TSTP Solution File: GEO272+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO272+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 06:24:06 EDT 2022
% Result : Theorem 51.44s 51.69s
% Output : Refutation 51.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of clauses : 58 ( 19 unt; 0 nHn; 58 RR)
% Number of literals : 196 ( 0 equ; 141 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
rcircle(vd1063),
file('GEO272+1.p',unknown),
[] ).
cnf(4,axiom,
rpoint(vd1058),
file('GEO272+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1056),
file('GEO272+1.p',unknown),
[] ).
cnf(8,axiom,
ron(vd1055,skc1),
file('GEO272+1.p',unknown),
[] ).
cnf(9,axiom,
rcenter(vd1057,skc1),
file('GEO272+1.p',unknown),
[] ).
cnf(10,axiom,
ron(vd1055,vd1063),
file('GEO272+1.p',unknown),
[] ).
cnf(11,axiom,
rcenter(vd1057,vd1063),
file('GEO272+1.p',unknown),
[] ).
cnf(12,axiom,
equal(vskolem1061,vd1060),
file('GEO272+1.p',unknown),
[] ).
cnf(13,axiom,
ron(vd1057,vskolem1061),
file('GEO272+1.p',unknown),
[] ).
cnf(14,axiom,
rcenter(vd1055,vskolem1061),
file('GEO272+1.p',unknown),
[] ).
cnf(15,axiom,
equal(vd1058,vd1057),
file('GEO272+1.p',unknown),
[] ).
cnf(16,axiom,
equal(vd1056,vd1055),
file('GEO272+1.p',unknown),
[] ).
cnf(20,axiom,
rpoint(skf60(u)),
file('GEO272+1.p',unknown),
[] ).
cnf(23,axiom,
~ equal(skc1,vd1063),
file('GEO272+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ rcenter(u,v)
| rpoint(u) ),
file('GEO272+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ rcircle(u)
| ron(skf60(u),u) ),
file('GEO272+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(vf(v,u),vf(u,v)) ),
file('GEO272+1.p',unknown),
[] ).
cnf(162,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ ron(v,w)
| ~ ron(u,w)
| ~ rcenter(x,w)
| equal(vf(x,v),vf(x,u)) ),
file('GEO272+1.p',unknown),
[] ).
cnf(163,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ ron(u,w)
| ~ rcenter(x,w)
| ~ equal(vf(x,v),vf(x,u))
| ron(v,w) ),
file('GEO272+1.p',unknown),
[] ).
cnf(195,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rcenter(w,x)
| ~ rcenter(w,y)
| ~ ron(u,y)
| ~ ron(v,x)
| ~ equal(vf(w,v),vf(w,u))
| equal(x,y) ),
file('GEO272+1.p',unknown),
[] ).
cnf(243,plain,
rpoint(vd1055),
inference(rew,[status(thm),theory(equality)],[16,5]),
[iquote('0:Rew:16.0,5.0')] ).
cnf(244,plain,
rpoint(vd1057),
inference(rew,[status(thm),theory(equality)],[15,4]),
[iquote('0:Rew:15.0,4.0')] ).
cnf(246,plain,
rcenter(vd1055,vd1060),
inference(rew,[status(thm),theory(equality)],[12,14]),
[iquote('0:Rew:12.0,14.0')] ).
cnf(247,plain,
ron(vd1057,vd1060),
inference(rew,[status(thm),theory(equality)],[12,13]),
[iquote('0:Rew:12.0,13.0')] ).
cnf(450,plain,
( ~ rpoint(u)
| ~ rpoint(vd1055)
| ~ rcenter(v,skc1)
| ~ equal(vf(v,u),vf(v,vd1055))
| ron(u,skc1) ),
inference(res,[status(thm),theory(equality)],[8,163]),
[iquote('0:Res:8.0,163.3')] ).
cnf(571,plain,
( ~ rpoint(u)
| ~ rcenter(v,skc1)
| ~ equal(vf(v,u),vf(v,vd1055))
| ron(u,skc1) ),
inference(mrr,[status(thm)],[450,243]),
[iquote('0:MRR:450.1,243.0')] ).
