TSTP Solution File: SYO040^2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO040^2 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 09:10:04 EDT 2024
% Result : Theorem 0.20s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 13
% Syntax : Number of formulae : 71 ( 15 unt; 11 typ; 0 def)
% Number of atoms : 693 ( 154 equ; 0 cnn)
% Maximal formula atoms : 7 ( 11 avg)
% Number of connectives : 127 ( 32 ~; 95 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 19 >; 1 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 3 con; 0-6 aty)
% Number of variables : 17 ( 0 ^ 11 !; 0 ?; 17 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
f: $o > $o ).
thf(func_def_1,type,
h: $o > $i ).
thf(func_def_2,type,
x: $o ).
thf(func_def_6,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_7,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_8,type,
vAND: $o > $o > $o ).
thf(func_def_9,type,
vOR: $o > $o > $o ).
thf(func_def_10,type,
vIMP: $o > $o > $o ).
thf(func_def_11,type,
vNOT: $o > $o ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f1413,plain,
$false,
inference(subsumption_resolution,[],[f1412,f1378]) ).
thf(f1378,plain,
$true = vAPP($o,$o,f,$true),
inference(unit_resulting_resolution,[],[f1358,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f1358,plain,
$false != vAPP($o,$o,f,$true),
inference(forward_demodulation,[],[f1357,f1327]) ).
thf(f1327,plain,
$true = vAPP($o,$o,f,$false),
inference(trivial_inequality_removal,[],[f1326]) ).
thf(f1326,plain,
( ( $true = $false )
| ( $true = vAPP($o,$o,f,$false) ) ),
inference(forward_demodulation,[],[f1315,f1305]) ).
thf(f1305,plain,
x = $false,
inference(trivial_inequality_removal,[],[f1304]) ).
thf(f1304,plain,
( ( $true = $false )
| ( x = $false ) ),
inference(duplicate_literal_removal,[],[f1161]) ).
thf(f1161,plain,
( ( $true = $false )
| ( x = $false )
| ( x = $false )
| ( x = $false ) ),
inference(superposition,[],[f1158,f428]) ).
thf(f428,plain,
! [X0: $o] :
( ( $true = vAPP($o,$o,f,X0) )
| ( x = $false )
| ( $false = X0 ) ),
inference(duplicate_literal_removal,[],[f426]) ).
thf(f426,plain,
! [X0: $o] :
( ( $true = vAPP($o,$o,f,X0) )
| ( x = $false )
| ( $false = X0 )
| ( $false = X0 ) ),
inference(binary_proxy_clausification,[],[f413]) ).
thf(f413,plain,
! [X0: $o] :
( ( vAPP($o,$o,f,X0) = X0 )
| ( x = $false )
| ( $false = X0 ) ),
inference(superposition,[],[f412,f4]) ).
thf(f412,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( x = $false ) ),
inference(duplicate_literal_removal,[],[f379]) ).
thf(f379,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( x = $false )
| ( x = $false ) ),
inference(superposition,[],[f348,f4]) ).
thf(f348,plain,
( ( vAPP($o,$o,f,x) = $true )
| ( x = $false ) ),
inference(trivial_inequality_removal,[],[f347]) ).
thf(f347,plain,
( ( $true != $true )
| ( vAPP($o,$o,f,x) = $true )
| ( x = $false ) ),
inference(duplicate_literal_removal,[],[f342]) ).
thf(f342,plain,
( ( $true != $true )
| ( vAPP($o,$o,f,x) = $true )
| ( x = $false )
| ( x = $false ) ),
inference(equality_factoring,[],[f321]) ).
thf(f321,plain,
! [X0: $o] :
( ( $true = vAPP($o,$o,f,X0) )
| ( vAPP($o,$o,f,x) = $true )
| ( $false = X0 )
| ( x = $false ) ),
inference(subsumption_resolution,[],[f318,f4]) ).
thf(f318,plain,
! [X0: $o] :
( ( $true = vAPP($o,$o,f,X0) )
| ( x = $false )
| ( $false = X0 )
| ( vAPP($o,$o,f,x) = $true )
| ( vAPP($o,$o,f,x) != $false ) ),
inference(trivial_inequality_removal,[],[f317]) ).
thf(f317,plain,
! [X0: $o] :
( ( $true = $false )
| ( $true = vAPP($o,$o,f,X0) )
| ( x = $false )
| ( $false = X0 )
| ( vAPP($o,$o,f,x) = $true )
| ( vAPP($o,$o,f,x) != $false ) ),
inference(duplicate_literal_removal,[],[f288]) ).
