%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO260^5 : 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 : n018.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 08:49:37 AM UTC 2026
% Result : Theorem 0.08s 0.23s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 6 unt; 0 typ; 2 def)
% Number of atoms : 133 ( 41 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 163 ( 51 ~; 37 |; 16 &; 57 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 50 ( 2 sgn 33 !; 14 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_6,type,
sK3: $i > $o ).
thf(func_def_7,type,
vNOT: $o > $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,conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i > $o] :
? [X4: $i > $o,X5: $i > $o] :
( ( ~ ( X3 @ X2 )
| ( X4 @ X2 ) )
& ( ( X5 @ X1 )
| ( X3 @ X1 ) )
& ( ( X5 @ X0 )
| ( X4 @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM125A) ).
thf(f2,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i,X3: $i > $o] :
? [X4: $i > $o,X5: $i > $o] :
( ( ~ ( X3 @ X2 )
| ( X4 @ X2 ) )
& ( ( X5 @ X1 )
| ( X3 @ X1 ) )
& ( ( X5 @ X0 )
| ( X4 @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: $i,X1: $i,X2: $i,X3: $i > $o] :
? [X4: $i > $o,X5: $i > $o] :
( ( ~ ( X3 @ X2 )
| ( X4 @ X2 ) )
& ( ( X5 @ X1 )
| ( X3 @ X1 ) )
& ( ( X5 @ X0 )
| ( X4 @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: $i,X1: $i,X2: $i,X3: $i > $o] :
? [X4: $i > $o,X5: $i > $o] :
( ( ( ( X3 @ X2 )
!= $true )
| ( ( X4 @ X2 )
= $true ) )
& ( ( ( X5 @ X1 )
= $true )
| ( ( X3 @ X1 )
= $true ) )
& ( ( ( X5 @ X0 )
= $true )
| ( ( X4 @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
~ ! [X0: $i,X1: $i,X2: $i,X3: $i > $o] :
? [X4: $i > $o,X5: $i > $o] :
( ( ( ( X3 @ X2 )
!= $true )
| ( ( X4 @ X2 )
= $true ) )
& ( ( ( X5 @ X1 )
= $true )
| ( ( X3 @ X1 )
= $true ) )
& ( ( ( X5 @ X0 )
= $true )
| ( ( X4 @ X0 )
= $true ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
? [X0: $i,X1: $i,X2: $i,X3: $i > $o] :
! [X4: $i > $o,X5: $i > $o] :
( ( ( ( X3 @ X2 )
= $true )
& ( ( X4 @ X2 )
!= $true ) )
| ( ( ( X5 @ X1 )
!= $true )
& ( ( X3 @ X1 )
!= $true ) )
| ( ( ( X5 @ X0 )
!= $true )
& ( ( X4 @ X0 )
!= $true ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f7,plain,
! [X4: $i > $o,X5: $i > $o] :
( ( ( $true
= ( sK3 @ sK2 ) )
& ( $true
!= ( X4 @ sK2 ) ) )
| ( ( $true
!= ( X5 @ sK1 ) )
& ( $true
!= ( sK3 @ sK1 ) ) )
| ( ( $true
!= ( X5 @ sK0 ) )
& ( $true
!= ( X4 @ sK0 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f6]) ).
thf(f10,plain,
! [X4: $i > $o,X5: $i > $o] :
( ( $true
!= ( X4 @ sK2 ) )
| ( $true
!= ( X5 @ sK1 ) )
| ( $true
!= ( X4 @ sK0 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f23,definition,
( spl4_2
<=> ! [X4: $i > $o] :
( ( $true
!= ( X4 @ sK2 ) )
| ( $true
!= ( X4 @ sK0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
thf(f24,plain,
( ! [X4: $i > $o] :
( ( $true
!= ( X4 @ sK2 ) )
| ( $true
!= ( X4 @ sK0 ) ) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f23]) ).
thf(f34,definition,
( spl4_5
<=> ! [X5: $i > $o] :
( $true
!= ( X5 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
thf(f35,plain,
( ! [X5: $i > $o] :
( $true
!= ( X5 @ sK1 ) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f34]) ).
thf(f36,plain,
( spl4_5
| spl4_2 ),
inference(avatar_split_clause,[],[f10,f23,f34]) ).
thf(f64,plain,
( ! [X6: $i > $o] :
( $true
!= ( ^ [Y0: $i] :
~ ( X6 @ Y0 )
@ sK1 ) )
| ~ spl4_5 ),
inference(primitive_instantiation,[],[f35]) ).
thf(f67,plain,
( ! [X6: $i > $o] :
( $true
!= ( ~ ( X6 @ sK1 ) ) )
| ~ spl4_5 ),
inference(beta-eta_normalization,[],[f64]) ).
thf(f68,plain,
( ! [X6: $i > $o] :
( $true
= ( X6 @ sK1 ) )
| ~ spl4_5 ),
inference(not_proxy_clausification,[],[f67]) ).
thf(f73,plain,
( $false
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f68,f35]) ).
thf(f74,plain,
~ spl4_5,
inference(avatar_contradiction_clause,[],[f73]) ).
thf(f75,plain,
( ( $true
!= ( ^ [Y0: $i] : $true
@ sK2 ) )
| ( $true
!= ( ^ [Y0: $i] : $true
@ sK0 ) )
| ~ spl4_2 ),
inference(primitive_instantiation,[],[f24]) ).
thf(f93,plain,
( ( $true != $true )
| ( $true != $true )
| ~ spl4_2 ),
inference(beta-eta_normalization,[],[f75]) ).
thf(f94,plain,
( ( $true != $true )
| ~ spl4_2 ),
inference(duplicate_literal_removal,[],[f93]) ).
thf(f95,plain,
( $false
| ~ spl4_2 ),
inference(trivial_inequality_removal,[],[f94]) ).
thf(f96,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f95]) ).
cnf(s3,plain,
( spl4_2
| spl4_5 ),
inference(sat_conversion,[],[f36]) ).
cnf(s14,plain,
~ spl4_5,
inference(sat_conversion,[],[f74]) ).
cnf(s16,plain,
~ spl4_2,
inference(sat_conversion,[],[f96]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s3,s14,s16]) ).
thf(f99,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO260^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n018.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 16:44:12 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 Running first-order model finding
% 0.08/0.19 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
% 0.08/0.23 % (322202)Will run a generic schedule for satisfiability detection.
% 0.08/0.23 % (322208)% WARNING: option uhcvi not known.
% 0.08/0.23 % (322208)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2667919103:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.23 % (322208)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.23 % (322208)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.23 % (322208) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-322202-322208"...
% 0.08/0.23 % (322208)...printing done.
% 0.08/0.23 % (322208)Refutation found. Thanks to Tanya!
% 0.08/0.23 % SZS status Theorem for theBenchmark
% 0.08/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.23 % (322208)------------------------------
% 0.08/0.23 % (322208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.23 % (322208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.23 % (322208)CaDiCaL version: 2.1.3
% 0.08/0.23 % (322208)Termination reason: Refutation
% 0.08/0.23 % (322208)Time elapsed: 0.002 s
% 0.08/0.23 % (322208)Peak memory usage: 12 MB
% 0.08/0.23 % (322208)Instructions burned: 3 (million)
% 0.08/0.23 % (322202)Success in time 0.029 s
% 0.08/0.23 % Vampire exiting
%------------------------------------------------------------------------------