,X0: $int,X1: $real] : ( $sum($to_real(X0),$uminus($product(X1,$to_real(ns(X2))))) = $product(dc(X1,X0,X2),$to_real($sum(X0,$uminus(ns(X2))))) ),
inference(rectify,[],[f25]) ).
tff(f73,plain,
! [X0: $int,X2: $int,X1: $real] :
( ~ $less(X2,1)
=> ( $sum($product(X1,$to_real(lk($sum(X2,$uminus(1))))),mysump(X1,X0,X2,$sum(X2,$uminus(2)))) = $product($to_real(X0),imp(X1,X0,X2)) ) ),
inference(rectify,[],[f29]) ).
tff(f79,plain,
! [X0: $int,X2: $int,X1: $real] :
( $less(X2,1)
| ( $sum($sum($to_real(X0),$product($product(X1,recexp(X1,X0,$sum(X2,$uminus(1)))),$to_real(lk($sum(X2,$uminus(1)))))),mysumr(X1,X0,X2,$sum(X2,$uminus(2)))) = $product(imp(X1,X0,X2),$product($to_real(X0),recexp(X1,X0,X2))) ) ),
inference(ennf_transformation,[],[f69]) ).
tff(f86,plain,
! [X1: $real,X0: $int,X2: $int] :
( $less(X2,1)
| ( $sum($product(X1,$to_real(lk($sum(X2,$uminus(1))))),mysump(X1,X0,X2,$sum(X2,$uminus(2)))) = $product($to_real(X0),imp(X1,X0,X2)) ) ),
inference(ennf_transformation,[],[f73]) ).
tff(f87,plain,
! [X0: $int,X1: $int,X2: $real] : ( $sum($to_real(X1),$uminus($product(X2,$to_real(ns(X0))))) = $product(dc(X2,X1,X0),$to_real($sum(X1,$uminus(ns(X0))))) ),
inference(rectify,[],[f72]) ).
tff(f89,plain,
! [X0: $int,X1: $real,X2: $int] : ( 0/1 = mysump(X1,X0,X2,0) ),
inference(rectify,[],[f67]) ).
tff(f91,plain,
! [X0: $real,X1: $int,X2: $int] :
( $less(X2,1)
| ( $product($to_real(X1),imp(X0,X1,X2)) = $sum($product(X0,$to_real(lk($sum(X2,$uminus(1))))),mysump(X0,X1,X2,$sum(X2,$uminus(2)))) ) ),
inference(rectify,[],[f86]) ).
tff(f92,plain,
! [X0: $int,X1: $int,X2: $real] :
( $less(X1,1)
| ( $sum($sum($to_real(X0),$product($product(X2,recexp(X2,X0,$sum(X1,$uminus(1)))),$to_real(lk($sum(X1,$uminus(1)))))),mysumr(X2,X0,X1,$sum(X1,$uminus(2)))) = $product(imp(X2,X0,X1),$product($to_real(X0),recexp(X2,X0,X1))) ) ),
inference(rectify,[],[f79]) ).
tff(f95,plain,
! [X0: $int,X1: $real,X2: $int] : ( 0/1 = mysumr(X1,X2,X0,0) ),
inference(rectify,[],[f66]) ).
tff(f96,plain,
! [X2: $real,X0: $int,X1: $int] : ( $sum($to_real(X1),$uminus($product(X2,$to_real(ns(X0))))) = $product(dc(X2,X1,X0),$to_real($sum(X1,$uminus(ns(X0))))) ),
inference(cnf_transformation,[],[f87]) ).
tff(f99,plain,
! [X2: $int,X0: $int,X1: $real] : ( 0/1 = mysump(X1,X0,X2,0) ),
inference(cnf_transformation,[],[f89]) ).
tff(f101,plain,
! [X2: $int,X0: $real,X1: $int] :
( $less(X2,1)
| ( $product($to_real(X1),imp(X0,X1,X2)) = $sum($product(X0,$to_real(lk($sum(X2,$uminus(1))))),mysump(X0,X1,X2,$sum(X2,$uminus(2)))) ) ),
inference(cnf_transformation,[],[f91]) ).
tff(f103,plain,
lk(0) = 1,
inference(cnf_transformation,[],[f3]) ).
