TSTP Solution File: SEU168+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU168+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 14:34:38 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% 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(2,axiom,
subset(skf8(u),u),
file('SEU168+1.p',unknown),
[] ).
cnf(3,axiom,
in(u,skf14(u)),
file('SEU168+1.p',unknown),
[] ).
cnf(4,axiom,
subset(skf9(u),skf10(u)),
file('SEU168+1.p',unknown),
[] ).
cnf(5,axiom,
~ in(skf9(u),u),
file('SEU168+1.p',unknown),
[] ).
cnf(6,axiom,
( skP0(u)
| in(skf10(u),u) ),
file('SEU168+1.p',unknown),
[] ).
cnf(7,axiom,
( skP1(u)
| in(skf11(u),u) ),
file('SEU168+1.p',unknown),
[] ).
cnf(8,axiom,
~ in(skf13(u,v),u),
file('SEU168+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ in(powerset(skf11(u)),u)
| skP1(u) ),
file('SEU168+1.p',unknown),
[] ).
cnf(11,axiom,
( subset(u,v)
| in(skf13(v,u),u) ),
file('SEU168+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ subset(u,v)
| in(u,skf16(v,w)) ),
file('SEU168+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ in(u,skf14(v))
| in(skf16(u,v),skf14(v)) ),
file('SEU168+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ in(u,v)
| ~ equal(v,powerset(w))
| subset(u,w) ),
file('SEU168+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ subset(u,v)
| ~ in(v,skf14(w))
| in(u,skf14(w)) ),
file('SEU168+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ subset(u,skf14(v))
| in(u,skf14(v))
| are_equipotent(u,skf14(v)) ),
file('SEU168+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ skP1(u)
| ~ skP0(u)
| ~ in(skc1,u)
| ~ are_equipotent(skf8(u),u) ),
file('SEU168+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ skP1(u)
| ~ skP0(u)
| ~ in(skc1,u)
| ~ in(skf8(u),u) ),
file('SEU168+1.p',unknown),
[] ).
cnf(33,plain,
( ~ in(skf10(u),skf14(v))
| in(skf9(u),skf14(v)) ),
inference(res,[status(thm),theory(equality)],[4,18]),
[iquote('0:Res:4.0,18.1')] ).
cnf(58,plain,
~ subset(skf13(skf16(u,v),w),u),
inference(res,[status(thm),theory(equality)],[12,8]),
[iquote('0:Res:12.1,8.0')] ).
cnf(98,plain,
( ~ in(u,powerset(v))
| subset(u,v) ),
inference(eqr,[status(thm),theory(equality)],[16]),
[iquote('0:EqR:16.1')] ).
cnf(103,plain,
( subset(powerset(u),v)
| subset(skf13(v,powerset(u)),u) ),
inference(res,[status(thm),theory(equality)],[11,98]),
[iquote('0:Res:11.1,98.0')] ).
cnf(137,plain,
( ~ in(u,skf14(v))
| ~ subset(w,skf16(u,v))
| in(w,skf14(v)) ),
inference(res,[status(thm),theory(equality)],[15,18]),
[iquote('0:Res:15.1,18.1')] ).
cnf(148,plain,
( ~ skP1(skf14(u))
| ~ skP0(skf14(u))
| ~ subset(skf8(skf14(u)),skf14(u))
| ~ in(skc1,skf14(u))
| in(skf8(skf14(u)),skf14(u)) ),
inference(res,[status(thm),theory(equality)],[19,20]),
[iquote('0:Res:19.2,20.3')] ).
cnf(149,plain,
( ~ skP1(skf14(u))
| ~ skP0(skf14(u))
| ~ in(skc1,skf14(u))
| in(skf8(skf14(u)),skf14(u)) ),
inference(mrr,[status(thm)],[148,2]),
[iquote('0:MRR:148.2,2.0')] ).
cnf(150,plain,
( ~ skP1(skf14(u))
| ~ skP0(skf14(u))
| ~ in(skc1,skf14(u)) ),
inference(mrr,[status(thm)],[149,21]),
[iquote('0:MRR:149.3,21.3')] ).
cnf(245,plain,
( skP0(skf14(u))
| in(skf9(skf14(u)),skf14(u)) ),
inference(res,[status(thm),theory(equality)],[6,33]),
[iquote('0:Res:6.1,33.0')] ).
cnf(249,plain,
skP0(skf14(u)),
inference(mrr,[status(thm)],[245,5]),
[iquote('0:MRR:245.1,5.0')] ).
cnf(250,plain,
( ~ skP1(skf14(u))
| ~ in(skc1,skf14(u)) ),
inference(mrr,[status(thm)],[150,249]),
[iquote('0:MRR:150.1,249.0')] ).
cnf(395,plain,
subset(powerset(u),skf16(u,v)),
inference(res,[status(thm),theory(equality)],[103,58]),
[iquote('0:Res:103.1,58.0')] ).
cnf(420,plain,
( ~ in(u,skf14(v))
| in(powerset(u),skf14(v)) ),
inference(res,[status(thm),theory(equality)],[395,137]),
[iquote('0:Res:395.0,137.1')] ).
cnf(443,plain,
( ~ in(skf11(skf14(u)),skf14(u))
| skP1(skf14(u)) ),
inference(res,[status(thm),theory(equality)],[420,9]),
[iquote('0:Res:420.1,9.0')] ).
cnf(446,plain,
skP1(skf14(u)),
inference(mrr,[status(thm)],[443,7]),
[iquote('0:MRR:443.0,7.1')] ).
cnf(447,plain,
~ in(skc1,skf14(u)),
inference(mrr,[status(thm)],[250,446]),
[iquote('0:MRR:250.0,446.0')] ).
cnf(448,plain,
$false,
inference(unc,[status(thm)],[447,3]),
[iquote('0:UnC:447.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU168+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n018.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 05:51:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.51
% 0.20/0.51 SPASS V 3.9
% 0.20/0.51 SPASS beiseite: Proof found.
% 0.20/0.51 % SZS status Theorem
% 0.20/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 SPASS derived 409 clauses, backtracked 0 clauses, performed 0 splits and kept 373 clauses.
% 0.20/0.51 SPASS allocated 98087 KBytes.
% 0.20/0.51 SPASS spent 0:00:00.16 on the problem.
% 0.20/0.51 0:00:00.04 for the input.
% 0.20/0.51 0:00:00.04 for the FLOTTER CNF translation.
% 0.20/0.51 0:00:00.01 for inferences.
% 0.20/0.51 0:00:00.00 for the backtracking.
% 0.20/0.51 0:00:00.04 for the reduction.
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 Here is a proof with depth 5, length 33 :
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 Formulae used in the proof : t136_zfmisc_1 reflexivity_r1_tarski t9_tarski antisymmetry_r2_hidden d3_tarski d1_zfmisc_1
% 0.20/0.51
%------------------------------------------------------------------------------