TSTP Solution File: GEO321+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO321+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 48.29s 48.47s
% Output : Refutation 48.29s
% 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('GEO321+1.p',unknown),
[] ).
cnf(3,axiom,
rpoint(vd1300),
file('GEO321+1.p',unknown),
[] ).
cnf(4,axiom,
rpoint(vd1289),
file('GEO321+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1288),
file('GEO321+1.p',unknown),
[] ).
cnf(6,axiom,
rpoint(vd1287),
file('GEO321+1.p',unknown),
[] ).
cnf(7,axiom,
rline(vd1297),
file('GEO321+1.p',unknown),
[] ).
cnf(8,axiom,
rline(vd1295),
file('GEO321+1.p',unknown),
[] ).
cnf(11,axiom,
equal(vd1300,vd1299),
file('GEO321+1.p',unknown),
[] ).
cnf(12,axiom,
equal(vd1303,vd1302),
file('GEO321+1.p',unknown),
[] ).
cnf(15,axiom,
ron(vd1302,vd1297),
file('GEO321+1.p',unknown),
[] ).
cnf(19,axiom,
ron(vd1288,vd1295),
file('GEO321+1.p',unknown),
[] ).
cnf(24,axiom,
ron(vd1287,vd1297),
file('GEO321+1.p',unknown),
[] ).
cnf(33,axiom,
rR(vd1289,vd1287,vd1302),
file('GEO321+1.p',unknown),
[] ).
cnf(34,axiom,
rR(vd1288,vd1287,vd1299),
file('GEO321+1.p',unknown),
[] ).
cnf(41,axiom,
~ equal(vd1287,vd1289),
file('GEO321+1.p',unknown),
[] ).
cnf(42,axiom,
~ equal(vd1302,vd1287),
file('GEO321+1.p',unknown),
[] ).
cnf(43,axiom,
~ equal(vd1288,vd1287),
file('GEO321+1.p',unknown),
[] ).
cnf(62,axiom,
~ rR(vd1287,vd1289,vd1302),
file('GEO321+1.p',unknown),
[] ).
cnf(104,axiom,
~ equal(vangle(vd1302,vd1287,vd1288),vangle(vd1289,vd1287,vd1288)),
file('GEO321+1.p',unknown),
[] ).
cnf(189,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rR(v,w,u)
| rR(v,u,w) ),
file('GEO321+1.p',unknown),
[] ).
cnf(196,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rR(w,v,u)
| ~ rR(v,w,u) ),
file('GEO321+1.p',unknown),
[] ).
cnf(235,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ rR(v,w,u)
| ~ rR(w,x,v)
| rR(w,x,u) ),
file('GEO321+1.p',unknown),
[] ).
cnf(242,axiom,
( ~ rline(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ ron(x,u)
| ~ ron(v,u)
| ~ rR(w,x,v)
| ron(w,u) ),
file('GEO321+1.p',unknown),
[] ).
cnf(306,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('GEO321+1.p',unknown),
[] ).
cnf(320,plain,
rpoint(vd1302),
inference(rew,[status(thm),theory(equality)],[12,2]),
[iquote('0:Rew:12.0,2.0')] ).
cnf(321,plain,
rpoint(vd1299),
inference(rew,[status(thm),theory(equality)],[11,3]),
[iquote('0:Rew:11.0,3.0')] ).
cnf(505,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1288)
| ~ rpoint(vd1302)
| ~ rpoint(vd1288)
| ~ rline(u)
| ~ rline(v)
| ~ ron(vd1302,u)
| ~ ron(vd1288,v)
| ~ ron(vd1288,v)
| ~ ron(vd1287,u)
| ~ ron(vd1289,u)
| rR(vd1287,vd1288,vd1288)
| rR(vd1287,vd1289,vd1302)
| equal(vd1288,vd1287)
| equal(vd1302,vd1287)
| equal(vd1288,vd1287)
| equal(vd1287,vd1289) ),
inference(res,[status(thm),theory(equality)],[306,104]),
[iquote('0:Res:306.18,104.0')] ).
