TSTP Solution File: SYO527^1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO527^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 09:13:35 EDT 2024
% Result : Theorem 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 31 ( 14 unt; 15 typ; 0 def)
% Number of atoms : 92 ( 12 equ; 0 cnn)
% Maximal formula atoms : 2 ( 5 avg)
% Number of connectives : 11 ( 9 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 31 ( 30 >; 1 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 2 con; 0-6 aty)
% Number of variables : 30 ( 0 ^ 14 !; 10 ?; 30 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
r: a > b > $o ).
thf(func_def_6,type,
sK0: ( a > b ) > a ).
thf(func_def_7,type,
sK1: a > b ).
thf(func_def_9,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_10,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_11,type,
vAND: $o > $o > $o ).
thf(func_def_12,type,
vOR: $o > $o > $o ).
thf(func_def_13,type,
vIMP: $o > $o > $o ).
thf(func_def_14,type,
vNOT: $o > $o ).
thf(func_def_15,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f48,plain,
$false,
inference(trivial_inequality_removal,[],[f45]) ).
thf(f45,plain,
$true != $true,
inference(superposition,[],[f15,f16]) ).
thf(f16,plain,
! [X0: a] : ( $true = vAPP(b,$o,vAPP(a,sTfun(b,$o),r,X0),vAPP(a,b,sK1,X0)) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
! [X0: a] : ( $true = vAPP(b,$o,vAPP(a,sTfun(b,$o),r,X0),vAPP(a,b,sK1,X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f9,f13]) ).
thf(f13,plain,
! [X0: a] :
( ? [X1: b] : ( vAPP(b,$o,vAPP(a,sTfun(b,$o),r,X0),X1) = $true )
=> ( $true = vAPP(b,$o,vAPP(a,sTfun(b,$o),r,X0),vAPP(a,b,sK1,X0)) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
! [X0: a] :
? [X1: b] : ( vAPP(b,$o,vAPP(a,sTfun(b,$o),r,X0),X1) = $true ),
inference(fool_elimination,[],[f8]) ).
thf(f8,plain,
! [X0: a] :
? [X1: b] : vAPP(b,$o,vAPP(a,sTfun(b,$o),r,X0),X1),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X0: a] :
? [X1: b] : vAPP(b,$o,vAPP(a,sTfun(b,$o),r,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rtotal) ).
thf(f15,plain,
! [X0: a > b] : ( $true != vAPP(b,$o,vAPP(a,sTfun(b,$o),r,vAPP(sTfun(a,b),a,sK0,X0)),vAPP(a,b,X0,vAPP(sTfun(a,b),a,sK0,X0))) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
! [X0: a > b] : ( $true != vAPP(b,$o,vAPP(a,sTfun(b,$o),r,vAPP(sTfun(a,b),a,sK0,X0)),vAPP(a,b,X0,vAPP(sTfun(a,b),a,sK0,X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f10,f11]) ).
thf(f11,plain,
! [X0: a > b] :
( ? [X1: a] : ( $true != vAPP(b,$o,vAPP(a,sTfun(b,$o),r,X1),vAPP(a,b,X0,X1)) )
=> ( $true != vAPP(b,$o,vAPP(a,sTfun(b,$o),r,vAPP(sTfun(a,b),a,sK0,X0)),vAPP(a,b,X0,vAPP(sTfun(a,b),a,sK0,X0))) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
! [X0: a > b] :
? [X1: a] : ( $true != vAPP(b,$o,vAPP(a,sTfun(b,$o),r,X1),vAPP(a,b,X0,X1)) ),
inference(ennf_transformation,[],[f7]) ).
thf(f7,plain,
~ ? [X0: a > b] :
! [X1: a] : ( $true = vAPP(b,$o,vAPP(a,sTfun(b,$o),r,X1),vAPP(a,b,X0,X1)) ),
inference(fool_elimination,[],[f6]) ).
thf(f6,plain,
~ ? [X0: a > b] :
! [X1: a] : vAPP(b,$o,vAPP(a,sTfun(b,$o),r,X1),vAPP(a,b,X0,X1)),
inference(rectify,[],[f3]) ).
thf(f3,negated_conjecture,
~ ? [X2: a > b] :
! [X0: a] : vAPP(b,$o,vAPP(a,sTfun(b,$o),r,X0),vAPP(a,b,X2,X0)),
inference(negated_conjecture,[],[f2]) ).
thf(f2,conjecture,
? [X2: a > b] :
! [X0: a] : vAPP(b,$o,vAPP(a,sTfun(b,$o),r,X0),vAPP(a,b,X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',skolem) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO527^1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 10:22:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (10030)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (10036)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (10031)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % Exception at run slice level
% 0.22/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.38 % (10036)First to succeed.
% 0.22/0.38 % (10036)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10030"
% 0.22/0.38 % (10036)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Theorem for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (10036)------------------------------
% 0.22/0.38 % (10036)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (10036)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (10036)Memory used [KB]: 756
% 0.22/0.38 % (10036)Time elapsed: 0.004 s
% 0.22/0.38 % (10036)Instructions burned: 4 (million)
% 0.22/0.38 % (10030)Success in time 0.019 s
%------------------------------------------------------------------------------