TSTP Solution File: SWW490_5 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW490_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n015.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 0.24s 0.47s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 6 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 3 con; 0-5 aty)
% Number of variables : 15 ( 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(type_def_8,type,
poly: $tType > $tType ).
tff(type_def_9,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
fundam296178794t_poly:
!>[X0: $tType] : ( ( poly(X0) * X0 ) > poly(X0) ) ).
tff(func_def_1,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_2,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_3,type,
if:
!>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).
tff(func_def_4,type,
suc: nat > nat ).
tff(func_def_5,type,
nat_case:
!>[X0: $tType] : ( ( X0 * fun(nat,X0) ) > fun(nat,X0) ) ).
tff(func_def_6,type,
semiri532925092at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_7,type,
abs_poly:
!>[X0: $tType] : ( fun(nat,X0) > poly(X0) ) ).
tff(func_def_8,type,
coeff:
!>[X0: $tType] : ( poly(X0) > fun(nat,X0) ) ).
tff(func_def_9,type,
degree:
!>[X0: $tType] : ( poly(X0) > nat ) ).
tff(func_def_10,type,
monom:
!>[X0: $tType] : ( ( X0 * nat ) > poly(X0) ) ).
tff(func_def_11,type,
order:
!>[X0: $tType] : ( ( X0 * poly(X0) ) > nat ) ).
tff(func_def_12,type,
pCons:
!>[X0: $tType] : ( ( X0 * poly(X0) ) > poly(X0) ) ).
tff(func_def_13,type,
pcompose:
!>[X0: $tType] : ( ( poly(X0) * poly(X0) ) > poly(X0) ) ).
tff(func_def_14,type,
poly1:
!>[X0: $tType] : ( poly(X0) > fun(X0,X0) ) ).
tff(func_def_15,type,
poly_rec:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(poly(X1),fun(X0,X0))) * poly(X1) ) > X0 ) ).
tff(func_def_16,type,
smult:
!>[X0: $tType] : ( ( X0 * poly(X0) ) > poly(X0) ) ).
tff(func_def_17,type,
synthetic_div:
!>[X0: $tType] : ( ( poly(X0) * X0 ) > poly(X0) ) ).
tff(func_def_18,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_19,type,
fFalse: bool ).
tff(func_def_20,type,
fTrue: bool ).
tff(func_def_21,type,
fequal:
!>[X0: $tType] : ( ( X0 * X0 ) > bool ) ).
tff(func_def_22,type,
h: a ).
tff(func_def_23,type,
sK0:
!>[X0: $tType] : ( poly(X0) > X0 ) ).
tff(func_def_24,type,
sK1:
!>[X0: $tType] : ( poly(X0) > poly(X0) ) ).
tff(func_def_25,type,
sK2:
!>[X0: $tType] : ( fun(poly(X0),bool) > X0 ) ).
tff(func_def_26,type,
sK3:
!>[X0: $tType] : ( fun(poly(X0),bool) > poly(X0) ) ).
tff(func_def_27,type,
sK4:
!>[X0: $tType] : ( ( poly(X0) * poly(X0) ) > nat ) ).
tff(func_def_28,type,
sK5:
!>[X0: $tType] : ( ( poly(X0) * poly(X0) ) > nat ) ).
tff(func_def_29,type,
sK6: nat > nat ).
tff(func_def_30,type,
sK7: nat > nat ).
tff(func_def_31,type,
sK8: fun(nat,bool) > nat ).
tff(func_def_32,type,
sK9: fun(nat,bool) > nat ).
tff(func_def_33,type,
sK10:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
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,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
comm_semiring_0:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
pp: bool > $o ).
tff(f1572,plain,
$false,
inference(trivial_inequality_removal,[],[f1569]) ).
tff(f1569,plain,
zero_zero(nat) != zero_zero(nat),
inference(superposition,[],[f819,f700]) ).
tff(f700,plain,
zero_zero(nat) = degree(a,zero_zero(poly(a))),
inference(resolution,[],[f501,f601]) ).
tff(f601,plain,
zero(a),
inference(resolution,[],[f475,f404]) ).
tff(f404,plain,
comm_semiring_0(a),
inference(cnf_transformation,[],[f136]) ).
tff(f136,axiom,
comm_semiring_0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f475,plain,
! [X0: $tType] :
( ~ comm_semiring_0(X0)
| zero(X0) ),
inference(cnf_transformation,[],[f292]) ).
tff(f292,plain,
! [X0: $tType] :
( zero(X0)
| ~ comm_semiring_0(X0) ),
inference(ennf_transformation,[],[f102]) ).
tff(f102,axiom,
! [X0: $tType] :
( comm_semiring_0(X0)
=> zero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f501,plain,
! [X0: $tType] :
( ~ zero(X0)
| ( degree(X0,zero_zero(poly(X0))) = zero_zero(nat) ) ),
inference(cnf_transformation,[],[f315]) ).
tff(f315,plain,
! [X0: $tType] :
( ( degree(X0,zero_zero(poly(X0))) = zero_zero(nat) )
| ~ zero(X0) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,axiom,
! [X0: $tType] :
( zero(X0)
=> ( degree(X0,zero_zero(poly(X0))) = zero_zero(nat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f819,plain,
zero_zero(nat) != degree(a,zero_zero(poly(a))),
inference(backward_demodulation,[],[f703,f816]) ).
