%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI602_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:34:57 AM UTC 2026
% Result : Theorem 0.22s 0.36s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 16 ( 7 ~; 2 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 38 ( 16 atm; 0 fun; 12 num; 10 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 1 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 7 !; 3 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(f1,conjecture,
( ! [X0: $int] : $greater(f(X0),X0)
=> ? [X1: $int] :
( $less(4,X1)
& $less(X1,f(5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fX_gt_X_implies_exist_ineq) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] : $greater(f(X0),X0)
=> ? [X1: $int] :
( $less(4,X1)
& $less(X1,f(5)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ! [X0: $int] : $less(X0,f(X0))
=> ? [X1: $int] :
( $less(4,X1)
& $less(X1,f(5)) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f16,plain,
( ! [X1: $int] :
( ~ $less(4,X1)
| ~ $less(X1,f(5)) )
& ! [X0: $int] : $less(X0,f(X0)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f17,plain,
! [X1: $int] :
( ~ $less(X1,f(5))
| ~ $less(4,X1) ),
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
! [X0: $int] : $less(X0,f(X0)),
inference(cnf_transformation,[],[f16]) ).
tff(f19,plain,
~ $less(4,5),
inference(resolution,[],[f17,f18]) ).
tff(f20,plain,
$false,
inference(evaluation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI602_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.28 % Computer : n002.cluster.edu
% 0.22/0.28 % Model : x86_64 x86_64
% 0.22/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.28 % Memory : 8046.5625MB
% 0.22/0.28 % OS : Linux 6.8.0-71-generic
% 0.22/0.28 % CPULimit : 300
% 0.22/0.28 % WCLimit : 300
% 0.22/0.28 % DateTime : Mon Sep 28 20:55:52 UTC 2026
% 0.22/0.28 % CPUTime :
% 0.22/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.33 Running first-order model finding
% 0.22/0.33 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
% 0.22/0.36 % (748768)Will run a generic schedule for satisfiability detection.
% 0.22/0.36 % (748774)% WARNING: option uhcvi not known.
% 0.22/0.36 % (748774)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=720780480:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.22/0.36 % (748774) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-748768-748774"...
% 0.22/0.36 % (748774)...printing done.
% 0.22/0.36 % (748774)Refutation found. Thanks to Tanya!
% 0.22/0.36 % SZS status Theorem for theBenchmark
% 0.22/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.36 % (748774)------------------------------
% 0.22/0.36 % (748774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (748774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (748774)CaDiCaL version: 2.1.3
% 0.22/0.36 % (748774)Termination reason: Refutation
% 0.22/0.36 % (748774)Time elapsed: 0.001 s
% 0.22/0.36 % (748774)Peak memory usage: 12 MB
% 0.22/0.36 % (748768)Success in time 0.025 s
% 0.22/0.36 % Vampire exiting
%------------------------------------------------------------------------------