TSTP Solution File: SEU012+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU012+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 14:33:33 EDT 2022
% Result : Theorem 0.48s 0.64s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of clauses : 102 ( 37 unt; 18 nHn; 102 RR)
% Number of literals : 236 ( 0 equ; 125 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc9),
file('SEU012+1.p',unknown),
[] ).
cnf(2,axiom,
relation(skc8),
file('SEU012+1.p',unknown),
[] ).
cnf(3,axiom,
function(skc8),
file('SEU012+1.p',unknown),
[] ).
cnf(4,axiom,
function(skc9),
file('SEU012+1.p',unknown),
[] ).
cnf(9,axiom,
empty(empty_set),
file('SEU012+1.p',unknown),
[] ).
cnf(23,axiom,
empty(skf13(u)),
file('SEU012+1.p',unknown),
[] ).
cnf(28,axiom,
equal(relation_dom(skc9),relation_rng(skc8)),
file('SEU012+1.p',unknown),
[] ).
cnf(29,axiom,
equal(relation_composition(skc8,skc9),skc8),
file('SEU012+1.p',unknown),
[] ).
cnf(33,axiom,
element(skf13(u),powerset(u)),
file('SEU012+1.p',unknown),
[] ).
cnf(34,axiom,
~ equal(identity_relation(relation_dom(skc9)),skc9),
file('SEU012+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ empty(u)
| empty(relation_dom(u)) ),
file('SEU012+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ empty(u)
| empty(relation_rng(u)) ),
file('SEU012+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ empty(u)
| equal(u,empty_set) ),
file('SEU012+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ empty(u)
| ~ in(v,u) ),
file('SEU012+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ relation(u)
| ~ empty(relation_dom(u))
| empty(u) ),
file('SEU012+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ relation(u)
| ~ empty(relation_rng(u))
| empty(u) ),
file('SEU012+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ relation(u)
| ~ empty(v)
| empty(relation_composition(u,v)) ),
file('SEU012+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ empty(u)
| ~ in(v,w)
| ~ element(w,powerset(u)) ),
file('SEU012+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ relation(u)
| ~ function(u)
| ~ equal(relation_dom(u),v)
| equal(u,identity_relation(v))
| in(skf14(v,w),v) ),
file('SEU012+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ function(u)
| ~ relation(u)
| equal(v,relation_rng(u))
| in(skf9(u,v),v)
| in(skf10(u,w),relation_dom(u)) ),
file('SEU012+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ function(u)
| ~ relation(u)
| ~ in(v,w)
| ~ equal(w,relation_rng(u))
| in(skf7(u,x),relation_dom(u)) ),
file('SEU012+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ function(u)
| ~ relation(u)
| ~ in(v,w)
| ~ equal(w,relation_rng(u))
| equal(apply(u,skf7(u,v)),v) ),
file('SEU012+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ relation(u)
| ~ function(u)
| ~ equal(relation_dom(u),v)
| ~ equal(apply(u,skf14(v,u)),skf14(v,u))
| equal(u,identity_relation(v)) ),
file('SEU012+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ relation(u)
| ~ function(u)
| ~ relation(v)
| ~ function(v)
| ~ in(w,relation_dom(u))
| equal(apply(relation_composition(u,v),w),apply(v,apply(u,w))) ),
file('SEU012+1.p',unknown),
[] ).
cnf(70,plain,
~ equal(identity_relation(relation_rng(skc8)),skc9),
inference(rew,[status(thm),theory(equality)],[28,34]),
[iquote('0:Rew:28.0,34.0')] ).
cnf(77,plain,
( ~ relation(skc9)
| in(skf10(skc9,u),relation_dom(skc9))
| in(skf9(skc9,v),v)
| equal(v,relation_rng(skc9)) ),
inference(res,[status(thm),theory(equality)],[4,63]),
[iquote('0:Res:4.0,63.1')] ).
