TSTP Solution File: ANA123^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA123^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 May 20 18:41:52 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 28 ( 15 unt; 13 typ; 0 def)
% Number of atoms : 48 ( 9 equ; 0 cnn)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 22 ( 21 >; 1 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 2 con; 0-6 aty)
% Number of variables : 14 ( 3 ^ 3 !; 0 ?; 14 :)
% ( 8 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
'type/realax/real': $tType ).
thf(func_def_0,type,
'type/realax/real': $tType ).
thf(func_def_1,type,
'const/trivia/I':
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_2,type,
'const/iterate/polynomial_function': ( 'type/realax/real' > 'type/realax/real' ) > $o ).
thf(func_def_6,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_7,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_8,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_9,type,
vAND: $o > $o > $o ).
thf(func_def_10,type,
vOR: $o > $o > $o ).
thf(func_def_11,type,
vIMP: $o > $o > $o ).
thf(func_def_12,type,
vNOT: $o > $o ).
thf(func_def_13,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f17,plain,
$false,
inference(subsumption_resolution,[],[f16,f13]) ).
thf(f13,plain,
vAPP(sTfun('type/realax/real','type/realax/real'),$o,'const/iterate/polynomial_function','const/trivia/I'('type/realax/real')) != $true,
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
vAPP(sTfun('type/realax/real','type/realax/real'),$o,'const/iterate/polynomial_function','const/trivia/I'('type/realax/real')) != $true,
inference(flattening,[],[f8]) ).
thf(f8,plain,
vAPP(sTfun('type/realax/real','type/realax/real'),$o,'const/iterate/polynomial_function','const/trivia/I'('type/realax/real')) != $true,
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
~ vAPP(sTfun('type/realax/real','type/realax/real'),$o,'const/iterate/polynomial_function','const/trivia/I'('type/realax/real')),
inference(rectify,[],[f4]) ).
thf(f4,negated_conjecture,
~ vAPP(sTfun('type/realax/real','type/realax/real'),$o,'const/iterate/polynomial_function','const/trivia/I'('type/realax/real')),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
vAPP(sTfun('type/realax/real','type/realax/real'),$o,'const/iterate/polynomial_function','const/trivia/I'('type/realax/real')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/POLYNOMIAL_FUNCTION_I_') ).
thf(f16,plain,
vAPP(sTfun('type/realax/real','type/realax/real'),$o,'const/iterate/polynomial_function','const/trivia/I'('type/realax/real')) = $true,
inference(forward_demodulation,[],[f15,f14]) ).
thf(f14,plain,
! [X0: $tType] : ( 'const/trivia/I'(X0) = iCOMB ),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
! [X0: $tType] : ( 'const/trivia/I'(X0) = iCOMB ),
inference(fool_elimination,[],[f2]) ).
thf(f2,axiom,
! [X0: $tType] :
( 'const/trivia/I'(X0)
= ( ^ [X1: X0] : X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/trivia/I_DEF_') ).
thf(f15,plain,
$true = vAPP(sTfun('type/realax/real','type/realax/real'),$o,'const/iterate/polynomial_function',iCOMB),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
$true = vAPP(sTfun('type/realax/real','type/realax/real'),$o,'const/iterate/polynomial_function',iCOMB),
inference(fool_elimination,[],[f10]) ).
thf(f10,plain,
vAPP(sTfun('type/realax/real','type/realax/real'),$o,'const/iterate/polynomial_function',
^ [X0: 'type/realax/real'] : X0),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
vAPP(sTfun('type/realax/real','type/realax/real'),$o,'const/iterate/polynomial_function',
^ [X0: 'type/realax/real'] : X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/POLYNOMIAL_FUNCTION_ID_') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : ANA123^1 : TPTP v8.2.0. Released v7.0.0.
% 0.14/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n028.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Mon May 20 07:50:23 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (13082)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (13085)WARNING: value z3 for option sas not known
% 0.20/0.39 % (13084)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.39 % (13089)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)
% 0.20/0.39 % (13088)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)
% 0.20/0.39 % (13087)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.39 % (13085)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)
% 0.20/0.39 % (13090)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)
% 0.20/0.39 % Exception at run slice level
% 0.20/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.39 % Exception at run slice level
% 0.20/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.39 % (13090)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.39 % (13090)First to succeed.
% 0.20/0.39 % (13089)Also succeeded, but the first one will report.
% 0.20/0.39 % (13088)Also succeeded, but the first one will report.
% 0.20/0.39 % (13090)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13082"
% 0.20/0.39 % (13085)Also succeeded, but the first one will report.
% 0.20/0.39 % (13090)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (13090)------------------------------
% 0.20/0.39 % (13090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39 % (13090)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (13090)Memory used [KB]: 749
% 0.20/0.39 % (13090)Time elapsed: 0.002 s
% 0.20/0.39 % (13090)Instructions burned: 3 (million)
% 0.20/0.39 % (13082)Success in time 0.017 s
%------------------------------------------------------------------------------