thf(f288,plain,
! [X0: $o] :
( ( $true = $false )
| ( $true = vAPP($o,$o,f,X0) )
| ( x = $false )
| ( $false = X0 )
| ( x = $false )
| ( vAPP($o,$o,f,x) = $true )
| ( vAPP($o,$o,f,x) != $false ) ),
inference(constrained_superposition,[],[f285,f55]) ).
thf(f55,plain,
( ( vAPP($o,$o,f,vAPP($o,$o,f,x)) = $false )
| ( x = $false )
| ( vAPP($o,$o,f,x) = $true ) ),
inference(binary_proxy_clausification,[],[f53]) ).
thf(f53,plain,
( ( vAPP($o,$o,f,x) = $true )
| ( x != vAPP($o,$o,f,vAPP($o,$o,f,x)) ) ),
inference(trivial_inequality_removal,[],[f52]) ).
thf(f52,plain,
( ( $true != $true )
| ( vAPP($o,$o,f,x) = $true )
| ( x != vAPP($o,$o,f,vAPP($o,$o,f,x)) ) ),
inference(equality_factoring,[],[f42]) ).
thf(f42,plain,
( ( vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))) = $true )
| ( vAPP($o,$o,f,x) = $true ) ),
inference(binary_proxy_clausification,[],[f41]) ).
thf(f41,plain,
vAPP($o,$o,f,x) != vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))),
inference(equality_resolution,[],[f6]) ).
thf(f6,plain,
vAPP($o,$i,h,vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x)))) != vAPP($o,$i,h,vAPP($o,$o,f,x)),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
vAPP($o,$i,h,vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x)))) != vAPP($o,$i,h,vAPP($o,$o,f,x)),
inference(flattening,[],[f2]) ).
thf(f2,negated_conjecture,
vAPP($o,$i,h,vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x)))) != vAPP($o,$i,h,vAPP($o,$o,f,x)),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
vAPP($o,$i,h,vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x)))) = vAPP($o,$i,h,vAPP($o,$o,f,x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',2) ).
thf(f285,plain,
! [X0: $o] :
( ( $true = vAPP($o,$o,f,X0) )
| ( $true = vAPP($o,$o,f,$false) )
| ( x = $false )
| ( $false = X0 ) ),
inference(duplicate_literal_removal,[],[f283]) ).
thf(f283,plain,
! [X0: $o] :
( ( $true = vAPP($o,$o,f,X0) )
| ( $true = vAPP($o,$o,f,$false) )
| ( x = $false )
| ( $false = X0 )
| ( $false = X0 ) ),
inference(binary_proxy_clausification,[],[f268]) ).
thf(f268,plain,
! [X0: $o] :
( ( vAPP($o,$o,f,X0) = X0 )
| ( $true = vAPP($o,$o,f,$false) )
| ( x = $false )
| ( $false = X0 ) ),
inference(superposition,[],[f267,f4]) ).
thf(f267,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( $true = vAPP($o,$o,f,$false) )
| ( x = $false ) ),
inference(duplicate_literal_removal,[],[f233]) ).
thf(f233,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( $true = vAPP($o,$o,f,$false) )
| ( x = $false )
| ( x = $false ) ),
inference(superposition,[],[f173,f4]) ).
thf(f173,plain,
( ( vAPP($o,$o,f,x) = $true )
| ( $true = vAPP($o,$o,f,$false) )
| ( x = $false ) ),
inference(duplicate_literal_removal,[],[f156]) ).
thf(f156,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ( vAPP($o,$o,f,x) = $true )
| ( x = $false )
| ( vAPP($o,$o,f,x) = $true ) ),
inference(superposition,[],[f42,f55]) ).
thf(f1158,plain,
( ( vAPP($o,$o,f,x) = $false )
| ( x = $false ) ),
inference(subsumption_resolution,[],[f1057,f428]) ).
thf(f1057,plain,
( ( vAPP($o,$o,f,x) = $false )
| ( x = $false )
| ( vAPP($o,$o,f,vAPP($o,$o,f,x)) != $true ) ),
inference(trivial_inequality_removal,[],[f953]) ).
thf(f953,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,x) = $false )
| ( x = $false )
| ( vAPP($o,$o,f,vAPP($o,$o,f,x)) != $true ) ),
inference(constrained_superposition,[],[f43,f412]) ).
thf(f43,plain,
( ( vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))) = $false )
| ( vAPP($o,$o,f,x) = $false ) ),
inference(binary_proxy_clausification,[],[f41]) ).
thf(f1315,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ( x = $true ) ),
inference(superposition,[],[f81,f1305]) ).
thf(f81,plain,
( ( vAPP($o,$o,f,x) = $true )
| ( x = $true ) ),
inference(duplicate_literal_removal,[],[f79]) ).
