%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT008_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 : n003.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 09:47:05 AM UTC 2026
% Result : Theorem 0.18s 1.20s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 42 ( 14 unt; 0 typ; 2 def)
% Number of atoms : 79 ( 26 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 26 ~; 19 |; 12 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 131 ( 28 atm; 0 fun; 67 num; 36 var)
% Number of types : 2 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 5 usr; 7 con; 0-3 aty)
% Number of variables : 58 ( 0 sgn 49 !; 9 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
array: $tType ).
tff(func_def_0,type,
read: ( array * $int ) > $int ).
tff(func_def_1,type,
write: ( array * $int * $int ) > array ).
tff(func_def_10,type,
sK0: array ).
tff(func_def_11,type,
sK1: array ).
tff(func_def_12,type,
sK2: $int ).
tff(f1,axiom,
! [X2: $int,X1: $int,X0: array] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f2,axiom,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
| ( X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f3,conjecture,
! [X1: array,X0: array] :
( ( ! [X2: $int] : $greater(read(X1,X2),X2)
& ( X0 = write(write(X1,3,5),7,9) ) )
=> ! [X3: $int] : $greater(read(X0,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f4,negated_conjecture,
~ ! [X1: array,X0: array] :
( ( ! [X2: $int] : $greater(read(X1,X2),X2)
& ( X0 = write(write(X1,3,5),7,9) ) )
=> ! [X3: $int] : $greater(read(X0,X3),X3) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,plain,
~ ! [X1: array,X0: array] :
( ( ! [X2: $int] : $less(X2,read(X1,X2))
& ( X0 = write(write(X1,3,5),7,9) ) )
=> ! [X3: $int] : $less(X3,read(X0,X3)) ),
inference(theory_normalization,[],[f4]) ).
tff(f18,plain,
! [X2: array,X0: $int,X1: $int] : ( read(write(X2,X1,X0),X1) = X0 ),
inference(rectify,[],[f1]) ).
tff(f19,plain,
~ ! [X0: array,X1: array] :
( ( ( write(write(X0,3,5),7,9) = X1 )
& ! [X2: $int] : $less(X2,read(X0,X2)) )
=> ! [X3: $int] : $less(X3,read(X1,X3)) ),
inference(rectify,[],[f5]) ).
tff(f20,plain,
! [X2: array,X1: $int,X3: $int,X0: $int] :
( ( read(X2,X0) = read(write(X2,X3,X1),X0) )
| ( X0 = X3 ) ),
inference(rectify,[],[f2]) ).
tff(f21,plain,
? [X0: array,X1: array] :
( ? [X3: $int] : ~ $less(X3,read(X1,X3))
& ( write(write(X0,3,5),7,9) = X1 )
& ! [X2: $int] : $less(X2,read(X0,X2)) ),
inference(ennf_transformation,[],[f19]) ).
tff(f22,plain,
? [X1: array,X0: array] :
( ( write(write(X0,3,5),7,9) = X1 )
& ? [X3: $int] : ~ $less(X3,read(X1,X3))
& ! [X2: $int] : $less(X2,read(X0,X2)) ),
inference(flattening,[],[f21]) ).
tff(f23,plain,
! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X2,X1),X2) = X1 ),
inference(rectify,[],[f18]) ).
tff(f24,plain,
? [X0: array,X1: array] :
( ( write(write(X1,3,5),7,9) = X0 )
& ? [X2: $int] : ~ $less(X2,read(X0,X2))
& ! [X3: $int] : $less(X3,read(X1,X3)) ),
inference(rectify,[],[f22]) ).
tff(f25,plain,
( ( write(write(sK1,3,5),7,9) = sK0 )
& ~ $less(sK2,read(sK0,sK2))
& ! [X3: $int] : $less(X3,read(sK1,X3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f24]) ).
tff(f26,plain,
! [X0: array,X1: $int,X2: $int,X3: $int] :
( ( read(X0,X3) = read(write(X0,X2,X1),X3) )
| ( X2 = X3 ) ),
inference(rectify,[],[f20]) ).
