TSTP Solution File: SYO031^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO031^1 : 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 : n002.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 09:10:00 EDT 2024
% Result : Theorem 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 9 unt; 9 typ; 0 def)
% Number of atoms : 88 ( 20 equ; 0 cnn)
% Maximal formula atoms : 2 ( 5 avg)
% Number of connectives : 9 ( 3 ~; 5 |; 0 &; 0 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 28 ( 27 >; 1 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 2 con; 0-6 aty)
% Number of variables : 18 ( 0 ^ 8 !; 4 ?; 18 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
sK0: ( $o > $o ) > $o ).
thf(func_def_4,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_5,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_6,type,
vAND: $o > $o > $o ).
thf(func_def_7,type,
vOR: $o > $o > $o ).
thf(func_def_8,type,
vIMP: $o > $o > $o ).
thf(func_def_9,type,
vNOT: $o > $o ).
thf(func_def_10,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f90,plain,
$false,
inference(trivial_inequality_removal,[],[f89]) ).
thf(f89,plain,
$true = $false,
inference(boolean_simplification,[],[f88]) ).
thf(f88,plain,
$true = vAPP($o,$o,vNOT,$true),
inference(trivial_inequality_removal,[],[f71]) ).
thf(f71,plain,
( ( $true = vAPP($o,$o,vNOT,$true) )
| ( $true = $false ) ),
inference(superposition,[],[f10,f50]) ).
thf(f50,plain,
$true = vAPP(sTfun($o,$o),$o,sK0,vNOT),
inference(duplicate_literal_removal,[],[f49]) ).
thf(f49,plain,
( ( $true = vAPP(sTfun($o,$o),$o,sK0,vNOT) )
| ( $true = vAPP(sTfun($o,$o),$o,sK0,vNOT) ) ),
inference(not_proxy_clausification,[],[f45]) ).
thf(f45,plain,
( ( $false = vAPP($o,$o,vNOT,vAPP(sTfun($o,$o),$o,sK0,vNOT)) )
| ( $true = vAPP(sTfun($o,$o),$o,sK0,vNOT) ) ),
inference(primitive_instantiation,[],[f9]) ).
thf(f9,plain,
! [X0: $o > $o] :
( ( $false = vAPP($o,$o,X0,vAPP(sTfun($o,$o),$o,sK0,X0)) )
| ( $true = vAPP(sTfun($o,$o),$o,sK0,X0) ) ),
inference(binary_proxy_clausification,[],[f8]) ).
thf(f8,plain,
! [X0: $o > $o] : ( vAPP(sTfun($o,$o),$o,sK0,X0) = vAPP($o,$o,X0,vAPP(sTfun($o,$o),$o,sK0,X0)) ),
inference(cnf_transformation,[],[f7]) ).
thf(f7,plain,
! [X0: $o > $o] : ( vAPP(sTfun($o,$o),$o,sK0,X0) = vAPP($o,$o,X0,vAPP(sTfun($o,$o),$o,sK0,X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).
thf(f6,plain,
! [X0: $o > $o] :
( ? [X1: $o] : ( vAPP($o,$o,X0,X1) = X1 )
=> ( vAPP(sTfun($o,$o),$o,sK0,X0) = vAPP($o,$o,X0,vAPP(sTfun($o,$o),$o,sK0,X0)) ) ),
introduced(choice_axiom,[]) ).
thf(f5,plain,
! [X0: $o > $o] :
? [X1: $o] : ( vAPP($o,$o,X0,X1) = X1 ),
inference(flattening,[],[f2]) ).
thf(f2,negated_conjecture,
~ ~ ! [X0: $o > $o] :
? [X1: $o] : ( vAPP($o,$o,X0,X1) = X1 ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
~ ! [X0: $o > $o] :
? [X1: $o] : ( vAPP($o,$o,X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f10,plain,
! [X0: $o > $o] :
( ( $true = vAPP($o,$o,X0,vAPP(sTfun($o,$o),$o,sK0,X0)) )
| ( $false = vAPP(sTfun($o,$o),$o,sK0,X0) ) ),
inference(binary_proxy_clausification,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYO031^1 : TPTP v8.2.0. Released v3.7.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n002.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 20 10:28:53 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % (32563)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (32566)WARNING: value z3 for option sas not known
% 0.16/0.39 % (32564)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39 % (32565)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % (32567)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39 % (32566)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)
% 0.16/0.39 % (32568)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)
% 0.16/0.39 % (32569)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)
% 0.16/0.39 % (32570)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)
% 0.16/0.39 % Exception at run slice level
% 0.16/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.39 % Exception at run slice level
% 0.16/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.39 % (32570)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.39 % Exception at run slice level
% 0.16/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.39 % (32569)First to succeed.
% 0.16/0.39 % (32568)Also succeeded, but the first one will report.
% 0.16/0.39 % (32569)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32563"
% 0.16/0.39 % (32570)Also succeeded, but the first one will report.
% 0.16/0.39 % (32569)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Theorem for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39 % (32569)------------------------------
% 0.16/0.39 % (32569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.39 % (32569)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (32569)Memory used [KB]: 771
% 0.16/0.39 % (32569)Time elapsed: 0.005 s
% 0.16/0.39 % (32569)Instructions burned: 5 (million)
% 0.16/0.39 % (32563)Success in time 0.019 s
%------------------------------------------------------------------------------