%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO883^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 0.23s 0.36s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 778 ( 46 equ; 0 cnn)
% Maximal formula atoms : 6 ( 51 avg)
% Number of connectives : 861 ( 46 ~; 32 |; 0 &; 783 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 288 ( 288 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 4 con; 0-6 aty)
% Number of variables : 95 ( 63 ^; 32 !; 0 ?; 95 :)
% 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,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,axiom,
! [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) )
| ( ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(f2,plain,
! [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) )
| ( ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f11,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X4: $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] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 )
@ ( ^ [Y9: $i,Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i] : c
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8 ) )
@ a
@ b
@ c
@ c
@ c
@ c
@ c
@ c
@ c ) )
| ( a
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X4 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X3 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X2 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(equality_resolution,[],[f2]) ).
thf(f12,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X4: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( c
!= ( X4 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( a
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( ( f @ b @ a @ c @ c @ c @ c )
!= ( f @ ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X2 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X3 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X4 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ c ) )
| ( c
!= ( X3 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X2 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(beta-eta_normalization,[],[f11]) ).
thf(f29,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( a
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( ( f @ b @ a @ c @ c @ c @ c )
!= ( f @ ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X2 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X3 @ a @ b @ 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] : c
@ a
@ b
@ c
@ c
@ c
@ c
@ c
@ c
@ c )
@ c ) )
| ( c
!= ( X3 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X2 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(equality_resolution,[],[f12]) ).
thf(f30,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( c
!= ( X3 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( ( f @ b @ a @ c @ c @ c @ c )
!= ( f @ ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X2 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X3 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ c @ c ) )
| ( a
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X2 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(beta-eta_normalization,[],[f29]) ).
thf(f47,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $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 ) @ ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X2 @ a @ b @ 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] : c
@ a
@ b
@ c
@ c
@ c
@ c
@ c
@ c
@ c )
@ c
@ c ) )
| ( a
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X2 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(equality_resolution,[],[f30]) ).
thf(f48,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( c
!= ( X2 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( a
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( ( f @ b @ a @ c @ c @ c @ c )
!= ( f @ ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X2 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ c @ c @ c ) )
| ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(beta-eta_normalization,[],[f47]) ).
thf(f65,plain,
! [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( a
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( ( f @ b @ a @ c @ c @ c @ c )
!= ( f @ ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X1 @ a @ b @ 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] : c
@ a
@ b
@ c
@ c
@ c
@ c
@ c
@ c
@ c )
@ c
@ c
@ c ) )
| ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(equality_resolution,[],[f48]) ).
thf(f66,plain,
! [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( c
!= ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) )
| ( ( f @ b @ a @ c @ c @ c @ c )
!= ( f @ ( X0 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c ) @ c @ c @ c @ c ) )
| ( a
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(beta-eta_normalization,[],[f65]) ).
thf(f75,plain,
! [X0: $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 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i] : Y0
@ a
@ b
@ c
@ c
@ c
@ c
@ c
@ c
@ c )
@ c
@ c
@ c
@ c ) )
| ( a
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(equality_resolution,[],[f66]) ).
thf(f92,plain,
! [X0: $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 ) @ a @ c @ c @ c @ c ) )
| ( a
!= ( X0 @ c @ a @ c @ c @ c @ c @ c @ c @ c ) ) ),
inference(beta-eta_normalization,[],[f75]) ).
thf(f93,plain,
( a
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i] : Y1
@ c
@ a
@ c
@ c
@ c
@ c
@ c
@ c
@ c ) ),
inference(equality_resolution,[],[f92]) ).
thf(f96,plain,
a != a,
inference(beta-eta_normalization,[],[f93]) ).
thf(f97,plain,
$false,
inference(trivial_inequality_removal,[],[f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO883^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 % Computer : n008.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Tue Sep 29 17:25:09 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.27 Running first-order model finding
% 0.08/0.27 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
% 0.23/0.36 % (3463227)Will run a generic schedule for satisfiability detection.
% 0.23/0.36 % (3463238)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1448988033:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.36 % (3463236)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2598977951:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.36 % (3463236)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.23/0.36 % (3463232)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=242193270_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.36 % Exception at run slice level
% 0.23/0.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.36 % (3463233)% WARNING: option uhcvi not known.
% 0.23/0.36 % (3463238) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3463227-3463238"...
% 0.23/0.36 % (3463237)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=453839317:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.36 % (3463235)dis+10_1_sil=32000:sp=arity:random_seed=2556986916:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.36 % (3463233)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2088149382:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.36 % (3463233)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.23/0.36 % (3463233)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.23/0.36 % (3463236) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3463227-3463236"...
% 0.23/0.36 % (3463234)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=927358700:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.36 % (3463238)...printing done.
% 0.23/0.36 % (3463238)Refutation found. Thanks to Tanya!
% 0.23/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.36 % (3463238)------------------------------
% 0.23/0.36 % (3463238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.36 % (3463238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.36 % (3463238)CaDiCaL version: 2.1.3
% 0.23/0.36 % (3463238)Termination reason: Refutation
% 0.23/0.36 % (3463238)Time elapsed: 0.030 s
% 0.23/0.36 % (3463238)Peak memory usage: 12 MB
% 0.23/0.36 % (3463238)Instructions burned: 40 (million)
% 0.23/0.36 % (3463227)Success in time 0.077 s
% 0.23/0.36 % Vampire exiting
%------------------------------------------------------------------------------