TSTP Solution File: SEU168+3 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU168+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 14:34:39 EDT 2022
% Result : Theorem 0.23s 0.52s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 33 ( 11 unt; 6 nHn; 33 RR)
% Number of literals : 69 ( 0 equ; 38 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
subset(skf8(u),u),
file('SEU168+3.p',unknown),
[] ).
cnf(5,axiom,
in(u,skf14(u)),
file('SEU168+3.p',unknown),
[] ).
cnf(6,axiom,
subset(skf9(u),skf10(u)),
file('SEU168+3.p',unknown),
[] ).
cnf(7,axiom,
~ in(skf9(u),u),
file('SEU168+3.p',unknown),
[] ).
cnf(8,axiom,
( skP0(u)
| in(skf10(u),u) ),
file('SEU168+3.p',unknown),
[] ).
cnf(9,axiom,
( skP1(u)
| in(skf11(u),u) ),
file('SEU168+3.p',unknown),
[] ).
cnf(10,axiom,
~ in(skf13(u,v),u),
file('SEU168+3.p',unknown),
[] ).
cnf(11,axiom,
( ~ in(powerset(skf11(u)),u)
| skP1(u) ),
file('SEU168+3.p',unknown),
[] ).
cnf(13,axiom,
( subset(u,v)
| in(skf13(v,u),u) ),
file('SEU168+3.p',unknown),
[] ).
cnf(14,axiom,
( ~ subset(u,v)
| in(u,skf16(v,w)) ),
file('SEU168+3.p',unknown),
[] ).
cnf(17,axiom,
( ~ in(u,skf14(v))
| in(skf16(u,v),skf14(v)) ),
file('SEU168+3.p',unknown),
[] ).
cnf(18,axiom,
( ~ in(u,v)
| ~ equal(v,powerset(w))
| subset(u,w) ),
file('SEU168+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ subset(u,v)
| ~ in(v,skf14(w))
| in(u,skf14(w)) ),
file('SEU168+3.p',unknown),
[] ).
cnf(21,axiom,
( ~ subset(u,skf14(v))
| in(u,skf14(v))
| are_equipotent(u,skf14(v)) ),
file('SEU168+3.p',unknown),
[] ).
cnf(22,axiom,
( ~ skP1(u)
| ~ skP0(u)
| ~ in(skc3,u)
| ~ are_equipotent(skf8(u),u) ),
file('SEU168+3.p',unknown),
[] ).
cnf(23,axiom,
( ~ skP1(u)
| ~ skP0(u)
| ~ in(skc3,u)
| ~ in(skf8(u),u) ),
file('SEU168+3.p',unknown),
[] ).
cnf(35,plain,
( ~ in(skf10(u),skf14(v))
| in(skf9(u),skf14(v)) ),
inference(res,[status(thm),theory(equality)],[6,20]),
[iquote('0:Res:6.0,20.1')] ).
cnf(55,plain,
~ subset(skf13(skf16(u,v),w),u),
inference(res,[status(thm),theory(equality)],[14,10]),
[iquote('0:Res:14.1,10.0')] ).
cnf(97,plain,
( ~ in(u,powerset(v))
| subset(u,v) ),
inference(eqr,[status(thm),theory(equality)],[18]),
[iquote('0:EqR:18.1')] ).
cnf(102,plain,
( subset(powerset(u),v)
| subset(skf13(v,powerset(u)),u) ),
inference(res,[status(thm),theory(equality)],[13,97]),
[iquote('0:Res:13.1,97.0')] ).
cnf(134,plain,
( ~ in(u,skf14(v))
| ~ subset(w,skf16(u,v))
| in(w,skf14(v)) ),
inference(res,[status(thm),theory(equality)],[17,20]),
[iquote('0:Res:17.1,20.1')] ).