cnf(79,plain,
( ~ relation(skc9)
| ~ equal(relation_dom(skc9),u)
| in(skf14(u,v),u)
| equal(identity_relation(u),skc9) ),
inference(res,[status(thm),theory(equality)],[4,61]),
[iquote('0:Res:4.0,61.0')] ).
cnf(89,plain,
( ~ relation(skc8)
| ~ in(u,v)
| ~ equal(v,relation_rng(skc8))
| in(skf7(skc8,w),relation_dom(skc8)) ),
inference(res,[status(thm),theory(equality)],[3,64]),
[iquote('0:Res:3.0,64.1')] ).
cnf(90,plain,
( ~ relation(skc8)
| in(skf10(skc8,u),relation_dom(skc8))
| in(skf9(skc8,v),v)
| equal(v,relation_rng(skc8)) ),
inference(res,[status(thm),theory(equality)],[3,63]),
[iquote('0:Res:3.0,63.1')] ).
cnf(110,plain,
( ~ empty(relation_rng(skc8))
| empty(skc8) ),
inference(res,[status(thm),theory(equality)],[2,47]),
[iquote('0:Res:2.0,47.0')] ).
cnf(114,plain,
( ~ empty(u)
| empty(relation_composition(skc8,u)) ),
inference(res,[status(thm),theory(equality)],[2,51]),
[iquote('0:Res:2.0,51.1')] ).
cnf(130,plain,
( ~ empty(relation_dom(skc9))
| empty(skc9) ),
inference(res,[status(thm),theory(equality)],[1,46]),
[iquote('0:Res:1.0,46.0')] ).
cnf(131,plain,
( ~ empty(relation_rng(skc9))
| empty(skc9) ),
inference(res,[status(thm),theory(equality)],[1,47]),
[iquote('0:Res:1.0,47.0')] ).
cnf(139,plain,
( ~ empty(relation_rng(skc8))
| empty(skc9) ),
inference(rew,[status(thm),theory(equality)],[28,130]),
[iquote('0:Rew:28.0,130.0')] ).
cnf(149,plain,
( ~ relation(skc9)
| ~ equal(relation_rng(skc8),u)
| in(skf14(u,v),u)
| equal(identity_relation(u),skc9) ),
inference(rew,[status(thm),theory(equality)],[28,79]),
[iquote('0:Rew:28.0,79.1')] ).
cnf(150,plain,
( ~ equal(relation_rng(skc8),u)
| equal(identity_relation(u),skc9)
| in(skf14(u,v),u) ),
inference(mrr,[status(thm)],[149,1]),
[iquote('0:MRR:149.0,1.0')] ).
cnf(156,plain,
( ~ relation(skc9)
| in(skf10(skc9,u),relation_rng(skc8))
| in(skf9(skc9,v),v)
| equal(v,relation_rng(skc9)) ),
inference(rew,[status(thm),theory(equality)],[28,77]),
[iquote('0:Rew:28.0,77.1')] ).
cnf(157,plain,
( equal(u,relation_rng(skc9))
| in(skf9(skc9,u),u)
| in(skf10(skc9,v),relation_rng(skc8)) ),
inference(mrr,[status(thm)],[156,1]),
[iquote('0:MRR:156.0,1.0')] ).
cnf(158,plain,
( ~ in(u,v)
| ~ equal(v,relation_rng(skc8))
| in(skf7(skc8,w),relation_dom(skc8)) ),
inference(mrr,[status(thm)],[89,2]),
[iquote('0:MRR:89.0,2.0')] ).
cnf(159,plain,
( equal(u,relation_rng(skc8))
| in(skf9(skc8,u),u)
| in(skf10(skc8,v),relation_dom(skc8)) ),
inference(mrr,[status(thm)],[90,2]),
[iquote('0:MRR:90.0,2.0')] ).
cnf(180,plain,
( equal(u,relation_rng(skc8))
| in(skf9(skc8,u),u) ),
inference(spt,[spt(split,[position(s1)])],[159]),
[iquote('1:Spt:159.0,159.1')] ).
