%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR150^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 07:47:22 AM UTC 2026
% Result : Theorem 0.71s 0.39s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 76 ( 24 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 92 ( 13 ~; 10 |; 4 &; 62 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 82 ( 79 usr; 3 con; 0-4 aty)
% Number of variables : 25 ( 6 ^; 15 !; 4 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
num: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
agent_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_2,type,
before_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_4,type,
disjointDecomposition_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_5,type,
disjointDecomposition_THFTYPE_IioI: $i > $o ).
thf(func_def_6,type,
disjointRelation_THFTYPE_IiIiioIoI: $i > ( $i > $i > $o ) > $o ).
thf(func_def_7,type,
disjointRelation_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_8,type,
disjoint_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_10,type,
domainSubclass_THFTYPE_IIiiiIiioI: ( $i > $i > $i ) > $i > $i > $o ).
thf(func_def_11,type,
domainSubclass_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_12,type,
domainSubclass_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(func_def_13,type,
domain_THFTYPE_IIIiiiIiioIiioI: ( ( $i > $i > $i ) > $i > $i > $o ) > $i > $i > $o ).
thf(func_def_14,type,
domain_THFTYPE_IIiiIiioI: ( $i > $i ) > $i > $i > $o ).
thf(func_def_15,type,
domain_THFTYPE_IIiiiIiioI: ( $i > $i > $i ) > $i > $i > $o ).
thf(func_def_16,type,
domain_THFTYPE_IIiiioIiioI: ( $i > $i > $i > $o ) > $i > $i > $o ).
thf(func_def_17,type,
domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_18,type,
domain_THFTYPE_IIiooIiioI: ( $i > $o > $o ) > $i > $i > $o ).
thf(func_def_19,type,
domain_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(func_def_20,type,
duration_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_22,type,
grandchild_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_23,type,
grandparent_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_25,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(func_def_26,type,
inList_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_27,type,
instance_THFTYPE_IIIiiiIiioIioI: ( ( $i > $i > $i ) > $i > $i > $o ) > $i > $o ).
thf(func_def_28,type,
instance_THFTYPE_IIIiioIiioIioI: ( ( $i > $i > $o ) > $i > $i > $o ) > $i > $o ).
thf(func_def_29,type,
instance_THFTYPE_IIiIiioIoIioI: ( $i > ( $i > $i > $o ) > $o ) > $i > $o ).
thf(func_def_30,type,
instance_THFTYPE_IIiiIioI: ( $i > $i ) > $i > $o ).
thf(func_def_31,type,
instance_THFTYPE_IIiiiIioI: ( $i > $i > $i ) > $i > $o ).
thf(func_def_32,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(func_def_33,type,
instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).
thf(func_def_34,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_35,type,
instrument_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_38,type,
lBeginFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_42,type,
lCardinalityFn_THFTYPE_IIioIiI: ( $i > $o ) > $i ).
thf(func_def_43,type,
lCardinalityFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_49,type,
lEndFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_61,type,
lListFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_62,type,
lMeasureFn_THFTYPE_IiiiI: $i > $i > $i ).
thf(func_def_76,type,
lTemporalCompositionFn_THFTYPE_IiiiI: $i > $i > $i ).
thf(func_def_86,type,
lWhenFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_90,type,
located_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_91,type,
lt_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_92,type,
ltet_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_93,type,
meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_98,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_99,type,
part_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_100,type,
partition_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(func_def_102,type,
rangeSubclass_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_103,type,
range_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_105,type,
relatedInternalConcept_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_106,type,
relatedInternalConcept_THFTYPE_IIioIIiioIoI: ( $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_107,type,
relatedInternalConcept_THFTYPE_IiIiioIoI: $i > ( $i > $i > $o ) > $o ).
thf(func_def_108,type,
relatedInternalConcept_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_110,type,
subAttribute_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_111,type,
subProcess_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_112,type,
subclass_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_113,type,
subrelation_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(func_def_114,type,
subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_115,type,
subrelation_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_116,type,
temporalPart_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_118,type,
vNOT: $o > $o ).
thf(func_def_121,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_122,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_123,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_124,type,
vAND: $o > $o > $o ).
thf(func_def_125,type,
sK0: ( $i > $i > $o ) > $i ).
thf(func_def_126,type,
sK1: ( $i > $i > $o ) > $i ).
thf(func_def_127,type,
sK2: ( $i > $i > $o ) > $i ).
thf(func_def_128,type,
sK3: $i > $i ).
thf(func_def_129,type,
sK4: $i > $i ).
thf(func_def_130,type,
sK5: $i > $i > $i ).
thf(func_def_131,type,
sK6: $i > $i > $i ).
thf(func_def_133,type,
sK8: ( $i > $i > $o ) > $i ).
thf(func_def_134,type,
sK9: $i > $i > $i ).
thf(func_def_135,type,
sK10: $i > $i > $i ).
thf(func_def_136,type,
sK11: $i > $i > $i ).
thf(func_def_137,type,
sK12: $i > $i ).
thf(func_def_138,type,
sK13: $i > $i ).
thf(f3,axiom,
! [X0: $i,X1: $i] :
( ( ltet_THFTYPE_IiioI @ X1 @ X0 )
<=> ( ( lt_THFTYPE_IiioI @ X1 @ X0 )
| ( X1 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(f256,conjecture,
? [X0: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X1: $i] : ( grandchild_THFTYPE_IiioI @ X1 @ lJohn_THFTYPE_i ) )
@ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f257,negated_conjecture,
~ ? [X0: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X1: $i] : ( grandchild_THFTYPE_IiioI @ X1 @ lJohn_THFTYPE_i ) )
@ X0 ),
inference(negated_conjecture,[status(cth)],[f256]) ).
