TSTP Solution File: LAT294+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT294+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 : Sun Jul 17 06:50:16 EDT 2022
% Result : Theorem 1.36s 1.59s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 32
% Syntax : Number of clauses : 77 ( 29 unt; 13 nHn; 77 RR)
% Number of literals : 350 ( 0 equ; 271 neg)
% Maximal clause size : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v1_funct_1(skc14),
file('LAT294+1.p',unknown),
[] ).
cnf(2,axiom,
v1_funct_1(skc13),
file('LAT294+1.p',unknown),
[] ).
cnf(3,axiom,
v1_funct_1(skc12),
file('LAT294+1.p',unknown),
[] ).
cnf(14,axiom,
~ v1_xboole_0(skc11),
file('LAT294+1.p',unknown),
[] ).
cnf(15,axiom,
~ v1_xboole_0(skc10),
file('LAT294+1.p',unknown),
[] ).
cnf(19,axiom,
m1_subset_1(skc11,k1_zfmisc_1(skc10)),
file('LAT294+1.p',unknown),
[] ).
cnf(20,axiom,
r6_binop_1(skc10,skc12,skc13),
file('LAT294+1.p',unknown),
[] ).
cnf(21,axiom,
v1_funct_1(k1_realset1(skc13,skc11)),
file('LAT294+1.p',unknown),
[] ).
cnf(22,axiom,
m1_subset_1(skf6(u),u),
file('LAT294+1.p',unknown),
[] ).
cnf(24,axiom,
equal(k1_realset1(skc12,skc11),skc14),
file('LAT294+1.p',unknown),
[] ).
cnf(26,axiom,
m1_subset_1(skf8(u),k1_zfmisc_1(u)),
file('LAT294+1.p',unknown),
[] ).
cnf(28,axiom,
v1_funct_2(skc12,k2_zfmisc_1(skc10,skc10),skc10),
file('LAT294+1.p',unknown),
[] ).
cnf(29,axiom,
m2_relset_1(skc12,k2_zfmisc_1(skc10,skc10),skc10),
file('LAT294+1.p',unknown),
[] ).
cnf(30,axiom,
v1_funct_2(skc13,k2_zfmisc_1(skc10,skc10),skc10),
file('LAT294+1.p',unknown),
[] ).
cnf(31,axiom,
m2_relset_1(skc13,k2_zfmisc_1(skc10,skc10),skc10),
file('LAT294+1.p',unknown),
[] ).
cnf(32,axiom,
v1_funct_2(skc14,k2_zfmisc_1(skc11,skc11),skc11),
file('LAT294+1.p',unknown),
[] ).
cnf(33,axiom,
m2_relset_1(skc14,k2_zfmisc_1(skc11,skc11),skc11),
file('LAT294+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ v1_xboole_0(skf8(u))
| v1_xboole_0(u) ),
file('LAT294+1.p',unknown),
[] ).
cnf(38,axiom,
~ r6_binop_1(skc11,skc14,k1_realset1(skc13,skc11)),
file('LAT294+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ v1_relat_1(u)
| v1_relat_1(k1_realset1(u,v)) ),
file('LAT294+1.p',unknown),
[] ).
cnf(43,axiom,
m2_relset_1(k1_realset1(skc13,skc11),k2_zfmisc_1(skc11,skc11),skc11),
file('LAT294+1.p',unknown),
[] ).
