%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO271+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 06:24:05 EDT 2022
% Result : Theorem 51.05s 51.21s
% Output : Refutation 51.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 10 unt; 0 nHn; 17 RR)
% Number of literals : 45 ( 0 equ; 32 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
rpoint(vd1058),
file('GEO271+1.p',unknown),
[] ).
cnf(7,axiom,
ron(vd1057,skc1),
file('GEO271+1.p',unknown),
[] ).
cnf(8,axiom,
rcenter(vd1055,skc1),
file('GEO271+1.p',unknown),
[] ).
cnf(9,axiom,
ron(vd1057,vd1061),
file('GEO271+1.p',unknown),
[] ).
cnf(10,axiom,
rcenter(vd1055,vd1061),
file('GEO271+1.p',unknown),
[] ).
cnf(11,axiom,
equal(vd1058,vd1057),
file('GEO271+1.p',unknown),
[] ).
cnf(19,axiom,
~ equal(skc1,vd1061),
file('GEO271+1.p',unknown),
[] ).
cnf(188,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('GEO271+1.p',unknown),
[] ).
cnf(239,plain,
rpoint(vd1057),
inference(rew,[status(thm),theory(equality)],[11,3]),
[iquote('0:Rew:11.0,3.0')] ).
cnf(11243,plain,
( ~ rpoint(u)
| ~ rpoint(u)
| ~ rcenter(v,w)
| ~ rcenter(v,x)
| ~ ron(u,x)
| ~ ron(u,w)
| equal(w,x) ),
inference(eqr,[status(thm),theory(equality)],[188]),
[iquote('0:EqR:188.6')] ).
cnf(11338,plain,
( ~ rpoint(u)
| ~ rcenter(v,w)
| ~ rcenter(v,x)
| ~ ron(u,x)
| ~ ron(u,w)
| equal(w,x) ),
inference(obv,[status(thm),theory(equality)],[11243]),
[iquote('0:Obv:11243.0')] ).
cnf(27295,plain,
( ~ rpoint(u)
| ~ rcenter(vd1055,v)
| ~ ron(u,v)
| ~ ron(u,vd1061)
| equal(vd1061,v) ),
inference(res,[status(thm),theory(equality)],[10,11338]),
[iquote('0:Res:10.0,11338.1')] ).
cnf(29480,plain,
( ~ rpoint(u)
| ~ ron(u,skc1)
| ~ ron(u,vd1061)
| equal(skc1,vd1061) ),
inference(res,[status(thm),theory(equality)],[8,27295]),
[iquote('0:Res:8.0,27295.1')] ).
cnf(29482,plain,
( ~ rpoint(u)
| ~ ron(u,skc1)
| ~ ron(u,vd1061) ),
inference(mrr,[status(thm)],[29480,19]),
[iquote('0:MRR:29480.3,19.0')] ).
cnf(29494,plain,
( ~ rpoint(vd1057)
| ~ ron(vd1057,vd1061) ),
inference(res,[status(thm),theory(equality)],[7,29482]),
[iquote('0:Res:7.0,29482.1')] ).
cnf(29547,plain,
~ ron(vd1057,vd1061),
inference(ssi,[status(thm)],[29494,239]),
[iquote('0:SSi:29494.0,239.0')] ).
cnf(29548,plain,
$false,
inference(mrr,[status(thm)],[29547,9]),
[iquote('0:MRR:29547.0,9.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO271+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 22:16:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 51.05/51.21
% 51.05/51.21 SPASS V 3.9
% 51.05/51.21 SPASS beiseite: Proof found.
% 51.05/51.21 % SZS status Theorem
% 51.05/51.21 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.05/51.21 SPASS derived 18573 clauses, backtracked 0 clauses, performed 4 splits and kept 5423 clauses.
% 51.05/51.21 SPASS allocated 131665 KBytes.
% 51.05/51.21 SPASS spent 0:0:46.96 on the problem.
% 51.05/51.21 0:00:00.04 for the input.
% 51.05/51.21 0:00:01.50 for the FLOTTER CNF translation.
% 51.05/51.21 0:00:00.39 for inferences.
% 51.05/51.21 0:00:00.03 for the backtracking.
% 51.05/51.21 0:0:44.28 for the reduction.
% 51.05/51.21
% 51.05/51.21
% 51.05/51.21 Here is a proof with depth 4, length 17 :
% 51.05/51.21 % SZS output start Refutation
% See solution above
% 51.05/51.21 Formulae used in the proof : and_a40_pred_a40_conjunct2_a40_210_a41__a44__a32_4_a41__a44__a32_and_a40_holds_a40_conjunct2_a40_210_a41__a44__a32_1059_a44__a32_0_a41__a44__a32_and_a40_pred_a40_conjunct2_a40_210_a41__a44__a32_1_a41__a44__a32_and_a40_pred_a40_conjunct1_a40_210_a41__a44__a32_2_a41__a44__a32_pred_a40_conjunct1_a40_210_a41__a44__a32_1_a41__a41__a41__a41__a41_ qu_a40_theu_a40_the_a40_211_a41__a44__a32_1_a41__a44__a32_imp_a40_the_a40_211_a41__a41__a41_ and_a40_pred_a40_comma_conjunct2_a40_the_a40_211_a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_the_a40_211_a41__a41__a44__a32_0_a41__a44__a32_pred_a40_the_a40_211_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_
% 51.05/51.21
%------------------------------------------------------------------------------