TSTP Solution File: GEO307+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO307+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 71.23s 71.42s
% Output : Refutation 71.23s
% 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(vd1306),
file('GEO307+1.p',unknown),
[] ).
cnf(3,axiom,
rpoint(vd1289),
file('GEO307+1.p',unknown),
[] ).
cnf(4,axiom,
rpoint(vd1288),
file('GEO307+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1287),
file('GEO307+1.p',unknown),
[] ).
cnf(6,axiom,
rpoint(vd1300),
file('GEO307+1.p',unknown),
[] ).
cnf(7,axiom,
rline(vd1297),
file('GEO307+1.p',unknown),
[] ).
cnf(8,axiom,
rline(vd1295),
file('GEO307+1.p',unknown),
[] ).
cnf(12,axiom,
equal(vd1300,vd1299),
file('GEO307+1.p',unknown),
[] ).
cnf(20,axiom,
ron(vd1289,vd1297),
file('GEO307+1.p',unknown),
[] ).
cnf(21,axiom,
ron(vd1288,vd1295),
file('GEO307+1.p',unknown),
[] ).
cnf(22,axiom,
ron(vd1306,vd1297),
file('GEO307+1.p',unknown),
[] ).
cnf(25,axiom,
ron(vd1287,vd1295),
file('GEO307+1.p',unknown),
[] ).
cnf(34,axiom,
rR(vd1288,vd1287,vd1299),
file('GEO307+1.p',unknown),
[] ).
cnf(40,axiom,
~ equal(vd1306,vd1287),
file('GEO307+1.p',unknown),
[] ).
cnf(41,axiom,
~ equal(vd1289,vd1287),
file('GEO307+1.p',unknown),
[] ).
cnf(43,axiom,
~ equal(vd1287,vd1288),
file('GEO307+1.p',unknown),
[] ).
cnf(61,axiom,
~ rR(vd1287,vd1289,vd1306),
file('GEO307+1.p',unknown),
[] ).
cnf(62,axiom,
~ rR(vd1287,vd1288,vd1299),
file('GEO307+1.p',unknown),
[] ).
cnf(103,axiom,
~ equal(vangle(vd1288,vd1287,vd1306),vangle(vd1288,vd1287,vd1289)),
file('GEO307+1.p',unknown),
[] ).
cnf(203,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ rR(v,w,u)
| ~ rR(w,x,v)
| rR(w,x,u) ),
file('GEO307+1.p',unknown),
[] ).
cnf(274,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('GEO307+1.p',unknown),
[] ).
cnf(288,plain,
rpoint(vd1299),
inference(rew,[status(thm),theory(equality)],[12,6]),
[iquote('0:Rew:12.0,6.0')] ).
cnf(511,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1288)
| ~ rpoint(vd1289)
| ~ rpoint(vd1288)
| ~ rpoint(vd1306)
| ~ rline(u)
| ~ rline(v)
| ~ ron(vd1288,u)
| ~ ron(vd1306,v)
| ~ ron(vd1289,v)
| ~ ron(vd1287,u)
| ~ ron(vd1288,u)
| rR(vd1287,vd1289,vd1306)
| rR(vd1287,vd1288,vd1288)
| equal(vd1306,vd1287)
| equal(vd1287,vd1288)
| equal(vd1289,vd1287)
| equal(vd1287,vd1288) ),
inference(res,[status(thm),theory(equality)],[274,103]),
[iquote('0:Res:274.18,103.0')] ).
cnf(634,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1288)
| ~ rpoint(vd1306)
| ~ rline(u)
| ~ rline(v)
| ~ ron(vd1306,v)
| ~ ron(vd1289,v)
| ~ ron(vd1287,u)
| ~ ron(vd1288,u)
| rR(vd1287,vd1289,vd1306)
| rR(vd1287,vd1288,vd1288)
| equal(vd1306,vd1287)
| equal(vd1289,vd1287)
| equal(vd1287,vd1288) ),
inference(obv,[status(thm),theory(equality)],[511]),
[iquote('0:Obv:511.15')] ).
cnf(635,plain,
( ~ rline(u)
| ~ rline(v)
| ~ ron(vd1288,v)
| ~ ron(vd1287,v)
| ~ ron(vd1289,u)
| ~ ron(vd1306,u)
| rR(vd1287,vd1288,vd1288) ),
inference(mrr,[status(thm)],[634,5,3,4,1,61,40,41,43]),
[iquote('0:MRR:634.0,634.1,634.2,634.3,634.10,634.12,634.13,634.14,5.0,3.0,4.0,1.0,61.0,40.0,41.0,43.0')] ).
cnf(4026,plain,
( ~ rpoint(vd1299)
| ~ rpoint(vd1288)
| ~ rpoint(vd1287)
| ~ rpoint(u)
| ~ rR(vd1287,u,vd1288)
| rR(vd1287,u,vd1299) ),
inference(res,[status(thm),theory(equality)],[34,203]),
[iquote('0:Res:34.0,203.4')] ).
