%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA048_1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:28:29 PM UTC 2026
% Result : Theorem 3.23s 1.48s
% Output : Refutation 4.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 69 ( 45 unt; 0 typ; 0 def)
% Number of atoms : 93 ( 68 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 4 ~; 18 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number arithmetic : 763 ( 24 atm; 373 fun; 212 num; 154 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 : 22 ( 11 usr; 9 con; 0-4 aty)
% Number of variables : 154 ( 154 !; 0 ?; 154 :)
% 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: $real ).
tff(f3,axiom,
lk(0) = 1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lk_0) ).
tff(f8,negated_conjecture,
! [X0: $real,X2: $int,X1: $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/sandbox/benchmark/theBenchmark.p',dc) ).
tff(f10,negated_conjecture,
! [X0: $real,X2: $int,X1: $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/sandbox/benchmark/theBenchmark.p',imp_n) ).
tff(f11,negated_conjecture,
! [X1: $int,X2: $int,X0: $real] : ( mysump(X0,X1,X2,0) = 0/1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mysump_0) ).
tff(f14,negated_conjecture,
! [X2: $int,X0: $real,X1: $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/sandbox/benchmark/theBenchmark.p',recexp_n) ).
tff(f18,negated_conjecture,
! [X0: $real,X2: $int,X1: $int] : ( mysumr(X0,X1,X2,0) = 0/1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mysumr_0) ).
tff(f23,plain,
! [X2: $int,X0: $real,X1: $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(f27,plain,
! [X0: $real,X2: $int,X1: $int] : ( $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $sum($to_real(X1),$uminus($product(X0,$to_real(ns(X2))))) ),
inference(theory_normalization,[],[f8]) ).
tff(f29,plain,
! [X0: $real,X2: $int,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(theory_normalization,[],[f10]) ).
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(f54,plain,
! [X0: $real,X1: $real] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f57,plain,
! [X0: $real] : ( 0/1 = $product(X0,0/1) ),
introduced(definition,[],[tha_times_zero]) ).
tff(f60,plain,
! [X2: $real,X0: $int,X1: $int] : ( 0/1 = mysump(X2,X0,X1,0) ),
inference(rectify,[],[f11]) ).
tff(f61,plain,
! [X1: $real,X2: $int,X0: $int] :
( ~ $less(X0,1)
=> ( $sum($sum($to_real(X2),$product($product(X1,recexp(X1,X2,$sum(X0,$uminus(1)))),$to_real(lk($sum(X0,$uminus(1)))))),mysumr(X1,X2,X0,$sum(X0,$uminus(2)))) = $product(imp(X1,X2,X0),$product($to_real(X2),recexp(X1,X2,X0))) ) ),
inference(rectify,[],[f23]) ).
tff(f62,plain,
! [X0: $real,X1: $int,X2: $int] : ( 0/1 = mysumr(X0,X2,X1,0) ),
inference(rectify,[],[f18]) ).
tff(f65,plain,
! [X2: $int,X0: $real,X1: $int] : ( $sum($to_real(X2),$uminus($product(X0,$to_real(ns(X1))))) = $product(dc(X0,X2,X1),$to_real($sum(X2,$uminus(ns(X1))))) ),
inference(rectify,[],[f27]) ).
tff(f66,plain,
! [X1: $int,X0: $real,X2: $int] :
( ~ $less(X1,1)
=> ( $product($to_real(X2),imp(X0,X2,X1)) = $sum($product(X0,$to_real(lk($sum(X1,$uminus(1))))),mysump(X0,X2,X1,$sum(X1,$uminus(2)))) ) ),
inference(rectify,[],[f29]) ).
tff(f68,plain,
! [X2: $int,X1: $real,X0: $int] :
( $less(X0,1)
| ( $sum($sum($to_real(X2),$product($product(X1,recexp(X1,X2,$sum(X0,$uminus(1)))),$to_real(lk($sum(X0,$uminus(1)))))),mysumr(X1,X2,X0,$sum(X0,$uminus(2)))) = $product(imp(X1,X2,X0),$product($to_real(X2),recexp(X1,X2,X0))) ) ),
inference(ennf_transformation,[],[f61]) ).
