TSTP Solution File: SWW486_5 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW486_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n012.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 18:53:24 EDT 2024
% Result : Theorem 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 38 ( 36 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-4 aty)
% Number of variables : 19 ( 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
complex: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
poly1: $tType > $tType ).
tff(type_def_8,type,
real: $tType ).
tff(type_def_9,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_2,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_3,type,
pCons:
!>[X0: $tType] : ( ( X0 * poly1(X0) ) > poly1(X0) ) ).
tff(func_def_4,type,
poly:
!>[X0: $tType] : ( poly1(X0) > fun(X0,X0) ) ).
tff(func_def_5,type,
norm_norm:
!>[X0: $tType] : ( X0 > real ) ).
tff(func_def_6,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_7,type,
fFalse: bool ).
tff(func_def_8,type,
fTrue: bool ).
tff(func_def_9,type,
c: complex ).
tff(func_def_10,type,
cs: poly1(complex) ).
tff(func_def_11,type,
m: real ).
tff(func_def_12,type,
r: real ).
tff(func_def_13,type,
z: complex ).
tff(func_def_14,type,
sK0: real ).
tff(func_def_15,type,
sK1:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_16,type,
sK2: real ).
tff(pred_def_1,type,
cancel1352612707id_add:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
idom:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
mult_zero:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
comm_semiring_0:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
linordered_ring:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
no_zero_divisors:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
ab_semigroup_mult:
!>[X0: $tType] : $o ).
tff(pred_def_18,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_19,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_20,type,
ring_n68954251visors:
!>[X0: $tType] : $o ).
tff(pred_def_21,type,
linord581940658strict:
!>[X0: $tType] : $o ).
tff(pred_def_22,type,
real_normed_vector:
!>[X0: $tType] : $o ).
tff(pred_def_23,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_24,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_25,type,
ordere216010020id_add:
!>[X0: $tType] : $o ).
tff(pred_def_26,type,
real_normed_algebra:
!>[X0: $tType] : $o ).
tff(pred_def_27,type,
ordere779506340up_add:
!>[X0: $tType] : $o ).
tff(pred_def_28,type,
ab_sem1668676832m_mult:
!>[X0: $tType] : $o ).
tff(pred_def_29,type,
linord20386208strict:
!>[X0: $tType] : $o ).
tff(pred_def_30,type,
real_n1866405975lgebra:
!>[X0: $tType] : $o ).
tff(pred_def_31,type,
linord893533164strict:
!>[X0: $tType] : $o ).
tff(pred_def_32,type,
ordere236663937imp_le:
!>[X0: $tType] : $o ).
tff(pred_def_33,type,
semiri456707255roduct:
!>[X0: $tType] : $o ).
tff(pred_def_34,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_35,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_36,type,
pp: bool > $o ).
tff(f1538,plain,
$false,
inference(resolution,[],[f1401,f509]) ).
tff(f509,plain,
~ ord_less_eq(real,norm_norm(complex,aa(complex,complex,poly(complex,pCons(complex,c,cs)),z)),plus_plus(real,norm_norm(complex,c),norm_norm(complex,times_times(complex,z,aa(complex,complex,poly(complex,cs),z))))),
inference(cnf_transformation,[],[f189]) ).
tff(f189,plain,
~ ord_less_eq(real,norm_norm(complex,aa(complex,complex,poly(complex,pCons(complex,c,cs)),z)),plus_plus(real,norm_norm(complex,c),norm_norm(complex,times_times(complex,z,aa(complex,complex,poly(complex,cs),z))))),
inference(flattening,[],[f188]) ).
tff(f188,negated_conjecture,
~ ord_less_eq(real,norm_norm(complex,aa(complex,complex,poly(complex,pCons(complex,c,cs)),z)),plus_plus(real,norm_norm(complex,c),norm_norm(complex,times_times(complex,z,aa(complex,complex,poly(complex,cs),z))))),
inference(negated_conjecture,[],[f187]) ).
tff(f187,conjecture,
ord_less_eq(real,norm_norm(complex,aa(complex,complex,poly(complex,pCons(complex,c,cs)),z)),plus_plus(real,norm_norm(complex,c),norm_norm(complex,times_times(complex,z,aa(complex,complex,poly(complex,cs),z))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f1401,plain,
ord_less_eq(real,norm_norm(complex,aa(complex,complex,poly(complex,pCons(complex,c,cs)),z)),plus_plus(real,norm_norm(complex,c),norm_norm(complex,times_times(complex,z,aa(complex,complex,poly(complex,cs),z))))),
inference(backward_demodulation,[],[f569,f1399]) ).
