TSTP Solution File: SEV457^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV457^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 04:15:50 EDT 2024
% Result : Theorem 0.12s 0.34s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 21 ( 8 unt; 12 typ; 0 def)
% Number of atoms : 97 ( 9 equ; 0 cnn)
% Maximal formula atoms : 2 ( 10 avg)
% Number of connectives : 7 ( 6 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 29 ( 28 >; 1 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 2 con; 0-6 aty)
% Number of variables : 25 ( 0 ^ 12 !; 6 ?; 25 :)
% ( 7 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
sK0: $tType ).
thf(func_def_0,type,
'const/sets/INSERT':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 > $o ) ).
thf(func_def_4,type,
sK1: sK0 ).
thf(func_def_5,type,
sK2: sK0 > $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(f41,plain,
$false,
inference(unit_resulting_resolution,[],[f9,f10]) ).
thf(f10,plain,
! [X0: $tType,X2: X0 > $o,X1: X0] : ( vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),X2) = vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),X2)) ),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: X0,X2: X0 > $o] : ( vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),X2) = vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/INSERT_INSERT_') ).
thf(f9,plain,
vAPP(sTfun(sK0,$o),sTfun(sK0,$o),vAPP(sK0,sTfun(sTfun(sK0,$o),sTfun(sK0,$o)),'const/sets/INSERT'(sK0),sK1),sK2) != vAPP(sTfun(sK0,$o),sTfun(sK0,$o),vAPP(sK0,sTfun(sTfun(sK0,$o),sTfun(sK0,$o)),'const/sets/INSERT'(sK0),sK1),vAPP(sTfun(sK0,$o),sTfun(sK0,$o),vAPP(sK0,sTfun(sTfun(sK0,$o),sTfun(sK0,$o)),'const/sets/INSERT'(sK0),sK1),sK2)),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
vAPP(sTfun(sK0,$o),sTfun(sK0,$o),vAPP(sK0,sTfun(sTfun(sK0,$o),sTfun(sK0,$o)),'const/sets/INSERT'(sK0),sK1),sK2) != vAPP(sTfun(sK0,$o),sTfun(sK0,$o),vAPP(sK0,sTfun(sTfun(sK0,$o),sTfun(sK0,$o)),'const/sets/INSERT'(sK0),sK1),vAPP(sTfun(sK0,$o),sTfun(sK0,$o),vAPP(sK0,sTfun(sTfun(sK0,$o),sTfun(sK0,$o)),'const/sets/INSERT'(sK0),sK1),sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f7]) ).
thf(f7,plain,
( ? [X0: $tType,X1: X0,X2: X0 > $o] : ( vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),X2) != vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),X2)) )
=> ( vAPP(sTfun(sK0,$o),sTfun(sK0,$o),vAPP(sK0,sTfun(sTfun(sK0,$o),sTfun(sK0,$o)),'const/sets/INSERT'(sK0),sK1),sK2) != vAPP(sTfun(sK0,$o),sTfun(sK0,$o),vAPP(sK0,sTfun(sTfun(sK0,$o),sTfun(sK0,$o)),'const/sets/INSERT'(sK0),sK1),vAPP(sTfun(sK0,$o),sTfun(sK0,$o),vAPP(sK0,sTfun(sTfun(sK0,$o),sTfun(sK0,$o)),'const/sets/INSERT'(sK0),sK1),sK2)) ) ),
introduced(choice_axiom,[]) ).
thf(f6,plain,
? [X0: $tType,X1: X0,X2: X0 > $o] : ( vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),X2) != vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),X2)) ),
inference(ennf_transformation,[],[f3]) ).
thf(f3,negated_conjecture,
~ ! [X0: $tType,X1: X0,X2: X0 > $o] : ( vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),X2) = vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),X2)) ),
inference(negated_conjecture,[],[f2]) ).
thf(f2,conjecture,
! [X0: $tType,X1: X0,X2: X0 > $o] : ( vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),X2) = vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),vAPP(sTfun(X0,$o),sTfun(X0,$o),vAPP(X0,sTfun(sTfun(X0,$o),sTfun(X0,$o)),'const/sets/INSERT'(X0),X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/INSERT_AC_1') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SEV457^1 : TPTP v8.2.0. Released v7.0.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun May 19 18:46:08 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % (28287)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.33 % (28288)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.33 % Exception at run slice level
% 0.12/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.34 % (28289)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.34 % (28294)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)
% 0.12/0.34 % Exception at run slice level
% 0.12/0.34 User error: % (28290)WARNING: value z3 for option sas not known
% 0.12/0.34 Finite model buillding is currently not compatible with polymorphism or higher-order constructs% (28294)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.12/0.34
% 0.12/0.34 % (28294)First to succeed.
% 0.12/0.34 % (28291)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.34 % (28290)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)
% 0.12/0.34 % (28294)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28287"
% 0.12/0.34 % (28293)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)
% 0.12/0.34 % Exception at run slice level
% 0.12/0.34 % (28294)Refutation found. Thanks to Tanya!
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.34 % (28294)------------------------------
% 0.12/0.34 % (28294)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.34 % (28294)Termination reason: Refutation
% 0.12/0.34
% 0.12/0.34 % (28294)Memory used [KB]: 765
% 0.12/0.34 % (28294)Time elapsed: 0.003 s
% 0.12/0.34 % (28294)Instructions burned: 4 (million)
% 0.12/0.34 % (28287)Success in time 0.013 s
%------------------------------------------------------------------------------