TSTP Solution File: SYN074+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN074+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 12:18:21 EDT 2022
% Result : Theorem 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of clauses : 43 ( 10 unt; 17 nHn; 43 RR)
% Number of literals : 90 ( 0 equ; 42 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ big(u,v)
| equal(u,skc7) ),
file('SYN074+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ big(u,v)
| equal(v,skc8) ),
file('SYN074+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ equal(u,skc7)
| ~ equal(v,skc8)
| big(u,v) ),
file('SYN074+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ equal(u,skf5(v))
| equal(skf3(v),v)
| big(skf3(v),u) ),
file('SYN074+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ equal(skf3(u),u)
| big(skf3(u),skf6(v,u))
| equal(skf6(v,u),v) ),
file('SYN074+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ equal(skf3(u),u)
| ~ big(skf3(u),skf6(v,u))
| ~ equal(skf6(v,u),v) ),
file('SYN074+1.p',unknown),
[] ).
cnf(11,plain,
( ~ equal(u,skf5(v))
| equal(skf3(v),v)
| equal(skf3(v),skc7) ),
inference(res,[status(thm),theory(equality)],[5,1]),
[iquote('0:Res:5.2,1.0')] ).
cnf(14,plain,
( equal(skf3(u),u)
| equal(skf3(u),skc7) ),
inference(aed,[status(thm),theory(equality)],[11]),
[iquote('0:AED:11.0')] ).
cnf(15,plain,
( ~ equal(u,skf5(v))
| equal(skf3(v),v)
| big(skc7,u) ),
inference(rew,[status(thm),theory(equality)],[14,5]),
[iquote('0:Rew:14.1,5.2')] ).
cnf(16,plain,
( ~ equal(u,skc7)
| equal(skf3(u),skc7) ),
inference(eqf,[status(thm),theory(equality)],[14]),
[iquote('0:EqF:14.0,14.1')] ).
cnf(18,plain,
equal(skf3(skc7),skc7),
inference(fac,[status(thm)],[14]),
[iquote('0:Fac:14.0,14.1')] ).
cnf(35,plain,
( equal(skf3(u),u)
| big(skc7,skf5(u)) ),
inference(eqr,[status(thm),theory(equality)],[15]),
[iquote('0:EqR:15.0')] ).
cnf(55,plain,
( equal(skf3(u),u)
| equal(skf5(u),skc8) ),
inference(res,[status(thm),theory(equality)],[35,2]),
[iquote('0:Res:35.1,2.0')] ).
cnf(58,plain,
( equal(skf3(u),u)
| big(skc7,skc8) ),
inference(rew,[status(thm),theory(equality)],[55,35]),
[iquote('0:Rew:55.1,35.1')] ).
cnf(67,plain,
equal(skf3(u),u),
inference(spt,[spt(split,[position(s1)])],[58]),
[iquote('1:Spt:58.0')] ).
cnf(70,plain,
( ~ equal(u,u)
| ~ big(skf3(u),skf6(v,u))
| ~ equal(skf6(v,u),v) ),
inference(rew,[status(thm),theory(equality)],[67,7]),
[iquote('1:Rew:67.0,7.0')] ).
cnf(71,plain,
( ~ equal(u,u)
| big(skf3(u),skf6(v,u))
| equal(skf6(v,u),v) ),
inference(rew,[status(thm),theory(equality)],[67,6]),
[iquote('1:Rew:67.0,6.0')] ).
cnf(75,plain,
( big(skf3(u),skf6(v,u))
| equal(skf6(v,u),v) ),
inference(obv,[status(thm),theory(equality)],[71]),
[iquote('1:Obv:71.0')] ).
cnf(76,plain,
( big(u,skf6(v,u))
| equal(skf6(v,u),v) ),
inference(rew,[status(thm),theory(equality)],[67,75]),
[iquote('1:Rew:67.0,75.0')] ).
cnf(77,plain,
( ~ big(skf3(u),skf6(v,u))
| ~ equal(skf6(v,u),v) ),
inference(obv,[status(thm),theory(equality)],[70]),
[iquote('1:Obv:70.0')] ).
cnf(78,plain,
( ~ big(u,skf6(v,u))
| ~ equal(skf6(v,u),v) ),
inference(rew,[status(thm),theory(equality)],[67,77]),
[iquote('1:Rew:67.0,77.0')] ).
cnf(84,plain,
( equal(skf6(u,v),u)
| equal(skf6(u,v),skc8) ),
inference(res,[status(thm),theory(equality)],[76,2]),
[iquote('1:Res:76.0,2.0')] ).
cnf(85,plain,
( big(u,skc8)
| equal(skf6(v,u),v) ),
inference(rew,[status(thm),theory(equality)],[84,76]),
[iquote('1:Rew:84.1,76.0')] ).
cnf(98,plain,
( ~ big(u,v)
| ~ equal(skf6(v,u),v)
| big(u,skc8) ),
inference(spl,[status(thm),theory(equality)],[85,78]),
[iquote('1:SpL:85.1,78.0')] ).
