%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM659^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 08:19:14 AM UTC 2026
% Result : Theorem 0.25s 0.33s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 36 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 104 ( 26 ~; 9 |; 1 &; 56 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 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,
less: nat > nat > $o ).
thf(func_def_4,type,
more: nat > nat > $o ).
thf(func_def_7,type,
vNOT: $o > $o ).
thf(f1,axiom,
~ ( ~ ( less @ x @ y )
=> ( x = y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n) ).
thf(f3,axiom,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
=> ( ~ ( more @ X0 @ X1 )
=> ( less @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10a) ).
thf(f4,conjecture,
more @ x @ y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10k) ).
thf(f5,negated_conjecture,
~ ( more @ x @ y ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
~ ( ~ ( less @ x @ y )
=> ( x = y ) ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
~ ( ( ( less @ x @ y )
!= $true )
=> ( x = y ) ),
inference(fool_elimination,[],[f6]) ).
thf(f10,plain,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
=> ( ~ ( more @ X0 @ X1 )
=> ( less @ X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
=> ( ( ( more @ X0 @ X1 )
!= $true )
=> ( ( less @ X0 @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
~ ( more @ x @ y ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
( ( more @ x @ y )
!= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
~ ( ( ( less @ x @ y )
!= $true )
=> ( x = y ) ),
inference(flattening,[],[f7]) ).
thf(f16,plain,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
=> ( ( ( more @ X0 @ X1 )
!= $true )
=> ( ( less @ X0 @ X1 )
= $true ) ) ),
inference(flattening,[],[f11]) ).
thf(f17,plain,
( ( more @ x @ y )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f18,plain,
( ( x != y )
& ( ( less @ x @ y )
!= $true ) ),
inference(ennf_transformation,[],[f14]) ).
thf(f20,plain,
! [X0: nat,X1: nat] :
( ( ( less @ X0 @ X1 )
= $true )
| ( ( more @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f16]) ).
thf(f21,plain,
! [X0: nat,X1: nat] :
( ( ( less @ X0 @ X1 )
= $true )
| ( ( more @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(flattening,[],[f20]) ).
thf(f22,plain,
( ( less @ x @ y )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f23,plain,
x != y,
inference(cnf_transformation,[],[f18]) ).
thf(f25,plain,
! [X0: nat,X1: nat] :
( ( ( more @ X0 @ X1 )
= $true )
| ( ( less @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f26,plain,
( ( more @ x @ y )
!= $true ),
inference(cnf_transformation,[],[f17]) ).
thf(f41,plain,
( ( $true != $true )
| ( ( less @ x @ y )
= $true )
| ( x = y ) ),
inference(constrained_superposition,[],[f26,f25]) ).
thf(f42,plain,
( ( ( less @ x @ y )
= $true )
| ( x = y ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f43,plain,
x = y,
inference(forward_subsumption_resolution,[],[f42,f22]) ).
thf(f44,plain,
$false,
inference(forward_subsumption_resolution,[],[f43,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM659^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 % Computer : n006.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Tue Sep 29 12:32:24 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.28 Running first-order model finding
% 0.25/0.28 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
% 0.25/0.33 % (647367)Will run a generic schedule for satisfiability detection.
% 0.25/0.33 % (647372)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=537087178_3000 on theBenchmark for (3000ds/0Mi)
% 0.25/0.33 % Exception at run slice level
% 0.25/0.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.25/0.33 % (647373)% WARNING: option uhcvi not known.
% 0.25/0.33 % (647373)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2838250792:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.25/0.33 % (647375)dis+10_1_sil=32000:sp=arity:random_seed=863232373:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.25/0.33 % (647374)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1721796233:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.25/0.33 % (647377)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3341773612:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.25/0.33 % (647376)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2132550779:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.25/0.33 % (647373)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.25/0.33 % (647378)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3137426187:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.25/0.33 % (647373)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.25/0.33 % (647376)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.25/0.33 % (647373) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-647367-647373"...
% 0.25/0.33 % (647377) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-647367-647377"...
% 0.25/0.33 % (647375) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-647367-647375"...
% 0.25/0.33 % (647376) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-647367-647376"...
% 0.25/0.33 % (647380)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1934298501:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.25/0.33 % Exception at run slice level
% 0.25/0.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.25/0.33 % (647374) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-647367-647374"...
% 0.25/0.33 % (647378) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-647367-647378"...
% 0.25/0.33 % (647373)...printing done.
% 0.25/0.33 % (647377)...printing done.
% 0.25/0.33 % (647375)...printing done.
% 0.25/0.33 % (647376)...printing done.
% 0.25/0.33 % (647374)...printing done.
% 0.25/0.33 % (647373)Refutation found. Thanks to Tanya!
% 0.25/0.33 % SZS status Theorem for theBenchmark
% 0.25/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.33 % (647373)------------------------------
% 0.25/0.33 % (647373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.33 % (647373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.33 % (647373)CaDiCaL version: 2.1.3
% 0.25/0.33 % (647373)Termination reason: Refutation
% 0.25/0.33 % (647373)Time elapsed: 0.003 s
% 0.25/0.33 % (647373)Peak memory usage: 12 MB
% 0.25/0.33 % (647373)Instructions burned: 2 (million)
% 0.25/0.33 % (647367)Success in time 0.04 s
% 0.25/0.33 % Vampire exiting
%------------------------------------------------------------------------------