%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM697^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 : Wed Sep 30 08:19:20 AM UTC 2026
% Result : Theorem 0.34s 0.43s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 18 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 89 ( 9 ~; 4 |; 0 &; 73 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
x: nat ).
thf(func_def_1,type,
y: nat ).
thf(func_def_2,type,
more: nat > nat > $o ).
thf(func_def_4,type,
moreis: nat > nat > $o ).
thf(func_def_5,type,
suc: nat > nat ).
thf(func_def_6,type,
pl: nat > nat > nat ).
thf(func_def_7,type,
n_1: nat ).
thf(f1,axiom,
more @ y @ x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
thf(f2,axiom,
! [X0: nat,X1: nat] :
( ( more @ X1 @ X0 )
=> ( moreis @ X1 @ ( pl @ X0 @ n_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz25) ).
thf(f3,axiom,
! [X0: nat] :
( ( pl @ X0 @ n_1 )
= ( suc @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz4a) ).
thf(f4,conjecture,
moreis @ y @ ( suc @ x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz25a) ).
thf(f5,negated_conjecture,
~ ( moreis @ y @ ( suc @ x ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
more @ y @ x,
inference(rectify,[],[f1]) ).
thf(f7,plain,
( ( more @ y @ x )
= $true ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
! [X0: nat,X1: nat] :
( ( more @ X1 @ X0 )
=> ( moreis @ X1 @ ( pl @ X0 @ n_1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f9,plain,
! [X0: nat,X1: nat] :
( ( ( more @ X1 @ X0 )
= $true )
=> ( ( moreis @ X1 @ ( pl @ X0 @ n_1 ) )
= $true ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
~ ( moreis @ y @ ( suc @ x ) ),
inference(rectify,[],[f5]) ).
thf(f11,plain,
( ( moreis @ y @ ( suc @ x ) )
!= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
( ( moreis @ y @ ( suc @ x ) )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f13,plain,
! [X0: nat,X1: nat] :
( ( ( moreis @ X1 @ ( pl @ X0 @ n_1 ) )
= $true )
| ( ( more @ X1 @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f9]) ).
thf(f14,plain,
( ( more @ y @ x )
= $true ),
inference(cnf_transformation,[],[f7]) ).
thf(f15,plain,
! [X0: nat,X1: nat] :
( ( ( moreis @ X1 @ ( pl @ X0 @ n_1 ) )
= $true )
| ( ( more @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f16,plain,
! [X0: nat] :
( ( pl @ X0 @ n_1 )
= ( suc @ X0 ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f17,plain,
( ( moreis @ y @ ( suc @ x ) )
!= $true ),
inference(cnf_transformation,[],[f12]) ).
thf(f32,plain,
! [X0: nat,X1: nat] :
( ( ( more @ X1 @ X0 )
!= $true )
| ( $true
= ( moreis @ X1 @ ( suc @ X0 ) ) ) ),
inference(forward_demodulation,[],[f15,f16]) ).
thf(f34,plain,
( ( $true != $true )
| ( ( moreis @ y @ ( suc @ x ) )
= $true ) ),
inference(constrained_superposition,[],[f32,f14]) ).
thf(f35,plain,
( ( moreis @ y @ ( suc @ x ) )
= $true ),
inference(trivial_inequality_removal,[],[f34]) ).
thf(f37,plain,
$false,
inference(forward_subsumption_resolution,[],[f35,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM697^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.30 % Computer : n011.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8046.5625MB
% 0.12/0.30 % OS : Linux 6.8.0-71-generic
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Tue Sep 29 12:41:02 UTC 2026
% 0.27/0.31 % CPUTime :
% 0.27/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.27/0.36 Running first-order model finding
% 0.27/0.36 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
% 0.34/0.43 % (33395)Will run a generic schedule for satisfiability detection.
% 0.34/0.43 % (33400)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2160059573_2999 on theBenchmark for (2999ds/0Mi)
% 0.34/0.43 % Exception at run slice level
% 0.34/0.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.34/0.43 % (33401)% WARNING: option uhcvi not known.
% 0.34/0.43 % (33401)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2524891746:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.34/0.43 % (33402)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3650673895:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.34/0.43 % (33404)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=995076998:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.34/0.43 % (33403)dis+10_1_sil=32000:sp=arity:random_seed=1644926650:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.34/0.43 % (33401)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.34/0.43 % (33406)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2817852155:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.34/0.43 % (33404)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.34/0.43 % (33401)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.34/0.43 % (33404) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-33395-33404"...
% 0.34/0.43 % (33401) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-33395-33401"...
% 0.34/0.43 % (33403) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-33395-33403"...
% 0.34/0.43 % (33406) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-33395-33406"...
% 0.34/0.43 % (33402) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-33395-33402"...
% 0.34/0.43 % (33401)...printing done.
% 0.34/0.43 % (33404)...printing done.
% 0.34/0.43 % (33403)...printing done.
% 0.34/0.43 % (33406)...printing done.
% 0.34/0.43 % (33402)...printing done.
% 0.34/0.43 % (33405)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1028045269:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.34/0.43 % (33403)Refutation found. Thanks to Tanya!
% 0.34/0.43 % SZS status Theorem for theBenchmark
% 0.34/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.34/0.43 % (33403)------------------------------
% 0.34/0.43 % (33403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (33403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (33403)CaDiCaL version: 2.1.3
% 0.34/0.43 % (33403)Termination reason: Refutation
% 0.34/0.43 % (33403)Time elapsed: 0.003 s
% 0.34/0.43 % (33403)Peak memory usage: 12 MB
% 0.34/0.43 % (33403)Instructions burned: 2 (million)
% 0.34/0.43 % (33395)Success in time 0.057 s
% 0.34/0.43 % Vampire exiting
%------------------------------------------------------------------------------