TSTP Solution File: SEV230^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV230^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : Tue May 21 04:15:28 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 44 ( 9 unt; 15 typ; 0 def)
% Number of atoms : 365 ( 98 equ; 0 cnn)
% Maximal formula atoms : 16 ( 12 avg)
% Number of connectives : 139 ( 45 ~; 30 |; 32 &; 0 @)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 78 ( 77 >; 1 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 3 con; 0-6 aty)
% Number of variables : 90 ( 0 ^ 57 !; 27 ?; 90 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: a > $o ).
thf(func_def_5,type,
sK1: a > $o ).
thf(func_def_6,type,
sK2: ( a > $o ) > $o ).
thf(func_def_7,type,
sK3: a > $o ).
thf(func_def_8,type,
sK4: a ).
thf(func_def_10,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_11,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_12,type,
vAND: $o > $o > $o ).
thf(func_def_13,type,
vOR: $o > $o > $o ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
vNOT: $o > $o ).
thf(func_def_16,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f70,plain,
$false,
inference(trivial_inequality_removal,[],[f69]) ).
thf(f69,plain,
$true = $false,
inference(forward_demodulation,[],[f68,f57]) ).
thf(f57,plain,
$false = vAPP(a,$o,sK0,sK4),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f56,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,sK0,sK4) ) ),
inference(superposition,[],[f54,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f54,plain,
$true != vAPP(a,$o,sK0,sK4),
inference(trivial_inequality_removal,[],[f53]) ).
thf(f53,plain,
( ( $true = $false )
| ( $true != vAPP(a,$o,sK0,sK4) ) ),
inference(superposition,[],[f30,f14]) ).
thf(f14,plain,
! [X7: a] :
( ( $true = vAPP(a,$o,sK1,X7) )
| ( $true != vAPP(a,$o,sK0,X7) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ( $true != vAPP(a,$o,sK1,sK4) )
& ( $true = vAPP(a,$o,sK3,sK4) )
& ( $true = vAPP(sTfun(a,$o),$o,sK2,sK3) )
& ! [X5: a > $o] :
( ! [X6: a] :
( ( $true = vAPP(a,$o,sK0,X6) )
| ( $true != vAPP(a,$o,X5,X6) ) )
| ( $true != vAPP(sTfun(a,$o),$o,sK2,X5) ) )
& ! [X7: a] :
( ( $true = vAPP(a,$o,sK1,X7) )
| ( $true != vAPP(a,$o,sK0,X7) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f8,f12,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: a > $o,X1: a > $o] :
( ? [X2: ( a > $o ) > $o] :
( ? [X3: a > $o] :
( ? [X4: a] :
( ( vAPP(a,$o,X1,X4) != $true )
& ( vAPP(a,$o,X3,X4) = $true ) )
& ( vAPP(sTfun(a,$o),$o,X2,X3) = $true ) )
& ! [X5: a > $o] :
( ! [X6: a] :
( ( $true = vAPP(a,$o,X0,X6) )
| ( $true != vAPP(a,$o,X5,X6) ) )
| ( $true != vAPP(sTfun(a,$o),$o,X2,X5) ) ) )
& ! [X7: a] :
( ( $true = vAPP(a,$o,X1,X7) )
| ( $true != vAPP(a,$o,X0,X7) ) ) )
=> ( ? [X2: ( a > $o ) > $o] :
( ? [X3: a > $o] :
( ? [X4: a] :
( ( $true != vAPP(a,$o,sK1,X4) )
& ( vAPP(a,$o,X3,X4) = $true ) )
& ( vAPP(sTfun(a,$o),$o,X2,X3) = $true ) )
& ! [X5: a > $o] :
( ! [X6: a] :
( ( $true = vAPP(a,$o,sK0,X6) )
| ( $true != vAPP(a,$o,X5,X6) ) )
| ( $true != vAPP(sTfun(a,$o),$o,X2,X5) ) ) )
& ! [X7: a] :
( ( $true = vAPP(a,$o,sK1,X7) )
| ( $true != vAPP(a,$o,sK0,X7) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X2: ( a > $o ) > $o] :
( ? [X3: a > $o] :
