TSTP Solution File: LAT347+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT347+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 06:51:12 EDT 2022
% Result : Theorem 44.13s 44.30s
% Output : Refutation 44.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of clauses : 52 ( 25 unt; 11 nHn; 52 RR)
% Number of literals : 133 ( 0 equ; 76 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v2_orders_2(skc14),
file('LAT347+1.p',unknown),
[] ).
cnf(2,axiom,
v3_orders_2(skc14),
file('LAT347+1.p',unknown),
[] ).
cnf(3,axiom,
v4_orders_2(skc14),
file('LAT347+1.p',unknown),
[] ).
cnf(4,axiom,
v2_yellow_0(skc14),
file('LAT347+1.p',unknown),
[] ).
cnf(5,axiom,
v2_lattice3(skc14),
file('LAT347+1.p',unknown),
[] ).
cnf(6,axiom,
l1_orders_2(skc14),
file('LAT347+1.p',unknown),
[] ).
cnf(57,axiom,
~ v1_xboole_0(skc15),
file('LAT347+1.p',unknown),
[] ).
cnf(70,axiom,
v1_waybel_0(skc15,k2_yellow_1(k9_waybel_0(skc14))),
file('LAT347+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ l1_orders_2(u)
| v1_orders_2(k7_lattice3(u)) ),
file('LAT347+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ l1_orders_2(u)
| l1_orders_2(k7_lattice3(u)) ),
file('LAT347+1.p',unknown),
[] ).
cnf(89,axiom,
m1_subset_1(skc15,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(skc14))))),
file('LAT347+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(v))
| r1_tarski(u,v) ),
file('LAT347+1.p',unknown),
[] ).
cnf(102,axiom,
( ~ r1_tarski(u,v)
| m1_subset_1(u,k1_zfmisc_1(v)) ),
file('LAT347+1.p',unknown),
[] ).
cnf(103,axiom,
~ equal(k1_yellow_0(k2_yellow_1(k9_waybel_0(skc14)),skc15),k3_tarski(skc15)),
file('LAT347+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ v3_struct_0(u)
| ~ v2_lattice3(u)
| ~ l1_orders_2(u) ),
file('LAT347+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ l1_orders_2(u)
| ~ v2_yellow_0(u)
| v1_yellow_0(k7_lattice3(u)) ),
file('LAT347+1.p',unknown),
[] ).
cnf(114,axiom,
( ~ l1_orders_2(u)
| ~ v2_orders_2(u)
| v2_orders_2(k7_lattice3(u)) ),
file('LAT347+1.p',unknown),
[] ).
cnf(116,axiom,
( ~ l1_orders_2(u)
| ~ v3_orders_2(u)
| v3_orders_2(k7_lattice3(u)) ),
file('LAT347+1.p',unknown),
[] ).
cnf(118,axiom,
( ~ l1_orders_2(u)
| ~ v4_orders_2(u)
| v4_orders_2(k7_lattice3(u)) ),
file('LAT347+1.p',unknown),
[] ).
cnf(121,axiom,
( ~ l1_orders_2(u)
| ~ v2_lattice3(u)
| v1_lattice3(k7_lattice3(u)) ),
file('LAT347+1.p',unknown),
[] ).
cnf(194,axiom,
( ~ l1_orders_2(u)
| ~ v3_orders_2(u)
| ~ v2_orders_2(u)
| v3_struct_0(u)
| equal(k9_waybel_0(u),a_1_1_waybel_0(u)) ),
file('LAT347+1.p',unknown),
[] ).
cnf(201,axiom,
( ~ v2_orders_2(u)
| ~ v3_orders_2(u)
| ~ l1_orders_2(u)
| v3_struct_0(u)
| equal(k8_waybel_0(k7_lattice3(u)),k9_waybel_0(u)) ),
file('LAT347+1.p',unknown),
[] ).
cnf(234,axiom,
( ~ l1_orders_2(u)
| ~ v1_yellow_0(u)
| ~ v1_lattice3(u)
| ~ v4_orders_2(u)
| ~ v3_orders_2(u)
| ~ v2_orders_2(u)
| ~ v1_waybel_0(v,k2_yellow_1(k8_waybel_0(u)))
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(u)))))
| v1_xboole_0(v)
| equal(k1_yellow_0(k2_yellow_1(k8_waybel_0(u)),v),k3_tarski(v)) ),
file('LAT347+1.p',unknown),
[] ).
cnf(238,plain,
( ~ l1_orders_2(u)
| ~ v3_orders_2(u)
| ~ v2_orders_2(u)
| v3_struct_0(u)
| equal(k8_waybel_0(k7_lattice3(u)),a_1_1_waybel_0(u)) ),
inference(rew,[status(thm),theory(equality)],[194,201]),
[iquote('0:Rew:194.4,201.4')] ).
cnf(272,plain,
( ~ v2_orders_2(skc14)
| ~ v3_orders_2(skc14)
| v3_struct_0(skc14)
| equal(k8_waybel_0(k7_lattice3(skc14)),a_1_1_waybel_0(skc14)) ),
inference(res,[status(thm),theory(equality)],[6,238]),
[iquote('0:Res:6.0,238.2')] ).
