%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN323+1 : TPTP v9.3.1. Released v2.0.0.
% 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 02:07:18 PM UTC 2026
% Result : Theorem 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 40 ( 16 ~; 6 |; 3 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 24 ( 21 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
( ! [X1] :
( ( big_f(X1,X0)
=> big_f(X0,X1) )
=> big_g(X1,X0) )
=> ~ ! [X1] :
( ( big_f(X1,X0)
=> big_f(X0,X1) )
=> ~ big_g(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_4_2) ).
fof(f2,negated_conjecture,
~ ? [X0] :
( ! [X1] :
( ( big_f(X1,X0)
=> big_f(X0,X1) )
=> big_g(X1,X0) )
=> ~ ! [X1] :
( ( big_f(X1,X0)
=> big_f(X0,X1) )
=> ~ big_g(X1,X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ? [X0] :
( ! [X1] :
( ( big_f(X1,X0)
=> big_f(X0,X1) )
=> big_g(X1,X0) )
=> ~ ! [X2] :
( ( big_f(X2,X0)
=> big_f(X0,X2) )
=> ~ big_g(X2,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
! [X0] :
( ! [X2] :
( ~ big_g(X2,X0)
| ( ~ big_f(X0,X2)
& big_f(X2,X0) ) )
& ! [X1] :
( big_g(X1,X0)
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
! [X2,X0] :
( big_f(X2,X0)
| ~ big_g(X2,X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X2,X0] :
( ~ big_f(X0,X2)
| ~ big_g(X2,X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
! [X0,X1] :
( big_f(X1,X0)
| big_g(X1,X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_g(X1,X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f9,plain,
! [X0,X1] : big_f(X1,X0),
inference(forward_subsumption_resolution,[],[f7,f5]) ).
fof(f10,plain,
! [X0,X1] : ~ big_f(X0,X1),
inference(forward_subsumption_resolution,[],[f8,f6]) ).
fof(f11,plain,
$false,
inference(forward_subsumption_resolution,[],[f10,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN323+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:42:16 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 0.21/0.27 % (3487062)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (3487075)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=250764151:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.21/0.27 % (3487075) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3487062-3487075"...
% 0.21/0.27 % (3487075)...printing done.
% 0.21/0.27 % (3487075)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Theorem for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (3487075)------------------------------
% 0.21/0.27 % (3487075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (3487075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (3487075)CaDiCaL version: 2.1.3
% 0.21/0.27 % (3487075)Termination reason: Refutation
% 0.21/0.27 % (3487075)Time elapsed: 0.001 s
% 0.21/0.27 % (3487075)Peak memory usage: 11 MB
% 0.21/0.27 % (3487062)Success in time 0.016 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------