TSTP Solution File: SWW520_5 by Vampire-SAT---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW520_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:53:31 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 7 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 44 ( 19 ~; 7 |; 13 &)
% ( 0 <=>; 5 =>; 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 : 15 ( 13 usr; 1 prp; 0-6 aty)
% Number of functors : 49 ( 49 usr; 5 con; 0-4 aty)
% Number of variables : 37 ( 28 !; 9 ?; 37 :)
% 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: nat ).
tff(func_def_15,type,
sK1: hoare_28830079triple(a) ).
tff(func_def_16,type,
sK2:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_17,type,
sK3:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_18,type,
sK4:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_19,type,
sK5:
!>[X0: $tType] : ( fun(nat,X0) > nat ) ).
tff(func_def_20,type,
sK6:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_21,type,
sK7:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_22,type,
sK8: nat > nat ).
tff(func_def_23,type,
sK9:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_24,type,
sK10:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_25,type,
sK11:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_26,type,
sK12:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_27,type,
sK13:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_28,type,
sK14:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_29,type,
sK15:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_30,type,
sK16:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_31,type,
sK17:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_32,type,
sK18:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_33,type,
sK19:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_34,type,
sK20:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_35,type,
sK21:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_36,type,
sK22:
!>[X0: $tType] : ( pred(X0) > fun(X0,bool) ) ).
tff(func_def_37,type,
sK23:
!>[X0: $tType] : ( ( fun(fun(X0,bool),bool) * X0 ) > fun(X0,bool) ) ).
tff(func_def_38,type,
sK24:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_39,type,
sK25:
!>[X0: $tType] : ( ( nat * fun(hoare_28830079triple(X0),bool) ) > hoare_28830079triple(X0) ) ).
tff(func_def_40,type,
sK26:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_41,type,
sK27:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_42,type,
sK28:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(fun(X0,bool),bool) ) > fun(X0,bool) ) ).
tff(func_def_43,type,
sK29:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_44,type,
sK30:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_45,type,
sK31:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
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(f681,plain,
$false,
inference(resolution,[],[f612,f618]) ).
tff(f618,plain,
! [X0: $tType,X1: X0] : ~ member(X0,X1,combk(bool,X0,fFalse)),
inference(backward_demodulation,[],[f482,f611]) ).
tff(f611,plain,
! [X0: $tType] : ( bot_bot(fun(X0,bool)) = combk(bool,X0,fFalse) ),
inference(backward_demodulation,[],[f448,f484]) ).
tff(f484,plain,
! [X0: $tType,X1: fun(X0,bool)] : ( collect(X0,X1) = X1 ),
inference(cnf_transformation,[],[f167]) ).
tff(f167,plain,
! [X0: $tType,X1: fun(X0,bool)] : ( collect(X0,X1) = X1 ),
inference(rectify,[],[f76]) ).
tff(f76,axiom,
! [X1: $tType,X3: fun(X1,bool)] : ( collect(X1,X3) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f448,plain,
! [X0: $tType] : ( bot_bot(fun(X0,bool)) = collect(X0,combk(bool,X0,fFalse)) ),
inference(cnf_transformation,[],[f139]) ).
tff(f139,plain,
! [X0: $tType] : ( bot_bot(fun(X0,bool)) = collect(X0,combk(bool,X0,fFalse)) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X1: $tType] : ( bot_bot(fun(X1,bool)) = collect(X1,combk(bool,X1,fFalse)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f482,plain,
! [X0: $tType,X1: X0] : ~ member(X0,X1,bot_bot(fun(X0,bool))),
inference(cnf_transformation,[],[f165]) ).
tff(f165,plain,
! [X0: $tType,X1: X0] : ~ member(X0,X1,bot_bot(fun(X0,bool))),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: $tType,X7: X1] : ~ member(X1,X7,bot_bot(fun(X1,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f612,plain,
member(hoare_28830079triple(a),sK1,combk(bool,hoare_28830079triple(a),fFalse)),
inference(backward_demodulation,[],[f421,f611]) ).
tff(f421,plain,
member(hoare_28830079triple(a),sK1,bot_bot(fun(hoare_28830079triple(a),bool))),
inference(cnf_transformation,[],[f339]) ).
tff(f339,plain,
( ~ hoare_1633586161_valid(a,sK0,sK1)
& member(hoare_28830079triple(a),sK1,bot_bot(fun(hoare_28830079triple(a),bool)))
& ! [X2: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,sK0,X2)
| ~ member(hoare_28830079triple(a),X2,ga) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f239,f338,f337]) ).
tff(f337,plain,
( ? [X0: nat] :
( ? [X1: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X0,X1)
& member(hoare_28830079triple(a),X1,bot_bot(fun(hoare_28830079triple(a),bool))) )
& ! [X2: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,X0,X2)
| ~ member(hoare_28830079triple(a),X2,ga) ) )
=> ( ? [X1: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,sK0,X1)
& member(hoare_28830079triple(a),X1,bot_bot(fun(hoare_28830079triple(a),bool))) )
& ! [X2: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,sK0,X2)
| ~ member(hoare_28830079triple(a),X2,ga) ) ) ),
introduced(choice_axiom,[]) ).