tff(f106,plain,
! [X2: $real,X0: $int,X1: $int] :
( $less(X1,1)
| ( $sum($sum($to_real(X0),$product($product(X2,recexp(X2,X0,$sum(X1,$uminus(1)))),$to_real(lk($sum(X1,$uminus(1)))))),mysumr(X2,X0,X1,$sum(X1,$uminus(2)))) = $product(imp(X2,X0,X1),$product($to_real(X0),recexp(X2,X0,X1))) ) ),
inference(cnf_transformation,[],[f92]) ).
tff(f117,plain,
! [X2: $int,X0: $int,X1: $real] : ( 0/1 = mysumr(X1,X2,X0,0) ),
inference(cnf_transformation,[],[f95]) ).
tff(f136,plain,
! [X2: $real,X0: $int,X1: $int] :
( ( $sum($sum($to_real(X0),$product($product(X2,recexp(X2,X0,$sum(X1,-1))),$to_real(lk($sum(X1,-1))))),mysumr(X2,X0,X1,$sum(X1,-2))) = $product(imp(X2,X0,X1),$product($to_real(X0),recexp(X2,X0,X1))) )
| $less(X1,1) ),
inference(evaluation,[],[f106]) ).
tff(f137,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( $product($to_real(X1),imp(X0,X1,X2)) = $sum($product(X0,$to_real(lk($sum(X2,-1)))),mysump(X0,X1,X2,$sum(X2,-2))) )
| $less(X2,1) ),
inference(evaluation,[],[f101]) ).
tff(f161,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f35,f41]) ).
tff(f162,plain,
! [X0: $int,X1: $real] : ( $sum($to_real(ns(X0)),$uminus($product(X1,$to_real(ns(X0))))) = $product(dc(X1,ns(X0),X0),$to_real(0)) ),
inference(superposition,[],[f96,f35]) ).
tff(f163,plain,
! [X0: $int,X1: $real] : ( 0/1 = $sum($to_real(ns(X0)),$uminus($product(X1,$to_real(ns(X0))))) ),
inference(evaluation,[],[f162]) ).
tff(f176,plain,
! [X0: $int,X1: $real] :
( ( $product($to_real(X0),imp(X1,X0,$uminus(-1))) = $sum($product(X1,$to_real(lk(0))),mysump(X1,X0,$uminus(-1),$sum($uminus(-1),-2))) )
| $less($uminus(-1),1) ),
inference(superposition,[],[f137,f161]) ).
tff(f177,plain,
! [X0: $int,X1: $real] :
( $less($uminus(-2),1)
| ( $sum($sum($to_real(X0),$product($product(X1,recexp(X1,X0,$sum($uminus(-2),-1))),$to_real(lk($sum($uminus(-2),-1))))),mysumr(X1,X0,$uminus(-2),0)) = $product(imp(X1,X0,$uminus(-2)),$product($to_real(X0),recexp(X1,X0,$uminus(-2)))) ) ),
inference(superposition,[],[f136,f161]) ).
tff(f178,plain,
! [X0: $int,X1: $real] :
( ( $sum($product(X1,$to_real(lk($sum($uminus(-2),-1)))),mysump(X1,X0,$uminus(-2),0)) = $product($to_real(X0),imp(X1,X0,$uminus(-2))) )
| $less($uminus(-2),1) ),
inference(superposition,[],[f137,f161]) ).
tff(f180,plain,
! [X0: $int,X1: $real] : ( $sum($product(X1,$to_real(lk(0))),mysump(X1,X0,1,-1)) = $product($to_real(X0),imp(X1,X0,1)) ),
inference(evaluation,[],[f176]) ).
tff(f184,plain,
! [X0: $int,X1: $real] : ( $product(imp(X1,X0,2),$product($to_real(X0),recexp(X1,X0,2))) = $sum($sum($to_real(X0),$product($product(X1,recexp(X1,X0,1)),$to_real(lk(1)))),mysumr(X1,X0,2,0)) ),
inference(evaluation,[],[f177]) ).
tff(f186,plain,
! [X0: $int,X1: $real] : ( $product($to_real(X0),imp(X1,X0,2)) = $sum($product(X1,$to_real(lk(1))),mysump(X1,X0,2,0)) ),
inference(evaluation,[],[f178]) ).
tff(f190,plain,
! [X0: $int,X1: $real] : ( $sum($product(X1,$to_real(1)),mysump(X1,X0,1,-1)) = $product($to_real(X0),imp(X1,X0,1)) ),
inference(forward_demodulation,[],[f180,f103]) ).
