%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN409+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 : n010.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 02:07:47 PM UTC 2026
% Result : Theorem 0.08s 0.24s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 6 unt; 4 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 58 ( 23 ~; 25 |; 3 &)
% ( 6 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] : f(X0)
<=> ! [X1,X2] :
( f(X1)
& f(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish246) ).
fof(f2,negated_conjecture,
~ ( ! [X0] : f(X0)
<=> ! [X1,X2] :
( f(X1)
& f(X2) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X0] : f(X0)
<~> ! [X1,X2] :
( f(X1)
& f(X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ~ f(sK2)
| ~ f(sK1)
| ~ f(sK0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f6,plain,
! [X0,X1] :
( f(X1)
| f(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f8,definition,
( spl3_1
<=> f(sK0) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f10,plain,
( ~ f(sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f12,definition,
( spl3_2
<=> f(sK1) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f14,plain,
( ~ f(sK1)
| spl3_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f16,definition,
( spl3_3
<=> f(sK2) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f18,plain,
( ~ f(sK2)
| spl3_3 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f19,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4,f16,f12,f8]) ).
fof(f21,definition,
( spl3_4
<=> ! [X0] : f(X0) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f22,plain,
( ! [X0] : f(X0)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,plain,
( spl3_4
| spl3_4 ),
inference(avatar_split_clause,[],[f6,f21,f21]) ).
fof(f25,plain,
( $false
| spl3_1
| ~ spl3_4 ),
inference(backward_subsumption_resolution,[],[f10,f22]) ).
fof(f26,plain,
( spl3_1
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f25]) ).
fof(f27,plain,
( $false
| spl3_2
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f14,f22]) ).
fof(f28,plain,
( spl3_2
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f27]) ).
fof(f29,plain,
( $false
| spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f18,f22]) ).
fof(f30,plain,
( spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f29]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(sat_conversion,[],[f19]) ).
cnf(s4,plain,
( spl3_4
| spl3_4 ),
inference(sat_conversion,[],[f24]) ).
cnf(s5,plain,
spl3_4,
inference(rat,[],[s4]) ).
cnf(s6,plain,
( spl3_1
| ~ spl3_4 ),
inference(sat_conversion,[],[f26]) ).
cnf(s7,plain,
( spl3_2
| ~ spl3_4 ),
inference(sat_conversion,[],[f28]) ).
cnf(s8,plain,
( spl3_3
| ~ spl3_4 ),
inference(sat_conversion,[],[f30]) ).
cnf(s9,plain,
spl3_3,
inference(rat,[],[s8,s5]) ).
cnf(s10,plain,
spl3_2,
inference(rat,[],[s7,s5]) ).
cnf(s11,plain,
spl3_1,
inference(rat,[],[s6,s5]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s9,s10,s11]) ).
fof(f31,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN409+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n010.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 15:55:02 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 0.08/0.24 % (2038177)Will run a generic schedule for satisfiability detection.
% 0.08/0.24 % (2038183)% WARNING: option uhcvi not known.
% 0.08/0.24 % (2038183)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2801013047:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.24 % (2038183) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2038177-2038183"...
% 0.08/0.24 % (2038183)...printing done.
% 0.08/0.24 % (2038183)Refutation found. Thanks to Tanya!
% 0.08/0.24 % SZS status Theorem for theBenchmark
% 0.08/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24 % (2038183)------------------------------
% 0.08/0.24 % (2038183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (2038183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (2038183)CaDiCaL version: 2.1.3
% 0.08/0.24 % (2038183)Termination reason: Refutation
% 0.08/0.24 % (2038183)Time elapsed: 0.001 s
% 0.08/0.24 % (2038183)Peak memory usage: 12 MB
% 0.08/0.24 % (2038177)Success in time 0.034 s
% 0.08/0.24 % Vampire exiting
%------------------------------------------------------------------------------