tff(f27,plain,
! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X2,X1),X2) = X1 ),
inference(cnf_transformation,[],[f23]) ).
tff(f28,plain,
! [X3: $int] : $less(X3,read(sK1,X3)),
inference(cnf_transformation,[],[f25]) ).
tff(f29,plain,
~ $less(sK2,read(sK0,sK2)),
inference(cnf_transformation,[],[f25]) ).
tff(f30,plain,
write(write(sK1,3,5),7,9) = sK0,
inference(cnf_transformation,[],[f25]) ).
tff(f31,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ( read(X0,X3) = read(write(X0,X2,X1),X3) )
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f26]) ).
tff(f40,plain,
~ $less(sK2,read(write(write(sK1,3,5),7,9),sK2)),
inference(superposition,[],[f29,f30]) ).
tff(f171,plain,
( ( 7 = sK2 )
| ~ $less(sK2,read(write(sK1,3,5),sK2)) ),
inference(superposition,[],[f40,f31]) ).
tff(f206,definition,
( spl3_5
<=> ( 7 = sK2 ) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
tff(f208,plain,
( ( 7 = sK2 )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f206]) ).
tff(f210,definition,
( spl3_6
<=> $less(sK2,read(write(sK1,3,5),sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
tff(f212,plain,
( ~ $less(sK2,read(write(sK1,3,5),sK2))
| spl3_6 ),
inference(avatar_component_clause,[],[f210]) ).
tff(f213,plain,
( spl3_5
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f171,f210,f206]) ).
tff(f214,plain,
( ( 3 = sK2 )
| ~ $less(sK2,read(sK1,sK2))
| spl3_6 ),
inference(superposition,[],[f212,f31]) ).
tff(f215,plain,
( ( 3 = sK2 )
| spl3_6 ),
inference(forward_subsumption_resolution,[],[f214,f28]) ).
tff(f245,plain,
( ~ $less(3,read(write(sK1,3,5),3))
| spl3_6 ),
inference(superposition,[],[f212,f215]) ).
tff(f248,plain,
( ~ $less(3,5)
| spl3_6 ),
inference(forward_demodulation,[],[f245,f27]) ).
tff(f249,plain,
( $false
| spl3_6 ),
inference(evaluation,[],[f248]) ).
tff(f250,plain,
spl3_6,
inference(avatar_contradiction_clause,[],[f249]) ).
tff(f253,plain,
( ~ $less(7,read(sK0,7))
| ~ spl3_5 ),
inference(superposition,[],[f29,f208]) ).
tff(f263,plain,
( ~ $less(7,read(write(write(sK1,3,5),7,9),7))
| ~ spl3_5 ),
inference(forward_demodulation,[],[f253,f30]) ).
tff(f264,plain,
( ~ $less(7,9)
| ~ spl3_5 ),
inference(forward_demodulation,[],[f263,f27]) ).
tff(f265,plain,
( $false
| ~ spl3_5 ),
inference(evaluation,[],[f264]) ).
tff(f266,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f265]) ).
cnf(s3,plain,
( spl3_5
| ~ spl3_6 ),
inference(sat_conversion,[],[f213]) ).
cnf(s5,plain,
spl3_6,
inference(sat_conversion,[],[f250]) ).
cnf(s8,plain,
~ spl3_5,
inference(sat_conversion,[],[f266]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s3,s5,s8]) ).
tff(f267,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT008_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n003.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 00:06:58 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 0.18/1.20 % (2152197)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.18/1.20 % (2152208)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=956153554:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.18/1.20 % (2152208)Instruction limit reached!
% 0.18/1.20 % (2152208)------------------------------
% 0.18/1.20 % (2152208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (2152208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (2152208)CaDiCaL version: 2.1.3
% 0.18/1.20 % (2152208)Termination reason: Instruction limit
% 0.18/1.20 % (2152208)Termination phase: Saturation
% 0.18/1.20 % (2152208)Time elapsed: 0.028 s
% 0.18/1.20 % (2152208)Peak memory usage: 116 MB
% 0.18/1.20 % (2152208)Instructions burned: 33 (million)
% 0.18/1.20 % (2152205)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=262208103:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.18/1.20 % (2152202)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=738741279:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.18/1.20 % (2152206)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3749680476:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.18/1.20 % (2152203)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1481093355:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.18/1.20 % (2152207)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3513922992:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.18/1.20 % (2152204)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2666162802:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.18/1.20 % (2152206)Instruction limit reached!
