%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN054+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 : n002.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 02:06:34 PM UTC 2026
% Result : Theorem 0.06s 0.24s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 7 unt; 2 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 61 ( 28 ~; 24 |; 4 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 13 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
~ ? [X0] :
( big_s(X0)
& big_q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_1) ).
fof(f2,axiom,
! [X0] :
( big_p(X0)
=> ( big_q(X0)
| big_r(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_2) ).
fof(f3,axiom,
( ~ ? [X0] : big_p(X0)
=> ? [X1] : big_q(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_3) ).
fof(f4,axiom,
! [X0] :
( ( big_q(X0)
| big_r(X0) )
=> big_s(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_4) ).
fof(f5,conjecture,
? [X0] :
( big_p(X0)
& big_r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24) ).
fof(f6,negated_conjecture,
~ ? [X0] :
( big_p(X0)
& big_r(X0) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
! [X0] :
( ~ big_s(X0)
| ~ big_q(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f8,plain,
! [X0] :
( big_q(X0)
| big_r(X0)
| ~ big_p(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0] :
( big_q(X0)
| big_r(X0)
| ~ big_p(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( ? [X1] : big_q(X1)
| ? [X0] : big_p(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f11,plain,
! [X0] :
( big_s(X0)
| ( ~ big_q(X0)
& ~ big_r(X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f12,plain,
! [X0] :
( ~ big_p(X0)
| ~ big_r(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f13,plain,
! [X0] :
( ~ big_q(X0)
| ~ big_s(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
! [X0] :
( ~ big_p(X0)
| big_r(X0)
| big_q(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
( big_p(sK0)
| big_q(sK1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f17,plain,
! [X0] :
( ~ big_q(X0)
| big_s(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X0] :
( ~ big_r(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f20,definition,
( spl2_1
<=> big_q(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f22,plain,
( big_q(sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f24,definition,
( spl2_2
<=> big_p(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f26,plain,
( big_p(sK0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f27,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f15,f24,f20]) ).
fof(f28,plain,
! [X0] :
( ~ big_p(X0)
| big_q(X0) ),
inference(forward_subsumption_resolution,[],[f14,f18]) ).
fof(f29,plain,
! [X0] : ~ big_q(X0),
inference(forward_subsumption_resolution,[],[f13,f17]) ).
fof(f30,plain,
( big_q(sK0)
| ~ spl2_2 ),
inference(resolution,[],[f26,f28]) ).
fof(f31,plain,
( $false
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f30,f29]) ).
fof(f32,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f31]) ).
fof(f33,plain,
( $false
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f22,f29]) ).
fof(f34,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f33]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f27]) ).
cnf(s2,plain,
~ spl2_2,
inference(sat_conversion,[],[f32]) ).
cnf(s3,plain,
~ spl2_1,
inference(sat_conversion,[],[f34]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f35,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN054+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18 % Computer : n002.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 15:28:59 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21 Running first-order model finding
% 0.06/0.21 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
% 0.06/0.24 % (449568)Will run a generic schedule for satisfiability detection.
% 0.06/0.24 % (449577)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1028829828:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.24 % (449577) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-449568-449577"...
% 0.06/0.24 % (449577)...printing done.
% 0.06/0.24 % (449577)Refutation found. Thanks to Tanya!
% 0.06/0.24 % SZS status Theorem for theBenchmark
% 0.06/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.24 % (449577)------------------------------
% 0.06/0.24 % (449577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.24 % (449577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.24 % (449577)CaDiCaL version: 2.1.3
% 0.06/0.24 % (449577)Termination reason: Refutation
% 0.06/0.24 % (449577)Time elapsed: 0.001 s
% 0.06/0.24 % (449577)Peak memory usage: 12 MB
% 0.06/0.24 % (449577)Instructions burned: 1 (million)
% 0.06/0.24 % (449568)Success in time 0.026 s
% 0.06/0.24 % Vampire exiting
%------------------------------------------------------------------------------