TSTP Solution File: SYO012^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO012^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 09:09:56 EDT 2024
% Result : Theorem 0.08s 0.31s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 8 unt; 11 typ; 0 def)
% Number of atoms : 213 ( 36 equ; 0 cnn)
% Maximal formula atoms : 4 ( 8 avg)
% Number of connectives : 33 ( 8 ~; 14 |; 7 &; 0 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 19 ( 18 >; 1 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 4 con; 0-6 aty)
% Number of variables : 6 ( 0 ^ 0 !; 0 ?; 6 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
a: $o ).
thf(func_def_1,type,
b: $o ).
thf(func_def_2,type,
p: $o > $o ).
thf(func_def_6,type,
vAND: $o > $o > $o ).
thf(func_def_8,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_9,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
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(f78,plain,
$false,
inference(trivial_inequality_removal,[],[f75]) ).
thf(f75,plain,
$true = $false,
inference(backward_demodulation,[],[f63,f73]) ).
thf(f73,plain,
b = $false,
inference(trivial_inequality_removal,[],[f72]) ).
thf(f72,plain,
( ( $true = $false )
| ( b = $false ) ),
inference(forward_demodulation,[],[f55,f60]) ).
thf(f60,plain,
a = $true,
inference(duplicate_literal_removal,[],[f58]) ).
thf(f58,plain,
( ( a = $true )
| ( a = $true ) ),
inference(binary_proxy_clausification,[],[f57]) ).
thf(f57,plain,
( ( a = $true )
| ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,b),a) ) ),
inference(binary_proxy_clausification,[],[f51]) ).
thf(f51,plain,
( ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,a),b) )
| ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,b),a) ) ),
inference(binary_proxy_clausification,[],[f50]) ).
thf(f50,plain,
vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,a),b) != vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,b),a),
inference(trivial_inequality_removal,[],[f47]) ).
thf(f47,plain,
( ( $true != $true )
| ( vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,a),b) != vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,b),a) ) ),
inference(constrained_superposition,[],[f9,f8]) ).
thf(f8,plain,
$true = vAPP($o,$o,p,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,a),b)),
inference(cnf_transformation,[],[f7]) ).
thf(f7,plain,
( ( $true != vAPP($o,$o,p,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,b),a)) )
& ( $true = vAPP($o,$o,p,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,a),b)) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ( ( $true = vAPP($o,$o,p,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,a),b)) )
=> ( $true = vAPP($o,$o,p,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,b),a)) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ( vAPP($o,$o,p,
( b
& a ))
=> vAPP($o,$o,p,
( a
& b )) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( vAPP($o,$o,p,
( b
& a ))
=> vAPP($o,$o,p,
( a
& b )) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( vAPP($o,$o,p,
( b
& a ))
=> vAPP($o,$o,p,
( a
& b )) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f9,plain,
$true != vAPP($o,$o,p,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,b),a)),
inference(cnf_transformation,[],[f7]) ).
thf(f55,plain,
( ( b = $false )
| ( a = $false ) ),
inference(duplicate_literal_removal,[],[f54]) ).
thf(f54,plain,
( ( b = $false )
| ( a = $false )
| ( a = $false )
| ( b = $false ) ),
inference(binary_proxy_clausification,[],[f53]) ).
thf(f53,plain,
( ( b = $false )
| ( $false = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,b),a) )
| ( a = $false ) ),
inference(binary_proxy_clausification,[],[f52]) ).
thf(f52,plain,
( ( $false = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,a),b) )
| ( $false = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,b),a) ) ),
inference(binary_proxy_clausification,[],[f50]) ).
thf(f63,plain,
b = $true,
inference(duplicate_literal_removal,[],[f62]) ).
thf(f62,plain,
( ( b = $true )
| ( b = $true ) ),
inference(binary_proxy_clausification,[],[f56]) ).
thf(f56,plain,
( ( b = $true )
| ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,b),a) ) ),
inference(binary_proxy_clausification,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SYO012^1 : TPTP v8.2.0. Released v3.7.0.
% 0.00/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.29 % Computer : n032.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon May 20 08:42:08 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % (22274)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.31 % (22277)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)
% 0.08/0.31 % (22275)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.08/0.31 % (22276)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.08/0.31 % (22277)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.08/0.31 % (22278)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.08/0.31 % (22280)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.08/0.31 % (22278)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.08/0.31 % Exception at run slice level
% 0.08/0.31 % Exception at run slice level
% 0.08/0.31 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.31 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.31 % Exception at run slice level
% 0.08/0.31 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.31 % (22281)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)
% 0.08/0.31 % (22279)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.08/0.31 % Exception at run slice level
% 0.08/0.31 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.31 % (22277)First to succeed.
% 0.08/0.31 % (22280)Also succeeded, but the first one will report.
% 0.08/0.31 % (22277)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22274"
% 0.08/0.31 % (22277)Refutation found. Thanks to Tanya!
% 0.08/0.31 % SZS status Theorem for theBenchmark
% 0.08/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.31 % (22277)------------------------------
% 0.08/0.31 % (22277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.08/0.31 % (22277)Termination reason: Refutation
% 0.08/0.31
% 0.08/0.31 % (22277)Memory used [KB]: 771
% 0.08/0.31 % (22277)Time elapsed: 0.004 s
% 0.08/0.31 % (22277)Instructions burned: 5 (million)
% 0.08/0.31 % (22274)Success in time 0.016 s
%------------------------------------------------------------------------------