%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW499_5 : TPTP v9.3.1. Released v6.0.0.
% 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 01:40:20 PM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 1 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 7 ( 4 !; 3 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
complex: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
int: $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
poly: $tType > $tType ).
tff(type_def_10,type,
real: $tType ).
tff(func_def_0,type,
fundam1563812824_csqrt: complex > complex ).
tff(func_def_1,type,
fundam1280195782_psize:
!>[X0: $tType] : ( poly(X0) > nat ) ).
tff(func_def_2,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_4,type,
bit0: int > int ).
tff(func_def_5,type,
bit1: int > int ).
tff(func_def_6,type,
pls: int ).
tff(func_def_7,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_8,type,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_9,type,
fFalse: bool ).
tff(func_def_10,type,
fTrue: bool ).
tff(func_def_11,type,
n: nat ).
tff(func_def_12,type,
na: nat ).
tff(func_def_13,type,
sK0: nat > nat ).
tff(pred_def_1,type,
comm_ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
comm_semiring_0:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
idom:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
power:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
mult_zero:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
no_zero_divisors:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
comm_monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_18,type,
ab_semigroup_mult:
!>[X0: $tType] : $o ).
tff(pred_def_19,type,
ring_n68954251visors:
!>[X0: $tType] : $o ).
tff(pred_def_20,type,
ring_11004092258visors:
!>[X0: $tType] : $o ).
tff(pred_def_21,type,
ab_sem1668676832m_mult:
!>[X0: $tType] : $o ).
tff(pred_def_22,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_23,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_24,type,
even_odd_even:
!>[X0: $tType] : ( X0 > $o ) ).
tff(pred_def_25,type,
pp: bool > $o ).
tff(f1,axiom,
even_odd_even(nat,na),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_e) ).
tff(f26,axiom,
! [X0: nat] :
( even_odd_even(nat,X0)
<=> ? [X1: nat] : ( X0 = times_times(nat,number_number_of(nat,bit0(bit1(pls))),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_even__mult__two__ex) ).
tff(f192,conjecture,
? [X0: nat] : ( na = times_times(nat,number_number_of(nat,bit0(bit1(pls))),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f193,negated_conjecture,
~ ? [X0: nat] : ( na = times_times(nat,number_number_of(nat,bit0(bit1(pls))),X0) ),
inference(negated_conjecture,[status(cth)],[f192]) ).
tff(f269,plain,
! [X0: nat] : ( na != times_times(nat,number_number_of(nat,bit0(bit1(pls))),X0) ),
inference(ennf_transformation,[],[f193]) ).
tff(f270,plain,
even_odd_even(nat,na),
inference(cnf_transformation,[],[f1]) ).
tff(f300,plain,
! [X0: nat] :
( ~ even_odd_even(nat,X0)
| ( times_times(nat,number_number_of(nat,bit0(bit1(pls))),sK0(X0)) = X0 ) ),
inference(cnf_transformation,[],[f26]) ).
tff(f490,plain,
! [X0: nat] : ( na != times_times(nat,number_number_of(nat,bit0(bit1(pls))),X0) ),
inference(cnf_transformation,[],[f269]) ).
tff(f810,plain,
na = times_times(nat,number_number_of(nat,bit0(bit1(pls))),sK0(na)),
inference(resolution,[],[f300,f270]) ).
tff(f811,plain,
$false,
inference(forward_subsumption_resolution,[],[f810,f490]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW499_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 14:15:16 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.20/0.29 % (3405028)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (3405037)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2215890065:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (3405034)% WARNING: option uhcvi not known.
% 0.20/0.29 % (3405033)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2063339177_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (3405034)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=979526137:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (3405039)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1240160933:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % (3405035)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1066312876:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (3405036)dis+10_1_sil=32000:sp=arity:random_seed=2849090959:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (3405038)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1216553173:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (3405037) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3405028-3405037"...
% 0.20/0.29 % (3405037)...printing done.
% 0.20/0.29 % (3405037)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (3405037)------------------------------
% 0.20/0.29 % (3405037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3405037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3405037)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3405037)Termination reason: Refutation
% 0.20/0.29 % (3405037)Time elapsed: 0.008 s
% 0.20/0.29 % (3405037)Peak memory usage: 12 MB
% 0.20/0.29 % (3405037)Instructions burned: 23 (million)
% 0.20/0.29 % (3405028)Success in time 0.045 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------