TSTP Solution File: GEO284+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO284+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 06:24:09 EDT 2022
% Result : Theorem 2.43s 2.65s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 26
% Syntax : Number of clauses : 77 ( 34 unt; 10 nHn; 77 RR)
% Number of literals : 179 ( 0 equ; 110 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rpoint(vd1130),
file('GEO284+1.p',unknown),
[] ).
cnf(2,axiom,
rpoint(vd1128),
file('GEO284+1.p',unknown),
[] ).
cnf(3,axiom,
rpoint(vd1126),
file('GEO284+1.p',unknown),
[] ).
cnf(6,axiom,
rpoint(vd14),
file('GEO284+1.p',unknown),
[] ).
cnf(7,axiom,
equal(vd1123,vd1129),
file('GEO284+1.p',unknown),
[] ).
cnf(8,axiom,
equal(vd1129,vd1130),
file('GEO284+1.p',unknown),
[] ).
cnf(9,axiom,
equal(vd1127,vd1128),
file('GEO284+1.p',unknown),
[] ).
cnf(10,axiom,
equal(vd1126,vd1125),
file('GEO284+1.p',unknown),
[] ).
cnf(11,axiom,
equal(vd1123,vd1124),
file('GEO284+1.p',unknown),
[] ).
cnf(12,axiom,
rpoint(skf51(u)),
file('GEO284+1.p',unknown),
[] ).
cnf(14,axiom,
rpoint(skf55(u)),
file('GEO284+1.p',unknown),
[] ).
cnf(15,axiom,
rpoint(skf58(u)),
file('GEO284+1.p',unknown),
[] ).
cnf(18,axiom,
~ equal(vd1127,vd1129),
file('GEO284+1.p',unknown),
[] ).
cnf(19,axiom,
~ equal(vd1123,vd1125),
file('GEO284+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ rcenter(u,v)
| rcircle(v) ),
file('GEO284+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ rcircle(u)
| rinside(skf55(u),u) ),
file('GEO284+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ rcircle(u)
| ron(skf58(u),u) ),
file('GEO284+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ rcircle(u)
| ~ rinside(skf51(u),u) ),
file('GEO284+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| rcircle(skf41(w,x))
| equal(v,u) ),
file('GEO284+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| rline(skf43(w,x))
| equal(v,u) ),
file('GEO284+1.p',unknown),
[] ).
cnf(113,axiom,
( ~ rcircle(u)
| ~ rpoint(v)
| ~ rinside(v,u)
| ~ ron(v,u) ),
file('GEO284+1.p',unknown),
[] ).
cnf(114,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(v,u)
| ron(u,skf41(v,u)) ),
file('GEO284+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(v,u)
| rcenter(v,skf41(v,w)) ),
file('GEO284+1.p',unknown),
[] ).
cnf(116,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(v,u)
| ron(u,skf43(v,u)) ),
file('GEO284+1.p',unknown),
[] ).
cnf(117,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(v,u)
| ron(v,skf43(v,w)) ),
file('GEO284+1.p',unknown),
[] ).
cnf(171,axiom,
( ~ rcircle(u)
| ~ rline(v)
| ~ ron(vd1127,u)
| ~ ron(vd1125,v)
| ~ ron(vd1123,v)
| ~ rcenter(vd1123,u) ),
file('GEO284+1.p',unknown),
[] ).
cnf(273,plain,
rpoint(vd1125),
inference(rew,[status(thm),theory(equality)],[10,3]),
[iquote('0:Rew:10.0,3.0')] ).
cnf(274,plain,
equal(vd1124,vd1130),
inference(rew,[status(thm),theory(equality)],[11,7,8]),
[iquote('0:Rew:11.0,7.0,8.0,7.0')] ).
cnf(276,plain,
equal(vd1123,vd1130),
inference(rew,[status(thm),theory(equality)],[274,11]),
[iquote('0:Rew:274.0,11.0')] ).
cnf(277,plain,
~ equal(vd1130,vd1125),
inference(rew,[status(thm),theory(equality)],[276,19]),
[iquote('0:Rew:276.0,19.0')] ).
cnf(278,plain,
~ equal(vd1128,vd1130),
inference(rew,[status(thm),theory(equality)],[9,18,8]),
[iquote('0:Rew:9.0,18.0,8.0,18.0')] ).
cnf(317,plain,
( ~ rcircle(u)
| ~ rline(v)
| ~ ron(vd1128,u)
| ~ ron(vd1125,v)
| ~ ron(vd1130,v)
| ~ rcenter(vd1130,u) ),
inference(rew,[status(thm),theory(equality)],[276,171,9]),
[iquote('0:Rew:276.0,171.5,276.0,171.4,9.0,171.2')] ).