tff(f70,plain,
! [X1: $int,X0: $real,X2: $int] :
( ( $product($to_real(X2),imp(X0,X2,X1)) = $sum($product(X0,$to_real(lk($sum(X1,$uminus(1))))),mysump(X0,X2,X1,$sum(X1,$uminus(2)))) )
| $less(X1,1) ),
inference(ennf_transformation,[],[f66]) ).
tff(f80,plain,
! [X0: $int,X1: $real,X2: $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,[],[f68]) ).
tff(f81,plain,
! [X0: $int,X1: $real,X2: $int] :
( ( $product($to_real(X2),imp(X1,X2,X0)) = $sum($product(X1,$to_real(lk($sum(X0,$uminus(1))))),mysump(X1,X2,X0,$sum(X0,$uminus(2)))) )
| $less(X0,1) ),
inference(rectify,[],[f70]) ).
tff(f84,plain,
! [X0: $real,X1: $int,X2: $int] : ( 0/1 = mysump(X0,X1,X2,0) ),
inference(rectify,[],[f60]) ).
tff(f87,plain,
! [X0: $int,X1: $real,X2: $int] : ( $sum($to_real(X0),$uminus($product(X1,$to_real(ns(X2))))) = $product(dc(X1,X0,X2),$to_real($sum(X0,$uminus(ns(X2))))) ),
inference(rectify,[],[f65]) ).
tff(f91,plain,
! [X2: $int,X0: $int,X1: $real] :
( ( $sum($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))) )
| $less(X2,1) ),
inference(cnf_transformation,[],[f80]) ).
tff(f93,plain,
! [X2: $int,X0: $int,X1: $real] :
( ( $product($to_real(X2),imp(X1,X2,X0)) = $sum($product(X1,$to_real(lk($sum(X0,$uminus(1))))),mysump(X1,X2,X0,$sum(X0,$uminus(2)))) )
| $less(X0,1) ),
inference(cnf_transformation,[],[f81]) ).
tff(f100,plain,
! [X2: $int,X0: $real,X1: $int] : ( 0/1 = mysumr(X0,X2,X1,0) ),
inference(cnf_transformation,[],[f62]) ).
tff(f102,plain,
! [X2: $int,X0: $real,X1: $int] : ( 0/1 = mysump(X0,X1,X2,0) ),
inference(cnf_transformation,[],[f84]) ).
tff(f107,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(cnf_transformation,[],[f87]) ).
tff(f108,plain,
lk(0) = 1,
inference(cnf_transformation,[],[f3]) ).
tff(f113,plain,
! [X2: $int,X0: $int,X1: $real] :
( ( $sum($sum($to_real(X0),$product($product(X1,recexp(X1,X0,$sum(X2,-1))),$to_real(lk($sum(X2,-1))))),mysumr(X1,X0,X2,$sum(X2,-2))) = $product(imp(X1,X0,X2),$product($to_real(X0),recexp(X1,X0,X2))) )
| $less(X2,1) ),
inference(evaluation,[],[f91]) ).
tff(f114,plain,
! [X2: $int,X0: $int,X1: $real] :
( ( $product($to_real(X2),imp(X1,X2,X0)) = $sum($product(X1,$to_real(lk($sum(X0,-1)))),mysump(X1,X2,X0,$sum(X0,-2))) )
| $less(X0,1) ),
inference(evaluation,[],[f93]) ).
tff(f139,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f35,f41]) ).
tff(f140,plain,
! [X0: $int,X1: $real] : ( $product(dc(X1,ns(X0),X0),$to_real(0)) = $sum($to_real(ns(X0)),$uminus($product(X1,$to_real(ns(X0))))) ),
inference(superposition,[],[f107,f35]) ).
tff(f141,plain,
! [X0: $int,X1: $real] : ( 0/1 = $sum($to_real(ns(X0)),$uminus($product(X1,$to_real(ns(X0))))) ),
inference(evaluation,[],[f140]) ).
tff(f150,plain,
! [X0: $int,X1: $real] :
( $less($uminus(-1),1)
| ( $sum($product(X1,$to_real(lk(0))),mysump(X1,X0,$uminus(-1),$sum($uminus(-1),-2))) = $product($to_real(X0),imp(X1,X0,$uminus(-1))) ) ),
inference(superposition,[],[f114,f139]) ).
