%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT057_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 : n013.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 09:47:12 AM UTC 2026
% Result : Theorem 2.48s 0.92s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 5 unt; 0 typ; 2 def)
% Number of atoms : 43 ( 29 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 15 ~; 14 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 18 ( 0 atm; 0 fun; 0 num; 18 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 : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 36 ( 32 !; 4 ?; 36 :)
% 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_4,type,
sK0: ( array * array ) > $int ).
tff(func_def_5,type,
sK1: $int ).
tff(func_def_6,type,
sK2: array ).
tff(func_def_7,type,
sK3: data ).
tff(func_def_8,type,
sK4: $int ).
tff(f3,axiom,
! [X1: data,X3: $int,X0: $int,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,
! [X3: $int,X1: array,X0: data,X2: $int] :
( ( X2 = X3 )
| ( get(put(X1,X2,X0),X3) = get(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_lem_1) ).
tff(f7,negated_conjecture,
~ ! [X3: $int,X1: array,X0: data,X2: $int] :
( ( X2 = X3 )
| ( get(put(X1,X2,X0),X3) = get(X1,X3) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
~ ! [X3: $int,X2: data,X0: $int,X1: array] :
( ( X0 = X3 )
| ( get(put(X1,X3,X2),X0) = get(X1,X0) ) ),
inference(rectify,[],[f7]) ).
tff(f10,plain,
! [X0: data,X2: $int,X1: $int,X3: array] :
( ( X1 != X2 )
=> ( get(X3,X1) = get(put(X3,X2,X0),X1) ) ),
inference(rectify,[],[f3]) ).
tff(f13,plain,
? [X0: $int,X1: array,X2: data,X3: $int] :
( ( X0 != X3 )
& ( get(put(X1,X3,X2),X0) != get(X1,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f14,plain,
! [X2: $int,X1: $int,X0: data,X3: array] :
( ( X1 = X2 )
| ( get(X3,X1) = get(put(X3,X2,X0),X1) ) ),
inference(ennf_transformation,[],[f10]) ).
tff(f18,plain,
( ( sK1 != sK4 )
& ( get(put(sK2,sK4,sK3),sK1) != get(sK2,sK1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4)],[f13]) ).
tff(f19,plain,
! [X0: $int,X1: $int,X2: data,X3: array] :
( ( X0 = X1 )
| ( get(X3,X1) = get(put(X3,X0,X2),X1) ) ),
inference(rectify,[],[f14]) ).
tff(f24,plain,
get(put(sK2,sK4,sK3),sK1) != get(sK2,sK1),
inference(cnf_transformation,[],[f18]) ).
tff(f25,plain,
sK1 != sK4,
inference(cnf_transformation,[],[f18]) ).
tff(f26,plain,
! [X2: data,X3: array,X0: $int,X1: $int] :
( ( get(X3,X1) = get(put(X3,X0,X2),X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f32,definition,
( spl5_1
<=> ( get(put(sK2,sK4,sK3),sK1) = get(sK2,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
tff(f34,plain,
( ( get(put(sK2,sK4,sK3),sK1) != get(sK2,sK1) )
| spl5_1 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f35,plain,
~ spl5_1,
inference(avatar_split_clause,[],[f24,f32]) ).
tff(f37,definition,
( spl5_2
<=> ( sK1 = sK4 ) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
tff(f39,plain,
( ( sK1 != sK4 )
| spl5_2 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f40,plain,
~ spl5_2,
inference(avatar_split_clause,[],[f25,f37]) ).
tff(f54,plain,
( ( get(sK2,sK1) != get(sK2,sK1) )
| ( sK1 = sK4 )
| spl5_1 ),
inference(superposition,[],[f34,f26]) ).
tff(f55,plain,
( ( sK1 = sK4 )
| spl5_1 ),
inference(trivial_inequality_removal,[],[f54]) ).
tff(f56,plain,
( $false
| spl5_1
| spl5_2 ),
inference(forward_subsumption_resolution,[],[f55,f39]) ).
tff(f57,plain,
( spl5_1
| spl5_2 ),
inference(avatar_contradiction_clause,[],[f56]) ).
tff(f58,plain,
$false,
inference(avatar_smt_refutation,[],[f57,f40,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT057_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n013.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 00:06:52 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 Running first-order theorem proving
% 0.09/0.26 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
% 2.48/0.92 % (1711712)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.48/0.92 % (1711731)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=312039829:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 2.48/0.92 % (1711731)First to succeed.
% 2.48/0.92 % (1711731)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1711712"
% 2.48/0.92 % (1711732)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3688998800:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 2.48/0.92 % (1711728)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1554729330:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 2.48/0.92 % (1711726)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4269077423:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 2.48/0.92 % (1711730)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3577042803:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 2.48/0.92 % (1711729)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=988059053:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 2.48/0.92 % (1711730)Also succeeded, but the first one will report.
% 2.48/0.92 % (1711729)Also succeeded, but the first one will report.
% 2.48/0.92 % (1711727)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2248639017:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 2.48/0.92 % (1711728)Also succeeded, but the first one will report.
% 2.48/0.92 % (1711726)Refutation not found, incomplete strategy
% 2.48/0.92 % (1711726)------------------------------
% 2.48/0.92 % (1711726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.92 % (1711726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.92 % (1711726)CaDiCaL version: 2.1.3
% 2.48/0.92 % (1711726)Termination reason: Refutation not found, incomplete strategy
% 2.48/0.92 % (1711726)Time elapsed: 0.028 s
% 2.48/0.92 % (1711726)Peak memory usage: 115 MB
% 2.48/0.92 % (1711726)Instructions burned: 7 (million)
% 2.48/0.92 % (1711732)Also succeeded, but the first one will report.
% 2.48/0.92 % (1711727)Also succeeded, but the first one will report.
% 2.48/0.92 % (1711731)Refutation found. Thanks to Tanya!
% 2.48/0.92 % SZS status Theorem for theBenchmark
% 2.48/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 2.48/0.92 % (1711731)------------------------------
% 2.48/0.92 % (1711731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.92 % (1711731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.92 % (1711731)CaDiCaL version: 2.1.3
% 2.48/0.92 % (1711731)Termination reason: Refutation
% 2.48/0.92 % (1711731)Time elapsed: 0.019 s
% 2.48/0.92 % (1711731)Peak memory usage: 116 MB
% 2.48/0.92 % (1711731)Instructions burned: 10 (million)
% 2.48/0.92 % (1711731)------------------------------
% 2.48/0.92 % (1711731)------------------------------
% 2.48/0.92 % (1711712)Success in time 0.28 s
% 2.48/0.92 % Vampire exiting
%------------------------------------------------------------------------------