% 0.18/1.20 % (2152206)------------------------------
% 0.18/1.20 % (2152206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (2152206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (2152206)CaDiCaL version: 2.1.3
% 0.18/1.20 % (2152206)Termination reason: Instruction limit
% 0.18/1.20 % (2152206)Termination phase: Saturation
% 0.18/1.20 % (2152206)Time elapsed: 0.004 s
% 0.18/1.20 % (2152206)Peak memory usage: 88 MB
% 0.18/1.20 % (2152206)Instructions burned: 5 (million)
% 0.18/1.20 % (2152205)First to succeed.
% 0.18/1.20 % (2152205)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2152197"
% 0.18/1.20 % (2152202)Instruction limit reached!
% 0.18/1.20 % (2152202)------------------------------
% 0.18/1.20 % (2152202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (2152202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (2152202)CaDiCaL version: 2.1.3
% 0.18/1.20 % (2152202)Termination reason: Instruction limit
% 0.18/1.20 % (2152202)Termination phase: Saturation
% 0.18/1.20 % (2152202)Time elapsed: 0.031 s
% 0.18/1.20 % (2152202)Peak memory usage: 115 MB
% 0.18/1.20 % (2152202)Instructions burned: 12 (million)
% 0.18/1.20 % (2152203)Also succeeded, but the first one will report.
% 0.18/1.20 % (2152207)Also succeeded, but the first one will report.
% 0.18/1.20 % (2152204)Also succeeded, but the first one will report.
% 0.18/1.20 % (2152210)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1726593059:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.18/1.20 % (2152210)Also succeeded, but the first one will report.
% 0.18/1.20 % (2152217)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=3824351042:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 0.18/1.20 % (2152217)Instruction limit reached!
% 0.18/1.20 % (2152217)------------------------------
% 0.18/1.20 % (2152217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (2152217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (2152217)CaDiCaL version: 2.1.3
% 0.18/1.20 % (2152217)Termination reason: Instruction limit
% 0.18/1.20 % (2152217)Termination phase: Saturation
% 0.18/1.20 % (2152217)Time elapsed: 0.019 s
% 0.18/1.20 % (2152217)Peak memory usage: 88 MB
% 0.18/1.20 % (2152217)Instructions burned: 29 (million)
% 0.18/1.20 % (2152218)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2421142227:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 0.18/1.20 % (2152218)Refutation not found, incomplete strategy
% 0.18/1.20 % (2152218)------------------------------
% 0.18/1.20 % (2152218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (2152218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (2152218)CaDiCaL version: 2.1.3
% 0.18/1.20 % (2152218)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.20 % (2152218)Time elapsed: 0.006 s
% 0.18/1.20 % (2152218)Peak memory usage: 90 MB
% 0.18/1.20 % (2152218)Instructions burned: 7 (million)
% 0.18/1.20 % (2152205)Refutation found. Thanks to Tanya!
% 0.18/1.20 % SZS status Theorem for theBenchmark
% 0.18/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.20 % (2152205)------------------------------
% 0.18/1.20 % (2152205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (2152205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (2152205)CaDiCaL version: 2.1.3
% 0.18/1.20 % (2152205)Termination reason: Refutation
% 0.18/1.20 % (2152205)Time elapsed: 0.006 s
% 0.18/1.20 % (2152205)Peak memory usage: 89 MB
% 0.18/1.20 % (2152205)Instructions burned: 6 (million)
% 0.18/1.20 % (2152205)------------------------------
% 0.18/1.20 % (2152205)------------------------------
% 0.18/1.20 % (2152197)Success in time 0.447 s
% 0.18/1.20 % Vampire exiting
%------------------------------------------------------------------------------