%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI121_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 : n018.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 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 5 ~; 0 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 41 ( 0 atm; 10 fun; 23 num; 8 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 : 6 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 4 !; 4 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(func_def_8,type,
sK1: $int ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( ( ( $product(6,7) = X0 )
& ( $product(7,6) = X1 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutative_product_6_7) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( ( ( $product(6,7) = X0 )
& ( $product(7,6) = X1 ) )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( $product(6,7) = X0 )
& ( $product(7,6) = X1 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f22,plain,
? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( $product(6,7) = X0 )
& ( $product(7,6) = X1 ) ),
inference(flattening,[],[f21]) ).
tff(f23,plain,
$product(7,6) = sK1,
inference(cnf_transformation,[],[f22]) ).
tff(f24,plain,
$product(6,7) = sK0,
inference(cnf_transformation,[],[f22]) ).
tff(f25,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f22]) ).
tff(f27,plain,
sK1 = 42,
inference(evaluation,[],[f23]) ).
tff(f28,plain,
sK0 = 42,
inference(evaluation,[],[f24]) ).
tff(f29,plain,
sK0 != 42,
inference(superposition,[],[f25,f27]) ).
tff(f30,plain,
$false,
inference(forward_subsumption_resolution,[],[f29,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI121_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n018.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 20:45:26 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 Running first-order model finding
% 0.08/0.24 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
% 0.20/0.27 % (3744694)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (3744700)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3323645763_3000 on theBenchmark for (3000ds/0Mi)
% 0.20/0.27 % (3744700)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.27 % (3744700)Terminated due to inappropriate strategy.
% 0.20/0.27 % (3744700)------------------------------
% 0.20/0.27 % (3744700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3744700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3744700)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3744700)Termination reason: Inappropriate
% 0.20/0.27 % (3744700)Time elapsed: 0.0000 s
% 0.20/0.27 % (3744700)Peak memory usage: 10 MB
% 0.20/0.27 % (3744700)------------------------------
% 0.20/0.27 % (3744700)------------------------------
% 0.20/0.27 % (3744701)% WARNING: option uhcvi not known.
% 0.20/0.27 % (3744701)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=686804879:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.20/0.27 % (3744703)dis+10_1_sil=32000:sp=arity:random_seed=2627029382:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.20/0.27 % (3744702)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1584642871:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.20/0.27 % (3744706)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2199800875:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.20/0.27 % (3744704)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1207122341:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.20/0.27 % (3744705)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2968800081:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.20/0.27 % (3744701) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3744694-3744701"...
% 0.20/0.27 % (3744703) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3744694-3744703"...
% 0.20/0.27 % (3744706) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3744694-3744706"...
% 0.20/0.27 % (3744704) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3744694-3744704"...
% 0.20/0.27 % (3744702) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3744694-3744702"...
% 0.20/0.27 % (3744705) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3744694-3744705"...
% 0.20/0.27 % (3744701)...printing done.
% 0.20/0.27 % (3744703)...printing done.
% 0.20/0.27 % (3744713)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4148821114:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.27 % (3744706)...printing done.
% 0.20/0.27 % (3744704)...printing done.
% 0.20/0.27 % (3744705)...printing done.
% 0.20/0.27 % (3744702)...printing done.
% 0.20/0.27 % (3744713)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.27 % (3744713)Terminated due to inappropriate strategy.
% 0.20/0.27 % (3744713)------------------------------
% 0.20/0.27 % (3744713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3744713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3744713)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3744713)Termination reason: Inappropriate
% 0.20/0.27 % (3744713)Time elapsed: 0.0000 s
% 0.20/0.27 % (3744713)Peak memory usage: 11 MB
% 0.20/0.27 % (3744701)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (3744701)------------------------------
% 0.20/0.27 % (3744701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3744701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3744701)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3744701)Termination reason: Refutation
% 0.20/0.27 % (3744701)Time elapsed: 0.002 s
% 0.20/0.27 % (3744701)Peak memory usage: 12 MB
% 0.20/0.27 % (3744701)Instructions burned: 1 (million)
% 0.20/0.27 % (3744694)Success in time 0.024 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------