%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP001^7 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 08:09:59 AM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 14 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 15 ( 8 ~; 3 |; 1 &; 0 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 41 ( 38 usr; 5 con; 0-4 aty)
% Number of variables : 12 ( 12 ^; 0 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
tyop_2Emin_2Ebool: $tType ).
thf(type_def_6,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_8,type,
tyop_2Emin_2Eind: $tType ).
thf(func_def_0,type,
c_2Ebool_2E_21:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_1,type,
c_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_2,type,
c_2Emin_2E_3D:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_3,type,
c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_4,type,
c_2Ebool_2E_3F:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_5,type,
c_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_6,type,
c_2Ebool_2E_7E: $o > $o ).
thf(func_def_8,type,
vNOT: $o > $o ).
thf(func_def_9,type,
c_2Ebool_2E_3F_21:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_10,type,
c_2Emin_2E_40:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_11,type,
c_2Ebool_2EBOUNDED: $o > $o ).
thf(func_def_12,type,
c_2Ebool_2ECOND:
!>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).
thf(func_def_13,type,
c_2Ebool_2EDATATYPE:
!>[X0: $tType] : ( X0 > $o ) ).
thf(func_def_14,type,
c_2Ebool_2EF: $o ).
thf(func_def_15,type,
c_2Ebool_2EIN:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_16,type,
c_2Ebool_2ELET:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 > X1 ) ).
thf(func_def_17,type,
c_2Ebool_2EONE__ONE:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > $o ) ).
thf(func_def_18,type,
c_2Ebool_2EONTO:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > $o ) ).
thf(func_def_19,type,
c_2Ebool_2ERES__EXISTS:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > $o ) ).
thf(func_def_20,type,
c_2Ebool_2ERES__EXISTS__UNIQUE:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > $o ) ).
thf(func_def_21,type,
c_2Ebool_2ERES__FORALL:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > $o ) ).
thf(func_def_22,type,
c_2Ebool_2ERES__SELECT:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_23,type,
c_2Ebool_2ET: $o ).
thf(func_def_24,type,
c_2Ebool_2ETYPE__DEFINITION:
!>[X0: $tType,X1: $tType] : ( ( X0 > $o ) > ( X1 > X0 ) > $o ) ).
thf(func_def_25,type,
c_2Ebool_2Eliteral__case:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 > X1 ) ).
thf(func_def_28,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_29,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_30,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_31,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_32,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
sK0:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_34,type,
sK1:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_35,type,
sK2:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_36,type,
sK3:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_37,type,
sK4: tyop_2Emin_2Eind > tyop_2Emin_2Eind ).
thf(func_def_38,type,
sK5: $o ).
thf(f19,axiom,
( c_2Ebool_2ET
<=> ( ( ^ [X0: $o] : X0 )
= ( ^ [X1: $o] : X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).
thf(f40,conjecture,
c_2Ebool_2ET,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(f41,negated_conjecture,
~ c_2Ebool_2ET,
inference(negated_conjecture,[status(cth)],[f40]) ).
thf(f75,plain,
( c_2Ebool_2ET
<=> ( ( ^ [X0: $o] : X0 )
= ( ^ [X1: $o] : X1 ) ) ),
inference(rectify,[],[f19]) ).
thf(f76,plain,
( ( c_2Ebool_2ET = $true )
<=> ( ( ^ [Y0: $o] : Y0 )
= ( ^ [Y0: $o] : Y0 ) ) ),
inference(fool_elimination,[],[f75]) ).
thf(f110,plain,
~ c_2Ebool_2ET,
inference(rectify,[],[f41]) ).
thf(f111,plain,
c_2Ebool_2ET != $true,
inference(fool_elimination,[],[f110]) ).
thf(f112,plain,
c_2Ebool_2ET != $true,
inference(flattening,[],[f111]) ).
thf(f143,plain,
( ( ( c_2Ebool_2ET = $true )
| ( ( ^ [Y0: $o] : Y0 )
!= ( ^ [Y0: $o] : Y0 ) ) )
& ( ( ( ^ [Y0: $o] : Y0 )
= ( ^ [Y0: $o] : Y0 ) )
| ( c_2Ebool_2ET != $true ) ) ),
inference(nnf_transformation,[],[f76]) ).
thf(f185,plain,
( ( c_2Ebool_2ET = $true )
| ( ( ^ [Y0: $o] : Y0 )
!= ( ^ [Y0: $o] : Y0 ) ) ),
inference(cnf_transformation,[],[f143]) ).
thf(f207,plain,
c_2Ebool_2ET != $true,
inference(cnf_transformation,[],[f112]) ).
thf(f259,plain,
c_2Ebool_2ET = $true,
inference(trivial_inequality_removal,[],[f185]) ).
thf(f304,plain,
$false,
inference(global_subsumption,[],[f259,f207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP001^7 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n016.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 19:23:07 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.21/0.29 % (787469)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (787478)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3063641693_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29 % Exception at run slice level
% 0.21/0.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.29 % (787479)% WARNING: option uhcvi not known.
% 0.21/0.29 % (787480)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4257392360:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29 % (787479)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3286451468:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29 % (787481)dis+10_1_sil=32000:sp=arity:random_seed=3566267272:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29 % (787484)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2057935639:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29 % (787482)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3377950864:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % (787483)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1034005627:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % (787479)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.21/0.29 % (787482)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.21/0.29 % (787479)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.21/0.29 % (787489)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3902415292:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.29 % (787480) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-787469-787480"...
% 0.21/0.29 % (787483) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-787469-787483"...
% 0.21/0.29 % (787482) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-787469-787482"...
% 0.21/0.29 % (787479) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-787469-787479"...
% 0.21/0.29 % (787481) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-787469-787481"...
% 0.21/0.29 % (787480)...printing done.
% 0.21/0.29 % Exception at run slice level
% 0.21/0.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.29 % (787483)...printing done.
% 0.21/0.29 % (787482)...printing done.
% 0.21/0.29 % (787479)...printing done.
% 0.21/0.29 % (787481)...printing done.
% 0.21/0.29 % (787484) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-787469-787484"...
% 0.21/0.29 % (787480)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (787480)------------------------------
% 0.21/0.29 % (787480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (787480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (787480)CaDiCaL version: 2.1.3
% 0.21/0.29 % (787480)Termination reason: Refutation
% 0.21/0.29 % (787480)Time elapsed: 0.007 s
% 0.21/0.29 % (787480)Peak memory usage: 12 MB
% 0.21/0.29 % (787480)Instructions burned: 12 (million)
% 0.21/0.29 % (787469)Success in time 0.05 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------