TSTP Solution File: NUM640^1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM640^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 : Sun May 5 08:41:36 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of formulae : 22 ( 8 unt; 14 typ; 0 def)
% Number of atoms : 50 ( 7 equ; 0 cnn)
% Maximal formula atoms : 1 ( 6 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 21 ( 20 >; 1 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-6 aty)
% Number of variables : 10 ( 0 ^ 4 !; 0 ?; 10 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
nat: $tType ).
thf(func_def_1,type,
x: nat ).
thf(func_def_2,type,
y: nat ).
thf(func_def_3,type,
suc: nat > nat ).
thf(func_def_4,type,
pl: nat > nat > nat ).
thf(func_def_8,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_9,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_10,type,
vAND: $o > $o > $o ).
thf(func_def_11,type,
vOR: $o > $o > $o ).
thf(func_def_12,type,
vIMP: $o > $o > $o ).
thf(func_def_13,type,
vNOT: $o > $o ).
thf(func_def_14,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f41,plain,
$false,
inference(trivial_inequality_removal,[],[f40]) ).
thf(f40,plain,
vAPP(nat,nat,suc,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),y)) != vAPP(nat,nat,suc,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),y)),
inference(superposition,[],[f7,f8]) ).
thf(f8,plain,
! [X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X0),vAPP(nat,nat,suc,X1)) = vAPP(nat,nat,suc,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X0),X1)) ),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
! [X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X0),vAPP(nat,nat,suc,X1)) = vAPP(nat,nat,suc,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4b) ).
thf(f7,plain,
vAPP(nat,nat,suc,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),y)) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),vAPP(nat,nat,suc,y)),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
vAPP(nat,nat,suc,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),y)) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),vAPP(nat,nat,suc,y)),
inference(flattening,[],[f3]) ).
thf(f3,negated_conjecture,
vAPP(nat,nat,suc,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),y)) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),vAPP(nat,nat,suc,y)),
inference(negated_conjecture,[],[f2]) ).
thf(f2,conjecture,
vAPP(nat,nat,suc,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),y)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),vAPP(nat,nat,suc,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4f) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM640^1 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 15:26:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (2128)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (2131)WARNING: value z3 for option sas not known
% 0.14/0.38 % (2133)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)
% 0.14/0.38 % (2134)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)
% 0.14/0.38 % (2135)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)
% 0.14/0.38 % (2131)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)
% 0.14/0.38 % (2135)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % (2129)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (2132)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (2130)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (2131)Also succeeded, but the first one will report.
% 0.14/0.38 % (2134)Also succeeded, but the first one will report.
% 0.14/0.38 % (2135)First to succeed.
% 0.14/0.38 % (2133)Also succeeded, but the first one will report.
% 0.14/0.38 % (2135)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2128"
% 0.14/0.38 % (2135)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (2135)------------------------------
% 0.14/0.38 % (2135)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (2135)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (2135)Memory used [KB]: 759
% 0.14/0.38 % (2135)Time elapsed: 0.003 s
% 0.14/0.38 % (2135)Instructions burned: 4 (million)
% 0.14/0.38 % (2128)Success in time 0.019 s
%------------------------------------------------------------------------------