TSTP Solution File: SWV573_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV573_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 : n026.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 11:07:37 EDT 2024
% Result : Theorem 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 50
% Syntax : Number of formulae : 63 ( 17 unt; 46 typ; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 6 ( 5 usr)
% Number of type conns : 39 ( 25 >; 14 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 4 con; 0-4 aty)
% Number of variables : 37 ( 11 !; 0 ?; 37 :)
% ( 26 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
complex1: $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(type_def_10,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
im: complex1 > real ).
tff(func_def_1,type,
re: complex1 > real ).
tff(func_def_2,type,
complex: ( real * real ) > complex1 ).
tff(func_def_3,type,
complex_case:
!>[X0: $tType] : ( ( fun(real,fun(real,X0)) * complex1 ) > X0 ) ).
tff(func_def_4,type,
complex_rec:
!>[X0: $tType] : ( ( fun(real,fun(real,X0)) * complex1 ) > X0 ) ).
tff(func_def_5,type,
complex_size: complex1 > nat ).
tff(func_def_6,type,
ii: complex1 ).
tff(func_def_7,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_8,type,
if:
!>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).
tff(func_def_9,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_10,type,
semiri532925092at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_11,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_12,type,
norm_norm:
!>[X0: $tType] : ( X0 > real ) ).
tff(func_def_13,type,
of_real:
!>[X0: $tType] : ( real > X0 ) ).
tff(func_def_14,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_15,type,
fFalse: bool ).
tff(func_def_16,type,
fTrue: bool ).
tff(func_def_17,type,
n: nat ).
tff(func_def_18,type,
sK1: fun(int,bool) > nat ).
tff(func_def_19,type,
sK2: fun(int,bool) > int ).
tff(func_def_20,type,
sK3: fun(int,bool) > int ).
tff(func_def_21,type,
sK4: fun(int,bool) > nat ).
tff(func_def_22,type,
sK5: complex1 > real ).
tff(func_def_23,type,
sK6: complex1 > real ).
tff(func_def_24,type,
sK7:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(pred_def_1,type,
zero:
!>[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,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
real_algebra_1:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
real_normed_vector:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
real_n2089651433ebra_1:
!>[X0: $tType] : $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,
pp: bool > $o ).
tff(pred_def_15,type,
sP0: ( nat * nat * fun(nat,fun(nat,bool)) ) > $o ).
tff(f840,plain,
$false,
inference(trivial_inequality_removal,[],[f825]) ).
tff(f825,plain,
semiring_1_of_nat(complex1,n) != semiring_1_of_nat(complex1,n),
inference(superposition,[],[f359,f607]) ).
tff(f607,plain,
! [X0: nat] : ( semiring_1_of_nat(complex1,X0) = complex(semiring_1_of_nat(real,X0),zero_zero(real)) ),
inference(forward_demodulation,[],[f602,f424]) ).
tff(f424,plain,
! [X0: nat] : ( re(semiring_1_of_nat(complex1,X0)) = semiring_1_of_nat(real,X0) ),
inference(cnf_transformation,[],[f165]) ).
tff(f165,plain,
! [X0: nat] : ( re(semiring_1_of_nat(complex1,X0)) = semiring_1_of_nat(real,X0) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X10: nat] : ( re(semiring_1_of_nat(complex1,X10)) = semiring_1_of_nat(real,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_complex__Re__of__nat) ).
tff(f602,plain,
! [X0: nat] : ( semiring_1_of_nat(complex1,X0) = complex(re(semiring_1_of_nat(complex1,X0)),zero_zero(real)) ),
inference(superposition,[],[f419,f418]) ).
tff(f418,plain,
! [X0: nat] : ( zero_zero(real) = im(semiring_1_of_nat(complex1,X0)) ),
inference(cnf_transformation,[],[f159]) ).
tff(f159,plain,
! [X0: nat] : ( zero_zero(real) = im(semiring_1_of_nat(complex1,X0)) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X10: nat] : ( im(semiring_1_of_nat(complex1,X10)) = zero_zero(real) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_complex__Im__of__nat) ).
tff(f419,plain,
! [X0: complex1] : ( complex(re(X0),im(X0)) = X0 ),
inference(cnf_transformation,[],[f160]) ).
tff(f160,plain,
! [X0: complex1] : ( complex(re(X0),im(X0)) = X0 ),
inference(rectify,[],[f25]) ).
tff(f25,axiom,
! [X16: complex1] : ( complex(re(X16),im(X16)) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_complex__surj) ).
tff(f359,plain,
semiring_1_of_nat(complex1,n) != complex(semiring_1_of_nat(real,n),zero_zero(real)),
inference(cnf_transformation,[],[f147]) ).
tff(f147,plain,
semiring_1_of_nat(complex1,n) != complex(semiring_1_of_nat(real,n),zero_zero(real)),
inference(flattening,[],[f146]) ).
tff(f146,negated_conjecture,
( ~ semiring_1_of_nat(complex1,n) = complex(semiring_1_of_nat(real,n),zero_zero(real)) ),
inference(negated_conjecture,[],[f145]) ).
tff(f145,conjecture,
semiring_1_of_nat(complex1,n) = complex(semiring_1_of_nat(real,n),zero_zero(real)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV573_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n026.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 : Fri May 3 20:57:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (14515)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (14518)WARNING: value z3 for option sas not known
% 0.15/0.39 % (14519)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (14521)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)
% 0.15/0.39 % (14520)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)
% 0.15/0.39 % (14517)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (14522)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)
% 0.15/0.39 % (14518)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)
% 0.15/0.39 % (14516)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (14522)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.40 % Exception at run slice level% Exception at run slice level
% 0.22/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.40
% 0.22/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.40 % Exception at run slice level
% 0.22/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.41 % (14521)First to succeed.
% 0.22/0.41 % (14521)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14515"
% 0.22/0.41 % (14522)Also succeeded, but the first one will report.
% 0.22/0.41 % (14521)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Theorem for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (14521)------------------------------
% 0.22/0.41 % (14521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.41 % (14521)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (14521)Memory used [KB]: 1167
% 0.22/0.41 % (14521)Time elapsed: 0.018 s
% 0.22/0.41 % (14521)Instructions burned: 26 (million)
% 0.22/0.41 % (14515)Success in time 0.027 s
%------------------------------------------------------------------------------