thf(f79,plain,
( ( x = $true )
| ( vAPP($o,$o,f,x) = $true )
| ( x = $true )
| ( vAPP($o,$o,f,x) = $true ) ),
inference(binary_proxy_clausification,[],[f78]) ).
thf(f78,plain,
( ( x = $true )
| ( vAPP($o,$o,f,x) = $true )
| ( x != vAPP($o,$o,f,x) ) ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f77,plain,
( ( $true != $true )
| ( x = $true )
| ( vAPP($o,$o,f,x) = $true )
| ( x != vAPP($o,$o,f,x) ) ),
inference(equality_factoring,[],[f54]) ).
thf(f54,plain,
( ( vAPP($o,$o,f,vAPP($o,$o,f,x)) = $true )
| ( x = $true )
| ( vAPP($o,$o,f,x) = $true ) ),
inference(binary_proxy_clausification,[],[f53]) ).
thf(f1357,plain,
$false != vAPP($o,$o,f,vAPP($o,$o,f,$false)),
inference(forward_demodulation,[],[f1356,f1305]) ).
thf(f1356,plain,
vAPP($o,$o,f,vAPP($o,$o,f,x)) != $false,
inference(trivial_inequality_removal,[],[f1355]) ).
thf(f1355,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,vAPP($o,$o,f,x)) != $false ) ),
inference(forward_demodulation,[],[f1354,f1327]) ).
thf(f1354,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ( vAPP($o,$o,f,vAPP($o,$o,f,x)) != $false ) ),
inference(forward_demodulation,[],[f1352,f1305]) ).
thf(f1352,plain,
( ( vAPP($o,$o,f,x) = $false )
| ( vAPP($o,$o,f,vAPP($o,$o,f,x)) != $false ) ),
inference(trivial_inequality_removal,[],[f1330]) ).
thf(f1330,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,x) = $false )
| ( vAPP($o,$o,f,vAPP($o,$o,f,x)) != $false ) ),
inference(constrained_superposition,[],[f1327,f43]) ).
thf(f1412,plain,
$true != vAPP($o,$o,f,$true),
inference(forward_demodulation,[],[f1411,f1327]) ).
thf(f1411,plain,
$true != vAPP($o,$o,f,vAPP($o,$o,f,$false)),
inference(forward_demodulation,[],[f1410,f1305]) ).
thf(f1410,plain,
vAPP($o,$o,f,vAPP($o,$o,f,x)) != $true,
inference(trivial_inequality_removal,[],[f1409]) ).
thf(f1409,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,vAPP($o,$o,f,x)) != $true ) ),
inference(forward_demodulation,[],[f1408,f1327]) ).
thf(f1408,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ( vAPP($o,$o,f,vAPP($o,$o,f,x)) != $true ) ),
inference(forward_demodulation,[],[f1406,f1305]) ).
thf(f1406,plain,
( ( vAPP($o,$o,f,x) = $false )
| ( vAPP($o,$o,f,vAPP($o,$o,f,x)) != $true ) ),
inference(trivial_inequality_removal,[],[f1393]) ).
thf(f1393,plain,
( ( $false != $false )
| ( vAPP($o,$o,f,x) = $false )
| ( vAPP($o,$o,f,vAPP($o,$o,f,x)) != $true ) ),
inference(constrained_superposition,[],[f1358,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO040^2 : TPTP v8.2.0. Released v4.1.0.
% 0.13/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 08:31:38 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (23408)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.36 % (23416)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)
% 0.20/0.36 % (23416)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.36 % (23412)WARNING: value z3 for option sas not known
% 0.20/0.36 % (23411)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.36 % (23409)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.36 % (23413)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.36 % (23414)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)
% 0.20/0.36 % (23412)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)
% 0.20/0.36 % (23415)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)
% 0.20/0.36 % Exception at run slice level% Exception at run slice level
% 0.20/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.36
% 0.20/0.36 User error: % Exception at run slice level
% 0.20/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.36 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.37 % (23416)First to succeed.
% 0.20/0.37 % (23416)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23408"
% 0.20/0.37 % (23416)Refutation found. Thanks to Tanya!
% 0.20/0.37 % SZS status Theorem for theBenchmark
% 0.20/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37 % (23416)------------------------------
% 0.20/0.37 % (23416)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.37 % (23416)Termination reason: Refutation
% 0.20/0.37
% 0.20/0.37 % (23416)Memory used [KB]: 804
% 0.20/0.37 % (23416)Time elapsed: 0.012 s
% 0.20/0.37 % (23416)Instructions burned: 41 (million)
% 0.20/0.37 % (23408)Success in time 0.018 s
%------------------------------------------------------------------------------