tff(f816,plain,
! [X0: a] : ( zero_zero(poly(a)) = fundam296178794t_poly(a,zero_zero(poly(a)),X0) ),
inference(resolution,[],[f480,f404]) ).
tff(f480,plain,
! [X0: $tType,X1: X0] :
( ~ comm_semiring_0(X0)
| ( zero_zero(poly(X0)) = fundam296178794t_poly(X0,zero_zero(poly(X0)),X1) ) ),
inference(cnf_transformation,[],[f297]) ).
tff(f297,plain,
! [X0: $tType] :
( ! [X1: X0] : ( zero_zero(poly(X0)) = fundam296178794t_poly(X0,zero_zero(poly(X0)),X1) )
| ~ comm_semiring_0(X0) ),
inference(ennf_transformation,[],[f188]) ).
tff(f188,plain,
! [X0: $tType] :
( comm_semiring_0(X0)
=> ! [X1: X0] : ( zero_zero(poly(X0)) = fundam296178794t_poly(X0,zero_zero(poly(X0)),X1) ) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X0: $tType] :
( comm_semiring_0(X0)
=> ! [X3: X0] : ( zero_zero(poly(X0)) = fundam296178794t_poly(X0,zero_zero(poly(X0)),X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f703,plain,
zero_zero(nat) != degree(a,fundam296178794t_poly(a,zero_zero(poly(a)),h)),
inference(backward_demodulation,[],[f403,f700]) ).
tff(f403,plain,
degree(a,fundam296178794t_poly(a,zero_zero(poly(a)),h)) != degree(a,zero_zero(poly(a))),
inference(cnf_transformation,[],[f137]) ).
tff(f137,plain,
degree(a,fundam296178794t_poly(a,zero_zero(poly(a)),h)) != degree(a,zero_zero(poly(a))),
inference(flattening,[],[f135]) ).
tff(f135,negated_conjecture,
( ~ degree(a,fundam296178794t_poly(a,zero_zero(poly(a)),h)) = degree(a,zero_zero(poly(a))) ),
inference(negated_conjecture,[],[f134]) ).
tff(f134,conjecture,
degree(a,fundam296178794t_poly(a,zero_zero(poly(a)),h)) = degree(a,zero_zero(poly(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW490_5 : TPTP v8.2.0. Released v6.0.0.
% 0.11/0.13 % Command : run_vampire %s %d SAT
% 0.12/0.36 % Computer : n015.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Jun 19 06:28:54 EDT 2024
% 0.12/0.36 % CPUTime :
% 0.12/0.37 This is a TF1_THM_EQU_NAR problem
% 0.12/0.38 Running first-order model finding
% 0.12/0.38 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.44 % (6510)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (6513)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.24/0.44 % (6510)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (6516)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)
% 0.24/0.44 % (6510)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (6512)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)
% 0.24/0.44 % (6510)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (6511)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.24/0.44 % (6510)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (6514)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)
% 0.24/0.44 % (6510)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (6515)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.24/0.44 % (6510)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (6517)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)
% 0.24/0.44 % (6514)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.24/0.44 % (6515)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.24/0.44 % (6517)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.24/0.45 % (6514)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.24/0.45 % Exception at run slice level
% 0.24/0.45 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.24/0.45 % Exception at run slice level
% 0.24/0.45 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.24/0.45 % Exception at run slice level
% 0.24/0.45 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.24/0.45 % (6516)Aborted by signal SIGSEGV on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.45 % (6516)------------------------------
% 0.24/0.45 % (6516)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.45 % (6516)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.45 % (6516)Termination reason: Unknown
% 0.24/0.45 % (6516)Termination phase: Saturation
% 0.24/0.45
% 0.24/0.45 % (6516)Memory used [KB]: 999
% 0.24/0.45 % (6516)Time elapsed: 0.006 s
% 0.24/0.45 % (6516)Instructions burned: 9 (million)
% 0.24/0.45 % (6516)------------------------------
% 0.24/0.45 % (6516)------------------------------
% 0.24/0.45 Version : Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.45 call stack: 0x416001 0x1cd76a0 0x1cd5fa4 0x41c856 0x4193c6 0xa45fc5 0xa4c1bf 0xa4cf76 0xa4d5a0 0x769598 0x7693f1 0x4f70af 0x7735d4 0x762d9c 0x715101 0x54d462 0x669b24 0x53ec63 0x53b01e 0x4e7fbe 0x54f63d 0x1ceab70 0x489180 0x41f883
% 0.24/0.45 (use '--traceback on' to get a human-readable stack trace)
% 0.24/0.47 % (6517)First to succeed.
% 0.24/0.47 % (6517)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6510"
% 0.24/0.47 % (6510)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.47 % (6517)Refutation found. Thanks to Tanya!
% 0.24/0.47 % SZS status Theorem for theBenchmark
% 0.24/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.47 % (6517)------------------------------
% 0.24/0.47 % (6517)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.47 % (6517)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.47 % (6517)Termination reason: Refutation
% 0.24/0.47
% 0.24/0.47 % (6517)Memory used [KB]: 1435
% 0.24/0.47 % (6517)Time elapsed: 0.026 s
% 0.24/0.47 % (6517)Instructions burned: 42 (million)
% 0.24/0.47 % (6517)------------------------------
% 0.24/0.47 % (6517)------------------------------
% 0.24/0.47 % (6510)Success in time 0.084 s
%------------------------------------------------------------------------------