TSTP Solution File: SWW498_5 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW498_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n007.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 18:53:26 EDT 2024
% Result : Theorem 0.23s 0.47s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 35 ( 35 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
complex: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
int: $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
real: $tType ).
tff(func_def_0,type,
fundam1563812824_csqrt: complex > complex ).
tff(func_def_1,type,
abs_abs:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_2,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_3,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_4,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_5,type,
bit0: int > int ).
tff(func_def_6,type,
bit1: int > int ).
tff(func_def_7,type,
min: int ).
tff(func_def_8,type,
pls: int ).
tff(func_def_9,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_10,type,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_11,type,
fFalse: bool ).
tff(func_def_12,type,
fTrue: bool ).
tff(func_def_13,type,
x: real ).
tff(func_def_14,type,
y: real ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_10,type,
pp: bool > $o ).
tff(f1123,plain,
$false,
inference(resolution,[],[f1122,f676]) ).
tff(f676,plain,
~ ord_less_eq(real,power_power(real,times_times(real,x,number_number_of(real,bit0(bit1(pls)))),number_number_of(nat,bit0(bit1(pls)))),one_one(real)),
inference(backward_demodulation,[],[f454,f670]) ).
tff(f670,plain,
! [X0: real,X1: real] : ( times_times(real,X0,X1) = times_times(real,X1,X0) ),
inference(resolution,[],[f367,f311]) ).
tff(f311,plain,
comm_semiring_1(real),
inference(cnf_transformation,[],[f112]) ).
tff(f112,axiom,
comm_semiring_1(real),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f367,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ~ comm_semiring_1(X0)
| ( times_times(X0,X2,X1) = times_times(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f226]) ).
tff(f226,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] : ( times_times(X0,X2,X1) = times_times(X0,X1,X2) )
| ~ comm_semiring_1(X0) ),
inference(ennf_transformation,[],[f158]) ).
tff(f158,plain,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X1: X0,X2: X0] : ( times_times(X0,X2,X1) = times_times(X0,X1,X2) ) ),
inference(rectify,[],[f81]) ).
tff(f81,axiom,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X29: X0,X7: X0] : ( times_times(X0,X7,X29) = times_times(X0,X29,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f454,plain,
~ ord_less_eq(real,power_power(real,times_times(real,number_number_of(real,bit0(bit1(pls))),x),number_number_of(nat,bit0(bit1(pls)))),one_one(real)),
inference(backward_demodulation,[],[f282,f341]) ).
tff(f341,plain,
! [X0: real] : ( times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,X0,number_number_of(nat,bit0(bit1(pls))))) = power_power(real,times_times(real,number_number_of(real,bit0(bit1(pls))),X0),number_number_of(nat,bit0(bit1(pls)))) ),
inference(cnf_transformation,[],[f138]) ).
tff(f138,plain,
! [X0: real] : ( times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,X0,number_number_of(nat,bit0(bit1(pls))))) = power_power(real,times_times(real,number_number_of(real,bit0(bit1(pls))),X0),number_number_of(nat,bit0(bit1(pls)))) ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X5: real] : ( times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,X5,number_number_of(nat,bit0(bit1(pls))))) = power_power(real,times_times(real,number_number_of(real,bit0(bit1(pls))),X5),number_number_of(nat,bit0(bit1(pls)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f282,plain,
~ ord_less_eq(real,times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,x,number_number_of(nat,bit0(bit1(pls))))),one_one(real)),
inference(cnf_transformation,[],[f130]) ).
tff(f130,plain,
~ ord_less_eq(real,times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,x,number_number_of(nat,bit0(bit1(pls))))),one_one(real)),
inference(flattening,[],[f129]) ).
tff(f129,negated_conjecture,
~ ord_less_eq(real,times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,x,number_number_of(nat,bit0(bit1(pls))))),one_one(real)),
inference(negated_conjecture,[],[f128]) ).
tff(f128,conjecture,
ord_less_eq(real,times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,x,number_number_of(nat,bit0(bit1(pls))))),one_one(real)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f1122,plain,
ord_less_eq(real,power_power(real,times_times(real,x,number_number_of(real,bit0(bit1(pls)))),number_number_of(nat,bit0(bit1(pls)))),one_one(real)),
inference(backward_demodulation,[],[f675,f1119]) ).
tff(f1119,plain,
! [X0: real] : ( power_power(real,X0,number_number_of(nat,bit0(bit1(pls)))) = power_power(real,abs_abs(real,X0),number_number_of(nat,bit0(bit1(pls)))) ),
inference(resolution,[],[f345,f285]) ).
tff(f285,plain,
linordered_idom(real),
inference(cnf_transformation,[],[f111]) ).
tff(f111,axiom,
linordered_idom(real),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f345,plain,
! [X0: $tType,X1: X0] :
( ~ linordered_idom(X0)
| ( power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) = power_power(X0,abs_abs(X0,X1),number_number_of(nat,bit0(bit1(pls)))) ) ),
inference(cnf_transformation,[],[f204]) ).