cnf(44,axiom,
v1_funct_2(k1_realset1(skc13,skc11),k2_zfmisc_1(skc11,skc11),skc11),
file('LAT294+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w)))
| v1_relat_1(u) ),
file('LAT294+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ m1_subset_1(u,v)
| v1_xboole_0(v)
| r2_hidden(u,v) ),
file('LAT294+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ v1_relat_1(u)
| ~ v1_funct_1(u)
| v1_funct_1(k1_realset1(u,v)) ),
file('LAT294+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ m2_relset_1(u,v,w)
| m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w))) ),
file('LAT294+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ v1_xboole_0(u)
| ~ r2_hidden(v,w)
| ~ m1_subset_1(w,k1_zfmisc_1(u)) ),
file('LAT294+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ r6_binop_1(w,u,v)
| ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(v,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(u,k2_zfmisc_1(w,w),w)
| r5_binop_1(w,u,v) ),
file('LAT294+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ r6_binop_1(w,u,v)
| ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(v,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(u,k2_zfmisc_1(w,w),w)
| r4_binop_1(w,u,v) ),
file('LAT294+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ r5_binop_1(w,u,v)
| ~ r4_binop_1(w,u,v)
| ~ m2_relset_1(v,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(u,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
| r6_binop_1(w,u,v) ),
file('LAT294+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ v1_funct_1(w)
| ~ v1_funct_1(k1_realset1(v,x))
| ~ m1_subset_1(x,k1_zfmisc_1(y))
| ~ equal(u,k1_realset1(w,x))
| ~ r5_binop_1(y,w,v)
| ~ m2_relset_1(u,k2_zfmisc_1(x,x),x)
| ~ v1_funct_2(u,k2_zfmisc_1(x,x),x)
| ~ m2_relset_1(v,k2_zfmisc_1(y,y),y)
| ~ v1_funct_2(v,k2_zfmisc_1(y,y),y)
| ~ m2_relset_1(w,k2_zfmisc_1(y,y),y)
| ~ v1_funct_2(w,k2_zfmisc_1(y,y),y)
| ~ v1_funct_2(k1_realset1(v,x),k2_zfmisc_1(x,x),x)
| ~ m2_relset_1(k1_realset1(v,x),k2_zfmisc_1(x,x),x)
| v1_xboole_0(x)
| v1_xboole_0(y)
| r5_binop_1(x,u,k1_realset1(v,x)) ),
file('LAT294+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ v1_funct_1(w)
| ~ v1_funct_1(k1_realset1(v,x))
| ~ m1_subset_1(x,k1_zfmisc_1(y))
| ~ equal(u,k1_realset1(w,x))
| ~ r4_binop_1(y,w,v)
| ~ m2_relset_1(u,k2_zfmisc_1(x,x),x)
| ~ v1_funct_2(u,k2_zfmisc_1(x,x),x)
| ~ m2_relset_1(v,k2_zfmisc_1(y,y),y)
| ~ v1_funct_2(v,k2_zfmisc_1(y,y),y)
| ~ m2_relset_1(w,k2_zfmisc_1(y,y),y)
| ~ v1_funct_2(w,k2_zfmisc_1(y,y),y)
| ~ v1_funct_2(k1_realset1(v,x),k2_zfmisc_1(x,x),x)
| ~ m2_relset_1(k1_realset1(v,x),k2_zfmisc_1(x,x),x)
| v1_xboole_0(x)
| v1_xboole_0(y)
| r4_binop_1(x,u,k1_realset1(v,x)) ),
file('LAT294+1.p',unknown),
[] ).
cnf(106,plain,
( ~ v1_funct_1(u)
| ~ r5_binop_1(v,skc14,u)
| ~ r4_binop_1(v,skc14,u)
| ~ m2_relset_1(u,k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(u,k2_zfmisc_1(v,v),v)
| ~ m2_relset_1(skc14,k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(skc14,k2_zfmisc_1(v,v),v)
| r6_binop_1(v,skc14,u) ),
inference(res,[status(thm),theory(equality)],[1,65]),
[iquote('0:Res:1.0,65.1')] ).
cnf(112,plain,
~ v1_xboole_0(skf8(skc10)),
inference(res,[status(thm),theory(equality)],[36,15]),
[iquote('0:Res:36.1,15.0')] ).
cnf(127,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(skc13)
| ~ v1_funct_1(v)
| ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(u,k2_zfmisc_1(w,w),w)
| ~ m1_subset_1(skc11,k1_zfmisc_1(w))
| ~ v1_funct_2(skc13,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(skc13,k2_zfmisc_1(w,w),w)
| ~ r4_binop_1(w,u,skc13)
| ~ v1_funct_2(v,k2_zfmisc_1(skc11,skc11),skc11)
| ~ m2_relset_1(v,k2_zfmisc_1(skc11,skc11),skc11)
| ~ equal(v,k1_realset1(u,skc11))
| ~ m2_relset_1(k1_realset1(skc13,skc11),k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(k1_realset1(skc13,skc11),k2_zfmisc_1(skc11,skc11),skc11)
| r4_binop_1(skc11,v,k1_realset1(skc13,skc11))
| v1_xboole_0(w)
| v1_xboole_0(skc11) ),
inference(res,[status(thm),theory(equality)],[21,67]),
[iquote('0:Res:21.0,67.14')] ).