tff(f191,plain,
! [X0: $int,X1: $real] : ( $product($to_real(X0),imp(X1,X0,1)) = $sum(X1,mysump(X1,X0,1,-1)) ),
inference(evaluation,[],[f190]) ).
tff(f195,plain,
! [X0: $int,X1: $real] : ( $sum($sum($to_real(X0),$product($product(X1,recexp(X1,X0,1)),$to_real(lk(1)))),0/1) = $product(imp(X1,X0,2),$product($to_real(X0),recexp(X1,X0,2))) ),
inference(forward_demodulation,[],[f184,f117]) ).
tff(f196,plain,
! [X0: $int,X1: $real] : ( $sum($to_real(X0),$product($product(X1,recexp(X1,X0,1)),$to_real(lk(1)))) = $product(imp(X1,X0,2),$product($to_real(X0),recexp(X1,X0,2))) ),
inference(evaluation,[],[f195]) ).
tff(f199,plain,
! [X0: $int,X1: $real] : ( $product($to_real(X0),imp(X1,X0,2)) = $sum($product(X1,$to_real(lk(1))),0/1) ),
inference(forward_demodulation,[],[f186,f99]) ).
tff(f200,plain,
! [X0: $int,X1: $real] : ( $product(X1,$to_real(lk(1))) = $product($to_real(X0),imp(X1,X0,2)) ),
inference(evaluation,[],[f199]) ).
tff(f263,plain,
! [X2: $real,X0: $int,X1: $int] :
( ( $sum($product(X2,$to_real(lk($sum(-1,X0)))),mysump(X2,X1,X0,$sum(X0,-2))) = $product($to_real(X1),imp(X2,X1,X0)) )
| $less(X0,1) ),
inference(superposition,[],[f137,f31]) ).
tff(f491,plain,
! [X0: $int,X1: $real] : ( 0/1 = $sum($to_real(ns(X0)),$uminus($product($to_real(ns(X0)),X1))) ),
inference(superposition,[],[f163,f60]) ).
tff(f544,plain,
! [X0: $int] : ( 0/1 = $sum($to_real(ns(X0)),$uminus(0/1)) ),
inference(superposition,[],[f491,f63]) ).
tff(f547,plain,
! [X0: $int] : ( 0/1 = $to_real(ns(X0)) ),
inference(evaluation,[],[f544]) ).
tff(f552,plain,
! [X0: $int,X1: $real] : ( $sum(X1,mysump(X1,ns(X0),1,-1)) = $product(0/1,imp(X1,ns(X0),1)) ),
inference(superposition,[],[f191,f547]) ).
tff(f554,plain,
! [X0: $real,X1: $int] : ( $product(X0,$to_real(lk(1))) = $product(0/1,imp(X0,ns(X1),2)) ),
inference(superposition,[],[f200,f547]) ).
tff(f556,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( $product(0/1,imp(X0,ns(X2),X1)) = $sum($product(X0,$to_real(lk($sum(-1,X1)))),mysump(X0,ns(X2),X1,$sum(X1,-2))) )
| $less(X1,1) ),
inference(superposition,[],[f263,f547]) ).
tff(f559,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( 0/1 = $sum($product(X0,$to_real(lk($sum(-1,X1)))),mysump(X0,ns(X2),X1,$sum(X1,-2))) )
| $less(X1,1) ),
inference(evaluation,[],[f556]) ).
tff(f561,plain,
! [X0: $int,X1: $real] : ( 0/1 = $sum(X1,mysump(X1,ns(X0),1,-1)) ),
inference(evaluation,[],[f552]) ).
tff(f562,plain,
! [X0: $real] : ( 0/1 = $product(X0,$to_real(lk(1))) ),
inference(evaluation,[],[f554]) ).
tff(f576,plain,
! [X0: $int,X1: $real] : ( $product(imp(X1,X0,2),$product($to_real(X0),recexp(X1,X0,2))) = $sum($to_real(X0),0/1) ),
inference(superposition,[],[f196,f562]) ).
tff(f581,plain,
! [X0: $int,X1: $real] : ( $product(imp(X1,X0,2),$product($to_real(X0),recexp(X1,X0,2))) = $to_real(X0) ),
inference(evaluation,[],[f576]) ).
