TSTP Solution File: SWW494_5 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW494_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n008.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 18:53:25 EDT 2024
% Result : Theorem 0.23s 0.47s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 2 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 2 prp; 0-6 aty)
% Number of functors : 40 ( 40 usr; 12 con; 0-4 aty)
% Number of variables : 15 ( 12 !; 3 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
real: $tType ).
tff(type_def_7,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_1,type,
isUb:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > fun(X0,bool) ) ).
tff(func_def_2,type,
ubs:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > fun(X0,bool) ) ).
tff(func_def_3,type,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_4,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_5,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_6,type,
fFalse: bool ).
tff(func_def_7,type,
fTrue: bool ).
tff(func_def_8,type,
p: fun(real,bool) ).
tff(func_def_9,type,
y: real ).
tff(func_def_10,type,
x: real ).
tff(func_def_11,type,
sK0: real ).
tff(func_def_12,type,
sK1: real ).
tff(func_def_13,type,
sK2:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_14,type,
sK3:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_15,type,
sK4:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_16,type,
sK5:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_17,type,
sK6: fun(real,bool) > real ).
tff(func_def_18,type,
sK7: fun(real,bool) > real ).
tff(func_def_19,type,
sK8: fun(real,bool) > real ).
tff(func_def_20,type,
sK9: ( fun(real,bool) * real ) > real ).
tff(func_def_21,type,
sK10: ( fun(real,bool) * real ) > real ).
tff(func_def_22,type,
sK11:
!>[X0: $tType] : X0 ).
tff(func_def_23,type,
sK12:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_24,type,
sK13:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_25,type,
sK14:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_26,type,
sK15:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_27,type,
sK16:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_28,type,
sK17:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_29,type,
sK18:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_30,type,
sK19:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_31,type,
sK20:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_32,type,
sK21:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_33,type,
sK22:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_34,type,
sK23: real ).
tff(func_def_35,type,
sK24: real ).
tff(func_def_36,type,
sK25: real ).
tff(func_def_37,type,
sK26: real ).
tff(func_def_38,type,
sK27: real ).
tff(pred_def_1,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
top:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
dense_linorder:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
isLub:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_9,type,
leastP:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_10,type,
setge:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_11,type,
setle:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_12,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_13,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_14,type,
order_strict_mono:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).
tff(pred_def_15,type,
inv_imagep:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * X1 ) > $o ) ).
tff(pred_def_16,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_17,type,
pp: bool > $o ).
tff(f729,plain,
$false,
inference(subsumption_resolution,[],[f728,f604]) ).
tff(f604,plain,
! [X0: real] : ~ isLub(real,top_top(fun(real,bool)),p,X0),
inference(backward_demodulation,[],[f602,f546]) ).
tff(f546,plain,
! [X0: $tType,X1: fun(X0,bool)] : ( collect(X0,X1) = X1 ),
inference(cnf_transformation,[],[f198]) ).
tff(f198,plain,
! [X0: $tType,X1: fun(X0,bool)] : ( collect(X0,X1) = X1 ),
inference(rectify,[],[f78]) ).
tff(f78,axiom,
! [X0: $tType,X14: fun(X0,bool)] : ( collect(X0,X14) = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f602,plain,
! [X0: real] : ~ isLub(real,top_top(fun(real,bool)),collect(real,p),X0),
inference(subsumption_resolution,[],[f425,f424]) ).
tff(f424,plain,
~ thesis,
inference(cnf_transformation,[],[f124]) ).
tff(f124,plain,
~ thesis,
inference(flattening,[],[f123]) ).
tff(f123,negated_conjecture,
~ thesis,
inference(negated_conjecture,[],[f122]) ).
tff(f122,conjecture,
thesis,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f425,plain,
! [X0: real] :
( thesis
| ~ isLub(real,top_top(fun(real,bool)),collect(real,p),X0) ),
inference(cnf_transformation,[],[f234]) ).
tff(f234,plain,
! [X0: real] :
( thesis
| ~ isLub(real,top_top(fun(real,bool)),collect(real,p),X0) ),
inference(ennf_transformation,[],[f125]) ).
tff(f125,plain,
! [X0: real] :
( isLub(real,top_top(fun(real,bool)),collect(real,p),X0)
=> thesis ),
inference(rectify,[],[f121]) ).
tff(f121,axiom,
! [X35: real] :
( isLub(real,top_top(fun(real,bool)),collect(real,p),X35)
=> thesis ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f728,plain,
isLub(real,top_top(fun(real,bool)),p,sK25),
inference(superposition,[],[f576,f546]) ).
tff(f576,plain,
isLub(real,top_top(fun(real,bool)),collect(real,p),sK25),
inference(cnf_transformation,[],[f419]) ).
tff(f419,plain,
isLub(real,top_top(fun(real,bool)),collect(real,p),sK25),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f227,f418]) ).
tff(f418,plain,
( ? [X0: real] : isLub(real,top_top(fun(real,bool)),collect(real,p),X0)
=> isLub(real,top_top(fun(real,bool)),collect(real,p),sK25) ),
introduced(choice_axiom,[]) ).
tff(f227,plain,
? [X0: real] : isLub(real,top_top(fun(real,bool)),collect(real,p),X0),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
? [X2: real] : isLub(real,top_top(fun(real,bool)),collect(real,p),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : SWW494_5 : TPTP v8.2.0. Released v6.0.0.
% 0.08/0.15 % Command : run_vampire %s %d SAT
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Jun 19 04:46:54 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.38 This is a TF1_THM_EQU_NAR problem
% 0.15/0.39 Running first-order model finding
% 0.15/0.39 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.46 % (27195)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (27196)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.23/0.46 % (27195)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (27197)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 (2999ds/99418Mi)
% 0.23/0.46 % (27195)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (27202)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 (2999ds/115Mi)
% 0.23/0.46 % (27195)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (27198)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.23/0.46 % (27195)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (27201)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 (2999ds/146Mi)
% 0.23/0.46 % (27195)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (27199)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 (2999ds/152523Mi)
% 0.23/0.46 % (27195)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (27200)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.23/0.46 % (27202)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.46 % (27199)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.46 % (27200)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.46 % (27199)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.46 % Exception at run slice level
% 0.23/0.46 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.46 % Exception at run slice level
% 0.23/0.46 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.46 % Exception at run slice level
% 0.23/0.46 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.46 % Exception at run slice level
% 0.23/0.46 User error: Immediate (shared) subterms of term/literal aa(fFalse,aa,p,X0) have different types/not well-typed!
% 0.23/0.47 % (27200)First to succeed.
% 0.23/0.47 % (27200)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27195"
% 0.23/0.47 % (27202)Also succeeded, but the first one will report.
% 0.23/0.47 % (27197)Also succeeded, but the first one will report.
% 0.23/0.47 % (27195)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.47 % (27200)Refutation found. Thanks to Tanya!
% 0.23/0.47 % SZS status Theorem for theBenchmark
% 0.23/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.47 % (27200)------------------------------
% 0.23/0.47 % (27200)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.47 % (27200)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.47 % (27200)Termination reason: Refutation
% 0.23/0.47
% 0.23/0.47 % (27200)Memory used [KB]: 1127
% 0.23/0.47 % (27200)Time elapsed: 0.013 s
% 0.23/0.47 % (27200)Instructions burned: 16 (million)
% 0.23/0.47 % (27200)------------------------------
% 0.23/0.47 % (27200)------------------------------
% 0.23/0.47 % (27195)Success in time 0.074 s
%------------------------------------------------------------------------------