%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI174_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 : n012.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 09:32:37 AM UTC 2026
% Result : Theorem 2.21s 0.71s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 56 ( 0 atm; 21 fun; 23 num; 12 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 2 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 6 !; 6 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
'$inst0': $int ).
tff(func_def_9,type,
'$inst1': $int ).
tff(f1,conjecture,
? [X1: $int,X0: $int] : ( $sum($product(3,X0),$product(5,X1)) = 24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f2,negated_conjecture,
~ ? [X1: $int,X0: $int] : ( $sum($product(3,X0),$product(5,X1)) = 24 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
~ ? [X1: $int,X0: $int] : ( 24 = $sum($product(3,X1),$product(5,X0)) ),
inference(rectify,[],[f2]) ).
tff(f22,plain,
! [X1: $int,X0: $int] : ( 24 != $sum($product(3,X1),$product(5,X0)) ),
inference(ennf_transformation,[],[f21]) ).
tff(f23,plain,
! [X0: $int,X1: $int] : ( $sum($product(3,X0),$product(5,X1)) != 24 ),
inference(rectify,[],[f22]) ).
tff(f24,plain,
! [X0: $int,X1: $int] : ( $sum($product(3,X0),$product(5,X1)) != 24 ),
inference(cnf_transformation,[],[f23]) ).
tff(f26,plain,
24 != $sum($product(3,8),$product(5,0)),
inference(instantiation,[],[f24]) ).
tff(f27,plain,
$false,
inference(interpreted_simplification,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ARI174_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 20:43:19 UTC 2026
% 0.00/0.12 % CPUTime :
% 0.00/0.12 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.13 Running first-order theorem proving
% 0.10/0.13 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
% 2.21/0.71 % (3724569)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.21/0.71 % (3724643)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2794690293:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 2.21/0.71 % (3724644)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2197805302:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 2.21/0.71 % (3724641)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=500243322:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 2.21/0.71 % (3724647)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4283168999:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 2.21/0.71 % (3724642)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2515241823:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 2.21/0.71 % (3724645)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3234666660:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 2.21/0.71 % (3724645)Instruction limit reached!
% 2.21/0.71 % (3724645)------------------------------
% 2.21/0.71 % (3724645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/0.71 % (3724645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.71 % (3724645)CaDiCaL version: 2.1.3
% 2.21/0.71 % (3724645)Termination reason: Instruction limit
% 2.21/0.71 % (3724645)Termination phase: Saturation
% 2.21/0.71 % (3724645)Time elapsed: 0.002 s
% 2.21/0.71 % (3724645)Peak memory usage: 88 MB
% 2.21/0.71 % (3724645)Instructions burned: 5 (million)
% 2.21/0.71 % (3724644)Instruction limit reached!
% 2.21/0.71 % (3724644)------------------------------
% 2.21/0.71 % (3724644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/0.71 % (3724644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.71 % (3724644)CaDiCaL version: 2.1.3
% 2.21/0.71 % (3724644)Termination reason: Instruction limit
% 2.21/0.71 % (3724644)Termination phase: Saturation
% 2.21/0.71 % (3724644)Time elapsed: 0.003 s
% 2.21/0.71 % (3724644)Peak memory usage: 88 MB
% 2.21/0.71 % (3724644)Instructions burned: 9 (million)
% 2.21/0.71 % (3724646)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2576932501:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 2.21/0.71 % (3724641)Refutation not found, incomplete strategy
% 2.21/0.71 % (3724641)------------------------------
% 2.21/0.71 % (3724641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/0.71 % (3724642)Refutation not found, incomplete strategy
% 2.21/0.71 % (3724642)------------------------------
% 2.21/0.71 % (3724642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/0.71 % (3724642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.71 % (3724642)CaDiCaL version: 2.1.3
% 2.21/0.71 % (3724641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.71 % (3724642)Termination reason: Refutation not found, incomplete strategy
% 2.21/0.71 % (3724642)Time elapsed: 0.016 s
% 2.21/0.71 % (3724642)Peak memory usage: 111 MB
% 2.21/0.71 % (3724641)CaDiCaL version: 2.1.3
% 2.21/0.71 % (3724642)Instructions burned: 5 (million)
% 2.21/0.71 % (3724641)Termination reason: Refutation not found, incomplete strategy
% 2.21/0.71 % (3724641)Time elapsed: 0.016 s
% 2.21/0.71 % (3724641)Peak memory usage: 112 MB
% 2.21/0.71 % (3724641)Instructions burned: 5 (million)
% 2.21/0.71 % (3724643)First to succeed.
