%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN347-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 02:07:25 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 7 unt; 7 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 121 ( 57 ~; 57 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( f(X0,y(X0,X1))
| ~ f(X1,y(X0,X1))
| f(a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( ~ f(X0,y(X0,X1))
| f(X1,y(X0,X1))
| f(a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ f(X0,y(X0,X1))
| ~ f(X1,y(X0,X1))
| ~ f(a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( f(X0,y(X0,X1))
| f(X1,y(X0,X1))
| ~ f(a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( f(b,y(X0,X1))
| f(a,y(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ f(b,y(X0,X1))
| ~ f(a,y(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f8,definition,
( spl0_1
<=> f(a,b) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f12,definition,
( spl0_2
<=> ! [X0,X1] :
( f(X0,y(X0,X1))
| f(X1,y(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f13,plain,
( ! [X0,X1] :
( f(X1,y(X0,X1))
| f(X0,y(X0,X1)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f14,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f12,f8]) ).
fof(f16,definition,
( spl0_3
<=> ! [X0,X1] :
( ~ f(X0,y(X0,X1))
| ~ f(X1,y(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f17,plain,
( ! [X0,X1] :
( ~ f(X0,y(X0,X1))
| ~ f(X1,y(X0,X1)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f18,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f3,f16,f8]) ).
fof(f20,definition,
( spl0_4
<=> ! [X0,X1] :
( ~ f(X0,y(X0,X1))
| f(X1,y(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f21,plain,
( ! [X0,X1] :
( f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f22,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f2,f20,f8]) ).
fof(f24,definition,
( spl0_5
<=> ! [X0,X1] :
( f(X0,y(X0,X1))
| ~ f(X1,y(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f25,plain,
( ! [X0,X1] :
( f(X0,y(X0,X1))
| ~ f(X1,y(X0,X1)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f26,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f1,f24,f8]) ).
fof(f28,plain,
( ! [X0] :
( ~ f(X0,y(X0,b))
| ~ f(a,y(X0,b)) )
| ~ spl0_4 ),
inference(resolution,[],[f21,f6]) ).
fof(f33,plain,
( ~ f(a,y(a,b))
| ~ spl0_4 ),
inference(factoring,[],[f28]) ).
fof(f34,plain,
( ~ f(b,y(a,b))
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f33,f25]) ).
fof(f35,plain,
( f(a,y(a,b))
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f34,f5]) ).
fof(f37,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f35,f33]) ).
fof(f38,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f37]) ).
fof(f42,definition,
( spl0_6
<=> f(a,y(b,b)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f46,definition,
( spl0_7
<=> f(b,y(b,b)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f47,plain,
( ~ f(b,y(b,b))
| spl0_7 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f48,plain,
( f(b,y(b,b))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f51,plain,
( f(b,y(b,b))
| ~ spl0_2
| spl0_7 ),
inference(resolution,[],[f47,f13]) ).
fof(f53,plain,
( spl0_7
| ~ spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f51,f46,f12,f46]) ).
fof(f55,plain,
( ~ f(a,y(b,b))
| ~ spl0_7 ),
inference(resolution,[],[f48,f6]) ).
fof(f61,plain,
( ! [X0] : ~ f(X0,y(X0,X0))
| ~ spl0_3 ),
inference(factoring,[],[f17]) ).
fof(f67,plain,
( f(a,y(b,b))
| ~ spl0_3 ),
inference(resolution,[],[f61,f5]) ).
fof(f69,plain,
( spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f67,f16,f42]) ).
fof(f70,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f55,f46,f42]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f14]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f18]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f22]) ).
cnf(s4,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f26]) ).
cnf(s5,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f38]) ).
cnf(s7,plain,
( spl0_7
| ~ spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f53]) ).
cnf(s8,plain,
( ~ spl0_2
| spl0_7 ),
inference(rat,[],[s7]) ).
cnf(s11,plain,
( ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f69]) ).
cnf(s12,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f70]) ).
cnf(s13,plain,
spl0_1,
inference(rat,[],[s5,s3,s4]) ).
cnf(s14,plain,
spl0_3,
inference(rat,[],[s2,s13]) ).
cnf(s15,plain,
spl0_2,
inference(rat,[],[s1,s13]) ).
cnf(s16,plain,
spl0_6,
inference(rat,[],[s11,s14]) ).
cnf(s17,plain,
spl0_7,
inference(rat,[],[s8,s15]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s12,s17,s16]) ).
fof(f71,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN347-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:45:41 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.25 % (2510552)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (2510563)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=777847060:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.25 % (2510563) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2510552-2510563"...
% 0.08/0.25 % (2510563)...printing done.
% 0.08/0.25 % (2510563)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (2510563)------------------------------
% 0.08/0.25 % (2510563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (2510563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (2510563)CaDiCaL version: 2.1.3
% 0.08/0.25 % (2510563)Termination reason: Refutation
% 0.08/0.25 % (2510563)Time elapsed: 0.001 s
% 0.08/0.25 % (2510563)Peak memory usage: 12 MB
% 0.08/0.25 % (2510563)Instructions burned: 2 (million)
% 0.08/0.25 % (2510552)Success in time 0.027 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------