cnf(275,plain,
( ~ v2_orders_2(skc14)
| ~ v3_orders_2(skc14)
| v3_struct_0(skc14)
| equal(k9_waybel_0(skc14),a_1_1_waybel_0(skc14)) ),
inference(res,[status(thm),theory(equality)],[6,194]),
[iquote('0:Res:6.0,194.2')] ).
cnf(315,plain,
( ~ v2_lattice3(skc14)
| ~ v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[6,106]),
[iquote('0:Res:6.0,106.0')] ).
cnf(317,plain,
( ~ v2_yellow_0(skc14)
| v1_yellow_0(k7_lattice3(skc14)) ),
inference(res,[status(thm),theory(equality)],[6,111]),
[iquote('0:Res:6.0,111.1')] ).
cnf(318,plain,
( ~ v2_orders_2(skc14)
| v2_orders_2(k7_lattice3(skc14)) ),
inference(res,[status(thm),theory(equality)],[6,114]),
[iquote('0:Res:6.0,114.1')] ).
cnf(319,plain,
( ~ v3_orders_2(skc14)
| v3_orders_2(k7_lattice3(skc14)) ),
inference(res,[status(thm),theory(equality)],[6,116]),
[iquote('0:Res:6.0,116.1')] ).
cnf(320,plain,
( ~ v4_orders_2(skc14)
| v4_orders_2(k7_lattice3(skc14)) ),
inference(res,[status(thm),theory(equality)],[6,118]),
[iquote('0:Res:6.0,118.1')] ).
cnf(321,plain,
( ~ v2_lattice3(skc14)
| v1_lattice3(k7_lattice3(skc14)) ),
inference(res,[status(thm),theory(equality)],[6,121]),
[iquote('0:Res:6.0,121.1')] ).
cnf(334,plain,
v1_orders_2(k7_lattice3(skc14)),
inference(res,[status(thm),theory(equality)],[6,76]),
[iquote('0:Res:6.0,76.0')] ).
cnf(335,plain,
l1_orders_2(k7_lattice3(skc14)),
inference(res,[status(thm),theory(equality)],[6,77]),
[iquote('0:Res:6.0,77.0')] ).
cnf(484,plain,
~ v3_struct_0(skc14),
inference(mrr,[status(thm)],[315,5]),
[iquote('0:MRR:315.0,5.0')] ).
cnf(485,plain,
v1_yellow_0(k7_lattice3(skc14)),
inference(mrr,[status(thm)],[317,4]),
[iquote('0:MRR:317.0,4.0')] ).
cnf(486,plain,
v2_orders_2(k7_lattice3(skc14)),
inference(mrr,[status(thm)],[318,1]),
[iquote('0:MRR:318.0,1.0')] ).
cnf(487,plain,
v3_orders_2(k7_lattice3(skc14)),
inference(mrr,[status(thm)],[319,2]),
[iquote('0:MRR:319.0,2.0')] ).
cnf(488,plain,
v4_orders_2(k7_lattice3(skc14)),
inference(mrr,[status(thm)],[320,3]),
[iquote('0:MRR:320.0,3.0')] ).
cnf(489,plain,
v1_lattice3(k7_lattice3(skc14)),
inference(mrr,[status(thm)],[321,5]),
[iquote('0:MRR:321.0,5.0')] ).
cnf(517,plain,
equal(k9_waybel_0(skc14),a_1_1_waybel_0(skc14)),
inference(mrr,[status(thm)],[275,1,2,484]),
[iquote('0:MRR:275.0,275.1,275.2,1.0,2.0,484.0')] ).
cnf(518,plain,
v1_waybel_0(skc15,k2_yellow_1(a_1_1_waybel_0(skc14))),
inference(rew,[status(thm),theory(equality)],[517,70]),
[iquote('0:Rew:517.0,70.0')] ).
cnf(519,plain,
m1_subset_1(skc15,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(skc14))))),
inference(rew,[status(thm),theory(equality)],[517,89]),
[iquote('0:Rew:517.0,89.0')] ).
cnf(520,plain,
~ equal(k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(skc14)),skc15),k3_tarski(skc15)),
inference(rew,[status(thm),theory(equality)],[517,103]),
[iquote('0:Rew:517.0,103.0')] ).
cnf(522,plain,
equal(k8_waybel_0(k7_lattice3(skc14)),a_1_1_waybel_0(skc14)),
inference(mrr,[status(thm)],[272,1,2,484]),
[iquote('0:MRR:272.0,272.1,272.2,1.0,2.0,484.0')] ).
cnf(641,plain,
r1_tarski(skc15,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(skc14)))),
inference(res,[status(thm),theory(equality)],[519,101]),
[iquote('0:Res:519.0,101.0')] ).
