%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN352+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 : n026.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 02:07:26 PM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 65 ( 16 ~; 19 |; 10 &)
% ( 4 <=>; 12 =>; 0 <=; 4 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 32 ( 22 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
? [X2,X3] :
! [X4] :
( big_f(X0,X1)
=> ( ( big_f(X2,X3)
=> ( big_f(X1,X4)
| big_f(X3,X4) ) )
=> ( ( ( big_f(X2,X3)
=> ( big_f(X1,X4)
<=> big_f(X2,X4) ) )
=> big_f(X4,X4) )
=> ( big_f(X2,X3)
& ( big_f(X2,X4)
<=> big_f(X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_18_4) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
? [X2,X3] :
! [X4] :
( big_f(X0,X1)
=> ( ( big_f(X2,X3)
=> ( big_f(X1,X4)
| big_f(X3,X4) ) )
=> ( ( ( big_f(X2,X3)
=> ( big_f(X1,X4)
<=> big_f(X2,X4) ) )
=> big_f(X4,X4) )
=> ( big_f(X2,X3)
& ( big_f(X2,X4)
<=> big_f(X3,X4) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0,X1] :
! [X2,X3] :
? [X4] :
( ( ~ big_f(X2,X3)
| ( big_f(X2,X4)
<~> big_f(X3,X4) ) )
& ( big_f(X4,X4)
| ( ( big_f(X1,X4)
<~> big_f(X2,X4) )
& big_f(X2,X3) ) )
& ( big_f(X1,X4)
| big_f(X3,X4)
| ~ big_f(X2,X3) )
& big_f(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
? [X0,X1] :
! [X2,X3] :
? [X4] :
( ( ~ big_f(X2,X3)
| ( big_f(X2,X4)
<~> big_f(X3,X4) ) )
& ( big_f(X4,X4)
| ( ( big_f(X1,X4)
<~> big_f(X2,X4) )
& big_f(X2,X3) ) )
& ( big_f(X1,X4)
| big_f(X3,X4)
| ~ big_f(X2,X3) )
& big_f(X0,X1) ),
inference(flattening,[],[f3]) ).
fof(f7,plain,
! [X2,X3] :
( big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3))
| ~ big_f(X2,X3) ),
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
! [X2,X3] :
( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3))
| ~ big_f(X2,X3) ),
inference(cnf_transformation,[],[f4]) ).
fof(f9,plain,
! [X2,X3] :
( big_f(sK2(X2,X3),sK2(X2,X3))
| big_f(X2,X3) ),
inference(cnf_transformation,[],[f4]) ).
fof(f12,plain,
! [X0] :
( big_f(X0,sK2(X0,X0))
| ~ big_f(X0,X0) ),
inference(factoring,[],[f7]) ).
fof(f18,plain,
! [X0] :
( ~ big_f(X0,X0)
| ~ big_f(X0,sK2(X0,X0))
| ~ big_f(X0,X0) ),
inference(resolution,[],[f12,f8]) ).
fof(f19,plain,
! [X0] :
( ~ big_f(X0,X0)
| ~ big_f(X0,sK2(X0,X0)) ),
inference(duplicate_literal_removal,[],[f18]) ).
fof(f21,plain,
! [X0] : ~ big_f(X0,X0),
inference(forward_subsumption_resolution,[],[f19,f12]) ).
fof(f30,plain,
! [X0,X1] : big_f(X0,X1),
inference(resolution,[],[f21,f9]) ).
fof(f34,plain,
$false,
inference(resolution,[],[f30,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN352+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:49:57 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.26 % (3970777)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (3970790)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3804838557:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (3970790) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3970777-3970790"...
% 0.09/0.26 % (3970790)...printing done.
% 0.09/0.26 % (3970790)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (3970790)------------------------------
% 0.09/0.26 % (3970790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (3970790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (3970790)CaDiCaL version: 2.1.3
% 0.09/0.26 % (3970790)Termination reason: Refutation
% 0.09/0.26 % (3970790)Time elapsed: 0.001 s
% 0.09/0.26 % (3970790)Peak memory usage: 11 MB
% 0.09/0.26 % (3970790)Instructions burned: 1 (million)
% 0.09/0.26 % (3970777)Success in time 0.037 s
% 0.33/0.26 % Vampire exiting
%------------------------------------------------------------------------------