TSTP Solution File: GRP415-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP415-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : Sat Jul 16 11:47:22 EDT 2022
% Result : Unsatisfiable 12.77s 13.01s
% Output : Refutation 12.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 22 RR)
% Number of literals : 22 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 18 ( 4 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(inverse(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(v,u)),multiply(v,inverse(w)))),inverse(multiply(inverse(u),u)))))),w),
file('GRP415-1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1)),
file('GRP415-1.p',unknown),
[] ).
cnf(6,plain,
equal(inverse(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(v,u)),multiply(v,w))),inverse(multiply(inverse(u),u)))))),multiply(x,inverse(multiply(inverse(multiply(inverse(multiply(y,x)),multiply(y,inverse(w)))),inverse(multiply(inverse(x),x)))))),
inference(spr,[status(thm),theory(equality)],[1]),
[iquote('0:SpR:1.0,1.0')] ).
cnf(11,plain,
equal(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(v,u)),multiply(v,inverse(inverse(w))))),inverse(multiply(inverse(u),u))))),w),
inference(spr,[status(thm),theory(equality)],[6,1]),
[iquote('0:SpR:6.0,1.0')] ).
cnf(21,plain,
equal(inverse(inverse(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(v,u)),multiply(v,w))),inverse(multiply(inverse(u),u))))))),w),
inference(spr,[status(thm),theory(equality)],[6,1]),
[iquote('0:SpR:6.0,1.0')] ).
cnf(107,plain,
equal(inverse(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(v,u)),w)),inverse(multiply(inverse(u),u)))))),multiply(inverse(multiply(inverse(multiply(x,v)),multiply(x,inverse(inverse(w))))),inverse(multiply(inverse(v),v)))),
inference(spr,[status(thm),theory(equality)],[11,1]),
[iquote('0:SpR:11.0,1.0')] ).
cnf(113,plain,
equal(inverse(inverse(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(v,u)),w)),inverse(multiply(inverse(u),u))))))),inverse(multiply(inverse(multiply(inverse(multiply(x,v)),multiply(x,inverse(inverse(w))))),inverse(multiply(inverse(v),v))))),
inference(spr,[status(thm),theory(equality)],[11,21]),
[iquote('0:SpR:11.0,21.0')] ).
cnf(151,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,inverse(inverse(multiply(v,inverse(w))))))),inverse(multiply(inverse(v),v))),w),
inference(spr,[status(thm),theory(equality)],[107,1]),
[iquote('0:SpR:107.0,1.0')] ).
cnf(153,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,inverse(inverse(multiply(v,w)))))),inverse(multiply(inverse(v),v)))),w),
inference(spr,[status(thm),theory(equality)],[107,21]),
[iquote('0:SpR:107.0,21.0')] ).
cnf(182,plain,
equal(multiply(u,inverse(inverse(multiply(v,inverse(multiply(inverse(multiply(inverse(multiply(u,v)),w)),inverse(multiply(inverse(v),v)))))))),w),
inference(spr,[status(thm),theory(equality)],[107,11]),
[iquote('0:SpR:107.0,11.0')] ).
cnf(269,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(v,w)))),multiply(u,inverse(x)))),inverse(multiply(inverse(inverse(multiply(v,w))),inverse(multiply(v,w)))))),multiply(v,inverse(inverse(multiply(w,inverse(multiply(x,inverse(multiply(inverse(w),w))))))))),
inference(spr,[status(thm),theory(equality)],[1,182]),
[iquote('0:SpR:1.0,182.0')] ).
cnf(494,plain,
equal(inverse(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(v,w)),multiply(v,inverse(inverse(multiply(w,inverse(x))))))),u)),x)),inverse(multiply(inverse(u),u)))))),multiply(inverse(w),w)),
inference(spr,[status(thm),theory(equality)],[151,1]),
[iquote('0:SpR:151.0,1.0')] ).
cnf(1617,plain,
equal(inverse(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(multiply(inverse(v),v)),inverse(multiply(inverse(inverse(multiply(inverse(u),u))),inverse(multiply(inverse(u),u)))))))),multiply(inverse(u),u)),
inference(spr,[status(thm),theory(equality)],[153,494]),
[iquote('0:SpR:153.0,494.0')] ).
