TSTP Solution File: GEO275+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO275+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 114.71s 114.90s
% Output : Refutation 114.71s
% 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(vd1081),
file('GEO275+1.p',unknown),
[] ).
cnf(10,axiom,
ron(vd1081,skc1),
file('GEO275+1.p',unknown),
[] ).
cnf(11,axiom,
rcenter(vd1080,skc1),
file('GEO275+1.p',unknown),
[] ).
cnf(12,axiom,
ron(vd1081,vd1095),
file('GEO275+1.p',unknown),
[] ).
cnf(13,axiom,
rcenter(vd1080,vd1095),
file('GEO275+1.p',unknown),
[] ).
cnf(24,axiom,
~ equal(skc1,vd1095),
file('GEO275+1.p',unknown),
[] ).
cnf(194,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('GEO275+1.p',unknown),
[] ).
cnf(470,plain,
( ~ rpoint(u)
| ~ rpoint(vd1081)
| ~ equal(vf(v,u),vf(v,vd1081))
| ~ ron(u,w)
| ~ rcenter(v,skc1)
| ~ rcenter(v,w)
| equal(w,skc1) ),
inference(res,[status(thm),theory(equality)],[10,194]),
[iquote('0:Res:10.0,194.4')] ).
cnf(604,plain,
( ~ rpoint(u)
| ~ rcenter(v,w)
| ~ ron(u,w)
| ~ rcenter(v,skc1)
| ~ equal(vf(v,u),vf(v,vd1081))
| equal(w,skc1) ),
inference(mrr,[status(thm)],[470,4]),
[iquote('0:MRR:470.1,4.0')] ).
cnf(47792,plain,
( ~ rpoint(vd1081)
| ~ rcenter(u,v)
| ~ ron(vd1081,v)
| ~ rcenter(u,skc1)
| equal(v,skc1) ),
inference(eqr,[status(thm),theory(equality)],[604]),
[iquote('0:EqR:604.4')] ).
cnf(47929,plain,
( ~ rcenter(u,v)
| ~ ron(vd1081,v)
| ~ rcenter(u,skc1)
| equal(v,skc1) ),
inference(ssi,[status(thm)],[47792,4]),
[iquote('0:SSi:47792.0,4.0')] ).
cnf(48011,plain,
( ~ ron(vd1081,vd1095)
| ~ rcenter(vd1080,skc1)
| equal(skc1,vd1095) ),
inference(res,[status(thm),theory(equality)],[13,47929]),
[iquote('0:Res:13.0,47929.0')] ).
cnf(48014,plain,
$false,
inference(mrr,[status(thm)],[48011,12,11,24]),
[iquote('0:MRR:48011.0,48011.1,48011.2,12.0,11.0,24.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO275+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 18 11:09:28 EDT 2022
% 0.12/0.32 % CPUTime :
% 114.71/114.90
% 114.71/114.90 SPASS V 3.9
% 114.71/114.90 SPASS beiseite: Proof found.
% 114.71/114.90 % SZS status Theorem
% 114.71/114.90 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 114.71/114.90 SPASS derived 33017 clauses, backtracked 0 clauses, performed 5 splits and kept 7921 clauses.
% 114.71/114.90 SPASS allocated 147579 KBytes.
% 114.71/114.90 SPASS spent 0:1:45.67 on the problem.
% 114.71/114.90 0:00:00.04 for the input.
% 114.71/114.90 0:00:01.39 for the FLOTTER CNF translation.
% 114.71/114.90 0:00:00.65 for inferences.
% 114.71/114.90 0:00:01.27 for the backtracking.
% 114.71/114.90 0:1:41.49 for the reduction.
% 114.71/114.90
% 114.71/114.90
% 114.71/114.90 Here is a proof with depth 3, length 13 :
% 114.71/114.90 % SZS output start Refutation
% See solution above
% 114.71/114.91 Formulae used in the proof : qe_a40_s2_a40_plural_a40_224_a41__a41__a41_ qu_a40_theu_a40_the_a40_228_a41__a44__a32_1_a41__a44__a32_imp_a40_the_a40_228_a41__a41__a41_ and_a40_pred_a40_comma_conjunct2_a40_the_a40_228_a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_the_a40_228_a41__a41__a44__a32_0_a41__a44__a32_pred_a40_the_a40_228_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_
% 114.71/114.91
%------------------------------------------------------------------------------