cnf(128,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(skc13)
| ~ v1_funct_1(v)
| ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(u,k2_zfmisc_1(w,w),w)
| ~ m1_subset_1(skc11,k1_zfmisc_1(w))
| ~ v1_funct_2(skc13,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(skc13,k2_zfmisc_1(w,w),w)
| ~ r5_binop_1(w,u,skc13)
| ~ v1_funct_2(v,k2_zfmisc_1(skc11,skc11),skc11)
| ~ m2_relset_1(v,k2_zfmisc_1(skc11,skc11),skc11)
| ~ equal(v,k1_realset1(u,skc11))
| ~ m2_relset_1(k1_realset1(skc13,skc11),k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(k1_realset1(skc13,skc11),k2_zfmisc_1(skc11,skc11),skc11)
| r5_binop_1(skc11,v,k1_realset1(skc13,skc11))
| v1_xboole_0(w)
| v1_xboole_0(skc11) ),
inference(res,[status(thm),theory(equality)],[21,66]),
[iquote('0:Res:21.0,66.14')] ).
cnf(143,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ equal(u,k1_realset1(v,skc11))
| ~ m1_subset_1(skc11,k1_zfmisc_1(w))
| ~ r5_binop_1(w,v,skc13)
| ~ m2_relset_1(v,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ m2_relset_1(skc13,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(skc13,k2_zfmisc_1(w,w),w)
| v1_xboole_0(w)
| r5_binop_1(skc11,u,k1_realset1(skc13,skc11)) ),
inference(mrr,[status(thm)],[128,2,43,44,14]),
[iquote('0:MRR:128.1,128.12,128.13,128.16,2.0,43.0,44.0,14.0')] ).
cnf(144,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ equal(u,k1_realset1(v,skc11))
| ~ m1_subset_1(skc11,k1_zfmisc_1(w))
| ~ r4_binop_1(w,v,skc13)
| ~ m2_relset_1(v,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ m2_relset_1(skc13,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(skc13,k2_zfmisc_1(w,w),w)
| v1_xboole_0(w)
| r4_binop_1(skc11,u,k1_realset1(skc13,skc11)) ),
inference(mrr,[status(thm)],[127,2,43,44,14]),
[iquote('0:MRR:127.1,127.12,127.13,127.16,2.0,43.0,44.0,14.0')] ).
cnf(204,plain,
( ~ m2_relset_1(u,v,w)
| v1_relat_1(u) ),
inference(res,[status(thm),theory(equality)],[59,48]),
[iquote('0:Res:59.1,48.0')] ).
cnf(209,plain,
v1_relat_1(skc14),
inference(res,[status(thm),theory(equality)],[33,204]),
[iquote('0:Res:33.0,204.0')] ).
cnf(211,plain,
v1_relat_1(skc13),
inference(res,[status(thm),theory(equality)],[31,204]),
[iquote('0:Res:31.0,204.0')] ).
cnf(212,plain,
v1_relat_1(skc12),
inference(res,[status(thm),theory(equality)],[29,204]),
[iquote('0:Res:29.0,204.0')] ).
cnf(228,plain,
( ~ v1_xboole_0(u)
| ~ r2_hidden(v,skf8(u)) ),
inference(res,[status(thm),theory(equality)],[26,62]),
[iquote('0:Res:26.0,62.2')] ).
cnf(253,plain,
( ~ v1_funct_1(skc12)
| ~ v1_funct_1(u)
| ~ r6_binop_1(skc10,skc12,u)
| ~ m2_relset_1(u,k2_zfmisc_1(skc10,skc10),skc10)
| ~ v1_funct_2(u,k2_zfmisc_1(skc10,skc10),skc10)
| ~ m2_relset_1(skc12,k2_zfmisc_1(skc10,skc10),skc10)
| r4_binop_1(skc10,skc12,u) ),
inference(res,[status(thm),theory(equality)],[28,64]),
[iquote('0:Res:28.0,64.3')] ).
