%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI580_1 : TPTP v9.3.1. Released v5.1.0.
% 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 09:33:24 AM UTC 2026
% Result : Theorem 5.77s 1.63s
% Output : Refutation 5.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 typ; 1 def)
% Number of atoms : 21 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 5 |; 2 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number arithmetic : 94 ( 17 atm; 38 fun; 28 num; 11 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 : 4 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 8 !; 3 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
( $less(X1,$sum(X0,3))
& $less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_1) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
( $less(X1,$sum(X0,3))
& $less(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
( ~ $less(X1,$sum(X0,3))
| ~ $less(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
! [X1: $int] :
( ~ $less(X1,$sum(sK0,3))
| ~ $less(sK0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f15]) ).
tff(f17,plain,
! [X1: $int] :
( ~ $less(X1,$sum(sK0,3))
| ~ $less(sK0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
! [X1: $int] :
( $less(0,$sum($sum(X1,1),$uminus($sum(sK0,3))))
| $less(0,$sum($sum(sK0,1),$uminus(X1))) ),
inference(evaluation,[],[f17]) ).
tff(f19,plain,
! [X0: $int] :
( $less(0,$sum($sum(sK0,1),$uminus(X0)))
| ( $sum($sum(X0,1),$uminus($sum(sK0,3))) != 0 ) ),
inference(constrained_resolution,[],[f8,f18]) ).
tff(f20,plain,
$less(0,$sum($sum(sK0,1),$uminus($sum($sum(0,$uminus($uminus($sum(sK0,3)))),$uminus(1))))),
inference(gaussian_variable_elimination,[],[f19]) ).
tff(f21,plain,
$less(0,$sum($sum(sK0,1),$uminus($sum($sum(sK0,3),-1)))),
inference(evaluation,[],[f20]) ).
tff(f23,definition,
( spl1_1
<=> $less(0,$sum($sum(sK0,1),$uminus($sum($sum(sK0,3),-1)))) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f26,plain,
spl1_1,
inference(avatar_split_clause,[],[f21,f23]) ).
tff(f27,plain,
$false,
inference(avatar_smt_refutation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI580_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n013.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 20:52:06 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running first-order theorem proving
% 0.11/0.22 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
% 5.77/1.63 % (1562355)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.77/1.63 % (1562497)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3411180706:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.77/1.63 % (1562496)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=995112712:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.77/1.63 % (1562496)Instruction limit reached!
% 5.77/1.63 % (1562496)------------------------------
% 5.77/1.63 % (1562496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.63 % (1562496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.63 % (1562496)CaDiCaL version: 2.1.3
% 5.77/1.63 % (1562496)Termination reason: Instruction limit
% 5.77/1.63 % (1562496)Termination phase: Saturation
% 5.77/1.63 % (1562496)Time elapsed: 0.004 s
% 5.77/1.63 % (1562496)Peak memory usage: 88 MB
% 5.77/1.63 % (1562496)Instructions burned: 4 (million)
% 5.77/1.63 % (1562497)Refutation not found, incomplete strategy
% 5.77/1.63 % (1562497)------------------------------
% 5.77/1.63 % (1562497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.63 % (1562497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.63 % (1562497)CaDiCaL version: 2.1.3
% 5.77/1.63 % (1562497)Termination reason: Refutation not found, incomplete strategy
% 5.77/1.63 % (1562497)Time elapsed: 0.022 s
% 5.77/1.63 % (1562497)Peak memory usage: 112 MB
% 5.77/1.63 % (1562497)Instructions burned: 5 (million)
% 5.77/1.63 % (1562493)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=696126382:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.77/1.63 % (1562493)Refutation not found, incomplete strategy
% 5.77/1.63 % (1562493)------------------------------
% 5.77/1.63 % (1562493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.63 % (1562493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.63 % (1562493)CaDiCaL version: 2.1.3
% 5.77/1.63 % (1562493)Termination reason: Refutation not found, incomplete strategy
% 5.77/1.63 % (1562493)Time elapsed: 0.041 s
% 5.77/1.63 % (1562493)Peak memory usage: 115 MB
% 5.77/1.63 % (1562493)Instructions burned: 6 (million)
% 5.77/1.63 % (1562494)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2775266489:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.77/1.63 % (1562495)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3480788567:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.77/1.63 % (1562492)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3858360002:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.77/1.63 % (1562495)Instruction limit reached!