tff(f785,plain,
! [X2: $int,X0: $int,X1: $real] :
( ( 0/1 = $sum($product($to_real(lk($sum(-1,X0))),X1),mysump(X1,ns(X2),X0,$sum(X0,-2))) )
| $less(X0,1) ),
inference(superposition,[],[f559,f60]) ).
tff(f874,plain,
! [X2: $int,X0: $real,X1: $int] :
( $less(X1,1)
| ( 0/1 = $sum($product(X0,$to_real(lk(1))),mysump(imp(X0,lk($sum(-1,X1)),2),ns(X2),X1,$sum(X1,-2))) ) ),
inference(superposition,[],[f785,f200]) ).
tff(f904,plain,
! [X2: $int,X0: $real,X1: $int] :
( $less(X1,1)
| ( 0/1 = $sum(0/1,mysump(imp(X0,lk($sum(-1,X1)),2),ns(X2),X1,$sum(X1,-2))) ) ),
inference(forward_demodulation,[],[f874,f562]) ).
tff(f905,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( 0/1 = mysump(imp(X0,lk($sum(-1,X1)),2),ns(X2),X1,$sum(X1,-2)) )
| $less(X1,1) ),
inference(evaluation,[],[f904]) ).
tff(f923,plain,
! [X0: $real,X1: $int] :
( $less($uminus(-1),1)
| ( 0/1 = mysump(imp(X0,lk(0),2),ns(X1),$uminus(-1),$sum($uminus(-1),-2)) ) ),
inference(superposition,[],[f905,f35]) ).
tff(f941,plain,
! [X0: $real,X1: $int] : ( 0/1 = mysump(imp(X0,lk(0),2),ns(X1),1,-1) ),
inference(evaluation,[],[f923]) ).
tff(f950,plain,
! [X0: $real,X1: $int] : ( 0/1 = mysump(imp(X0,1,2),ns(X1),1,-1) ),
inference(forward_demodulation,[],[f941,f103]) ).
tff(f959,plain,
! [X0: $real] : ( 0/1 = $sum(imp(X0,1,2),0/1) ),
inference(superposition,[],[f561,f950]) ).
tff(f962,plain,
! [X0: $real] : ( 0/1 = imp(X0,1,2) ),
inference(evaluation,[],[f959]) ).
tff(f966,plain,
! [X0: $real] : ( $to_real(1) = $product(0/1,$product($to_real(1),recexp(X0,1,2))) ),
inference(superposition,[],[f581,f962]) ).
tff(f969,plain,
$false,
inference(evaluation,[],[f966]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA050_1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:21:02 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.42 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
% 3.14/1.43 % (4020140)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.14/1.43 % (4020147)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=91658534:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.14/1.43 % (4020148)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3919975904:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.14/1.43 % (4020145)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=193020349:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.14/1.43 % (4020146)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=684594923:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.14/1.43 % (4020150)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3332792362:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.14/1.43 % (4020148)Instruction limit reached!
% 3.14/1.43 % (4020148)------------------------------
% 3.14/1.43 % (4020148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.43 % (4020148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.43 % (4020148)CaDiCaL version: 2.1.3
% 3.14/1.43 % (4020148)Termination reason: Instruction limit
% 3.14/1.43 % (4020148)Termination phase: Saturation
% 3.14/1.43 % (4020148)Time elapsed: 0.005 s
% 3.14/1.43 % (4020148)Peak memory usage: 88 MB
% 3.14/1.43 % (4020148)Instructions burned: 7 (million)
% 3.14/1.43 % (4020151)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1197338964:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.14/1.43 % (4020149)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2095639071:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.14/1.43 % (4020149)Instruction limit reached!
% 3.14/1.43 % (4020149)------------------------------
% 3.14/1.43 % (4020149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.43 % (4020149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.43 % (4020149)CaDiCaL version: 2.1.3
% 3.14/1.43 % (4020149)Termination reason: Instruction limit
% 3.14/1.43 % (4020149)Termination phase: Saturation
% 3.14/1.43 % (4020149)Time elapsed: 0.003 s
% 3.14/1.43 % (4020149)Peak memory usage: 88 MB
% 3.14/1.43 % (4020149)Instructions burned: 4 (million)
% 3.14/1.43 % (4020145)Instruction limit reached!