cnf(145,plain,
( ~ skP1(skf14(u))
| ~ skP0(skf14(u))
| ~ subset(skf8(skf14(u)),skf14(u))
| ~ in(skc3,skf14(u))
| in(skf8(skf14(u)),skf14(u)) ),
inference(res,[status(thm),theory(equality)],[21,22]),
[iquote('0:Res:21.2,22.3')] ).
cnf(146,plain,
( ~ skP1(skf14(u))
| ~ skP0(skf14(u))
| ~ in(skc3,skf14(u))
| in(skf8(skf14(u)),skf14(u)) ),
inference(mrr,[status(thm)],[145,4]),
[iquote('0:MRR:145.2,4.0')] ).
cnf(147,plain,
( ~ skP1(skf14(u))
| ~ skP0(skf14(u))
| ~ in(skc3,skf14(u)) ),
inference(mrr,[status(thm)],[146,23]),
[iquote('0:MRR:146.3,23.3')] ).
cnf(246,plain,
( skP0(skf14(u))
| in(skf9(skf14(u)),skf14(u)) ),
inference(res,[status(thm),theory(equality)],[8,35]),
[iquote('0:Res:8.1,35.0')] ).
cnf(250,plain,
skP0(skf14(u)),
inference(mrr,[status(thm)],[246,7]),
[iquote('0:MRR:246.1,7.0')] ).
cnf(251,plain,
( ~ skP1(skf14(u))
| ~ in(skc3,skf14(u)) ),
inference(mrr,[status(thm)],[147,250]),
[iquote('0:MRR:147.1,250.0')] ).
cnf(389,plain,
subset(powerset(u),skf16(u,v)),
inference(res,[status(thm),theory(equality)],[102,55]),
[iquote('0:Res:102.1,55.0')] ).
cnf(428,plain,
( ~ in(u,skf14(v))
| in(powerset(u),skf14(v)) ),
inference(res,[status(thm),theory(equality)],[389,134]),
[iquote('0:Res:389.0,134.1')] ).
cnf(445,plain,
( ~ in(skf11(skf14(u)),skf14(u))
| skP1(skf14(u)) ),
inference(res,[status(thm),theory(equality)],[428,11]),
[iquote('0:Res:428.1,11.0')] ).
cnf(448,plain,
skP1(skf14(u)),
inference(mrr,[status(thm)],[445,9]),
[iquote('0:MRR:445.0,9.1')] ).
cnf(449,plain,
~ in(skc3,skf14(u)),
inference(mrr,[status(thm)],[251,448]),
[iquote('0:MRR:251.0,448.0')] ).
cnf(450,plain,
$false,
inference(unc,[status(thm)],[449,5]),
[iquote('0:UnC:449.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU168+3 : TPTP v8.1.0. Released v3.2.0.
% 0.15/0.15 % Command : run_spass %d %s
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Sun Jun 19 11:42:40 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.23/0.52
% 0.23/0.52 SPASS V 3.9
% 0.23/0.52 SPASS beiseite: Proof found.
% 0.23/0.52 % SZS status Theorem
% 0.23/0.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.52 SPASS derived 409 clauses, backtracked 0 clauses, performed 0 splits and kept 375 clauses.
% 0.23/0.52 SPASS allocated 98090 KBytes.
% 0.23/0.52 SPASS spent 0:00:00.14 on the problem.
% 0.23/0.52 0:00:00.03 for the input.
% 0.23/0.52 0:00:00.04 for the FLOTTER CNF translation.
% 0.23/0.52 0:00:00.01 for inferences.
% 0.23/0.52 0:00:00.00 for the backtracking.
% 0.23/0.52 0:00:00.03 for the reduction.
% 0.23/0.52
% 0.23/0.52
% 0.23/0.52 Here is a proof with depth 5, length 33 :
% 0.23/0.52 % SZS output start Refutation
% See solution above
% 0.23/0.52 Formulae used in the proof : t136_zfmisc_1 reflexivity_r1_tarski t9_tarski antisymmetry_r2_hidden d3_tarski d1_zfmisc_1
% 0.23/0.52
%------------------------------------------------------------------------------