TSTP Solution File: NUM681_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM681_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 Apr 30 14:37:10 EDT 2024
% Result : Theorem 0.12s 0.29s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 12 unt; 7 typ; 0 def)
% Number of atoms : 83 ( 25 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 97 ( 48 ~; 22 |; 4 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% 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 : 55 ( 55 !; 0 ?; 55 :)
% 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(f111,plain,
$false,
inference(subsumption_resolution,[],[f110,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/sandbox/benchmark/theBenchmark.p',satz10b) ).
tff(f110,plain,
less(pl(x,z),pl(x,z)),
inference(superposition,[],[f100,f28]) ).
tff(f28,plain,
pl(x,z) = pl(y,z),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
pl(x,z) = pl(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i) ).
tff(f100,plain,
! [X0: nat] : less(pl(y,X0),pl(x,X0)),
inference(unit_resulting_resolution,[],[f95,f34]) ).
tff(f34,plain,
! [X2: nat,X0: nat,X1: nat] :
( ~ less(X0,X1)
| less(pl(X0,X2),pl(X1,X2)) ),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
! [X0: nat,X1: nat,X2: nat] :
( less(pl(X0,X2),pl(X1,X2))
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: nat,X1: nat,X2: nat] :
( less(X0,X1)
=> less(pl(X0,X2),pl(X1,X2)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: nat,X2: nat,X3: nat] :
( less(X1,X2)
=> less(pl(X1,X3),pl(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19c) ).
tff(f95,plain,
less(y,x),
inference(unit_resulting_resolution,[],[f27,f38,f91]) ).
tff(f91,plain,
! [X0: nat] :
( more(pl(x,z),pl(X0,z))
| less(y,X0)
| ( y = X0 ) ),
inference(superposition,[],[f86,f28]) ).
tff(f86,plain,
! [X2: nat,X0: nat,X1: nat] :
( more(pl(X0,X1),pl(X2,X1))
| less(X0,X2)
| ( X0 = X2 ) ),
inference(resolution,[],[f35,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,[],[f5]) ).
tff(f5,axiom,
! [X1: nat,X2: nat] :
( ( X1 != X2 )
=> ( ~ more(X1,X2)
=> less(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10a) ).
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,[],[f6]) ).
tff(f6,axiom,
! [X1: nat,X2: nat,X3: nat] :
( more(X1,X2)
=> more(pl(X1,X3),pl(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19a) ).
tff(f38,plain,
! [X1: nat] : ~ more(X1,X1),
inference(equality_resolution,[],[f31]) ).
tff(f31,plain,
! [X0: nat,X1: nat] :
( ~ more(X0,X1)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f24]) ).
tff(f27,plain,
x != y,
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
x != y,
inference(flattening,[],[f8]) ).
tff(f8,negated_conjecture,
( ~ x = y ),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
x = y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz20b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM681_8 : TPTP v8.1.2. Released v8.0.0.
% 0.00/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.27 % Computer : n020.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Mon Apr 29 23:28:32 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % (12951)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.29 % (12954)WARNING: value z3 for option sas not known
% 0.12/0.29 % (12955)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.29 % (12952)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.29 % (12953)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.29 % (12956)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)
% 0.12/0.29 % (12954)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)
% 0.12/0.29 % (12957)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)
% 0.12/0.29 % (12958)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)
% 0.12/0.29 Detected minimum model sizes of [1,1]
% 0.12/0.29 Detected maximum model sizes of [max,2]
% 0.12/0.29 TRYING [1,1]
% 0.12/0.29 TRYING [1,2]
% 0.12/0.29 TRYING [2,2]
% 0.12/0.29 TRYING [3,2]
% 0.12/0.29 TRYING [1]
% 0.12/0.29 TRYING [2]
% 0.12/0.29 % (12958)First to succeed.
% 0.12/0.29 TRYING [4,2]
% 0.12/0.29 % (12957)Also succeeded, but the first one will report.
% 0.12/0.29 TRYING [3]
% 0.12/0.29 Detected minimum model sizes of [1,1]
% 0.12/0.29 Detected maximum model sizes of [max,2]
% 0.12/0.29 TRYING [1,1]
% 0.12/0.29 TRYING [1,2]
% 0.12/0.29 TRYING [2,2]
% 0.12/0.29 TRYING [5,2]
% 0.12/0.29 TRYING [3,2]
% 0.12/0.29 % (12956)Also succeeded, but the first one will report.
% 0.12/0.29 % (12958)Refutation found. Thanks to Tanya!
% 0.12/0.29 % SZS status Theorem for theBenchmark
% 0.12/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.29 % (12958)------------------------------
% 0.12/0.29 % (12958)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.29 % (12958)Termination reason: Refutation
% 0.12/0.29
% 0.12/0.29 % (12958)Memory used [KB]: 760
% 0.12/0.29 % (12958)Time elapsed: 0.004 s
% 0.12/0.29 % (12958)Instructions burned: 6 (million)
% 0.12/0.29 % (12958)------------------------------
% 0.12/0.29 % (12958)------------------------------
% 0.12/0.29 % (12951)Success in time 0.012 s
%------------------------------------------------------------------------------