%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW520_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 : Tue Sep 29 01:40:22 PM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 21 ( 9 ~; 4 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-6 aty)
% Number of functors : 49 ( 49 usr; 5 con; 0-4 aty)
% Number of variables : 14 ( 10 !; 4 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
hoare_28830079triple: $tType > $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
pred: $tType > $tType ).
tff(type_def_10,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_1,type,
complete_Sup_Sup:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_2,type,
suc: nat > nat ).
tff(func_def_3,type,
semiri532925092at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_4,type,
bot_bot:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
powp:
!>[X0: $tType] : ( fun(X0,bool) > fun(fun(X0,bool),bool) ) ).
tff(func_def_6,type,
pred1:
!>[X0: $tType] : ( fun(X0,bool) > pred(X0) ) ).
tff(func_def_7,type,
pred_case:
!>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,bool),X1) * pred(X0) ) > X1 ) ).
tff(func_def_8,type,
pred_rec:
!>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,bool),X1) * pred(X0) ) > X1 ) ).
tff(func_def_9,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_10,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_11,type,
fFalse: bool ).
tff(func_def_12,type,
fTrue: bool ).
tff(func_def_13,type,
ga: fun(hoare_28830079triple(a),bool) ).
tff(func_def_14,type,
sK0:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_15,type,
sK1:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_16,type,
sK2:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_17,type,
sK3:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_18,type,
sK4:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_19,type,
sK5:
!>[X0: $tType] : ( ( nat * fun(hoare_28830079triple(X0),bool) ) > hoare_28830079triple(X0) ) ).
tff(func_def_20,type,
sK6:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_21,type,
sK7:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_22,type,
sK8:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_23,type,
sK9:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_24,type,
sK10:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_25,type,
sK11:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_26,type,
sK12:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_27,type,
sK13:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_28,type,
sK14:
!>[X0: $tType] : ( ( fun(fun(X0,bool),bool) * X0 ) > fun(X0,bool) ) ).
tff(func_def_29,type,
sK15:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(fun(X0,bool),bool) ) > fun(X0,bool) ) ).
tff(func_def_30,type,
sK16:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_31,type,
sK17:
!>[X0: $tType] : ( fun(nat,X0) > nat ) ).
tff(func_def_32,type,
sK18: nat > nat ).
tff(func_def_33,type,
sK19:
!>[X0: $tType] : ( pred(X0) > fun(X0,bool) ) ).
tff(func_def_34,type,
sK20:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_35,type,
sK21:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_36,type,
sK22:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_37,type,
sK23:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_38,type,
sK24:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_39,type,
sK25:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_40,type,
sK26:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_41,type,
sK27:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_42,type,
sK28:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_43,type,
sK29:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_44,type,
sK30: nat ).
tff(func_def_45,type,
sK31: hoare_28830079triple(a) ).
tff(pred_def_1,type,
bot:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
comple187826305attice:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
hoare_592965047valids:
!>[X0: $tType] : ( ( fun(hoare_28830079triple(X0),bool) * fun(hoare_28830079triple(X0),bool) ) > $o ) ).
tff(pred_def_9,type,
hoare_1633586161_valid:
!>[X0: $tType] : ( ( nat * hoare_28830079triple(X0) ) > $o ) ).
tff(pred_def_10,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_11,type,
inv_imagep:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * X1 ) > $o ) ).
tff(pred_def_12,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_13,type,
pp: bool > $o ).
tff(f4,axiom,
! [X0: $tType,X1: X0] : ~ member(X0,X1,bot_bot(fun(X0,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_empty__iff) ).
tff(f126,conjecture,
! [X0: nat] :
( ? [X1: hoare_28830079triple(a)] :
( member(hoare_28830079triple(a),X1,ga)
& ~ hoare_1633586161_valid(a,X0,X1) )
| ! [X2: hoare_28830079triple(a)] :
( member(hoare_28830079triple(a),X2,bot_bot(fun(hoare_28830079triple(a),bool)))
=> hoare_1633586161_valid(a,X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f127,negated_conjecture,
~ ! [X0: nat] :
( ? [X1: hoare_28830079triple(a)] :
( member(hoare_28830079triple(a),X1,ga)
& ~ hoare_1633586161_valid(a,X0,X1) )
| ! [X2: hoare_28830079triple(a)] :
( member(hoare_28830079triple(a),X2,bot_bot(fun(hoare_28830079triple(a),bool)))
=> hoare_1633586161_valid(a,X0,X2) ) ),
inference(negated_conjecture,[status(cth)],[f126]) ).
tff(f228,plain,
? [X0: nat] :
( ! [X1: hoare_28830079triple(a)] :
( ~ member(hoare_28830079triple(a),X1,ga)
| hoare_1633586161_valid(a,X0,X1) )
& ? [X2: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X0,X2)
& member(hoare_28830079triple(a),X2,bot_bot(fun(hoare_28830079triple(a),bool))) ) ),
inference(ennf_transformation,[],[f127]) ).
tff(f283,plain,
( ! [X1: hoare_28830079triple(a)] :
( ~ member(hoare_28830079triple(a),X1,ga)
| hoare_1633586161_valid(a,sK30,X1) )
& ~ hoare_1633586161_valid(a,sK30,sK31)
& member(hoare_28830079triple(a),sK31,bot_bot(fun(hoare_28830079triple(a),bool))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30,sK31]),skolemize(X0,sK30),skolemize(X2,sK31)],[f228]) ).
tff(f289,plain,
! [X0: $tType,X1: X0] : ~ member(X0,X1,bot_bot(fun(X0,bool))),
inference(cnf_transformation,[],[f4]) ).
tff(f447,plain,
member(hoare_28830079triple(a),sK31,bot_bot(fun(hoare_28830079triple(a),bool))),
inference(cnf_transformation,[],[f283]) ).
tff(f488,plain,
$false,
inference(resolution,[],[f289,f447]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW520_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n007.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 14:15:11 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.19/0.28 % (2406838)Will run a generic schedule for satisfiability detection.
% 0.19/0.28 % (2406843)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3340896630_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.28 % Exception at run slice level
% 0.19/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.28 % (2406844)% WARNING: option uhcvi not known.
% 0.19/0.28 % (2406844)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4085287627:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.28 % (2406845)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1556438711:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.28 % (2406846)dis+10_1_sil=32000:sp=arity:random_seed=1047622241:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.28 % (2406847)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=381679543:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.28 % (2406848)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=78480:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.28 % (2406849)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1526385864:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.28 % (2406851)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3327239487:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.28 % (2406846) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2406838-2406846"...
% 0.19/0.28 % (2406844) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2406838-2406844"...
% 0.19/0.28 % (2406845) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2406838-2406845"...
% 0.19/0.28 % Exception at run slice level
% 0.19/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.28 % (2406846)...printing done.
% 0.19/0.28 % (2406844)...printing done.
% 0.19/0.28 % (2406848) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2406838-2406848"...
% 0.19/0.28 % (2406849) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2406838-2406849"...
% 0.19/0.28 % (2406846)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Theorem for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (2406846)------------------------------
% 0.19/0.28 % (2406846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (2406846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (2406846)CaDiCaL version: 2.1.3
% 0.19/0.28 % (2406846)Termination reason: Refutation
% 0.19/0.28 % (2406846)Time elapsed: 0.006 s
% 0.19/0.28 % (2406846)Peak memory usage: 12 MB
% 0.19/0.28 % (2406846)Instructions burned: 9 (million)
% 0.19/0.28 % (2406838)Success in time 0.052 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------