TSTP Solution File: NUM713_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM713_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 : n012.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 02:13:02 EDT 2024
% Result : Theorem 0.19s 0.36s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 18 unt; 7 typ; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 24 !; 2 ?; 26 :)
% 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(func_def_4,type,
ts: ( nat * nat ) > nat ).
tff(func_def_7,type,
sK0: nat ).
tff(f73,plain,
$false,
inference(subsumption_resolution,[],[f72,f22]) ).
tff(f22,plain,
! [X0: nat,X1: nat] : ( ts(X0,X1) = ts(X1,X0) ),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: nat,X1: nat] : ( ts(X0,X1) = ts(X1,X0) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X2: nat,X3: nat] : ( ts(X2,X3) = ts(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz29) ).
tff(f72,plain,
ts(x,z) != ts(z,x),
inference(superposition,[],[f71,f20]) ).
tff(f20,plain,
x = pl(y,sK0),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
x = pl(y,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f17]) ).
tff(f17,plain,
( ? [X0: nat] : ( x = pl(y,X0) )
=> ( x = pl(y,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: nat] : ( x = pl(y,X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
~ ! [X0: nat] : ( x != pl(y,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).
tff(f71,plain,
! [X0: nat] : ( ts(x,z) != ts(z,pl(y,X0)) ),
inference(superposition,[],[f19,f62]) ).
tff(f62,plain,
! [X2: nat,X0: nat,X1: nat] : ( ts(X0,pl(X1,X2)) = pl(ts(X1,X0),ts(X0,X2)) ),
inference(superposition,[],[f23,f22]) ).
tff(f23,plain,
! [X2: nat,X0: nat,X1: nat] : ( ts(X0,pl(X1,X2)) = pl(ts(X0,X1),ts(X0,X2)) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: nat,X1: nat,X2: nat] : ( ts(X0,pl(X1,X2)) = pl(ts(X0,X1),ts(X0,X2)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X2: nat,X3: nat,X4: nat] : ( ts(X2,pl(X3,X4)) = pl(ts(X2,X3),ts(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz30) ).
tff(f19,plain,
! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
inference(flattening,[],[f6]) ).
tff(f6,negated_conjecture,
~ ~ ! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
inference(negated_conjecture,[],[f5]) ).
tff(f5,conjecture,
~ ! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz32a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM713_8 : TPTP v8.2.0. Released v8.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 05:03:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (19929)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36 % (19932)WARNING: value z3 for option sas not known
% 0.19/0.36 % (19932)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)
% 0.19/0.36 % (19932)First to succeed.
% 0.19/0.36 % (19932)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19929"
% 0.19/0.36 % (19932)Refutation found. Thanks to Tanya!
% 0.19/0.36 % SZS status Theorem for theBenchmark
% 0.19/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.36 % (19932)------------------------------
% 0.19/0.36 % (19932)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.36 % (19932)Termination reason: Refutation
% 0.19/0.36
% 0.19/0.36 % (19932)Memory used [KB]: 763
% 0.19/0.36 % (19932)Time elapsed: 0.003 s
% 0.19/0.36 % (19932)Instructions burned: 5 (million)
% 0.19/0.36 % (19929)Success in time 0.013 s
%------------------------------------------------------------------------------