cnf(1673,plain,
equal(multiply(inverse(multiply(inverse(u),u)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(v),v)),inverse(multiply(inverse(inverse(multiply(inverse(u),u))),inverse(multiply(inverse(u),u)))))),inverse(multiply(inverse(multiply(multiply(inverse(u),u),w)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(v),v)),inverse(multiply(inverse(inverse(multiply(inverse(u),u))),inverse(multiply(inverse(u),u))))))),inverse(multiply(inverse(multiply(inverse(v),v)),inverse(multiply(inverse(inverse(multiply(inverse(u),u))),inverse(multiply(inverse(u),u)))))))))))))),w),
inference(spr,[status(thm),theory(equality)],[1617,182]),
[iquote('0:SpR:1617.0,182.0')] ).
cnf(1917,plain,
equal(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(inverse(v),v)))))),inverse(multiply(inverse(multiply(multiply(inverse(v),v),w)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(inverse(v),v))))))),inverse(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(inverse(v),v))))))))))))),inverse(multiply(inverse(multiply(inverse(multiply(x,inverse(multiply(inverse(v),v)))),multiply(x,inverse(inverse(w))))),inverse(multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(inverse(v),v))))))),
inference(spr,[status(thm),theory(equality)],[1617,113]),
[iquote('0:SpR:1617.0,113.0')] ).
cnf(2071,plain,
equal(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(inverse(v),v)))))),inverse(multiply(inverse(multiply(multiply(inverse(v),v),w)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(inverse(v),v))))))),inverse(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(inverse(v),v))))))))))))),multiply(inverse(v),inverse(inverse(multiply(v,inverse(multiply(inverse(w),inverse(multiply(inverse(v),v))))))))),
inference(rew,[status(thm),theory(equality)],[269,1917]),
[iquote('0:Rew:269.0,1917.0')] ).
cnf(2073,plain,
equal(multiply(inverse(multiply(inverse(u),u)),multiply(inverse(u),inverse(inverse(multiply(u,inverse(multiply(inverse(v),inverse(multiply(inverse(u),u))))))))),v),
inference(rew,[status(thm),theory(equality)],[2071,1673]),
[iquote('0:Rew:2071.0,1673.0')] ).
cnf(2509,plain,
equal(multiply(inverse(multiply(inverse(u),u)),multiply(inverse(u),v)),multiply(inverse(multiply(w,u)),multiply(w,v))),
inference(spr,[status(thm),theory(equality)],[21,2073]),
[iquote('0:SpR:21.0,2073.0')] ).
cnf(2594,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,inverse(inverse(multiply(v,inverse(multiply(inverse(w),inverse(multiply(inverse(v),v))))))))),w),
inference(spr,[status(thm),theory(equality)],[2509,2073]),
[iquote('0:SpR:2509.0,2073.0')] ).
cnf(3223,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(v),v)))),multiply(u,inverse(multiply(inverse(v),v)))),multiply(inverse(w),w)),
inference(spr,[status(thm),theory(equality)],[1617,2594]),
[iquote('0:SpR:1617.0,2594.0')] ).
cnf(3724,plain,
equal(multiply(inverse(u),u),multiply(inverse(v),v)),
inference(spr,[status(thm),theory(equality)],[3223]),
[iquote('0:SpR:3223.0,3223.0')] ).
cnf(3988,plain,
$false,
inference(unc,[status(thm)],[3724,2]),
[iquote('0:UnC:3724.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP415-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 06:42:11 EDT 2022
% 0.14/0.34 % CPUTime :
% 12.77/13.01
% 12.77/13.01 SPASS V 3.9
% 12.77/13.01 SPASS beiseite: Proof found.
% 12.77/13.01 % SZS status Theorem
% 12.77/13.01 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.77/13.01 SPASS derived 3550 clauses, backtracked 0 clauses, performed 0 splits and kept 1433 clauses.
% 12.77/13.01 SPASS allocated 99953 KBytes.
% 12.77/13.01 SPASS spent 0:0:12.44 on the problem.
% 12.77/13.01 0:00:00.03 for the input.
% 12.77/13.01 0:00:00.00 for the FLOTTER CNF translation.
% 12.77/13.01 0:00:00.10 for inferences.
% 12.77/13.01 0:00:00.00 for the backtracking.
% 12.77/13.01 0:0:12.28 for the reduction.
% 12.77/13.01
% 12.77/13.01
% 12.77/13.01 Here is a proof with depth 11, length 22 :
% 12.77/13.01 % SZS output start Refutation
% See solution above
% 12.77/13.01 Formulae used in the proof : single_axiom prove_these_axioms_1
% 12.77/13.01
%------------------------------------------------------------------------------