%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN721+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 02:17:58 PM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 51 ( 18 ~; 12 |; 15 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 37 ( 33 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( r(a,b)
& ! [X0] :
( ? [X1] : r(X0,X1)
=> q(X0,X0) )
& ! [X2,X3] :
( q(X2,X3)
=> ! [X4] : r(X4,X3) ) )
=> ? [X5] :
( r(b,X5)
& q(X5,a) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1) ).
fof(f2,negated_conjecture,
~ ( ( r(a,b)
& ! [X0] :
( ? [X1] : r(X0,X1)
=> q(X0,X0) )
& ! [X2,X3] :
( q(X2,X3)
=> ! [X4] : r(X4,X3) ) )
=> ? [X5] :
( r(b,X5)
& q(X5,a) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X5] :
( ~ r(b,X5)
| ~ q(X5,a) )
& r(a,b)
& ! [X0] :
( q(X0,X0)
| ! [X1] : ~ r(X0,X1) )
& ! [X2,X3] :
( ! [X4] : r(X4,X3)
| ~ q(X2,X3) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X5] :
( ~ r(b,X5)
| ~ q(X5,a) )
& r(a,b)
& ! [X0] :
( q(X0,X0)
| ! [X1] : ~ r(X0,X1) )
& ! [X2,X3] :
( ! [X4] : r(X4,X3)
| ~ q(X2,X3) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( ! [X0] :
( ~ r(b,X0)
| ~ q(X0,a) )
& r(a,b)
& ! [X1] :
( q(X1,X1)
| ! [X2] : ~ r(X1,X2) )
& ! [X3,X4] :
( ! [X5] : r(X5,X4)
| ~ q(X3,X4) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
! [X3,X4,X5] :
( ~ q(X3,X4)
| r(X5,X4) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X2,X1] :
( ~ r(X1,X2)
| q(X1,X1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
r(a,b),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X0] :
( ~ q(X0,a)
| ~ r(b,X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f33,plain,
q(a,a),
inference(resolution,[],[f7,f8]) ).
fof(f44,plain,
~ r(b,a),
inference(resolution,[],[f33,f9]) ).
fof(f45,plain,
! [X0] : r(X0,a),
inference(resolution,[],[f33,f6]) ).
fof(f49,plain,
$false,
inference(resolution,[],[f45,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN721+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n002.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 16:51:37 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.09/0.24 % (509110)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (509117)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2249452958:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.24 % (509117) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-509110-509117"...
% 0.09/0.24 % (509117)...printing done.
% 0.09/0.24 % (509117)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Theorem for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.24 % (509117)------------------------------
% 0.09/0.24 % (509117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (509117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (509117)CaDiCaL version: 2.1.3
% 0.09/0.24 % (509117)Termination reason: Refutation
% 0.09/0.24 % (509117)Time elapsed: 0.001 s
% 0.09/0.24 % (509117)Peak memory usage: 11 MB
% 0.09/0.24 % (509117)Instructions burned: 1 (million)
% 0.09/0.24 % (509110)Success in time 0.031 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------