TSTP Solution File: SYN075+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN075+1 : TPTP v8.1.0. Released v2.0.0.
% 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 12:18:22 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% 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('SYN075+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ big(u,v)
| equal(v,skc8) ),
file('SYN075+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ equal(u,skc7)
| ~ equal(v,skc8)
| big(u,v) ),
file('SYN075+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ equal(u,skf5(v))
| big(u,skf3(v))
| equal(skf3(v),v) ),
file('SYN075+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ equal(skf3(u),u)
| equal(skf6(v,u),v)
| big(skf6(v,u),skf3(u)) ),
file('SYN075+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ equal(skf3(u),u)
| ~ equal(skf6(v,u),v)
| ~ big(skf6(v,u),skf3(u)) ),
file('SYN075+1.p',unknown),
[] ).
cnf(12,plain,
( ~ equal(u,skf5(v))
| equal(skf3(v),v)
| equal(skf3(v),skc8) ),
inference(res,[status(thm),theory(equality)],[5,2]),
[iquote('0:Res:5.1,2.0')] ).
cnf(14,plain,
( equal(skf3(u),u)
| equal(skf3(u),skc8) ),
inference(aed,[status(thm),theory(equality)],[12]),
[iquote('0:AED:12.0')] ).
cnf(15,plain,
( ~ equal(u,skf5(v))
| big(u,skc8)
| equal(skf3(v),v) ),
inference(rew,[status(thm),theory(equality)],[14,5]),
[iquote('0:Rew:14.1,5.1')] ).
cnf(16,plain,
( ~ equal(u,skc8)
| equal(skf3(u),skc8) ),
inference(eqf,[status(thm),theory(equality)],[14]),
[iquote('0:EqF:14.0,14.1')] ).
cnf(18,plain,
equal(skf3(skc8),skc8),
inference(fac,[status(thm)],[14]),
[iquote('0:Fac:14.0,14.1')] ).
cnf(35,plain,
( big(skf5(u),skc8)
| equal(skf3(u),u) ),
inference(eqr,[status(thm),theory(equality)],[15]),
[iquote('0:EqR:15.0')] ).
cnf(49,plain,
( equal(skf3(u),u)
| equal(skf5(u),skc7) ),
inference(res,[status(thm),theory(equality)],[35,1]),
[iquote('0:Res:35.0,1.0')] ).
cnf(52,plain,
( big(skc7,skc8)
| equal(skf3(u),u) ),
inference(rew,[status(thm),theory(equality)],[49,35]),
[iquote('0:Rew:49.1,35.0')] ).
cnf(61,plain,
equal(skf3(u),u),
inference(spt,[spt(split,[position(s1)])],[52]),
[iquote('1:Spt:52.1')] ).
cnf(64,plain,
( ~ equal(u,u)
| ~ equal(skf6(v,u),v)
| ~ big(skf6(v,u),skf3(u)) ),
inference(rew,[status(thm),theory(equality)],[61,7]),
[iquote('1:Rew:61.0,7.0')] ).
cnf(65,plain,
( ~ equal(u,u)
| equal(skf6(v,u),v)
| big(skf6(v,u),skf3(u)) ),
inference(rew,[status(thm),theory(equality)],[61,6]),
[iquote('1:Rew:61.0,6.0')] ).
cnf(69,plain,
( equal(skf6(u,v),u)
| big(skf6(u,v),skf3(v)) ),
inference(obv,[status(thm),theory(equality)],[65]),
[iquote('1:Obv:65.0')] ).
cnf(70,plain,
( equal(skf6(u,v),u)
| big(skf6(u,v),v) ),
inference(rew,[status(thm),theory(equality)],[61,69]),
[iquote('1:Rew:61.0,69.1')] ).
cnf(71,plain,
( ~ equal(skf6(u,v),u)
| ~ big(skf6(u,v),skf3(v)) ),
inference(obv,[status(thm),theory(equality)],[64]),
[iquote('1:Obv:64.0')] ).
cnf(72,plain,
( ~ equal(skf6(u,v),u)
| ~ big(skf6(u,v),v) ),
inference(rew,[status(thm),theory(equality)],[61,71]),
[iquote('1:Rew:61.0,71.1')] ).
cnf(77,plain,
( equal(skf6(u,v),u)
| equal(skf6(u,v),skc7) ),
inference(res,[status(thm),theory(equality)],[70,1]),
[iquote('1:Res:70.1,1.0')] ).
cnf(79,plain,
( equal(skf6(u,v),u)
| big(skc7,v) ),
inference(rew,[status(thm),theory(equality)],[77,70]),
[iquote('1:Rew:77.1,70.1')] ).
