%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI688_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 : n009.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 09:33:39 AM UTC 2026
% Result : Theorem 3.69s 1.31s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 14 unt; 0 typ; 3 def)
% Number of atoms : 20 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 0 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of FOOLs : 2 ( 2 fml; 0 var)
% Number arithmetic : 92 ( 0 atm; 53 fun; 39 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 : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 3 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
x: $int ).
tff(func_def_1,type,
a: $int ).
tff(func_def_2,type,
b: $int ).
tff(f1,axiom,
$product(98164184,x) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1) ).
tff(f2,axiom,
$product(6472,x) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq2) ).
tff(f3,conjecture,
$sum($product(8,x),$product(-1,$difference($product(4353078,b),$product(287,a)))) = 0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f4,negated_conjecture,
( ( ~ $sum($product(8,x),$product(-1,$difference($product(4353078,b),$product(287,a)))) ) = 0 ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,plain,
( ( ~ 0 ) = $sum($product(8,x),$product(-1,$sum($product(4353078,b),$uminus($product(287,a))))) ),
inference(theory_normalization,[],[f4]) ).
tff(f6,plain,
0 != $sum($product(8,x),$product(-1,$sum($product(4353078,b),$uminus($product(287,a))))),
inference(flattening,[],[f5]) ).
tff(f7,plain,
$product(6472,x) = b,
inference(cnf_transformation,[],[f2]) ).
tff(f8,plain,
0 != $sum($product(8,x),$product(-1,$sum($product(4353078,b),$uminus($product(287,a))))),
inference(cnf_transformation,[],[f6]) ).
tff(f9,plain,
$product(98164184,x) = a,
inference(cnf_transformation,[],[f1]) ).
tff(f10,plain,
0 != $sum($product(8,x),$uminus($sum($product(4353078,b),$uminus($product(287,a))))),
inference(evaluation,[],[f8]) ).
tff(f12,definition,
( spl0_1
<=> ( $product(6472,x) = b ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f15,plain,
spl0_1,
inference(avatar_split_clause,[],[f7,f12]) ).
tff(f17,definition,
( spl0_2
<=> ( $product(98164184,x) = a ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f20,plain,
spl0_2,
inference(avatar_split_clause,[],[f9,f17]) ).
tff(f22,definition,
( spl0_3
<=> ( 0 = $sum($product(8,x),$uminus($sum($product(4353078,b),$uminus($product(287,a))))) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f25,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f10,f22]) ).
tff(f26,plain,
$false,
inference(avatar_smt_refutation,[],[f25,f20,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI688_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n009.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:57:41 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 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
% 3.69/1.31 % (3468653)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.69/1.31 % (3468693)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3021578923:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.69/1.31 % (3468687)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3919029998:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.69/1.31 % (3468693)First to succeed.
% 3.69/1.31 % (3468693)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3468653"
% 3.69/1.31 % (3468692)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2123717192:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.69/1.31 % (3468690)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=976295237:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.69/1.31 % (3468687)Refutation not found, incomplete strategy
% 3.69/1.31 % (3468687)------------------------------
% 3.69/1.31 % (3468687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.31 % (3468687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.31 % (3468687)CaDiCaL version: 2.1.3
% 3.69/1.31 % (3468687)Termination reason: Refutation not found, incomplete strategy
% 3.69/1.31 % (3468687)Time elapsed: 0.030 s
% 3.69/1.31 % (3468687)Peak memory usage: 116 MB
% 3.69/1.31 % (3468687)Instructions burned: 8 (million)
% 3.69/1.31 % (3468692)Instruction limit reached!
% 3.69/1.31 % (3468692)------------------------------
% 3.69/1.31 % (3468692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.31 % (3468692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.31 % (3468692)CaDiCaL version: 2.1.3
% 3.69/1.31 % (3468692)Termination reason: Instruction limit
% 3.69/1.31 % (3468692)Termination phase: Saturation
% 3.69/1.31 % (3468692)Time elapsed: 0.005 s
% 3.69/1.31 % (3468692)Peak memory usage: 88 MB
% 3.69/1.31 % (3468692)Instructions burned: 4 (million)
% 3.69/1.31 % (3468688)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=587125909:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.69/1.31 % (3468694)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4211638718:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.69/1.31 % (3468691)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1128507762:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.69/1.31 % (3468691)Instruction limit reached!
% 3.69/1.31 % (3468691)------------------------------
% 3.69/1.31 % (3468691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.31 % (3468691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.31 % (3468691)CaDiCaL version: 2.1.3
% 3.69/1.31 % (3468691)Termination reason: Instruction limit
% 3.69/1.31 % (3468691)Termination phase: Saturation
% 3.69/1.31 % (3468691)Time elapsed: 0.007 s
% 3.69/1.31 % (3468691)Peak memory usage: 88 MB
% 3.69/1.31 % (3468691)Instructions burned: 7 (million)
% 3.69/1.31 % (3468688)Also succeeded, but the first one will report.
% 3.69/1.31 % (3468694)Also succeeded, but the first one will report.
% 3.69/1.31 % (3468705)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3530322798:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 3.69/1.31 % (3468705)Refutation not found, incomplete strategy
% 3.69/1.31 % (3468705)------------------------------
% 3.69/1.31 % (3468705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.31 % (3468705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.31 % (3468705)CaDiCaL version: 2.1.3
% 3.69/1.31 % (3468705)Termination reason: Refutation not found, incomplete strategy
% 3.69/1.31 % (3468705)Time elapsed: 0.001 s
% 3.69/1.31 % (3468705)Peak memory usage: 88 MB
% 3.69/1.31 % (3468693)Refutation found. Thanks to Tanya!
% 3.69/1.31 % SZS status Theorem for theBenchmark
% 3.69/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.31 % (3468693)------------------------------
% 3.69/1.31 % (3468693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.31 % (3468693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.31 % (3468693)CaDiCaL version: 2.1.3
% 3.69/1.31 % (3468693)Termination reason: Refutation
% 3.69/1.31 % (3468693)Time elapsed: 0.027 s
% 3.69/1.31 % (3468693)Peak memory usage: 115 MB
% 3.69/1.31 % (3468693)Instructions burned: 9 (million)
% 3.69/1.31 % (3468693)------------------------------
% 3.69/1.31 % (3468693)------------------------------
% 3.69/1.31 % (3468653)Success in time 0.439 s
% 3.69/1.31 % Vampire exiting
%------------------------------------------------------------------------------