%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI550_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 : n017.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 09:33:20 AM UTC 2026
% Result : Theorem 3.27s 1.06s
% Output : Refutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 46 ( 6 atm; 14 fun; 19 num; 7 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 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 5 !; 2 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $int] : $less($sum($product(X0,32),-7),-128),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_combined_problem_14) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : $less($sum($product(X0,32),-7),-128),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f21,plain,
! [X0: $int] : ~ $less($sum($product(X0,32),-7),-128),
inference(ennf_transformation,[],[f2]) ).
tff(f22,plain,
! [X0: $int] : ~ $less($sum($product(X0,32),-7),-128),
inference(cnf_transformation,[],[f21]) ).
tff(f24,plain,
! [X0: $int] : ~ $less($sum(-7,$product(X0,32)),-128),
inference(forward_demodulation,[],[f22,f3]) ).
tff(f25,plain,
~ $less($sum(-7,$product(-128,32)),-128),
inference(instantiation,[],[f24]) ).
tff(f30,plain,
$false,
inference(evaluation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI550_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.24 % Computer : n017.cluster.edu
% 0.12/0.24 % Model : x86_64 x86_64
% 0.12/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.24 % Memory : 8046.5625MB
% 0.12/0.24 % OS : Linux 6.8.0-71-generic
% 0.12/0.24 % CPULimit : 300
% 0.12/0.24 % WCLimit : 300
% 0.12/0.24 % DateTime : Mon Sep 28 20:47:22 UTC 2026
% 0.12/0.25 % CPUTime :
% 0.12/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running first-order theorem proving
% 0.25/0.29 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
% 3.27/1.06 % (4007959)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.27/1.06 % (4007969)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2556984668:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 3.27/1.06 % (4007969)Refutation not found, incomplete strategy
% 3.27/1.06 % (4007969)------------------------------
% 3.27/1.06 % (4007969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.06 % (4007969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.06 % (4007969)CaDiCaL version: 2.1.3
% 3.27/1.06 % (4007969)Termination reason: Refutation not found, incomplete strategy
% 3.27/1.06 % (4007969)Time elapsed: 0.016 s
% 3.27/1.06 % (4007969)Peak memory usage: 112 MB
% 3.27/1.06 % (4007969)Instructions burned: 5 (million)
% 3.27/1.06 % (4007967)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3860696886:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 3.27/1.06 % (4007966)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=106605642:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 3.27/1.06 % (4007964)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1759054143:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 3.27/1.06 % (4007967)First to succeed.
% 3.27/1.06 % (4007967)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4007959"
% 3.27/1.06 % (4007965)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4270125878:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 3.27/1.06 % (4007968)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1611008680:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 3.27/1.06 % (4007970)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3858646312:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 3.27/1.06 % (4007968)Instruction limit reached!
% 3.27/1.06 % (4007968)------------------------------
% 3.27/1.06 % (4007968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.06 % (4007968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.06 % (4007968)CaDiCaL version: 2.1.3
% 3.27/1.06 % (4007968)Termination reason: Instruction limit
% 3.27/1.06 % (4007968)Termination phase: Saturation
% 3.27/1.06 % (4007968)Time elapsed: 0.004 s
% 3.27/1.06 % (4007968)Peak memory usage: 89 MB
% 3.27/1.06 % (4007968)Instructions burned: 5 (million)
% 3.27/1.06 % (4007966)Also succeeded, but the first one will report.
% 3.27/1.06 % (4007964)Refutation not found, incomplete strategy
% 3.27/1.06 % (4007964)------------------------------
% 3.27/1.06 % (4007964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.06 % (4007964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.06 % (4007964)CaDiCaL version: 2.1.3
% 3.27/1.06 % (4007964)Termination reason: Refutation not found, incomplete strategy
% 3.27/1.06 % (4007964)Time elapsed: 0.029 s
% 3.27/1.06 % (4007964)Peak memory usage: 112 MB
% 3.27/1.06 % (4007964)Instructions burned: 8 (million)
% 3.27/1.06 % (4007965)Refutation not found, incomplete strategy
% 3.27/1.06 % (4007965)------------------------------
% 3.27/1.06 % (4007965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.06 % (4007965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.06 % (4007965)CaDiCaL version: 2.1.3
% 3.27/1.06 % (4007965)Termination reason: Refutation not found, incomplete strategy
% 3.27/1.06 % (4007965)Time elapsed: 0.026 s
% 3.27/1.06 % (4007965)Peak memory usage: 111 MB
% 3.27/1.06 % (4007965)Instructions burned: 5 (million)
% 3.27/1.06 % (4007970)Instruction limit reached!