cnf(1376,plain,
( ~ rpoint(u)
| ~ rpoint(vd1055)
| ~ rpoint(v)
| ~ rcenter(u,skc1)
| ~ equal(vf(u,v),vf(vd1055,u))
| ron(v,skc1) ),
inference(spl,[status(thm),theory(equality)],[85,571]),
[iquote('0:SpL:85.2,571.2')] ).
cnf(1377,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rcenter(u,skc1)
| ~ equal(vf(u,v),vf(vd1055,u))
| ron(v,skc1) ),
inference(ssi,[status(thm)],[1376,243]),
[iquote('0:SSi:1376.1,243.0')] ).
cnf(1378,plain,
( ~ rpoint(u)
| ~ rcenter(v,skc1)
| ~ equal(vf(v,u),vf(vd1055,v))
| ron(u,skc1) ),
inference(mrr,[status(thm)],[1377,56]),
[iquote('0:MRR:1377.0,56.1')] ).
cnf(2328,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(v)
| ~ rcenter(u,skc1)
| ~ equal(vf(v,u),vf(vd1055,u))
| ron(v,skc1) ),
inference(spl,[status(thm),theory(equality)],[85,1378]),
[iquote('0:SpL:85.2,1378.2')] ).
cnf(2346,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rcenter(u,skc1)
| ~ equal(vf(v,u),vf(vd1055,u))
| ron(v,skc1) ),
inference(obv,[status(thm),theory(equality)],[2328]),
[iquote('0:Obv:2328.1')] ).
cnf(2347,plain,
( ~ rpoint(u)
| ~ rcenter(v,skc1)
| ~ equal(vf(u,v),vf(vd1055,v))
| ron(u,skc1) ),
inference(mrr,[status(thm)],[2346,56]),
[iquote('0:MRR:2346.0,56.1')] ).
cnf(3738,plain,
( ~ rpoint(u)
| ~ rpoint(vd1055)
| ~ ron(u,vd1063)
| ~ rcenter(v,vd1063)
| equal(vf(v,vd1055),vf(v,u)) ),
inference(res,[status(thm),theory(equality)],[10,162]),
[iquote('0:Res:10.0,162.2')] ).
cnf(3740,plain,
( ~ rpoint(u)
| ~ rpoint(vd1057)
| ~ ron(u,vd1060)
| ~ rcenter(v,vd1060)
| equal(vf(v,vd1057),vf(v,u)) ),
inference(res,[status(thm),theory(equality)],[247,162]),
[iquote('0:Res:247.0,162.2')] ).
cnf(3788,plain,
( ~ rpoint(u)
| ~ ron(u,vd1060)
| ~ rcenter(v,vd1060)
| equal(vf(v,vd1057),vf(v,u)) ),
inference(ssi,[status(thm)],[3740,244]),
[iquote('0:SSi:3740.1,244.0')] ).
cnf(3789,plain,
( ~ rpoint(u)
| ~ ron(u,vd1063)
| ~ rcenter(v,vd1063)
| equal(vf(v,vd1055),vf(v,u)) ),
inference(ssi,[status(thm)],[3738,243]),
[iquote('0:SSi:3738.1,243.0')] ).
cnf(3868,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(vd1057)
| ~ ron(u,vd1060)
| ~ rcenter(v,vd1060)
| equal(vf(vd1057,v),vf(v,u)) ),
inference(spr,[status(thm),theory(equality)],[3788,85]),
[iquote('0:SpR:3788.3,85.2')] ).
cnf(3980,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ ron(u,vd1060)
| ~ rcenter(v,vd1060)
| equal(vf(vd1057,v),vf(v,u)) ),
inference(ssi,[status(thm)],[3868,244]),
[iquote('0:SSi:3868.2,244.0')] ).
cnf(3981,plain,
( ~ rpoint(u)
| ~ ron(u,vd1060)
| ~ rcenter(v,vd1060)
| equal(vf(vd1057,v),vf(v,u)) ),
inference(mrr,[status(thm)],[3980,56]),
[iquote('0:MRR:3980.1,56.1')] ).
cnf(5927,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(u)
| ~ ron(u,vd1063)
| ~ rcenter(v,vd1063)
| equal(vf(u,v),vf(v,vd1055)) ),
inference(spr,[status(thm),theory(equality)],[3789,85]),
[iquote('0:SpR:3789.3,85.2')] ).
