TSTP Solution File: SEU449+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU449+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 14:37:40 EDT 2022
% Result : Theorem 0.72s 0.89s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 32 ( 17 unt; 0 nHn; 32 RR)
% Number of literals : 59 ( 0 equ; 40 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(13,axiom,
r1_tarski(u,u),
file('SEU449+1.p',unknown),
[] ).
cnf(14,axiom,
m2_relset_1(skc12,skc8,skc10),
file('SEU449+1.p',unknown),
[] ).
cnf(15,axiom,
m1_subset_1(skc11,k1_zfmisc_1(skc10)),
file('SEU449+1.p',unknown),
[] ).
cnf(16,axiom,
m1_subset_1(skc9,k1_zfmisc_1(skc8)),
file('SEU449+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ m2_relset_1(u,v,w)
| m1_relset_1(u,v,w) ),
file('SEU449+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ m2_relset_1(u,v,w)
| m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w))) ),
file('SEU449+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ m1_relset_1(u,v,w)
| equal(k6_relset_1(v,w,u),k4_relat_1(u)) ),
file('SEU449+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ m1_relset_1(u,v,w)
| m2_relset_1(k6_relset_1(v,w,u),w,v) ),
file('SEU449+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(v))
| ~ m1_subset_1(w,k1_zfmisc_1(k2_zfmisc_1(v,x)))
| m1_subset_1(k8_relset_2(v,x,u,w),k1_zfmisc_1(x)) ),
file('SEU449+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ r1_tarski(skc9,k8_relset_2(skc10,skc8,k8_relset_2(skc8,skc10,skc9,skc12),k6_relset_1(skc8,skc10,skc12)))
| ~ r1_tarski(skc11,k8_relset_2(skc8,skc10,k8_relset_2(skc10,skc8,skc11,k6_relset_1(skc8,skc10,skc12)),skc12)) ),
file('SEU449+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(v))
| ~ m1_subset_1(w,k1_zfmisc_1(x))
| ~ r1_tarski(w,k8_relset_2(v,x,u,y))
| ~ m2_relset_1(y,v,x)
| r1_tarski(u,k8_relset_2(x,v,w,k6_relset_1(v,x,y))) ),
file('SEU449+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(v))
| ~ m1_subset_1(w,k1_zfmisc_1(x))
| ~ r1_tarski(u,k8_relset_2(x,v,w,k6_relset_1(v,x,y)))
| ~ m2_relset_1(y,v,x)
| r1_tarski(w,k8_relset_2(v,x,u,y)) ),
file('SEU449+1.p',unknown),
[] ).
cnf(69,plain,
( ~ m1_relset_1(u,v,w)
| m2_relset_1(k4_relat_1(u),w,v) ),
inference(rew,[status(thm),theory(equality)],[55,56]),
[iquote('0:Rew:55.1,56.1')] ).
cnf(94,plain,
( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(skc10,v)))
| m1_subset_1(k8_relset_2(skc10,v,skc11,u),k1_zfmisc_1(v)) ),
inference(res,[status(thm),theory(equality)],[15,63]),
[iquote('0:Res:15.0,63.1')] ).
cnf(98,plain,
m1_subset_1(skc12,k1_zfmisc_1(k2_zfmisc_1(skc8,skc10))),
inference(res,[status(thm),theory(equality)],[14,50]),
[iquote('0:Res:14.0,50.0')] ).
cnf(99,plain,
m1_relset_1(skc12,skc8,skc10),
inference(res,[status(thm),theory(equality)],[14,48]),
[iquote('0:Res:14.0,48.0')] ).
cnf(469,plain,
( ~ m1_subset_1(k8_relset_2(u,v,w,k6_relset_1(v,u,x)),k1_zfmisc_1(v))
| ~ m1_subset_1(w,k1_zfmisc_1(u))
| ~ m2_relset_1(x,v,u)
| r1_tarski(w,k8_relset_2(v,u,k8_relset_2(u,v,w,k6_relset_1(v,u,x)),x)) ),
inference(res,[status(thm),theory(equality)],[13,68]),
[iquote('0:Res:13.0,68.2')] ).
cnf(1394,plain,
~ r1_tarski(skc9,k8_relset_2(skc10,skc8,k8_relset_2(skc8,skc10,skc9,skc12),k6_relset_1(skc8,skc10,skc12))),
inference(spt,[spt(split,[position(s1)])],[66]),
[iquote('1:Spt:66.0')] ).
cnf(1397,plain,
( ~ m1_subset_1(skc9,k1_zfmisc_1(skc8))
| ~ m1_subset_1(k8_relset_2(skc8,skc10,skc9,skc12),k1_zfmisc_1(skc10))
| ~ r1_tarski(k8_relset_2(skc8,skc10,skc9,skc12),k8_relset_2(skc8,skc10,skc9,skc12))
| ~ m2_relset_1(skc12,skc8,skc10) ),
inference(res,[status(thm),theory(equality)],[67,1394]),
[iquote('1:Res:67.4,1394.0')] ).