tff(f204,plain,
! [X0: $tType] :
( ! [X1: X0] : ( power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) = power_power(X0,abs_abs(X0,X1),number_number_of(nat,bit0(bit1(pls)))) )
| ~ linordered_idom(X0) ),
inference(ennf_transformation,[],[f141]) ).
tff(f141,plain,
! [X0: $tType] :
( linordered_idom(X0)
=> ! [X1: X0] : ( power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) = power_power(X0,abs_abs(X0,X1),number_number_of(nat,bit0(bit1(pls)))) ) ),
inference(rectify,[],[f58]) ).
tff(f58,axiom,
! [X0: $tType] :
( linordered_idom(X0)
=> ! [X7: X0] : ( power_power(X0,X7,number_number_of(nat,bit0(bit1(pls)))) = power_power(X0,abs_abs(X0,X7),number_number_of(nat,bit0(bit1(pls)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f675,plain,
ord_less_eq(real,power_power(real,abs_abs(real,times_times(real,x,number_number_of(real,bit0(bit1(pls))))),number_number_of(nat,bit0(bit1(pls)))),one_one(real)),
inference(backward_demodulation,[],[f575,f670]) ).
tff(f575,plain,
ord_less_eq(real,power_power(real,abs_abs(real,times_times(real,number_number_of(real,bit0(bit1(pls))),x)),number_number_of(nat,bit0(bit1(pls)))),one_one(real)),
inference(backward_demodulation,[],[f333,f574]) ).
tff(f574,plain,
! [X0: nat] : ( one_one(real) = power_power(real,one_one(real),X0) ),
inference(resolution,[],[f359,f307]) ).
tff(f307,plain,
monoid_mult(real),
inference(cnf_transformation,[],[f114]) ).
tff(f114,axiom,
monoid_mult(real),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f359,plain,
! [X0: $tType,X1: nat] :
( ~ monoid_mult(X0)
| ( one_one(X0) = power_power(X0,one_one(X0),X1) ) ),
inference(cnf_transformation,[],[f218]) ).
tff(f218,plain,
! [X0: $tType] :
( ! [X1: nat] : ( one_one(X0) = power_power(X0,one_one(X0),X1) )
| ~ monoid_mult(X0) ),
inference(ennf_transformation,[],[f150]) ).
tff(f150,plain,
! [X0: $tType] :
( monoid_mult(X0)
=> ! [X1: nat] : ( one_one(X0) = power_power(X0,one_one(X0),X1) ) ),
inference(rectify,[],[f96]) ).
tff(f96,axiom,
! [X0: $tType] :
( monoid_mult(X0)
=> ! [X6: nat] : ( one_one(X0) = power_power(X0,one_one(X0),X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f333,plain,
ord_less_eq(real,power_power(real,abs_abs(real,times_times(real,number_number_of(real,bit0(bit1(pls))),x)),number_number_of(nat,bit0(bit1(pls)))),power_power(real,one_one(real),number_number_of(nat,bit0(bit1(pls))))),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
ord_less_eq(real,power_power(real,abs_abs(real,times_times(real,number_number_of(real,bit0(bit1(pls))),x)),number_number_of(nat,bit0(bit1(pls)))),power_power(real,one_one(real),number_number_of(nat,bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW498_5 : TPTP v8.2.0. Released v6.0.0.
% 0.03/0.12 % Command : run_vampire %s %d SAT
% 0.13/0.34 % Computer : n007.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 04:20:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.36 This is a TF1_THM_EQU_NAR problem
% 0.21/0.37 Running first-order model finding
% 0.21/0.37 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.44 % (19666)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (19671)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.21/0.44 % (19671)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.44 % (19666)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (19667)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.23/0.44 % (19666)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (19672)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)
% 0.23/0.44 % (19666)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (19670)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)
% 0.23/0.44 % (19670)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.44 % (19666)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (19669)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.23/0.44 % Exception at run slice level
% 0.23/0.44 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.45 % (19666)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (19673)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)
% 0.23/0.45 % (19666)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (19668)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)
% 0.23/0.45 % (19670)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.45 % (19673)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.45 % Exception at run slice level
% 0.23/0.45 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.45 % Exception at run slice level
% 0.23/0.45 User error: Immediate (shared) subterms of term/literal number_number_of(min,X0) have different types/not well-typed!
% 0.23/0.45 % Exception at run slice level
% 0.23/0.45 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.46 % (19673)First to succeed.
% 0.23/0.46 % (19673)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19666"
% 0.23/0.46 % (19671)Also succeeded, but the first one will report.
% 0.23/0.47 % (19666)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.47 % (19673)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 % (19673)------------------------------
% 0.23/0.47 % (19673)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.47 % (19673)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.47 % (19673)Termination reason: Refutation
% 0.23/0.47
% 0.23/0.47 % (19673)Memory used [KB]: 1209
% 0.23/0.47 % (19673)Time elapsed: 0.021 s
% 0.23/0.47 % (19673)Instructions burned: 32 (million)
% 0.23/0.47 % (19673)------------------------------
% 0.23/0.47 % (19673)------------------------------
% 0.23/0.47 % (19666)Success in time 0.084 s
%------------------------------------------------------------------------------