cnf(6081,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ ron(v,vd1063)
| ~ rcenter(u,vd1063)
| equal(vf(v,u),vf(u,vd1055)) ),
inference(obv,[status(thm),theory(equality)],[5927]),
[iquote('0:Obv:5927.0')] ).
cnf(6082,plain,
( ~ rpoint(u)
| ~ ron(u,vd1063)
| ~ rcenter(v,vd1063)
| equal(vf(u,v),vf(v,vd1055)) ),
inference(mrr,[status(thm)],[6081,56]),
[iquote('0:MRR:6081.0,56.1')] ).
cnf(6846,plain,
( ~ rpoint(u)
| ~ rpoint(u)
| ~ ron(u,vd1060)
| ~ rcenter(v,vd1060)
| ~ ron(u,vd1060)
| ~ rcenter(v,vd1060)
| equal(vf(v,vd1057),vf(vd1057,v)) ),
inference(spr,[status(thm),theory(equality)],[3981,3788]),
[iquote('0:SpR:3981.3,3788.3')] ).
cnf(7057,plain,
( ~ rpoint(u)
| ~ ron(u,vd1060)
| ~ rcenter(v,vd1060)
| equal(vf(v,vd1057),vf(vd1057,v)) ),
inference(obv,[status(thm),theory(equality)],[6846]),
[iquote('0:Obv:6846.3')] ).
cnf(8427,plain,
( ~ rpoint(u)
| ~ rpoint(u)
| ~ rcenter(v,w)
| ~ rcenter(v,x)
| ~ ron(u,x)
| ~ ron(u,w)
| equal(w,x) ),
inference(eqr,[status(thm),theory(equality)],[195]),
[iquote('0:EqR:195.6')] ).
cnf(8486,plain,
( ~ rpoint(u)
| ~ rcenter(v,w)
| ~ rcenter(v,x)
| ~ ron(u,x)
| ~ ron(u,w)
| equal(w,x) ),
inference(obv,[status(thm),theory(equality)],[8427]),
[iquote('0:Obv:8427.0')] ).
cnf(8582,plain,
( ~ rpoint(vd1057)
| ~ rcenter(u,vd1060)
| equal(vf(u,vd1057),vf(vd1057,u)) ),
inference(res,[status(thm),theory(equality)],[247,7057]),
[iquote('0:Res:247.0,7057.1')] ).
cnf(8613,plain,
( ~ rcenter(u,vd1060)
| equal(vf(u,vd1057),vf(vd1057,u)) ),
inference(ssi,[status(thm)],[8582,244]),
[iquote('0:SSi:8582.0,244.0')] ).
cnf(8929,plain,
( ~ rpoint(u)
| ~ ron(u,vd1063)
| ~ rcenter(vd1057,vd1063)
| ~ rcenter(vd1055,vd1060)
| equal(vf(vd1055,vd1057),vf(u,vd1057)) ),
inference(spr,[status(thm),theory(equality)],[6082,8613]),
[iquote('0:SpR:6082.3,8613.1')] ).
cnf(9068,plain,
( ~ rpoint(u)
| ~ ron(u,vd1063)
| equal(vf(vd1055,vd1057),vf(u,vd1057)) ),
inference(mrr,[status(thm)],[8929,11,246]),
[iquote('0:MRR:8929.2,8929.3,11.0,246.0')] ).
cnf(9348,plain,
( ~ rpoint(u)
| ~ rpoint(u)
| ~ ron(u,vd1063)
| ~ rcenter(vd1057,skc1)
| ~ equal(vf(vd1055,vd1057),vf(vd1055,vd1057))
| ron(u,skc1) ),
inference(spl,[status(thm),theory(equality)],[9068,2347]),
[iquote('0:SpL:9068.2,2347.2')] ).
cnf(9411,plain,
( ~ rpoint(u)
| ~ ron(u,vd1063)
| ~ rcenter(vd1057,skc1)
| ron(u,skc1) ),
inference(obv,[status(thm),theory(equality)],[9348]),
[iquote('0:Obv:9348.4')] ).
