%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI699_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:33:41 AM UTC 2026
% Result : Unsatisfiable 5.38s 1.54s
% Output : Refutation 5.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 17 unt; 0 typ; 4 def)
% Number of atoms : 25 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 63 ( 13 atm; 31 fun; 19 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 : 9 ( 3 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
z: $int ).
tff(func_def_1,type,
x: $int ).
tff(func_def_2,type,
y: $int ).
tff(f1,axiom,
$greater(x,0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ineq1) ).
tff(f2,axiom,
$greater(y,0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ineq2) ).
tff(f3,axiom,
$lesseq(0,$sum($product($product(z,z),x),$product(-1,$product(y,x)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ineq3) ).
tff(f4,axiom,
$product($product(2,z),z) = y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq) ).
tff(f5,plain,
$less(0,x),
inference(theory_normalization,[],[f1]) ).
tff(f6,plain,
$less(0,y),
inference(theory_normalization,[],[f2]) ).
tff(f7,plain,
~ $less($sum($product($product(z,z),x),$product(-1,$product(y,x))),0),
inference(theory_normalization,[],[f3]) ).
tff(f8,plain,
$less(0,x),
inference(cnf_transformation,[],[f5]) ).
tff(f9,plain,
~ $less($sum($product($product(z,z),x),$product(-1,$product(y,x))),0),
inference(cnf_transformation,[],[f7]) ).
tff(f10,plain,
y = $product($product(2,z),z),
inference(cnf_transformation,[],[f4]) ).
tff(f11,plain,
$less(0,y),
inference(cnf_transformation,[],[f6]) ).
tff(f12,plain,
~ $less($sum($product($product(z,z),x),$uminus($product(y,x))),0),
inference(evaluation,[],[f9]) ).
tff(f14,definition,
( spl0_1
<=> $less(0,y) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f17,plain,
spl0_1,
inference(avatar_split_clause,[],[f11,f14]) ).
tff(f19,definition,
( spl0_2
<=> ( y = $product($product(2,z),z) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f22,plain,
spl0_2,
inference(avatar_split_clause,[],[f10,f19]) ).
tff(f24,definition,
( spl0_3
<=> $less($sum($product($product(z,z),x),$uminus($product(y,x))),0) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f27,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f12,f24]) ).
tff(f29,definition,
( spl0_4
<=> $less(0,x) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f32,plain,
spl0_4,
inference(avatar_split_clause,[],[f8,f29]) ).
tff(f33,plain,
$false,
inference(avatar_smt_refutation,[],[f32,f27,f22,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI699_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 % Computer : n011.cluster.edu
% 0.09/0.25 % Model : x86_64 x86_64
% 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.25 % Memory : 8046.5625MB
% 0.09/0.25 % OS : Linux 6.8.0-71-generic
% 0.09/0.25 % CPULimit : 300
% 0.09/0.25 % WCLimit : 300
% 0.09/0.25 % DateTime : Mon Sep 28 20:57:46 UTC 2026
% 0.09/0.25 % CPUTime :
% 0.09/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running first-order theorem proving
% 0.25/0.31 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
% 5.38/1.54 % (3779577)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.38/1.54 % (3779592)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2571228369:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 5.38/1.54 % (3779592)Instruction limit reached!
% 5.38/1.54 % (3779592)------------------------------
% 5.38/1.54 % (3779592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.54 % (3779592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.54 % (3779592)CaDiCaL version: 2.1.3
% 5.38/1.54 % (3779592)Termination reason: Instruction limit
% 5.38/1.54 % (3779592)Termination phase: Saturation
% 5.38/1.54 % (3779592)Time elapsed: 0.004 s
% 5.38/1.54 % (3779592)Peak memory usage: 88 MB
% 5.38/1.54 % (3779592)Instructions burned: 8 (million)
% 5.38/1.54 % (3779590)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1259401744:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 5.38/1.54 % (3779593)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2233199343:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 5.38/1.54 % (3779594)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=297295744:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 5.38/1.54 % (3779595)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2805170933:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 5.38/1.54 % (3779591)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3804752626:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 5.38/1.54 % (3779589)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2867303768:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 5.38/1.54 % (3779593)Instruction limit reached!