( ? [X4: a] :
( ( $true != vAPP(a,$o,sK1,X4) )
& ( vAPP(a,$o,X3,X4) = $true ) )
& ( vAPP(sTfun(a,$o),$o,X2,X3) = $true ) )
& ! [X5: a > $o] :
( ! [X6: a] :
( ( $true = vAPP(a,$o,sK0,X6) )
| ( $true != vAPP(a,$o,X5,X6) ) )
| ( $true != vAPP(sTfun(a,$o),$o,X2,X5) ) ) )
=> ( ? [X3: a > $o] :
( ? [X4: a] :
( ( $true != vAPP(a,$o,sK1,X4) )
& ( vAPP(a,$o,X3,X4) = $true ) )
& ( $true = vAPP(sTfun(a,$o),$o,sK2,X3) ) )
& ! [X5: a > $o] :
( ! [X6: a] :
( ( $true = vAPP(a,$o,sK0,X6) )
| ( $true != vAPP(a,$o,X5,X6) ) )
| ( $true != vAPP(sTfun(a,$o),$o,sK2,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X3: a > $o] :
( ? [X4: a] :
( ( $true != vAPP(a,$o,sK1,X4) )
& ( vAPP(a,$o,X3,X4) = $true ) )
& ( $true = vAPP(sTfun(a,$o),$o,sK2,X3) ) )
=> ( ? [X4: a] :
( ( $true != vAPP(a,$o,sK1,X4) )
& ( $true = vAPP(a,$o,sK3,X4) ) )
& ( $true = vAPP(sTfun(a,$o),$o,sK2,sK3) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ? [X4: a] :
( ( $true != vAPP(a,$o,sK1,X4) )
& ( $true = vAPP(a,$o,sK3,X4) ) )
=> ( ( $true != vAPP(a,$o,sK1,sK4) )
& ( $true = vAPP(a,$o,sK3,sK4) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > $o,X1: a > $o] :
( ? [X2: ( a > $o ) > $o] :
( ? [X3: a > $o] :
( ? [X4: a] :
( ( vAPP(a,$o,X1,X4) != $true )
& ( vAPP(a,$o,X3,X4) = $true ) )
& ( vAPP(sTfun(a,$o),$o,X2,X3) = $true ) )
& ! [X5: a > $o] :
( ! [X6: a] :
( ( $true = vAPP(a,$o,X0,X6) )
| ( $true != vAPP(a,$o,X5,X6) ) )
| ( $true != vAPP(sTfun(a,$o),$o,X2,X5) ) ) )
& ! [X7: a] :
( ( $true = vAPP(a,$o,X1,X7) )
| ( $true != vAPP(a,$o,X0,X7) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: a > $o,X1: a > $o] :
( ? [X3: ( a > $o ) > $o] :
( ? [X6: a > $o] :
( ? [X7: a] :
( ( $true != vAPP(a,$o,X1,X7) )
& ( $true = vAPP(a,$o,X6,X7) ) )
& ( $true = vAPP(sTfun(a,$o),$o,X3,X6) ) )
& ! [X4: a > $o] :
( ! [X5: a] :
( ( $true = vAPP(a,$o,X0,X5) )
| ( $true != vAPP(a,$o,X4,X5) ) )
| ( $true != vAPP(sTfun(a,$o),$o,X3,X4) ) ) )
& ! [X2: a] :
( ( vAPP(a,$o,X1,X2) = $true )
| ( vAPP(a,$o,X0,X2) != $true ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( vAPP(a,$o,X0,X2) = $true )
=> ( vAPP(a,$o,X1,X2) = $true ) )
=> ! [X3: ( a > $o ) > $o] :
( ! [X4: a > $o] :
( ( $true = vAPP(sTfun(a,$o),$o,X3,X4) )
=> ! [X5: a] :
( ( $true = vAPP(a,$o,X4,X5) )
=> ( $true = vAPP(a,$o,X0,X5) ) ) )
=> ! [X6: a > $o] :
( ( $true = vAPP(sTfun(a,$o),$o,X3,X6) )
=> ! [X7: a] :
( ( $true = vAPP(a,$o,X6,X7) )
=> ( $true = vAPP(a,$o,X1,X7) ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( vAPP(a,$o,X0,X2)
=> vAPP(a,$o,X1,X2) )
=> ! [X3: ( a > $o ) > $o] :
( ! [X4: a > $o] :
( vAPP(sTfun(a,$o),$o,X3,X4)
=> ! [X5: a] :
( vAPP(a,$o,X4,X5)
=> vAPP(a,$o,X0,X5) ) )
=> ! [X6: a > $o] :
( vAPP(sTfun(a,$o),$o,X3,X6)
=> ! [X7: a] :
( vAPP(a,$o,X6,X7)
=> vAPP(a,$o,X1,X7) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( vAPP(a,$o,X0,X2)
=> vAPP(a,$o,X1,X2) )
=> ! [X2: ( a > $o ) > $o] :
( ! [X3: a > $o] :
( vAPP(sTfun(a,$o),$o,X2,X3)
=> ! [X4: a] :
( vAPP(a,$o,X3,X4)
=> vAPP(a,$o,X0,X4) ) )
=> ! [X3: a > $o] :
( vAPP(sTfun(a,$o),$o,X2,X3)
=> ! [X4: a] :
( vAPP(a,$o,X3,X4)
=> vAPP(a,$o,X1,X4) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( vAPP(a,$o,X0,X2)
=> vAPP(a,$o,X1,X2) )
=> ! [X2: ( a > $o ) > $o] :