cnf(671,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1302)
| ~ rpoint(vd1288)
| ~ rline(u)
| ~ rline(v)
| ~ ron(vd1302,u)
| ~ ron(vd1288,v)
| ~ ron(vd1287,u)
| ~ ron(vd1289,u)
| rR(vd1287,vd1288,vd1288)
| rR(vd1287,vd1289,vd1302)
| equal(vd1302,vd1287)
| equal(vd1288,vd1287)
| equal(vd1287,vd1289) ),
inference(obv,[status(thm),theory(equality)],[505]),
[iquote('0:Obv:505.14')] ).
cnf(672,plain,
( ~ rline(u)
| ~ rline(v)
| ~ ron(vd1289,v)
| ~ ron(vd1287,v)
| ~ ron(vd1288,u)
| ~ ron(vd1302,v)
| rR(vd1287,vd1288,vd1288) ),
inference(mrr,[status(thm)],[671,6,4,320,5,62,42,43,41]),
[iquote('0:MRR:671.0,671.1,671.2,671.3,671.11,671.12,671.13,671.14,6.0,4.0,320.0,5.0,62.0,42.0,43.0,41.0')] ).
cnf(1291,plain,
( ~ rpoint(vd1299)
| ~ rpoint(vd1287)
| ~ rpoint(vd1288)
| ~ rR(vd1287,vd1288,vd1299) ),
inference(res,[status(thm),theory(equality)],[34,196]),
[iquote('0:Res:34.0,196.3')] ).
cnf(1297,plain,
~ rR(vd1287,vd1288,vd1299),
inference(ssi,[status(thm)],[1291,5,6,321]),
[iquote('0:SSi:1291.2,1291.1,1291.0,5.0,6.0,321.0')] ).
cnf(1613,plain,
( ~ rpoint(vd1302)
| ~ rpoint(vd1289)
| ~ rpoint(vd1287)
| rR(vd1289,vd1302,vd1287) ),
inference(res,[status(thm),theory(equality)],[33,189]),
[iquote('0:Res:33.0,189.3')] ).
cnf(1617,plain,
rR(vd1289,vd1302,vd1287),
inference(ssi,[status(thm)],[1613,6,4,320]),
[iquote('0:SSi:1613.2,1613.1,1613.0,6.0,4.0,320.0')] ).
cnf(4096,plain,
( ~ rpoint(vd1299)
| ~ rpoint(vd1288)
| ~ rpoint(vd1287)
| ~ rpoint(u)
| ~ rR(vd1287,u,vd1288)
| rR(vd1287,u,vd1299) ),
inference(res,[status(thm),theory(equality)],[34,235]),
[iquote('0:Res:34.0,235.4')] ).
cnf(4115,plain,
( ~ rpoint(u)
| ~ rR(vd1287,u,vd1288)
| rR(vd1287,u,vd1299) ),
inference(ssi,[status(thm)],[4096,6,5,321]),
[iquote('0:SSi:4096.2,4096.1,4096.0,6.0,5.0,321.0')] ).
cnf(4249,plain,
( ~ rpoint(vd1288)
| ~ rR(vd1287,vd1288,vd1288) ),
inference(res,[status(thm),theory(equality)],[4115,1297]),
[iquote('0:Res:4115.2,1297.0')] ).
cnf(4259,plain,
~ rR(vd1287,vd1288,vd1288),
inference(ssi,[status(thm)],[4249,5]),
[iquote('0:SSi:4249.0,5.0')] ).
cnf(4260,plain,
( ~ rline(u)
| ~ rline(v)
| ~ ron(vd1289,v)
| ~ ron(vd1287,v)
| ~ ron(vd1288,u)
| ~ ron(vd1302,v) ),
inference(mrr,[status(thm)],[672,4259]),
[iquote('0:MRR:672.6,4259.0')] ).
