%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO884^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 08:50:30 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.31s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 6 unt; 0 typ; 2 def)
% Number of atoms : 762 ( 50 equ; 0 cnn)
% Maximal formula atoms : 8 ( 29 avg)
% Number of connectives : 832 ( 62 ~; 48 |; 0 &; 720 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 300 ( 300 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 6 con; 0-6 aty)
% Number of variables : 97 ( 56 sgn 25 !; 0 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
f: $i > $i > $i > $i > $i > $i > $i ).
thf(func_def_5,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
db8:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db9:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
db10:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
db11:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,axiom,
! [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) )
| ( ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(f2,plain,
! [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) )
| ( ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f14,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X4: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( f @ b @ a @ c @ c @ c @ c )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i,Y10: $i,Y11: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 @ Y10 @ Y11 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 @ Y10 @ Y11 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 @ Y10 @ Y11 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 @ Y10 @ Y11 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 @ Y10 @ Y11 )
@ ( ^ [Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i,Y20: $i,Y21: $i,Y22: $i,Y23: $i] : c
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9
@ Y10
@ Y11 ) )
@ a
@ b
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c ) )
| ( a
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X4 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X3 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X2 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(equality_resolution,[],[f2]) ).
thf(f15,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X4: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( f @ b @ a @ c @ c @ c @ c )
!= ( f @ ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) @ ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) @ ( X2 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) @ ( X3 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) @ ( X4 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) @ c ) )
| ( a
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X4 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X3 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X2 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(beta-eta_normalization,[],[f14]) ).
thf(f27,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( a
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i,Y10: $i,Y11: $i] : Y1
@ c
@ a
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c ) )
| ( c
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i,Y10: $i,Y11: $i] : Y2
@ c
@ a
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c ) )
| ( c
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X2 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( a
!= ( X2 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(equality_resolution,[],[f15]) ).
thf(f91,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( a != a )
| ( c != c )
| ( c
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X2 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( a
!= ( X2 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(beta-eta_normalization,[],[f27]) ).
thf(f92,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( c
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X2 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( a
!= ( X2 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(trivial_inequality_removal,[],[f91]) ).
thf(f94,definition,
( spl0_1
<=> ! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( c
!= ( X2 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( a
!= ( X2 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f95,plain,
( ! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( c
!= ( X2 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( a
!= ( X2 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f94]) ).
thf(f97,definition,
( spl0_2
<=> ! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f98,plain,
( ! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c @ c @ c @ c ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f97]) ).
thf(f124,plain,
( spl0_1
| spl0_2
| spl0_2 ),
inference(avatar_split_clause,[],[f92,f97,f97,f94]) ).
thf(f126,plain,
( ( c
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i,Y10: $i,Y11: $i] : Y2
@ a
@ b
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c ) )
| ~ spl0_2 ),
inference(equality_resolution,[],[f98]) ).
thf(f167,plain,
( ( c != c )
| ~ spl0_2 ),
inference(beta-eta_normalization,[],[f126]) ).
thf(f168,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f167]) ).
thf(f169,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f168]) ).
thf(f171,plain,
( ( a
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i,Y10: $i,Y11: $i] : Y0
@ a
@ b
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c
@ c ) )
| ~ spl0_1 ),
inference(equality_resolution,[],[f95]) ).
thf(f194,plain,
( ( a != a )
| ~ spl0_1 ),
inference(beta-eta_normalization,[],[f171]) ).
thf(f195,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f194]) ).
thf(f196,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f195]) ).
cnf(s43,plain,
( spl0_2
| spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f124]) ).
cnf(s44,plain,
( spl0_1
| spl0_2 ),
inference(rat,[],[s43]) ).
cnf(s55,plain,
~ spl0_2,
inference(sat_conversion,[],[f169]) ).
cnf(s56,plain,
~ spl0_1,
inference(sat_conversion,[],[f196]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s44,s55,s56]) ).
thf(f197,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO884^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n018.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 17:26:56 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 0.20/0.31 % (380091)Will run a generic schedule for satisfiability detection.
% 0.20/0.31 % (380097)% WARNING: option uhcvi not known.
% 0.20/0.31 % (380099)dis+10_1_sil=32000:sp=arity:random_seed=3175928623:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.31 % (380096)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2005621000_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.31 % (380097)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3676876216:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.31 % (380097)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.31 % (380097)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.31 % Exception at run slice level
% 0.20/0.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.31 % (380098)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3734818134:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.31 % (380101)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3842847970:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.31 % (380102)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2802386030:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.31 % (380100)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=988585388:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.31 % (380100)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.31 % (380106)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2381076658:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.31 % Exception at run slice level
% 0.20/0.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.31 % (380099) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-380091-380099"...
% 0.20/0.31 % (380097) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-380091-380097"...
% 0.20/0.31 % (380099)...printing done.
% 0.20/0.31 % (380097)...printing done.
% 0.20/0.31 % (380099)Refutation found. Thanks to Tanya!
% 0.20/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.31 % (380099)------------------------------
% 0.20/0.31 % (380099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (380099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (380099)CaDiCaL version: 2.1.3
% 0.20/0.31 % (380099)Termination reason: Refutation
% 0.20/0.31 % (380099)Time elapsed: 0.032 s
% 0.20/0.31 % (380099)Peak memory usage: 13 MB
% 0.20/0.31 % (380099)Instructions burned: 74 (million)
% 0.20/0.32 % (380091)Success in time 0.068 s
% 0.20/0.32 % Vampire exiting
%------------------------------------------------------------------------------