TSTP Solution File: GEO308+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO308+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 : Sat Jul 16 06:24:15 EDT 2022
% Result : Theorem 43.61s 43.83s
% Output : Refutation 43.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 24
% Syntax : Number of clauses : 46 ( 26 unt; 3 nHn; 46 RR)
% Number of literals : 160 ( 0 equ; 115 neg)
% Maximal clause size : 19 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 16 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
rpoint(vd1303),
file('GEO308+1.p',unknown),
[] ).
cnf(3,axiom,
rpoint(vd1289),
file('GEO308+1.p',unknown),
[] ).
cnf(4,axiom,
rpoint(vd1288),
file('GEO308+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1287),
file('GEO308+1.p',unknown),
[] ).
cnf(6,axiom,
rpoint(vd1300),
file('GEO308+1.p',unknown),
[] ).
cnf(7,axiom,
rline(vd1297),
file('GEO308+1.p',unknown),
[] ).
cnf(8,axiom,
rline(vd1295),
file('GEO308+1.p',unknown),
[] ).
cnf(11,axiom,
equal(vd1303,vd1302),
file('GEO308+1.p',unknown),
[] ).
cnf(12,axiom,
equal(vd1300,vd1299),
file('GEO308+1.p',unknown),
[] ).
cnf(20,axiom,
ron(vd1289,vd1297),
file('GEO308+1.p',unknown),
[] ).
cnf(24,axiom,
ron(vd1299,vd1295),
file('GEO308+1.p',unknown),
[] ).
cnf(25,axiom,
ron(vd1287,vd1295),
file('GEO308+1.p',unknown),
[] ).
cnf(33,axiom,
rR(vd1289,vd1287,vd1302),
file('GEO308+1.p',unknown),
[] ).
cnf(34,axiom,
rR(vd1288,vd1287,vd1299),
file('GEO308+1.p',unknown),
[] ).
cnf(41,axiom,
~ equal(vd1289,vd1287),
file('GEO308+1.p',unknown),
[] ).
cnf(42,axiom,
~ equal(vd1299,vd1287),
file('GEO308+1.p',unknown),
[] ).
cnf(43,axiom,
~ equal(vd1287,vd1288),
file('GEO308+1.p',unknown),
[] ).
cnf(62,axiom,
~ rR(vd1287,vd1288,vd1299),
file('GEO308+1.p',unknown),
[] ).
cnf(104,axiom,
~ equal(vangle(vd1299,vd1287,vd1289),vangle(vd1288,vd1287,vd1289)),
file('GEO308+1.p',unknown),
[] ).
cnf(159,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rR(v,w,u)
| rR(v,u,w) ),
file('GEO308+1.p',unknown),
[] ).
cnf(166,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rR(w,v,u)
| ~ rR(v,w,u) ),
file('GEO308+1.p',unknown),
[] ).
cnf(204,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ rR(v,w,u)
| ~ rR(w,x,v)
| rR(w,x,u) ),
file('GEO308+1.p',unknown),
[] ).
cnf(211,axiom,
( ~ rline(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ ron(x,u)
| ~ ron(v,u)
| ~ rR(w,x,v)
| ron(w,u) ),
file('GEO308+1.p',unknown),
[] ).
cnf(275,axiom,
( ~ rline(u)
| ~ rline(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ rpoint(y)
| ~ rpoint(z)
| ~ rpoint(x1)
| ~ ron(z,v)
| ~ ron(x1,v)
| ~ ron(y,u)
| ~ ron(w,u)
| ~ ron(x,v)
| equal(z,x1)
| equal(y,x1)
| equal(x,x1)
| equal(w,x1)
| equal(vangle(z,x1,y),vangle(x,x1,w))
| rR(x1,z,x)
| rR(x1,y,w) ),
file('GEO308+1.p',unknown),
[] ).
cnf(289,plain,
rpoint(vd1299),
inference(rew,[status(thm),theory(equality)],[12,6]),
[iquote('0:Rew:12.0,6.0')] ).
cnf(290,plain,
rpoint(vd1302),
inference(rew,[status(thm),theory(equality)],[11,2]),
[iquote('0:Rew:11.0,2.0')] ).
cnf(474,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1288)
| ~ rpoint(vd1289)
| ~ rpoint(vd1299)
| ~ rpoint(vd1289)
| ~ rline(u)
| ~ rline(v)
| ~ ron(vd1299,u)
| ~ ron(vd1289,v)
| ~ ron(vd1289,v)
| ~ ron(vd1287,u)
| ~ ron(vd1288,u)
| rR(vd1287,vd1289,vd1289)
| rR(vd1287,vd1288,vd1299)
| equal(vd1289,vd1287)
| equal(vd1299,vd1287)
| equal(vd1289,vd1287)
| equal(vd1287,vd1288) ),
inference(res,[status(thm),theory(equality)],[275,104]),
[iquote('0:Res:275.18,104.0')] ).
