TSTP Solution File: GEO344+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO344+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 06:24:24 EDT 2022
% Result : Theorem 114.48s 114.74s
% Output : Refutation 114.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 16 ( 11 unt; 5 nHn; 16 RR)
% Number of literals : 47 ( 0 equ; 28 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rline(skc1),
file('GEO344+1.p',unknown),
[] ).
cnf(2,axiom,
rline(vd1419),
file('GEO344+1.p',unknown),
[] ).
cnf(4,axiom,
rpoint(vd1409),
file('GEO344+1.p',unknown),
[] ).
cnf(6,axiom,
rpoint(vd1401),
file('GEO344+1.p',unknown),
[] ).
cnf(11,axiom,
ron(vd1409,skc1),
file('GEO344+1.p',unknown),
[] ).
cnf(12,axiom,
ron(vd1401,skc1),
file('GEO344+1.p',unknown),
[] ).
cnf(13,axiom,
ron(vd1409,vd1419),
file('GEO344+1.p',unknown),
[] ).
cnf(14,axiom,
ron(vd1401,vd1419),
file('GEO344+1.p',unknown),
[] ).
cnf(27,axiom,
~ equal(skc1,vd1419),
file('GEO344+1.p',unknown),
[] ).
cnf(28,axiom,
~ equal(vd1401,vd1409),
file('GEO344+1.p',unknown),
[] ).
cnf(217,axiom,
( ~ rline(u)
| ~ rline(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ ron(x,v)
| ~ ron(x,u)
| ~ ron(w,u)
| ~ ron(w,v)
| equal(v,u)
| equal(x,w) ),
file('GEO344+1.p',unknown),
[] ).
cnf(533,plain,
( ~ rpoint(u)
| ~ rpoint(vd1401)
| ~ rline(skc1)
| ~ rline(v)
| ~ ron(vd1401,v)
| ~ ron(u,v)
| ~ ron(u,skc1)
| equal(u,vd1401)
| equal(skc1,v) ),
inference(res,[status(thm),theory(equality)],[12,217]),
[iquote('0:Res:12.0,217.4')] ).
cnf(692,plain,
( ~ rline(u)
| ~ rpoint(v)
| ~ ron(v,u)
| ~ ron(v,skc1)
| ~ ron(vd1401,u)
| equal(v,vd1401)
| equal(skc1,u) ),
inference(mrr,[status(thm)],[533,6,1]),
[iquote('0:MRR:533.1,533.2,6.0,1.0')] ).
cnf(28410,plain,
( ~ rline(vd1419)
| ~ rpoint(vd1409)
| ~ ron(vd1409,skc1)
| ~ ron(vd1401,vd1419)
| equal(vd1401,vd1409)
| equal(skc1,vd1419) ),
inference(res,[status(thm),theory(equality)],[13,692]),
[iquote('0:Res:13.0,692.2')] ).
cnf(28476,plain,
( ~ ron(vd1409,skc1)
| ~ ron(vd1401,vd1419)
| equal(vd1401,vd1409)
| equal(skc1,vd1419) ),
inference(ssi,[status(thm)],[28410,4,2]),
[iquote('0:SSi:28410.1,28410.0,4.0,2.0')] ).
cnf(28477,plain,
$false,
inference(mrr,[status(thm)],[28476,11,14,28,27]),
[iquote('0:MRR:28476.0,28476.1,28476.2,28476.3,11.0,14.0,28.0,27.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO344+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n015.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 16:03:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 114.48/114.74
% 114.48/114.74 SPASS V 3.9
% 114.48/114.74 SPASS beiseite: Proof found.
% 114.48/114.74 % SZS status Theorem
% 114.48/114.74 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 114.48/114.74 SPASS derived 15758 clauses, backtracked 0 clauses, performed 3 splits and kept 7130 clauses.
% 114.48/114.74 SPASS allocated 136749 KBytes.
% 114.48/114.74 SPASS spent 0:1:50.26 on the problem.
% 114.48/114.74 0:00:00.04 for the input.
% 114.48/114.74 0:00:01.99 for the FLOTTER CNF translation.
% 114.48/114.74 0:00:00.50 for inferences.
% 114.48/114.74 0:00:00.25 for the backtracking.
% 114.48/114.74 0:1:46.37 for the reduction.
% 114.48/114.74
% 114.48/114.74
% 114.48/114.74 Here is a proof with depth 2, length 16 :
% 114.48/114.74 % SZS output start Refutation
% See solution above
% 114.48/114.74 Formulae used in the proof : qu_a40_theu_a40_the_a40_409_a41__a44__a32_1_a41__a44__a32_imp_a40_the_a40_409_a41__a41__a41_ and_a40_pred_a40_s2_a40_plural_a40_the_a40_409_a41__a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_s1_a40_plural_a40_the_a40_409_a41__a41__a41__a44__a32_0_a41__a44__a32_pred_a40_the_a40_409_a41__a44__a32_0_a41__a41__a41_ pred_a40_406_a44__a32_0_a41_ and_a40_pred_a40_conjunct2_a40_405_a41__a44__a32_5_a41__a44__a32_and_a40_pred_a40_s2_a40_plural_a40_conjunct2_a40_405_a41__a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_s1_a40_plural_a40_conjunct2_a40_405_a41__a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_conjunct2_a40_405_a41__a44__a32_1_a41__a44__a32_and_a40_pred_a40_conjunct1_a40_405_a41__a44__a32_9_a41__a44__a32_and_a40_pred_a40_conjunct1_a40_405_a41__a44__a32_8_a41__a44__a32_and_a40_pred_a40_conjunct1_a40_405_a41__a44__a32_7_a41__a44__a32_and_a40_qe_a40_s3_a40_plural_a40_405_a41__a41__a41__a44__a32_and_a40_qe_a40_s2_a40_plural_a40_405_a41__a41__a41__a44__a32_qe_a40_s1_a40_plural_a40_405_a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41_ holds_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_406_a41__a41__a41__a44__a32_1413_a44__a32_0_a41_ qu_a40_cond_a40_axiom_a40_73_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_73_a41__a44__a32_0_a41__a41__a41_
% 114.48/114.74
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