TSTP Solution File: NUM934_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM934_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 08:43:56 EDT 2024
% Result : Theorem 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 38
% Syntax : Number of formulae : 90 ( 42 unt; 24 typ; 0 def)
% Number of atoms : 106 ( 35 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 74 ( 34 ~; 21 |; 9 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 13 ( 9 >; 4 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 86 ( 73 !; 0 ?; 86 :)
% ( 13 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(func_def_0,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_1,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_2,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
bit0: int > int ).
tff(func_def_4,type,
bit1: int > int ).
tff(func_def_5,type,
pls: int ).
tff(func_def_6,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_7,type,
fFalse: bool ).
tff(func_def_8,type,
fTrue: bool ).
tff(func_def_9,type,
m: int ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
zprime: int > $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,
pp: bool > $o ).
tff(f2118,plain,
$false,
inference(subsumption_resolution,[],[f2109,f771]) ).
tff(f771,plain,
~ ord_less(int,pls,m),
inference(resolution,[],[f770,f590]) ).
tff(f590,plain,
! [X0: int] :
( ord_less(int,one_one(int),bit0(X0))
| ~ ord_less(int,pls,X0) ),
inference(superposition,[],[f413,f483]) ).
tff(f483,plain,
one_one(int) = bit1(pls),
inference(superposition,[],[f310,f315]) ).
tff(f315,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f118]) ).
tff(f118,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(rectify,[],[f60]) ).
tff(f60,axiom,
! [X6: int] : ( number_number_of(int,X6) = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_number__of__is__id) ).
tff(f310,plain,
one_one(int) = number_number_of(int,bit1(pls)),
inference(cnf_transformation,[],[f87]) ).
tff(f87,axiom,
one_one(int) = number_number_of(int,bit1(pls)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_one__is__num__one) ).
tff(f413,plain,
! [X0: int,X1: int] :
( ord_less(int,bit1(X1),bit0(X0))
| ~ ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f270]) ).
tff(f270,plain,
! [X0: int,X1: int] :
( ( ord_less(int,bit1(X1),bit0(X0))
| ~ ord_less(int,X1,X0) )
& ( ord_less(int,X1,X0)
| ~ ord_less(int,bit1(X1),bit0(X0)) ) ),
inference(nnf_transformation,[],[f175]) ).
tff(f175,plain,
! [X0: int,X1: int] :
( ord_less(int,bit1(X1),bit0(X0))
<=> ord_less(int,X1,X0) ),
inference(rectify,[],[f80]) ).
tff(f80,axiom,
! [X16: int,X17: int] :
( ord_less(int,bit1(X17),bit0(X16))
<=> ord_less(int,X17,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_less__int__code_I15_J) ).
tff(f770,plain,
~ ord_less(int,one_one(int),bit0(m)),
inference(resolution,[],[f768,f397]) ).
tff(f397,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
| ~ ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f263]) ).
tff(f263,plain,
! [X0: int,X1: int] :
( ( ord_less(int,X1,X0)
| ( X0 = X1 )
| ~ ord_less_eq(int,X1,X0) )
& ( ( ( X0 != X1 )
& ord_less_eq(int,X1,X0) )
| ~ ord_less(int,X1,X0) ) ),
inference(flattening,[],[f262]) ).
tff(f262,plain,
! [X0: int,X1: int] :
( ( ord_less(int,X1,X0)
| ( X0 = X1 )
| ~ ord_less_eq(int,X1,X0) )
& ( ( ( X0 != X1 )
& ord_less_eq(int,X1,X0) )
| ~ ord_less(int,X1,X0) ) ),
inference(nnf_transformation,[],[f168]) ).
tff(f168,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,X0)
<=> ( ( X0 != X1 )
& ord_less_eq(int,X1,X0) ) ),
inference(rectify,[],[f56]) ).
tff(f56,axiom,
! [X15: int,X14: int] :
( ord_less(int,X14,X15)
<=> ( ( X14 != X15 )
& ord_less_eq(int,X14,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_less__int__def) ).
tff(f768,plain,
~ ord_less_eq(int,one_one(int),bit0(m)),
inference(resolution,[],[f766,f409]) ).
