TSTP Solution File: SYO039^2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO039^2 : 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 : n008.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 09:10:03 EDT 2024
% Result : Theorem 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 10 unt; 9 typ; 0 def)
% Number of atoms : 116 ( 17 equ; 0 cnn)
% Maximal formula atoms : 2 ( 8 avg)
% Number of connectives : 15 ( 12 ~; 3 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 18 >; 1 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 2 con; 0-6 aty)
% Number of variables : 7 ( 0 ^ 1 !; 0 ?; 7 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
h: $o > $i ).
thf(func_def_4,type,
vNOT: $o > $o ).
thf(func_def_5,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $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(f45,plain,
$false,
inference(subsumption_resolution,[],[f42,f44]) ).
thf(f44,plain,
vAPP($o,$i,h,$false) != vAPP($o,$i,h,$true),
inference(duplicate_literal_removal,[],[f43]) ).
thf(f43,plain,
( ( vAPP($o,$i,h,$false) != vAPP($o,$i,h,$true) )
| ( vAPP($o,$i,h,$false) != vAPP($o,$i,h,$true) ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f40,plain,
( ( vAPP($o,$i,h,$false) != vAPP($o,$i,h,$true) )
| ( $false = vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),vAPP($o,$i,h,$false)),vAPP($o,$i,h,$true)) ) ),
inference(superposition,[],[f8,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f8,plain,
vAPP($o,$i,h,$false) != vAPP($o,$i,h,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),vAPP($o,$i,h,$false)),vAPP($o,$i,h,$true))),
inference(boolean_simplification,[],[f7]) ).
thf(f7,plain,
vAPP($o,$i,h,$false) != vAPP($o,$i,h,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),vAPP($o,$i,h,$false)),vAPP($o,$i,h,vAPP($o,$o,vNOT,$false)))),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
vAPP($o,$i,h,$false) != vAPP($o,$i,h,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),vAPP($o,$i,h,$false)),vAPP($o,$i,h,vAPP($o,$o,vNOT,$false)))),
inference(flattening,[],[f5]) ).
thf(f5,plain,
vAPP($o,$i,h,$false) != vAPP($o,$i,h,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),vAPP($o,$i,h,$false)),vAPP($o,$i,h,vAPP($o,$o,vNOT,$false)))),
inference(fool_elimination,[],[f2]) ).
thf(f2,negated_conjecture,
vAPP($o,$i,h,vAPP($o,$i,h,$false) = vAPP($o,$i,h,~ $false)) != vAPP($o,$i,h,$false),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
vAPP($o,$i,h,vAPP($o,$i,h,$false) = vAPP($o,$i,h,~ $false)) = vAPP($o,$i,h,$false),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',1) ).
thf(f42,plain,
vAPP($o,$i,h,$false) = vAPP($o,$i,h,$true),
inference(equality_proxy_clausification,[],[f41]) ).
thf(f41,plain,
$false != vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),vAPP($o,$i,h,$false)),vAPP($o,$i,h,$true)),
inference(equality_resolution,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO039^2 : TPTP v8.2.0. Released v4.1.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 09:20:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (24426)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (24429)WARNING: value z3 for option sas not known
% 0.21/0.37 % (24430)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (24428)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (24427)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (24429)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)
% 0.21/0.37 % (24431)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)
% 0.21/0.37 % (24433)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)
% 0.21/0.37 % Exception at run slice level% Exception at run slice level
% 0.21/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.37
% 0.21/0.37 User error: % (24433)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.37 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.37 % Exception at run slice level
% 0.21/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.37 % (24433)First to succeed.
% 0.21/0.37 % (24431)Also succeeded, but the first one will report.
% 0.21/0.37 % (24433)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24426"
% 0.21/0.37 % (24432)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)
% 0.21/0.37 % (24429)Also succeeded, but the first one will report.
% 0.21/0.37 % (24433)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Theorem for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (24433)------------------------------
% 0.21/0.37 % (24433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.37 % (24433)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (24433)Memory used [KB]: 761
% 0.21/0.37 % (24433)Time elapsed: 0.004 s
% 0.21/0.37 % (24433)Instructions burned: 4 (million)
% 0.21/0.37 % (24426)Success in time 0.018 s
%------------------------------------------------------------------------------