%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN325+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 : 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 02:07:18 PM UTC 2026
% Result : Theorem 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 26 ( 7 ~; 5 |; 8 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 12 ( 9 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
! [X1] :
( ( ( big_f(X0,X0)
=> big_f(X1,X1) )
=> ( big_f(X0,X1)
& big_g(X0) ) )
=> big_g(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_9_2) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X1] :
( ( ( big_f(X0,X0)
=> big_f(X1,X1) )
=> ( big_f(X0,X1)
& big_g(X0) ) )
=> big_g(X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X0] :
? [X1] :
( ~ big_g(X1)
& ( ( big_f(X0,X1)
& big_g(X0) )
| ( ~ big_f(X1,X1)
& big_f(X0,X0) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0] :
( ~ big_g(sK0(X0))
& ( ( big_f(X0,sK0(X0))
& big_g(X0) )
| ( ~ big_f(sK0(X0),sK0(X0))
& big_f(X0,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f3]) ).
fof(f5,plain,
! [X0] :
( big_f(X0,X0)
| big_g(X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X0] :
( ~ big_f(sK0(X0),sK0(X0))
| big_g(X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f9,plain,
! [X0] : ~ big_g(sK0(X0)),
inference(cnf_transformation,[],[f4]) ).
fof(f10,plain,
! [X0] :
( big_g(X0)
| big_g(sK0(X0)) ),
inference(resolution,[],[f6,f5]) ).
fof(f11,plain,
! [X0] : big_g(X0),
inference(forward_subsumption_resolution,[],[f10,f9]) ).
fof(f12,plain,
$false,
inference(resolution,[],[f11,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN325+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n005.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 15:42:16 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.07/0.26 % (890877)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (890885)dis+10_1_sil=32000:sp=arity:random_seed=3376583389:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.26 % (890885) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-890877-890885"...
% 0.07/0.26 % (890885)...printing done.
% 0.07/0.26 % (890883)% WARNING: option uhcvi not known.
% 0.07/0.26 % (890885)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Theorem for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26 % (890885)------------------------------
% 0.07/0.26 % (890885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (890885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (890885)CaDiCaL version: 2.1.3
% 0.07/0.26 % (890885)Termination reason: Refutation
% 0.07/0.26 % (890885)Time elapsed: 0.001 s
% 0.07/0.26 % (890885)Peak memory usage: 11 MB
% 0.07/0.26 % (890877)Success in time 0.027 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------