TSTP Solution File: SEU224+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU224+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 : Tue Jul 19 14:35:13 EDT 2022
% Result : Theorem 244.89s 245.13s
% Output : Refutation 244.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 39 ( 13 unt; 2 nHn; 39 RR)
% Number of literals : 102 ( 0 equ; 66 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc11),
file('SEU224+1.p',unknown),
[] ).
cnf(2,axiom,
function(skc11),
file('SEU224+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ relation(u)
| relation(relation_dom_restriction(u,v)) ),
file('SEU224+1.p',unknown),
[] ).
cnf(38,axiom,
( in(skc12,skc13)
| in(skc12,relation_dom(relation_dom_restriction(skc11,skc13))) ),
file('SEU224+1.p',unknown),
[] ).
cnf(42,axiom,
( in(skc12,relation_dom(skc11))
| in(skc12,relation_dom(relation_dom_restriction(skc11,skc13))) ),
file('SEU224+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ relation(u)
| ~ function(u)
| function(relation_dom_restriction(u,v)) ),
file('SEU224+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ in(u,v)
| ~ equal(v,set_intersection2(w,x))
| in(u,w) ),
file('SEU224+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ in(u,v)
| ~ equal(v,set_intersection2(w,x))
| in(u,x) ),
file('SEU224+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ in(skc12,skc13)
| ~ in(skc12,relation_dom(skc11))
| ~ in(skc12,relation_dom(relation_dom_restriction(skc11,skc13))) ),
file('SEU224+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ in(u,v)
| ~ in(u,w)
| ~ equal(x,set_intersection2(w,v))
| in(u,x) ),
file('SEU224+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ relation(u)
| ~ function(u)
| ~ relation(v)
| ~ function(v)
| ~ equal(u,relation_dom_restriction(v,w))
| equal(relation_dom(u),set_intersection2(relation_dom(v),w)) ),
file('SEU224+1.p',unknown),
[] ).
cnf(65,plain,
( ~ relation(skc11)
| function(relation_dom_restriction(skc11,u)) ),
inference(res,[status(thm),theory(equality)],[2,47]),
[iquote('0:Res:2.0,47.0')] ).
cnf(73,plain,
( ~ function(skc11)
| ~ function(u)
| ~ relation(u)
| ~ equal(u,relation_dom_restriction(skc11,v))
| equal(relation_dom(u),set_intersection2(relation_dom(skc11),v)) ),
inference(res,[status(thm),theory(equality)],[1,56]),
[iquote('0:Res:1.0,56.1')] ).
cnf(78,plain,
relation(relation_dom_restriction(skc11,u)),
inference(res,[status(thm),theory(equality)],[1,34]),
[iquote('0:Res:1.0,34.0')] ).
cnf(84,plain,
function(relation_dom_restriction(skc11,u)),
inference(mrr,[status(thm)],[65,1]),
[iquote('0:MRR:65.0,1.0')] ).
cnf(86,plain,
( ~ relation(u)
| ~ function(u)
| ~ equal(u,relation_dom_restriction(skc11,v))
| equal(relation_dom(u),set_intersection2(relation_dom(skc11),v)) ),
inference(mrr,[status(thm)],[73,2]),
[iquote('0:MRR:73.0,2.0')] ).
cnf(121,plain,
in(skc12,relation_dom(relation_dom_restriction(skc11,skc13))),
inference(spt,[spt(split,[position(s1)])],[38]),
[iquote('1:Spt:38.1')] ).
cnf(122,plain,
( ~ in(skc12,skc13)
| ~ in(skc12,relation_dom(skc11)) ),
inference(mrr,[status(thm)],[51,121]),
[iquote('1:MRR:51.2,121.0')] ).
cnf(188,plain,
( ~ in(u,set_intersection2(v,w))
| in(u,w) ),
inference(eqr,[status(thm),theory(equality)],[50]),
[iquote('0:EqR:50.1')] ).
cnf(273,plain,
( ~ in(u,v)
| ~ in(u,w)
| in(u,set_intersection2(w,v)) ),
inference(eqr,[status(thm),theory(equality)],[52]),
[iquote('0:EqR:52.2')] ).
cnf(1293,plain,
( ~ relation(u)
| ~ function(u)
| ~ equal(u,relation_dom_restriction(skc11,v))
| ~ in(w,v)
| ~ in(w,relation_dom(skc11))
| in(w,relation_dom(u)) ),
inference(spr,[status(thm),theory(equality)],[86,273]),
[iquote('0:SpR:86.3,273.2')] ).
cnf(1310,plain,
( ~ relation(u)
| ~ function(u)
| ~ equal(u,relation_dom_restriction(skc11,v))
| ~ in(w,x)
| ~ equal(x,relation_dom(u))
| in(w,relation_dom(skc11)) ),
inference(spl,[status(thm),theory(equality)],[86,49]),
[iquote('0:SpL:86.3,49.1')] ).
cnf(1314,plain,
( ~ relation(u)
| ~ function(u)
| ~ equal(u,relation_dom_restriction(skc11,v))
| ~ in(w,relation_dom(u))
| in(w,v) ),
inference(spl,[status(thm),theory(equality)],[86,188]),
[iquote('0:SpL:86.3,188.0')] ).
