TSTP Solution File: SYO365^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO365^5 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 09:11:01 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 30 ( 7 unt; 16 typ; 0 def)
% Number of atoms : 97 ( 12 equ; 0 cnn)
% Maximal formula atoms : 2 ( 6 avg)
% Number of connectives : 19 ( 12 ~; 0 |; 1 &; 0 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 34 ( 33 >; 1 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 5 con; 0-6 aty)
% Number of variables : 13 ( 0 ^ 0 !; 0 ?; 13 :)
% ( 13 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cA: $o ).
thf(func_def_1,type,
cC: $o > $o ).
thf(func_def_2,type,
cEXT2: $o ).
thf(func_def_3,type,
cEXT_eq_0: $o ).
thf(func_def_7,type,
vIMP: $o > $o > $o ).
thf(func_def_8,type,
vNOT: $o > $o ).
thf(func_def_9,type,
vIFF: $o > $o > $o ).
thf(func_def_10,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_11,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_12,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_13,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_14,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_16,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_17,type,
vAND: $o > $o > $o ).
thf(func_def_18,type,
vOR: $o > $o > $o ).
thf(f23,plain,
$false,
inference(trivial_inequality_removal,[],[f22]) ).
thf(f22,plain,
$true != $true,
inference(boolean_simplification,[],[f21]) ).
thf(f21,plain,
$true != vAPP($o,$o,vAPP($o,sTfun($o,$o),vIMP,vAPP($o,$o,cC,cA)),vAPP($o,$o,cC,cA)),
inference(boolean_simplification,[],[f18]) ).
thf(f18,plain,
$true != vAPP($o,$o,vAPP($o,sTfun($o,$o),vIMP,vAPP($o,$o,cC,cA)),vAPP($o,$o,cC,vAPP($o,$o,vNOT,vAPP($o,$o,vNOT,cA)))),
inference(definition_unfolding,[],[f15,f16]) ).
thf(f16,plain,
cEXT2 = vAPP($o,$o,vAPP($o,sTfun($o,$o),vIMP,vAPP($o,$o,cC,cA)),vAPP($o,$o,cC,vAPP($o,$o,vNOT,vAPP($o,$o,vNOT,cA)))),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
cEXT2 = vAPP($o,$o,vAPP($o,sTfun($o,$o),vIMP,vAPP($o,$o,cC,cA)),vAPP($o,$o,cC,vAPP($o,$o,vNOT,vAPP($o,$o,vNOT,cA)))),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
( ( cEXT2 = vAPP($o,$o,cC,cA) )
=> vAPP($o,$o,cC,
~ ~ cA) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( ( cEXT2 = vAPP($o,$o,cC,cA) )
=> vAPP($o,$o,cC,
~ ~ cA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXT2_def) ).
thf(f15,plain,
cEXT2 != $true,
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ( cEXT2 != $true )
& ( cEXT_eq_0 = $true ) ),
inference(ennf_transformation,[],[f8]) ).
thf(f8,plain,
~ ( ( cEXT_eq_0 = $true )
=> ( cEXT2 = $true ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
~ ( cEXT_eq_0
=> cEXT2 ),
inference(rectify,[],[f4]) ).
thf(f4,negated_conjecture,
~ ( cEXT_eq_0
=> cEXT2 ),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
( cEXT_eq_0
=> cEXT2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXT2A) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO365^5 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.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 08:56:37 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (485)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (486)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (501)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (502)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)
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: % Exception at run slice levelFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % (504)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)
% 0.14/0.37 % (502)First to succeed.
% 0.14/0.37 % (502)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-485"
% 0.14/0.37 % (504)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37 % (502)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (502)------------------------------
% 0.14/0.37 % (502)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (502)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (502)Memory used [KB]: 740
% 0.14/0.37 % (502)Time elapsed: 0.003 s
% 0.14/0.37 % (502)Instructions burned: 3 (million)
% 0.14/0.37 % (485)Success in time 0.004 s
%------------------------------------------------------------------------------