TSTP Solution File: GEO299+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO299+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 06:24:13 EDT 2022
% Result : Theorem 44.74s 44.93s
% Output : Refutation 44.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 11 unt; 0 nHn; 16 RR)
% Number of literals : 29 ( 0 equ; 18 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
rpoint(vd1201),
file('GEO299+1.p',unknown),
[] ).
cnf(6,axiom,
rpoint(vd1187),
file('GEO299+1.p',unknown),
[] ).
cnf(8,axiom,
rpoint(vd1185),
file('GEO299+1.p',unknown),
[] ).
cnf(30,axiom,
equal(vd1199,vd1185),
file('GEO299+1.p',unknown),
[] ).
cnf(38,axiom,
rR(vd1201,vd1185,vd1187),
file('GEO299+1.p',unknown),
[] ).
cnf(88,axiom,
equal(vf(vd1199,vd1201),vf(vd1185,vd1187)),
file('GEO299+1.p',unknown),
[] ).
cnf(126,axiom,
~ equal(vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),vf(vd1185,vd1187)),
file('GEO299+1.p',unknown),
[] ).
cnf(212,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rR(v,w,u)
| equal(vplus(vf(w,v),vf(v,u)),vf(w,u)) ),
file('GEO299+1.p',unknown),
[] ).
cnf(302,plain,
equal(vf(vd1185,vd1201),vf(vd1185,vd1187)),
inference(rew,[status(thm),theory(equality)],[30,88]),
[iquote('0:Rew:30.0,88.0')] ).
cnf(315,plain,
~ equal(vplus(vf(vd1185,vd1187),vf(vd1201,vd1187)),vf(vd1185,vd1187)),
inference(rew,[status(thm),theory(equality)],[302,126]),
[iquote('0:Rew:302.0,126.0')] ).
cnf(2634,plain,
( ~ rpoint(u)
| ~ rpoint(vd1201)
| ~ rpoint(vd1185)
| ~ rR(vd1201,vd1185,u)
| equal(vplus(vf(vd1185,vd1187),vf(vd1201,u)),vf(vd1185,u)) ),
inference(spr,[status(thm),theory(equality)],[302,212]),
[iquote('0:SpR:302.0,212.4')] ).
cnf(2680,plain,
( ~ rpoint(u)
| ~ rR(vd1201,vd1185,u)
| equal(vplus(vf(vd1185,vd1187),vf(vd1201,u)),vf(vd1185,u)) ),
inference(ssi,[status(thm)],[2634,8,3]),
[iquote('0:SSi:2634.2,2634.1,8.0,3.0')] ).
cnf(15202,plain,
( ~ rpoint(vd1187)
| ~ rR(vd1201,vd1185,vd1187)
| ~ equal(vf(vd1185,vd1187),vf(vd1185,vd1187)) ),
inference(spl,[status(thm),theory(equality)],[2680,315]),
[iquote('0:SpL:2680.2,315.0')] ).
cnf(15208,plain,
( ~ rpoint(vd1187)
| ~ rR(vd1201,vd1185,vd1187) ),
inference(obv,[status(thm),theory(equality)],[15202]),
[iquote('0:Obv:15202.2')] ).
cnf(15209,plain,
~ rR(vd1201,vd1185,vd1187),
inference(ssi,[status(thm)],[15208,6]),
[iquote('0:SSi:15208.0,6.0')] ).
cnf(15210,plain,
$false,
inference(mrr,[status(thm)],[15209,38]),
[iquote('0:MRR:15209.0,38.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO299+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 14:38:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 44.74/44.93
% 44.74/44.93 SPASS V 3.9
% 44.74/44.93 SPASS beiseite: Proof found.
% 44.74/44.93 % SZS status Theorem
% 44.74/44.93 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.74/44.93 SPASS derived 7563 clauses, backtracked 90 clauses, performed 3 splits and kept 4655 clauses.
% 44.74/44.93 SPASS allocated 120887 KBytes.
% 44.74/44.93 SPASS spent 0:0:43.63 on the problem.
% 44.74/44.93 0:00:00.04 for the input.
% 44.74/44.93 0:00:01.55 for the FLOTTER CNF translation.
% 44.74/44.93 0:00:00.25 for inferences.
% 44.74/44.93 0:00:00.08 for the backtracking.
% 44.74/44.93 0:0:41.49 for the reduction.
% 44.74/44.93
% 44.74/44.93
% 44.74/44.93 Here is a proof with depth 2, length 16 :
% 44.74/44.93 % SZS output start Refutation
% See solution above
% 44.74/44.93 Formulae used in the proof : qe_a40_s3_a40_plural_a40_271_a41__a41__a41_ and_a40_neg_a40_neg_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a41__a41__a41__a44__a32_and_a40_holds_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a41__a44__a32_1194_a44__a32_0_a41__a44__a32_and_a40_holds_a40_conjunct1_a40_conjunct2_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a44__a32_1193_a44__a32_0_a41__a44__a32_and_a40_holds_a40_conjunct1_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a44__a32_1192_a44__a32_0_a41__a44__a32_and_a40_qe_a40_s3_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a44__a32_and_a40_qe_a40_s2_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a44__a32_and_a40_qe_a40_s1_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_268_a41__a44__a32_9_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_268_a41__a44__a32_8_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_268_a41__a44__a32_7_a41__a44__a32_and_a40_qe_a40_s3_a40_plural_a40_268_a41__a41__a41__a44__a32_and_a40_qe_a40_s2_a40_plural_a40_268_a41__a41__a41__a44__a32_qe_a40_s1_a40_plural_a40_268_a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41_ holds_a40_291_a44__a32_1230_a44__a32_0_a41_ holds_a40_323_a44__a32_1254_a44__a32_0_a41_ holds_a40_314_a44__a32_1247_a44__a32_0_a41_ holds_a40_324_a44__a32_1255_a44__a32_0_a41_ qu_a40_cond_a40_axiom_a40_180_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_180_a41__a44__a32_0_a41__a41__a41_
% 44.74/44.93
%------------------------------------------------------------------------------