cnf(254,plain,
( ~ v1_funct_1(u)
| ~ r6_binop_1(skc10,skc12,u)
| ~ m2_relset_1(u,k2_zfmisc_1(skc10,skc10),skc10)
| ~ v1_funct_2(u,k2_zfmisc_1(skc10,skc10),skc10)
| ~ m2_relset_1(skc12,k2_zfmisc_1(skc10,skc10),skc10)
| r4_binop_1(skc10,skc12,u) ),
inference(ssi,[status(thm)],[253,3,212]),
[iquote('0:SSi:253.0,3.0,212.0')] ).
cnf(255,plain,
( ~ v1_funct_1(u)
| ~ r6_binop_1(skc10,skc12,u)
| ~ m2_relset_1(u,k2_zfmisc_1(skc10,skc10),skc10)
| ~ v1_funct_2(u,k2_zfmisc_1(skc10,skc10),skc10)
| r4_binop_1(skc10,skc12,u) ),
inference(mrr,[status(thm)],[254,29]),
[iquote('0:MRR:254.4,29.0')] ).
cnf(265,plain,
( ~ v1_xboole_0(u)
| ~ m1_subset_1(v,skf8(u))
| v1_xboole_0(skf8(u)) ),
inference(res,[status(thm),theory(equality)],[52,228]),
[iquote('0:Res:52.2,228.1')] ).
cnf(269,plain,
( ~ v1_funct_1(skc12)
| ~ v1_funct_1(u)
| ~ r6_binop_1(skc10,skc12,u)
| ~ m2_relset_1(u,k2_zfmisc_1(skc10,skc10),skc10)
| ~ v1_funct_2(u,k2_zfmisc_1(skc10,skc10),skc10)
| ~ m2_relset_1(skc12,k2_zfmisc_1(skc10,skc10),skc10)
| r5_binop_1(skc10,skc12,u) ),
inference(res,[status(thm),theory(equality)],[28,63]),
[iquote('0:Res:28.0,63.3')] ).
cnf(270,plain,
( ~ v1_funct_1(u)
| ~ r6_binop_1(skc10,skc12,u)
| ~ m2_relset_1(u,k2_zfmisc_1(skc10,skc10),skc10)
| ~ v1_funct_2(u,k2_zfmisc_1(skc10,skc10),skc10)
| ~ m2_relset_1(skc12,k2_zfmisc_1(skc10,skc10),skc10)
| r5_binop_1(skc10,skc12,u) ),
inference(ssi,[status(thm)],[269,3,212]),
[iquote('0:SSi:269.0,3.0,212.0')] ).
cnf(271,plain,
( ~ v1_funct_1(u)
| ~ r6_binop_1(skc10,skc12,u)
| ~ m2_relset_1(u,k2_zfmisc_1(skc10,skc10),skc10)
| ~ v1_funct_2(u,k2_zfmisc_1(skc10,skc10),skc10)
| r5_binop_1(skc10,skc12,u) ),
inference(mrr,[status(thm)],[270,29]),
[iquote('0:MRR:270.4,29.0')] ).
cnf(296,plain,
( ~ v1_xboole_0(u)
| v1_xboole_0(skf8(u)) ),
inference(res,[status(thm),theory(equality)],[22,265]),
[iquote('0:Res:22.0,265.1')] ).
cnf(301,plain,
~ v1_xboole_0(skc10),
inference(res,[status(thm),theory(equality)],[296,112]),
[iquote('0:Res:296.1,112.0')] ).
cnf(418,plain,
( ~ v1_funct_1(skc13)
| ~ r6_binop_1(skc10,skc12,skc13)
| ~ m2_relset_1(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| r4_binop_1(skc10,skc12,skc13) ),
inference(res,[status(thm),theory(equality)],[30,255]),
[iquote('0:Res:30.0,255.3')] ).