tff(f154,plain,
! [X0: $int,X1: $real] :
( ( $product(imp(X1,X0,$uminus(-2)),$product($to_real(X0),recexp(X1,X0,$uminus(-2)))) = $sum($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)) )
| $less($uminus(-2),1) ),
inference(superposition,[],[f113,f139]) ).
tff(f155,plain,
! [X0: $int,X1: $real] :
( ( $product($to_real(X0),imp(X1,X0,$uminus(-2))) = $sum($product(X1,$to_real(lk($sum($uminus(-2),-1)))),mysump(X1,X0,$uminus(-2),0)) )
| $less($uminus(-2),1) ),
inference(superposition,[],[f114,f139]) ).
tff(f158,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,[],[f155]) ).
tff(f162,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,[],[f150]) ).
tff(f163,plain,
! [X0: $int,X1: $real] : ( $sum($sum($to_real(X0),$product($product(X1,recexp(X1,X0,1)),$to_real(lk(1)))),mysumr(X1,X0,2,0)) = $product(imp(X1,X0,2),$product($to_real(X0),recexp(X1,X0,2))) ),
inference(evaluation,[],[f154]) ).
tff(f169,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,[],[f158,f102]) ).
tff(f170,plain,
! [X0: $int,X1: $real] : ( $product(X1,$to_real(lk(1))) = $product($to_real(X0),imp(X1,X0,2)) ),
inference(evaluation,[],[f169]) ).
tff(f175,plain,
! [X0: $int,X1: $real] : ( $product($to_real(X0),imp(X1,X0,1)) = $sum($product(X1,$to_real(1)),mysump(X1,X0,1,-1)) ),
inference(forward_demodulation,[],[f162,f108]) ).
tff(f176,plain,
! [X0: $int,X1: $real] : ( $product($to_real(X0),imp(X1,X0,1)) = $sum(X1,mysump(X1,X0,1,-1)) ),
inference(evaluation,[],[f175]) ).
tff(f177,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)))),0/1) ),
inference(forward_demodulation,[],[f163,f100]) ).
tff(f178,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,[],[f177]) ).
tff(f393,plain,
! [X0: $int,X1: $real] : ( 0/1 = $sum($to_real(ns(X0)),$uminus($product($to_real(ns(X0)),X1))) ),
inference(superposition,[],[f141,f54]) ).
tff(f440,plain,
! [X0: $int] : ( 0/1 = $sum($to_real(ns(X0)),$uminus(0/1)) ),
inference(superposition,[],[f393,f57]) ).
tff(f443,plain,
! [X0: $int] : ( 0/1 = $to_real(ns(X0)) ),
inference(evaluation,[],[f440]) ).
tff(f448,plain,
! [X0: $int,X1: $real] : ( $product(0/1,imp(X1,ns(X0),1)) = $sum(X1,mysump(X1,ns(X0),1,-1)) ),
inference(superposition,[],[f176,f443]) ).
tff(f449,plain,
! [X0: $real,X1: $int] : ( $product(0/1,imp(X0,ns(X1),2)) = $product(X0,$to_real(lk(1))) ),
inference(superposition,[],[f170,f443]) ).
tff(f451,plain,
! [X2: $int,X0: $int,X1: $real] :
( ( $sum($product(X1,$to_real(lk($sum(X2,-1)))),mysump(X1,ns(X0),X2,$sum(X2,-2))) = $product(0/1,imp(X1,ns(X0),X2)) )
| $less(X2,1) ),
inference(superposition,[],[f114,f443]) ).
tff(f453,plain,
! [X0: $int,X1: $real] : ( 0/1 = $sum(X1,mysump(X1,ns(X0),1,-1)) ),
inference(evaluation,[],[f448]) ).
tff(f455,plain,
! [X2: $int,X0: $int,X1: $real] :
( ( 0/1 = $sum($product(X1,$to_real(lk($sum(X2,-1)))),mysump(X1,ns(X0),X2,$sum(X2,-2))) )
| $less(X2,1) ),
inference(evaluation,[],[f451]) ).
