TSTP Solution File: SEU271+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU271+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 14:35:43 EDT 2022
% Result : Theorem 0.41s 0.58s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 5 unt; 15 nHn; 32 RR)
% Number of literals : 117 ( 0 equ; 69 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(35,axiom,
relation(inclusion_relation(u)),
file('SEU271+1.p',unknown),
[] ).
cnf(39,axiom,
~ antisymmetric(inclusion_relation(skc10)),
file('SEU271+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ relation(u)
| ~ is_antisymmetric_in(u,relation_field(u))
| antisymmetric(u) ),
file('SEU271+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ subset(u,v)
| ~ subset(v,u)
| equal(v,u) ),
file('SEU271+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ relation(u)
| is_antisymmetric_in(u,v)
| in(skf8(v,w),v) ),
file('SEU271+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ relation(u)
| is_antisymmetric_in(u,v)
| in(skf7(v,w),v) ),
file('SEU271+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ relation(u)
| ~ equal(u,inclusion_relation(v))
| equal(relation_field(u),v) ),
file('SEU271+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ relation(u)
| ~ equal(skf8(v,u),skf7(v,u))
| is_antisymmetric_in(u,v) ),
file('SEU271+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ relation(u)
| is_antisymmetric_in(u,v)
| in(ordered_pair(skf8(v,u),skf7(v,u)),u) ),
file('SEU271+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ relation(u)
| is_antisymmetric_in(u,v)
| in(ordered_pair(skf7(v,u),skf8(v,u)),u) ),
file('SEU271+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ relation(u)
| ~ in(v,w)
| ~ in(x,w)
| ~ equal(u,inclusion_relation(w))
| ~ in(ordered_pair(x,v),u)
| subset(x,v) ),
file('SEU271+1.p',unknown),
[] ).
cnf(192,plain,
( ~ relation(inclusion_relation(u))
| equal(relation_field(inclusion_relation(u)),u) ),
inference(eqr,[status(thm),theory(equality)],[73]),
[iquote('0:EqR:73.1')] ).
cnf(193,plain,
equal(relation_field(inclusion_relation(u)),u),
inference(ssi,[status(thm)],[192,35]),
[iquote('0:SSi:192.0,35.0')] ).
cnf(196,plain,
( ~ relation(inclusion_relation(u))
| ~ is_antisymmetric_in(inclusion_relation(u),u)
| antisymmetric(inclusion_relation(u)) ),
inference(spl,[status(thm),theory(equality)],[193,66]),
[iquote('0:SpL:193.0,66.1')] ).
cnf(200,plain,
( ~ is_antisymmetric_in(inclusion_relation(u),u)
| antisymmetric(inclusion_relation(u)) ),
inference(ssi,[status(thm)],[196,35]),
[iquote('0:SSi:196.0,35.0')] ).
cnf(335,plain,
( ~ relation(u)
| ~ relation(u)
| ~ in(skf8(v,u),w)
| ~ in(skf7(v,u),w)
| ~ equal(u,inclusion_relation(w))
| is_antisymmetric_in(u,v)
| subset(skf7(v,u),skf8(v,u)) ),
inference(res,[status(thm),theory(equality)],[78,83]),
[iquote('0:Res:78.2,83.4')] ).
cnf(336,plain,
( ~ relation(u)
| ~ relation(u)
| ~ in(skf7(v,u),w)
| ~ in(skf8(v,u),w)
| ~ equal(u,inclusion_relation(w))
| is_antisymmetric_in(u,v)
| subset(skf8(v,u),skf7(v,u)) ),
inference(res,[status(thm),theory(equality)],[77,83]),
[iquote('0:Res:77.2,83.4')] ).
cnf(339,plain,
( ~ relation(u)
| ~ in(skf7(v,u),w)
| ~ in(skf8(v,u),w)
| ~ equal(u,inclusion_relation(w))
| is_antisymmetric_in(u,v)
| subset(skf8(v,u),skf7(v,u)) ),
inference(obv,[status(thm),theory(equality)],[336]),
[iquote('0:Obv:336.0')] ).
cnf(340,plain,
( ~ relation(u)
| ~ in(skf8(v,u),w)
| ~ in(skf7(v,u),w)
| ~ equal(u,inclusion_relation(w))
| is_antisymmetric_in(u,v)
| subset(skf7(v,u),skf8(v,u)) ),
inference(obv,[status(thm),theory(equality)],[335]),
[iquote('0:Obv:335.0')] ).
cnf(905,plain,
( ~ relation(u)
| ~ relation(v)
| ~ in(skf8(w,v),w)
| ~ equal(v,inclusion_relation(w))
| is_antisymmetric_in(u,w)
| is_antisymmetric_in(v,w)
| subset(skf8(w,v),skf7(w,v)) ),
inference(res,[status(thm),theory(equality)],[71,339]),
[iquote('0:Res:71.2,339.1')] ).
