%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM702^1 : 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 : n026.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 08:19:21 AM UTC 2026
% Result : Theorem 0.12s 0.28s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 103 ( 26 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 141 ( 12 ~; 7 |; 0 &; 116 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 5 con; 0-4 aty)
% Number of variables : 31 ( 9 ^; 22 !; 0 ?; 31 :)
% 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,
some: ( nat > $o ) > $o ).
thf(func_def_3,type,
diffprop: nat > nat > nat > $o ).
thf(func_def_4,type,
pl: nat > nat > nat ).
thf(func_def_5,type,
n_1: nat ).
thf(func_def_7,type,
moreis: nat > nat > $o ).
thf(func_def_8,type,
lessis: nat > nat > $o ).
thf(func_def_9,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,axiom,
( some
@ ^ [X0: nat] : ( diffprop @ ( pl @ y @ n_1 ) @ x @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).
thf(f2,axiom,
! [X0: nat,X1: nat] :
( ( lessis @ X0 @ X1 )
=> ( moreis @ X1 @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz14) ).
thf(f3,axiom,
! [X0: nat,X1: nat] :
( ( some
@ ^ [X2: nat] : ( diffprop @ ( pl @ X0 @ n_1 ) @ X1 @ X2 ) )
=> ( lessis @ X1 @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz26) ).
thf(f4,conjecture,
moreis @ y @ x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz26b) ).
thf(f5,negated_conjecture,
~ ( moreis @ y @ x ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
( some
@ ^ [X0: nat] : ( diffprop @ ( pl @ y @ n_1 ) @ x @ X0 ) ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
( ( some
@ ^ [Y0: nat] : ( diffprop @ ( pl @ y @ n_1 ) @ x @ Y0 ) )
= $true ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
! [X0: nat,X1: nat] :
( ( lessis @ X0 @ X1 )
=> ( moreis @ X1 @ X0 ) ),
inference(rectify,[],[f2]) ).
thf(f9,plain,
! [X0: nat,X1: nat] :
( ( ( lessis @ X0 @ X1 )
= $true )
=> ( ( moreis @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: nat,X1: nat] :
( ( some
@ ^ [X2: nat] : ( diffprop @ ( pl @ X0 @ n_1 ) @ X1 @ X2 ) )
=> ( lessis @ X1 @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
! [X0: nat,X1: nat] :
( ( $true
= ( some
@ ^ [Y0: nat] : ( diffprop @ ( pl @ X0 @ n_1 ) @ X1 @ Y0 ) ) )
=> ( ( lessis @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
~ ( moreis @ y @ x ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
( ( moreis @ y @ x )
!= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
( ( moreis @ y @ x )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f15,plain,
! [X0: nat,X1: nat] :
( ( ( moreis @ X1 @ X0 )
= $true )
| ( ( lessis @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f9]) ).
thf(f16,plain,
! [X0: nat,X1: nat] :
( ( ( lessis @ X1 @ X0 )
= $true )
| ( $true
!= ( some
@ ^ [Y0: nat] : ( diffprop @ ( pl @ X0 @ n_1 ) @ X1 @ Y0 ) ) ) ),
inference(ennf_transformation,[],[f11]) ).
thf(f17,plain,
( ( some
@ ^ [Y0: nat] : ( diffprop @ ( pl @ y @ n_1 ) @ x @ Y0 ) )
= $true ),
inference(cnf_transformation,[],[f7]) ).
thf(f18,plain,
! [X0: nat,X1: nat] :
( ( ( lessis @ X0 @ X1 )
!= $true )
| ( ( moreis @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f19,plain,
! [X0: nat,X1: nat] :
( ( ( lessis @ X1 @ X0 )
= $true )
| ( $true
!= ( some
@ ^ [Y0: nat] : ( diffprop @ ( pl @ X0 @ n_1 ) @ X1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f20,plain,
( ( moreis @ y @ x )
!= $true ),
inference(cnf_transformation,[],[f14]) ).
thf(f23,plain,
! [X0: nat,X1: nat] :
( ( $true
!= ( some @ ( diffprop @ ( pl @ X0 @ n_1 ) @ X1 ) ) )
| ( ( lessis @ X1 @ X0 )
= $true ) ),
inference(beta-eta_normalization,[],[f19]) ).
thf(f24,plain,
( $true
= ( some @ ( diffprop @ ( pl @ y @ n_1 ) @ x ) ) ),
inference(beta-eta_normalization,[],[f17]) ).
thf(f44,plain,
( ( $true != $true )
| ( $true
= ( lessis @ x @ y ) ) ),
inference(constrained_superposition,[],[f23,f24]) ).
thf(f45,plain,
( $true
= ( lessis @ x @ y ) ),
inference(trivial_inequality_removal,[],[f44]) ).
thf(f49,plain,
( ( $true != $true )
| ( ( moreis @ y @ x )
= $true ) ),
inference(constrained_superposition,[],[f18,f45]) ).
thf(f50,plain,
( ( moreis @ y @ x )
= $true ),
inference(trivial_inequality_removal,[],[f49]) ).
thf(f53,plain,
$false,
inference(forward_subsumption_resolution,[],[f50,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM702^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.18 % Computer : n026.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Tue Sep 29 12:44:57 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.22 Running first-order model finding
% 0.12/0.22 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
% 0.12/0.28 % (541101)Will run a generic schedule for satisfiability detection.
% 0.12/0.28 % (541107)% WARNING: option uhcvi not known.
% 0.12/0.28 % (541106)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=530979191_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.28 % (541107)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2155033428:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.28 % (541108)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3881692457:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.28 % (541109)dis+10_1_sil=32000:sp=arity:random_seed=2145763661:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.28 % (541107)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.12/0.28 % (541110)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3162858576:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.28 % Exception at run slice level% (541107)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.12/0.28
% 0.12/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.28 % (541110)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.12/0.28 % (541107) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-541101-541107"...
% 0.12/0.28 % (541109) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-541101-541109"...
% 0.12/0.28 % (541110) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-541101-541110"...
% 0.12/0.28 % (541107)...printing done.
% 0.12/0.28 % (541109)...printing done.
% 0.12/0.28 % (541110)...printing done.
% 0.12/0.28 % (541108) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-541101-541108"...
% 0.12/0.28 % (541107)Refutation found. Thanks to Tanya!
% 0.12/0.28 % SZS status Theorem for theBenchmark
% 0.12/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.28 % (541107)------------------------------
% 0.12/0.28 % (541107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.28 % (541107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.28 % (541107)CaDiCaL version: 2.1.3
% 0.12/0.28 % (541107)Termination reason: Refutation
% 0.12/0.28 % (541107)Time elapsed: 0.003 s
% 0.12/0.28 % (541107)Peak memory usage: 12 MB
% 0.12/0.28 % (541107)Instructions burned: 3 (million)
% 0.12/0.28 % (541101)Success in time 0.049 s
% 0.12/0.28 % Vampire exiting
%------------------------------------------------------------------------------