%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV230^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 08:39:11 AM UTC 2026
% Result : Theorem 0.11s 0.28s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 130 ( 51 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 153 ( 24 ~; 17 |; 12 &; 72 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 0 ^; 46 !; 10 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
sK0: a > $o ).
thf(func_def_4,type,
sK1: a > $o ).
thf(func_def_5,type,
sK2: ( a > $o ) > $o ).
thf(func_def_6,type,
sK3: a > $o ).
thf(func_def_7,type,
sK4: a ).
thf(func_def_8,type,
vNOT: $o > $o ).
thf(f1,conjecture,
! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: ( a > $o ) > $o] :
( ! [X3: a > $o] :
( ( X2 @ X3 )
=> ! [X4: a] :
( ( X3 @ X4 )
=> ( X0 @ X4 ) ) )
=> ! [X3: a > $o] :
( ( X2 @ X3 )
=> ! [X4: a] :
( ( X3 @ X4 )
=> ( X1 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM88_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: ( a > $o ) > $o] :
( ! [X3: a > $o] :
( ( X2 @ X3 )
=> ! [X4: a] :
( ( X3 @ X4 )
=> ( X0 @ X4 ) ) )
=> ! [X3: a > $o] :
( ( X2 @ X3 )
=> ! [X4: a] :
( ( X3 @ X4 )
=> ( X1 @ X4 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X3: ( a > $o ) > $o] :
( ! [X4: a > $o] :
( ( X3 @ X4 )
=> ! [X5: a] :
( ( X4 @ X5 )
=> ( X0 @ X5 ) ) )
=> ! [X6: a > $o] :
( ( X3 @ X6 )
=> ! [X7: a] :
( ( X6 @ X7 )
=> ( X1 @ X7 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( ( X0 @ X2 )
= $true )
=> ( ( X1 @ X2 )
= $true ) )
=> ! [X3: ( a > $o ) > $o] :
( ! [X4: a > $o] :
( ( ( X3 @ X4 )
= $true )
=> ! [X5: a] :
( ( ( X4 @ X5 )
= $true )
=> ( ( X0 @ X5 )
= $true ) ) )
=> ! [X6: a > $o] :
( ( ( X3 @ X6 )
= $true )
=> ! [X7: a] :
( ( ( X6 @ X7 )
= $true )
=> ( ( X1 @ X7 )
= $true ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: a > $o,X1: a > $o] :
( ? [X3: ( a > $o ) > $o] :
( ? [X6: a > $o] :
( ? [X7: a] :
( ( ( X1 @ X7 )
!= $true )
& ( ( X6 @ X7 )
= $true ) )
& ( ( X3 @ X6 )
= $true ) )
& ! [X4: a > $o] :
( ! [X5: a] :
( ( ( X0 @ X5 )
= $true )
| ( ( X4 @ X5 )
!= $true ) )
| ( ( X3 @ X4 )
!= $true ) ) )
& ! [X2: a] :
( ( ( X1 @ X2 )
= $true )
| ( ( X0 @ X2 )
!= $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: a > $o,X1: a > $o] :
( ? [X2: ( a > $o ) > $o] :
( ? [X3: a > $o] :
( ? [X4: a] :
( ( ( X1 @ X4 )
!= $true )
& ( ( X3 @ X4 )
= $true ) )
& ( ( X2 @ X3 )
= $true ) )
& ! [X5: a > $o] :
( ! [X6: a] :
( ( $true
= ( X0 @ X6 ) )
| ( $true
!= ( X5 @ X6 ) ) )
| ( $true
!= ( X2 @ X5 ) ) ) )
& ! [X7: a] :
( ( ( X1 @ X7 )
= $true )
| ( $true
!= ( X0 @ X7 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ( $true
!= ( sK1 @ sK4 ) )
& ( $true
= ( sK3 @ sK4 ) )
& ( $true
= ( sK2 @ sK3 ) )
& ! [X5: a > $o] :
( ! [X6: a] :
( ( $true
= ( sK0 @ X6 ) )
| ( $true
!= ( X5 @ X6 ) ) )
| ( $true
!= ( sK2 @ X5 ) ) )
& ! [X7: a] :
( ( $true
= ( sK1 @ X7 ) )
| ( $true
!= ( sK0 @ X7 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f6]) ).
