%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT058_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 09:48:03 AM UTC 2026
% Result : Theorem 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 18 ~; 17 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 25 ( 0 atm; 0 fun; 0 num; 25 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 : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 54 ( 51 !; 3 ?; 54 :)
% 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(f1,axiom,
! [X0: $int] : ( get(mkarray,X0) = none ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT004_0.ax',ax_17) ).
tff(f2,axiom,
! [X0: array,X1: $int,X2: data] : ( get(put(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT004_0.ax',ax_18) ).
tff(f3,axiom,
! [X0: $int,X1: data,X2: array,X3: $int] :
( ( X3 != X0 )
=> ( get(put(X2,X0,X1),X3) = get(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT004_0.ax',ax_19) ).
tff(f5,axiom,
! [X0: array,X1: array] :
( ( X0 = X1 )
<=> ! [X2: $int] : ( get(X0,X2) = get(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT004_0.ax',ax_21) ).
tff(f6,conjecture,
! [X0: $int] : ( put(mkarray,X0,none) = mkarray ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_lem_2) ).
tff(f7,negated_conjecture,
~ ! [X0: $int] : ( put(mkarray,X0,none) = mkarray ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
! [X0: $int,X1: data,X2: array,X3: $int] :
( ( get(put(X2,X0,X1),X3) = get(X2,X3) )
| ( X0 = X3 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f9,plain,
? [X0: $int] : ( mkarray != put(mkarray,X0,none) ),
inference(ennf_transformation,[],[f7]) ).
tff(f10,plain,
! [X0: array,X1: array] :
( ( ( X0 = X1 )
| ? [X2: $int] : ( get(X0,X2) != get(X1,X2) ) )
& ( ! [X2: $int] : ( get(X0,X2) = get(X1,X2) )
| ( X0 != X1 ) ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f11,plain,
! [X0: array,X1: array] :
( ( ( X0 = X1 )
| ? [X2: $int] : ( get(X0,X2) != get(X1,X2) ) )
& ( ! [X3: $int] : ( get(X0,X3) = get(X1,X3) )
| ( X0 != X1 ) ) ),
inference(rectify,[],[f10]) ).
tff(f12,plain,
! [X0: array,X1: array] :
( ( ( X0 = X1 )
| ( get(X0,sK0(X0,X1)) != get(X1,sK0(X0,X1)) ) )
& ( ! [X3: $int] : ( get(X0,X3) = get(X1,X3) )
| ( X0 != X1 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f11]) ).
tff(f13,plain,
mkarray != put(mkarray,sK1,none),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f9]) ).
tff(f14,plain,
! [X0: $int] : ( get(mkarray,X0) = none ),
inference(cnf_transformation,[],[f1]) ).
tff(f15,plain,
! [X2: data,X0: array,X1: $int] : ( get(put(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f2]) ).
tff(f16,plain,
! [X2: array,X3: $int,X0: $int,X1: data] :
( ( get(put(X2,X0,X1),X3) = get(X2,X3) )
| ( X0 = X3 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f19,plain,
! [X0: array,X1: array] :
( ( get(X0,sK0(X0,X1)) != get(X1,sK0(X0,X1)) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f12]) ).
tff(f20,plain,
mkarray != put(mkarray,sK1,none),
inference(cnf_transformation,[],[f13]) ).
tff(f27,plain,
! [X2: data,X3: array,X0: array,X1: $int] :
( ( get(X0,sK0(put(X0,X1,X2),X3)) != get(X3,sK0(put(X0,X1,X2),X3)) )
| ( put(X0,X1,X2) = X3 )
| ( sK0(put(X0,X1,X2),X3) = X1 ) ),
inference(superposition,[],[f19,f16]) ).
tff(f28,plain,
! [X0: array] :
( ( none != get(X0,sK0(X0,mkarray)) )
| ( mkarray = X0 ) ),
inference(superposition,[],[f19,f14]) ).
tff(f70,plain,
! [X2: data,X0: array,X1: $int] :
( ( sK0(put(X0,X1,X2),X0) = X1 )
| ( put(X0,X1,X2) = X0 ) ),
inference(equality_resolution,[],[f27]) ).
tff(f73,plain,
! [X0: $int,X1: data] :
( ( none != get(put(mkarray,X0,X1),X0) )
| ( mkarray = put(mkarray,X0,X1) )
| ( mkarray = put(mkarray,X0,X1) ) ),
inference(superposition,[],[f28,f70]) ).
tff(f74,plain,
! [X0: $int,X1: data] :
( ( none != get(put(mkarray,X0,X1),X0) )
| ( mkarray = put(mkarray,X0,X1) ) ),
inference(duplicate_literal_removal,[],[f73]) ).
tff(f76,plain,
! [X0: $int,X1: data] :
( ( none != X1 )
| ( mkarray = put(mkarray,X0,X1) ) ),
inference(forward_demodulation,[],[f74,f15]) ).
tff(f91,plain,
! [X0: $int] : ( mkarray = put(mkarray,X0,none) ),
inference(equality_resolution,[],[f76]) ).
tff(f102,plain,
mkarray != mkarray,
inference(superposition,[],[f20,f91]) ).
tff(f108,plain,
$false,
inference(trivial_inequality_removal,[],[f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT058_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n014.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 00:07:16 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % (2303255)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (2303263)dis+10_1_sil=32000:sp=arity:random_seed=3317224282:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.26 % (2303260)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3802058939_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.26 % (2303266)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=233360707:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.26 % (2303262)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3192497128:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.26 % (2303264)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3293679798:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.26 % (2303265)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2959372247:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.26 % (2303260)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.07/0.26 % (2303260)Terminated due to inappropriate strategy.
% 0.07/0.26 % (2303260)------------------------------
% 0.07/0.26 % (2303260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (2303260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (2303260)CaDiCaL version: 2.1.3
% 0.07/0.26 % (2303260)Termination reason: Inappropriate
% 0.07/0.26 % (2303260)Time elapsed: 0.0000 s
% 0.07/0.26 % (2303260)Peak memory usage: 10 MB
% 0.07/0.26 % (2303260)------------------------------
% 0.07/0.26 % (2303260)------------------------------
% 0.07/0.26 % (2303263) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2303255-2303263"...
% 0.07/0.26 % (2303264) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2303255-2303264"...
% 0.07/0.26 % (2303261)% WARNING: option uhcvi not known.
% 0.07/0.26 % (2303263)...printing done.
% 0.07/0.26 % (2303264)...printing done.
% 0.07/0.26 % (2303265) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2303255-2303265"...
% 0.07/0.26 % (2303261)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2016200678:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.26 % (2303263)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Theorem for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26 % (2303263)------------------------------
% 0.07/0.26 % (2303263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (2303263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (2303263)CaDiCaL version: 2.1.3
% 0.07/0.26 % (2303263)Termination reason: Refutation
% 0.07/0.26 % (2303263)Time elapsed: 0.005 s
% 0.07/0.26 % (2303263)Peak memory usage: 11 MB
% 0.07/0.26 % (2303263)Instructions burned: 7 (million)
% 0.07/0.26 % (2303255)Success in time 0.046 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------