TSTP Solution File: SYO235^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO235^5 : 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 : n014.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 09:10:43 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 6 unt; 10 typ; 0 def)
% Number of atoms : 203 ( 58 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 54 ( 9 ~; 33 |; 1 &; 0 @)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 26 ( 25 >; 1 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 4 con; 0-6 aty)
% Number of variables : 14 ( 0 ^ 8 !; 0 ?; 14 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cB: $o ).
thf(func_def_1,type,
cA: $o ).
thf(func_def_5,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_6,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_7,type,
vAND: $o > $o > $o ).
thf(func_def_8,type,
vOR: $o > $o > $o ).
thf(func_def_9,type,
vIMP: $o > $o > $o ).
thf(func_def_10,type,
vNOT: $o > $o ).
thf(func_def_11,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f181,plain,
$false,
inference(trivial_inequality_removal,[],[f180]) ).
thf(f180,plain,
$true = $false,
inference(forward_demodulation,[],[f178,f106]) ).
thf(f106,plain,
cB = $false,
inference(trivial_inequality_removal,[],[f105]) ).
thf(f105,plain,
( ( $true = $false )
| ( cB = $false ) ),
inference(duplicate_literal_removal,[],[f99]) ).
thf(f99,plain,
( ( $true = $false )
| ( cB = $false )
| ( cB = $false ) ),
inference(superposition,[],[f98,f13]) ).
thf(f13,plain,
( ( cA = $false )
| ( cB = $false ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f9,plain,
cA != cB,
inference(cnf_transformation,[],[f7]) ).
thf(f7,plain,
( ( cA != cB )
& ( ( cA = cB )
| ! [X0: $o > $o] :
( ( vAPP($o,$o,X0,cB) = $true )
| ( vAPP($o,$o,X0,cA) != $true ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ( ( ( cA = cB )
| ! [X0: $o > $o] :
( ( vAPP($o,$o,X0,cA) = $true )
=> ( vAPP($o,$o,X0,cB) = $true ) ) )
=> ( cA = cB ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ( ( ( cA
<=> cB )
| ! [X0: $o > $o] :
( vAPP($o,$o,X0,cA)
=> vAPP($o,$o,X0,cB) ) )
=> ( cA = cB ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ( cA
<=> cB )
| ! [X0: $o > $o] :
( vAPP($o,$o,X0,cA)
=> vAPP($o,$o,X0,cB) ) )
=> ( cA = cB ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ( cA
<=> cB )
| ! [X0: $o > $o] :
( vAPP($o,$o,X0,cA)
=> vAPP($o,$o,X0,cB) ) )
=> ( cA = cB ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM505) ).
thf(f98,plain,
( ( cA = $true )
| ( cB = $false ) ),
inference(duplicate_literal_removal,[],[f96]) ).
thf(f96,plain,
( ( cA = $true )
| ( cB = $false )
| ( cA = $true )
| ( cB = $false ) ),
inference(binary_proxy_clausification,[],[f50]) ).
thf(f50,plain,
( ( cA = $true )
| ( cB = $false )
| ( cA = cB ) ),
inference(leibniz_equality_elimination,[],[f10]) ).
thf(f10,plain,
! [X0: $o > $o] :
( ( vAPP($o,$o,X0,cA) != $true )
| ( vAPP($o,$o,X0,cB) = $true )
| ( cA = $true )
| ( cB = $false ) ),
inference(binary_proxy_clausification,[],[f8]) ).
thf(f8,plain,
! [X0: $o > $o] :
( ( cA = cB )
| ( vAPP($o,$o,X0,cB) = $true )
| ( vAPP($o,$o,X0,cA) != $true ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f178,plain,
cB = $true,
inference(trivial_inequality_removal,[],[f169]) ).
thf(f169,plain,
( ( $true = $false )
| ( cB = $true ) ),
inference(superposition,[],[f167,f12]) ).
thf(f12,plain,
( ( cA = $true )
| ( cB = $true ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f167,plain,
cA = $false,
inference(trivial_inequality_removal,[],[f166]) ).
thf(f166,plain,
( ( $true = $false )
| ( cA = $false ) ),
inference(forward_demodulation,[],[f165,f106]) ).
thf(f165,plain,
( ( cA = $false )
| ( cB = $true ) ),
inference(duplicate_literal_removal,[],[f164]) ).
thf(f164,plain,
( ( cA = $false )
| ( cB = $true )
| ( cA = $false )
| ( cB = $true ) ),
inference(binary_proxy_clausification,[],[f109]) ).
thf(f109,plain,
( ( cA = $false )
| ( cB = $true )
| ( cA = cB ) ),
inference(leibniz_equality_elimination,[],[f11]) ).
thf(f11,plain,
! [X0: $o > $o] :
( ( vAPP($o,$o,X0,cA) != $true )
| ( vAPP($o,$o,X0,cB) = $true )
| ( cA = $false )
| ( cB = $true ) ),
inference(binary_proxy_clausification,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO235^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 10:13:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (4192)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (4199)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)
% 0.13/0.37 % (4195)WARNING: value z3 for option sas not known
% 0.13/0.37 % (4199)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % (4194)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (4196)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (4195)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)
% 0.13/0.37 % (4197)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)
% 0.13/0.37 % (4198)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)
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % (4193)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (4199)First to succeed.
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % (4199)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4192"
% 0.13/0.37 % (4199)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (4199)------------------------------
% 0.13/0.37 % (4199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (4199)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (4199)Memory used [KB]: 764
% 0.13/0.37 % (4199)Time elapsed: 0.005 s
% 0.13/0.37 % (4199)Instructions burned: 6 (million)
% 0.13/0.37 % (4192)Success in time 0.016 s
%------------------------------------------------------------------------------