TSTP Solution File: NUM713^1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM713^1 : 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 : n013.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 02:13:01 EDT 2024
% Result : Theorem 0.23s 0.40s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of formulae : 35 ( 18 unt; 16 typ; 0 def)
% Number of atoms : 118 ( 19 equ; 0 cnn)
% Maximal formula atoms : 2 ( 6 avg)
% Number of connectives : 12 ( 11 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 22 ( 21 >; 1 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 5 con; 0-6 aty)
% Number of variables : 32 ( 0 ^ 24 !; 2 ?; 32 :)
% ( 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,
z: nat ).
thf(func_def_4,type,
pl: nat > nat > nat ).
thf(func_def_6,type,
ts: nat > nat > nat ).
thf(func_def_9,type,
sK0: nat ).
thf(func_def_10,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_11,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_12,type,
vAND: $o > $o > $o ).
thf(func_def_13,type,
vOR: $o > $o > $o ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
vNOT: $o > $o ).
thf(func_def_16,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f66,plain,
$false,
inference(subsumption_resolution,[],[f65,f22]) ).
thf(f22,plain,
! [X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X1) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X0) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
! [X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X1) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X0) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X2: nat,X3: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X2),X3) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X3),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz29) ).
thf(f65,plain,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,x),z) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,z),x),
inference(superposition,[],[f64,f20]) ).
thf(f20,plain,
x = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,y),sK0),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
x = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,y),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f17]) ).
thf(f17,plain,
( ? [X0: nat] : ( x = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,y),X0) )
=> ( x = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,y),sK0) ) ),
introduced(choice_axiom,[]) ).
thf(f15,plain,
? [X0: nat] : ( x = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,y),X0) ),
inference(ennf_transformation,[],[f1]) ).
thf(f1,axiom,
~ ! [X0: nat] : ( x != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,y),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
thf(f64,plain,
! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,x),z) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,z),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,y),X0)) ),
inference(superposition,[],[f19,f55]) ).
thf(f55,plain,
! [X2: nat,X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X1),X2)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X0)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2)) ),
inference(superposition,[],[f23,f22]) ).
thf(f23,plain,
! [X2: nat,X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X1),X2)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X1)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2)) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
! [X0: nat,X1: nat,X2: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X1),X2)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X1)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2)) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X2: nat,X3: nat,X4: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X2),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,X3),X4)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X2),X3)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz30) ).
thf(f19,plain,
! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,x),z) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,y),z)),X0) ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,x),z) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,y),z)),X0) ),
inference(flattening,[],[f6]) ).
thf(f6,negated_conjecture,
~ ~ ! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,x),z) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,y),z)),X0) ),
inference(negated_conjecture,[],[f5]) ).
thf(f5,conjecture,
~ ! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,x),z) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,y),z)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz32a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM713^1 : TPTP v8.2.0. Released v3.7.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 04:05:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (23792)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.39 % (23795)WARNING: value z3 for option sas not known
% 0.23/0.39 % (23799)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)
% 0.23/0.40 % (23794)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.40 % (23799)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.40 % (23796)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.40 % (23793)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.40 % (23795)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)
% 0.23/0.40 % (23797)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)
% 0.23/0.40 % (23798)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)
% 0.23/0.40 % Exception at run slice level
% 0.23/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.40 % Exception at run slice level
% 0.23/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs% Exception at run slice level
% 0.23/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.40
% 0.23/0.40 % (23799)First to succeed.
% 0.23/0.40 % (23799)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23792"
% 0.23/0.40 % (23798)Also succeeded, but the first one will report.
% 0.23/0.40 % (23795)Also succeeded, but the first one will report.
% 0.23/0.40 % (23799)Refutation found. Thanks to Tanya!
% 0.23/0.40 % SZS status Theorem for theBenchmark
% 0.23/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.40 % (23799)------------------------------
% 0.23/0.40 % (23799)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.40 % (23799)Termination reason: Refutation
% 0.23/0.40
% 0.23/0.40 % (23799)Memory used [KB]: 774
% 0.23/0.40 % (23799)Time elapsed: 0.011 s
% 0.23/0.40 % (23799)Instructions burned: 7 (million)
% 0.23/0.40 % (23792)Success in time 0.035 s
%------------------------------------------------------------------------------