%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI105_1 : TPTP v9.3.1. Released v5.0.0.
% 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 09:32:32 AM UTC 2026
% Result : Theorem 3.92s 1.35s
% Output : Refutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 2 def)
% Number of atoms : 17 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 0 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 27 ( 0 atm; 6 fun; 18 num; 3 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 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $int ).
tff(f1,conjecture,
! [X0: $int] :
( ( $product(X0,3) = 6 )
=> ( X0 = 2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_only_2_3_6) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $product(X0,3) = 6 )
=> ( X0 = 2 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
? [X0: $int] :
( ( $product(X0,3) = 6 )
& ( 2 != X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f22,plain,
( ( 6 = $product(sK0,3) )
& ( 2 != sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21]) ).
tff(f23,plain,
2 != sK0,
inference(cnf_transformation,[],[f22]) ).
tff(f24,plain,
6 = $product(sK0,3),
inference(cnf_transformation,[],[f22]) ).
tff(f26,definition,
( spl1_1
<=> ( 2 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f29,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f23,f26]) ).
tff(f31,definition,
( spl1_2
<=> ( 6 = $product(sK0,3) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f34,plain,
spl1_2,
inference(avatar_split_clause,[],[f24,f31]) ).
tff(f35,plain,
$false,
inference(avatar_smt_refutation,[],[f34,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI105_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n011.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 20:43:01 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 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
% 3.92/1.35 % (3748417)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.92/1.35 % (3748468)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=747854087:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.92/1.35 % (3748468)Instruction limit reached!
% 3.92/1.35 % (3748468)------------------------------
% 3.92/1.35 % (3748468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.35 % (3748468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.35 % (3748468)CaDiCaL version: 2.1.3
% 3.92/1.35 % (3748468)Termination reason: Instruction limit
% 3.92/1.35 % (3748468)Termination phase: Saturation
% 3.92/1.35 % (3748468)Time elapsed: 0.002 s
% 3.92/1.35 % (3748468)Peak memory usage: 88 MB
% 3.92/1.35 % (3748468)Instructions burned: 4 (million)
% 3.92/1.35 % (3748467)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1338096054:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.92/1.35 % (3748465)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2941568167:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.92/1.35 % (3748466)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2428714959:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.92/1.35 % (3748464)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=225946621:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.92/1.35 % (3748467)Instruction limit reached!
% 3.92/1.35 % (3748467)------------------------------
% 3.92/1.35 % (3748467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.35 % (3748467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.35 % (3748467)CaDiCaL version: 2.1.3
% 3.92/1.35 % (3748467)Termination reason: Instruction limit
% 3.92/1.35 % (3748467)Termination phase: Saturation
% 3.92/1.35 % (3748467)Time elapsed: 0.005 s
% 3.92/1.35 % (3748467)Peak memory usage: 88 MB
% 3.92/1.35 % (3748467)Instructions burned: 7 (million)
% 3.92/1.35 % (3748469)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1684980791:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.92/1.35 % (3748470)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2408298382:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.92/1.35 % (3748464)First to succeed.
% 3.92/1.35 % (3748464)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3748417"
% 3.92/1.35 % (3748465)Also succeeded, but the first one will report.
% 3.92/1.35 % (3748469)Also succeeded, but the first one will report.
% 3.92/1.35 % (3748470)Also succeeded, but the first one will report.
% 3.92/1.35 % (3748472)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3770254173:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.92/1.35 % (3748472)Refutation not found, incomplete strategy
% 3.92/1.35 % (3748472)------------------------------
% 3.92/1.35 % (3748472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.35 % (3748472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.35 % (3748472)CaDiCaL version: 2.1.3
% 3.92/1.35 % (3748472)Termination reason: Refutation not found, incomplete strategy
% 3.92/1.35 % (3748472)Time elapsed: 0.001 s
% 3.92/1.35 % (3748472)Peak memory usage: 88 MB
% 3.92/1.35 % (3748466)Also succeeded, but the first one will report.
% 3.92/1.35 % (3748479)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=106093351:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.92/1.35 % (3748479)Instruction limit reached!
% 3.92/1.35 % (3748479)------------------------------
% 3.92/1.35 % (3748479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.35 % (3748479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.35 % (3748479)CaDiCaL version: 2.1.3
% 3.92/1.35 % (3748479)Termination reason: Instruction limit
% 3.92/1.35 % (3748479)Termination phase: Saturation
% 3.92/1.35 % (3748479)Time elapsed: 0.016 s
% 3.92/1.35 % (3748479)Peak memory usage: 88 MB
% 3.92/1.35 % (3748479)Instructions burned: 30 (million)
% 3.92/1.35 % (3748472)------------------------------
% 3.92/1.35 % (3748472)------------------------------
% 3.92/1.35 % (3748464)Refutation found. Thanks to Tanya!
% 3.92/1.35 % SZS status Theorem for theBenchmark
% 3.92/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.92/1.35 % (3748464)------------------------------
% 3.92/1.35 % (3748464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.35 % (3748464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.35 % (3748464)CaDiCaL version: 2.1.3
% 3.92/1.35 % (3748464)Termination reason: Refutation
% 3.92/1.35 % (3748464)Time elapsed: 0.031 s
% 3.92/1.35 % (3748464)Peak memory usage: 115 MB
% 3.92/1.35 % (3748464)Instructions burned: 8 (million)
% 3.92/1.35 % (3748464)------------------------------
% 3.92/1.35 % (3748464)------------------------------
% 3.92/1.35 % (3748417)Success in time 0.464 s
% 3.92/1.35 % Vampire exiting
%------------------------------------------------------------------------------