tff(f456,plain,
! [X0: $real] : ( 0/1 = $product(X0,$to_real(lk(1))) ),
inference(evaluation,[],[f449]) ).
tff(f468,plain,
! [X0: $int,X1: $real] : ( $sum($to_real(X0),0/1) = $product(imp(X1,X0,2),$product($to_real(X0),recexp(X1,X0,2))) ),
inference(superposition,[],[f178,f456]) ).
tff(f476,plain,
! [X0: $int,X1: $real] : ( $product(imp(X1,X0,2),$product($to_real(X0),recexp(X1,X0,2))) = $to_real(X0) ),
inference(evaluation,[],[f468]) ).
tff(f659,plain,
! [X2: $int,X0: $int,X1: $real] :
( ( 0/1 = $sum($product($to_real(lk($sum(X0,-1))),X1),mysump(X1,ns(X2),X0,$sum(X0,-2))) )
| $less(X0,1) ),
inference(superposition,[],[f455,f54]) ).
tff(f734,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( 0/1 = $sum($product(X0,$to_real(lk(1))),mysump(imp(X0,lk($sum(X1,-1)),2),ns(X2),X1,$sum(X1,-2))) )
| $less(X1,1) ),
inference(superposition,[],[f659,f170]) ).
tff(f759,plain,
! [X2: $int,X0: $real,X1: $int] :
( $less(X1,1)
| ( 0/1 = $sum(0/1,mysump(imp(X0,lk($sum(X1,-1)),2),ns(X2),X1,$sum(X1,-2))) ) ),
inference(forward_demodulation,[],[f734,f456]) ).
tff(f760,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( 0/1 = mysump(imp(X0,lk($sum(X1,-1)),2),ns(X2),X1,$sum(X1,-2)) )
| $less(X1,1) ),
inference(evaluation,[],[f759]) ).
tff(f779,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,[],[f760,f139]) ).
tff(f787,plain,
! [X0: $real,X1: $int] : ( 0/1 = mysump(imp(X0,lk(0),2),ns(X1),1,-1) ),
inference(evaluation,[],[f779]) ).
tff(f797,plain,
! [X0: $real,X1: $int] : ( 0/1 = mysump(imp(X0,1,2),ns(X1),1,-1) ),
inference(forward_demodulation,[],[f787,f108]) ).
tff(f806,plain,
! [X0: $real] : ( 0/1 = $sum(imp(X0,1,2),0/1) ),
inference(superposition,[],[f453,f797]) ).
tff(f808,plain,
! [X0: $real] : ( 0/1 = imp(X0,1,2) ),
inference(evaluation,[],[f806]) ).
tff(f813,plain,
! [X0: $real] : ( $to_real(1) = $product(0/1,$product($to_real(1),recexp(X0,1,2))) ),
inference(superposition,[],[f476,f808]) ).
tff(f816,plain,
$false,
inference(evaluation,[],[f813]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA048_1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n018.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 22:17:24 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.23/1.48 % (2788854)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.23/1.48 % (2788861)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1414627201:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.23/1.48 % (2788859)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4064343211:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.23/1.48 % (2788862)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2692166727:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.23/1.48 % (2788865)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=162533811:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.23/1.48 % (2788860)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3226433537:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.23/1.48 % (2788863)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3624704066:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.23/1.48 % (2788864)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2653632031:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.23/1.48 % (2788863)Instruction limit reached!
% 3.23/1.48 % (2788863)------------------------------
% 3.23/1.48 % (2788863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788863)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788863)Termination reason: Instruction limit
% 3.23/1.48 % (2788863)Termination phase: Saturation
% 3.23/1.48 % (2788863)Time elapsed: 0.003 s
% 3.23/1.48 % (2788863)Peak memory usage: 88 MB
% 3.23/1.48 % (2788863)Instructions burned: 4 (million)
% 3.23/1.48 % (2788862)Instruction limit reached!