cnf(184,plain,
equal(skf13(u),empty_set),
inference(ems,[status(thm)],[40,23]),
[iquote('0:EmS:40.0,23.0')] ).
cnf(192,plain,
element(empty_set,powerset(u)),
inference(rew,[status(thm),theory(equality)],[184,33]),
[iquote('0:Rew:184.0,33.0')] ).
cnf(196,plain,
( ~ empty(u)
| equal(relation_rng(u),empty_set) ),
inference(ems,[status(thm)],[40,37]),
[iquote('0:EmS:40.0,37.1')] ).
cnf(198,plain,
( ~ empty(skc8)
| empty(skc9) ),
inference(res,[status(thm),theory(equality)],[37,139]),
[iquote('0:Res:37.1,139.0')] ).
cnf(202,plain,
( ~ empty(u)
| equal(relation_dom(u),empty_set) ),
inference(ems,[status(thm)],[40,35]),
[iquote('0:EmS:40.0,35.1')] ).
cnf(207,plain,
( ~ empty(u)
| equal(u,relation_rng(skc8)) ),
inference(res,[status(thm),theory(equality)],[180,42]),
[iquote('1:Res:180.1,42.1')] ).
cnf(213,plain,
( ~ empty(skc9)
| empty(skc8) ),
inference(spr,[status(thm),theory(equality)],[29,114]),
[iquote('0:SpR:29.0,114.1')] ).
cnf(226,plain,
( ~ empty(skc8)
| ~ equal(identity_relation(empty_set),skc9) ),
inference(spl,[status(thm),theory(equality)],[196,70]),
[iquote('0:SpL:196.1,70.0')] ).
cnf(230,plain,
( ~ empty(skc9)
| equal(relation_rng(skc8),empty_set) ),
inference(spr,[status(thm),theory(equality)],[202,28]),
[iquote('0:SpR:202.1,28.0')] ).
cnf(273,plain,
( ~ empty(u)
| ~ empty(u)
| empty(skc8) ),
inference(spl,[status(thm),theory(equality)],[207,110]),
[iquote('1:SpL:207.1,110.0')] ).
cnf(275,plain,
( ~ empty(u)
| empty(skc8) ),
inference(obv,[status(thm),theory(equality)],[273]),
[iquote('1:Obv:273.0')] ).
cnf(283,plain,
empty(skc8),
inference(res,[status(thm),theory(equality)],[9,275]),
[iquote('1:Res:9.0,275.0')] ).
cnf(284,plain,
empty(skc9),
inference(mrr,[status(thm)],[198,283]),
[iquote('1:MRR:198.0,283.0')] ).
cnf(285,plain,
~ equal(identity_relation(empty_set),skc9),
inference(mrr,[status(thm)],[226,283]),
[iquote('1:MRR:226.0,283.0')] ).
cnf(286,plain,
equal(relation_rng(skc8),empty_set),
inference(mrr,[status(thm)],[230,284]),
[iquote('1:MRR:230.0,284.0')] ).
cnf(289,plain,
equal(relation_dom(skc9),empty_set),
inference(rew,[status(thm),theory(equality)],[286,28]),
[iquote('1:Rew:286.0,28.0')] ).
cnf(292,plain,
( ~ equal(empty_set,u)
| equal(identity_relation(u),skc9)
| in(skf14(u,v),u) ),
inference(rew,[status(thm),theory(equality)],[286,150]),
[iquote('1:Rew:286.0,150.0')] ).
cnf(296,plain,
( ~ in(u,v)
| ~ equal(v,empty_set)
| in(skf7(skc8,w),relation_dom(skc8)) ),
inference(rew,[status(thm),theory(equality)],[286,158]),
[iquote('1:Rew:286.0,158.1')] ).
cnf(325,plain,
equal(skc8,empty_set),
inference(ems,[status(thm)],[40,283]),
[iquote('1:EmS:40.0,283.0')] ).
cnf(346,plain,
( ~ in(u,v)
| ~ equal(v,empty_set)
| in(skf7(empty_set,w),relation_dom(empty_set)) ),
inference(rew,[status(thm),theory(equality)],[325,296]),
[iquote('1:Rew:325.0,296.2')] ).