cnf(4466,plain,
( ~ rline(u)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1302)
| ~ ron(vd1302,u)
| ~ ron(vd1287,u)
| ron(vd1289,u) ),
inference(res,[status(thm),theory(equality)],[1617,242]),
[iquote('0:Res:1617.0,242.6')] ).
cnf(4480,plain,
( ~ rline(u)
| ~ ron(vd1302,u)
| ~ ron(vd1287,u)
| ron(vd1289,u) ),
inference(ssi,[status(thm)],[4466,320,4,6]),
[iquote('0:SSi:4466.3,4466.2,4466.1,320.0,4.0,6.0')] ).
cnf(4481,plain,
( ~ rline(u)
| ~ rline(v)
| ~ ron(vd1287,v)
| ~ ron(vd1288,u)
| ~ ron(vd1302,v) ),
inference(mrr,[status(thm)],[4260,4480]),
[iquote('0:MRR:4260.2,4480.3')] ).
cnf(12491,plain,
( ~ rline(u)
| ~ rline(vd1297)
| ~ ron(vd1288,u)
| ~ ron(vd1302,vd1297) ),
inference(res,[status(thm),theory(equality)],[24,4481]),
[iquote('0:Res:24.0,4481.2')] ).
cnf(12496,plain,
( ~ rline(u)
| ~ ron(vd1288,u)
| ~ ron(vd1302,vd1297) ),
inference(ssi,[status(thm)],[12491,7]),
[iquote('0:SSi:12491.1,7.0')] ).
cnf(12497,plain,
( ~ rline(u)
| ~ ron(vd1288,u) ),
inference(mrr,[status(thm)],[12496,15]),
[iquote('0:MRR:12496.2,15.0')] ).
cnf(12673,plain,
~ rline(vd1295),
inference(res,[status(thm),theory(equality)],[19,12497]),
[iquote('0:Res:19.0,12497.1')] ).
cnf(12678,plain,
$false,
inference(ssi,[status(thm)],[12673,8]),
[iquote('0:SSi:12673.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO321+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 18:35:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 48.29/48.47
% 48.29/48.47 SPASS V 3.9
% 48.29/48.47 SPASS beiseite: Proof found.
% 48.29/48.47 % SZS status Theorem
% 48.29/48.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.29/48.47 SPASS derived 5815 clauses, backtracked 107 clauses, performed 6 splits and kept 4342 clauses.
% 48.29/48.47 SPASS allocated 119338 KBytes.
% 48.29/48.47 SPASS spent 0:0:47.04 on the problem.
% 48.29/48.47 0:00:00.04 for the input.
% 48.29/48.47 0:00:01.77 for the FLOTTER CNF translation.
% 48.29/48.47 0:00:00.21 for inferences.
% 48.29/48.47 0:00:00.04 for the backtracking.
% 48.29/48.47 0:0:44.70 for the reduction.
% 48.29/48.47
% 48.29/48.47
% 48.29/48.47 Here is a proof with depth 3, length 46 :
% 48.29/48.47 % SZS output start Refutation
% See solution above
% 48.29/48.47 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_ pred_a40_348_a44__a32_1_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_348_a44__a32_4_a41_ pred_a40_conjunct2_a40_349_a41__a44__a32_0_a41_ pred_a40_s2_a40_plural_a40_346_a41__a41__a44__a32_0_a41_ pred_a40_s2_a40_plural_a40_369_a41__a41__a44__a32_0_a41_ holds_a40_conjunct1_a40_conjunct2_a40_371_a41__a41__a44__a32_1338_a44__a32_0_a41_ holds_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_368_a41__a41__a41__a44__a32_1334_a44__a32_0_a41_ holds_a40_conjunct1_a40_371_a41__a44__a32_1337_a44__a32_0_a41_ neg_a40_neg_a40_372_a41__a41_ holds_a40_374_a44__a32_1342_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_
% 48.29/48.47
%------------------------------------------------------------------------------