%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN070-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 02:06:40 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.33s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 9 unt; 4 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 135 ( 62 ~; 69 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( big_f(f(X0))
| ~ big_f(X0)
| big_g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
! [X0] :
( big_h(f(X0),X0)
| ~ big_f(X0)
| big_g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,axiom,
! [X0] :
( ~ big_g(f(X0))
| ~ big_f(X0)
| big_g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,axiom,
! [X0] :
( ~ big_f(X0)
| big_g(X0)
| big_f(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,axiom,
! [X0] :
( ~ big_f(X0)
| big_g(X0)
| ~ big_g(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
! [X0,X1] :
( ~ big_f(X0)
| big_g(X0)
| ~ big_f(X1)
| big_g(X1)
| big_j(a,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,axiom,
! [X0,X1] :
( ~ big_j(X1,X0)
| ~ big_f(X1)
| ~ big_h(X0,X1)
| ~ big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
big_f(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
~ big_g(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f22,definition,
( spl0_4
<=> big_f(a) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f24,plain,
( big_f(a)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f29,definition,
( spl0_6
<=> ! [X0] :
( ~ big_f(X0)
| big_g(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f30,plain,
( ! [X0] :
( ~ big_f(X0)
| big_g(X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f31,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f4,f29,f22]) ).
fof(f35,definition,
( spl0_7
<=> big_g(a) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f37,plain,
( ~ big_g(a)
| spl0_7 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f38,plain,
( ~ spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f5,f29,f35]) ).
fof(f39,plain,
( big_g(b)
| ~ spl0_6 ),
inference(resolution,[],[f30,f8]) ).
fof(f41,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f39,f9]) ).
fof(f42,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f41]) ).
fof(f60,definition,
( spl0_12
<=> ! [X1] :
( ~ big_f(X1)
| big_j(a,X1)
| big_g(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f61,plain,
( ! [X1] :
( big_j(a,X1)
| ~ big_f(X1)
| big_g(X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f62,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f29,f60]) ).
fof(f82,plain,
( ! [X0] :
( ~ big_f(X0)
| big_g(X0)
| ~ big_f(a)
| ~ big_h(X0,a)
| ~ big_f(X0) )
| ~ spl0_12 ),
inference(resolution,[],[f61,f7]) ).
fof(f83,plain,
( ! [X0] :
( ~ big_f(X0)
| big_g(X0)
| ~ big_f(a)
| ~ big_h(X0,a) )
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f82]) ).
fof(f84,plain,
( ! [X0] :
( ~ big_h(X0,a)
| big_g(X0)
| ~ big_f(X0) )
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f83,f24]) ).
fof(f86,plain,
( big_g(f(a))
| ~ big_f(f(a))
| ~ big_f(a)
| big_g(a)
| ~ spl0_4
| ~ spl0_12 ),
inference(resolution,[],[f84,f2]) ).
fof(f95,plain,
( ~ big_f(f(a))
| ~ big_f(a)
| big_g(a)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f86,f3]) ).
fof(f97,plain,
( ~ big_f(a)
| big_g(a)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f95,f1]) ).
fof(f98,plain,
( big_g(a)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f97,f24]) ).
fof(f99,plain,
( $false
| ~ spl0_4
| spl0_7
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f98,f37]) ).
fof(f100,plain,
( ~ spl0_4
| spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f99]) ).
cnf(s22,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f31]) ).
cnf(s29,plain,
( spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f38]) ).
cnf(s33,plain,
~ spl0_6,
inference(sat_conversion,[],[f42]) ).
cnf(s55,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f62]) ).
cnf(s73,plain,
( ~ spl0_4
| spl0_7
| ~ spl0_12 ),
inference(sat_conversion,[],[f100]) ).
cnf(s74,plain,
spl0_12,
inference(rat,[],[s55,s33]) ).
cnf(s77,plain,
~ spl0_7,
inference(rat,[],[s29,s33]) ).
cnf(s78,plain,
~ spl0_4,
inference(rat,[],[s73,s74,s77]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s22,s33,s78]) ).
fof(f101,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN070-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 % Computer : n011.cluster.edu
% 0.09/0.24 % Model : x86_64 x86_64
% 0.09/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.24 % Memory : 8046.5625MB
% 0.09/0.24 % OS : Linux 6.8.0-71-generic
% 0.09/0.24 % CPULimit : 300
% 0.09/0.24 % WCLimit : 300
% 0.09/0.24 % DateTime : Mon Sep 28 15:29:01 UTC 2026
% 0.09/0.25 % CPUTime :
% 0.09/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.29 Running first-order model finding
% 0.09/0.29 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
% 0.26/0.33 % (3468579)Will run a generic schedule for satisfiability detection.
% 0.26/0.33 % (3468586)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3934312054:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.26/0.33 % (3468586) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3468579-3468586"...
% 0.26/0.33 % (3468586)...printing done.
% 0.26/0.33 % (3468586)Refutation found. Thanks to Tanya!
% 0.26/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.33 % (3468586)------------------------------
% 0.26/0.33 % (3468586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.33 % (3468586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.33 % (3468586)CaDiCaL version: 2.1.3
% 0.26/0.33 % (3468586)Termination reason: Refutation
% 0.26/0.33 % (3468586)Time elapsed: 0.002 s
% 0.26/0.33 % (3468586)Peak memory usage: 12 MB
% 0.26/0.33 % (3468586)Instructions burned: 2 (million)
% 0.26/0.33 % (3468579)Success in time 0.021 s
% 0.26/0.33 % Vampire exiting
%------------------------------------------------------------------------------