%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI649_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 : n001.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 4.52s 1.45s
% Output : Refutation 4.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 15 unt; 0 typ; 4 def)
% Number of atoms : 23 ( 11 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 : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 21 ( 3 atm; 9 fun; 9 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 : 7 ( 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,
$less(a,0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
tff(f2,axiom,
$product(a,a) = 25,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_001) ).
tff(f3,axiom,
$product($product(b,b),b) = -125,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_002) ).
tff(f4,conjecture,
a = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_003) ).
tff(f5,negated_conjecture,
( ( ~ a ) = b ),
inference(negated_conjecture,[status(cth)],[f4]) ).
tff(f6,plain,
a != b,
inference(flattening,[],[f5]) ).
tff(f7,plain,
$product(a,a) = 25,
inference(cnf_transformation,[],[f2]) ).
tff(f8,plain,
a != b,
inference(cnf_transformation,[],[f6]) ).
tff(f9,plain,
$product($product(b,b),b) = -125,
inference(cnf_transformation,[],[f3]) ).
tff(f10,plain,
$less(a,0),
inference(cnf_transformation,[],[f1]) ).
tff(f12,definition,
( spl0_1
<=> $less(a,0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f15,plain,
spl0_1,
inference(avatar_split_clause,[],[f10,f12]) ).
tff(f17,definition,
( spl0_2
<=> ( $product(a,a) = 25 ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f20,plain,
spl0_2,
inference(avatar_split_clause,[],[f7,f17]) ).
tff(f22,definition,
( spl0_3
<=> ( $product($product(b,b),b) = -125 ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f25,plain,
spl0_3,
inference(avatar_split_clause,[],[f9,f22]) ).
tff(f27,definition,
( spl0_4
<=> ( a = b ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f30,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f8,f27]) ).
tff(f31,plain,
$false,
inference(avatar_smt_refutation,[],[f30,f25,f20,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI649_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n001.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 21:00:49 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 4.52/1.44 % (739328)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.52/1.44 % (739404)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3629296379:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.52/1.44 % (739404)Refutation not found, incomplete strategy
% 4.52/1.44 % (739404)------------------------------
% 4.52/1.44 % (739404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.44 % (739404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.44 % (739404)CaDiCaL version: 2.1.3
% 4.52/1.44 % (739404)Termination reason: Refutation not found, incomplete strategy
% 4.52/1.44 % (739404)Time elapsed: 0.020 s
% 4.52/1.44 % (739404)Peak memory usage: 116 MB
% 4.52/1.44 % (739404)Instructions burned: 11 (million)
% 4.52/1.44 % (739411)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3808631680:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.52/1.44 % (739406)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=745141121:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.52/1.44 % (739405)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2844051796:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.52/1.44 % (739412)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2091087482:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.52/1.44 % (739409)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2492027952:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.52/1.44 % (739409)Instruction limit reached!
% 4.52/1.44 % (739409)------------------------------
% 4.52/1.44 % (739409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.44 % (739409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.44 % (739409)CaDiCaL version: 2.1.3
% 4.52/1.44 % (739409)Termination reason: Instruction limit
% 4.52/1.44 % (739409)Termination phase: Saturation
% 4.52/1.44 % (739409)Time elapsed: 0.004 s
% 4.52/1.44 % (739409)Peak memory usage: 88 MB
% 4.52/1.44 % (739409)Instructions burned: 5 (million)
% 4.52/1.44 % (739408)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3224643357:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.52/1.44 % (739408)Instruction limit reached!
% 4.52/1.44 % (739408)------------------------------
% 4.52/1.44 % (739408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.44 % (739408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.44 % (739408)CaDiCaL version: 2.1.3
% 4.52/1.44 % (739408)Termination reason: Instruction limit
% 4.52/1.44 % (739408)Termination phase: Saturation
% 4.52/1.44 % (739408)Time elapsed: 0.006 s
% 4.52/1.44 % (739408)Peak memory usage: 88 MB
% 4.52/1.44 % (739408)Instructions burned: 8 (million)
% 4.52/1.44 % (739411)First to succeed.
% 4.52/1.44 % (739411)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-739328"
% 4.52/1.44 % (739412)Also succeeded, but the first one will report.
% 4.52/1.44 % (739405)Also succeeded, but the first one will report.
% 4.52/1.44 % (739404)------------------------------
% 4.52/1.44 % (739404)------------------------------
% 4.52/1.44 % (739406)Instruction limit reached!
% 4.52/1.44 % (739406)------------------------------
% 4.52/1.44 % (739406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.44 % (739406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.44 % (739406)CaDiCaL version: 2.1.3
% 4.52/1.44 % (739406)Termination reason: Instruction limit
% 4.52/1.44 % (739406)Termination phase: Saturation
% 4.52/1.44 % (739406)Time elapsed: 0.214 s
% 4.52/1.44 % (739406)Peak memory usage: 117 MB
% 4.52/1.44 % (739406)Instructions burned: 201 (million)
% 4.52/1.44 % (739451)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=198957522:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.52/1.44 % (739451)Refutation not found, incomplete strategy
% 4.52/1.44 % (739451)------------------------------
% 4.52/1.44 % (739451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.44 % (739451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.44 % (739451)CaDiCaL version: 2.1.3
% 4.52/1.44 % (739451)Termination reason: Refutation not found, incomplete strategy
% 4.52/1.45 % (739451)Time elapsed: 0.002 s
% 4.52/1.45 % (739451)Peak memory usage: 88 MB
% 4.52/1.45 % (739457)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=3288296068:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.52/1.45 % (739457)Instruction limit reached!
% 4.52/1.45 % (739457)------------------------------
% 4.52/1.45 % (739457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.45 % (739457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.45 % (739457)CaDiCaL version: 2.1.3
% 4.52/1.45 % (739457)Termination reason: Instruction limit
% 4.52/1.45 % (739457)Termination phase: Saturation
% 4.52/1.45 % (739457)Time elapsed: 0.029 s
% 4.52/1.45 % (739457)Peak memory usage: 88 MB
% 4.52/1.45 % (739457)Instructions burned: 29 (million)
% 4.52/1.45 % (739489)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=254357509:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 4.52/1.45 % (739489)Instruction limit reached!
% 4.52/1.45 % (739489)------------------------------
% 4.52/1.45 % (739489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.45 % (739489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.45 % (739489)CaDiCaL version: 2.1.3
% 4.52/1.45 % (739489)Termination reason: Instruction limit
% 4.52/1.45 % (739489)Termination phase: Saturation
% 4.52/1.45 % (739489)Time elapsed: 0.010 s
% 4.52/1.45 % (739489)Peak memory usage: 90 MB
% 4.52/1.45 % (739489)Instructions burned: 17 (million)
% 4.52/1.45 % (739411)Refutation found. Thanks to Tanya!
% 4.52/1.45 % SZS status Theorem for theBenchmark
% 4.52/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 4.52/1.45 % (739411)------------------------------
% 4.52/1.45 % (739411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.45 % (739411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.45 % (739411)CaDiCaL version: 2.1.3
% 4.52/1.45 % (739411)Termination reason: Refutation
% 4.52/1.45 % (739411)Time elapsed: 0.033 s
% 4.52/1.45 % (739411)Peak memory usage: 116 MB
% 4.52/1.45 % (739411)Instructions burned: 9 (million)
% 4.52/1.45 % (739411)------------------------------
% 4.52/1.45 % (739411)------------------------------
% 4.52/1.45 % (739328)Success in time 0.554 s
% 4.52/1.45 % Vampire exiting
%------------------------------------------------------------------------------