TSTP Solution File: GEO320+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO320+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 06:24:18 EDT 2022
% Result : Theorem 83.83s 84.03s
% Output : Refutation 83.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of clauses : 36 ( 23 unt; 3 nHn; 36 RR)
% Number of literals : 120 ( 0 equ; 83 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 : 16 ( 16 usr; 15 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rpoint(vd1329),
file('GEO320+1.p',unknown),
[] ).
cnf(2,axiom,
rpoint(vd1303),
file('GEO320+1.p',unknown),
[] ).
cnf(4,axiom,
rpoint(vd1289),
file('GEO320+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1288),
file('GEO320+1.p',unknown),
[] ).
cnf(6,axiom,
rpoint(vd1287),
file('GEO320+1.p',unknown),
[] ).
cnf(7,axiom,
rline(vd1297),
file('GEO320+1.p',unknown),
[] ).
cnf(8,axiom,
rline(vd1295),
file('GEO320+1.p',unknown),
[] ).
cnf(12,axiom,
equal(vd1303,vd1302),
file('GEO320+1.p',unknown),
[] ).
cnf(19,axiom,
ron(vd1288,vd1295),
file('GEO320+1.p',unknown),
[] ).
cnf(21,axiom,
ron(vd1329,vd1295),
file('GEO320+1.p',unknown),
[] ).
cnf(23,axiom,
ron(vd1289,vd1297),
file('GEO320+1.p',unknown),
[] ).
cnf(24,axiom,
ron(vd1287,vd1297),
file('GEO320+1.p',unknown),
[] ).
cnf(33,axiom,
rR(vd1289,vd1287,vd1302),
file('GEO320+1.p',unknown),
[] ).
cnf(40,axiom,
~ equal(vd1329,vd1287),
file('GEO320+1.p',unknown),
[] ).
cnf(41,axiom,
~ equal(vd1287,vd1289),
file('GEO320+1.p',unknown),
[] ).
cnf(43,axiom,
~ equal(vd1288,vd1287),
file('GEO320+1.p',unknown),
[] ).
cnf(61,axiom,
~ rR(vd1287,vd1288,vd1329),
file('GEO320+1.p',unknown),
[] ).
cnf(62,axiom,
~ rR(vd1287,vd1289,vd1302),
file('GEO320+1.p',unknown),
[] ).
cnf(103,axiom,
~ equal(vangle(vd1289,vd1287,vd1329),vangle(vd1289,vd1287,vd1288)),
file('GEO320+1.p',unknown),
[] ).
cnf(234,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ rR(v,w,u)
| ~ rR(w,x,v)
| rR(w,x,u) ),
file('GEO320+1.p',unknown),
[] ).
cnf(305,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('GEO320+1.p',unknown),
[] ).
cnf(319,plain,
rpoint(vd1302),
inference(rew,[status(thm),theory(equality)],[12,2]),
[iquote('0:Rew:12.0,2.0')] ).
cnf(566,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1288)
| ~ rpoint(vd1289)
| ~ rpoint(vd1329)
| ~ rline(u)
| ~ rline(v)
| ~ ron(vd1289,u)
| ~ ron(vd1329,v)
| ~ ron(vd1288,v)
| ~ ron(vd1287,u)
| ~ ron(vd1289,u)
| rR(vd1287,vd1288,vd1329)
| rR(vd1287,vd1289,vd1289)
| equal(vd1329,vd1287)
| equal(vd1287,vd1289)
| equal(vd1288,vd1287)
| equal(vd1287,vd1289) ),
inference(res,[status(thm),theory(equality)],[305,103]),
[iquote('0:Res:305.18,103.0')] ).
cnf(689,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1288)
| ~ rpoint(vd1289)
| ~ rpoint(vd1329)
| ~ rline(u)
| ~ rline(v)
| ~ ron(vd1329,v)
| ~ ron(vd1288,v)
| ~ ron(vd1287,u)
| ~ ron(vd1289,u)
| rR(vd1287,vd1288,vd1329)
| rR(vd1287,vd1289,vd1289)
| equal(vd1329,vd1287)
| equal(vd1288,vd1287)
| equal(vd1287,vd1289) ),
inference(obv,[status(thm),theory(equality)],[566]),
[iquote('0:Obv:566.15')] ).
cnf(690,plain,
( ~ rline(u)
| ~ rline(v)
| ~ ron(vd1289,v)
| ~ ron(vd1287,v)
| ~ ron(vd1288,u)
| ~ ron(vd1329,u)
| rR(vd1287,vd1289,vd1289) ),
inference(mrr,[status(thm)],[689,6,5,4,1,61,40,43,41]),
[iquote('0:MRR:689.0,689.1,689.2,689.3,689.10,689.12,689.13,689.14,6.0,5.0,4.0,1.0,61.0,40.0,43.0,41.0')] ).
cnf(4005,plain,
( ~ rpoint(vd1302)
| ~ rpoint(vd1289)
| ~ rpoint(vd1287)
| ~ rpoint(u)
| ~ rR(vd1287,u,vd1289)
| rR(vd1287,u,vd1302) ),
inference(res,[status(thm),theory(equality)],[33,234]),
[iquote('0:Res:33.0,234.4')] ).
