TSTP Solution File: SYO290^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO290^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 09:10:50 EDT 2024
% Result : Theorem 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 22 ( 3 unt; 13 typ; 0 def)
% Number of atoms : 73 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 8 avg)
% Number of connectives : 17 ( 11 ~; 5 |; 1 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 22 ( 21 >; 1 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 2 con; 0-6 aty)
% Number of variables : 12 ( 6 ^ 0 !; 0 ?; 12 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
g2: a > a ).
thf(func_def_2,type,
g1: a > a ).
thf(func_def_3,type,
p: ( a > a ) > $o ).
thf(func_def_7,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_8,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_9,type,
vAND: $o > $o > $o ).
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(f39,plain,
$false,
inference(subsumption_resolution,[],[f10,f9]) ).
thf(f9,plain,
$true = vAPP(sTfun(a,a),$o,p,vAPP(sTfun(a,a),sTfun(a,a),vAPP(sTfun(a,a),sTfun(sTfun(a,a),sTfun(a,a)),bCOMB,g1),g2)),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( ( $true != vAPP(sTfun(a,a),$o,p,vAPP(sTfun(a,a),sTfun(a,a),vAPP(sTfun(a,a),sTfun(sTfun(a,a),sTfun(a,a)),bCOMB,g1),g2)) )
& ( $true = vAPP(sTfun(a,a),$o,p,vAPP(sTfun(a,a),sTfun(a,a),vAPP(sTfun(a,a),sTfun(sTfun(a,a),sTfun(a,a)),bCOMB,g1),g2)) ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f7,plain,
~ ( ( $true = vAPP(sTfun(a,a),$o,p,vAPP(sTfun(a,a),sTfun(a,a),vAPP(sTfun(a,a),sTfun(sTfun(a,a),sTfun(a,a)),bCOMB,g1),g2)) )
| ( $true != vAPP(sTfun(a,a),$o,p,vAPP(sTfun(a,a),sTfun(a,a),vAPP(sTfun(a,a),sTfun(sTfun(a,a),sTfun(a,a)),bCOMB,g1),g2)) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
~ ( ( $true = vAPP(sTfun(a,a),$o,p,vAPP(sTfun(a,a),sTfun(a,a),vAPP(sTfun(a,a),sTfun(sTfun(a,a),sTfun(a,a)),bCOMB,g1),g2)) )
| ( $true != vAPP(sTfun(a,a),$o,p,vAPP(sTfun(a,a),sTfun(a,a),vAPP(sTfun(a,a),sTfun(sTfun(a,a),sTfun(a,a)),bCOMB,g1),g2)) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ( vAPP(sTfun(a,a),$o,p,
^ [X0: a] : vAPP(a,a,g1,vAPP(a,a,g2,X0)))
| ~ vAPP(sTfun(a,a),$o,p,
^ [X1: a] : vAPP(a,a,g1,vAPP(a,a,g2,X1))) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( vAPP(sTfun(a,a),$o,p,
^ [X1: a] : vAPP(a,a,g1,vAPP(a,a,g2,X1)))
| ~ vAPP(sTfun(a,a),$o,p,
^ [X0: a] : vAPP(a,a,g1,vAPP(a,a,g2,X0))) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( vAPP(sTfun(a,a),$o,p,
^ [X1: a] : vAPP(a,a,g1,vAPP(a,a,g2,X1)))
| ~ vAPP(sTfun(a,a),$o,p,
^ [X0: a] : vAPP(a,a,g1,vAPP(a,a,g2,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRANS_BUG_EX2) ).
thf(f10,plain,
$true != vAPP(sTfun(a,a),$o,p,vAPP(sTfun(a,a),sTfun(a,a),vAPP(sTfun(a,a),sTfun(sTfun(a,a),sTfun(a,a)),bCOMB,g1),g2)),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO290^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon May 20 09:21:37 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % (8854)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (8860)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.36 % (8859)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.36 % (8857)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)
% 0.12/0.36 % (8857)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.12/0.36 % (8855)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.36 % Exception at run slice level
% 0.12/0.36 User error: % (8856)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.36 % (8859)First to succeed.
% 0.12/0.36 % (8857)Also succeeded, but the first one will report.
% 0.12/0.36 % Exception at run slice level
% 0.12/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.36 % (8859)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8854"
% 0.12/0.36 % (8861)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)
% 0.12/0.36 % (8859)Refutation found. Thanks to Tanya!
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36 % (8859)------------------------------
% 0.12/0.36 % (8859)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (8859)Termination reason: Refutation
% 0.12/0.36
% 0.12/0.36 % (8859)Memory used [KB]: 753
% 0.12/0.36 % (8859)Time elapsed: 0.004 s
% 0.12/0.36 % (8859)Instructions burned: 4 (million)
% 0.12/0.36 % (8854)Success in time 0.016 s
%------------------------------------------------------------------------------