TSTP Solution File: SWW246+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWW246+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 : Thu Jul 21 01:28:10 EDT 2022
% Result : Theorem 3.82s 4.02s
% Output : Refutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 4 unt; 0 nHn; 11 RR)
% Number of literals : 20 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(98,axiom,
class_Rings_Oidom(t_a),
file('SWW246+1.p',unknown),
[] ).
cnf(114,axiom,
( ~ class_Rings_Oidom(u)
| class_Rings_Ocomm__semiring__0(u) ),
file('SWW246+1.p',unknown),
[] ).
cnf(349,axiom,
( ~ class_Rings_Oidom(t_a)
| ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ),
file('SWW246+1.p',unknown),
[] ).
cnf(385,axiom,
( ~ class_Rings_Ocomm__semiring__0(u)
| equal(hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v),c_Groups_Ozero__class_Ozero(u)) ),
file('SWW246+1.p',unknown),
[] ).
cnf(444,axiom,
( ~ equal(hAPP(u,skf24(u)),hAPP(u,skf23(u)))
| c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,u) ),
file('SWW246+1.p',unknown),
[] ).
cnf(1543,plain,
~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
inference(mrr,[status(thm)],[349,98]),
[iquote('0:MRR:349.0,98.0')] ).
cnf(11549,plain,
( ~ class_Rings_Ocomm__semiring__0(u)
| ~ equal(hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),skf23(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))),c_Groups_Ozero__class_Ozero(u))
| c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))) ),
inference(spl,[status(thm),theory(equality)],[385,444]),
[iquote('0:SpL:385.1,444.0')] ).
cnf(11567,plain,
( ~ class_Rings_Ocomm__semiring__0(u)
| ~ equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Ozero__class_Ozero(u))
| c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))) ),
inference(rew,[status(thm),theory(equality)],[385,11549]),
[iquote('0:Rew:385.1,11549.1')] ).
cnf(11568,plain,
( ~ class_Rings_Ocomm__semiring__0(u)
| c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))) ),
inference(obv,[status(thm),theory(equality)],[11567]),
[iquote('0:Obv:11567.1')] ).
cnf(11791,plain,
~ class_Rings_Ocomm__semiring__0(t_a),
inference(res,[status(thm),theory(equality)],[11568,1543]),
[iquote('0:Res:11568.1,1543.0')] ).
cnf(11793,plain,
$false,
inference(ssi,[status(thm)],[11791,114,98]),
[iquote('0:SSi:11791.0,114.0,98.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SWW246+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 5 20:37:34 EDT 2022
% 0.14/0.36 % CPUTime :
% 3.82/4.02
% 3.82/4.02 SPASS V 3.9
% 3.82/4.02 SPASS beiseite: Proof found.
% 3.82/4.02 % SZS status Theorem
% 3.82/4.02 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.82/4.02 SPASS derived 8283 clauses, backtracked 0 clauses, performed 1 splits and kept 3361 clauses.
% 3.82/4.02 SPASS allocated 107995 KBytes.
% 3.82/4.02 SPASS spent 0:00:03.55 on the problem.
% 3.82/4.02 0:00:00.06 for the input.
% 3.82/4.02 0:00:00.45 for the FLOTTER CNF translation.
% 3.82/4.02 0:00:00.14 for inferences.
% 3.82/4.02 0:00:00.01 for the backtracking.
% 3.82/4.02 0:00:02.67 for the reduction.
% 3.82/4.02
% 3.82/4.02
% 3.82/4.02 Here is a proof with depth 2, length 11 :
% 3.82/4.02 % SZS output start Refutation
% See solution above
% 3.82/4.02 Formulae used in the proof : tfree_0 clrel_Rings_Oidom__Rings_Ocomm__semiring__0 fact__C0_C fact_poly__0 fact_constant__def
% 3.82/4.02
%------------------------------------------------------------------------------