cnf(420,plain,
( ~ r6_binop_1(skc10,skc12,skc13)
| ~ m2_relset_1(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| r4_binop_1(skc10,skc12,skc13) ),
inference(ssi,[status(thm)],[418,2,211]),
[iquote('0:SSi:418.0,2.0,211.0')] ).
cnf(421,plain,
r4_binop_1(skc10,skc12,skc13),
inference(mrr,[status(thm)],[420,20,31]),
[iquote('0:MRR:420.0,420.1,20.0,31.0')] ).
cnf(461,plain,
( ~ v1_funct_1(skc13)
| ~ r6_binop_1(skc10,skc12,skc13)
| ~ m2_relset_1(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| r5_binop_1(skc10,skc12,skc13) ),
inference(res,[status(thm),theory(equality)],[30,271]),
[iquote('0:Res:30.0,271.3')] ).
cnf(463,plain,
( ~ r6_binop_1(skc10,skc12,skc13)
| ~ m2_relset_1(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| r5_binop_1(skc10,skc12,skc13) ),
inference(ssi,[status(thm)],[461,2,211]),
[iquote('0:SSi:461.0,2.0,211.0')] ).
cnf(464,plain,
r5_binop_1(skc10,skc12,skc13),
inference(mrr,[status(thm)],[463,20,31]),
[iquote('0:MRR:463.0,463.1,20.0,31.0')] ).
cnf(988,plain,
( ~ v1_funct_1(k1_realset1(skc13,skc11))
| ~ r5_binop_1(skc11,skc14,k1_realset1(skc13,skc11))
| ~ r4_binop_1(skc11,skc14,k1_realset1(skc13,skc11))
| ~ v1_funct_2(k1_realset1(skc13,skc11),k2_zfmisc_1(skc11,skc11),skc11)
| ~ m2_relset_1(skc14,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(skc14,k2_zfmisc_1(skc11,skc11),skc11)
| r6_binop_1(skc11,skc14,k1_realset1(skc13,skc11)) ),
inference(res,[status(thm),theory(equality)],[43,106]),
[iquote('0:Res:43.0,106.3')] ).
cnf(998,plain,
( ~ r5_binop_1(skc11,skc14,k1_realset1(skc13,skc11))
| ~ r4_binop_1(skc11,skc14,k1_realset1(skc13,skc11))
| ~ v1_funct_2(k1_realset1(skc13,skc11),k2_zfmisc_1(skc11,skc11),skc11)
| ~ m2_relset_1(skc14,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(skc14,k2_zfmisc_1(skc11,skc11),skc11)
| r6_binop_1(skc11,skc14,k1_realset1(skc13,skc11)) ),
inference(ssi,[status(thm)],[988,40,2,211,55]),
[iquote('0:SSi:988.0,40.0,2.0,211.2,55.0,2.0,211.1')] ).
cnf(999,plain,
( ~ r5_binop_1(skc11,skc14,k1_realset1(skc13,skc11))
| ~ r4_binop_1(skc11,skc14,k1_realset1(skc13,skc11)) ),
inference(mrr,[status(thm)],[998,44,33,32,38]),
[iquote('0:MRR:998.2,998.3,998.4,998.5,44.0,33.0,32.0,38.0')] ).
cnf(1281,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(skc12)
| ~ equal(u,k1_realset1(skc12,skc11))
| ~ m1_subset_1(skc11,k1_zfmisc_1(skc10))
| ~ r4_binop_1(skc10,skc12,skc13)
| ~ v1_funct_2(skc12,k2_zfmisc_1(skc10,skc10),skc10)
| ~ m2_relset_1(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ m2_relset_1(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| ~ v1_funct_2(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| v1_xboole_0(skc10)
| r4_binop_1(skc11,u,k1_realset1(skc13,skc11)) ),
inference(res,[status(thm),theory(equality)],[29,144]),
[iquote('0:Res:29.0,144.5')] ).