thf(f8,plain,
! [X7: a] :
( ( $true
!= ( sK0 @ X7 ) )
| ( $true
= ( sK1 @ X7 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
! [X6: a,X5: a > $o] :
( ( $true
!= ( sK2 @ X5 ) )
| ( $true
!= ( X5 @ X6 ) )
| ( $true
= ( sK0 @ X6 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f10,plain,
( $true
= ( sK2 @ sK3 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f11,plain,
( $true
= ( sK3 @ sK4 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f12,plain,
( $true
!= ( sK1 @ sK4 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f15,plain,
! [X0: a] :
( ( $true != $true )
| ( $true
!= ( sK3 @ X0 ) )
| ( $true
= ( sK0 @ X0 ) ) ),
inference(constrained_superposition,[],[f9,f10]) ).
thf(f16,plain,
! [X0: a] :
( ( $true
!= ( sK3 @ X0 ) )
| ( $true
= ( sK0 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f15]) ).
thf(f33,plain,
( ( $true != $true )
| ( $true
= ( sK0 @ sK4 ) ) ),
inference(constrained_superposition,[],[f16,f11]) ).
thf(f36,plain,
( $true
= ( sK0 @ sK4 ) ),
inference(trivial_inequality_removal,[],[f33]) ).
thf(f37,plain,
( ( $true != $true )
| ( $true
= ( sK1 @ sK4 ) ) ),
inference(constrained_superposition,[],[f8,f36]) ).
thf(f38,plain,
( $true
= ( sK1 @ sK4 ) ),
inference(trivial_inequality_removal,[],[f37]) ).
thf(f39,plain,
$false,
inference(forward_subsumption_resolution,[],[f38,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV230^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.19 % Computer : n013.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Sep 29 15:22:36 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.23 Running first-order model finding
% 0.11/0.23 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
% 0.11/0.28 % (2245617)Will run a generic schedule for satisfiability detection.
% 0.11/0.28 % (2245627)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2348833728_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.28 % Exception at run slice level
% 0.11/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.28 % (2245628)% WARNING: option uhcvi not known.
% 0.11/0.28 % (2245628)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3513238980:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.28 % (2245629)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2182784534:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.28 % (2245631)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1890523401:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.28 % (2245628)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.11/0.28 % (2245631)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.11/0.28 % (2245628)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.11/0.28 % (2245628) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2245617-2245628"...
% 0.11/0.28 % (2245635)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=502076348:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.11/0.28 % Exception at run slice level
% 0.11/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.28 % (2245631) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2245617-2245631"...
% 0.11/0.28 % (2245629) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2245617-2245629"...
% 0.11/0.28 % (2245628)...printing done.
% 0.11/0.28 % (2245631)...printing done.
% 0.11/0.28 % (2245628)Refutation found. Thanks to Tanya!
% 0.11/0.28 % SZS status Theorem for theBenchmark
% 0.11/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.29 % (2245628)------------------------------
% 0.11/0.29 % (2245628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.29 % (2245628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.29 % (2245628)CaDiCaL version: 2.1.3
% 0.11/0.29 % (2245628)Termination reason: Refutation
% 0.11/0.29 % (2245628)Time elapsed: 0.003 s
% 0.11/0.29 % (2245628)Peak memory usage: 12 MB
% 0.11/0.29 % (2245628)Instructions burned: 3 (million)
% 0.11/0.29 % (2245617)Success in time 0.045 s
% 0.11/0.29 % Vampire exiting
%------------------------------------------------------------------------------