TSTP Solution File: SEU190+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU190+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 14:34:51 EDT 2022
% Result : Theorem 107.63s 107.83s
% Output : Refutation 107.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 43 ( 5 unt; 15 nHn; 43 RR)
% Number of literals : 139 ( 0 equ; 78 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
relation(identity_relation(u)),
file('SEU190+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ equal(relation_rng(identity_relation(skc7)),skc7)
| ~ equal(relation_dom(identity_relation(skc6)),skc6) ),
file('SEU190+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ in(skf14(u,v),v)
| ~ in(ordered_pair(skf14(u,v),w),u) ),
file('SEU190+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ in(skf18(u,v),v)
| ~ in(ordered_pair(w,skf18(u,v)),u) ),
file('SEU190+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ relation(u)
| ~ equal(u,identity_relation(v))
| ~ in(ordered_pair(w,x),u)
| in(w,v) ),
file('SEU190+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ relation(u)
| ~ equal(u,identity_relation(v))
| ~ in(ordered_pair(w,x),u)
| equal(w,x) ),
file('SEU190+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ relation(u)
| ~ equal(v,relation_rng(u))
| ~ in(ordered_pair(w,x),u)
| in(x,v) ),
file('SEU190+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ relation(u)
| ~ in(v,w)
| ~ equal(w,relation_rng(u))
| in(ordered_pair(skf16(u,v),v),u) ),
file('SEU190+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ relation(u)
| equal(v,relation_rng(u))
| in(skf18(u,v),v)
| in(ordered_pair(skf19(v,u),skf18(u,v)),u) ),
file('SEU190+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ relation(u)
| equal(v,relation_dom(u))
| in(skf14(u,v),v)
| in(ordered_pair(skf14(u,v),skf15(v,u)),u) ),
file('SEU190+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ relation(u)
| ~ equal(v,w)
| ~ in(v,x)
| ~ equal(u,identity_relation(x))
| in(ordered_pair(v,w),u) ),
file('SEU190+1.p',unknown),
[] ).
cnf(226,plain,
( ~ relation(u)
| ~ in(v,relation_rng(u))
| in(ordered_pair(skf16(u,v),v),u) ),
inference(eqr,[status(thm),theory(equality)],[40]),
[iquote('0:EqR:40.2')] ).
cnf(249,plain,
( ~ relation(identity_relation(u))
| ~ equal(v,w)
| ~ in(v,u)
| in(ordered_pair(v,w),identity_relation(u)) ),
inference(eqr,[status(thm),theory(equality)],[44]),
[iquote('0:EqR:44.3')] ).
cnf(250,plain,
( ~ equal(u,v)
| ~ in(u,w)
| in(ordered_pair(u,v),identity_relation(w)) ),
inference(ssi,[status(thm)],[249,8]),
[iquote('0:SSi:249.0,8.0')] ).
cnf(284,plain,
( ~ relation(u)
| ~ relation(u)
| ~ equal(u,identity_relation(v))
| equal(w,relation_dom(u))
| in(skf14(u,w),w)
| in(skf14(u,w),v) ),
inference(res,[status(thm),theory(equality)],[42,35]),
[iquote('0:Res:42.3,35.2')] ).
cnf(294,plain,
( ~ relation(u)
| ~ equal(u,identity_relation(v))
| equal(w,relation_dom(u))
| in(skf14(u,w),w)
| in(skf14(u,w),v) ),
inference(obv,[status(thm),theory(equality)],[284]),
[iquote('0:Obv:284.0')] ).
cnf(310,plain,
( ~ relation(u)
| ~ relation(u)
| ~ equal(u,identity_relation(v))
| equal(w,relation_rng(u))
| in(skf18(u,w),w)
| in(skf19(w,u),v) ),
inference(res,[status(thm),theory(equality)],[41,35]),
[iquote('0:Res:41.3,35.2')] ).
cnf(313,plain,
( ~ relation(u)
| ~ relation(u)
| ~ equal(u,identity_relation(v))
| equal(w,relation_rng(u))
| in(skf18(u,w),w)
| equal(skf19(w,u),skf18(u,w)) ),
inference(res,[status(thm),theory(equality)],[41,36]),
[iquote('0:Res:41.3,36.2')] ).
