TSTP Solution File: SWW495_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW495_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Sun May 5 11:41:10 EDT 2024
% Result : Theorem 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 58
% Syntax : Number of formulae : 104 ( 21 unt; 45 typ; 0 def)
% Number of atoms : 134 ( 23 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 132 ( 57 ~; 53 |; 1 &)
% ( 3 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 31 ( 20 >; 11 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 31 ( 31 usr; 16 con; 0-4 aty)
% Number of variables : 110 ( 73 !; 0 ?; 110 :)
% ( 37 !>; 0 ?*; 0 @-; 0 @+)
% 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,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_3,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_4,type,
fFalse: bool ).
tff(func_def_5,type,
fTrue: bool ).
tff(func_def_6,type,
l: real ).
tff(func_def_7,type,
p: fun(real,bool) ).
tff(func_def_8,type,
y1: real ).
tff(func_def_9,type,
x: real ).
tff(func_def_10,type,
y: real ).
tff(func_def_11,type,
z: real ).
tff(func_def_12,type,
sK0: real ).
tff(func_def_13,type,
sK1: real ).
tff(func_def_14,type,
sK2: real ).
tff(func_def_15,type,
sK3:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_16,type,
sK4:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_17,type,
sK5:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_18,type,
sK6:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_19,type,
sK7:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_20,type,
sK8:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_21,type,
sK9:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_22,type,
sK10:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_23,type,
sK11:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_24,type,
sK12:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_25,type,
sK13: real ).
tff(func_def_26,type,
sK14: real ).
tff(func_def_27,type,
sK15: real ).
tff(func_def_28,type,
sK16: real ).
tff(func_def_29,type,
sK17: 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,
isLub:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_8,type,
isUb:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_9,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_10,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_11,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_12,type,
pp: bool > $o ).
tff(f1800,plain,
$false,
inference(resolution,[],[f1798,f841]) ).
tff(f841,plain,
~ ord_less(real,l,z),
inference(resolution,[],[f780,f404]) ).
tff(f404,plain,
pp(fTrue),
inference(cnf_transformation,[],[f116]) ).
tff(f116,axiom,
pp(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_pp_2_1_U) ).
tff(f780,plain,
( ~ pp(fTrue)
| ~ ord_less(real,l,z) ),
inference(resolution,[],[f767,f702]) ).
tff(f702,plain,
! [X0: real,X1: real] :
( ~ ord_less_eq(real,X0,X1)
| ~ ord_less(real,X1,X0) ),
inference(resolution,[],[f437,f396]) ).
tff(f396,plain,
linorder(real),
inference(cnf_transformation,[],[f112]) ).
tff(f112,axiom,
linorder(real),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef_Oreal___Orderings_Olinorder) ).
tff(f437,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ~ linorder(X0)
| ~ ord_less_eq(X0,X2,X1)
| ~ ord_less(X0,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
tff(f243,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] :
( ~ ord_less(X0,X1,X2)
| ~ ord_less_eq(X0,X2,X1) )
| ~ linorder(X0) ),
inference(ennf_transformation,[],[f142]) ).
tff(f142,plain,
! [X0: $tType] :
( linorder(X0)
=> ! [X1: X0,X2: X0] :
( ord_less_eq(X0,X2,X1)
=> ~ ord_less(X0,X1,X2) ) ),
inference(rectify,[],[f48]) ).
tff(f48,axiom,
! [X0: $tType] :
( linorder(X0)
=> ! [X5: X0,X10: X0] :
( ord_less_eq(X0,X10,X5)
=> ~ ord_less(X0,X5,X10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_leD) ).
tff(f767,plain,
( ord_less_eq(real,z,l)
| ~ pp(fTrue) ),
inference(superposition,[],[f491,f587]) ).
tff(f587,plain,
aa(real,bool,p,z) = fTrue,
inference(resolution,[],[f580,f410]) ).
tff(f410,plain,
pp(aa(real,bool,p,z)),
inference(cnf_transformation,[],[f19]) ).
tff(f19,axiom,
pp(aa(real,bool,p,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_z_I1_J) ).
tff(f580,plain,
! [X0: bool] :
( ~ pp(X0)
| ( fTrue = X0 ) ),
inference(superposition,[],[f393,f416]) ).
tff(f416,plain,
! [X0: bool] :
( ( fFalse = X0 )
| ( fTrue = X0 ) ),
inference(cnf_transformation,[],[f125]) ).
