TSTP Solution File: NUM663_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM663_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 : n024.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 02:12:42 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 10 unt; 5 typ; 0 def)
% Number of atoms : 49 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 19 ~; 15 |; 0 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 16 !; 0 ?; 16 :)
% 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(pred_def_1,type,
less: ( nat * nat ) > $o ).
tff(f46,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f39,f45]) ).
tff(f45,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f44]) ).
tff(f44,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f42,f30]) ).
tff(f30,plain,
( less(x,y)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
tff(f28,plain,
( spl0_1
<=> less(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f42,plain,
~ less(x,y),
inference(resolution,[],[f40,f18]) ).
tff(f18,plain,
~ less(x,z),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
~ less(x,z),
inference(flattening,[],[f6]) ).
tff(f6,negated_conjecture,
~ less(x,z),
inference(negated_conjecture,[],[f5]) ).
tff(f5,conjecture,
less(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz16a) ).
tff(f40,plain,
! [X0: nat] :
( less(X0,z)
| ~ less(X0,y) ),
inference(resolution,[],[f22,f19]) ).
tff(f19,plain,
less(y,z),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
less(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k) ).
tff(f22,plain,
! [X2: nat,X0: nat,X1: nat] :
( ~ less(X1,X2)
| less(X0,X2)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: nat,X1: nat,X2: nat] :
( less(X0,X2)
| ~ less(X1,X2)
| ~ less(X0,X1) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
! [X0: nat,X1: nat,X2: nat] :
( less(X0,X2)
| ~ less(X1,X2)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: nat,X1: nat,X2: nat] :
( less(X0,X1)
=> ( less(X1,X2)
=> less(X0,X2) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: nat,X2: nat,X3: nat] :
( less(X1,X2)
=> ( less(X2,X3)
=> less(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz15) ).
tff(f39,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f38]) ).
tff(f38,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f37,f18]) ).
tff(f37,plain,
( less(x,z)
| ~ spl0_2 ),
inference(superposition,[],[f19,f34]) ).
tff(f34,plain,
( ( x = y )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f32,plain,
( spl0_2
<=> ( x = y ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f35,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f20,f32,f28]) ).
tff(f20,plain,
( ( x = y )
| less(x,y) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
( ( x = y )
| less(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
( ~ less(x,y)
=> ( x = y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM663_8 : TPTP v8.2.0. Released v8.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 07:01:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (18963)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (18966)WARNING: value z3 for option sas not known
% 0.14/0.38 % (18966)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 % (18966)First to succeed.
% 0.14/0.38 % (18966)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18963"
% 0.14/0.38 % (18966)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 % (18966)------------------------------
% 0.14/0.38 % (18966)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (18966)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (18966)Memory used [KB]: 765
% 0.14/0.38 % (18966)Time elapsed: 0.006 s
% 0.14/0.38 % (18966)Instructions burned: 3 (million)
% 0.14/0.38 % (18963)Success in time 0.028 s
%------------------------------------------------------------------------------