%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN066+1 : TPTP v9.3.1. Bugfixed v3.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 02:06:38 PM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 10 unt; 2 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 47 ( 22 ~; 15 |; 4 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 33 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
? [X1] :
! [X2] :
? [X3] :
( ( big_p(X2,X0)
=> big_p(X3,X1) )
& big_p(X3,X0)
& ( big_p(X3,X1)
=> ? [X4] : big_q(X4,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel37_1) ).
fof(f2,axiom,
! [X0,X1] :
( ~ big_p(X0,X1)
=> ? [X2] : big_q(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel37_2) ).
fof(f3,axiom,
( ? [X0,X1] : big_q(X0,X1)
=> ! [X2] : big_r(X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel37_3) ).
fof(f4,conjecture,
! [X0] :
? [X1] : big_r(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel37) ).
fof(f5,negated_conjecture,
~ ! [X0] :
? [X1] : big_r(X0,X1),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
! [X0] :
? [X1] :
! [X2] :
? [X3] :
( ( big_p(X3,X1)
| ~ big_p(X2,X0) )
& big_p(X3,X0)
& ( ? [X4] : big_q(X4,X1)
| ~ big_p(X3,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( ? [X2] : big_q(X2,X1)
| big_p(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f8,plain,
( ! [X2] : big_r(X2,X2)
| ! [X0,X1] : ~ big_q(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f9,plain,
? [X0] :
! [X1] : ~ big_r(X0,X1),
inference(ennf_transformation,[],[f5]) ).
fof(f11,plain,
! [X2,X0] :
( big_q(sK2(X0),sK0(X0))
| ~ big_p(sK1(X0,X2),sK0(X0)) ),
inference(cnf_transformation,[],[f6]) ).
fof(f13,plain,
! [X0,X1] :
( big_q(sK3(X1),X1)
| big_p(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ big_q(X0,X1)
| big_r(X2,X2) ),
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X1] : ~ big_r(sK4,X1),
inference(cnf_transformation,[],[f9]) ).
fof(f17,definition,
( spl5_1
<=> ! [X2] : big_r(X2,X2) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f18,plain,
( ! [X2] : big_r(X2,X2)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f20,definition,
( spl5_2
<=> ! [X0,X1] : ~ big_q(X0,X1) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f21,plain,
( ! [X0,X1] : ~ big_q(X0,X1)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f22,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f14,f20,f17]) ).
fof(f23,plain,
( ! [X0,X1] : big_p(X0,X1)
| ~ spl5_2 ),
inference(resolution,[],[f13,f21]) ).
fof(f24,plain,
( ! [X0,X1] : ~ big_p(sK1(X0,X1),sK0(X0))
| ~ spl5_2 ),
inference(resolution,[],[f11,f21]) ).
fof(f25,plain,
( $false
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f24,f23]) ).
fof(f26,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f25]) ).
fof(f27,plain,
( $false
| ~ spl5_1 ),
inference(resolution,[],[f18,f15]) ).
fof(f28,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f27]) ).
cnf(s1,plain,
( spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f22]) ).
cnf(s2,plain,
~ spl5_2,
inference(sat_conversion,[],[f26]) ).
cnf(s3,plain,
~ spl5_1,
inference(sat_conversion,[],[f28]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f29,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN066+1 : TPTP v9.3.1. Bugfixed v3.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n005.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 15:27:31 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.25 % (866275)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (866284)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3164709955:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.25 % (866284) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-866275-866284"...
% 0.08/0.25 % (866284)...printing done.
% 0.08/0.25 % (866284)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (866284)------------------------------
% 0.08/0.25 % (866284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (866284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (866284)CaDiCaL version: 2.1.3
% 0.08/0.25 % (866284)Termination reason: Refutation
% 0.08/0.25 % (866284)Time elapsed: 0.001 s
% 0.08/0.25 % (866284)Peak memory usage: 12 MB
% 0.08/0.25 % (866284)Instructions burned: 1 (million)
% 0.08/0.25 % (866275)Success in time 0.025 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------