cnf(2892,plain,
( ~ l1_orders_2(u)
| ~ v1_yellow_0(u)
| ~ v1_lattice3(u)
| ~ v4_orders_2(u)
| ~ v3_orders_2(u)
| ~ v2_orders_2(u)
| ~ r1_tarski(v,u1_struct_0(k2_yellow_1(k8_waybel_0(u))))
| ~ v1_waybel_0(v,k2_yellow_1(k8_waybel_0(u)))
| v1_xboole_0(v)
| equal(k1_yellow_0(k2_yellow_1(k8_waybel_0(u)),v),k3_tarski(v)) ),
inference(res,[status(thm),theory(equality)],[102,234]),
[iquote('0:Res:102.1,234.7')] ).
cnf(7532,plain,
( ~ l1_orders_2(k7_lattice3(skc14))
| ~ v1_yellow_0(k7_lattice3(skc14))
| ~ v1_lattice3(k7_lattice3(skc14))
| ~ v4_orders_2(k7_lattice3(skc14))
| ~ v3_orders_2(k7_lattice3(skc14))
| ~ v2_orders_2(k7_lattice3(skc14))
| ~ r1_tarski(u,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(skc14))))
| ~ v1_waybel_0(u,k2_yellow_1(k8_waybel_0(k7_lattice3(skc14))))
| v1_xboole_0(u)
| equal(k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(skc14))),u),k3_tarski(u)) ),
inference(spl,[status(thm),theory(equality)],[522,2892]),
[iquote('0:SpL:522.0,2892.6')] ).
cnf(7559,plain,
( ~ l1_orders_2(k7_lattice3(skc14))
| ~ v1_yellow_0(k7_lattice3(skc14))
| ~ v1_lattice3(k7_lattice3(skc14))
| ~ v4_orders_2(k7_lattice3(skc14))
| ~ v3_orders_2(k7_lattice3(skc14))
| ~ v2_orders_2(k7_lattice3(skc14))
| ~ r1_tarski(u,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(skc14))))
| ~ v1_waybel_0(u,k2_yellow_1(a_1_1_waybel_0(skc14)))
| v1_xboole_0(u)
| equal(k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(skc14)),u),k3_tarski(u)) ),
inference(rew,[status(thm),theory(equality)],[522,7532]),
[iquote('0:Rew:522.0,7532.9,522.0,7532.7')] ).
cnf(7560,plain,
( ~ r1_tarski(u,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(skc14))))
| ~ v1_waybel_0(u,k2_yellow_1(a_1_1_waybel_0(skc14)))
| v1_xboole_0(u)
| equal(k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(skc14)),u),k3_tarski(u)) ),
inference(ssi,[status(thm)],[7559,334,485,488,489,487,486,335]),
[iquote('0:SSi:7559.5,7559.4,7559.3,7559.2,7559.1,7559.0,334.0,485.0,488.0,489.0,487.0,486.0,335.0,334.0,485.0,488.0,489.0,487.0,486.0,335.0,334.0,485.0,488.0,489.0,487.0,486.0,335.0,334.0,485.0,488.0,489.0,487.0,486.0,335.0,334.0,485.0,488.0,489.0,487.0,486.0,335.0,334.0,485.0,488.0,489.0,487.0,486.0,335.0')] ).
cnf(41271,plain,
( ~ v1_waybel_0(skc15,k2_yellow_1(a_1_1_waybel_0(skc14)))
| v1_xboole_0(skc15)
| equal(k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(skc14)),skc15),k3_tarski(skc15)) ),
inference(res,[status(thm),theory(equality)],[641,7560]),
[iquote('0:Res:641.0,7560.0')] ).
cnf(41275,plain,
$false,
inference(mrr,[status(thm)],[41271,518,57,520]),
[iquote('0:MRR:41271.0,41271.1,41271.2,518.0,57.0,520.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT347+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n014.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 01:02:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 44.13/44.30
% 44.13/44.30 SPASS V 3.9
% 44.13/44.30 SPASS beiseite: Proof found.
% 44.13/44.30 % SZS status Theorem
% 44.13/44.30 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.13/44.30 SPASS derived 31445 clauses, backtracked 2035 clauses, performed 40 splits and kept 14820 clauses.
% 44.13/44.30 SPASS allocated 165949 KBytes.
% 44.13/44.30 SPASS spent 0:0:39.10 on the problem.
% 44.13/44.30 0:00:00.04 for the input.
% 44.13/44.30 0:00:00.05 for the FLOTTER CNF translation.
% 44.13/44.30 0:00:00.67 for inferences.
% 44.13/44.30 0:00:01.50 for the backtracking.
% 44.13/44.30 0:0:36.50 for the reduction.
% 44.13/44.30
% 44.13/44.30
% 44.13/44.30 Here is a proof with depth 3, length 52 :
% 44.13/44.30 % SZS output start Refutation
% See solution above
% 44.13/44.30 Formulae used in the proof : t1_waybel22 dt_k7_lattice3 t3_subset cc2_lattice3 fc10_yellow_7 fc1_yellow_7 fc2_yellow_7 fc3_yellow_7 fc5_yellow_7 d24_waybel_0 t7_waybel16 t9_waybel13
% 44.13/44.30
%------------------------------------------------------------------------------