cnf(906,plain,
( ~ relation(u)
| ~ in(skf8(v,u),v)
| ~ equal(u,inclusion_relation(v))
| is_antisymmetric_in(u,v)
| subset(skf8(v,u),skf7(v,u)) ),
inference(con,[status(thm)],[905]),
[iquote('0:Con:905.0')] ).
cnf(907,plain,
( ~ relation(u)
| ~ equal(u,inclusion_relation(v))
| is_antisymmetric_in(u,v)
| subset(skf8(v,u),skf7(v,u)) ),
inference(mrr,[status(thm)],[906,70]),
[iquote('0:MRR:906.1,70.2')] ).
cnf(951,plain,
( ~ relation(u)
| ~ relation(v)
| ~ in(skf7(w,v),w)
| ~ equal(v,inclusion_relation(w))
| is_antisymmetric_in(u,w)
| is_antisymmetric_in(v,w)
| subset(skf7(w,v),skf8(w,v)) ),
inference(res,[status(thm),theory(equality)],[70,340]),
[iquote('0:Res:70.2,340.1')] ).
cnf(952,plain,
( ~ relation(u)
| ~ in(skf7(v,u),v)
| ~ equal(u,inclusion_relation(v))
| is_antisymmetric_in(u,v)
| subset(skf7(v,u),skf8(v,u)) ),
inference(con,[status(thm)],[951]),
[iquote('0:Con:951.0')] ).
cnf(953,plain,
( ~ relation(u)
| ~ equal(u,inclusion_relation(v))
| is_antisymmetric_in(u,v)
| subset(skf7(v,u),skf8(v,u)) ),
inference(mrr,[status(thm)],[952,71]),
[iquote('0:MRR:952.1,71.2')] ).
cnf(1314,plain,
( ~ relation(u)
| ~ equal(u,inclusion_relation(v))
| ~ subset(skf7(v,u),skf8(v,u))
| is_antisymmetric_in(u,v)
| equal(skf8(v,u),skf7(v,u)) ),
inference(res,[status(thm),theory(equality)],[907,69]),
[iquote('0:Res:907.3,69.0')] ).
cnf(1315,plain,
( ~ relation(u)
| ~ equal(u,inclusion_relation(v))
| ~ subset(skf7(v,u),skf8(v,u))
| is_antisymmetric_in(u,v) ),
inference(mrr,[status(thm)],[1314,76]),
[iquote('0:MRR:1314.4,76.1')] ).
cnf(1316,plain,
( ~ relation(u)
| ~ equal(u,inclusion_relation(v))
| is_antisymmetric_in(u,v) ),
inference(mrr,[status(thm)],[1315,953]),
[iquote('0:MRR:1315.2,953.3')] ).
cnf(1318,plain,
( ~ relation(inclusion_relation(u))
| ~ equal(inclusion_relation(u),inclusion_relation(u))
| antisymmetric(inclusion_relation(u)) ),
inference(res,[status(thm),theory(equality)],[1316,200]),
[iquote('0:Res:1316.2,200.0')] ).
cnf(1319,plain,
( ~ relation(inclusion_relation(u))
| antisymmetric(inclusion_relation(u)) ),
inference(obv,[status(thm),theory(equality)],[1318]),
[iquote('0:Obv:1318.1')] ).
cnf(1320,plain,
antisymmetric(inclusion_relation(u)),
inference(ssi,[status(thm)],[1319,35]),
[iquote('0:SSi:1319.0,35.0')] ).
cnf(1321,plain,
$false,
inference(unc,[status(thm)],[1320,39]),
[iquote('0:UnC:1320.0,39.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU271+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n008.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 14:28:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/0.58
% 0.41/0.58 SPASS V 3.9
% 0.41/0.58 SPASS beiseite: Proof found.
% 0.41/0.58 % SZS status Theorem
% 0.41/0.58 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.58 SPASS derived 905 clauses, backtracked 0 clauses, performed 0 splits and kept 456 clauses.
% 0.41/0.58 SPASS allocated 98941 KBytes.
% 0.41/0.58 SPASS spent 0:00:00.23 on the problem.
% 0.41/0.58 0:00:00.04 for the input.
% 0.41/0.58 0:00:00.04 for the FLOTTER CNF translation.
% 0.41/0.58 0:00:00.02 for inferences.
% 0.41/0.58 0:00:00.00 for the backtracking.
% 0.41/0.58 0:00:00.11 for the reduction.
% 0.41/0.58
% 0.41/0.58
% 0.41/0.58 Here is a proof with depth 4, length 32 :
% 0.41/0.58 % SZS output start Refutation
% See solution above
% 0.41/0.58 Formulae used in the proof : dt_k1_wellord2 t5_wellord2 d12_relat_2 d10_xboole_0 d4_relat_2 d1_wellord2 reflexivity_r1_tarski
% 0.41/0.58
%------------------------------------------------------------------------------