%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI648_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 09:33:34 AM UTC 2026
% Result : Theorem 3.91s 1.36s
% Output : Refutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 6 unt; 0 typ; 4 def)
% Number of atoms : 34 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 5 ~; 10 |; 2 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 138 ( 21 atm; 56 fun; 61 num; 0 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 16 ( 2 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
b: $int ).
tff(func_def_1,type,
a: $int ).
tff(f1,axiom,
( $less(0,$product(2,a))
| $greater(8,$difference($product(2,a),$product(4,b))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
tff(f2,conjecture,
( $lesseq(1,a)
| ( $sum($product(20,a),$product(-1,$product(30,b))) = 7 )
| $greatereq(3,$sum(a,$product(-1,$product(2,b)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_001) ).
tff(f3,negated_conjecture,
~ ( $lesseq(1,a)
| ( $sum($product(20,a),$product(-1,$product(30,b))) = 7 )
| $greatereq(3,$sum(a,$product(-1,$product(2,b)))) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,plain,
~ ( ( $sum($product(20,a),$product(-1,$product(30,b))) = 7 )
| ~ $less(3,$sum(a,$product(-1,$product(2,b))))
| ~ $less(a,1) ),
inference(theory_normalization,[],[f3]) ).
tff(f5,plain,
( $less($sum($product(2,a),$uminus($product(4,b))),8)
| $less(0,$product(2,a)) ),
inference(theory_normalization,[],[f1]) ).
tff(f6,plain,
( ( $sum($product(20,a),$product(-1,$product(30,b))) != 7 )
& $less(3,$sum(a,$product(-1,$product(2,b))))
& $less(a,1) ),
inference(ennf_transformation,[],[f4]) ).
tff(f7,plain,
( $less(0,$product(2,a))
| $less($sum($product(2,a),$uminus($product(4,b))),8) ),
inference(cnf_transformation,[],[f5]) ).
tff(f8,plain,
$less(a,1),
inference(cnf_transformation,[],[f6]) ).
tff(f9,plain,
$less(3,$sum(a,$product(-1,$product(2,b)))),
inference(cnf_transformation,[],[f6]) ).
tff(f11,plain,
$less(3,$sum(a,$uminus($product(2,b)))),
inference(evaluation,[],[f9]) ).
tff(f14,definition,
( spl0_1
<=> $less(3,$sum(a,$uminus($product(2,b)))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f17,plain,
spl0_1,
inference(avatar_split_clause,[],[f11,f14]) ).
tff(f24,definition,
( spl0_3
<=> $less(0,$product(2,a)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f28,definition,
( spl0_4
<=> $less($sum($product(2,a),$uminus($product(4,b))),8) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f31,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f7,f28,f24]) ).
tff(f33,definition,
( spl0_5
<=> $less(a,1) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
tff(f36,plain,
spl0_5,
inference(avatar_split_clause,[],[f8,f33]) ).
tff(f37,plain,
$false,
inference(avatar_smt_refutation,[],[f36,f31,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI648_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n004.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 20:54:52 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 3.91/1.36 % (765975)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.91/1.36 % (766042)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3990986388:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.91/1.36 % (766042)Instruction limit reached!
% 3.91/1.36 % (766042)------------------------------
% 3.91/1.36 % (766042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.36 % (766042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.36 % (766042)CaDiCaL version: 2.1.3
% 3.91/1.36 % (766042)Termination reason: Instruction limit
% 3.91/1.36 % (766042)Termination phase: Saturation
% 3.91/1.36 % (766042)Time elapsed: 0.003 s
% 3.91/1.36 % (766042)Peak memory usage: 89 MB
% 3.91/1.36 % (766042)Instructions burned: 7 (million)
% 3.91/1.36 % (766039)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1538119618:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.91/1.36 % (766044)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2551529224:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.91/1.36 % (766040)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4118226635:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.91/1.36 % (766038)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3493435379:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.91/1.36 % (766043)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2046009323:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.91/1.36 % (766041)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2345142310:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.91/1.36 % (766041)Instruction limit reached!