cnf(640,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1288)
| ~ rpoint(vd1299)
| ~ rpoint(vd1289)
| ~ rline(u)
| ~ rline(v)
| ~ ron(vd1299,u)
| ~ ron(vd1289,v)
| ~ ron(vd1287,u)
| ~ ron(vd1288,u)
| rR(vd1287,vd1289,vd1289)
| rR(vd1287,vd1288,vd1299)
| equal(vd1299,vd1287)
| equal(vd1289,vd1287)
| equal(vd1287,vd1288) ),
inference(obv,[status(thm),theory(equality)],[474]),
[iquote('0:Obv:474.14')] ).
cnf(641,plain,
( ~ rline(u)
| ~ rline(v)
| ~ ron(vd1288,v)
| ~ ron(vd1287,v)
| ~ ron(vd1289,u)
| ~ ron(vd1299,v)
| rR(vd1287,vd1289,vd1289) ),
inference(mrr,[status(thm)],[640,5,4,289,3,62,42,41,43]),
[iquote('0:MRR:640.0,640.1,640.2,640.3,640.11,640.12,640.13,640.14,5.0,4.0,289.0,3.0,62.0,42.0,41.0,43.0')] ).
cnf(1229,plain,
( ~ rpoint(vd1302)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rR(vd1287,vd1289,vd1302) ),
inference(res,[status(thm),theory(equality)],[33,166]),
[iquote('0:Res:33.0,166.3')] ).
cnf(1234,plain,
~ rR(vd1287,vd1289,vd1302),
inference(ssi,[status(thm)],[1229,3,5,290]),
[iquote('0:SSi:1229.2,1229.1,1229.0,3.0,5.0,290.0')] ).
cnf(1668,plain,
( ~ rpoint(vd1299)
| ~ rpoint(vd1288)
| ~ rpoint(vd1287)
| rR(vd1288,vd1299,vd1287) ),
inference(res,[status(thm),theory(equality)],[34,159]),
[iquote('0:Res:34.0,159.3')] ).
cnf(1672,plain,
rR(vd1288,vd1299,vd1287),
inference(ssi,[status(thm)],[1668,5,4,289]),
[iquote('0:SSi:1668.2,1668.1,1668.0,5.0,4.0,289.0')] ).
cnf(3789,plain,
( ~ rpoint(vd1302)
| ~ rpoint(vd1289)
| ~ rpoint(vd1287)
| ~ rpoint(u)
| ~ rR(vd1287,u,vd1289)
| rR(vd1287,u,vd1302) ),
inference(res,[status(thm),theory(equality)],[33,204]),
[iquote('0:Res:33.0,204.4')] ).
cnf(3808,plain,
( ~ rpoint(u)
| ~ rR(vd1287,u,vd1289)
| rR(vd1287,u,vd1302) ),
inference(ssi,[status(thm)],[3789,5,3,290]),
[iquote('0:SSi:3789.2,3789.1,3789.0,5.0,3.0,290.0')] ).
cnf(3942,plain,
( ~ rpoint(vd1289)
| ~ rR(vd1287,vd1289,vd1289) ),
inference(res,[status(thm),theory(equality)],[3808,1234]),
[iquote('0:Res:3808.2,1234.0')] ).
cnf(3952,plain,
~ rR(vd1287,vd1289,vd1289),
inference(ssi,[status(thm)],[3942,3]),
[iquote('0:SSi:3942.0,3.0')] ).
cnf(3953,plain,
( ~ rline(u)
| ~ rline(v)
| ~ ron(vd1288,v)
| ~ ron(vd1287,v)
| ~ ron(vd1289,u)
| ~ ron(vd1299,v) ),
inference(mrr,[status(thm)],[641,3952]),
[iquote('0:MRR:641.6,3952.0')] ).
cnf(4163,plain,
( ~ rline(u)
| ~ rpoint(vd1287)
| ~ rpoint(vd1288)
| ~ rpoint(vd1299)
| ~ ron(vd1299,u)
| ~ ron(vd1287,u)
| ron(vd1288,u) ),
inference(res,[status(thm),theory(equality)],[1672,211]),
[iquote('0:Res:1672.0,211.6')] ).
cnf(4177,plain,
( ~ rline(u)
| ~ ron(vd1299,u)
| ~ ron(vd1287,u)
| ron(vd1288,u) ),
inference(ssi,[status(thm)],[4163,289,4,5]),
[iquote('0:SSi:4163.3,4163.2,4163.1,289.0,4.0,5.0')] ).