cnf(4045,plain,
( ~ rpoint(u)
| ~ rR(vd1287,u,vd1288)
| rR(vd1287,u,vd1299) ),
inference(ssi,[status(thm)],[4026,5,4,288]),
[iquote('0:SSi:4026.2,4026.1,4026.0,5.0,4.0,288.0')] ).
cnf(4214,plain,
( ~ rpoint(vd1288)
| ~ rR(vd1287,vd1288,vd1288) ),
inference(res,[status(thm),theory(equality)],[4045,62]),
[iquote('0:Res:4045.2,62.0')] ).
cnf(16942,plain,
~ rR(vd1287,vd1288,vd1288),
inference(ssi,[status(thm)],[4214,4]),
[iquote('0:SSi:4214.0,4.0')] ).
cnf(17015,plain,
( ~ rline(u)
| ~ rline(v)
| ~ ron(vd1288,v)
| ~ ron(vd1287,v)
| ~ ron(vd1289,u)
| ~ ron(vd1306,u) ),
inference(mrr,[status(thm)],[635,16942]),
[iquote('0:MRR:635.6,16942.0')] ).
cnf(20039,plain,
( ~ rline(u)
| ~ rline(vd1295)
| ~ ron(vd1287,vd1295)
| ~ ron(vd1289,u)
| ~ ron(vd1306,u) ),
inference(res,[status(thm),theory(equality)],[21,17015]),
[iquote('0:Res:21.0,17015.2')] ).
cnf(20044,plain,
( ~ rline(u)
| ~ ron(vd1287,vd1295)
| ~ ron(vd1289,u)
| ~ ron(vd1306,u) ),
inference(ssi,[status(thm)],[20039,8]),
[iquote('0:SSi:20039.1,8.0')] ).
cnf(20045,plain,
( ~ rline(u)
| ~ ron(vd1289,u)
| ~ ron(vd1306,u) ),
inference(mrr,[status(thm)],[20044,25]),
[iquote('0:MRR:20044.1,25.0')] ).
cnf(20182,plain,
( ~ rline(vd1297)
| ~ ron(vd1289,vd1297) ),
inference(res,[status(thm),theory(equality)],[22,20045]),
[iquote('0:Res:22.0,20045.2')] ).
cnf(20186,plain,
~ ron(vd1289,vd1297),
inference(ssi,[status(thm)],[20182,7]),
[iquote('0:SSi:20182.0,7.0')] ).
cnf(20187,plain,
$false,
inference(mrr,[status(thm)],[20186,20]),
[iquote('0:MRR:20186.0,20.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO307+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 22:35:37 EDT 2022
% 0.14/0.36 % CPUTime :
% 71.23/71.42
% 71.23/71.42 SPASS V 3.9
% 71.23/71.42 SPASS beiseite: Proof found.
% 71.23/71.42 % SZS status Theorem
% 71.23/71.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 71.23/71.42 SPASS derived 10485 clauses, backtracked 804 clauses, performed 2 splits and kept 6441 clauses.
% 71.23/71.42 SPASS allocated 125520 KBytes.
% 71.23/71.42 SPASS spent 0:01:09.07 on the problem.
% 71.23/71.42 0:00:00.04 for the input.
% 71.23/71.42 0:00:01.90 for the FLOTTER CNF translation.
% 71.23/71.42 0:00:00.38 for inferences.
% 71.23/71.42 0:00:00.31 for the backtracking.
% 71.23/71.42 0:01:06.08 for the reduction.
% 71.23/71.42
% 71.23/71.42
% 71.23/71.42 Here is a proof with depth 3, length 36 :
% 71.23/71.42 % SZS output start Refutation
% See solution above
% 71.23/71.42 Formulae used in the proof : pred_a40_352_a44__a32_0_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_conjunct2_a40_conjunct2_a40_conjunct2_a40_354_a41__a41__a41__a41__a41__a44__a32_0_a41_ pred_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_354_a41__a41__a41__a41__a44__a32_0_a41_ pred_a40_conjunct1_a40_354_a41__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_ holds_a40_conjunct1_a40_conjunct2_a40_353_a41__a41__a44__a32_1309_a44__a32_0_a41_ holds_a40_conjunct1_a40_conjunct2_a40_355_a41__a41__a44__a32_1313_a44__a32_0_a41_ holds_a40_conjunct1_a40_355_a41__a44__a32_1312_a44__a32_0_a41_ neg_a40_neg_a40_conjunct2_a40_356_a41__a41__a41_ neg_a40_neg_a40_356_a41__a41_ holds_a40_357_a44__a32_1316_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_
% 71.23/71.42
%------------------------------------------------------------------------------