cnf(354,plain,
equal(skc9,empty_set),
inference(ems,[status(thm)],[40,284]),
[iquote('1:EmS:40.0,284.0')] ).
cnf(372,plain,
( ~ equal(empty_set,u)
| equal(identity_relation(u),empty_set)
| in(skf14(u,v),u) ),
inference(rew,[status(thm),theory(equality)],[354,292]),
[iquote('1:Rew:354.0,292.1')] ).
cnf(377,plain,
equal(relation_dom(empty_set),empty_set),
inference(rew,[status(thm),theory(equality)],[354,289]),
[iquote('1:Rew:354.0,289.0')] ).
cnf(378,plain,
~ equal(identity_relation(empty_set),empty_set),
inference(rew,[status(thm),theory(equality)],[354,285]),
[iquote('1:Rew:354.0,285.0')] ).
cnf(385,plain,
( ~ in(u,v)
| ~ equal(v,empty_set)
| in(skf7(empty_set,w),empty_set) ),
inference(rew,[status(thm),theory(equality)],[377,346]),
[iquote('1:Rew:377.0,346.2')] ).
cnf(483,plain,
( ~ empty(u)
| ~ in(v,empty_set) ),
inference(res,[status(thm),theory(equality)],[192,56]),
[iquote('0:Res:192.0,56.2')] ).
cnf(486,plain,
~ in(u,empty_set),
inference(ems,[status(thm)],[483,9]),
[iquote('0:EmS:483.0,9.0')] ).
cnf(487,plain,
( ~ in(u,v)
| ~ equal(v,empty_set) ),
inference(mrr,[status(thm)],[385,486]),
[iquote('1:MRR:385.2,486.0')] ).
cnf(488,plain,
( ~ equal(empty_set,u)
| equal(identity_relation(u),empty_set) ),
inference(mrr,[status(thm)],[372,487]),
[iquote('1:MRR:372.2,487.0')] ).
cnf(496,plain,
( ~ equal(empty_set,empty_set)
| ~ equal(empty_set,empty_set) ),
inference(spl,[status(thm),theory(equality)],[488,378]),
[iquote('1:SpL:488.1,378.0')] ).
cnf(499,plain,
$false,
inference(obv,[status(thm),theory(equality)],[496]),
[iquote('1:Obv:496.1')] ).
cnf(501,plain,
in(skf10(skc8,u),relation_dom(skc8)),
inference(spt,[spt(split,[position(s2)])],[159]),
[iquote('1:Spt:499.0,159.2')] ).
cnf(505,plain,
( ~ empty(skc8)
| in(skf10(skc8,u),empty_set) ),
inference(spr,[status(thm),theory(equality)],[202,501]),
[iquote('1:SpR:202.1,501.0')] ).
cnf(508,plain,
~ empty(skc8),
inference(mrr,[status(thm)],[505,486]),
[iquote('1:MRR:505.1,486.0')] ).
cnf(509,plain,
~ empty(skc9),
inference(mrr,[status(thm)],[213,508]),
[iquote('1:MRR:213.1,508.0')] ).
cnf(513,plain,
~ empty(relation_rng(skc9)),
inference(mrr,[status(thm)],[131,509]),
[iquote('1:MRR:131.1,509.0')] ).
cnf(514,plain,
( equal(u,relation_rng(skc9))
| in(skf9(skc9,u),u) ),
inference(spt,[spt(split,[position(s2s1)])],[157]),
[iquote('2:Spt:157.0,157.1')] ).
cnf(518,plain,
equal(relation_rng(skc9),empty_set),
inference(res,[status(thm),theory(equality)],[514,486]),
[iquote('2:Res:514.1,486.0')] ).
cnf(523,plain,
~ empty(empty_set),
inference(rew,[status(thm),theory(equality)],[518,513]),
[iquote('2:Rew:518.0,513.0')] ).