tff(f409,plain,
! [X0: int,X1: int] :
( ord_less(int,bit0(X1),bit1(X0))
| ~ ord_less_eq(int,X1,X0) ),
inference(cnf_transformation,[],[f268]) ).
tff(f268,plain,
! [X0: int,X1: int] :
( ( ord_less(int,bit0(X1),bit1(X0))
| ~ ord_less_eq(int,X1,X0) )
& ( ord_less_eq(int,X1,X0)
| ~ ord_less(int,bit0(X1),bit1(X0)) ) ),
inference(nnf_transformation,[],[f173]) ).
tff(f173,plain,
! [X0: int,X1: int] :
( ord_less(int,bit0(X1),bit1(X0))
<=> ord_less_eq(int,X1,X0) ),
inference(rectify,[],[f63]) ).
tff(f63,axiom,
! [X16: int,X17: int] :
( ord_less(int,bit0(X17),bit1(X16))
<=> ord_less_eq(int,X17,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_less__int__code_I14_J) ).
tff(f766,plain,
~ ord_less(int,bit0(one_one(int)),bit1(bit0(m))),
inference(backward_demodulation,[],[f725,f764]) ).
tff(f764,plain,
! [X0: int] : ( bit1(X0) = plus_plus(int,bit0(X0),one_one(int)) ),
inference(forward_demodulation,[],[f762,f317]) ).
tff(f317,plain,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
inference(cnf_transformation,[],[f120]) ).
tff(f120,plain,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
inference(rectify,[],[f68]) ).
tff(f68,axiom,
! [X6: int] : ( plus_plus(int,X6,pls) = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_add__Pls__right) ).
tff(f762,plain,
! [X0: int] : ( bit1(plus_plus(int,X0,pls)) = plus_plus(int,bit0(X0),one_one(int)) ),
inference(superposition,[],[f389,f483]) ).
tff(f389,plain,
! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit0(X1),bit1(X0)) ),
inference(cnf_transformation,[],[f162]) ).
tff(f162,plain,
! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit0(X1),bit1(X0)) ),
inference(rectify,[],[f10]) ).
tff(f10,axiom,
! [X5: int,X6: int] : ( plus_plus(int,bit0(X6),bit1(X5)) = bit1(plus_plus(int,X6,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_add__Bit0__Bit1) ).
tff(f725,plain,
~ ord_less(int,bit0(one_one(int)),plus_plus(int,bit0(bit0(m)),one_one(int))),
inference(backward_demodulation,[],[f509,f723]) ).
tff(f723,plain,
! [X0: int] : ( times_times(int,bit0(bit0(one_one(int))),X0) = bit0(bit0(X0)) ),
inference(superposition,[],[f386,f720]) ).
tff(f720,plain,
! [X0: int] : ( bit0(X0) = times_times(int,bit0(one_one(int)),X0) ),
inference(superposition,[],[f386,f719]) ).
tff(f719,plain,
! [X0: int] : ( times_times(int,one_one(int),X0) = X0 ),
inference(forward_demodulation,[],[f718,f315]) ).
tff(f718,plain,
! [X0: int] : ( times_times(int,number_number_of(int,one_one(int)),X0) = X0 ),
inference(resolution,[],[f490,f295]) ).
tff(f295,plain,
number_ring(int),
inference(cnf_transformation,[],[f103]) ).
tff(f103,axiom,
number_ring(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
tff(f490,plain,
! [X0: $tType,X1: X0] :
( ~ number_ring(X0)
| ( times_times(X0,number_number_of(X0,one_one(int)),X1) = X1 ) ),
inference(backward_demodulation,[],[f326,f483]) ).
tff(f326,plain,
! [X0: $tType,X1: X0] :
( ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 )
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f200]) ).
tff(f200,plain,
! [X0: $tType] :
( ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f127]) ).
tff(f127,plain,
! [X0: $tType] :
( number_ring(X0)
=> ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
inference(rectify,[],[f84]) ).
tff(f84,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ! [X11: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X11) = X11 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_mult__numeral__1) ).
tff(f386,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(cnf_transformation,[],[f159]) ).
tff(f159,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(rectify,[],[f32]) ).