cnf(318,plain,
( ~ rline(u)
| ~ rcenter(vd1130,v)
| ~ ron(vd1130,u)
| ~ ron(vd1125,u)
| ~ ron(vd1128,v) ),
inference(mrr,[status(thm)],[317,45]),
[iquote('0:MRR:317.0,45.1')] ).
cnf(338,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(v,u) ),
inference(spt,[spt(split,[position(s1)])],[105]),
[iquote('1:Spt:105.0,105.1,105.3')] ).
cnf(340,plain,
( ~ rpoint(u)
| equal(u,vd14) ),
inference(ems,[status(thm)],[338,6]),
[iquote('1:EmS:338.0,6.0')] ).
cnf(432,plain,
equal(vd14,vd1125),
inference(ems,[status(thm)],[340,273]),
[iquote('1:EmS:340.0,273.0')] ).
cnf(433,plain,
equal(vd14,vd1130),
inference(ems,[status(thm)],[340,1]),
[iquote('1:EmS:340.0,1.0')] ).
cnf(438,plain,
equal(vd1130,vd1125),
inference(rew,[status(thm),theory(equality)],[432,433]),
[iquote('1:Rew:432.0,433.0')] ).
cnf(439,plain,
$false,
inference(mrr,[status(thm)],[438,277]),
[iquote('1:MRR:438.0,277.0')] ).
cnf(620,plain,
rcircle(skf41(u,v)),
inference(spt,[spt(split,[position(s2)])],[105]),
[iquote('1:Spt:439.0,105.2')] ).
cnf(622,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(v,u) ),
inference(spt,[spt(split,[position(s2s1)])],[109]),
[iquote('2:Spt:109.0,109.1,109.3')] ).
cnf(623,plain,
( ~ rpoint(u)
| equal(u,vd1125) ),
inference(ems,[status(thm)],[622,273]),
[iquote('2:EmS:622.0,273.0')] ).
cnf(707,plain,
equal(skf55(u),vd1125),
inference(ems,[status(thm)],[623,14]),
[iquote('2:EmS:623.0,14.0')] ).
cnf(708,plain,
equal(skf51(u),vd1125),
inference(ems,[status(thm)],[623,12]),
[iquote('2:EmS:623.0,12.0')] ).
cnf(732,plain,
( ~ rcircle(u)
| rinside(vd1125,u) ),
inference(rew,[status(thm),theory(equality)],[707,66]),
[iquote('2:Rew:707.0,66.1')] ).
cnf(736,plain,
( ~ rcircle(u)
| ~ rinside(vd1125,u) ),
inference(rew,[status(thm),theory(equality)],[708,78]),
[iquote('2:Rew:708.0,78.1')] ).
cnf(826,plain,
~ rcircle(u),
inference(mrr,[status(thm)],[736,732]),
[iquote('2:MRR:736.1,732.1')] ).
cnf(827,plain,
$false,
inference(unc,[status(thm)],[826,620]),
[iquote('2:UnC:826.0,620.0')] ).
cnf(886,plain,
rline(skf43(u,v)),
inference(spt,[spt(split,[position(s2s2)])],[109]),
[iquote('2:Spt:827.0,109.2')] ).
cnf(887,plain,
( ~ rline(u)
| ~ ron(vd1130,u)
| ~ ron(vd1125,u) ),
inference(spt,[spt(split,[position(s2s2s1)])],[318]),
[iquote('3:Spt:318.0,318.2,318.3')] ).
cnf(940,plain,
( ~ rcircle(u)
| ~ rcircle(u)
| ~ rpoint(skf55(u))
| ~ ron(skf55(u),u) ),
inference(res,[status(thm),theory(equality)],[66,113]),
[iquote('0:Res:66.1,113.2')] ).
cnf(943,plain,
( ~ rcircle(u)
| ~ rpoint(skf55(u))
| ~ ron(skf55(u),u) ),
inference(obv,[status(thm),theory(equality)],[940]),
[iquote('0:Obv:940.0')] ).
cnf(944,plain,
( ~ rcircle(u)
| ~ ron(skf55(u),u) ),
inference(ssi,[status(thm)],[943,14]),
[iquote('0:SSi:943.1,14.0')] ).