% 3.91/1.36 % (766041)------------------------------
% 3.91/1.36 % (766041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.36 % (766041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.36 % (766041)CaDiCaL version: 2.1.3
% 3.91/1.36 % (766041)Termination reason: Instruction limit
% 3.91/1.36 % (766041)Termination phase: Saturation
% 3.91/1.36 % (766041)Time elapsed: 0.005 s
% 3.91/1.36 % (766041)Peak memory usage: 88 MB
% 3.91/1.36 % (766041)Instructions burned: 8 (million)
% 3.91/1.36 % (766043)First to succeed.
% 3.91/1.36 % (766038)Instruction limit reached!
% 3.91/1.36 % (766038)------------------------------
% 3.91/1.36 % (766038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.36 % (766038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.36 % (766038)CaDiCaL version: 2.1.3
% 3.91/1.36 % (766038)Termination reason: Instruction limit
% 3.91/1.36 % (766038)Termination phase: Saturation
% 3.91/1.36 % (766038)Time elapsed: 0.032 s
% 3.91/1.36 % (766038)Peak memory usage: 115 MB
% 3.91/1.36 % (766038)Instructions burned: 13 (million)
% 3.91/1.36 % (766043)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-765975"
% 3.91/1.36 % (766039)Also succeeded, but the first one will report.
% 3.91/1.36 % (766044)Also succeeded, but the first one will report.
% 3.91/1.36 % (766046)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2466383970:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.91/1.36 % (766046)Refutation not found, incomplete strategy
% 3.91/1.36 % (766046)------------------------------
% 3.91/1.36 % (766046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.36 % (766046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.36 % (766046)CaDiCaL version: 2.1.3
% 3.91/1.36 % (766046)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.36 % (766046)Time elapsed: 0.001 s
% 3.91/1.36 % (766046)Peak memory usage: 89 MB
% 3.91/1.36 % (766040)Instruction limit reached!
% 3.91/1.36 % (766040)------------------------------
% 3.91/1.36 % (766040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.36 % (766040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.36 % (766040)CaDiCaL version: 2.1.3
% 3.91/1.36 % (766040)Termination reason: Instruction limit
% 3.91/1.36 % (766040)Termination phase: Saturation
% 3.91/1.36 % (766040)Time elapsed: 0.172 s
% 3.91/1.36 % (766040)Peak memory usage: 117 MB
% 3.91/1.36 % (766040)Instructions burned: 201 (million)
% 3.91/1.36 % (766053)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=3005978396:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.91/1.36 % (766053)Instruction limit reached!
% 3.91/1.36 % (766053)------------------------------
% 3.91/1.36 % (766053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.36 % (766053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.36 % (766053)CaDiCaL version: 2.1.3
% 3.91/1.36 % (766053)Termination reason: Instruction limit
% 3.91/1.36 % (766053)Termination phase: Saturation
% 3.91/1.36 % (766053)Time elapsed: 0.021 s
% 3.91/1.36 % (766053)Peak memory usage: 88 MB
% 3.91/1.36 % (766053)Instructions burned: 30 (million)
% 3.91/1.36 % (766054)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=961356080:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.91/1.36 % (766054)Refutation not found, incomplete strategy
% 3.91/1.36 % (766054)------------------------------
% 3.91/1.36 % (766054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.36 % (766054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.36 % (766054)CaDiCaL version: 2.1.3
% 3.91/1.36 % (766054)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.36 % (766054)Time elapsed: 0.006 s
% 3.91/1.36 % (766054)Peak memory usage: 91 MB
% 3.91/1.36 % (766054)Instructions burned: 8 (million)
% 3.91/1.36 % (766046)------------------------------
% 3.91/1.36 % (766046)------------------------------
% 3.91/1.36 % (766043)Refutation found. Thanks to Tanya!
% 3.91/1.36 % SZS status Theorem for theBenchmark
% 3.91/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.91/1.36 % (766043)------------------------------
% 3.91/1.36 % (766043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.36 % (766043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.36 % (766043)CaDiCaL version: 2.1.3
% 3.91/1.36 % (766043)Termination reason: Refutation
% 3.91/1.36 % (766043)Time elapsed: 0.032 s
% 3.91/1.36 % (766043)Peak memory usage: 115 MB
% 3.91/1.36 % (766043)Instructions burned: 9 (million)
% 3.91/1.36 % (766043)------------------------------
% 3.91/1.36 % (766043)------------------------------
% 3.91/1.36 % (765975)Success in time 0.471 s
% 3.91/1.36 % Vampire exiting
%------------------------------------------------------------------------------