%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN331+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 02:07:20 PM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 38 ( 7 ~; 9 |; 10 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 23 ( 17 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0,X1] :
! [X2] :
( big_f(X0,X2)
=> ( big_f(X1,X2)
=> ( ( big_f(X0,X1)
<=> big_f(X2,X2) )
=> ( ( big_f(X1,X0)
| big_f(X2,X2) )
=> ( big_f(X2,X0)
| big_f(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_14_3) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
! [X2] :
( big_f(X0,X2)
=> ( big_f(X1,X2)
=> ( ( big_f(X0,X1)
<=> big_f(X2,X2) )
=> ( ( big_f(X1,X0)
| big_f(X2,X2) )
=> ( big_f(X2,X0)
| big_f(X2,X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X0,X1] :
? [X2] :
( ~ big_f(X2,X0)
& ~ big_f(X2,X1)
& ( big_f(X1,X0)
| big_f(X2,X2) )
& ( big_f(X0,X1)
<=> big_f(X2,X2) )
& big_f(X1,X2)
& big_f(X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0,X1] :
? [X2] :
( ~ big_f(X2,X0)
& ~ big_f(X2,X1)
& ( big_f(X1,X0)
| big_f(X2,X2) )
& ( big_f(X0,X1)
<=> big_f(X2,X2) )
& big_f(X1,X2)
& big_f(X0,X2) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X0,X1] :
( big_f(sK0(X0,X1),sK0(X0,X1))
| big_f(X1,X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),sK0(X0,X1))
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f10,plain,
! [X0,X1] : ~ big_f(sK0(X0,X1),X1),
inference(cnf_transformation,[],[f4]) ).
fof(f12,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_f(X1,X0) ),
inference(resolution,[],[f6,f5]) ).
fof(f18,plain,
! [X0] : big_f(X0,X0),
inference(factoring,[],[f12]) ).
fof(f19,plain,
! [X0,X1] : big_f(X0,X1),
inference(backward_subsumption_resolution,[],[f6,f18]) ).
fof(f20,plain,
$false,
inference(backward_subsumption_resolution,[],[f10,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN331+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:45:27 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.25 % (3964142)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (3964148)% WARNING: option uhcvi not known.
% 0.09/0.25 % (3964148)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=294647120:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.25 % (3964148) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3964142-3964148"...
% 0.09/0.25 % (3964148)...printing done.
% 0.09/0.25 % (3964148)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (3964148)------------------------------
% 0.09/0.25 % (3964148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (3964148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (3964148)CaDiCaL version: 2.1.3
% 0.09/0.25 % (3964148)Termination reason: Refutation
% 0.09/0.25 % (3964148)Time elapsed: 0.001 s
% 0.09/0.25 % (3964148)Peak memory usage: 11 MB
% 0.09/0.25 % (3964148)Instructions burned: 1 (million)
% 0.09/0.25 % (3964142)Success in time 0.033 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------