%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT004_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:47:56 AM UTC 2026
% Result : Theorem 0.24s 0.31s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 9 ~; 10 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 105 ( 0 atm; 0 fun; 89 num; 16 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 5 usr; 10 con; 0-3 aty)
% Number of variables : 28 ( 22 !; 6 ?; 28 :)
% 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_9,type,
sK0: array ).
tff(func_def_10,type,
sK1: array ).
tff(func_def_11,type,
sK2: $int ).
tff(f1,axiom,
! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT001_0.ax',ax1) ).
tff(f2,axiom,
! [X0: array,X1: $int,X2: $int,X3: $int] :
( ( X1 = X2 )
| ( read(write(X0,X1,X3),X2) = read(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT001_0.ax',ax2) ).
tff(f3,conjecture,
! [X0: array,X1: array,X2: $int] :
( ( X0 = write(write(write(write(X1,3,33),4,44),5,55),X2,66) )
=> ( ( read(X0,4) = 44 )
| ( read(X0,4) = 66 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f4,negated_conjecture,
~ ! [X0: array,X1: array,X2: $int] :
( ( X0 = write(write(write(write(X1,3,33),4,44),5,55),X2,66) )
=> ( ( read(X0,4) = 44 )
| ( read(X0,4) = 66 ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,plain,
? [X0: array,X1: array,X2: $int] :
( ( 44 != read(X0,4) )
& ( 66 != read(X0,4) )
& ( X0 = write(write(write(write(X1,3,33),4,44),5,55),X2,66) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
? [X0: array,X1: array,X2: $int] :
( ( 44 != read(X0,4) )
& ( 66 != read(X0,4) )
& ( X0 = write(write(write(write(X1,3,33),4,44),5,55),X2,66) ) ),
inference(flattening,[],[f5]) ).
tff(f7,plain,
( ( 44 != read(sK0,4) )
& ( 66 != read(sK0,4) )
& ( sK0 = write(write(write(write(sK1,3,33),4,44),5,55),sK2,66) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f6]) ).
tff(f8,plain,
! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f1]) ).
tff(f9,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f2]) ).
tff(f10,plain,
sK0 = write(write(write(write(sK1,3,33),4,44),5,55),sK2,66),
inference(cnf_transformation,[],[f7]) ).
tff(f11,plain,
66 != read(sK0,4),
inference(cnf_transformation,[],[f7]) ).
tff(f12,plain,
44 != read(sK0,4),
inference(cnf_transformation,[],[f7]) ).
tff(f13,plain,
66 = read(sK0,sK2),
inference(superposition,[],[f8,f10]) ).
tff(f14,plain,
! [X0: $int] :
( ( read(write(write(write(sK1,3,33),4,44),5,55),X0) = read(sK0,X0) )
| ( sK2 = X0 ) ),
inference(superposition,[],[f9,f10]) ).
tff(f16,plain,
! [X0: $int] :
( ( read(sK0,X0) = read(write(write(sK1,3,33),4,44),X0) )
| ( sK2 = X0 )
| ( 5 = X0 ) ),
inference(superposition,[],[f14,f9]) ).
tff(f31,plain,
( ( 44 = read(sK0,4) )
| ( 4 = sK2 )
| ( 4 = 5 ) ),
inference(superposition,[],[f8,f16]) ).
tff(f33,plain,
( ( 44 = read(sK0,4) )
| ( 4 = sK2 ) ),
inference(evaluation,[],[f31]) ).
tff(f35,plain,
4 = sK2,
inference(forward_subsumption_resolution,[],[f33,f12]) ).
tff(f37,plain,
66 = read(sK0,4),
inference(superposition,[],[f13,f35]) ).
tff(f39,plain,
$false,
inference(forward_subsumption_resolution,[],[f37,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT004_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 % Computer : n007.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 00:03:11 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.27 Running first-order model finding
% 0.24/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.31 % (2984039)Will run a generic schedule for satisfiability detection.
% 0.24/0.31 % (2984047)dis+10_1_sil=32000:sp=arity:random_seed=373923735:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.31 % (2984047) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2984039-2984047"...
% 0.24/0.31 % (2984048)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2307931534:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.31 % (2984047)...printing done.
% 0.24/0.31 % (2984047)Refutation found. Thanks to Tanya!
% 0.24/0.31 % SZS status Theorem for theBenchmark
% 0.24/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.31 % (2984047)------------------------------
% 0.24/0.31 % (2984047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.31 % (2984047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.31 % (2984047)CaDiCaL version: 2.1.3
% 0.24/0.31 % (2984047)Termination reason: Refutation
% 0.24/0.31 % (2984047)Time elapsed: 0.002 s
% 0.24/0.31 % (2984047)Peak memory usage: 11 MB
% 0.24/0.31 % (2984047)Instructions burned: 3 (million)
% 0.24/0.31 % (2984039)Success in time 0.025 s
% 0.24/0.31 % Vampire exiting
%------------------------------------------------------------------------------