TSTP Solution File: NUM682_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM682_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 02:12:50 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 12 unt; 7 typ; 0 def)
% Number of atoms : 69 ( 17 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 47 ~; 16 |; 4 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
y: nat ).
tff(func_def_2,type,
z: nat ).
tff(func_def_3,type,
pl: ( nat * nat ) > nat ).
tff(pred_def_1,type,
less: ( nat * nat ) > $o ).
tff(pred_def_2,type,
more: ( nat * nat ) > $o ).
tff(f96,plain,
$false,
inference(subsumption_resolution,[],[f94,f37]) ).
tff(f37,plain,
! [X1: nat] : ~ less(X1,X1),
inference(equality_resolution,[],[f33]) ).
tff(f33,plain,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: nat,X1: nat] :
( ( ( X0 != X1 )
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ( X0 != X1 ) ) ),
inference(flattening,[],[f23]) ).
tff(f23,plain,
! [X0: nat,X1: nat] :
( ( ( X0 != X1 )
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ( X0 != X1 ) ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ~ more(X0,X1) )
=> ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ( X0 != X1 ) ) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ~ more(X0,X1) )
=> ~ ~ ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ( X0 != X1 ) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: nat,X2: nat] :
~ ( ( ( X1 = X2 )
=> ~ more(X1,X2) )
=> ~ ~ ( ( more(X1,X2)
=> ~ less(X1,X2) )
=> ~ ( less(X1,X2)
=> ( X1 != X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10b) ).
tff(f94,plain,
less(pl(x,z),pl(x,z)),
inference(superposition,[],[f28,f90]) ).
tff(f90,plain,
x = y,
inference(unit_resulting_resolution,[],[f27,f87,f30]) ).
tff(f30,plain,
! [X0: nat,X1: nat] :
( more(X0,X1)
| less(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: nat,X1: nat] :
( less(X0,X1)
| more(X0,X1)
| ( X0 = X1 ) ),
inference(flattening,[],[f21]) ).
tff(f21,plain,
! [X0: nat,X1: nat] :
( less(X0,X1)
| more(X0,X1)
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
=> ( ~ more(X0,X1)
=> less(X0,X1) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: nat,X2: nat] :
( ( X1 != X2 )
=> ( ~ more(X1,X2)
=> less(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10a) ).
tff(f87,plain,
~ more(x,y),
inference(unit_resulting_resolution,[],[f45,f35]) ).
tff(f35,plain,
! [X2: nat,X0: nat,X1: nat] :
( ~ more(X0,X1)
| more(pl(X0,X2),pl(X1,X2)) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: nat,X1: nat,X2: nat] :
( more(pl(X0,X2),pl(X1,X2))
| ~ more(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: nat,X1: nat,X2: nat] :
( more(X0,X1)
=> more(pl(X0,X2),pl(X1,X2)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: nat,X2: nat,X3: nat] :
( more(X1,X2)
=> more(pl(X1,X3),pl(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz19a) ).
tff(f45,plain,
~ more(pl(x,z),pl(y,z)),
inference(unit_resulting_resolution,[],[f28,f32]) ).
tff(f32,plain,
! [X0: nat,X1: nat] :
( ~ more(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f27,plain,
~ less(x,y),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
~ less(x,y),
inference(flattening,[],[f8]) ).
tff(f8,negated_conjecture,
~ less(x,y),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
less(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz20c) ).
tff(f28,plain,
less(pl(x,z),pl(y,z)),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
less(pl(x,z),pl(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM682_8 : TPTP v8.2.0. Released v8.0.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 06:15:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (16172)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (16174)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (16179)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)
% 0.13/0.36 % (16175)WARNING: value z3 for option sas not known
% 0.13/0.36 % (16179)First to succeed.
% 0.13/0.36 % (16179)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16172"
% 0.13/0.36 Detected minimum model sizes of [1,1]
% 0.13/0.36 Detected maximum model sizes of [max,2]
% 0.13/0.36 TRYING [1,1]
% 0.13/0.36 TRYING [1,2]
% 0.13/0.36 TRYING [2,2]
% 0.13/0.36 % (16179)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36 % (16179)------------------------------
% 0.13/0.36 % (16179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (16179)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (16179)Memory used [KB]: 756
% 0.13/0.36 % (16179)Time elapsed: 0.003 s
% 0.13/0.36 % (16179)Instructions burned: 5 (million)
% 0.13/0.36 % (16172)Success in time 0.016 s
%------------------------------------------------------------------------------