cnf(12678,plain,
( ~ relation(relation_dom_restriction(skc11,u))
| ~ function(relation_dom_restriction(skc11,u))
| ~ in(v,relation_dom(relation_dom_restriction(skc11,u)))
| in(v,u) ),
inference(eqr,[status(thm),theory(equality)],[1314]),
[iquote('0:EqR:1314.2')] ).
cnf(12689,plain,
( ~ in(u,relation_dom(relation_dom_restriction(skc11,v)))
| in(u,v) ),
inference(ssi,[status(thm)],[12678,84,78]),
[iquote('0:SSi:12678.1,12678.0,84.0,78.0,84.0,78.0')] ).
cnf(12711,plain,
in(skc12,skc13),
inference(res,[status(thm),theory(equality)],[121,12689]),
[iquote('1:Res:121.0,12689.0')] ).
cnf(12779,plain,
~ in(skc12,relation_dom(skc11)),
inference(mrr,[status(thm)],[122,12711]),
[iquote('1:MRR:122.0,12711.0')] ).
cnf(16433,plain,
( ~ relation(relation_dom_restriction(skc11,u))
| ~ function(relation_dom_restriction(skc11,u))
| ~ in(v,w)
| ~ equal(w,relation_dom(relation_dom_restriction(skc11,u)))
| in(v,relation_dom(skc11)) ),
inference(eqr,[status(thm),theory(equality)],[1310]),
[iquote('0:EqR:1310.2')] ).
cnf(16444,plain,
( ~ in(u,v)
| ~ equal(v,relation_dom(relation_dom_restriction(skc11,w)))
| in(u,relation_dom(skc11)) ),
inference(ssi,[status(thm)],[16433,84,78]),
[iquote('0:SSi:16433.1,16433.0,84.0,78.0,84.0,78.0')] ).
cnf(16528,plain,
( ~ relation(relation_dom_restriction(skc11,u))
| ~ function(relation_dom_restriction(skc11,u))
| ~ in(v,u)
| ~ in(v,relation_dom(skc11))
| in(v,relation_dom(relation_dom_restriction(skc11,u))) ),
inference(eqr,[status(thm),theory(equality)],[1293]),
[iquote('0:EqR:1293.2')] ).
cnf(16539,plain,
( ~ in(u,v)
| ~ in(u,relation_dom(skc11))
| in(u,relation_dom(relation_dom_restriction(skc11,v))) ),
inference(ssi,[status(thm)],[16528,84,78]),
[iquote('0:SSi:16528.1,16528.0,84.0,78.0,84.0,78.0')] ).
cnf(47212,plain,
( ~ in(u,relation_dom(relation_dom_restriction(skc11,v)))
| in(u,relation_dom(skc11)) ),
inference(eqr,[status(thm),theory(equality)],[16444]),
[iquote('0:EqR:16444.1')] ).
cnf(47277,plain,
in(skc12,relation_dom(skc11)),
inference(res,[status(thm),theory(equality)],[121,47212]),
[iquote('1:Res:121.0,47212.0')] ).
cnf(47409,plain,
$false,
inference(mrr,[status(thm)],[47277,12779]),
[iquote('1:MRR:47277.0,12779.0')] ).
cnf(47443,plain,
~ in(skc12,relation_dom(relation_dom_restriction(skc11,skc13))),
inference(spt,[spt(split,[position(sa)])],[47409,121]),
[iquote('1:Spt:47409.0,38.1,121.0')] ).
cnf(47444,plain,
in(skc12,skc13),
inference(spt,[spt(split,[position(s2)])],[38]),
[iquote('1:Spt:47409.0,38.0')] ).
cnf(47457,plain,
in(skc12,relation_dom(skc11)),
inference(mrr,[status(thm)],[42,47212]),
[iquote('0:MRR:42.1,47212.0')] ).
cnf(52039,plain,
( ~ in(skc12,skc13)
| ~ in(skc12,relation_dom(skc11)) ),
inference(res,[status(thm),theory(equality)],[16539,47443]),
[iquote('1:Res:16539.2,47443.0')] ).
cnf(52043,plain,
$false,
inference(mrr,[status(thm)],[52039,47444,47457]),
[iquote('1:MRR:52039.0,52039.1,47444.0,47457.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU224+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 19 07:59:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 244.89/245.13
% 244.89/245.13 SPASS V 3.9
% 244.89/245.13 SPASS beiseite: Proof found.
% 244.89/245.13 % SZS status Theorem
% 244.89/245.13 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 244.89/245.13 SPASS derived 37221 clauses, backtracked 1391 clauses, performed 10 splits and kept 13988 clauses.
% 244.89/245.13 SPASS allocated 147617 KBytes.
% 244.89/245.13 SPASS spent 0:3:53.66 on the problem.
% 244.89/245.13 0:00:00.04 for the input.
% 244.89/245.13 0:00:00.04 for the FLOTTER CNF translation.
% 244.89/245.13 0:00:00.79 for inferences.
% 244.89/245.13 0:00:01.82 for the backtracking.
% 244.89/245.13 0:3:50.38 for the reduction.
% 244.89/245.13
% 244.89/245.13
% 244.89/245.13 Here is a proof with depth 5, length 39 :
% 244.89/245.13 % SZS output start Refutation
% See solution above
% 244.89/245.13 Formulae used in the proof : l82_funct_1 dt_k7_relat_1 fc4_funct_1 d3_xboole_0 antisymmetry_r2_hidden t68_funct_1
% 244.89/245.13
%------------------------------------------------------------------------------