cnf(9412,plain,
( ~ rpoint(u)
| ~ ron(u,vd1063)
| ron(u,skc1) ),
inference(mrr,[status(thm)],[9411,9]),
[iquote('0:MRR:9411.2,9.0')] ).
cnf(29548,plain,
( ~ rpoint(u)
| ~ rcenter(vd1057,v)
| ~ ron(u,v)
| ~ ron(u,vd1063)
| equal(vd1063,v) ),
inference(res,[status(thm),theory(equality)],[11,8486]),
[iquote('0:Res:11.0,8486.1')] ).
cnf(32025,plain,
( ~ rpoint(u)
| ~ ron(u,skc1)
| ~ ron(u,vd1063)
| equal(skc1,vd1063) ),
inference(res,[status(thm),theory(equality)],[9,29548]),
[iquote('0:Res:9.0,29548.1')] ).
cnf(32027,plain,
( ~ rpoint(u)
| ~ ron(u,vd1063) ),
inference(mrr,[status(thm)],[32025,9412,23]),
[iquote('0:MRR:32025.1,32025.3,9412.2,23.0')] ).
cnf(32032,plain,
( ~ rcircle(vd1063)
| ~ rpoint(skf60(vd1063)) ),
inference(res,[status(thm),theory(equality)],[64,32027]),
[iquote('0:Res:64.1,32027.1')] ).
cnf(32067,plain,
$false,
inference(ssi,[status(thm)],[32032,20,2]),
[iquote('0:SSi:32032.1,32032.0,20.0,2.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO272+1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.10 % Command : run_spass %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sat Jun 18 18:21:17 EDT 2022
% 0.10/0.30 % CPUTime :
% 51.44/51.69
% 51.44/51.69 SPASS V 3.9
% 51.44/51.69 SPASS beiseite: Proof found.
% 51.44/51.69 % SZS status Theorem
% 51.44/51.69 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.44/51.69 SPASS derived 21626 clauses, backtracked 0 clauses, performed 3 splits and kept 4634 clauses.
% 51.44/51.69 SPASS allocated 132430 KBytes.
% 51.44/51.69 SPASS spent 0:0:45.83 on the problem.
% 51.44/51.69 0:00:00.04 for the input.
% 51.44/51.69 0:00:01.48 for the FLOTTER CNF translation.
% 51.44/51.69 0:00:00.37 for inferences.
% 51.44/51.69 0:00:00.01 for the backtracking.
% 51.44/51.69 0:0:43.21 for the reduction.
% 51.44/51.69
% 51.44/51.69
% 51.44/51.69 Here is a proof with depth 6, length 58 :
% 51.44/51.69 % SZS output start Refutation
% See solution above
% 51.44/51.69 Formulae used in the proof : and_a40_pred_a40_comma_conjunct2_a40_the_a40_212_a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_the_a40_212_a41__a41__a44__a32_0_a41__a44__a32_pred_a40_the_a40_212_a41__a44__a32_0_a41__a41__a41_ and_a40_pred_a40_conjunct2_a40_210_a41__a44__a32_4_a41__a44__a32_and_a40_holds_a40_conjunct2_a40_210_a41__a44__a32_1059_a44__a32_0_a41__a44__a32_and_a40_pred_a40_conjunct2_a40_210_a41__a44__a32_1_a41__a44__a32_and_a40_pred_a40_conjunct1_a40_210_a41__a44__a32_2_a41__a44__a32_pred_a40_conjunct1_a40_210_a41__a44__a32_1_a41__a41__a41__a41__a41_ qu_a40_theu_a40_the_a40_212_a41__a44__a32_1_a41__a44__a32_imp_a40_the_a40_212_a41__a41__a41_ replace_a40_pred_a40_211_a44__a32_2_a41__a41_ replace_a40_replace_a40_and_a40_pred_a40_comma_conjunct2_a40_the_a40_211_a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_the_a40_211_a41__a41__a44__a32_0_a41__a44__a32_pred_a40_the_a40_211_a41__a44__a32_0_a41__a41__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_ pred_a40_axiom_a40_5_a41__a44__a32_0_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_166_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_166_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_184_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_184_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_182_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_182_a41__a44__a32_0_a41__a41__a41_
% 51.44/51.69
%------------------------------------------------------------------------------