cnf(4178,plain,
( ~ rline(u)
| ~ rline(v)
| ~ ron(vd1287,v)
| ~ ron(vd1289,u)
| ~ ron(vd1299,v) ),
inference(mrr,[status(thm)],[3953,4177]),
[iquote('0:MRR:3953.2,4177.3')] ).
cnf(12192,plain,
( ~ rline(u)
| ~ rline(vd1295)
| ~ ron(vd1289,u)
| ~ ron(vd1299,vd1295) ),
inference(res,[status(thm),theory(equality)],[25,4178]),
[iquote('0:Res:25.0,4178.2')] ).
cnf(12197,plain,
( ~ rline(u)
| ~ ron(vd1289,u)
| ~ ron(vd1299,vd1295) ),
inference(ssi,[status(thm)],[12192,8]),
[iquote('0:SSi:12192.1,8.0')] ).
cnf(12198,plain,
( ~ rline(u)
| ~ ron(vd1289,u) ),
inference(mrr,[status(thm)],[12197,24]),
[iquote('0:MRR:12197.2,24.0')] ).
cnf(12373,plain,
~ rline(vd1297),
inference(res,[status(thm),theory(equality)],[20,12198]),
[iquote('0:Res:20.0,12198.1')] ).
cnf(12378,plain,
$false,
inference(ssi,[status(thm)],[12373,7]),
[iquote('0:SSi:12373.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO308+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n007.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 : Fri Jun 17 20:02:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 43.61/43.83
% 43.61/43.83 SPASS V 3.9
% 43.61/43.83 SPASS beiseite: Proof found.
% 43.61/43.83 % SZS status Theorem
% 43.61/43.83 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.61/43.83 SPASS derived 5681 clauses, backtracked 98 clauses, performed 2 splits and kept 4237 clauses.
% 43.61/43.83 SPASS allocated 119122 KBytes.
% 43.61/43.83 SPASS spent 0:0:42.58 on the problem.
% 43.61/43.83 0:00:00.04 for the input.
% 43.61/43.83 0:00:01.77 for the FLOTTER CNF translation.
% 43.61/43.83 0:00:00.21 for inferences.
% 43.61/43.83 0:00:00.01 for the backtracking.
% 43.61/43.83 0:0:40.26 for the reduction.
% 43.61/43.83
% 43.61/43.83
% 43.61/43.83 Here is a proof with depth 3, length 46 :
% 43.61/43.83 % SZS output start Refutation
% See solution above
% 43.61/43.83 Formulae used in the proof : and_a40_pred_a40_conjunct2_a40_348_a41__a44__a32_4_a41__a44__a32_and_a40_holds_a40_conjunct2_a40_348_a41__a44__a32_1304_a44__a32_0_a41__a44__a32_and_a40_pred_a40_conjunct2_a40_348_a41__a44__a32_1_a41__a44__a32_holds_a40_conjunct1_a40_348_a41__a44__a32_1301_a44__a32_0_a41__a41__a41__a41_ and_a40_holds_a40_conjunct2_a40_345_a41__a44__a32_1294_a44__a32_0_a41__a44__a32_and_a40_pred_a40_conjunct1_a40_345_a41__a44__a32_9_a41__a44__a32_and_a40_pred_a40_conjunct1_a40_345_a41__a44__a32_8_a41__a44__a32_and_a40_pred_a40_conjunct1_a40_345_a41__a44__a32_7_a41__a44__a32_and_a40_qe_a40_s3_a40_plural_a40_345_a41__a41__a41__a44__a32_and_a40_qe_a40_s2_a40_plural_a40_345_a41__a41__a41__a44__a32_qe_a40_s1_a40_plural_a40_345_a41__a41__a41__a41__a41__a41__a41__a41__a41_ pred_a40_348_a44__a32_1_a41_ pred_a40_347_a44__a32_0_a41_ pred_a40_346_a44__a32_0_a41_ pred_a40_348_a44__a32_4_a41_ pred_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_354_a41__a41__a41__a41__a41__a44__a32_0_a41_ pred_a40_conjunct1_a40_conjunct2_a40_354_a41__a41__a44__a32_0_a41_ pred_a40_conjunct1_a40_354_a41__a44__a32_0_a41_ holds_a40_conjunct1_a40_conjunct2_a40_355_a41__a41__a44__a32_1313_a44__a32_0_a41_ holds_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_353_a41__a41__a41__a44__a32_1311_a44__a32_0_a41_ holds_a40_conjunct1_a40_355_a41__a44__a32_1312_a44__a32_0_a41_ neg_a40_neg_a40_356_a41__a41_ holds_a40_358_a44__a32_1317_a44__a32_0_a41_ qu_a40_cond_a40_axiom_a40_81_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_81_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_89_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_89_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_85_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_85_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_194_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_194_a41__a44__a32_0_a41__a41__a41_
% 43.61/43.83
%------------------------------------------------------------------------------