%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT059_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 2.53s 1.11s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 9 ( 0 atm; 0 fun; 0 num; 9 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 36 ( 28 !; 8 ?; 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: data ).
tff(func_def_6,type,
sK2: $int ).
tff(func_def_7,type,
sK3: array ).
tff(func_def_8,type,
sK4: data ).
tff(f4,axiom,
! [X2: $int,X0: data,X3: data,X1: array] : ( put(put(X1,X2,X0),X2,X3) = put(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_20) ).
tff(f6,conjecture,
! [X3: data,X1: array,X2: $int,X0: data] : ( put(put(X1,X2,X0),X2,X3) = put(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_lem_5) ).
tff(f7,negated_conjecture,
~ ! [X3: data,X1: array,X2: $int,X0: data] : ( put(put(X1,X2,X0),X2,X3) = put(X1,X2,X3) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
! [X1: data,X2: data,X0: $int,X3: array] : ( put(X3,X0,X2) = put(put(X3,X0,X1),X0,X2) ),
inference(rectify,[],[f4]) ).
tff(f11,plain,
~ ! [X1: array,X3: data,X2: $int,X0: data] : ( put(X1,X2,X0) = put(put(X1,X2,X3),X2,X0) ),
inference(rectify,[],[f7]) ).
tff(f14,plain,
? [X0: data,X2: $int,X1: array,X3: data] : ( put(X1,X2,X0) != put(put(X1,X2,X3),X2,X0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f16,plain,
! [X0: data,X1: data,X2: $int,X3: array] : ( put(put(X3,X2,X0),X2,X1) = put(X3,X2,X1) ),
inference(rectify,[],[f8]) ).
tff(f20,plain,
? [X0: data,X1: $int,X2: array,X3: data] : ( put(X2,X1,X0) != put(put(X2,X1,X3),X1,X0) ),
inference(rectify,[],[f14]) ).
tff(f21,plain,
put(put(sK3,sK2,sK4),sK2,sK1) != put(sK3,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)],[f20]) ).
tff(f24,plain,
! [X2: $int,X3: array,X0: data,X1: data] : ( put(put(X3,X2,X0),X2,X1) = put(X3,X2,X1) ),
inference(cnf_transformation,[],[f16]) ).
tff(f28,plain,
put(put(sK3,sK2,sK4),sK2,sK1) != put(sK3,sK2,sK1),
inference(cnf_transformation,[],[f21]) ).
tff(f32,plain,
put(sK3,sK2,sK1) != put(sK3,sK2,sK1),
inference(constrained_superposition,[],[f28,f24]) ).
tff(f34,plain,
$false,
inference(trivial_inequality_removal,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT059_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n007.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 00:05:26 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.53/1.11 % (2987952)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.53/1.11 % (2987961)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=898141256:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.53/1.11 % (2987961)First to succeed.
% 2.53/1.11 % (2987961)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2987952"
% 2.53/1.11 % (2987960)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3286470207:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.53/1.11 % (2987963)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3740660398:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.53/1.11 % (2987958)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3812574251:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.53/1.11 % (2987957)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3990033935:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.53/1.11 % (2987959)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2411763803:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.53/1.11 % (2987960)Also succeeded, but the first one will report.
% 2.53/1.11 % (2987962)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4230341273:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.53/1.11 % (2987959)Also succeeded, but the first one will report.
% 2.53/1.11 % (2987957)Refutation not found, incomplete strategy
% 2.53/1.11 % (2987957)------------------------------
% 2.53/1.11 % (2987957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.11 % (2987957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.11 % (2987957)CaDiCaL version: 2.1.3
% 2.53/1.11 % (2987957)Termination reason: Refutation not found, incomplete strategy
% 2.53/1.11 % (2987957)Time elapsed: 0.029 s
% 2.53/1.11 % (2987957)Peak memory usage: 115 MB
% 2.53/1.11 % (2987957)Instructions burned: 6 (million)
% 2.53/1.11 % (2987963)Also succeeded, but the first one will report.
% 2.53/1.11 % (2987958)Also succeeded, but the first one will report.
% 2.53/1.11 % (2987962)Also succeeded, but the first one will report.
% 2.53/1.11 % (2987961)Refutation found. Thanks to Tanya!
% 2.53/1.11 % SZS status Theorem for theBenchmark
% 2.53/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 2.53/1.11 % (2987961)------------------------------
% 2.53/1.11 % (2987961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.11 % (2987961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.11 % (2987961)CaDiCaL version: 2.1.3
% 2.53/1.11 % (2987961)Termination reason: Refutation
% 2.53/1.11 % (2987961)Time elapsed: 0.001 s
% 2.53/1.11 % (2987961)Peak memory usage: 89 MB
% 2.53/1.11 % (2987961)Instructions burned: 1 (million)
% 2.53/1.11 % (2987961)------------------------------
% 2.53/1.11 % (2987961)------------------------------
% 2.53/1.11 % (2987952)Success in time 0.273 s
% 2.53/1.11 % Vampire exiting
%------------------------------------------------------------------------------