tff(f125,plain,
! [X0: bool] :
( ( fFalse = X0 )
| ( fTrue = X0 ) ),
inference(rectify,[],[f119]) ).
tff(f119,axiom,
! [X33: bool] :
( ( fFalse = X33 )
| ( fTrue = X33 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fTrue_1_1_T) ).
tff(f393,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f115]) ).
tff(f115,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_pp_1_1_U) ).
tff(f491,plain,
! [X0: real] :
( ~ pp(aa(real,bool,p,X0))
| ord_less_eq(real,X0,l) ),
inference(cnf_transformation,[],[f295]) ).
tff(f295,plain,
! [X0: real] :
( ord_less_eq(real,X0,l)
| ~ pp(aa(real,bool,p,X0)) ),
inference(ennf_transformation,[],[f180]) ).
tff(f180,plain,
! [X0: real] :
( pp(aa(real,bool,p,X0))
=> ord_less_eq(real,X0,l) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X3: real] :
( pp(aa(real,bool,p,X3))
=> ord_less_eq(real,X3,l) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_L_H) ).
tff(f1798,plain,
ord_less(real,l,z),
inference(backward_demodulation,[],[f407,f1791]) ).
tff(f1791,plain,
l = y,
inference(resolution,[],[f1790,f407]) ).
tff(f1790,plain,
( ~ ord_less(real,y,z)
| ( l = y ) ),
inference(resolution,[],[f1707,f396]) ).
tff(f1707,plain,
( ~ linorder(real)
| ~ ord_less(real,y,z)
| ( l = y ) ),
inference(resolution,[],[f1700,f709]) ).
tff(f709,plain,
! [X0: real,X1: real] :
( ord_less_eq(real,X0,X1)
| ~ ord_less(real,X0,X1)
| ~ linorder(real) ),
inference(resolution,[],[f702,f425]) ).
tff(f425,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ord_less_eq(X0,X2,X1)
| ord_less_eq(X0,X1,X2)
| ~ linorder(X0) ),
inference(cnf_transformation,[],[f231]) ).
tff(f231,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] :
( ord_less_eq(X0,X1,X2)
| ord_less_eq(X0,X2,X1) )
| ~ linorder(X0) ),
inference(ennf_transformation,[],[f132]) ).
tff(f132,plain,
! [X0: $tType] :
( linorder(X0)
=> ! [X1: X0,X2: X0] :
( ord_less_eq(X0,X1,X2)
| ord_less_eq(X0,X2,X1) ) ),
inference(rectify,[],[f28]) ).
tff(f28,axiom,
! [X0: $tType] :
( linorder(X0)
=> ! [X10: X0,X5: X0] :
( ord_less_eq(X0,X10,X5)
| ord_less_eq(X0,X5,X10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_linorder__linear) ).
tff(f1700,plain,
( ~ ord_less_eq(real,y,z)
| ( l = y ) ),
inference(resolution,[],[f1687,f404]) ).
tff(f1687,plain,
( ~ pp(fTrue)
| ( l = y )
| ~ ord_less_eq(real,y,z) ),
inference(resolution,[],[f1672,f767]) ).
tff(f1672,plain,
! [X0: real] :
( ~ ord_less_eq(real,y,X0)
| ~ ord_less_eq(real,X0,l)
| ( l = y ) ),
inference(resolution,[],[f1669,f400]) ).
tff(f400,plain,
preorder(real),
inference(cnf_transformation,[],[f111]) ).
tff(f111,axiom,
preorder(real),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef_Oreal___Orderings_Opreorder) ).
tff(f1669,plain,
! [X0: real] :
( ~ preorder(real)
| ~ ord_less_eq(real,y,X0)
| ~ ord_less_eq(real,X0,l)
| ( l = y ) ),
inference(resolution,[],[f467,f1389]) ).
tff(f1389,plain,
( ~ ord_less_eq(real,y,l)
| ( l = y ) ),
inference(resolution,[],[f1367,f396]) ).
tff(f1367,plain,
( ~ linorder(real)
| ( l = y )
| ~ ord_less_eq(real,y,l) ),
inference(resolution,[],[f435,f392]) ).
tff(f392,plain,
~ ord_less(real,y,l),
inference(cnf_transformation,[],[f122]) ).
tff(f122,plain,
~ ord_less(real,y,l),
inference(flattening,[],[f121]) ).
