%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT061_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:47:13 AM UTC 2026
% Result : Theorem 3.85s 1.31s
% Output : Refutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 7 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 30 ( 9 atm; 0 fun; 0 num; 21 var)
% Number of types : 3 ( 2 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 : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 41 ( 33 !; 8 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
data: $tType ).
tff(type_def_6,type,
array: $tType ).
tff(func_def_0,type,
mkarray: array ).
tff(func_def_1,type,
none: data ).
tff(func_def_2,type,
put: ( array * $int * data ) > array ).
tff(func_def_3,type,
get: ( array * $int ) > data ).
tff(func_def_8,type,
sK0: $int ).
tff(func_def_9,type,
sK1: array ).
tff(func_def_10,type,
sK2: data ).
tff(func_def_11,type,
sK3: $int ).
tff(func_def_12,type,
sK4: ( array * array ) > $int ).
tff(f3,axiom,
! [X0: $int,X3: $int,X1: data,X2: array] :
( ( X3 != X0 )
=> ( get(put(X2,X0,X1),X3) = get(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_19) ).
tff(f6,conjecture,
! [X1: array,X0: data,X2: $int,X3: $int] :
( ( get(put(X1,X2,X0),X3) = get(X1,X3) )
| ~ $less(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_lem_7) ).
tff(f7,negated_conjecture,
~ ! [X1: array,X0: data,X2: $int,X3: $int] :
( ( get(put(X1,X2,X0),X3) = get(X1,X3) )
| ~ $less(X2,X3) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f13,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f20,plain,
! [X3: array,X2: data,X0: $int,X1: $int] :
( ( X0 != X1 )
=> ( get(X3,X1) = get(put(X3,X0,X2),X1) ) ),
inference(rectify,[],[f3]) ).
tff(f21,plain,
~ ! [X2: $int,X0: array,X1: data,X3: $int] :
( ( get(X0,X3) = get(put(X0,X2,X1),X3) )
| ~ $less(X2,X3) ),
inference(rectify,[],[f7]) ).
tff(f24,plain,
! [X2: data,X3: array,X1: $int,X0: $int] :
( ( get(X3,X1) = get(put(X3,X0,X2),X1) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f20]) ).
tff(f25,plain,
? [X3: $int,X0: array,X1: data,X2: $int] :
( ( get(X0,X3) != get(put(X0,X2,X1),X3) )
& $less(X2,X3) ),
inference(ennf_transformation,[],[f21]) ).
tff(f26,plain,
? [X0: $int,X1: array,X2: data,X3: $int] :
( ( get(put(X1,X3,X2),X0) != get(X1,X0) )
& $less(X3,X0) ),
inference(rectify,[],[f25]) ).
tff(f27,plain,
( ( get(sK1,sK0) != get(put(sK1,sK3,sK2),sK0) )
& $less(sK3,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f26]) ).
tff(f29,plain,
! [X0: data,X1: array,X2: $int,X3: $int] :
( ( get(X1,X2) = get(put(X1,X3,X0),X2) )
| ( X2 = X3 ) ),
inference(rectify,[],[f24]) ).
tff(f34,plain,
$less(sK3,sK0),
inference(cnf_transformation,[],[f27]) ).
tff(f35,plain,
get(sK1,sK0) != get(put(sK1,sK3,sK2),sK0),
inference(cnf_transformation,[],[f27]) ).
tff(f37,plain,
! [X2: $int,X3: $int,X0: data,X1: array] :
( ( get(X1,X2) = get(put(X1,X3,X0),X2) )
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f29]) ).
tff(f144,plain,
( ( sK3 = sK0 )
| ( get(sK1,sK0) != get(sK1,sK0) ) ),
inference(superposition,[],[f35,f37]) ).
tff(f161,plain,
sK3 = sK0,
inference(trivial_inequality_removal,[],[f144]) ).
tff(f172,plain,
$less(sK0,sK0),
inference(superposition,[],[f34,f161]) ).
tff(f174,plain,
$false,
inference(forward_subsumption_resolution,[],[f172,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT061_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.16 % Computer : n001.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Tue Sep 29 00:13:19 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 3.85/1.31 % (872190)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.85/1.31 % (872199)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3517874538:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.85/1.31 % (872199)Instruction limit reached!