cnf(1041,plain,
( ~ rpoint(skf58(u))
| ~ rpoint(v)
| ~ rcircle(u)
| ron(v,skf43(v,w))
| ron(v,u) ),
inference(spr,[status(thm),theory(equality)],[117,67]),
[iquote('0:SpR:117.2,67.1')] ).
cnf(1105,plain,
( ~ rpoint(skf55(u))
| ~ rpoint(v)
| ~ rcircle(u)
| ~ ron(v,u)
| ron(v,skf43(v,w)) ),
inference(spl,[status(thm),theory(equality)],[117,944]),
[iquote('0:SpL:117.2,944.1')] ).
cnf(1143,plain,
( ~ rpoint(u)
| ~ rcircle(v)
| ron(u,skf43(u,w))
| ron(u,v) ),
inference(ssi,[status(thm)],[1041,15]),
[iquote('0:SSi:1041.0,15.0')] ).
cnf(1150,plain,
( ~ rpoint(u)
| ~ rcircle(v)
| ~ ron(u,v)
| ron(u,skf43(u,w)) ),
inference(ssi,[status(thm)],[1105,14]),
[iquote('0:SSi:1105.0,14.0')] ).
cnf(1151,plain,
( ~ rpoint(u)
| ~ rcircle(v)
| ron(u,skf43(u,w)) ),
inference(mrr,[status(thm)],[1150,1143]),
[iquote('0:MRR:1150.2,1143.3')] ).
cnf(1174,plain,
( ~ rpoint(u)
| ron(u,skf43(u,v)) ),
inference(ems,[status(thm)],[1151,620]),
[iquote('1:EmS:1151.1,620.0')] ).
cnf(1175,plain,
( ~ rpoint(vd1130)
| ~ rline(skf43(vd1130,u))
| ~ ron(vd1125,skf43(vd1130,u)) ),
inference(res,[status(thm),theory(equality)],[1174,887]),
[iquote('3:Res:1174.1,887.1')] ).
cnf(1178,plain,
~ ron(vd1125,skf43(vd1130,u)),
inference(ssi,[status(thm)],[1175,886,1]),
[iquote('3:SSi:1175.1,1175.0,886.0,1.0,1.0')] ).
cnf(1179,plain,
( ~ rpoint(vd1125)
| ~ rpoint(vd1130)
| equal(vd1130,vd1125) ),
inference(res,[status(thm),theory(equality)],[116,1178]),
[iquote('3:Res:116.3,1178.0')] ).
cnf(1180,plain,
equal(vd1130,vd1125),
inference(ssi,[status(thm)],[1179,1,273]),
[iquote('3:SSi:1179.1,1179.0,1.0,273.0')] ).
cnf(1181,plain,
$false,
inference(mrr,[status(thm)],[1180,277]),
[iquote('3:MRR:1180.0,277.0')] ).
cnf(1182,plain,
( ~ rcenter(vd1130,u)
| ~ ron(vd1128,u) ),
inference(spt,[spt(split,[position(s2s2s2)])],[318]),
[iquote('3:Spt:1181.0,318.1,318.4')] ).
cnf(1284,plain,
( ~ rpoint(skf58(u))
| ~ rpoint(v)
| ~ rcircle(u)
| rcenter(v,skf41(v,w))
| ron(v,u) ),
inference(spr,[status(thm),theory(equality)],[115,67]),
[iquote('0:SpR:115.2,67.1')] ).
cnf(1354,plain,
( ~ rpoint(skf55(u))
| ~ rpoint(v)
| ~ rcircle(u)
| ~ ron(v,u)
| rcenter(v,skf41(v,w)) ),
inference(spl,[status(thm),theory(equality)],[115,944]),
[iquote('0:SpL:115.2,944.1')] ).
cnf(1398,plain,
( ~ rpoint(u)
| ~ rcircle(v)
| rcenter(u,skf41(u,w))
| ron(u,v) ),
inference(ssi,[status(thm)],[1284,15]),
[iquote('0:SSi:1284.0,15.0')] ).
cnf(1406,plain,
( ~ rpoint(u)
| ~ rcircle(v)
| ~ ron(u,v)
| rcenter(u,skf41(u,w)) ),
inference(ssi,[status(thm)],[1354,14]),
[iquote('0:SSi:1354.0,14.0')] ).
cnf(1407,plain,
( ~ rpoint(u)
| ~ rcircle(v)
| rcenter(u,skf41(u,w)) ),
inference(mrr,[status(thm)],[1406,1398]),
[iquote('0:MRR:1406.2,1398.3')] ).