tff(f121,negated_conjecture,
~ ord_less(real,y,l),
inference(negated_conjecture,[],[f120]) ).
tff(f120,conjecture,
ord_less(real,y,l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f435,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ord_less(X0,X2,X1)
| ~ ord_less_eq(X0,X2,X1)
| ( X1 = X2 )
| ~ linorder(X0) ),
inference(cnf_transformation,[],[f342]) ).
tff(f342,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] :
( ( ( ord_less_eq(X0,X2,X1)
| ( X1 != X2 ) )
& ( ( X1 = X2 )
| ~ ord_less_eq(X0,X2,X1) ) )
| ord_less(X0,X2,X1) )
| ~ linorder(X0) ),
inference(nnf_transformation,[],[f242]) ).
tff(f242,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] :
( ( ord_less_eq(X0,X2,X1)
<=> ( X1 = X2 ) )
| ord_less(X0,X2,X1) )
| ~ linorder(X0) ),
inference(ennf_transformation,[],[f141]) ).
tff(f141,plain,
! [X0: $tType] :
( linorder(X0)
=> ! [X1: X0,X2: X0] :
( ~ ord_less(X0,X2,X1)
=> ( ord_less_eq(X0,X2,X1)
<=> ( X1 = X2 ) ) ) ),
inference(rectify,[],[f50]) ).
tff(f50,axiom,
! [X0: $tType] :
( linorder(X0)
=> ! [X8: X0,X9: X0] :
( ~ ord_less(X0,X9,X8)
=> ( ord_less_eq(X0,X9,X8)
<=> ( X8 = X9 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_linorder__antisym__conv1) ).
tff(f467,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0] :
( ord_less_eq(X0,X3,X1)
| ~ ord_less_eq(X0,X2,X1)
| ~ ord_less_eq(X0,X3,X2)
| ~ preorder(X0) ),
inference(cnf_transformation,[],[f270]) ).
tff(f270,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: X0] :
( ord_less_eq(X0,X3,X1)
| ~ ord_less_eq(X0,X2,X1)
| ~ ord_less_eq(X0,X3,X2) )
| ~ preorder(X0) ),
inference(flattening,[],[f269]) ).
tff(f269,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: X0] :
( ord_less_eq(X0,X3,X1)
| ~ ord_less_eq(X0,X2,X1)
| ~ ord_less_eq(X0,X3,X2) )
| ~ preorder(X0) ),
inference(ennf_transformation,[],[f163]) ).
tff(f163,plain,
! [X0: $tType] :
( preorder(X0)
=> ! [X1: X0,X2: X0,X3: X0] :
( ord_less_eq(X0,X3,X2)
=> ( ord_less_eq(X0,X2,X1)
=> ord_less_eq(X0,X3,X1) ) ) ),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
! [X0: $tType] :
( preorder(X0)
=> ! [X19: X0,X10: X0,X5: X0] :
( ord_less_eq(X0,X5,X10)
=> ( ord_less_eq(X0,X10,X19)
=> ord_less_eq(X0,X5,X19) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_order__trans) ).
tff(f407,plain,
ord_less(real,y,z),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
ord_less(real,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_z_I2_J) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW495_5 : TPTP v8.1.2. Released v6.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 19:42:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (19029)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (19032)WARNING: value z3 for option sas not known
% 0.20/0.37 % (19033)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (19036)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.37 % (19035)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.37 % (19031)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (19034)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_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.38 % (19032)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38 % (19036)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.38 % (19030)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % Exception at run slice level
% 0.20/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.38 % Exception at run slice level
% 0.20/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.38 % Exception at run slice level
% 0.20/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.39 % (19037)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.39 % (19038)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.20/0.39 % (19037)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.39 % (19038)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.39 % Exception at run slice level
% 0.20/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.40 % (19039)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.20/0.41 % (19035)First to succeed.
% 0.20/0.41 % (19041)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.20/0.41 % (19035)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19029"
% 0.20/0.41 % (19035)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Theorem for theBenchmark
% 0.20/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41 % (19035)------------------------------
% 0.20/0.41 % (19035)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.41 % (19035)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (19035)Memory used [KB]: 1423
% 0.20/0.41 % (19035)Time elapsed: 0.038 s
% 0.20/0.41 % (19035)Instructions burned: 72 (million)
% 0.20/0.41 % (19029)Success in time 0.055 s
%------------------------------------------------------------------------------