%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI177_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 : n026.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 09:32:38 AM UTC 2026
% Result : Theorem 3.73s 1.29s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 8 unt; 0 typ; 1 def)
% Number of atoms : 10 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 5 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 50 ( 0 atm; 21 fun; 21 num; 8 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 : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 6 !; 2 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $int ).
tff(func_def_9,type,
sK1: $int ).
tff(f1,conjecture,
! [X1: $int,X0: $int] : ( $sum($product(4,X0),$product(6,X1)) != 21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] : ( $sum($product(4,X0),$product(6,X1)) != 21 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
~ ! [X0: $int,X1: $int] : ( 21 != $sum($product(4,X1),$product(6,X0)) ),
inference(rectify,[],[f2]) ).
tff(f22,plain,
? [X0: $int,X1: $int] : ( 21 = $sum($product(4,X1),$product(6,X0)) ),
inference(ennf_transformation,[],[f21]) ).
tff(f23,plain,
21 = $sum($product(4,sK1),$product(6,sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f22]) ).
tff(f24,plain,
21 = $sum($product(4,sK1),$product(6,sK0)),
inference(cnf_transformation,[],[f23]) ).
tff(f26,definition,
( spl2_1
<=> ( 21 = $sum($product(4,sK1),$product(6,sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
tff(f29,plain,
spl2_1,
inference(avatar_split_clause,[],[f24,f26]) ).
tff(f30,plain,
$false,
inference(avatar_smt_refutation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI177_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n026.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 20:46:57 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.73/1.29 % (36668)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.73/1.29 % (36800)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2669592533:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.73/1.29 % (36800)Instruction limit reached!
% 3.73/1.29 % (36800)------------------------------
% 3.73/1.29 % (36800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.29 % (36800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.29 % (36800)CaDiCaL version: 2.1.3
% 3.73/1.29 % (36800)Termination reason: Instruction limit
% 3.73/1.29 % (36800)Termination phase: Saturation
% 3.73/1.29 % (36800)Time elapsed: 0.002 s
% 3.73/1.29 % (36800)Peak memory usage: 89 MB
% 3.73/1.29 % (36800)Instructions burned: 4 (million)
% 3.73/1.29 % (36798)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3515894250:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.73/1.29 % (36795)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3421920028:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.73/1.29 % (36796)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3715723809:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.73/1.29 % (36793)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4034645015:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.73/1.29 % (36798)Instruction limit reached!
% 3.73/1.29 % (36798)------------------------------
% 3.73/1.29 % (36798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.29 % (36798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.29 % (36798)CaDiCaL version: 2.1.3
% 3.73/1.29 % (36798)Termination reason: Instruction limit
% 3.73/1.29 % (36798)Termination phase: Saturation
% 3.73/1.29 % (36798)Time elapsed: 0.005 s
% 3.73/1.29 % (36798)Peak memory usage: 88 MB
% 3.73/1.29 % (36798)Instructions burned: 7 (million)
% 3.73/1.29 % (36802)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3256384322:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.73/1.29 % (36803)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1125713476:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.73/1.29 % (36793)First to succeed.
% 3.73/1.29 % (36793)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-36668"
% 3.73/1.29 % (36795)Also succeeded, but the first one will report.
% 3.73/1.29 % (36802)Also succeeded, but the first one will report.
% 3.73/1.29 % (36803)Also succeeded, but the first one will report.
% 3.73/1.29 % (36838)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1884611444:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.73/1.29 % (36838)Refutation not found, incomplete strategy
% 3.73/1.29 % (36838)------------------------------
% 3.73/1.29 % (36838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.29 % (36838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.29 % (36838)CaDiCaL version: 2.1.3
% 3.73/1.29 % (36838)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.29 % (36838)Time elapsed: 0.001 s
% 3.73/1.29 % (36838)Peak memory usage: 88 MB
% 3.73/1.29 % (36857)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=1277777820:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.73/1.29 % (36857)Instruction limit reached!
% 3.73/1.29 % (36857)------------------------------
% 3.73/1.29 % (36857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.29 % (36857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.29 % (36857)CaDiCaL version: 2.1.3
% 3.73/1.29 % (36857)Termination reason: Instruction limit
% 3.73/1.29 % (36857)Termination phase: Saturation
% 3.73/1.29 % (36857)Time elapsed: 0.016 s
% 3.73/1.29 % (36857)Peak memory usage: 88 MB
% 3.73/1.29 % (36857)Instructions burned: 31 (million)
% 3.73/1.29 % (36796)Instruction limit reached!
% 3.73/1.29 % (36796)------------------------------
% 3.73/1.29 % (36796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.29 % (36796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.29 % (36796)CaDiCaL version: 2.1.3
% 3.73/1.29 % (36796)Termination reason: Instruction limit
% 3.73/1.29 % (36796)Termination phase: Saturation
% 3.73/1.29 % (36796)Time elapsed: 0.168 s
% 3.73/1.29 % (36796)Peak memory usage: 117 MB
% 3.73/1.29 % (36796)Instructions burned: 202 (million)
% 3.73/1.29 % (36838)------------------------------
% 3.73/1.29 % (36838)------------------------------
% 3.73/1.29 % (36871)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1914869940:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.73/1.29 % (36871)Refutation not found, incomplete strategy
% 3.73/1.29 % (36871)------------------------------
% 3.73/1.29 % (36871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.29 % (36871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.29 % (36871)CaDiCaL version: 2.1.3
% 3.73/1.29 % (36871)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.29 % (36871)Time elapsed: 0.003 s
% 3.73/1.29 % (36871)Peak memory usage: 90 MB
% 3.73/1.29 % (36871)Instructions burned: 1 (million)
% 3.73/1.29 % (36793)Refutation found. Thanks to Tanya!
% 3.73/1.29 % SZS status Theorem for theBenchmark
% 3.73/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.29 % (36793)------------------------------
% 3.73/1.29 % (36793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.29 % (36793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.29 % (36793)CaDiCaL version: 2.1.3
% 3.73/1.29 % (36793)Termination reason: Refutation
% 3.73/1.29 % (36793)Time elapsed: 0.030 s
% 3.73/1.29 % (36793)Peak memory usage: 115 MB
% 3.73/1.29 % (36793)Instructions burned: 7 (million)
% 3.73/1.29 % (36793)------------------------------
% 3.73/1.29 % (36793)------------------------------
% 3.73/1.29 % (36668)Success in time 0.435 s
% 3.73/1.29 % Vampire exiting
%------------------------------------------------------------------------------