cnf(1430,plain,
( ~ rpoint(vd1128)
| ~ rpoint(u)
| ~ rcenter(vd1130,skf41(u,vd1128))
| equal(u,vd1128) ),
inference(res,[status(thm),theory(equality)],[114,1182]),
[iquote('3:Res:114.3,1182.1')] ).
cnf(1432,plain,
( ~ rpoint(u)
| ~ rcenter(vd1130,skf41(u,vd1128))
| equal(u,vd1128) ),
inference(ssi,[status(thm)],[1430,2]),
[iquote('3:SSi:1430.0,2.0')] ).
cnf(1435,plain,
( ~ rpoint(u)
| rcenter(u,skf41(u,v)) ),
inference(ems,[status(thm)],[1407,620]),
[iquote('1:EmS:1407.1,620.0')] ).
cnf(1583,plain,
( ~ rpoint(vd1130)
| ~ rpoint(vd1130)
| equal(vd1128,vd1130) ),
inference(res,[status(thm),theory(equality)],[1435,1432]),
[iquote('3:Res:1435.1,1432.1')] ).
cnf(1587,plain,
( ~ rpoint(vd1130)
| equal(vd1128,vd1130) ),
inference(obv,[status(thm),theory(equality)],[1583]),
[iquote('3:Obv:1583.0')] ).
cnf(1588,plain,
equal(vd1128,vd1130),
inference(ssi,[status(thm)],[1587,1]),
[iquote('3:SSi:1587.0,1.0')] ).
cnf(1589,plain,
$false,
inference(mrr,[status(thm)],[1588,278]),
[iquote('3:MRR:1588.0,278.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO284+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n019.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 : Sat Jun 18 11:05:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.43/2.65
% 2.43/2.65 SPASS V 3.9
% 2.43/2.65 SPASS beiseite: Proof found.
% 2.43/2.65 % SZS status Theorem
% 2.43/2.65 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.43/2.65 SPASS derived 1029 clauses, backtracked 334 clauses, performed 5 splits and kept 997 clauses.
% 2.43/2.65 SPASS allocated 109983 KBytes.
% 2.43/2.65 SPASS spent 0:00:02.30 on the problem.
% 2.43/2.65 0:00:00.05 for the input.
% 2.43/2.65 0:00:01.72 for the FLOTTER CNF translation.
% 2.43/2.65 0:00:00.01 for inferences.
% 2.43/2.65 0:00:00.00 for the backtracking.
% 2.43/2.65 0:00:00.47 for the reduction.
% 2.43/2.65
% 2.43/2.65
% 2.43/2.65 Here is a proof with depth 5, length 77 :
% 2.43/2.65 % SZS output start Refutation
% See solution above
% 2.43/2.65 Formulae used in the proof : and_a40_and_a40_and_a40_and_a40_holds_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_242_a41__a41__a41__a41__a41__a41__a44__a32_1133_a44__a32_0_a41__a44__a32_and_a40_holds_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_242_a41__a41__a41__a41__a41__a41__a44__a32_1132_a44__a32_0_a41__a44__a32_and_a40_holds_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_242_a41__a41__a41__a41__a41__a44__a32_1131_a44__a32_0_a41__a44__a32_and_a40_pred_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_242_a41__a41__a41__a41__a44__a32_2_a41__a44__a32_pred_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_242_a41__a41__a41__a41__a44__a32_1_a41__a41__a41__a41__a41__a44__a32_and_a40_pred_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_242_a41__a41__a41__a44__a32_2_a41__a44__a32_pred_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_242_a41__a41__a41__a44__a32_1_a41__a41__a41__a44__a32_and_a40_pred_a40_conjunct1_a40_conjunct2_a40_242_a41__a41__a44__a32_2_a41__a44__a32_pred_a40_conjunct1_a40_conjunct2_a40_242_a41__a41__a44__a32_1_a41__a41__a41__a44__a32_and_a40_pred_a40_conjunct1_a40_242_a41__a44__a32_2_a41__a44__a32_pred_a40_conjunct1_a40_242_a41__a44__a32_1_a41__a41__a41_ pred_a40_axiom_a40_5_a41__a44__a32_0_a41_ holds_a40_258_a44__a32_1150_a44__a32_0_a41_ qu_a40_cond_a40_axiom_a40_49_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_49_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_47_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_47_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_41_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_41_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_1_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_1_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_53_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_53_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_51_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_51_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_79_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_79_a41__a44__a32_0_a41__a41__a41_ qe_a40_259_a41_
% 2.43/2.65
%------------------------------------------------------------------------------