% 3.23/1.48 % (2788862)------------------------------
% 3.23/1.48 % (2788862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788862)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788862)Termination reason: Instruction limit
% 3.23/1.48 % (2788862)Termination phase: Saturation
% 3.23/1.48 % (2788862)Time elapsed: 0.006 s
% 3.23/1.48 % (2788862)Peak memory usage: 88 MB
% 3.23/1.48 % (2788862)Instructions burned: 7 (million)
% 3.23/1.48 % (2788861)Instruction limit reached!
% 3.23/1.48 % (2788861)------------------------------
% 3.23/1.48 % (2788861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788861)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788861)Termination reason: Instruction limit
% 3.23/1.48 % (2788861)Termination phase: Saturation
% 3.23/1.48 % (2788861)Time elapsed: 0.062 s
% 3.23/1.48 % (2788861)Peak memory usage: 113 MB
% 3.23/1.48 % (2788861)Instructions burned: 210 (million)
% 3.23/1.48 % (2788859)Instruction limit reached!
% 3.23/1.48 % (2788859)------------------------------
% 3.23/1.48 % (2788859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788859)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788859)Termination reason: Instruction limit
% 3.23/1.48 % (2788859)Termination phase: Saturation
% 3.23/1.48 % (2788859)Time elapsed: 0.030 s
% 3.23/1.48 % (2788859)Peak memory usage: 115 MB
% 3.23/1.48 % (2788859)Instructions burned: 12 (million)
% 3.23/1.48 % (2788860)Refutation not found, incomplete strategy
% 3.23/1.48 % (2788860)------------------------------
% 3.23/1.48 % (2788860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788860)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788860)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.48 % (2788860)Time elapsed: 0.038 s
% 3.23/1.48 % (2788860)Peak memory usage: 115 MB
% 3.23/1.48 % (2788860)Instructions burned: 17 (million)
% 3.23/1.48 % (2788864)Refutation not found, incomplete strategy
% 3.23/1.48 % (2788864)------------------------------
% 3.23/1.48 % (2788864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788864)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788864)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.48 % (2788864)Time elapsed: 0.039 s
% 3.23/1.48 % (2788864)Peak memory usage: 116 MB
% 3.23/1.48 % (2788864)Instructions burned: 12 (million)
% 3.23/1.48 % (2788865)Instruction limit reached!
% 3.23/1.48 % (2788865)------------------------------
% 3.23/1.48 % (2788865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788865)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788865)Termination reason: Instruction limit
% 3.23/1.48 % (2788865)Termination phase: Saturation
% 3.23/1.48 % (2788865)Time elapsed: 0.048 s
% 3.23/1.48 % (2788865)Peak memory usage: 116 MB
% 3.23/1.48 % (2788865)Instructions burned: 34 (million)
% 3.23/1.48 % (2788875)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2094270642:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.23/1.48 % (2788875)Instruction limit reached!
% 3.23/1.48 % (2788875)------------------------------
% 3.23/1.48 % (2788875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788875)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788875)Termination reason: Instruction limit
% 3.23/1.48 % (2788875)Termination phase: Saturation
% 3.23/1.48 % (2788875)Time elapsed: 0.006 s
% 3.23/1.48 % (2788875)Peak memory usage: 90 MB
% 3.23/1.48 % (2788875)Instructions burned: 18 (million)
% 3.23/1.48 % (2788873)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3224983124:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.23/1.48 % (2788873)Refutation not found, incomplete strategy
% 3.23/1.48 % (2788873)------------------------------
% 3.23/1.48 % (2788873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788873)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788873)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.48 % (2788873)Time elapsed: 0.003 s
% 3.23/1.48 % (2788873)Peak memory usage: 89 MB
% 3.23/1.48 % (2788873)Instructions burned: 3 (million)
% 3.23/1.48 % (2788874)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=461297531:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.23/1.48 % (2788874)Instruction limit reached!
% 3.23/1.48 % (2788874)------------------------------
% 3.23/1.48 % (2788874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788874)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788874)Termination reason: Instruction limit
% 3.23/1.48 % (2788874)Termination phase: Saturation
% 3.23/1.48 % (2788874)Time elapsed: 0.023 s
% 3.23/1.48 % (2788874)Peak memory usage: 89 MB
% 3.23/1.48 % (2788874)Instructions burned: 29 (million)
% 3.23/1.48 % (2788876)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3129056259:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.23/1.48 % (2788876)Instruction limit reached!