cnf(1399,plain,
~ m1_subset_1(k8_relset_2(skc8,skc10,skc9,skc12),k1_zfmisc_1(skc10)),
inference(mrr,[status(thm)],[1397,16,13,14]),
[iquote('1:MRR:1397.0,1397.2,1397.3,16.0,13.0,14.0')] ).
cnf(1431,plain,
( ~ m1_subset_1(skc9,k1_zfmisc_1(skc8))
| ~ m1_subset_1(skc12,k1_zfmisc_1(k2_zfmisc_1(skc8,skc10))) ),
inference(res,[status(thm),theory(equality)],[63,1399]),
[iquote('1:Res:63.2,1399.0')] ).
cnf(1434,plain,
$false,
inference(mrr,[status(thm)],[1431,16,98]),
[iquote('1:MRR:1431.0,1431.1,16.0,98.0')] ).
cnf(1435,plain,
r1_tarski(skc9,k8_relset_2(skc10,skc8,k8_relset_2(skc8,skc10,skc9,skc12),k6_relset_1(skc8,skc10,skc12))),
inference(spt,[spt(split,[position(sa)])],[1434,1394]),
[iquote('1:Spt:1434.0,66.0,1394.0')] ).
cnf(1436,plain,
~ r1_tarski(skc11,k8_relset_2(skc8,skc10,k8_relset_2(skc10,skc8,skc11,k6_relset_1(skc8,skc10,skc12)),skc12)),
inference(spt,[spt(split,[position(s2)])],[66]),
[iquote('1:Spt:1434.0,66.1')] ).
cnf(2333,plain,
( ~ m1_subset_1(k8_relset_2(skc10,skc8,skc11,k6_relset_1(skc8,skc10,skc12)),k1_zfmisc_1(skc8))
| ~ m1_subset_1(skc11,k1_zfmisc_1(skc10))
| ~ m2_relset_1(skc12,skc8,skc10) ),
inference(res,[status(thm),theory(equality)],[469,1436]),
[iquote('1:Res:469.3,1436.0')] ).
cnf(2335,plain,
~ m1_subset_1(k8_relset_2(skc10,skc8,skc11,k6_relset_1(skc8,skc10,skc12)),k1_zfmisc_1(skc8)),
inference(mrr,[status(thm)],[2333,15,14]),
[iquote('1:MRR:2333.1,2333.2,15.0,14.0')] ).
cnf(2365,plain,
~ m1_subset_1(k6_relset_1(skc8,skc10,skc12),k1_zfmisc_1(k2_zfmisc_1(skc10,skc8))),
inference(res,[status(thm),theory(equality)],[94,2335]),
[iquote('1:Res:94.1,2335.0')] ).
cnf(2402,plain,
~ m2_relset_1(k6_relset_1(skc8,skc10,skc12),skc10,skc8),
inference(res,[status(thm),theory(equality)],[50,2365]),
[iquote('1:Res:50.1,2365.0')] ).
cnf(2404,plain,
( ~ m1_relset_1(skc12,skc8,skc10)
| ~ m2_relset_1(k4_relat_1(skc12),skc10,skc8) ),
inference(spl,[status(thm),theory(equality)],[55,2402]),
[iquote('1:SpL:55.1,2402.0')] ).
cnf(2405,plain,
~ m2_relset_1(k4_relat_1(skc12),skc10,skc8),
inference(mrr,[status(thm)],[2404,99]),
[iquote('1:MRR:2404.0,99.0')] ).
cnf(2407,plain,
~ m1_relset_1(skc12,skc8,skc10),
inference(res,[status(thm),theory(equality)],[69,2405]),
[iquote('1:Res:69.1,2405.0')] ).
cnf(2408,plain,
$false,
inference(mrr,[status(thm)],[2407,99]),
[iquote('1:MRR:2407.0,99.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU449+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n026.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 04:15:11 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.72/0.89
% 0.72/0.89 SPASS V 3.9
% 0.72/0.89 SPASS beiseite: Proof found.
% 0.72/0.89 % SZS status Theorem
% 0.72/0.89 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.89 SPASS derived 2117 clauses, backtracked 68 clauses, performed 5 splits and kept 1298 clauses.
% 0.72/0.89 SPASS allocated 100540 KBytes.
% 0.72/0.89 SPASS spent 0:00:00.53 on the problem.
% 0.72/0.89 0:00:00.04 for the input.
% 0.72/0.89 0:00:00.04 for the FLOTTER CNF translation.
% 0.72/0.89 0:00:00.04 for inferences.
% 0.72/0.89 0:00:00.01 for the backtracking.
% 0.72/0.89 0:00:00.36 for the reduction.
% 0.72/0.89
% 0.72/0.89
% 0.72/0.89 Here is a proof with depth 6, length 32 :
% 0.72/0.89 % SZS output start Refutation
% See solution above
% 0.72/0.89 Formulae used in the proof : reflexivity_r1_tarski t63_relset_2 redefinition_m2_relset_1 dt_m2_relset_1 redefinition_k6_relset_1 dt_k6_relset_1 dt_k8_relset_2 t61_relset_2
% 0.72/0.89
%------------------------------------------------------------------------------