% 3.85/1.31 % (872199)------------------------------
% 3.85/1.31 % (872199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.31 % (872199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.31 % (872199)CaDiCaL version: 2.1.3
% 3.85/1.31 % (872199)Termination reason: Instruction limit
% 3.85/1.31 % (872199)Termination phase: Saturation
% 3.85/1.31 % (872199)Time elapsed: 0.003 s
% 3.85/1.31 % (872199)Peak memory usage: 89 MB
% 3.85/1.31 % (872199)Instructions burned: 6 (million)
% 3.85/1.31 % (872200)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=549108423:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.85/1.31 % (872195)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2950027746:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.85/1.31 % (872196)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1668202876:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.85/1.31 % (872197)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3982623822:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.85/1.31 % (872198)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3400134035:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.85/1.31 % (872198)First to succeed.
% 3.85/1.31 % (872198)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-872190"
% 3.85/1.31 % (872201)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2349852475:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.85/1.31 % (872195)Refutation not found, incomplete strategy
% 3.85/1.31 % (872195)------------------------------
% 3.85/1.31 % (872195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.31 % (872195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.31 % (872195)CaDiCaL version: 2.1.3
% 3.85/1.31 % (872195)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.31 % (872195)Time elapsed: 0.033 s
% 3.85/1.31 % (872195)Peak memory usage: 115 MB
% 3.85/1.31 % (872195)Instructions burned: 10 (million)
% 3.85/1.31 % (872200)Also succeeded, but the first one will report.
% 3.85/1.31 % (872196)Also succeeded, but the first one will report.
% 3.85/1.31 % (872197)Also succeeded, but the first one will report.
% 3.85/1.31 % (872201)Instruction limit reached!
% 3.85/1.31 % (872201)------------------------------
% 3.85/1.31 % (872201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.31 % (872201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.31 % (872201)CaDiCaL version: 2.1.3
% 3.85/1.31 % (872201)Termination reason: Instruction limit
% 3.85/1.31 % (872201)Termination phase: Saturation
% 3.85/1.31 % (872201)Time elapsed: 0.049 s
% 3.85/1.31 % (872201)Peak memory usage: 116 MB
% 3.85/1.31 % (872201)Instructions burned: 33 (million)
% 3.85/1.31 % (872203)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1891962525:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.85/1.31 % (872203)Instruction limit reached!
% 3.85/1.31 % (872203)------------------------------
% 3.85/1.31 % (872203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.31 % (872203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.31 % (872203)CaDiCaL version: 2.1.3
% 3.85/1.31 % (872203)Termination reason: Instruction limit
% 3.85/1.31 % (872203)Termination phase: Saturation
% 3.85/1.31 % (872203)Time elapsed: 0.006 s
% 3.85/1.31 % (872203)Peak memory usage: 88 MB
% 3.85/1.31 % (872203)Instructions burned: 15 (million)
% 3.85/1.31 % (872212)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1359038482:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.85/1.31 % (872210)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=3418781105:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 3.85/1.31 % (872212)Refutation not found, incomplete strategy
% 3.85/1.31 % (872212)------------------------------
% 3.85/1.31 % (872212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.31 % (872212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.31 % (872212)CaDiCaL version: 2.1.3
% 3.85/1.31 % (872212)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.31 % (872212)Time elapsed: 0.004 s
% 3.85/1.31 % (872212)Peak memory usage: 90 MB
% 3.85/1.31 % (872212)Instructions burned: 7 (million)
% 3.85/1.31 % (872210)Also succeeded, but the first one will report.
% 3.85/1.31 % (872198)Refutation found. Thanks to Tanya!
% 3.85/1.31 % SZS status Theorem for theBenchmark
% 3.85/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.85/1.31 % (872198)------------------------------
% 3.85/1.31 % (872198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.31 % (872198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.31 % (872198)CaDiCaL version: 2.1.3
% 3.85/1.31 % (872198)Termination reason: Refutation
% 3.85/1.31 % (872198)Time elapsed: 0.005 s
% 3.85/1.31 % (872198)Peak memory usage: 89 MB
% 3.85/1.31 % (872198)Instructions burned: 4 (million)
% 3.85/1.31 % (872198)------------------------------
% 3.85/1.31 % (872198)------------------------------
% 3.85/1.31 % (872190)Success in time 0.448 s
% 3.85/1.31 % Vampire exiting
%------------------------------------------------------------------------------