( ! [X3: a > $o] :
( vAPP(sTfun(a,$o),$o,X2,X3)
=> ! [X4: a] :
( vAPP(a,$o,X3,X4)
=> vAPP(a,$o,X0,X4) ) )
=> ! [X3: a > $o] :
( vAPP(sTfun(a,$o),$o,X2,X3)
=> ! [X4: a] :
( vAPP(a,$o,X3,X4)
=> vAPP(a,$o,X1,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM88_pme) ).
thf(f30,plain,
$false = vAPP(a,$o,sK1,sK4),
inference(trivial_inequality_removal,[],[f28]) ).
thf(f28,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,sK1,sK4) ) ),
inference(superposition,[],[f18,f4]) ).
thf(f18,plain,
$true != vAPP(a,$o,sK1,sK4),
inference(cnf_transformation,[],[f13]) ).
thf(f68,plain,
$true = vAPP(a,$o,sK0,sK4),
inference(trivial_inequality_removal,[],[f65]) ).
thf(f65,plain,
( ( $true != $true )
| ( $true = vAPP(a,$o,sK0,sK4) ) ),
inference(superposition,[],[f61,f17]) ).
thf(f17,plain,
$true = vAPP(a,$o,sK3,sK4),
inference(cnf_transformation,[],[f13]) ).
thf(f61,plain,
! [X0: a] :
( ( $true != vAPP(a,$o,sK3,X0) )
| ( $true = vAPP(a,$o,sK0,X0) ) ),
inference(trivial_inequality_removal,[],[f58]) ).
thf(f58,plain,
! [X0: a] :
( ( $true != $true )
| ( $true != vAPP(a,$o,sK3,X0) )
| ( $true = vAPP(a,$o,sK0,X0) ) ),
inference(superposition,[],[f15,f16]) ).
thf(f16,plain,
$true = vAPP(sTfun(a,$o),$o,sK2,sK3),
inference(cnf_transformation,[],[f13]) ).
thf(f15,plain,
! [X6: a,X5: a > $o] :
( ( $true != vAPP(sTfun(a,$o),$o,sK2,X5) )
| ( $true != vAPP(a,$o,X5,X6) )
| ( $true = vAPP(a,$o,sK0,X6) ) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SEV230^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 18:46:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (12241)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (12244)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37 % (12243)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (12242)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (12248)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (12246)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (12245)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (12247)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (12244)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37 % (12245)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37 % Exception at run slice level% Exception at run slice level% Exception at run slice level
% 0.14/0.37
% 0.14/0.37 % Exception at run slice levelUser error: User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructsFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (12244)First to succeed.
% 0.14/0.38 % (12246)Also succeeded, but the first one will report.
% 0.14/0.38 % (12247)Also succeeded, but the first one will report.
% 0.14/0.38 % (12244)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12241"
% 0.14/0.38 % (12244)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (12244)------------------------------
% 0.14/0.38 % (12244)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (12244)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (12244)Memory used [KB]: 771
% 0.14/0.38 % (12244)Time elapsed: 0.006 s
% 0.14/0.38 % (12244)Instructions burned: 6 (million)
% 0.14/0.38 % (12241)Success in time 0.011 s
%------------------------------------------------------------------------------