cnf(102,plain,
( ~ equal(skf6(u,v),u)
| ~ big(u,v)
| big(skc7,v) ),
inference(spl,[status(thm),theory(equality)],[79,72]),
[iquote('1:SpL:79.0,72.1')] ).
cnf(105,plain,
( ~ equal(u,u)
| ~ big(u,v)
| big(skc7,v) ),
inference(rew,[status(thm),theory(equality)],[79,102]),
[iquote('1:Rew:79.0,102.0')] ).
cnf(106,plain,
( ~ big(u,v)
| big(skc7,v) ),
inference(obv,[status(thm),theory(equality)],[105]),
[iquote('1:Obv:105.0')] ).
cnf(125,plain,
equal(skf6(skc7,u),skc7),
inference(fac,[status(thm)],[77]),
[iquote('1:Fac:77.0,77.1')] ).
cnf(145,plain,
( ~ equal(skf6(skc7,u),skc7)
| ~ big(skc7,u) ),
inference(spl,[status(thm),theory(equality)],[125,72]),
[iquote('1:SpL:125.0,72.1')] ).
cnf(146,plain,
( ~ equal(skc7,skc7)
| ~ big(skc7,u) ),
inference(rew,[status(thm),theory(equality)],[125,145]),
[iquote('1:Rew:125.0,145.0')] ).
cnf(147,plain,
~ big(skc7,u),
inference(obv,[status(thm),theory(equality)],[146]),
[iquote('1:Obv:146.0')] ).
cnf(149,plain,
~ big(u,v),
inference(mrr,[status(thm)],[106,147]),
[iquote('1:MRR:106.1,147.0')] ).
cnf(151,plain,
( ~ equal(u,skc7)
| ~ equal(v,skc8) ),
inference(mrr,[status(thm)],[4,149]),
[iquote('1:MRR:4.2,149.0')] ).
cnf(156,plain,
$false,
inference(aed,[status(thm),theory(equality)],[151]),
[iquote('1:AED:151.1')] ).
cnf(160,plain,
big(skc7,skc8),
inference(spt,[spt(split,[position(s2)])],[52]),
[iquote('1:Spt:156.0,52.0')] ).
cnf(409,plain,
( ~ equal(skf3(skc8),skc8)
| equal(skf6(u,skc8),u)
| big(skf6(u,skc8),skc8) ),
inference(spr,[status(thm),theory(equality)],[18,6]),
[iquote('0:SpR:18.0,6.2')] ).
cnf(421,plain,
( ~ equal(skc8,skc8)
| equal(skf6(u,skc8),u)
| big(skf6(u,skc8),skc8) ),
inference(rew,[status(thm),theory(equality)],[18,409]),
[iquote('0:Rew:18.0,409.0')] ).
cnf(422,plain,
( equal(skf6(u,skc8),u)
| big(skf6(u,skc8),skc8) ),
inference(obv,[status(thm),theory(equality)],[421]),
[iquote('0:Obv:421.0')] ).
cnf(437,plain,
( equal(skf6(u,skc8),u)
| equal(skf6(u,skc8),skc7) ),
inference(res,[status(thm),theory(equality)],[422,1]),
[iquote('0:Res:422.1,1.0')] ).
cnf(444,plain,
equal(skf6(skc7,skc8),skc7),
inference(fac,[status(thm)],[437]),
[iquote('0:Fac:437.0,437.1')] ).
cnf(463,plain,
( ~ equal(skf3(skc8),skc8)
| ~ equal(skf6(skc7,skc8),skc7)
| ~ big(skc7,skf3(skc8)) ),
inference(spl,[status(thm),theory(equality)],[444,7]),
[iquote('0:SpL:444.0,7.2')] ).
cnf(465,plain,
( ~ equal(skc8,skc8)
| ~ equal(skc7,skc7)
| ~ big(skc7,skc8) ),
inference(rew,[status(thm),theory(equality)],[16,463,444,18]),
[iquote('0:Rew:16.1,463.2,444.0,463.1,18.0,463.0')] ).
cnf(466,plain,
~ big(skc7,skc8),
inference(obv,[status(thm),theory(equality)],[465]),
[iquote('0:Obv:465.1')] ).
cnf(467,plain,
$false,
inference(mrr,[status(thm)],[466,160]),
[iquote('1:MRR:466.0,160.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN075+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n021.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 : Tue Jul 12 05:29:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 345 clauses, backtracked 44 clauses, performed 4 splits and kept 162 clauses.
% 0.19/0.45 SPASS allocated 85310 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.03 for the input.
% 0.19/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.02 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 6, length 43 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : pel52_1 pel52
% 0.19/0.45
%------------------------------------------------------------------------------