%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI176_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 : n004.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 3.81s 1.29s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 48 ( 0 atm; 18 fun; 20 num; 10 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 : 10 ( 4 !; 6 ?; 10 :)
% 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)) = 22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f2,negated_conjecture,
~ ? [X1: $int,X0: $int] : ( $sum($product(3,X0),$product(5,X1)) = 22 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
~ ? [X1: $int,X0: $int] : ( 22 = $sum($product(3,X1),$product(5,X0)) ),
inference(rectify,[],[f2]) ).
tff(f22,plain,
! [X0: $int,X1: $int] : ( 22 != $sum($product(3,X1),$product(5,X0)) ),
inference(ennf_transformation,[],[f21]) ).
tff(f23,plain,
! [X0: $int,X1: $int] : ( 22 != $sum($product(3,X1),$product(5,X0)) ),
inference(cnf_transformation,[],[f22]) ).
tff(f25,plain,
22 != $sum($product(3,4),$product(5,2)),
inference(instantiation,[],[f23]) ).
tff(f26,plain,
$false,
inference(interpreted_simplification,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI176_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n004.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 20:43:37 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 Running first-order theorem proving
% 0.09/0.19 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
% 3.81/1.29 % (739761)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.81/1.29 % (739769)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3416870514:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.81/1.29 % (739769)Instruction limit reached!
% 3.81/1.29 % (739769)------------------------------
% 3.81/1.29 % (739769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.29 % (739769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.29 % (739769)CaDiCaL version: 2.1.3
% 3.81/1.29 % (739769)Termination reason: Instruction limit
% 3.81/1.29 % (739769)Termination phase: Saturation
% 3.81/1.29 % (739769)Time elapsed: 0.003 s
% 3.81/1.29 % (739769)Peak memory usage: 88 MB
% 3.81/1.29 % (739769)Instructions burned: 7 (million)
% 3.81/1.29 % (739767)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3146872528:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.81/1.29 % (739766)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3730921206:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.81/1.29 % (739770)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=829469496:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.81/1.29 % (739768)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1015929980:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.81/1.29 % (739771)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1754333218:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.81/1.29 % (739772)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2922004940:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.81/1.29 % (739770)Instruction limit reached!
% 3.81/1.29 % (739770)------------------------------
% 3.81/1.29 % (739770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.29 % (739770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.29 % (739770)CaDiCaL version: 2.1.3
% 3.81/1.29 % (739770)Termination reason: Instruction limit
% 3.81/1.29 % (739770)Termination phase: Saturation
% 3.81/1.29 % (739770)Time elapsed: 0.004 s
% 3.81/1.29 % (739770)Peak memory usage: 88 MB
% 3.81/1.29 % (739770)Instructions burned: 5 (million)
% 3.81/1.29 % (739767)Refutation not found, incomplete strategy
% 3.81/1.29 % (739767)------------------------------
% 3.81/1.29 % (739767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.29 % (739767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.29 % (739767)CaDiCaL version: 2.1.3
% 3.81/1.29 % (739767)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.29 % (739767)Time elapsed: 0.028 s
% 3.81/1.29 % (739767)Peak memory usage: 111 MB
% 3.81/1.29 % (739767)Instructions burned: 5 (million)
% 3.81/1.29 % (739771)Refutation not found, incomplete strategy
% 3.81/1.29 % (739771)------------------------------
% 3.81/1.29 % (739771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.29 % (739771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.29 % (739771)CaDiCaL version: 2.1.3
% 3.81/1.29 % (739771)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.29 % (739771)Time elapsed: 0.028 s
% 3.81/1.29 % (739766)Refutation not found, incomplete strategy
% 3.81/1.29 % (739766)------------------------------
% 3.81/1.29 % (739766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.29 % (739771)Peak memory usage: 112 MB
% 3.81/1.29 % (739766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.29 % (739771)Instructions burned: 5 (million)
% 3.81/1.29 % (739766)CaDiCaL version: 2.1.3
% 3.81/1.29 % (739766)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.29 % (739766)Time elapsed: 0.028 s
% 3.81/1.29 % (739766)Peak memory usage: 111 MB
% 3.81/1.29 % (739766)Instructions burned: 5 (million)
% 3.81/1.29 % (739768)First to succeed.