thf(f262,plain,
! [X0: $i,X1: $i] :
( ( ltet_THFTYPE_IiioI @ X1 @ X0 )
<=> ( ( lt_THFTYPE_IiioI @ X1 @ X0 )
| ( X1 = X0 ) ) ),
inference(rectify,[],[f3]) ).
thf(f263,plain,
! [X0: $i,X1: $i] :
( ( ( ltet_THFTYPE_IiioI @ X1 @ X0 )
= $true )
<=> ( ( ( lt_THFTYPE_IiioI @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ) ),
inference(fool_elimination,[],[f262]) ).
thf(f766,plain,
~ ? [X0: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X1: $i] : ( grandchild_THFTYPE_IiioI @ X1 @ lJohn_THFTYPE_i ) )
@ X0 ),
inference(rectify,[],[f257]) ).
thf(f767,plain,
~ ? [X0: $i] :
( $true
= ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [Y0: $i] : ( grandchild_THFTYPE_IiioI @ Y0 @ lJohn_THFTYPE_i ) )
@ X0 ) ),
inference(fool_elimination,[],[f766]) ).
thf(f836,plain,
! [X0: $i] :
( $true
!= ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [Y0: $i] : ( grandchild_THFTYPE_IiioI @ Y0 @ lJohn_THFTYPE_i ) )
@ X0 ) ),
inference(ennf_transformation,[],[f767]) ).
thf(f837,plain,
! [X0: $i,X1: $i] :
( ( ( ( ltet_THFTYPE_IiioI @ X1 @ X0 )
= $true )
| ( ( ( lt_THFTYPE_IiioI @ X1 @ X0 )
!= $true )
& ( X0 != X1 ) ) )
& ( ( ( lt_THFTYPE_IiioI @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( ltet_THFTYPE_IiioI @ X1 @ X0 )
!= $true ) ) ),
inference(nnf_transformation,[],[f263]) ).
thf(f838,plain,
! [X0: $i,X1: $i] :
( ( ( ( ltet_THFTYPE_IiioI @ X1 @ X0 )
= $true )
| ( ( ( lt_THFTYPE_IiioI @ X1 @ X0 )
!= $true )
& ( X0 != X1 ) ) )
& ( ( ( lt_THFTYPE_IiioI @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( ltet_THFTYPE_IiioI @ X1 @ X0 )
!= $true ) ) ),
inference(flattening,[],[f837]) ).
thf(f869,plain,
! [X0: $i,X1: $i] :
( ( ( ltet_THFTYPE_IiioI @ X1 @ X0 )
= $true )
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f838]) ).
thf(f1141,plain,
! [X0: $i] :
( $true
!= ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [Y0: $i] : ( grandchild_THFTYPE_IiioI @ Y0 @ lJohn_THFTYPE_i ) )
@ X0 ) ),
inference(cnf_transformation,[],[f836]) ).
thf(f1144,plain,
! [X1: $i] :
( $true
= ( ltet_THFTYPE_IiioI @ X1 @ X1 ) ),
inference(equality_resolution,[],[f869]) ).
thf(f1185,plain,
$true != $true,
inference(constrained_superposition,[],[f1141,f1144]) ).
thf(f1186,plain,
$false,
inference(trivial_inequality_removal,[],[f1185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR150^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n007.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Tue Sep 29 17:55:41 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.28 Running first-order model finding
% 0.26/0.28 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
% 0.71/0.39 % (3720375)Will run a generic schedule for satisfiability detection.
% 0.71/0.39 % (3720380)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=59324717_2999 on theBenchmark for (2999ds/0Mi)
% 0.71/0.39 % (3720386)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4238658867:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.71/0.39 % (3720381)% WARNING: option uhcvi not known.
% 0.71/0.39 % Exception at run slice level
% 0.71/0.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.71/0.39 % (3720381)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2993404431:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.71/0.39 % (3720382)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=950685746:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.71/0.39 % (3720385)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1971093225:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.71/0.39 % (3720383)dis+10_1_sil=32000:sp=arity:random_seed=1998182625:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.71/0.39 % (3720384)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3125387688:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.71/0.39 % (3720381)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.71/0.39 % (3720384)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.71/0.39 % (3720389)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1559738551:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.71/0.39 % (3720381)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.71/0.39 % Exception at run slice level
% 0.71/0.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.71/0.39 % (3720386) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3720375-3720386"...
% 0.71/0.39 % (3720386)...printing done.
% 0.71/0.39 % (3720396)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=273261488:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.71/0.39 % (3720386)Refutation found. Thanks to Tanya!
% 0.71/0.39 % SZS status Theorem for theBenchmark
% 0.71/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.39 % (3720386)------------------------------
% 0.71/0.39 % (3720386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.39 % (3720386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.39 % (3720386)CaDiCaL version: 2.1.3
% 0.71/0.39 % (3720386)Termination reason: Refutation
% 0.71/0.39 % (3720386)Time elapsed: 0.060 s
% 0.71/0.39 % (3720386)Peak memory usage: 12 MB
% 0.71/0.39 % (3720386)Instructions burned: 80 (million)
% 0.71/0.39 % (3720375)Success in time 0.098 s
% 0.71/0.39 % Vampire exiting
%------------------------------------------------------------------------------