% 3.23/1.48 % (2788876)------------------------------
% 3.23/1.48 % (2788876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788876)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788876)Termination reason: Instruction limit
% 3.23/1.48 % (2788876)Termination phase: Saturation
% 3.23/1.48 % (2788876)Time elapsed: 0.019 s
% 3.23/1.48 % (2788876)Peak memory usage: 89 MB
% 3.23/1.48 % (2788876)Instructions burned: 25 (million)
% 3.23/1.48 % (2788877)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=173833803:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.23/1.48 % (2788877)Instruction limit reached!
% 3.23/1.48 % (2788877)------------------------------
% 3.23/1.48 % (2788877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788877)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788877)Termination reason: Instruction limit
% 3.23/1.48 % (2788877)Termination phase: Saturation
% 3.23/1.48 % (2788877)Time elapsed: 0.016 s
% 3.23/1.48 % (2788877)Peak memory usage: 89 MB
% 3.23/1.48 % (2788877)Instructions burned: 28 (million)
% 3.23/1.48 % (2788879)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=808872557:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 3.23/1.48 % (2788879)First to succeed.
% 3.23/1.48 % (2788879)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2788854"
% 3.23/1.48 % (2788860)------------------------------
% 3.23/1.48 % (2788860)------------------------------
% 3.23/1.48 % (2788864)------------------------------
% 3.23/1.48 % (2788864)------------------------------
% 3.23/1.48 % (2788882)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2661346358:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 3.23/1.48 % (2788882)Instruction limit reached!
% 3.23/1.48 % (2788882)------------------------------
% 3.23/1.48 % (2788882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788882)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788882)Termination reason: Instruction limit
% 3.23/1.48 % (2788882)Termination phase: Saturation
% 3.23/1.48 % (2788882)Time elapsed: 0.002 s
% 3.23/1.48 % (2788882)Peak memory usage: 88 MB
% 3.23/1.48 % (2788882)Instructions burned: 2 (million)
% 3.23/1.48 % (2788885)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1761657916:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.23/1.48 % (2788885)Refutation not found, incomplete strategy
% 3.23/1.48 % (2788885)------------------------------
% 3.23/1.48 % (2788885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788885)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788885)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.48 % (2788885)Time elapsed: 0.004 s
% 3.23/1.48 % (2788885)Peak memory usage: 89 MB
% 3.23/1.48 % (2788885)Instructions burned: 3 (million)
% 3.23/1.48 % (2788886)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2266324236:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 3.23/1.48 % (2788886)Instruction limit reached!
% 3.23/1.48 % (2788886)------------------------------
% 3.23/1.48 % (2788886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.48 % (2788886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.48 % (2788886)CaDiCaL version: 2.1.3
% 3.23/1.48 % (2788886)Termination reason: Instruction limit
% 3.23/1.48 % (2788886)Termination phase: Saturation
% 3.23/1.48 % (2788886)Time elapsed: 0.003 s
% 3.23/1.48 % (2788886)Peak memory usage: 88 MB
% 3.23/1.48 % (2788886)Instructions burned: 4 (million)
% 3.23/1.48 % (2788873)------------------------------
% 3.23/1.48 % (2788873)------------------------------
% 3.23/1.48 % (2788879)Refutation found. Thanks to Tanya!
% 3.23/1.48 % SZS status Theorem for theBenchmark
% 3.23/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 4.95/1.67 % (2788879)------------------------------
% 4.95/1.67 % (2788879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/1.67 % (2788879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/1.67 % (2788879)CaDiCaL version: 2.1.3
% 4.95/1.67 % (2788879)Termination reason: Refutation
% 4.95/1.67 % (2788879)Time elapsed: 0.017 s
% 4.95/1.67 % (2788879)Peak memory usage: 89 MB
% 4.95/1.67 % (2788879)Instructions burned: 47 (million)
% 4.95/1.67 % (2788879)------------------------------
% 4.95/1.67 % (2788879)------------------------------
% 4.95/1.67 % (2788854)Success in time 0.622 s
% 4.95/1.67 % Vampire exiting
%------------------------------------------------------------------------------