%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM343+1 : TPTP v9.3.1. Released v3.1.0.
% 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 12:18:22 PM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 32 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 35 ( 14 ~; 7 |; 11 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 ( 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f284,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( ~ less(X1,X0)
& X1 != X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_property) ).
fof(f402,conjecture,
? [X0] :
( ( less(nn1,X0)
& less(X0,n1) )
=> sum(n21,X0,n21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_something_n0_samething) ).
fof(f403,negated_conjecture,
~ ? [X0] :
( ( less(nn1,X0)
& less(X0,n1) )
=> sum(n21,X0,n21) ),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f450,plain,
! [X0] :
( ~ sum(n21,X0,n21)
& less(nn1,X0)
& less(X0,n1) ),
inference(ennf_transformation,[],[f403]) ).
fof(f451,plain,
! [X0] :
( ~ sum(n21,X0,n21)
& less(nn1,X0)
& less(X0,n1) ),
inference(flattening,[],[f450]) ).
fof(f452,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f284]) ).
fof(f453,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f452]) ).
fof(f738,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f453]) ).
fof(f859,plain,
! [X0] : less(X0,n1),
inference(cnf_transformation,[],[f451]) ).
fof(f871,plain,
! [X0] : n1 != X0,
inference(resolution,[],[f738,f859]) ).
fof(f873,plain,
$false,
inference(equality_resolution,[],[f871]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM343+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n011.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 19:35:31 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.48 % (2707244)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (2707254)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2877046737:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (2707250)% WARNING: option uhcvi not known.
% 0.18/0.48 % (2707254) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2707244-2707254"...
% 0.18/0.48 % (2707254)...printing done.
% 0.18/0.48 % (2707254)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (2707254)------------------------------
% 0.18/0.48 % (2707254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (2707254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (2707254)CaDiCaL version: 2.1.3
% 0.18/0.48 % (2707254)Termination reason: Refutation
% 0.18/0.48 % (2707254)Time elapsed: 0.004 s
% 0.18/0.48 % (2707254)Peak memory usage: 12 MB
% 0.18/0.48 % (2707254)Instructions burned: 14 (million)
% 0.18/0.48 % (2707244)Success in time 0.042 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------