%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI085_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 : n016.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 09:34:01 AM UTC 2026
% Result : Theorem 0.22s 0.31s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 25 ( 12 ~; 3 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 42 ( 0 atm; 6 fun; 26 num; 10 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 0 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 6 !; 4 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
p: ( $int * $int ) > $o ).
tff(f1,conjecture,
( ( p(3,4)
& ~ p(1,6) )
=> ? [X0: $int,X1: $int] :
( p(X0,X1)
& ( $sum(X0,X1) = 7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_X_Y_7_predicate) ).
tff(f2,negated_conjecture,
~ ( ( p(3,4)
& ~ p(1,6) )
=> ? [X0: $int,X1: $int] :
( p(X0,X1)
& ( $sum(X0,X1) = 7 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
( ! [X0: $int,X1: $int] :
( ~ p(X0,X1)
| ( $sum(X0,X1) != 7 ) )
& p(3,4)
& ~ p(1,6) ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
( ! [X0: $int,X1: $int] :
( ~ p(X0,X1)
| ( $sum(X0,X1) != 7 ) )
& p(3,4)
& ~ p(1,6) ),
inference(flattening,[],[f15]) ).
tff(f17,plain,
! [X0: $int,X1: $int] :
( ~ p(X0,X1)
| ( $sum(X0,X1) != 7 ) ),
inference(cnf_transformation,[],[f16]) ).
tff(f19,plain,
p(3,4),
inference(cnf_transformation,[],[f16]) ).
tff(f20,plain,
7 != $sum(3,4),
inference(resolution,[],[f17,f19]) ).
tff(f21,plain,
$false,
inference(evaluation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI085_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 % Computer : n016.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 : Mon Sep 28 20:47:19 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.26 Running first-order model finding
% 0.09/0.26 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
% 0.22/0.31 % (3969831)Will run a generic schedule for satisfiability detection.
% 0.22/0.31 % (3969836)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2076834630_3000 on theBenchmark for (3000ds/0Mi)
% 0.22/0.31 % (3969836)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.31 % (3969836)Terminated due to inappropriate strategy.
% 0.22/0.31 % (3969836)------------------------------
% 0.22/0.31 % (3969836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.31 % (3969836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.31 % (3969836)CaDiCaL version: 2.1.3
% 0.22/0.31 % (3969836)Termination reason: Inappropriate
% 0.22/0.31 % (3969836)Time elapsed: 0.0000 s
% 0.22/0.31 % (3969836)Peak memory usage: 10 MB
% 0.22/0.31 % (3969842)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3508253261:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.22/0.31 % (3969836)------------------------------
% 0.22/0.31 % (3969836)------------------------------
% 0.22/0.31 % (3969837)% WARNING: option uhcvi not known.
% 0.22/0.31 % (3969841)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3037148179:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.22/0.31 % (3969837)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3030852005:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.22/0.31 % (3969840)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1018129730:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.22/0.31 % (3969838)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3820725449:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.22/0.31 % (3969839)dis+10_1_sil=32000:sp=arity:random_seed=192275427:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.22/0.31 % (3969841) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3969831-3969841"...
% 0.22/0.31 % (3969840) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3969831-3969840"...
% 0.22/0.31 % (3969841)...printing done.
% 0.22/0.31 % (3969840)...printing done.
% 0.22/0.31 % (3969840)Refutation found. Thanks to Tanya!
% 0.22/0.31 % SZS status Theorem for theBenchmark
% 0.22/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.31 % (3969840)------------------------------
% 0.22/0.31 % (3969840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.31 % (3969840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.31 % (3969840)CaDiCaL version: 2.1.3
% 0.22/0.31 % (3969840)Termination reason: Refutation
% 0.22/0.31 % (3969840)Time elapsed: 0.002 s
% 0.22/0.31 % (3969840)Peak memory usage: 12 MB
% 0.22/0.31 % (3969840)Instructions burned: 1 (million)
% 0.22/0.31 % (3969831)Success in time 0.041 s
% 0.22/0.31 % Vampire exiting
%------------------------------------------------------------------------------