TSTP Solution File: GRP710-10 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP710-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 : Sat Jul 16 11:49:07 EDT 2022
% Result : Unsatisfiable 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 21 RR)
% Number of literals : 21 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(mult(u,unit),u),
file('GRP710-10.p',unknown),
[] ).
cnf(2,axiom,
equal(mult(unit,u),u),
file('GRP710-10.p',unknown),
[] ).
cnf(3,axiom,
equal(mult(mult(mult(u,v),v),w),mult(u,mult(v,mult(v,w)))),
file('GRP710-10.p',unknown),
[] ).
cnf(5,axiom,
equal(mult(i(u),u),unit),
file('GRP710-10.p',unknown),
[] ).
cnf(6,axiom,
~ equal(mult(x0__dfg,u),x1__dfg),
file('GRP710-10.p',unknown),
[] ).
cnf(19,plain,
equal(mult(u,mult(v,mult(v,unit))),mult(mult(u,v),v)),
inference(spr,[status(thm),theory(equality)],[3,1]),
[iquote('0:SpR:3.0,1.0')] ).
cnf(24,plain,
equal(mult(unit,mult(u,mult(u,v))),mult(mult(u,u),v)),
inference(spr,[status(thm),theory(equality)],[2,3]),
[iquote('0:SpR:2.0,3.0')] ).
cnf(25,plain,
equal(mult(i(u),mult(u,mult(u,v))),mult(mult(unit,u),v)),
inference(spr,[status(thm),theory(equality)],[5,3]),
[iquote('0:SpR:5.0,3.0')] ).
cnf(29,plain,
equal(mult(mult(u,v),v),mult(u,mult(v,v))),
inference(rew,[status(thm),theory(equality)],[1,19]),
[iquote('0:Rew:1.0,19.0')] ).
cnf(30,plain,
equal(mult(mult(u,mult(v,v)),w),mult(u,mult(v,mult(v,w)))),
inference(rew,[status(thm),theory(equality)],[29,3]),
[iquote('0:Rew:29.0,3.0')] ).
cnf(31,plain,
equal(mult(mult(u,u),v),mult(u,mult(u,v))),
inference(rew,[status(thm),theory(equality)],[2,24]),
[iquote('0:Rew:2.0,24.0')] ).
cnf(35,plain,
equal(mult(i(u),mult(u,mult(u,v))),mult(u,v)),
inference(rew,[status(thm),theory(equality)],[2,25]),
[iquote('0:Rew:2.0,25.0')] ).
cnf(46,plain,
equal(mult(i(mult(u,u)),mult(u,mult(u,v))),mult(unit,v)),
inference(spr,[status(thm),theory(equality)],[5,30]),
[iquote('0:SpR:5.0,30.0')] ).
cnf(51,plain,
equal(mult(i(mult(u,u)),mult(u,mult(u,v))),v),
inference(rew,[status(thm),theory(equality)],[2,46]),
[iquote('0:Rew:2.0,46.0')] ).
cnf(60,plain,
equal(mult(i(u),mult(u,u)),mult(unit,u)),
inference(spr,[status(thm),theory(equality)],[5,29]),
[iquote('0:SpR:5.0,29.0')] ).
cnf(66,plain,
equal(mult(i(u),mult(u,u)),u),
inference(rew,[status(thm),theory(equality)],[2,60]),
[iquote('0:Rew:2.0,60.0')] ).
cnf(151,plain,
equal(mult(i(i(u)),mult(i(u),u)),u),
inference(spr,[status(thm),theory(equality)],[66,35]),
[iquote('0:SpR:66.0,35.0')] ).
cnf(162,plain,
equal(i(i(u)),u),
inference(rew,[status(thm),theory(equality)],[1,151,5]),
[iquote('0:Rew:1.0,151.0,5.0,151.0')] ).
cnf(203,plain,
equal(mult(i(i(mult(u,u))),mult(i(mult(u,u)),v)),v),
inference(spr,[status(thm),theory(equality)],[51,35]),
[iquote('0:SpR:51.0,35.0')] ).
cnf(230,plain,
equal(mult(u,mult(u,mult(i(mult(u,u)),v))),v),
inference(rew,[status(thm),theory(equality)],[31,203,162]),
[iquote('0:Rew:31.0,203.0,162.0,203.0')] ).
cnf(231,plain,
$false,
inference(unc,[status(thm)],[230,6]),
[iquote('0:UnC:230.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP710-10 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 13:03:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.44
% 0.20/0.44 SPASS V 3.9
% 0.20/0.44 SPASS beiseite: Proof found.
% 0.20/0.44 % SZS status Theorem
% 0.20/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.44 SPASS derived 153 clauses, backtracked 0 clauses, performed 0 splits and kept 54 clauses.
% 0.20/0.44 SPASS allocated 63443 KBytes.
% 0.20/0.44 SPASS spent 0:00:00.08 on the problem.
% 0.20/0.44 0:00:00.03 for the input.
% 0.20/0.44 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.44 0:00:00.00 for inferences.
% 0.20/0.44 0:00:00.00 for the backtracking.
% 0.20/0.44 0:00:00.02 for the reduction.
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 Here is a proof with depth 3, length 21 :
% 0.20/0.44 % SZS output start Refutation
% See solution above
% 0.20/0.44 Formulae used in the proof : f01 f02 f03 f05 goal
% 0.20/0.44
%------------------------------------------------------------------------------