TSTP Solution File: GEO342+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO342+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 06:24:23 EDT 2022
% Result : Theorem 2.23s 2.48s
% Output : Refutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 6 unt; 3 nHn; 14 RR)
% Number of literals : 34 ( 0 equ; 20 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
rpoint(vd1401),
file('GEO342+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1399),
file('GEO342+1.p',unknown),
[] ).
cnf(20,axiom,
~ equal(vd1401,vd1399),
file('GEO342+1.p',unknown),
[] ).
cnf(22,axiom,
rline(skf45(u,v)),
file('GEO342+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ rline(u)
| ~ ron(vd1399,u)
| ~ ron(vd1401,u) ),
file('GEO342+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(v,u)
| ron(u,skf45(v,u)) ),
file('GEO342+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(v,u)
| ron(v,skf45(v,u)) ),
file('GEO342+1.p',unknown),
[] ).
cnf(297,plain,
( ~ ron(vd1399,skf45(u,v))
| ~ ron(vd1401,skf45(u,v)) ),
inference(res,[status(thm),theory(equality)],[22,84]),
[iquote('0:Res:22.0,84.0')] ).
cnf(406,plain,
( ~ rpoint(u)
| ~ rpoint(vd1401)
| ~ ron(vd1399,skf45(vd1401,u))
| equal(vd1401,u) ),
inference(res,[status(thm),theory(equality)],[93,297]),
[iquote('0:Res:93.3,297.1')] ).
cnf(407,plain,
( ~ rpoint(u)
| ~ ron(vd1399,skf45(vd1401,u))
| equal(vd1401,u) ),
inference(ssi,[status(thm)],[406,3]),
[iquote('0:SSi:406.1,3.0')] ).
cnf(411,plain,
( ~ rpoint(vd1399)
| ~ rpoint(vd1401)
| ~ rpoint(vd1399)
| equal(vd1401,vd1399)
| equal(vd1401,vd1399) ),
inference(res,[status(thm),theory(equality)],[92,407]),
[iquote('0:Res:92.3,407.1')] ).
cnf(412,plain,
( ~ rpoint(vd1401)
| ~ rpoint(vd1399)
| equal(vd1401,vd1399) ),
inference(obv,[status(thm),theory(equality)],[411]),
[iquote('0:Obv:411.3')] ).
cnf(413,plain,
equal(vd1401,vd1399),
inference(ssi,[status(thm)],[412,5,3]),
[iquote('0:SSi:412.1,412.0,5.0,3.0')] ).
cnf(414,plain,
$false,
inference(mrr,[status(thm)],[413,20]),
[iquote('0:MRR:413.0,20.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO342+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n029.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 00:08:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.23/2.48
% 2.23/2.48 SPASS V 3.9
% 2.23/2.48 SPASS beiseite: Proof found.
% 2.23/2.48 % SZS status Theorem
% 2.23/2.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.23/2.48 SPASS derived 90 clauses, backtracked 0 clauses, performed 0 splits and kept 294 clauses.
% 2.23/2.48 SPASS allocated 110569 KBytes.
% 2.23/2.48 SPASS spent 0:00:02.12 on the problem.
% 2.23/2.48 0:00:00.04 for the input.
% 2.23/2.48 0:00:01.90 for the FLOTTER CNF translation.
% 2.23/2.48 0:00:00.00 for inferences.
% 2.23/2.48 0:00:00.00 for the backtracking.
% 2.23/2.48 0:00:00.13 for the reduction.
% 2.23/2.48
% 2.23/2.48
% 2.23/2.48 Here is a proof with depth 3, length 14 :
% 2.23/2.48 % SZS output start Refutation
% See solution above
% 2.23/2.48 Formulae used in the proof : 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_ 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_ qe_a40_thee_a40_the_a40_408_a41__a44__a32_1_a41__a41_
% 2.23/2.48
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