cnf(320,plain,
( ~ relation(u)
| ~ equal(u,identity_relation(v))
| equal(w,relation_rng(u))
| in(skf18(u,w),w)
| in(skf19(w,u),v) ),
inference(obv,[status(thm),theory(equality)],[310]),
[iquote('0:Obv:310.0')] ).
cnf(321,plain,
( ~ relation(u)
| ~ equal(u,identity_relation(v))
| equal(w,relation_rng(u))
| in(skf18(u,w),w)
| equal(skf19(w,u),skf18(u,w)) ),
inference(obv,[status(thm),theory(equality)],[313]),
[iquote('0:Obv:313.0')] ).
cnf(322,plain,
( ~ relation(u)
| ~ equal(u,identity_relation(v))
| equal(w,relation_rng(u))
| in(skf18(u,w),w)
| in(skf18(u,w),v) ),
inference(rew,[status(thm),theory(equality)],[321,320]),
[iquote('0:Rew:321.4,320.4')] ).
cnf(584,plain,
( ~ equal(skf14(identity_relation(u),v),w)
| ~ in(skf14(identity_relation(u),v),u)
| ~ in(skf14(identity_relation(u),v),v) ),
inference(res,[status(thm),theory(equality)],[250,33]),
[iquote('0:Res:250.2,33.1')] ).
cnf(588,plain,
( ~ relation(identity_relation(u))
| ~ equal(v,w)
| ~ in(v,u)
| ~ equal(x,relation_rng(identity_relation(u)))
| in(w,x) ),
inference(res,[status(thm),theory(equality)],[250,38]),
[iquote('0:Res:250.2,38.2')] ).
cnf(595,plain,
( ~ equal(u,v)
| ~ in(u,w)
| ~ equal(x,relation_rng(identity_relation(w)))
| in(v,x) ),
inference(ssi,[status(thm)],[588,8]),
[iquote('0:SSi:588.0,8.0')] ).
cnf(600,plain,
( ~ in(skf14(identity_relation(u),v),u)
| ~ in(skf14(identity_relation(u),v),v) ),
inference(aed,[status(thm),theory(equality)],[584]),
[iquote('0:AED:584.0')] ).
cnf(657,plain,
( ~ relation(u)
| ~ in(skf18(u,v),relation_rng(u))
| ~ in(skf18(u,v),v) ),
inference(res,[status(thm),theory(equality)],[226,34]),
[iquote('0:Res:226.2,34.1')] ).
cnf(1592,plain,
( ~ relation(identity_relation(u))
| equal(v,relation_dom(identity_relation(u)))
| in(skf14(identity_relation(u),v),v)
| in(skf14(identity_relation(u),v),u) ),
inference(eqr,[status(thm),theory(equality)],[294]),
[iquote('0:EqR:294.1')] ).
cnf(1596,plain,
( equal(u,relation_dom(identity_relation(v)))
| in(skf14(identity_relation(v),u),u)
| in(skf14(identity_relation(v),u),v) ),
inference(ssi,[status(thm)],[1592,8]),
[iquote('0:SSi:1592.0,8.0')] ).
cnf(1890,plain,
( ~ relation(identity_relation(u))
| equal(v,relation_rng(identity_relation(u)))
| in(skf18(identity_relation(u),v),v)
| in(skf18(identity_relation(u),v),u) ),
inference(eqr,[status(thm),theory(equality)],[322]),
[iquote('0:EqR:322.1')] ).
cnf(1895,plain,
( equal(u,relation_rng(identity_relation(v)))
| in(skf18(identity_relation(v),u),u)
| in(skf18(identity_relation(v),u),v) ),
inference(ssi,[status(thm)],[1890,8]),
[iquote('0:SSi:1890.0,8.0')] ).
cnf(2549,plain,
( ~ equal(u,v)
| ~ in(u,w)
| in(v,relation_rng(identity_relation(w))) ),
inference(eqr,[status(thm),theory(equality)],[595]),
[iquote('0:EqR:595.2')] ).
