TSTP Solution File: GEO278+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO278+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 06:24:07 EDT 2022
% Result : Theorem 244.39s 244.56s
% Output : Refutation 244.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 7 unt; 0 nHn; 13 RR)
% Number of literals : 40 ( 0 equ; 28 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
rpoint(vd1096),
file('GEO278+1.p',unknown),
[] ).
cnf(13,axiom,
ron(vd1096,skc1),
file('GEO278+1.p',unknown),
[] ).
cnf(14,axiom,
rcenter(vd1089,skc1),
file('GEO278+1.p',unknown),
[] ).
cnf(15,axiom,
ron(vd1096,vd1102),
file('GEO278+1.p',unknown),
[] ).
cnf(16,axiom,
rcenter(vd1089,vd1102),
file('GEO278+1.p',unknown),
[] ).
cnf(35,axiom,
~ equal(skc1,vd1102),
file('GEO278+1.p',unknown),
[] ).
cnf(217,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('GEO278+1.p',unknown),
[] ).
cnf(494,plain,
( ~ rpoint(u)
| ~ rpoint(vd1096)
| ~ equal(vf(v,u),vf(v,vd1096))
| ~ ron(u,w)
| ~ rcenter(v,skc1)
| ~ rcenter(v,w)
| equal(w,skc1) ),
inference(res,[status(thm),theory(equality)],[13,217]),
[iquote('0:Res:13.0,217.4')] ).
cnf(628,plain,
( ~ rpoint(u)
| ~ rcenter(v,w)
| ~ ron(u,w)
| ~ rcenter(v,skc1)
| ~ equal(vf(v,u),vf(v,vd1096))
| equal(w,skc1) ),
inference(mrr,[status(thm)],[494,4]),
[iquote('0:MRR:494.1,4.0')] ).
cnf(35569,plain,
( ~ rpoint(vd1096)
| ~ rcenter(u,v)
| ~ ron(vd1096,v)
| ~ rcenter(u,skc1)
| equal(v,skc1) ),
inference(eqr,[status(thm),theory(equality)],[628]),
[iquote('0:EqR:628.4')] ).
cnf(35731,plain,
( ~ rcenter(u,v)
| ~ ron(vd1096,v)
| ~ rcenter(u,skc1)
| equal(v,skc1) ),
inference(ssi,[status(thm)],[35569,4]),
[iquote('0:SSi:35569.0,4.0')] ).
cnf(65663,plain,
( ~ ron(vd1096,vd1102)
| ~ rcenter(vd1089,skc1)
| equal(skc1,vd1102) ),
inference(res,[status(thm),theory(equality)],[16,35731]),
[iquote('0:Res:16.0,35731.0')] ).
cnf(65667,plain,
$false,
inference(mrr,[status(thm)],[65663,15,14,35]),
[iquote('0:MRR:65663.0,65663.1,65663.2,15.0,14.0,35.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO278+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.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 17:50:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 244.39/244.56
% 244.39/244.56 SPASS V 3.9
% 244.39/244.56 SPASS beiseite: Proof found.
% 244.39/244.56 % SZS status Theorem
% 244.39/244.56 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 244.39/244.56 SPASS derived 43094 clauses, backtracked 2882 clauses, performed 4 splits and kept 15267 clauses.
% 244.39/244.56 SPASS allocated 166439 KBytes.
% 244.39/244.56 SPASS spent 0:3:52.62 on the problem.
% 244.39/244.56 0:00:00.04 for the input.
% 244.39/244.56 0:00:01.46 for the FLOTTER CNF translation.
% 244.39/244.56 0:00:01.11 for inferences.
% 244.39/244.56 0:00:00.96 for the backtracking.
% 244.39/244.56 0:3:47.82 for the reduction.
% 244.39/244.56
% 244.39/244.56
% 244.39/244.56 Here is a proof with depth 3, length 13 :
% 244.39/244.56 % SZS output start Refutation
% See solution above
% 244.39/244.56 Formulae used in the proof : pred_a40_229_a44__a32_0_a41_ qu_a40_theu_a40_the_a40_231_a41__a44__a32_1_a41__a44__a32_imp_a40_the_a40_231_a41__a41__a41_ and_a40_pred_a40_comma_conjunct2_a40_the_a40_231_a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_the_a40_231_a41__a41__a44__a32_0_a41__a44__a32_pred_a40_the_a40_231_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_
% 244.39/244.56
%------------------------------------------------------------------------------