cnf(4022,plain,
( ~ rpoint(u)
| ~ rR(vd1287,u,vd1289)
| rR(vd1287,u,vd1302) ),
inference(ssi,[status(thm)],[4005,6,4,319]),
[iquote('0:SSi:4005.2,4005.1,4005.0,6.0,4.0,319.0')] ).
cnf(4163,plain,
( ~ rpoint(vd1289)
| ~ rR(vd1287,vd1289,vd1289) ),
inference(res,[status(thm),theory(equality)],[4022,62]),
[iquote('0:Res:4022.2,62.0')] ).
cnf(16053,plain,
~ rR(vd1287,vd1289,vd1289),
inference(ssi,[status(thm)],[4163,4]),
[iquote('0:SSi:4163.0,4.0')] ).
cnf(16112,plain,
( ~ rline(u)
| ~ rline(v)
| ~ ron(vd1289,v)
| ~ ron(vd1287,v)
| ~ ron(vd1288,u)
| ~ ron(vd1329,u) ),
inference(mrr,[status(thm)],[690,16053]),
[iquote('0:MRR:690.6,16053.0')] ).
cnf(19361,plain,
( ~ rline(u)
| ~ rline(vd1297)
| ~ ron(vd1287,vd1297)
| ~ ron(vd1288,u)
| ~ ron(vd1329,u) ),
inference(res,[status(thm),theory(equality)],[23,16112]),
[iquote('0:Res:23.0,16112.2')] ).
cnf(19366,plain,
( ~ rline(u)
| ~ ron(vd1287,vd1297)
| ~ ron(vd1288,u)
| ~ ron(vd1329,u) ),
inference(ssi,[status(thm)],[19361,7]),
[iquote('0:SSi:19361.1,7.0')] ).
cnf(19367,plain,
( ~ rline(u)
| ~ ron(vd1288,u)
| ~ ron(vd1329,u) ),
inference(mrr,[status(thm)],[19366,24]),
[iquote('0:MRR:19366.1,24.0')] ).
cnf(19501,plain,
( ~ rline(vd1295)
| ~ ron(vd1288,vd1295) ),
inference(res,[status(thm),theory(equality)],[21,19367]),
[iquote('0:Res:21.0,19367.2')] ).
cnf(19505,plain,
~ ron(vd1288,vd1295),
inference(ssi,[status(thm)],[19501,8]),
[iquote('0:SSi:19501.0,8.0')] ).
cnf(19506,plain,
$false,
inference(mrr,[status(thm)],[19505,19]),
[iquote('0:MRR:19505.0,19.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO320+1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15 % Command : run_spass %d %s
% 0.15/0.37 % Computer : n027.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Fri Jun 17 22:22:22 EDT 2022
% 0.15/0.37 % CPUTime :
% 83.83/84.03
% 83.83/84.03 SPASS V 3.9
% 83.83/84.03 SPASS beiseite: Proof found.
% 83.83/84.03 % SZS status Theorem
% 83.83/84.03 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 83.83/84.03 SPASS derived 9635 clauses, backtracked 670 clauses, performed 4 splits and kept 6505 clauses.
% 83.83/84.03 SPASS allocated 125438 KBytes.
% 83.83/84.03 SPASS spent 0:1:21.54 on the problem.
% 83.83/84.03 0:00:00.04 for the input.
% 83.83/84.03 0:00:01.86 for the FLOTTER CNF translation.
% 83.83/84.03 0:00:00.38 for inferences.
% 83.83/84.03 0:00:00.44 for the backtracking.
% 83.83/84.03 0:1:18.44 for the reduction.
% 83.83/84.03
% 83.83/84.03
% 83.83/84.03 Here is a proof with depth 3, length 36 :
% 83.83/84.03 % SZS output start Refutation
% See solution above
% 83.83/84.03 Formulae used in the proof : pred_a40_367_a44__a32_0_a41_ 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_347_a44__a32_0_a41_ pred_a40_346_a44__a32_0_a41_ pred_a40_s2_a40_plural_a40_346_a41__a41__a44__a32_0_a41_ pred_a40_s2_a40_plural_a40_370_a41__a41__a44__a32_0_a41_ pred_a40_conjunct2_a40_369_a41__a44__a32_0_a41_ pred_a40_s2_a40_plural_a40_369_a41__a41__a44__a32_0_a41_ holds_a40_conjunct1_a40_conjunct2_a40_368_a41__a41__a44__a32_1332_a44__a32_0_a41_ holds_a40_conjunct1_a40_conjunct2_a40_371_a41__a41__a44__a32_1338_a44__a32_0_a41_ holds_a40_conjunct1_a40_371_a41__a44__a32_1337_a44__a32_0_a41_ neg_a40_neg_a40_conjunct2_a40_372_a41__a41__a41_ neg_a40_neg_a40_372_a41__a41_ holds_a40_373_a44__a32_1341_a44__a32_0_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_194_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_194_a41__a44__a32_0_a41__a41__a41_
% 83.83/84.03
%------------------------------------------------------------------------------