cnf(2556,plain,
( ~ in(u,v)
| in(u,relation_rng(identity_relation(v))) ),
inference(eqr,[status(thm),theory(equality)],[2549]),
[iquote('0:EqR:2549.0')] ).
cnf(2587,plain,
( ~ relation(identity_relation(u))
| ~ in(skf18(identity_relation(u),v),u)
| ~ in(skf18(identity_relation(u),v),v) ),
inference(res,[status(thm),theory(equality)],[2556,657]),
[iquote('0:Res:2556.1,657.1')] ).
cnf(2589,plain,
( ~ in(skf18(identity_relation(u),v),u)
| ~ in(skf18(identity_relation(u),v),v) ),
inference(ssi,[status(thm)],[2587,8]),
[iquote('0:SSi:2587.0,8.0')] ).
cnf(2674,plain,
( equal(relation_dom(identity_relation(u)),u)
| in(skf14(identity_relation(u),u),u) ),
inference(fac,[status(thm)],[1596]),
[iquote('0:Fac:1596.1,1596.2')] ).
cnf(2766,plain,
( ~ in(skf14(identity_relation(u),u),u)
| equal(relation_dom(identity_relation(u)),u) ),
inference(res,[status(thm),theory(equality)],[2674,600]),
[iquote('0:Res:2674.1,600.0')] ).
cnf(2780,plain,
equal(relation_dom(identity_relation(u)),u),
inference(mrr,[status(thm)],[2766,2674]),
[iquote('0:MRR:2766.0,2674.1')] ).
cnf(2795,plain,
( ~ equal(relation_rng(identity_relation(skc7)),skc7)
| ~ equal(skc6,skc6) ),
inference(rew,[status(thm),theory(equality)],[2780,30]),
[iquote('0:Rew:2780.0,30.1')] ).
cnf(2839,plain,
~ equal(relation_rng(identity_relation(skc7)),skc7),
inference(obv,[status(thm),theory(equality)],[2795]),
[iquote('0:Obv:2795.1')] ).
cnf(3296,plain,
( equal(relation_rng(identity_relation(u)),u)
| in(skf18(identity_relation(u),u),u) ),
inference(fac,[status(thm)],[1895]),
[iquote('0:Fac:1895.1,1895.2')] ).
cnf(50922,plain,
( ~ in(skf18(identity_relation(u),u),u)
| equal(relation_rng(identity_relation(u)),u) ),
inference(res,[status(thm),theory(equality)],[3296,2589]),
[iquote('0:Res:3296.1,2589.0')] ).
cnf(50939,plain,
equal(relation_rng(identity_relation(u)),u),
inference(mrr,[status(thm)],[50922,3296]),
[iquote('0:MRR:50922.0,3296.1')] ).
cnf(50940,plain,
$false,
inference(unc,[status(thm)],[50939,2839]),
[iquote('0:UnC:50939.0,2839.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU190+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.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 Jun 20 05:23:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 107.63/107.83
% 107.63/107.83 SPASS V 3.9
% 107.63/107.83 SPASS beiseite: Proof found.
% 107.63/107.83 % SZS status Theorem
% 107.63/107.83 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 107.63/107.83 SPASS derived 41809 clauses, backtracked 0 clauses, performed 0 splits and kept 13024 clauses.
% 107.63/107.83 SPASS allocated 140969 KBytes.
% 107.63/107.83 SPASS spent 0:1:42.10 on the problem.
% 107.63/107.83 0:00:00.03 for the input.
% 107.63/107.83 0:00:00.06 for the FLOTTER CNF translation.
% 107.63/107.83 0:00:00.86 for inferences.
% 107.63/107.83 0:00:00.00 for the backtracking.
% 107.63/107.83 0:1:40.65 for the reduction.
% 107.63/107.83
% 107.63/107.83
% 107.63/107.83 Here is a proof with depth 6, length 43 :
% 107.63/107.83 % SZS output start Refutation
% See solution above
% 107.63/107.83 Formulae used in the proof : dt_k6_relat_1 t71_relat_1 d4_relat_1 antisymmetry_r2_hidden d5_relat_1 d10_relat_1
% 107.63/107.83
%------------------------------------------------------------------------------