%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN366+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 02:07:29 PM UTC 2026
% Result : Theorem 0.09s 0.23s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 72 ( 23 ~; 14 |; 23 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 46 ( 36 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0,X1] :
( big_r(X0,X0)
<=> big_r(X0,X1) )
& ! [X2,X3] :
( big_r(X2,X2)
<=> big_r(X3,X2) ) )
=> ( ? [X4] : big_r(X4,X4)
=> ! [X5] : big_r(X5,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2117) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0,X1] :
( big_r(X0,X0)
<=> big_r(X0,X1) )
& ! [X2,X3] :
( big_r(X2,X2)
<=> big_r(X3,X2) ) )
=> ( ? [X4] : big_r(X4,X4)
=> ! [X5] : big_r(X5,X5) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ? [X5] : ~ big_r(X5,X5)
& ? [X4] : big_r(X4,X4)
& ! [X0,X1] :
( big_r(X0,X0)
<=> big_r(X0,X1) )
& ! [X2,X3] :
( big_r(X2,X2)
<=> big_r(X3,X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ? [X5] : ~ big_r(X5,X5)
& ? [X4] : big_r(X4,X4)
& ! [X0,X1] :
( big_r(X0,X0)
<=> big_r(X0,X1) )
& ! [X2,X3] :
( big_r(X2,X2)
<=> big_r(X3,X2) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( ? [X5] : ~ big_r(X5,X5)
& ? [X4] : big_r(X4,X4)
& ! [X0,X1] :
( ( big_r(X0,X0)
| ~ big_r(X0,X1) )
& ( big_r(X0,X1)
| ~ big_r(X0,X0) ) )
& ! [X2,X3] :
( ( big_r(X2,X2)
| ~ big_r(X3,X2) )
& ( big_r(X3,X2)
| ~ big_r(X2,X2) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f6,plain,
( ? [X0] : ~ big_r(X0,X0)
& ? [X1] : big_r(X1,X1)
& ! [X2,X3] :
( ( big_r(X2,X2)
| ~ big_r(X2,X3) )
& ( big_r(X2,X3)
| ~ big_r(X2,X2) ) )
& ! [X4,X5] :
( ( big_r(X4,X4)
| ~ big_r(X5,X4) )
& ( big_r(X5,X4)
| ~ big_r(X4,X4) ) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ~ big_r(sK0,sK0)
& big_r(sK1,sK1)
& ! [X2,X3] :
( ( big_r(X2,X2)
| ~ big_r(X2,X3) )
& ( big_r(X2,X3)
| ~ big_r(X2,X2) ) )
& ! [X4,X5] :
( ( big_r(X4,X4)
| ~ big_r(X5,X4) )
& ( big_r(X5,X4)
| ~ big_r(X4,X4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f6]) ).
fof(f9,plain,
! [X4,X5] :
( big_r(X4,X4)
| ~ big_r(X5,X4) ),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X2,X3] :
( big_r(X2,X3)
| ~ big_r(X2,X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
big_r(sK1,sK1),
inference(cnf_transformation,[],[f7]) ).
fof(f13,plain,
~ big_r(sK0,sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
! [X0] : ~ big_r(X0,sK0),
inference(resolution,[],[f9,f13]) ).
fof(f18,plain,
! [X0] : ~ big_r(X0,X0),
inference(resolution,[],[f10,f15]) ).
fof(f19,plain,
$false,
inference(resolution,[],[f18,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN366+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n020.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 15:49:49 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 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
% 0.09/0.23 % (265371)Will run a generic schedule for satisfiability detection.
% 0.09/0.23 % (265382)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4215022084:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.23 % (265382) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-265371-265382"...
% 0.09/0.23 % (265382)...printing done.
% 0.09/0.23 % (265382)Refutation found. Thanks to Tanya!
% 0.09/0.23 % SZS status Theorem for theBenchmark
% 0.09/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.23 % (265382)------------------------------
% 0.09/0.23 % (265382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.23 % (265382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.23 % (265382)CaDiCaL version: 2.1.3
% 0.09/0.23 % (265382)Termination reason: Refutation
% 0.09/0.23 % (265382)Time elapsed: 0.001 s
% 0.09/0.23 % (265382)Peak memory usage: 11 MB
% 0.09/0.23 % (265382)Instructions burned: 1 (million)
% 0.09/0.23 % (265371)Success in time 0.027 s
% 0.09/0.23 % Vampire exiting
%------------------------------------------------------------------------------