% 3.27/1.06 % (4007970)------------------------------
% 3.27/1.06 % (4007970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.06 % (4007970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.06 % (4007970)CaDiCaL version: 2.1.3
% 3.27/1.06 % (4007970)Termination reason: Instruction limit
% 3.27/1.06 % (4007970)Termination phase: Saturation
% 3.27/1.06 % (4007970)Time elapsed: 0.044 s
% 3.27/1.06 % (4007970)Peak memory usage: 112 MB
% 3.27/1.06 % (4007970)Instructions burned: 34 (million)
% 3.27/1.06 % (4007969)------------------------------
% 3.27/1.06 % (4007969)------------------------------
% 3.27/1.06 % (4007979)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3237449937:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.27/1.06 % (4007979)Refutation not found, incomplete strategy
% 3.27/1.06 % (4007979)------------------------------
% 3.27/1.06 % (4007979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.06 % (4007979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.06 % (4007979)CaDiCaL version: 2.1.3
% 3.27/1.06 % (4007979)Termination reason: Refutation not found, incomplete strategy
% 3.27/1.06 % (4007979)Time elapsed: 0.001 s
% 3.27/1.06 % (4007979)Peak memory usage: 88 MB
% 3.27/1.06 % (4007980)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=845165877:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.27/1.06 % (4007980)Instruction limit reached!
% 3.27/1.06 % (4007980)------------------------------
% 3.27/1.06 % (4007980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.06 % (4007980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.06 % (4007980)CaDiCaL version: 2.1.3
% 3.27/1.06 % (4007980)Termination reason: Instruction limit
% 3.27/1.06 % (4007980)Termination phase: Saturation
% 3.27/1.06 % (4007980)Time elapsed: 0.019 s
% 3.27/1.06 % (4007980)Peak memory usage: 88 MB
% 3.27/1.06 % (4007980)Instructions burned: 29 (million)
% 3.27/1.06 % (4008008)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1216041635:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.27/1.06 % (4008008)Refutation not found, incomplete strategy
% 3.27/1.06 % (4008008)------------------------------
% 3.27/1.06 % (4008008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.06 % (4008008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.06 % (4008008)CaDiCaL version: 2.1.3
% 3.27/1.06 % (4008008)Termination reason: Refutation not found, incomplete strategy
% 3.27/1.06 % (4008008)Time elapsed: 0.001 s
% 3.27/1.06 % (4008008)Peak memory usage: 90 MB
% 3.27/1.06 % (4008008)Instructions burned: 1 (million)
% 3.27/1.06 % (4007967)Refutation found. Thanks to Tanya!
% 3.27/1.06 % SZS status Theorem for theBenchmark
% 3.27/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 3.27/1.06 % (4007967)------------------------------
% 3.27/1.06 % (4007967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.06 % (4007967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.06 % (4007967)CaDiCaL version: 2.1.3
% 3.27/1.06 % (4007967)Termination reason: Refutation
% 3.27/1.06 % (4007967)Time elapsed: 0.002 s
% 3.27/1.06 % (4007967)Peak memory usage: 89 MB
% 3.27/1.06 % (4007967)Instructions burned: 1 (million)
% 3.27/1.06 % (4007967)------------------------------
% 3.27/1.06 % (4007967)------------------------------
% 3.27/1.06 % (4007959)Success in time 0.389 s
% 3.27/1.06 % Vampire exiting
%------------------------------------------------------------------------------