% 2.21/0.71 % (3724643)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3724569"
% 2.21/0.71 % (3724647)Instruction limit reached!
% 2.21/0.71 % (3724647)------------------------------
% 2.21/0.71 % (3724647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/0.71 % (3724647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.71 % (3724647)CaDiCaL version: 2.1.3
% 2.21/0.71 % (3724647)Termination reason: Instruction limit
% 2.21/0.71 % (3724647)Termination phase: Saturation
% 2.21/0.71 % (3724647)Time elapsed: 0.025 s
% 2.21/0.71 % (3724647)Peak memory usage: 112 MB
% 2.21/0.71 % (3724647)Instructions burned: 33 (million)
% 2.21/0.71 % (3724646)Refutation not found, incomplete strategy
% 2.21/0.71 % (3724646)------------------------------
% 2.21/0.71 % (3724646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/0.71 % (3724646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.71 % (3724646)CaDiCaL version: 2.1.3
% 2.21/0.71 % (3724646)Termination reason: Refutation not found, incomplete strategy
% 2.21/0.71 % (3724646)Time elapsed: 0.016 s
% 2.21/0.71 % (3724646)Peak memory usage: 112 MB
% 2.21/0.71 % (3724646)Instructions burned: 5 (million)
% 2.21/0.71 % (3724685)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=841225922:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 2.21/0.71 % (3724685)Refutation not found, incomplete strategy
% 2.21/0.71 % (3724685)------------------------------
% 2.21/0.71 % (3724685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/0.71 % (3724685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.71 % (3724685)CaDiCaL version: 2.1.3
% 2.21/0.71 % (3724685)Termination reason: Refutation not found, incomplete strategy
% 2.21/0.71 % (3724685)Time elapsed: 0.0000 s
% 2.21/0.71 % (3724685)Peak memory usage: 88 MB
% 2.21/0.71 % (3724687)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=3520945192:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2999 on theBenchmark for (2999ds/29Mi)
% 2.21/0.71 % (3724687)Instruction limit reached!
% 2.21/0.71 % (3724687)------------------------------
% 2.21/0.71 % (3724687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/0.71 % (3724687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.71 % (3724687)CaDiCaL version: 2.1.3
% 2.21/0.71 % (3724687)Termination reason: Instruction limit
% 2.21/0.71 % (3724687)Termination phase: Saturation
% 2.21/0.71 % (3724687)Time elapsed: 0.012 s
% 2.21/0.71 % (3724687)Peak memory usage: 88 MB
% 2.21/0.71 % (3724687)Instructions burned: 29 (million)
% 2.21/0.71 % (3724695)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1153531971:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 2.21/0.71 % (3724695)Refutation not found, incomplete strategy
% 2.21/0.71 % (3724695)------------------------------
% 2.21/0.71 % (3724695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/0.71 % (3724695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.71 % (3724695)CaDiCaL version: 2.1.3
% 2.21/0.71 % (3724695)Termination reason: Refutation not found, incomplete strategy
% 2.21/0.71 % (3724695)Time elapsed: 0.002 s
% 2.21/0.71 % (3724695)Peak memory usage: 90 MB
% 2.21/0.71 % (3724695)Instructions burned: 5 (million)
% 2.21/0.71 % (3724641)------------------------------
% 2.21/0.71 % (3724641)------------------------------
% 2.21/0.71 % (3724642)------------------------------
% 2.21/0.71 % (3724642)------------------------------
% 2.21/0.71 % (3724646)------------------------------
% 2.21/0.71 % (3724646)------------------------------
% 2.21/0.71 % (3724643)Refutation found. Thanks to Tanya!
% 2.21/0.71 % SZS status Theorem for theBenchmark
% 2.21/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.21/0.71 % (3724643)------------------------------
% 2.21/0.71 % (3724643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/0.71 % (3724643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.71 % (3724643)CaDiCaL version: 2.1.3
% 2.21/0.71 % (3724643)Termination reason: Refutation
% 2.21/0.71 % (3724643)Time elapsed: 0.018 s
% 2.21/0.71 % (3724643)Peak memory usage: 116 MB
% 2.21/0.71 % (3724643)Instructions burned: 7 (million)
% 2.21/0.71 % (3724643)------------------------------
% 2.21/0.71 % (3724643)------------------------------
% 2.21/0.71 % (3724569)Success in time 0.273 s
% 2.21/0.71 % Vampire exiting
%------------------------------------------------------------------------------