cnf(1284,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(skc12)
| ~ equal(u,skc14)
| ~ m1_subset_1(skc11,k1_zfmisc_1(skc10))
| ~ r4_binop_1(skc10,skc12,skc13)
| ~ v1_funct_2(skc12,k2_zfmisc_1(skc10,skc10),skc10)
| ~ m2_relset_1(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ m2_relset_1(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| ~ v1_funct_2(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| v1_xboole_0(skc10)
| r4_binop_1(skc11,u,k1_realset1(skc13,skc11)) ),
inference(rew,[status(thm),theory(equality)],[24,1281]),
[iquote('0:Rew:24.0,1281.2')] ).
cnf(1285,plain,
( ~ v1_funct_1(u)
| ~ equal(u,skc14)
| ~ m1_subset_1(skc11,k1_zfmisc_1(skc10))
| ~ r4_binop_1(skc10,skc12,skc13)
| ~ v1_funct_2(skc12,k2_zfmisc_1(skc10,skc10),skc10)
| ~ m2_relset_1(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ m2_relset_1(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| ~ v1_funct_2(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| v1_xboole_0(skc10)
| r4_binop_1(skc11,u,k1_realset1(skc13,skc11)) ),
inference(ssi,[status(thm)],[1284,3,212]),
[iquote('0:SSi:1284.1,3.0,212.0')] ).
cnf(1286,plain,
( ~ v1_funct_1(u)
| ~ equal(u,skc14)
| ~ m2_relset_1(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(u,k2_zfmisc_1(skc11,skc11),skc11)
| r4_binop_1(skc11,u,k1_realset1(skc13,skc11)) ),
inference(mrr,[status(thm)],[1285,19,421,28,31,30,301]),
[iquote('0:MRR:1285.2,1285.3,1285.4,1285.7,1285.8,1285.9,19.0,421.0,28.0,31.0,30.0,301.0')] ).
cnf(1302,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(skc12)
| ~ equal(u,k1_realset1(skc12,skc11))
| ~ m1_subset_1(skc11,k1_zfmisc_1(skc10))
| ~ r5_binop_1(skc10,skc12,skc13)
| ~ v1_funct_2(skc12,k2_zfmisc_1(skc10,skc10),skc10)
| ~ m2_relset_1(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ m2_relset_1(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| ~ v1_funct_2(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| v1_xboole_0(skc10)
| r5_binop_1(skc11,u,k1_realset1(skc13,skc11)) ),
inference(res,[status(thm),theory(equality)],[29,143]),
[iquote('0:Res:29.0,143.5')] ).
cnf(1305,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(skc12)
| ~ equal(u,skc14)
| ~ m1_subset_1(skc11,k1_zfmisc_1(skc10))
| ~ r5_binop_1(skc10,skc12,skc13)
| ~ v1_funct_2(skc12,k2_zfmisc_1(skc10,skc10),skc10)
| ~ m2_relset_1(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ m2_relset_1(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| ~ v1_funct_2(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| v1_xboole_0(skc10)
| r5_binop_1(skc11,u,k1_realset1(skc13,skc11)) ),
inference(rew,[status(thm),theory(equality)],[24,1302]),
[iquote('0:Rew:24.0,1302.2')] ).
cnf(1306,plain,
( ~ v1_funct_1(u)
| ~ equal(u,skc14)
| ~ m1_subset_1(skc11,k1_zfmisc_1(skc10))
| ~ r5_binop_1(skc10,skc12,skc13)
| ~ v1_funct_2(skc12,k2_zfmisc_1(skc10,skc10),skc10)
| ~ m2_relset_1(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ m2_relset_1(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| ~ v1_funct_2(skc13,k2_zfmisc_1(skc10,skc10),skc10)
| v1_xboole_0(skc10)
| r5_binop_1(skc11,u,k1_realset1(skc13,skc11)) ),
inference(ssi,[status(thm)],[1305,3,212]),
[iquote('0:SSi:1305.1,3.0,212.0')] ).
cnf(1307,plain,
( ~ v1_funct_1(u)
| ~ equal(u,skc14)
| ~ m2_relset_1(u,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(u,k2_zfmisc_1(skc11,skc11),skc11)
| r5_binop_1(skc11,u,k1_realset1(skc13,skc11)) ),
inference(mrr,[status(thm)],[1306,19,464,28,31,30,301]),
[iquote('0:MRR:1306.2,1306.3,1306.4,1306.7,1306.8,1306.9,19.0,464.0,28.0,31.0,30.0,301.0')] ).