% 3.14/1.43 % (4020145)------------------------------
% 3.14/1.43 % (4020145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.43 % (4020145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.43 % (4020145)CaDiCaL version: 2.1.3
% 3.14/1.43 % (4020145)Termination reason: Instruction limit
% 3.14/1.43 % (4020145)Termination phase: Saturation
% 3.14/1.43 % (4020145)Time elapsed: 0.030 s
% 3.14/1.43 % (4020145)Peak memory usage: 116 MB
% 3.14/1.43 % (4020145)Instructions burned: 13 (million)
% 3.14/1.43 % (4020150)Refutation not found, incomplete strategy
% 3.14/1.43 % (4020150)------------------------------
% 3.14/1.43 % (4020150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.43 % (4020150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.43 % (4020150)CaDiCaL version: 2.1.3
% 3.14/1.43 % (4020150)Termination reason: Refutation not found, incomplete strategy
% 3.14/1.43 % (4020150)Time elapsed: 0.036 s
% 3.14/1.43 % (4020150)Peak memory usage: 117 MB
% 3.14/1.43 % (4020150)Instructions burned: 15 (million)
% 3.14/1.43 % (4020151)Instruction limit reached!
% 3.14/1.43 % (4020151)------------------------------
% 3.14/1.43 % (4020151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.43 % (4020151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.43 % (4020151)CaDiCaL version: 2.1.3
% 3.14/1.43 % (4020151)Termination reason: Instruction limit
% 3.14/1.43 % (4020151)Termination phase: Saturation
% 3.14/1.43 % (4020151)Time elapsed: 0.047 s
% 3.14/1.43 % (4020151)Peak memory usage: 117 MB
% 3.14/1.43 % (4020151)Instructions burned: 34 (million)
% 3.14/1.43 % (4020147)Instruction limit reached!
% 3.14/1.43 % (4020147)------------------------------
% 3.14/1.43 % (4020147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.43 % (4020147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.43 % (4020147)CaDiCaL version: 2.1.3
% 3.14/1.43 % (4020147)Termination reason: Instruction limit
% 3.14/1.43 % (4020147)Termination phase: Saturation
% 3.14/1.43 % (4020147)Time elapsed: 0.096 s
% 3.14/1.43 % (4020147)Peak memory usage: 118 MB
% 3.14/1.43 % (4020147)Instructions burned: 204 (million)
% 3.14/1.43 % (4020146)Refutation not found, incomplete strategy
% 3.14/1.43 % (4020146)------------------------------
% 3.14/1.43 % (4020146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.43 % (4020146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.43 % (4020146)CaDiCaL version: 2.1.3
% 3.14/1.43 % (4020146)Termination reason: Refutation not found, incomplete strategy
% 3.14/1.43 % (4020146)Time elapsed: 0.056 s
% 3.14/1.43 % (4020146)Peak memory usage: 117 MB
% 3.14/1.43 % (4020146)Instructions burned: 43 (million)
% 3.14/1.43 % (4020159)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4145434514:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.14/1.43 % (4020159)Refutation not found, incomplete strategy
% 3.14/1.43 % (4020159)------------------------------
% 3.14/1.43 % (4020159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.43 % (4020159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.43 % (4020159)CaDiCaL version: 2.1.3
% 3.14/1.43 % (4020159)Termination reason: Refutation not found, incomplete strategy
% 3.14/1.43 % (4020159)Time elapsed: 0.004 s
% 3.14/1.43 % (4020159)Peak memory usage: 89 MB
% 3.14/1.43 % (4020159)Instructions burned: 4 (million)
% 3.14/1.43 % (4020162)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=639016409:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.14/1.43 % (4020160)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2588369679:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.14/1.43 % (4020162)Instruction limit reached!
% 3.14/1.43 % (4020162)------------------------------
% 3.14/1.43 % (4020162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.43 % (4020162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.43 % (4020162)CaDiCaL version: 2.1.3
% 3.14/1.43 % (4020162)Termination reason: Instruction limit
% 3.14/1.43 % (4020162)Termination phase: Saturation
% 3.14/1.43 % (4020162)Time elapsed: 0.009 s
% 3.14/1.43 % (4020162)Peak memory usage: 89 MB
% 3.14/1.43 % (4020162)Instructions burned: 25 (million)
% 3.14/1.43 % (4020160)Instruction limit reached!