cnf(524,plain,
$false,
inference(mrr,[status(thm)],[523,9]),
[iquote('2:MRR:523.0,9.0')] ).
cnf(528,plain,
in(skf10(skc9,u),relation_rng(skc8)),
inference(spt,[spt(split,[position(s2s2)])],[157]),
[iquote('2:Spt:524.0,157.2')] ).
cnf(615,plain,
( ~ relation(u)
| ~ function(u)
| equal(identity_relation(relation_dom(u)),u)
| in(skf14(relation_dom(u),v),relation_dom(u)) ),
inference(eqr,[status(thm),theory(equality)],[61]),
[iquote('0:EqR:61.2')] ).
cnf(724,plain,
( ~ function(u)
| ~ relation(u)
| ~ in(v,relation_rng(u))
| equal(apply(u,skf7(u,v)),v) ),
inference(eqr,[status(thm),theory(equality)],[65]),
[iquote('0:EqR:65.3')] ).
cnf(818,plain,
( ~ relation(skc8)
| ~ function(skc8)
| ~ relation(skc9)
| ~ function(skc9)
| ~ in(u,relation_dom(skc8))
| equal(apply(skc9,apply(skc8,u)),apply(skc8,u)) ),
inference(spr,[status(thm),theory(equality)],[29,69]),
[iquote('0:SpR:29.0,69.5')] ).
cnf(825,plain,
( ~ in(u,relation_dom(skc8))
| equal(apply(skc9,apply(skc8,u)),apply(skc8,u)) ),
inference(ssi,[status(thm)],[818,1,4,2,3]),
[iquote('0:SSi:818.3,818.2,818.1,818.0,1.0,4.0,1.0,4.0,2.0,3.0,2.0,3.0')] ).
cnf(1302,plain,
( ~ in(u,relation_rng(skc8))
| in(skf7(skc8,v),relation_dom(skc8)) ),
inference(eqr,[status(thm),theory(equality)],[158]),
[iquote('0:EqR:158.1')] ).
cnf(1330,plain,
in(skf7(skc8,u),relation_dom(skc8)),
inference(res,[status(thm),theory(equality)],[528,1302]),
[iquote('2:Res:528.0,1302.0')] ).
cnf(1548,plain,
( ~ relation(skc9)
| ~ function(skc9)
| equal(identity_relation(relation_dom(skc9)),skc9)
| in(skf14(relation_rng(skc8),u),relation_rng(skc8)) ),
inference(spr,[status(thm),theory(equality)],[28,615]),
[iquote('0:SpR:28.0,615.3')] ).
cnf(1563,plain,
( ~ relation(skc9)
| ~ function(skc9)
| equal(identity_relation(relation_rng(skc8)),skc9)
| in(skf14(relation_rng(skc8),u),relation_rng(skc8)) ),
inference(rew,[status(thm),theory(equality)],[28,1548]),
[iquote('0:Rew:28.0,1548.2')] ).
cnf(1564,plain,
( equal(identity_relation(relation_rng(skc8)),skc9)
| in(skf14(relation_rng(skc8),u),relation_rng(skc8)) ),
inference(ssi,[status(thm)],[1563,1,4]),
[iquote('0:SSi:1563.1,1563.0,1.0,4.0,1.0,4.0')] ).
cnf(1565,plain,
in(skf14(relation_rng(skc8),u),relation_rng(skc8)),
inference(mrr,[status(thm)],[1564,70]),
[iquote('0:MRR:1564.0,70.0')] ).
cnf(1604,plain,
( ~ function(skc8)
| ~ relation(skc8)
| ~ in(u,relation_rng(skc8))
| ~ in(skf7(skc8,u),relation_dom(skc8))
| equal(apply(skc9,u),u) ),
inference(spr,[status(thm),theory(equality)],[724,825]),
[iquote('0:SpR:724.3,825.1')] ).