cnf(5242,plain,
( ~ v1_funct_1(skc14)
| ~ equal(skc14,skc14)
| ~ m2_relset_1(skc14,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(skc14,k2_zfmisc_1(skc11,skc11),skc11)
| ~ r4_binop_1(skc11,skc14,k1_realset1(skc13,skc11)) ),
inference(res,[status(thm),theory(equality)],[1307,999]),
[iquote('0:Res:1307.4,999.0')] ).
cnf(5244,plain,
( ~ v1_funct_1(skc14)
| ~ m2_relset_1(skc14,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(skc14,k2_zfmisc_1(skc11,skc11),skc11)
| ~ r4_binop_1(skc11,skc14,k1_realset1(skc13,skc11)) ),
inference(obv,[status(thm),theory(equality)],[5242]),
[iquote('0:Obv:5242.1')] ).
cnf(5245,plain,
( ~ m2_relset_1(skc14,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(skc14,k2_zfmisc_1(skc11,skc11),skc11)
| ~ r4_binop_1(skc11,skc14,k1_realset1(skc13,skc11)) ),
inference(ssi,[status(thm)],[5244,1,209]),
[iquote('0:SSi:5244.0,1.0,209.0')] ).
cnf(5246,plain,
~ r4_binop_1(skc11,skc14,k1_realset1(skc13,skc11)),
inference(mrr,[status(thm)],[5245,33,32]),
[iquote('0:MRR:5245.0,5245.1,33.0,32.0')] ).
cnf(5250,plain,
( ~ v1_funct_1(skc14)
| ~ equal(skc14,skc14)
| ~ m2_relset_1(skc14,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(skc14,k2_zfmisc_1(skc11,skc11),skc11) ),
inference(res,[status(thm),theory(equality)],[1286,5246]),
[iquote('0:Res:1286.4,5246.0')] ).
cnf(5251,plain,
( ~ v1_funct_1(skc14)
| ~ m2_relset_1(skc14,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(skc14,k2_zfmisc_1(skc11,skc11),skc11) ),
inference(obv,[status(thm),theory(equality)],[5250]),
[iquote('0:Obv:5250.1')] ).
cnf(5252,plain,
( ~ m2_relset_1(skc14,k2_zfmisc_1(skc11,skc11),skc11)
| ~ v1_funct_2(skc14,k2_zfmisc_1(skc11,skc11),skc11) ),
inference(ssi,[status(thm)],[5251,1,209]),
[iquote('0:SSi:5251.0,1.0,209.0')] ).
cnf(5253,plain,
$false,
inference(mrr,[status(thm)],[5252,33,32]),
[iquote('0:MRR:5252.0,5252.1,33.0,32.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT294+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n015.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 : Wed Jun 29 07:52:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.36/1.59
% 1.36/1.59 SPASS V 3.9
% 1.36/1.59 SPASS beiseite: Proof found.
% 1.36/1.59 % SZS status Theorem
% 1.36/1.59 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.36/1.59 SPASS derived 3623 clauses, backtracked 304 clauses, performed 11 splits and kept 2313 clauses.
% 1.36/1.59 SPASS allocated 103344 KBytes.
% 1.36/1.59 SPASS spent 0:00:01.25 on the problem.
% 1.36/1.59 0:00:00.03 for the input.
% 1.36/1.59 0:00:00.04 for the FLOTTER CNF translation.
% 1.36/1.59 0:00:00.11 for inferences.
% 1.36/1.59 0:00:00.01 for the backtracking.
% 1.36/1.59 0:00:00.94 for the reduction.
% 1.36/1.59
% 1.36/1.59
% 1.36/1.59 Here is a proof with depth 4, length 77 :
% 1.36/1.59 % SZS output start Refutation
% See solution above
% 1.44/1.62 Formulae used in the proof : t4_filter_2 existence_m1_subset_1 rc1_subset_1 fc1_realset1 cc1_relset_1 t2_subset fc2_realset1 dt_m2_relset_1 t5_subset d11_binop_1 t3_filter_2
% 1.44/1.62
%------------------------------------------------------------------------------