%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO501_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 02:31:21 PM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 4 unt; 0 typ; 3 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 46 ( 23 ~; 19 |; 1 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 36 ( 36 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 7 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_1,type,
f: ( $i * $o ) > $i ).
tff(f1,conjecture,
( ~ p(f(x,y))
| p(f(x,y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',claim) ).
tff(f2,negated_conjecture,
~ ( ~ p(f(x,y))
| p(f(x,y)) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ~ p(f(x,y))
| p(f(x,y)) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
( p(f(x,y))
& ~ p(f(x,y)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
( ~ y
| p(f(x,$true)) ),
inference(cnf_transformation,[],[f4]) ).
tff(f6,plain,
( y
| p(f(x,$false)) ),
inference(cnf_transformation,[],[f4]) ).
tff(f7,plain,
( ~ y
| ~ p(f(x,$true)) ),
inference(cnf_transformation,[],[f4]) ).
tff(f8,plain,
( y
| ~ p(f(x,$false)) ),
inference(cnf_transformation,[],[f4]) ).
tff(f11,plain,
( ~ y
| p(f(x,$false)) ),
inference(consistent_polarity_flipping,[],[f8]) ).
tff(f12,plain,
( y
| p(f(x,$true)) ),
inference(consistent_polarity_flipping,[],[f7]) ).
tff(f13,plain,
( ~ y
| ~ p(f(x,$false)) ),
inference(consistent_polarity_flipping,[],[f6]) ).
tff(f14,plain,
( y
| ~ p(f(x,$true)) ),
inference(consistent_polarity_flipping,[],[f5]) ).
tff(f16,definition,
( spl0_1
<=> p(f(x,$true)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f20,definition,
( spl0_2
<=> y ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f23,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f20,f16]) ).
tff(f25,definition,
( spl0_3
<=> p(f(x,$false)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f28,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f13,f20,f25]) ).
tff(f29,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f12,f20,f16]) ).
tff(f30,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f11,f20,f25]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f23]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f28]) ).
cnf(s3,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f29]) ).
cnf(s4,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f30]) ).
cnf(s5,plain,
~ spl0_2,
inference(rat,[],[s2,s4]) ).
cnf(s6,plain,
spl0_1,
inference(rat,[],[s3,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s5,s6]) ).
tff(f31,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO501_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 17:46:21 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.22/0.28 % (1388273)Will run a generic schedule for satisfiability detection.
% 0.22/0.28 % (1388287)% WARNING: option uhcvi not known.
% 0.22/0.28 % (1388287)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1044305286:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.28 % (1388287) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1388273-1388287"...
% 0.22/0.28 % (1388287)...printing done.
% 0.22/0.28 % (1388287)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Theorem for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.28 % (1388287)------------------------------
% 0.22/0.28 % (1388287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (1388287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (1388287)CaDiCaL version: 2.1.3
% 0.22/0.28 % (1388287)Termination reason: Refutation
% 0.22/0.28 % (1388287)Time elapsed: 0.001 s
% 0.22/0.28 % (1388287)Peak memory usage: 12 MB
% 0.22/0.28 % (1388273)Success in time 0.035 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------