%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI123_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 09:34:05 AM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 20 ( 4 ~; 0 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 46 ( 0 atm; 16 fun; 0 num; 30 var)
% Number of types : 1 ( 0 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 : 1 ( 0 usr; 0 con; 2-2 aty)
% Number of variables : 30 ( 16 !; 14 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( ( $product(X0,X1) = X3 )
& ( $product(X3,X2) = X4 )
& ( $product(X1,X2) = X5 )
& ( $product(X0,X5) = X6 ) )
=> ( X4 = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_product_exists) ).
tff(f2,negated_conjecture,
~ ? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( ( $product(X0,X1) = X3 )
& ( $product(X3,X2) = X4 )
& ( $product(X1,X2) = X5 )
& ( $product(X0,X5) = X6 ) )
=> ( X4 = X6 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( X4 != X6 )
& ( $product(X0,X1) = X3 )
& ( $product(X3,X2) = X4 )
& ( $product(X1,X2) = X5 )
& ( $product(X0,X5) = X6 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f22,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( X4 != X6 )
& ( $product(X0,X1) = X3 )
& ( $product(X3,X2) = X4 )
& ( $product(X1,X2) = X5 )
& ( $product(X0,X5) = X6 ) ),
inference(flattening,[],[f21]) ).
tff(f27,plain,
! [X6: $int,X4: $int] : ( X4 != X6 ),
inference(cnf_transformation,[],[f22]) ).
tff(f29,plain,
$false,
inference(equality_resolution,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI123_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n013.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 20:42:36 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 0.20/0.29 % (1539439)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (1539445)% WARNING: option uhcvi not known.
% 0.20/0.29 % (1539444)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1269747972_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (1539446)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=904137219:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (1539448)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=937114402:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (1539445)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2858639468:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (1539447)dis+10_1_sil=32000:sp=arity:random_seed=3314194920:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (1539444)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.29 % (1539444)Terminated due to inappropriate strategy.
% 0.20/0.29 % (1539444)------------------------------
% 0.20/0.29 % (1539444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (1539444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (1539444)CaDiCaL version: 2.1.3
% 0.20/0.29 % (1539444)Termination reason: Inappropriate
% 0.20/0.29 % (1539444)Time elapsed: 0.001 s
% 0.20/0.29 % (1539444)Peak memory usage: 10 MB
% 0.20/0.29 % (1539446) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1539439-1539446"...
% 0.20/0.29 % (1539447) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1539439-1539447"...
% 0.20/0.29 % (1539445) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1539439-1539445"...
% 0.20/0.29 % (1539448) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1539439-1539448"...
% 0.20/0.29 % (1539444)------------------------------
% 0.20/0.29 % (1539444)------------------------------
% 0.20/0.29 % (1539445)...printing done.
% 0.20/0.29 % (1539448)...printing done.
% 0.20/0.29 % (1539447)...printing done.
% 0.20/0.29 % (1539446)...printing done.
% 0.20/0.29 % (1539449)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4274256017:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (1539448)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (1539448)------------------------------
% 0.20/0.29 % (1539448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (1539448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (1539448)CaDiCaL version: 2.1.3
% 0.20/0.29 % (1539448)Termination reason: Refutation
% 0.20/0.29 % (1539448)Time elapsed: 0.001 s
% 0.20/0.29 % (1539448)Peak memory usage: 11 MB
% 0.20/0.29 % (1539448)Instructions burned: 1 (million)
% 0.20/0.29 % (1539439)Success in time 0.04 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------