%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI626_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 09:33:31 AM UTC 2026
% Result : Theorem 2.88s 1.17s
% Output : Refutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 8 unt; 0 typ; 3 def)
% Number of atoms : 22 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 2 |; 3 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 47 ( 8 atm; 8 fun; 26 num; 5 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 : 6 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 2 !; 3 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_3,type,
sF0: $int ).
tff(f1,conjecture,
? [X0: $int] :
( $greater(X0,0)
& ( X0 = $sum(18446744073709551616,18446744073709551616) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] :
( $greater(X0,0)
& ( X0 = $sum(18446744073709551616,18446744073709551616) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $int] :
( ( X0 = $sum(18446744073709551616,18446744073709551616) )
& $less(0,X0) ),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
! [X0: $int] :
( ~ $less(0,X0)
| ( $sum(18446744073709551616,18446744073709551616) != X0 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
! [X0: $int] :
( ~ $less(0,X0)
| ( $sum(18446744073709551616,18446744073709551616) != X0 ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f6,plain,
~ $less(0,$sum(18446744073709551616,18446744073709551616)),
inference(equality_resolution,[],[f5]) ).
tff(f7,definition,
sF0 = $sum(18446744073709551616,18446744073709551616),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f8,plain,
$sum(18446744073709551616,18446744073709551616) = sF0,
inference(reorient_equations,[],[f7]) ).
tff(f9,plain,
~ $less(0,sF0),
inference(definition_folding,[],[f6,f8]) ).
tff(f10,plain,
36893488147419103232 = sF0,
inference(evaluation,[],[f8]) ).
tff(f12,definition,
( spl1_1
<=> ( 36893488147419103232 = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f15,plain,
spl1_1,
inference(avatar_split_clause,[],[f10,f12]) ).
tff(f17,definition,
( spl1_2
<=> $less(0,sF0) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f20,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f9,f17]) ).
tff(f21,plain,
$false,
inference(avatar_smt_refutation,[],[f20,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI626_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n013.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 20:53:36 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.88/1.17 % (1566438)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.88/1.17 % (1566444)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1775031614:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.88/1.17 % (1566444)First to succeed.
% 2.88/1.17 % (1566444)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1566438"
% 2.88/1.17 % (1566448)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2421207984:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.88/1.17 % (1566446)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1916040942:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.88/1.17 % (1566443)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3087901843:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.88/1.17 % (1566445)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3829924094:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.88/1.17 % (1566449)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4040044404:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.88/1.17 % (1566447)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1975268285:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.88/1.17 % (1566446)Also succeeded, but the first one will report.
% 2.88/1.17 % (1566447)Also succeeded, but the first one will report.
% 2.88/1.17 % (1566443)Also succeeded, but the first one will report.
% 2.88/1.17 % (1566448)Also succeeded, but the first one will report.
% 2.88/1.17 % (1566445)Also succeeded, but the first one will report.
% 2.88/1.17 % (1566449)Also succeeded, but the first one will report.
% 2.88/1.17 % (1566444)Refutation found. Thanks to Tanya!
% 2.88/1.17 % SZS status Theorem for theBenchmark
% 2.88/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.88/1.17 % (1566444)------------------------------
% 2.88/1.17 % (1566444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.88/1.17 % (1566444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/1.17 % (1566444)CaDiCaL version: 2.1.3
% 2.88/1.17 % (1566444)Termination reason: Refutation
% 2.88/1.17 % (1566444)Time elapsed: 0.019 s
% 2.88/1.17 % (1566444)Peak memory usage: 115 MB
% 2.88/1.17 % (1566444)Instructions burned: 7 (million)
% 2.88/1.17 % (1566444)------------------------------
% 2.88/1.17 % (1566444)------------------------------
% 2.88/1.17 % (1566438)Success in time 0.315 s
% 2.88/1.17 % Vampire exiting
%------------------------------------------------------------------------------