TSTP Solution File: ITP209_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ITP209_1 : TPTP v8.1.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 17:17:44 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 28
% Syntax : Number of formulae : 39 ( 15 unt; 24 typ; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 5 ( 4 usr)
% Number of type conns : 16 ( 14 >; 2 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
fun_a_fun_a_a: $tType ).
tff(type_def_6,type,
fun_a_a: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
a: $tType ).
tff(func_def_0,type,
aa_a_fun_a_a: ( fun_a_fun_a_a * a ) > fun_a_a ).
tff(func_def_1,type,
aa_a_a: ( fun_a_a * a ) > a ).
tff(func_def_2,type,
fFalse: bool ).
tff(func_def_3,type,
fTrue: bool ).
tff(func_def_4,type,
a2: a ).
tff(func_def_5,type,
b: a ).
tff(func_def_6,type,
c: a ).
tff(func_def_7,type,
f: fun_a_fun_a_a ).
tff(func_def_8,type,
sK0: fun_a_fun_a_a > a ).
tff(func_def_9,type,
sK1: fun_a_fun_a_a > a ).
tff(func_def_10,type,
sK2: fun_a_fun_a_a > a ).
tff(func_def_11,type,
sK3: fun_a_fun_a_a > a ).
tff(func_def_12,type,
sK4: fun_a_fun_a_a > a ).
tff(func_def_13,type,
sK5: fun_a_fun_a_a > a ).
tff(func_def_14,type,
sK6: fun_a_fun_a_a > a ).
tff(func_def_15,type,
sK7: fun_a_fun_a_a > a ).
tff(func_def_16,type,
sK8: fun_a_fun_a_a > a ).
tff(func_def_17,type,
sK9: fun_a_fun_a_a > a ).
tff(pred_def_1,type,
syntax_ac_operator_a: fun_a_fun_a_a > $o ).
tff(pred_def_2,type,
pp: bool > $o ).
tff(f45,plain,
$false,
inference(subsumption_resolution,[],[f44,f36]) ).
tff(f36,plain,
! [X2: a,X0: a,X1: a] : ( aa_a_a(aa_a_fun_a_a(f,X0),aa_a_a(aa_a_fun_a_a(f,X1),X2)) = aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,X0),X1)),X2) ),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X1: a,X0: a,X2: a] : ( aa_a_a(aa_a_fun_a_a(f,X0),aa_a_a(aa_a_fun_a_a(f,X1),X2)) = aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,X0),X1)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_right__assoc) ).
tff(f44,plain,
aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) != aa_a_a(aa_a_fun_a_a(f,a2),aa_a_a(aa_a_fun_a_a(f,b),c)),
inference(forward_demodulation,[],[f43,f41]) ).
tff(f41,plain,
! [X2: a,X0: a,X1: a] : ( aa_a_a(aa_a_fun_a_a(f,X0),aa_a_a(aa_a_fun_a_a(f,X2),X1)) = aa_a_a(aa_a_fun_a_a(f,X2),aa_a_a(aa_a_fun_a_a(f,X0),X1)) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: a,X1: a,X2: a] : ( aa_a_a(aa_a_fun_a_a(f,X0),aa_a_a(aa_a_fun_a_a(f,X2),X1)) = aa_a_a(aa_a_fun_a_a(f,X2),aa_a_a(aa_a_fun_a_a(f,X0),X1)) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X0: a,X2: a,X1: a] : ( aa_a_a(aa_a_fun_a_a(f,X0),aa_a_a(aa_a_fun_a_a(f,X1),X2)) = aa_a_a(aa_a_fun_a_a(f,X1),aa_a_a(aa_a_fun_a_a(f,X0),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_left__commute) ).
tff(f43,plain,
aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) != aa_a_a(aa_a_fun_a_a(f,b),aa_a_a(aa_a_fun_a_a(f,a2),c)),
inference(forward_demodulation,[],[f37,f30]) ).
tff(f30,plain,
! [X0: a,X1: a] : ( aa_a_a(aa_a_fun_a_a(f,X0),X1) = aa_a_a(aa_a_fun_a_a(f,X1),X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: a,X1: a] : ( aa_a_a(aa_a_fun_a_a(f,X0),X1) = aa_a_a(aa_a_fun_a_a(f,X1),X0) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X1: a,X0: a] : ( aa_a_a(aa_a_fun_a_a(f,X0),X1) = aa_a_a(aa_a_fun_a_a(f,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_commute) ).
tff(f37,plain,
aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) != aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),c)),b),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) != aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),c)),b),
inference(flattening,[],[f14]) ).
tff(f14,negated_conjecture,
( ( ~ aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) )
= aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),c)),b) ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) = aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),c)),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP209_1 : TPTP v8.1.0. Released v8.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 23:53:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (27727)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.49 % (27710)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.49 % (27710)First to succeed.
% 0.19/0.50 % (27710)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (27710)------------------------------
% 0.19/0.50 % (27710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (27710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (27710)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (27710)Memory used [KB]: 5884
% 0.19/0.50 % (27710)Time elapsed: 0.004 s
% 0.19/0.50 % (27710)Instructions burned: 2 (million)
% 0.19/0.50 % (27710)------------------------------
% 0.19/0.50 % (27710)------------------------------
% 0.19/0.50 % (27701)Success in time 0.153 s
%------------------------------------------------------------------------------