% 5.38/1.54 % (3779593)------------------------------
% 5.38/1.54 % (3779593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.54 % (3779593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.54 % (3779593)CaDiCaL version: 2.1.3
% 5.38/1.54 % (3779593)Termination reason: Instruction limit
% 5.38/1.54 % (3779593)Termination phase: Saturation
% 5.38/1.54 % (3779593)Time elapsed: 0.006 s
% 5.38/1.54 % (3779593)Peak memory usage: 88 MB
% 5.38/1.54 % (3779593)Instructions burned: 5 (million)
% 5.38/1.54 % (3779590)First to succeed.
% 5.38/1.54 % (3779590)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3779577"
% 5.38/1.54 % (3779589)Refutation not found, incomplete strategy
% 5.38/1.54 % (3779589)------------------------------
% 5.38/1.54 % (3779589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.54 % (3779589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.54 % (3779589)CaDiCaL version: 2.1.3
% 5.38/1.54 % (3779589)Termination reason: Refutation not found, incomplete strategy
% 5.38/1.54 % (3779589)Time elapsed: 0.038 s
% 5.38/1.54 % (3779589)Peak memory usage: 111 MB
% 5.38/1.54 % (3779589)Instructions burned: 5 (million)
% 5.38/1.54 % (3779594)Also succeeded, but the first one will report.
% 5.38/1.54 % (3779595)Also succeeded, but the first one will report.
% 5.38/1.54 % (3779599)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3924627803:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.38/1.54 % (3779599)Refutation not found, incomplete strategy
% 5.38/1.54 % (3779599)------------------------------
% 5.38/1.54 % (3779599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.54 % (3779599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.54 % (3779599)CaDiCaL version: 2.1.3
% 5.38/1.54 % (3779599)Termination reason: Refutation not found, incomplete strategy
% 5.38/1.54 % (3779599)Time elapsed: 0.001 s
% 5.38/1.54 % (3779599)Peak memory usage: 88 MB
% 5.38/1.54 % (3779606)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=1213686099:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.38/1.54 % (3779591)Instruction limit reached!
% 5.38/1.54 % (3779591)------------------------------
% 5.38/1.54 % (3779591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.54 % (3779591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.54 % (3779591)CaDiCaL version: 2.1.3
% 5.38/1.54 % (3779591)Termination reason: Instruction limit
% 5.38/1.54 % (3779591)Termination phase: Saturation
% 5.38/1.54 % (3779591)Time elapsed: 0.264 s
% 5.38/1.54 % (3779591)Peak memory usage: 117 MB
% 5.38/1.54 % (3779591)Instructions burned: 201 (million)
% 5.38/1.54 % (3779606)Instruction limit reached!
% 5.38/1.54 % (3779606)------------------------------
% 5.38/1.54 % (3779606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.54 % (3779606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.54 % (3779606)CaDiCaL version: 2.1.3
% 5.38/1.54 % (3779606)Termination reason: Instruction limit
% 5.38/1.54 % (3779606)Termination phase: Saturation
% 5.38/1.54 % (3779606)Time elapsed: 0.028 s
% 5.38/1.54 % (3779606)Peak memory usage: 88 MB
% 5.38/1.54 % (3779606)Instructions burned: 29 (million)
% 5.38/1.54 % (3779599)------------------------------
% 5.38/1.54 % (3779599)------------------------------
% 5.38/1.54 % (3779589)------------------------------
% 5.38/1.54 % (3779589)------------------------------
% 5.38/1.54 % (3779590)Refutation found. Thanks to Tanya!
% 5.38/1.54 % SZS status Unsatisfiable for theBenchmark
% 5.38/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 5.38/1.54 % (3779590)------------------------------
% 5.38/1.54 % (3779590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.54 % (3779590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.54 % (3779590)CaDiCaL version: 2.1.3
% 5.38/1.54 % (3779590)Termination reason: Refutation
% 5.38/1.54 % (3779590)Time elapsed: 0.047 s
% 5.38/1.54 % (3779590)Peak memory usage: 116 MB
% 5.38/1.54 % (3779590)Instructions burned: 9 (million)
% 5.38/1.54 % (3779590)------------------------------
% 5.38/1.54 % (3779590)------------------------------
% 5.38/1.54 % (3779577)Success in time 0.668 s
% 5.38/1.54 % Vampire exiting
%------------------------------------------------------------------------------