TSTP Solution File: ITP018_1 by SPASS+T---2.2.22
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%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : ITP018_1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n025.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 00:39:58 EDT 2022
% Result : Theorem 1.03s 1.51s
% Output : Refutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 10 unt; 0 nHn; 21 RR)
% Number of literals : 42 ( 0 equ; 30 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(12,axiom,
u(c_2Ebool_2Ethe__value_2E0),
file('ITP018_1.p',unknown),
[] ).
cnf(38,axiom,
d(skc11),
file('ITP018_1.p',unknown),
[] ).
cnf(39,axiom,
d(skc10),
file('ITP018_1.p',unknown),
[] ).
cnf(60,axiom,
( ~ du(U)
| u(c_2Ebinary__ieee_2Efloat__plus__min_2E1(U)) ),
file('ITP018_1.p',unknown),
[] ).
cnf(64,axiom,
( ~ d(U)
| d(tyop_2Ebool_2Eitself(U)) ),
file('ITP018_1.p',unknown),
[] ).
cnf(83,axiom,
( ~ d(U)
| ~ u(V)
| du(s(U,V)) ),
file('ITP018_1.p',unknown),
[] ).
cnf(84,axiom,
( ~ d(U)
| ~ d(V)
| d(tyop_2Epair_2Eprod(U,V)) ),
file('ITP018_1.p',unknown),
[] ).
cnf(128,axiom,
( ~ d(U)
| ~ d(V)
| equal(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(U,V),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(U,V)),c_2Ebool_2Ethe__value_2E0)))))),j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(U,V)),c_2Ebool_2Ethe__value_2E0))))) ),
file('ITP018_1.p',unknown),
[] ).
cnf(129,axiom,
~ equal(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skc11,skc10),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skc11,skc10),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skc11,skc10)),c_2Ebool_2Ethe__value_2E0)))))))),mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skc11,skc10)),c_2Ebool_2Ethe__value_2E0)))))),
file('ITP018_1.p',unknown),
[] ).
cnf(132,axiom,
( ~ d(U)
| ~ d(V)
| ~ u(W)
| equal(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(U,V),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(U,V),W)))))),mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(U,V),W)))))) ),
file('ITP018_1.p',unknown),
[] ).
cnf(201,plain,
( ~ d(U)
| d(tyop_2Epair_2Eprod(skc11,U)) ),
inference(res,[status(thm),theory(equality)],[38,84]),
[iquote('0:Res:38.0,84.1')] ).
cnf(231,plain,
d(tyop_2Epair_2Eprod(skc11,skc10)),
inference(res,[status(thm),theory(equality)],[39,201]),
[iquote('0:Res:39.0,201.0')] ).
cnf(1419,plain,
( ~ d(skc11)
| ~ d(skc10)
| ~ u(c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skc11,skc10)),c_2Ebool_2Ethe__value_2E0)))
| ~ equal(mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skc11,skc10),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skc11,skc10)),c_2Ebool_2Ethe__value_2E0))))))),mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skc11,skc10)),c_2Ebool_2Ethe__value_2E0)))))) ),
inference(spl,[status(thm),theory(equality)],[132,129]),
[iquote('0:SpL:132.3,129.0')] ).
cnf(1420,plain,
( ~ d(skc11)
| ~ d(skc10)
| ~ u(c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skc11,skc10)),c_2Ebool_2Ethe__value_2E0)))
| ~ equal(mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skc11,skc10)),c_2Ebool_2Ethe__value_2E0))))),mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skc11,skc10)),c_2Ebool_2Ethe__value_2E0)))))) ),
inference(rew,[status(thm),theory(equality)],[128,1419]),
[iquote('0:Rew:128.2,1419.3')] ).
cnf(1421,plain,
( ~ d(skc11)
| ~ d(skc10)
| ~ u(c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skc11,skc10)),c_2Ebool_2Ethe__value_2E0))) ),
inference(obv,[status(thm),theory(equality)],[1420]),
[iquote('0:Obv:1420.3')] ).
cnf(1422,plain,
~ u(c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skc11,skc10)),c_2Ebool_2Ethe__value_2E0))),
inference(mrr,[status(thm)],[1421,38,39]),
[iquote('0:MRR:1421.0,1421.1,38.0,39.0')] ).
cnf(1423,plain,
~ du(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skc11,skc10)),c_2Ebool_2Ethe__value_2E0)),
inference(res,[status(thm),theory(equality)],[60,1422]),
[iquote('0:Res:60.1,1422.0')] ).
cnf(1424,plain,
( ~ d(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skc11,skc10)))
| ~ u(c_2Ebool_2Ethe__value_2E0) ),
inference(res,[status(thm),theory(equality)],[83,1423]),
[iquote('0:Res:83.2,1423.0')] ).
cnf(1425,plain,
~ d(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skc11,skc10))),
inference(mrr,[status(thm)],[1424,12]),
[iquote('0:MRR:1424.1,12.0')] ).
cnf(1426,plain,
~ d(tyop_2Epair_2Eprod(skc11,skc10)),
inference(res,[status(thm),theory(equality)],[64,1425]),
[iquote('0:Res:64.1,1425.0')] ).
cnf(1427,plain,
$false,
inference(mrr,[status(thm)],[1426,231]),
[iquote('0:MRR:1426.0,231.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP018_1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.10/0.12 % Command : spasst-tptp-script %s %d
% 0.12/0.33 % Computer : n025.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 20:43:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % Using EUF theory
% 1.03/1.51
% 1.03/1.51
% 1.03/1.51 % SZS status Theorem for /tmp/SPASST_5811_n025.cluster.edu
% 1.03/1.51
% 1.03/1.51 SPASS V 2.2.22 in combination with yices.
% 1.03/1.51 SPASS beiseite: Proof found by SPASS.
% 1.03/1.51 Problem: /tmp/SPASST_5811_n025.cluster.edu
% 1.03/1.51 SPASS derived 964 clauses, backtracked 7 clauses and kept 577 clauses.
% 1.03/1.51 SPASS backtracked 2 times (0 times due to theory inconsistency).
% 1.03/1.51 SPASS allocated 9173 KBytes.
% 1.03/1.51 SPASS spent 0:00:00.23 on the problem.
% 1.03/1.51 0:00:00.01 for the input.
% 1.03/1.51 0:00:00.02 for the FLOTTER CNF translation.
% 1.03/1.51 0:00:00.01 for inferences.
% 1.03/1.51 0:00:00.00 for the backtracking.
% 1.03/1.51 0:00:00.09 for the reduction.
% 1.03/1.51 0:00:00.02 for interacting with the SMT procedure.
% 1.03/1.51
% 1.03/1.51
% 1.03/1.51 % SZS output start CNFRefutation for /tmp/SPASST_5811_n025.cluster.edu
% See solution above
% 1.03/1.51
% 1.03/1.51 Formulae used in the proof : fof_c_2Ebool_2Ethe__value_2E0 fof_thm_2Ebinary__ieee_2Eneg__ulp fof_c_2Ebinary__ieee_2Efloat__plus__min_2E1 fof_tyop_2Ebool_2Eitself fof_s fof_tyop_2Epair_2Eprod fof_thm_2Ebinary__ieee_2Eulp fof_thm_2Ebinary__ieee_2Efloat__to__real__negate
% 1.03/1.54
% 1.03/1.54 SPASS+T ended
%------------------------------------------------------------------------------