% 3.14/1.43 % (4020160)------------------------------
% 3.14/1.43 % (4020160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.43 % (4020160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.43 % (4020160)CaDiCaL version: 2.1.3
% 3.14/1.43 % (4020160)Termination reason: Instruction limit
% 3.14/1.43 % (4020160)Termination phase: Saturation
% 3.14/1.43 % (4020160)Time elapsed: 0.023 s
% 3.14/1.43 % (4020160)Peak memory usage: 89 MB
% 3.14/1.43 % (4020160)Instructions burned: 30 (million)
% 3.14/1.43 % (4020161)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3904244280:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.14/1.43 % (4020161)Instruction limit reached!
% 3.14/1.43 % (4020161)------------------------------
% 3.14/1.43 % (4020161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.43 % (4020161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.43 % (4020161)CaDiCaL version: 2.1.3
% 3.14/1.43 % (4020161)Termination reason: Instruction limit
% 3.14/1.43 % (4020161)Termination phase: Saturation
% 3.14/1.43 % (4020161)Time elapsed: 0.011 s
% 3.14/1.43 % (4020161)Peak memory usage: 90 MB
% 3.14/1.43 % (4020161)Instructions burned: 16 (million)
% 3.14/1.43 % (4020163)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1182171143:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.14/1.43 % (4020163)Instruction limit reached!
% 3.14/1.43 % (4020163)------------------------------
% 3.14/1.43 % (4020163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.43 % (4020163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.43 % (4020163)CaDiCaL version: 2.1.3
% 3.14/1.43 % (4020163)Termination reason: Instruction limit
% 3.14/1.43 % (4020163)Termination phase: Saturation
% 3.14/1.43 % (4020163)Time elapsed: 0.016 s
% 3.14/1.43 % (4020163)Peak memory usage: 89 MB
% 3.14/1.43 % (4020163)Instructions burned: 28 (million)
% 3.14/1.43 % (4020167)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=856174686:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.14/1.43 % (4020167)First to succeed.
% 3.14/1.43 % (4020167)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4020140"
% 3.14/1.43 % (4020150)------------------------------
% 3.14/1.43 % (4020150)------------------------------
% 3.14/1.43 % (4020146)------------------------------
% 3.14/1.43 % (4020146)------------------------------
% 3.14/1.43 % (4020168)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2337960239:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 3.14/1.43 % (4020168)Instruction limit reached!
% 3.14/1.43 % (4020168)------------------------------
% 3.14/1.43 % (4020168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.43 % (4020168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.43 % (4020168)CaDiCaL version: 2.1.3
% 3.14/1.43 % (4020168)Termination reason: Instruction limit
% 3.14/1.43 % (4020168)Termination phase: Saturation
% 3.14/1.43 % (4020168)Time elapsed: 0.002 s
% 3.14/1.43 % (4020168)Peak memory usage: 87 MB
% 3.14/1.43 % (4020168)Instructions burned: 2 (million)
% 3.14/1.43 % (4020170)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3956713351:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.14/1.43 % (4020172)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=755833833:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 3.14/1.43 % (4020172)Instruction limit reached!
% 3.14/1.43 % (4020172)------------------------------
% 3.14/1.43 % (4020172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.43 % (4020172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.43 % (4020172)CaDiCaL version: 2.1.3
% 3.14/1.43 % (4020172)Termination reason: Instruction limit
% 3.14/1.43 % (4020172)Termination phase: Saturation
% 3.14/1.43 % (4020172)Time elapsed: 0.003 s
% 3.14/1.43 % (4020172)Peak memory usage: 88 MB
% 3.14/1.43 % (4020172)Instructions burned: 4 (million)
% 3.14/1.43 % (4020159)------------------------------
% 3.14/1.43 % (4020159)------------------------------
% 3.14/1.43 % (4020167)Refutation found. Thanks to Tanya!
% 3.14/1.43 % SZS status Theorem for theBenchmark
% 3.14/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 4.62/1.62 % (4020167)------------------------------
% 4.62/1.62 % (4020167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.62/1.62 % (4020167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/1.62 % (4020167)CaDiCaL version: 2.1.3
% 4.62/1.62 % (4020167)Termination reason: Refutation
% 4.62/1.62 % (4020167)Time elapsed: 0.019 s
% 4.62/1.62 % (4020167)Peak memory usage: 89 MB
% 4.62/1.62 % (4020167)Instructions burned: 53 (million)
% 4.62/1.62 % (4020167)------------------------------
% 4.62/1.62 % (4020167)------------------------------
% 4.62/1.62 % (4020140)Success in time 0.563 s
% 4.62/1.62 % Vampire exiting
%------------------------------------------------------------------------------