%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN356+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 02:07:27 PM UTC 2026
% Result : Theorem 0.07s 0.24s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 2 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 52 ( 17 ~; 13 |; 16 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( big_r(a,b)
& ! [X0,X1] :
( big_r(X0,X1)
=> ( big_r(X1,X0)
& big_q(X0,X1) ) )
& ! [X2,X3] :
( big_q(X2,X3)
=> big_q(X2,X2) ) )
=> ( big_q(a,a)
& big_q(b,b) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2107) ).
fof(f2,negated_conjecture,
~ ( ( big_r(a,b)
& ! [X0,X1] :
( big_r(X0,X1)
=> ( big_r(X1,X0)
& big_q(X0,X1) ) )
& ! [X2,X3] :
( big_q(X2,X3)
=> big_q(X2,X2) ) )
=> ( big_q(a,a)
& big_q(b,b) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ~ big_q(a,a)
| ~ big_q(b,b) )
& big_r(a,b)
& ! [X0,X1] :
( ( big_r(X1,X0)
& big_q(X0,X1) )
| ~ big_r(X0,X1) )
& ! [X2,X3] :
( big_q(X2,X2)
| ~ big_q(X2,X3) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ( ~ big_q(a,a)
| ~ big_q(b,b) )
& big_r(a,b)
& ! [X0,X1] :
( ( big_r(X1,X0)
& big_q(X0,X1) )
| ~ big_r(X0,X1) )
& ! [X2,X3] :
( big_q(X2,X2)
| ~ big_q(X2,X3) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X2,X3] :
( big_q(X2,X2)
| ~ big_q(X2,X3) ),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( big_q(X0,X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
! [X0,X1] :
( big_r(X0,X1)
| ~ big_r(X1,X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
big_r(a,b),
inference(cnf_transformation,[],[f4]) ).
fof(f9,plain,
( ~ big_q(a,a)
| ~ big_q(b,b) ),
inference(cnf_transformation,[],[f4]) ).
fof(f10,plain,
( big_q(a,a)
| big_q(b,b) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( ~ big_q(X0,X1)
| ~ big_r(X0,X1) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f12,plain,
! [X0,X1] :
( ~ big_q(X0,X0)
| big_q(X0,X1) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f19,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f10,f8,f7,f11,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN356+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n016.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:52:48 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.07/0.24 % (3727458)Will run a generic schedule for satisfiability detection.
% 0.07/0.24 % (3727463)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3066340879_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.24 % Detected minimum model sizes of [1]
% 0.07/0.24 % Detected maximum model sizes of [2]
% 0.07/0.24 % TRYING [1]
% 0.07/0.24 % TRYING [2]
% 0.07/0.24 % (3727463) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3727458-3727463"...
% 0.07/0.24 % (3727463)...printing done.
% 0.07/0.24 % (3727463)Refutation found. Thanks to Tanya!
% 0.07/0.24 % SZS status Theorem for theBenchmark
% 0.07/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.24 % (3727463)------------------------------
% 0.07/0.24 % (3727463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.24 % (3727463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.24 % (3727463)CaDiCaL version: 2.1.3
% 0.07/0.24 % (3727463)Termination reason: Refutation
% 0.07/0.24 % (3727463)Time elapsed: 0.001 s
% 0.07/0.24 % (3727463)Peak memory usage: 11 MB
% 0.07/0.24 % (3727463)Instructions burned: 1 (million)
% 0.07/0.24 % (3727458)Success in time 0.023 s
% 0.07/0.24 % Vampire exiting
%------------------------------------------------------------------------------