tff(f32,axiom,
! [X5: int,X6: int] : ( bit0(times_times(int,X6,X5)) = times_times(int,bit0(X6),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_mult__Bit0) ).
tff(f509,plain,
~ ord_less(int,bit0(one_one(int)),plus_plus(int,times_times(int,bit0(bit0(one_one(int))),m),one_one(int))),
inference(backward_demodulation,[],[f465,f483]) ).
tff(f465,plain,
~ ord_less(int,bit0(bit1(pls)),plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int))),
inference(forward_demodulation,[],[f463,f315]) ).
tff(f463,plain,
~ ord_less(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int))),
inference(backward_demodulation,[],[f290,f315]) ).
tff(f290,plain,
~ ord_less(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(cnf_transformation,[],[f115]) ).
tff(f115,plain,
~ ord_less(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(flattening,[],[f114]) ).
tff(f114,negated_conjecture,
~ ord_less(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(negated_conjecture,[],[f113]) ).
tff(f113,conjecture,
ord_less(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f2109,plain,
ord_less(int,pls,m),
inference(resolution,[],[f873,f308]) ).
tff(f308,plain,
ord_less_eq(int,one_one(int),m),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
ord_less_eq(int,one_one(int),m),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__0961_A_060_061_Am_096) ).
tff(f873,plain,
! [X0: int] :
( ~ ord_less_eq(int,one_one(int),X0)
| ord_less(int,pls,X0) ),
inference(superposition,[],[f449,f318]) ).
tff(f318,plain,
! [X0: int] : ( plus_plus(int,pls,X0) = X0 ),
inference(cnf_transformation,[],[f121]) ).
tff(f121,plain,
! [X0: int] : ( plus_plus(int,pls,X0) = X0 ),
inference(rectify,[],[f69]) ).
tff(f69,axiom,
! [X6: int] : ( plus_plus(int,pls,X6) = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_add__Pls) ).
tff(f449,plain,
! [X0: int,X1: int] :
( ~ ord_less_eq(int,plus_plus(int,X1,one_one(int)),X0)
| ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f289]) ).
tff(f289,plain,
! [X0: int,X1: int] :
( ( ord_less_eq(int,plus_plus(int,X1,one_one(int)),X0)
| ~ ord_less(int,X1,X0) )
& ( ord_less(int,X1,X0)
| ~ ord_less_eq(int,plus_plus(int,X1,one_one(int)),X0) ) ),
inference(nnf_transformation,[],[f192]) ).
tff(f192,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,plus_plus(int,X1,one_one(int)),X0)
<=> ord_less(int,X1,X0) ),
inference(rectify,[],[f65]) ).
tff(f65,axiom,
! [X14: int,X15: int] :
( ord_less_eq(int,plus_plus(int,X15,one_one(int)),X14)
<=> ord_less(int,X15,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_add1__zle__eq) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM934_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 14:44:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (32596)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (32599)WARNING: value z3 for option sas not known
% 0.13/0.37 % (32603)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)
% 0.13/0.37 % (32600)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (32602)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)
% 0.13/0.37 % (32601)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)
% 0.13/0.37 % (32597)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (32598)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (32599)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)
% 0.13/0.38 % (32603)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.39 % (32604)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.13/0.39 % (32605)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)
% 0.13/0.39 % (32606)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)
% 0.13/0.40 % (32604)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.40 % (32605)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.40 % Exception at run slice level
% 0.13/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.41 % (32607)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)
% 0.20/0.45 % (32606)First to succeed.
% 0.20/0.45 % (32606)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32596"
% 0.20/0.45 % (32606)Refutation found. Thanks to Tanya!
% 0.20/0.45 % SZS status Theorem for theBenchmark
% 0.20/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45 % (32606)------------------------------
% 0.20/0.45 % (32606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.45 % (32606)Termination reason: Refutation
% 0.20/0.45
% 0.20/0.45 % (32606)Memory used [KB]: 1711
% 0.20/0.45 % (32606)Time elapsed: 0.059 s
% 0.20/0.45 % (32606)Instructions burned: 101 (million)
% 0.20/0.45 % (32596)Success in time 0.093 s
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