cnf(1607,plain,
( ~ in(u,relation_rng(skc8))
| ~ in(skf7(skc8,u),relation_dom(skc8))
| equal(apply(skc9,u),u) ),
inference(ssi,[status(thm)],[1604,2,3]),
[iquote('0:SSi:1604.1,1604.0,2.0,3.0,2.0,3.0')] ).
cnf(1608,plain,
( ~ in(u,relation_rng(skc8))
| equal(apply(skc9,u),u) ),
inference(mrr,[status(thm)],[1607,1330]),
[iquote('2:MRR:1607.1,1330.0')] ).
cnf(1634,plain,
equal(apply(skc9,skf14(relation_rng(skc8),u)),skf14(relation_rng(skc8),u)),
inference(res,[status(thm),theory(equality)],[1565,1608]),
[iquote('2:Res:1565.0,1608.0')] ).
cnf(1868,plain,
( ~ relation(skc9)
| ~ function(skc9)
| ~ equal(relation_dom(skc9),relation_rng(skc8))
| ~ equal(skf14(relation_rng(skc8),skc9),skf14(relation_rng(skc8),skc9))
| equal(identity_relation(relation_rng(skc8)),skc9) ),
inference(spl,[status(thm),theory(equality)],[1634,67]),
[iquote('2:SpL:1634.0,67.3')] ).
cnf(1874,plain,
( ~ relation(skc9)
| ~ function(skc9)
| ~ equal(relation_dom(skc9),relation_rng(skc8))
| equal(identity_relation(relation_rng(skc8)),skc9) ),
inference(obv,[status(thm),theory(equality)],[1868]),
[iquote('2:Obv:1868.3')] ).
cnf(1875,plain,
( ~ relation(skc9)
| ~ function(skc9)
| ~ equal(relation_rng(skc8),relation_rng(skc8))
| equal(identity_relation(relation_rng(skc8)),skc9) ),
inference(rew,[status(thm),theory(equality)],[28,1874]),
[iquote('2:Rew:28.0,1874.2')] ).
cnf(1876,plain,
( ~ relation(skc9)
| ~ function(skc9)
| equal(identity_relation(relation_rng(skc8)),skc9) ),
inference(obv,[status(thm),theory(equality)],[1875]),
[iquote('2:Obv:1875.2')] ).
cnf(1877,plain,
equal(identity_relation(relation_rng(skc8)),skc9),
inference(ssi,[status(thm)],[1876,1,4]),
[iquote('2:SSi:1876.1,1876.0,1.0,4.0,1.0,4.0')] ).
cnf(1878,plain,
$false,
inference(mrr,[status(thm)],[1877,70]),
[iquote('2:MRR:1877.0,70.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU012+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n029.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 : Sun Jun 19 20:07:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.48/0.64
% 0.48/0.64 SPASS V 3.9
% 0.48/0.64 SPASS beiseite: Proof found.
% 0.48/0.64 % SZS status Theorem
% 0.48/0.64 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.64 SPASS derived 1466 clauses, backtracked 58 clauses, performed 3 splits and kept 817 clauses.
% 0.48/0.64 SPASS allocated 99265 KBytes.
% 0.48/0.64 SPASS spent 0:00:00.30 on the problem.
% 0.48/0.64 0:00:00.04 for the input.
% 0.48/0.64 0:00:00.06 for the FLOTTER CNF translation.
% 0.48/0.64 0:00:00.02 for inferences.
% 0.48/0.64 0:00:00.00 for the backtracking.
% 0.48/0.64 0:00:00.14 for the reduction.
% 0.48/0.64
% 0.48/0.64
% 0.48/0.64 Here is a proof with depth 6, length 102 :
% 0.48/0.64 % SZS output start Refutation
% See solution above
% 0.48/0.65 Formulae used in the proof : t44_funct_1 fc4_relat_1 rc2_subset_1 fc7_relat_1 fc8_relat_1 t6_boole t7_boole fc5_relat_1 fc6_relat_1 fc10_relat_1 t5_subset t34_funct_1 d5_funct_1 antisymmetry_r2_hidden t23_funct_1
% 0.48/0.65
%------------------------------------------------------------------------------