% 3.81/1.29 % (739768)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-739761"
% 3.81/1.29 % (739772)Instruction limit reached!
% 3.81/1.29 % (739772)------------------------------
% 3.81/1.29 % (739772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.29 % (739772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.29 % (739772)CaDiCaL version: 2.1.3
% 3.81/1.29 % (739772)Termination reason: Instruction limit
% 3.81/1.29 % (739772)Termination phase: Saturation
% 3.81/1.29 % (739772)Time elapsed: 0.045 s
% 3.81/1.29 % (739772)Peak memory usage: 111 MB
% 3.81/1.29 % (739772)Instructions burned: 34 (million)
% 3.81/1.29 % (739774)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2909293989:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.81/1.29 % (739774)Refutation not found, incomplete strategy
% 3.81/1.29 % (739774)------------------------------
% 3.81/1.29 % (739774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.29 % (739774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.29 % (739774)CaDiCaL version: 2.1.3
% 3.81/1.29 % (739774)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.29 % (739774)Time elapsed: 0.001 s
% 3.81/1.29 % (739774)Peak memory usage: 88 MB
% 3.81/1.29 % (739781)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=283183582:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.81/1.29 % (739781)Instruction limit reached!
% 3.81/1.29 % (739781)------------------------------
% 3.81/1.29 % (739781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.29 % (739781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.29 % (739781)CaDiCaL version: 2.1.3
% 3.81/1.29 % (739781)Termination reason: Instruction limit
% 3.81/1.29 % (739781)Termination phase: Saturation
% 3.81/1.29 % (739781)Time elapsed: 0.016 s
% 3.81/1.29 % (739781)Peak memory usage: 88 MB
% 3.81/1.29 % (739781)Instructions burned: 30 (million)
% 3.81/1.29 % (739782)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2631907840:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.81/1.29 % (739782)Refutation not found, incomplete strategy
% 3.81/1.29 % (739782)------------------------------
% 3.81/1.29 % (739782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.29 % (739782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.29 % (739782)CaDiCaL version: 2.1.3
% 3.81/1.29 % (739782)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.29 % (739782)Time elapsed: 0.004 s
% 3.81/1.29 % (739782)Peak memory usage: 90 MB
% 3.81/1.29 % (739782)Instructions burned: 3 (million)
% 3.81/1.29 % (739774)------------------------------
% 3.81/1.29 % (739774)------------------------------
% 3.81/1.29 % (739766)------------------------------
% 3.81/1.29 % (739766)------------------------------
% 3.81/1.29 % (739767)------------------------------
% 3.81/1.29 % (739767)------------------------------
% 3.81/1.29 % (739771)------------------------------
% 3.81/1.29 % (739771)------------------------------
% 3.81/1.29 % (739768)Refutation found. Thanks to Tanya!
% 3.81/1.29 % SZS status Theorem for theBenchmark
% 3.81/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.81/1.29 % (739768)------------------------------
% 3.81/1.29 % (739768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.29 % (739768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.29 % (739768)CaDiCaL version: 2.1.3
% 3.81/1.29 % (739768)Termination reason: Refutation
% 3.81/1.29 % (739768)Time elapsed: 0.030 s
% 3.81/1.29 % (739768)Peak memory usage: 116 MB
% 3.81/1.29 % (739768)Instructions burned: 7 (million)
% 3.81/1.29 % (739768)------------------------------
% 3.81/1.29 % (739768)------------------------------
% 3.81/1.29 % (739761)Success in time 0.459 s
% 3.81/1.29 % Vampire exiting
%------------------------------------------------------------------------------