%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI663_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 : n008.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 09:33:36 AM UTC 2026
% Result : Theorem 0.18s 1.20s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 4 unt; 0 typ; 4 def)
% Number of atoms : 30 ( 9 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 23 ( 7 ~; 6 |; 6 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 36 ( 12 atm; 3 fun; 21 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 : 9 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(func_def_1,type,
b: $int ).
tff(f1,axiom,
$product(a,b) = 15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
tff(f2,conjecture,
( ( a != 0 )
& $greatereq(a,-15)
& $lesseq(a,15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_001) ).
tff(f3,negated_conjecture,
~ ( ( a != 0 )
& $greatereq(a,-15)
& $lesseq(a,15) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,plain,
~ ( ( a != 0 )
& ~ $less(15,a)
& ~ $less(a,-15) ),
inference(theory_normalization,[],[f3]) ).
tff(f23,plain,
( ( a = 0 )
| $less(a,-15)
| $less(15,a) ),
inference(ennf_transformation,[],[f4]) ).
tff(f24,plain,
$product(a,b) = 15,
inference(cnf_transformation,[],[f1]) ).
tff(f25,plain,
( $less(15,a)
| ( a = 0 )
| $less(a,-15) ),
inference(cnf_transformation,[],[f23]) ).
tff(f28,definition,
( spl0_1
<=> ( $product(a,b) = 15 ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f31,plain,
spl0_1,
inference(avatar_split_clause,[],[f24,f28]) ).
tff(f33,definition,
( spl0_2
<=> $less(15,a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f37,definition,
( spl0_3
<=> $less(a,-15) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f41,definition,
( spl0_4
<=> ( a = 0 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f44,plain,
( spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f25,f41,f37,f33]) ).
tff(f45,plain,
$false,
inference(avatar_smt_refutation,[],[f44,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI663_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n008.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 20:56:09 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 0.18/1.20 % (2638872)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.18/1.20 % (2638883)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=828691854:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.18/1.20 % (2638883)First to succeed.
% 0.18/1.20 % (2638883)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2638872"
% 0.18/1.20 % (2638879)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1232104235:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.18/1.20 % (2638881)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1454234087:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.18/1.20 % (2638880)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1513583755:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.18/1.20 % (2638877)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=431182871:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.18/1.20 % (2638882)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3440161665:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.18/1.20 % (2638878)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=835497118:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.18/1.20 % (2638881)Instruction limit reached!
% 0.18/1.20 % (2638881)------------------------------
% 0.18/1.20 % (2638881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (2638881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (2638881)CaDiCaL version: 2.1.3
% 0.18/1.20 % (2638881)Termination reason: Instruction limit
% 0.18/1.20 % (2638881)Termination phase: Saturation
% 0.18/1.20 % (2638881)Time elapsed: 0.004 s
% 0.18/1.20 % (2638881)Peak memory usage: 88 MB
% 0.18/1.20 % (2638881)Instructions burned: 5 (million)
% 0.18/1.20 % (2638880)Instruction limit reached!
% 0.18/1.20 % (2638880)------------------------------
% 0.18/1.20 % (2638880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (2638880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (2638880)CaDiCaL version: 2.1.3
% 0.18/1.20 % (2638880)Termination reason: Instruction limit
% 0.18/1.20 % (2638880)Termination phase: Saturation
% 0.18/1.20 % (2638880)Time elapsed: 0.005 s
% 0.18/1.20 % (2638880)Peak memory usage: 88 MB
% 0.18/1.20 % (2638880)Instructions burned: 7 (million)
% 0.18/1.20 % (2638877)Instruction limit reached!
% 0.18/1.20 % (2638877)------------------------------
% 0.18/1.20 % (2638877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (2638877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (2638877)CaDiCaL version: 2.1.3
% 0.18/1.20 % (2638877)Termination reason: Instruction limit
% 0.18/1.20 % (2638877)Termination phase: Saturation
% 0.18/1.20 % (2638877)Time elapsed: 0.031 s
% 0.18/1.20 % (2638877)Peak memory usage: 115 MB
% 0.18/1.20 % (2638877)Instructions burned: 13 (million)
% 0.18/1.20 % (2638878)Also succeeded, but the first one will report.
% 0.18/1.20 % (2638882)Also succeeded, but the first one will report.
% 0.18/1.20 % (2638879)Instruction limit reached!
% 0.18/1.20 % (2638879)------------------------------
% 0.18/1.20 % (2638879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (2638879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (2638879)CaDiCaL version: 2.1.3
% 0.18/1.20 % (2638879)Termination reason: Instruction limit
% 0.18/1.20 % (2638879)Termination phase: Saturation
% 0.18/1.20 % (2638879)Time elapsed: 0.173 s
% 0.18/1.20 % (2638879)Peak memory usage: 117 MB
% 0.18/1.20 % (2638879)Instructions burned: 202 (million)
% 0.18/1.20 % (2638883)Refutation found. Thanks to Tanya!
% 0.18/1.20 % SZS status Theorem for theBenchmark
% 0.18/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.20 % (2638883)------------------------------
% 0.18/1.20 % (2638883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (2638883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (2638883)CaDiCaL version: 2.1.3
% 0.18/1.20 % (2638883)Termination reason: Refutation
% 0.18/1.20 % (2638883)Time elapsed: 0.022 s
% 0.18/1.20 % (2638883)Peak memory usage: 117 MB
% 0.18/1.20 % (2638883)Instructions burned: 11 (million)
% 0.18/1.20 % (2638883)------------------------------
% 0.18/1.20 % (2638883)------------------------------
% 0.18/1.20 % (2638872)Success in time 0.348 s
% 0.18/1.20 % Vampire exiting
%------------------------------------------------------------------------------