TSTP Solution File: ITP209_1 by SPASS+T---2.2.22
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%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : ITP209_1 : TPTP v8.1.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n022.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 : 600s
% DateTime : Sun Jul 17 00:40:40 EDT 2022
% Result : Theorem 0.78s 1.07s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 6 unt; 0 nHn; 12 RR)
% Number of literals : 26 ( 0 equ; 20 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
a(c),
file('ITP209_1.p',unknown),
[] ).
cnf(5,axiom,
a(b),
file('ITP209_1.p',unknown),
[] ).
cnf(6,axiom,
a(a2),
file('ITP209_1.p',unknown),
[] ).
cnf(27,axiom,
( ~ a(U)
| ~ a(V)
| equal(aa_a_a(aa_a_fun_a_a(f,U),V),aa_a_a(aa_a_fun_a_a(f,V),U)) ),
file('ITP209_1.p',unknown),
[] ).
cnf(28,axiom,
~ equal(aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),c)),b),aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c)),
file('ITP209_1.p',unknown),
[] ).
cnf(34,axiom,
( ~ a(U)
| ~ a(V)
| ~ a(W)
| equal(aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,U),V)),W),aa_a_a(aa_a_fun_a_a(f,U),aa_a_a(aa_a_fun_a_a(f,V),W))) ),
file('ITP209_1.p',unknown),
[] ).
cnf(113,plain,
( ~ a(a2)
| ~ a(c)
| ~ a(b)
| ~ equal(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,c),b))) ),
inference(spl,[status(thm),theory(equality)],[34,28]),
[iquote('0:SpL:34.3,28.0')] ).
cnf(115,plain,
( ~ a(a2)
| ~ a(c)
| ~ a(b)
| ~ equal(aa_a_a(aa_a_fun_a_a(f,a2),aa_a_a(aa_a_fun_a_a(f,c),b)),aa_a_a(aa_a_fun_a_a(f,a2),aa_a_a(aa_a_fun_a_a(f,b),c))) ),
inference(rew,[status(thm),theory(equality)],[34,113]),
[iquote('0:Rew:34.3,113.3')] ).
cnf(116,plain,
~ equal(aa_a_a(aa_a_fun_a_a(f,a2),aa_a_a(aa_a_fun_a_a(f,c),b)),aa_a_a(aa_a_fun_a_a(f,a2),aa_a_a(aa_a_fun_a_a(f,b),c))),
inference(mrr,[status(thm)],[115,6,4,5]),
[iquote('0:MRR:115.0,115.1,115.2,6.0,4.0,5.0')] ).
cnf(136,plain,
( ~ a(c)
| ~ a(b)
| ~ equal(aa_a_a(aa_a_fun_a_a(f,a2),aa_a_a(aa_a_fun_a_a(f,b),c)),aa_a_a(aa_a_fun_a_a(f,a2),aa_a_a(aa_a_fun_a_a(f,b),c))) ),
inference(spl,[status(thm),theory(equality)],[27,116]),
[iquote('0:SpL:27.2,116.0')] ).
cnf(139,plain,
( ~ a(c)
| ~ a(b) ),
inference(obv,[status(thm),theory(equality)],[136]),
[iquote('0:Obv:136.2')] ).
cnf(140,plain,
$false,
inference(mrr,[status(thm)],[139,4,5]),
[iquote('0:MRR:139.0,139.1,4.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP209_1 : TPTP v8.1.0. Released v8.0.0.
% 0.07/0.12 % Command : spasst-tptp-script %s %d
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 3 07:26:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % Using EUF theory
% 0.78/1.07
% 0.78/1.07
% 0.78/1.07 % SZS status Theorem for /tmp/SPASST_3028_n022.cluster.edu
% 0.78/1.07
% 0.78/1.07 SPASS V 2.2.22 in combination with yices.
% 0.78/1.07 SPASS beiseite: Proof found by SPASS.
% 0.78/1.07 Problem: /tmp/SPASST_3028_n022.cluster.edu
% 0.78/1.07 SPASS derived 59 clauses, backtracked 0 clauses and kept 53 clauses.
% 0.78/1.07 SPASS backtracked 0 times (0 times due to theory inconsistency).
% 0.78/1.07 SPASS allocated 6647 KBytes.
% 0.78/1.07 SPASS spent 0:00:00.03 on the problem.
% 0.78/1.07 0:00:00.00 for the input.
% 0.78/1.07 0:00:00.01 for the FLOTTER CNF translation.
% 0.78/1.07 0:00:00.00 for inferences.
% 0.78/1.07 0:00:00.00 for the backtracking.
% 0.78/1.07 0:00:00.00 for the reduction.
% 0.78/1.07 0:00:00.00 for interacting with the SMT procedure.
% 0.78/1.07
% 0.78/1.07
% 0.78/1.07 % SZS output start CNFRefutation for /tmp/SPASST_3028_n022.cluster.edu
% See solution above
% 0.78/1.07
% 0.78/1.07 Formulae used in the proof : fof_sy_v_c fof_sy_v_b fof_sy_v_a fof_fact_1_commute fof_conj_0 fof_fact_3_right__assoc
% 0.81/1.09
% 0.81/1.09 SPASS+T ended
%------------------------------------------------------------------------------