%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO112-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 06:22:26 EDT 2022
% Result : Unsatisfiable 0.46s 0.67s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 8 unt; 1 nHn; 17 RR)
% Number of literals : 36 ( 0 equ; 23 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
between_c(sk15,sk16,sk17,sk18),
file('GEO112-1.p',unknown),
[] ).
cnf(2,axiom,
~ between_c(sk15,sk18,sk17,sk16),
file('GEO112-1.p',unknown),
[] ).
cnf(51,axiom,
( ~ equal(u,v)
| ~ between_c(w,u,x,v) ),
file('GEO112-1.p',unknown),
[] ).
cnf(52,axiom,
( ~ between_c(u,v,w,x)
| part_of(ax1_sk1(x,w,v,u),u) ),
file('GEO112-1.p',unknown),
[] ).
cnf(53,axiom,
( ~ between_c(u,v,w,x)
| end_point(v,ax1_sk1(x,w,v,u)) ),
file('GEO112-1.p',unknown),
[] ).
cnf(54,axiom,
( ~ between_c(u,v,w,x)
| end_point(x,ax1_sk1(x,w,v,u)) ),
file('GEO112-1.p',unknown),
[] ).
cnf(55,axiom,
( ~ between_c(u,v,w,x)
| inner_point(w,ax1_sk1(x,w,v,u)) ),
file('GEO112-1.p',unknown),
[] ).
cnf(56,axiom,
( ~ inner_point(u,v)
| ~ end_point(w,v)
| ~ end_point(x,v)
| ~ part_of(v,y)
| equal(x,w)
| between_c(y,x,u,w) ),
file('GEO112-1.p',unknown),
[] ).
cnf(57,plain,
part_of(ax1_sk1(sk18,sk17,sk16,sk15),sk15),
inference(res,[status(thm),theory(equality)],[1,52]),
[iquote('0:Res:1.0,52.0')] ).
cnf(58,plain,
end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(res,[status(thm),theory(equality)],[1,53]),
[iquote('0:Res:1.0,53.0')] ).
cnf(59,plain,
end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(res,[status(thm),theory(equality)],[1,54]),
[iquote('0:Res:1.0,54.0')] ).
cnf(60,plain,
inner_point(sk17,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(res,[status(thm),theory(equality)],[1,55]),
[iquote('0:Res:1.0,55.0')] ).
cnf(61,plain,
~ equal(sk18,sk16),
inference(res,[status(thm),theory(equality)],[1,51]),
[iquote('0:Res:1.0,51.0')] ).
cnf(62,plain,
( ~ part_of(u,sk15)
| ~ end_point(sk18,u)
| ~ end_point(sk16,u)
| ~ inner_point(sk17,u)
| equal(sk18,sk16) ),
inference(res,[status(thm),theory(equality)],[56,2]),
[iquote('0:Res:56.5,2.0')] ).
cnf(63,plain,
( ~ part_of(u,sk15)
| ~ inner_point(sk17,u)
| ~ end_point(sk16,u)
| ~ end_point(sk18,u) ),
inference(mrr,[status(thm)],[62,61]),
[iquote('0:MRR:62.4,61.0')] ).
cnf(1588,plain,
( ~ part_of(ax1_sk1(sk18,sk17,sk16,sk15),sk15)
| ~ end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15))
| ~ end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15)) ),
inference(res,[status(thm),theory(equality)],[60,63]),
[iquote('0:Res:60.0,63.1')] ).
cnf(1591,plain,
$false,
inference(mrr,[status(thm)],[1588,57,58,59]),
[iquote('0:MRR:1588.0,1588.1,1588.2,57.0,58.0,59.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO112-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n020.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 : Sat Jun 18 06:00:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/0.67
% 0.46/0.67 SPASS V 3.9
% 0.46/0.67 SPASS beiseite: Proof found.
% 0.46/0.67 % SZS status Theorem
% 0.46/0.67 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.67 SPASS derived 1257 clauses, backtracked 0 clauses, performed 3 splits and kept 600 clauses.
% 0.46/0.67 SPASS allocated 76846 KBytes.
% 0.46/0.67 SPASS spent 0:00:00.31 on the problem.
% 0.46/0.67 0:00:00.04 for the input.
% 0.46/0.67 0:00:00.00 for the FLOTTER CNF translation.
% 0.46/0.67 0:00:00.03 for inferences.
% 0.46/0.67 0:00:00.00 for the backtracking.
% 0.46/0.67 0:00:00.22 for the reduction.
% 0.46/0.67
% 0.46/0.67
% 0.46/0.67 Here is a proof with depth 2, length 17 :
% 0.46/0.67 % SZS output start Refutation
% See solution above
% 0.46/0.67 Formulae used in the proof : theorem_3_8_2_77 theorem_3_8_2_78 between_c_defn_1 between_c_defn_2 between_c_defn_3 between_c_defn_4 between_c_defn_5 between_c_defn_6
% 0.46/0.67
%------------------------------------------------------------------------------