cnf(100,plain,
( ~ big(u,v)
| ~ equal(v,v)
| big(u,skc8) ),
inference(rew,[status(thm),theory(equality)],[85,98]),
[iquote('1:Rew:85.1,98.1')] ).
cnf(101,plain,
( ~ big(u,v)
| big(u,skc8) ),
inference(obv,[status(thm),theory(equality)],[100]),
[iquote('1:Obv:100.1')] ).
cnf(121,plain,
equal(skf6(skc8,u),skc8),
inference(fac,[status(thm)],[84]),
[iquote('1:Fac:84.0,84.1')] ).
cnf(141,plain,
( ~ big(u,skc8)
| ~ equal(skf6(skc8,u),skc8) ),
inference(spl,[status(thm),theory(equality)],[121,78]),
[iquote('1:SpL:121.0,78.0')] ).
cnf(142,plain,
( ~ big(u,skc8)
| ~ equal(skc8,skc8) ),
inference(rew,[status(thm),theory(equality)],[121,141]),
[iquote('1:Rew:121.0,141.1')] ).
cnf(143,plain,
~ big(u,skc8),
inference(obv,[status(thm),theory(equality)],[142]),
[iquote('1:Obv:142.1')] ).
cnf(145,plain,
~ big(u,v),
inference(mrr,[status(thm)],[101,143]),
[iquote('1:MRR:101.1,143.0')] ).
cnf(147,plain,
( ~ equal(u,skc7)
| ~ equal(v,skc8) ),
inference(mrr,[status(thm)],[4,145]),
[iquote('1:MRR:4.2,145.0')] ).
cnf(152,plain,
$false,
inference(aed,[status(thm),theory(equality)],[147]),
[iquote('1:AED:147.1')] ).
cnf(155,plain,
big(skc7,skc8),
inference(spt,[spt(split,[position(s2)])],[58]),
[iquote('1:Spt:152.0,58.1')] ).
cnf(296,plain,
( ~ equal(skf3(skc7),skc7)
| big(skc7,skf6(u,skc7))
| equal(skf6(u,skc7),u) ),
inference(spr,[status(thm),theory(equality)],[18,6]),
[iquote('0:SpR:18.0,6.1')] ).
cnf(307,plain,
( ~ equal(skc7,skc7)
| big(skc7,skf6(u,skc7))
| equal(skf6(u,skc7),u) ),
inference(rew,[status(thm),theory(equality)],[18,296]),
[iquote('0:Rew:18.0,296.0')] ).
cnf(308,plain,
( big(skc7,skf6(u,skc7))
| equal(skf6(u,skc7),u) ),
inference(obv,[status(thm),theory(equality)],[307]),
[iquote('0:Obv:307.0')] ).
cnf(321,plain,
( equal(skf6(u,skc7),u)
| equal(skf6(u,skc7),skc8) ),
inference(res,[status(thm),theory(equality)],[308,2]),
[iquote('0:Res:308.0,2.0')] ).
cnf(325,plain,
equal(skf6(skc8,skc7),skc8),
inference(fac,[status(thm)],[321]),
[iquote('0:Fac:321.0,321.1')] ).
cnf(338,plain,
( ~ equal(skf3(skc7),skc7)
| ~ big(skf3(skc7),skc8)
| ~ equal(skf6(skc8,skc7),skc8) ),
inference(spl,[status(thm),theory(equality)],[325,7]),
[iquote('0:SpL:325.0,7.1')] ).
cnf(344,plain,
( ~ equal(skc7,skc7)
| ~ big(skc7,skc8)
| ~ equal(skc8,skc8) ),
inference(rew,[status(thm),theory(equality)],[325,338,16,18]),
[iquote('0:Rew:325.0,338.2,16.1,338.1,18.0,338.0')] ).
cnf(345,plain,
~ big(skc7,skc8),
inference(obv,[status(thm),theory(equality)],[344]),
[iquote('0:Obv:344.2')] ).
cnf(346,plain,
$false,
inference(mrr,[status(thm)],[345,155]),
[iquote('1:MRR:345.0,155.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN074+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n024.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 : Mon Jul 11 19:19:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44
% 0.18/0.44 SPASS V 3.9
% 0.18/0.44 SPASS beiseite: Proof found.
% 0.18/0.44 % SZS status Theorem
% 0.18/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 SPASS derived 261 clauses, backtracked 29 clauses, performed 3 splits and kept 121 clauses.
% 0.18/0.44 SPASS allocated 85241 KBytes.
% 0.18/0.44 SPASS spent 0:00:00.10 on the problem.
% 0.18/0.44 0:00:00.03 for the input.
% 0.18/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.44 0:00:00.00 for inferences.
% 0.18/0.44 0:00:00.00 for the backtracking.
% 0.18/0.44 0:00:00.01 for the reduction.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Here is a proof with depth 6, length 43 :
% 0.18/0.44 % SZS output start Refutation
% See solution above
% 0.18/0.45 Formulae used in the proof : pel51_1 pel51
% 0.18/0.45
%------------------------------------------------------------------------------