tff(f1399,plain,
! [X2: complex,X0: complex,X1: poly1(complex)] : ( aa(complex,complex,poly(complex,pCons(complex,X0,X1)),X2) = plus_plus(complex,X0,times_times(complex,X2,aa(complex,complex,poly(complex,X1),X2))) ),
inference(resolution,[],[f714,f561]) ).
tff(f561,plain,
comm_semiring_0(complex),
inference(cnf_transformation,[],[f152]) ).
tff(f152,axiom,
comm_semiring_0(complex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f714,plain,
! [X0: $tType,X2: poly1(X0),X3: X0,X1: X0] :
( ~ comm_semiring_0(X0)
| ( aa(X0,X0,poly(X0,pCons(X0,X3,X2)),X1) = plus_plus(X0,X3,times_times(X0,X1,aa(X0,X0,poly(X0,X2),X1))) ) ),
inference(cnf_transformation,[],[f438]) ).
tff(f438,plain,
! [X0: $tType] :
( ! [X1: X0,X2: poly1(X0),X3: X0] : ( aa(X0,X0,poly(X0,pCons(X0,X3,X2)),X1) = plus_plus(X0,X3,times_times(X0,X1,aa(X0,X0,poly(X0,X2),X1))) )
| ~ comm_semiring_0(X0) ),
inference(ennf_transformation,[],[f294]) ).
tff(f294,plain,
! [X0: $tType] :
( comm_semiring_0(X0)
=> ! [X1: X0,X2: poly1(X0),X3: X0] : ( aa(X0,X0,poly(X0,pCons(X0,X3,X2)),X1) = plus_plus(X0,X3,times_times(X0,X1,aa(X0,X0,poly(X0,X2),X1))) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X0: $tType] :
( comm_semiring_0(X0)
=> ! [X3: X0,X4: poly1(X0),X5: X0] : ( aa(X0,X0,poly(X0,pCons(X0,X5,X4)),X3) = plus_plus(X0,X5,times_times(X0,X3,aa(X0,X0,poly(X0,X4),X3))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f569,plain,
ord_less_eq(real,norm_norm(complex,plus_plus(complex,c,times_times(complex,z,aa(complex,complex,poly(complex,cs),z)))),plus_plus(real,norm_norm(complex,c),norm_norm(complex,times_times(complex,z,aa(complex,complex,poly(complex,cs),z))))),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
ord_less_eq(real,norm_norm(complex,plus_plus(complex,c,times_times(complex,z,aa(complex,complex,poly(complex,cs),z)))),plus_plus(real,norm_norm(complex,c),norm_norm(complex,times_times(complex,z,aa(complex,complex,poly(complex,cs),z))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW486_5 : TPTP v8.2.0. Released v6.0.0.
% 0.03/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 06:14:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.35 This is a TF1_THM_EQU_NAR problem
% 0.20/0.35 Running first-order model finding
% 0.20/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42 % (26273)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (26279)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 (3000ds/146Mi)
% 0.20/0.42 % (26273)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (26278)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.20/0.42 % (26273)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (26277)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 (3000ds/152523Mi)
% 0.20/0.42 % (26273)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (26276)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.20/0.42 % (26273)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (26274)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.20/0.42 % (26273)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (26280)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 (3000ds/115Mi)
% 0.20/0.42 % (26273)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (26275)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 (3000ds/99418Mi)
% 0.20/0.42 % (26278)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.42 % (26277)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.42 % (26280)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.42 % (26277)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.42 % Exception at run slice level
% 0.20/0.42 % Exception at run slice levelUser error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.42
% 0.20/0.42 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.42 % Exception at run slice level
% 0.20/0.42 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.42 % Exception at run slice level
% 0.20/0.42 User error: Immediate (shared) subterms of term/literal norm_norm(norm_norm,X0) have different types/not well-typed!
% 0.20/0.44 % (26280)First to succeed.
% 0.20/0.44 % (26280)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26273"
% 0.20/0.44 % (26273)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44 % (26280)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Theorem for theBenchmark
% 0.20/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (26280)------------------------------
% 0.20/0.44 % (26280)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44 % (26280)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44 % (26280)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (26280)Memory used [KB]: 1483
% 0.20/0.44 % (26280)Time elapsed: 0.025 s
% 0.20/0.44 % (26280)Instructions burned: 39 (million)
% 0.20/0.44 % (26280)------------------------------
% 0.20/0.44 % (26280)------------------------------
% 0.20/0.44 % (26273)Success in time 0.074 s
%------------------------------------------------------------------------------