tff(f338,plain,
( ? [X1: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,sK0,X1)
& member(hoare_28830079triple(a),X1,bot_bot(fun(hoare_28830079triple(a),bool))) )
=> ( ~ hoare_1633586161_valid(a,sK0,sK1)
& member(hoare_28830079triple(a),sK1,bot_bot(fun(hoare_28830079triple(a),bool))) ) ),
introduced(choice_axiom,[]) ).
tff(f239,plain,
? [X0: nat] :
( ? [X1: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X0,X1)
& member(hoare_28830079triple(a),X1,bot_bot(fun(hoare_28830079triple(a),bool))) )
& ! [X2: hoare_28830079triple(a)] :
( hoare_1633586161_valid(a,X0,X2)
| ~ member(hoare_28830079triple(a),X2,ga) ) ),
inference(ennf_transformation,[],[f128]) ).
tff(f128,plain,
~ ! [X0: nat] :
( ! [X1: hoare_28830079triple(a)] :
( member(hoare_28830079triple(a),X1,bot_bot(fun(hoare_28830079triple(a),bool)))
=> hoare_1633586161_valid(a,X0,X1) )
| ? [X2: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X0,X2)
& member(hoare_28830079triple(a),X2,ga) ) ),
inference(rectify,[],[f127]) ).
tff(f127,negated_conjecture,
~ ! [X51: nat] :
( ! [X19: hoare_28830079triple(a)] :
( member(hoare_28830079triple(a),X19,bot_bot(fun(hoare_28830079triple(a),bool)))
=> hoare_1633586161_valid(a,X51,X19) )
| ? [X4: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X51,X4)
& member(hoare_28830079triple(a),X4,ga) ) ),
inference(negated_conjecture,[],[f126]) ).
tff(f126,conjecture,
! [X51: nat] :
( ! [X19: hoare_28830079triple(a)] :
( member(hoare_28830079triple(a),X19,bot_bot(fun(hoare_28830079triple(a),bool)))
=> hoare_1633586161_valid(a,X51,X19) )
| ? [X4: hoare_28830079triple(a)] :
( ~ hoare_1633586161_valid(a,X51,X4)
& member(hoare_28830079triple(a),X4,ga) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW520_5 : TPTP v8.2.0. Released v6.0.0.
% 0.07/0.12 % Command : run_vampire %s %d SAT
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 09:45:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a TF1_THM_EQU_NAR problem
% 0.13/0.36 Running first-order model finding
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42 % (18049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (18056)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.21/0.43 % (18056)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.43 % (18056)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.43 % Exception at run slice level
% 0.21/0.43 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.43 % (18049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (18057)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.21/0.43 % (18049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (18054)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.21/0.43 % (18049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (18059)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.21/0.43 % (18049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (18058)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.21/0.43 % (18049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (18053)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.21/0.43 % (18049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (18055)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.21/0.43 % (18057)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.43 % (18059)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.43 % Exception at run slice level
% 0.21/0.43 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.43 % (18058)Aborted by signal SIGSEGV on /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.43 % (18058)------------------------------
% 0.21/0.43 % (18058)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43 % (18058)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43 % (18058)Termination reason: Unknown
% 0.21/0.43 % (18058)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (18058)Memory used [KB]: 1024
% 0.21/0.43 % (18058)Time elapsed: 0.007 s
% 0.21/0.43 % (18058)Instructions burned: 9 (million)
% 0.21/0.43 % (18058)------------------------------
% 0.21/0.43 % (18058)------------------------------
% 0.21/0.43 Version : Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43 call stack: 0x416001 0x1cd76a0 0x1cd5fa4 0x41c856 0x4193c6 0xa45fc5 0xa4c1bf 0xa4cf76 0xa4d5a0 0x769598 0x7693f1 0x4f70af 0x7735d4 0x762d9c 0x714d88 0x54d462 0x669b24 0x53ec63 0x53b01e 0x4e7fbe 0x54f63d 0x1ceab70 0x489180 0x41f883
% 0.21/0.43 % Exception at run slice level(use '--traceback on' to get a human-readable stack trace)
% 0.21/0.43
% 0.21/0.43 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.44 % (18059)First to succeed.
% 0.21/0.44 % (18057)Also succeeded, but the first one will report.
% 0.21/0.44 % (18059)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18049"
% 0.21/0.44 % (18054)Also succeeded, but the first one will report.
% 0.21/0.44 % (18049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (18059)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (18059)------------------------------
% 0.21/0.44 % (18059)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44 % (18059)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44 % (18059)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (18059)Memory used [KB]: 1058
% 0.21/0.44 % (18059)Time elapsed: 0.012 s
% 0.21/0.44 % (18059)Instructions burned: 15 (million)
% 0.21/0.44 % (18059)------------------------------
% 0.21/0.44 % (18059)------------------------------
% 0.21/0.44 % (18049)Success in time 0.067 s
%------------------------------------------------------------------------------