TSTP Solution File: SEU888^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU888^5 : 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 : n011.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 04:06:57 EDT 2024
% Result : Theorem 0.16s 0.34s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of formulae : 33 ( 7 unt; 16 typ; 0 def)
% Number of atoms : 57 ( 27 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 33 ( 14 ~; 10 |; 4 &; 0 @)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 19 ( 18 >; 1 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 8 con; 0-6 aty)
% Number of variables : 11 ( 0 ^ 3 !; 2 ?; 11 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
b: $tType ).
thf(func_def_1,type,
a: $tType ).
thf(func_def_2,type,
g: b > a ).
thf(func_def_3,type,
z: a ).
thf(func_def_4,type,
y: b ).
thf(func_def_5,type,
x: b ).
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(f27,plain,
$false,
inference(avatar_sat_refutation,[],[f15,f20,f25,f26]) ).
thf(f26,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f6,f12,f17]) ).
thf(f17,plain,
( spl0_2
<=> ( z = vAPP(b,a,g,x) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f12,plain,
( spl0_1
<=> ( z = vAPP(b,a,g,y) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f6,plain,
( ( z = vAPP(b,a,g,y) )
| ( z = vAPP(b,a,g,x) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( ! [X0: b] :
( ( z != vAPP(b,a,g,X0) )
| ( ( y != X0 )
& ( x != X0 ) ) )
& ( ( z = vAPP(b,a,g,y) )
| ( z = vAPP(b,a,g,x) ) ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ( z = vAPP(b,a,g,y) )
| ( z = vAPP(b,a,g,x) ) )
=> ? [X0: b] :
( ( z = vAPP(b,a,g,X0) )
& ( ( y = X0 )
| ( x = X0 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ( z = vAPP(b,a,g,y) )
| ( z = vAPP(b,a,g,x) ) )
=> ? [X0: b] :
( ( z = vAPP(b,a,g,X0) )
& ( ( y = X0 )
| ( x = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM500C_WFF_pme) ).
thf(f25,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f3,f22]) ).
thf(f22,plain,
( spl0_3
<=> ( $true = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f3,plain,
$true != $false,
introduced(fool_axiom,[]) ).
thf(f20,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f10,f17]) ).
thf(f10,plain,
z != vAPP(b,a,g,x),
inference(equality_resolution,[],[f7]) ).
thf(f7,plain,
! [X0: b] :
( ( z != vAPP(b,a,g,X0) )
| ( x != X0 ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f15,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f9,f12]) ).
thf(f9,plain,
z != vAPP(b,a,g,y),
inference(equality_resolution,[],[f8]) ).
thf(f8,plain,
! [X0: b] :
( ( z != vAPP(b,a,g,X0) )
| ( y != X0 ) ),
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU888^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n011.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun May 19 17:21:53 EDT 2024
% 0.16/0.32 % CPUTime :
% 0.16/0.32 % (1973)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (1976)WARNING: value z3 for option sas not known
% 0.16/0.33 % (1977)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (1975)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (1979)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)
% 0.16/0.33 % (1974)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (1976)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)
% 0.16/0.33 % (1978)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)
% 0.16/0.33 % Exception at run slice level% Exception at run slice level
% 0.16/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.33 % Exception at run slice level
% 0.16/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.33
% 0.16/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.34 % (1980)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)
% 0.16/0.34 % (1978)First to succeed.
% 0.16/0.34 % (1980)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.34 % (1979)Also succeeded, but the first one will report.
% 0.16/0.34 % (1978)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1973"
% 0.16/0.34 % (1976)Also succeeded, but the first one will report.
% 0.16/0.34 % (1980)Also succeeded, but the first one will report.
% 0.16/0.34 % (1978)Refutation found. Thanks to Tanya!
% 0.16/0.34 % SZS status Theorem for theBenchmark
% 0.16/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.34 % (1978)------------------------------
% 0.16/0.34 % (1978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.34 % (1978)Termination reason: Refutation
% 0.16/0.34
% 0.16/0.34 % (1978)Memory used [KB]: 752
% 0.16/0.34 % (1978)Time elapsed: 0.003 s
% 0.16/0.34 % (1978)Instructions burned: 3 (million)
% 0.16/0.34 % (1973)Success in time 0.017 s
%------------------------------------------------------------------------------