% 5.77/1.63 % (1562495)------------------------------
% 5.77/1.63 % (1562495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.63 % (1562495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.63 % (1562495)CaDiCaL version: 2.1.3
% 5.77/1.63 % (1562495)Termination reason: Instruction limit
% 5.77/1.63 % (1562495)Termination phase: Saturation
% 5.77/1.63 % (1562495)Time elapsed: 0.010 s
% 5.77/1.63 % (1562495)Peak memory usage: 88 MB
% 5.77/1.63 % (1562495)Instructions burned: 7 (million)
% 5.77/1.63 % (1562498)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2605526390:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.77/1.63 % (1562492)First to succeed.
% 5.77/1.63 % (1562492)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1562355"
% 5.77/1.63 % (1562498)Also succeeded, but the first one will report.
% 5.77/1.63 % (1562494)Also succeeded, but the first one will report.
% 5.77/1.63 % (1562497)------------------------------
% 5.77/1.63 % (1562497)------------------------------
% 5.77/1.63 % (1562514)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1180304745:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.77/1.63 % (1562514)Refutation not found, incomplete strategy
% 5.77/1.63 % (1562514)------------------------------
% 5.77/1.63 % (1562514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.63 % (1562514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.63 % (1562514)CaDiCaL version: 2.1.3
% 5.77/1.63 % (1562514)Termination reason: Refutation not found, incomplete strategy
% 5.77/1.63 % (1562514)Time elapsed: 0.001 s
% 5.77/1.63 % (1562514)Peak memory usage: 88 MB
% 5.77/1.63 % (1562522)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=3285598095:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.77/1.63 % (1562522)Instruction limit reached!
% 5.77/1.63 % (1562522)------------------------------
% 5.77/1.63 % (1562522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.63 % (1562522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.63 % (1562522)CaDiCaL version: 2.1.3
% 5.77/1.63 % (1562522)Termination reason: Instruction limit
% 5.77/1.63 % (1562522)Termination phase: Saturation
% 5.77/1.63 % (1562522)Time elapsed: 0.019 s
% 5.77/1.63 % (1562522)Peak memory usage: 88 MB
% 5.77/1.63 % (1562522)Instructions burned: 31 (million)
% 5.77/1.63 % (1562493)------------------------------
% 5.77/1.63 % (1562493)------------------------------
% 5.77/1.63 % (1562514)------------------------------
% 5.77/1.63 % (1562514)------------------------------
% 5.77/1.63 % (1562524)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2015894947:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/16Mi)
% 5.77/1.63 % (1562492)Refutation found. Thanks to Tanya!
% 5.77/1.63 % SZS status Theorem for theBenchmark
% 5.77/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 5.77/1.63 % (1562492)------------------------------
% 5.77/1.63 % (1562492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.63 % (1562492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.63 % (1562492)CaDiCaL version: 2.1.3
% 5.77/1.63 % (1562492)Termination reason: Refutation
% 5.77/1.63 % (1562492)Time elapsed: 0.043 s
% 5.77/1.63 % (1562492)Peak memory usage: 115 MB
% 5.77/1.63 % (1562492)Instructions burned: 8 (million)
% 5.77/1.63 % (1562492)------------------------------
% 5.77/1.63 % (1562492)------------------------------
% 5.77/1.63 % (1562355)Success in time 0.722 s
% 5.77/1.63 % Vampire exiting
%------------------------------------------------------------------------------