%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO085-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 06:22:11 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 7 unt; 2 nHn; 19 RR)
% Number of literals : 33 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
open(sk14),
file('GEO085-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ end_point(u,sk14)
| ~ end_point(v,sk14)
| equal(v,u) ),
file('GEO085-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ closed(u)
| ~ end_point(v,u) ),
file('GEO085-1.p',unknown),
[] ).
cnf(34,axiom,
( closed(u)
| end_point(ax0_sk6(u),u) ),
file('GEO085-1.p',unknown),
[] ).
cnf(35,axiom,
( ~ open(u)
| end_point(ax0_sk7(u),u) ),
file('GEO085-1.p',unknown),
[] ).
cnf(43,axiom,
( ~ end_point(u,v)
| end_point(ax0_sk11(u,v),v) ),
file('GEO085-1.p',unknown),
[] ).
cnf(44,axiom,
( ~ end_point(u,v)
| ~ equal(ax0_sk11(u,v),u) ),
file('GEO085-1.p',unknown),
[] ).
cnf(51,plain,
end_point(ax0_sk7(sk14),sk14),
inference(res,[status(thm),theory(equality)],[1,35]),
[iquote('0:Res:1.0,35.0')] ).
cnf(52,plain,
( ~ end_point(u,sk14)
| equal(ax0_sk7(sk14),u) ),
inference(res,[status(thm),theory(equality)],[51,2]),
[iquote('0:Res:51.0,2.0')] ).
cnf(57,plain,
~ closed(sk14),
inference(res,[status(thm),theory(equality)],[51,33]),
[iquote('0:Res:51.0,33.1')] ).
cnf(62,plain,
( closed(sk14)
| equal(ax0_sk7(sk14),ax0_sk6(sk14)) ),
inference(res,[status(thm),theory(equality)],[34,52]),
[iquote('0:Res:34.1,52.0')] ).
cnf(64,plain,
equal(ax0_sk7(sk14),ax0_sk6(sk14)),
inference(mrr,[status(thm)],[62,57]),
[iquote('0:MRR:62.0,57.0')] ).
cnf(65,plain,
end_point(ax0_sk6(sk14),sk14),
inference(rew,[status(thm),theory(equality)],[64,51]),
[iquote('0:Rew:64.0,51.0')] ).
cnf(66,plain,
( ~ end_point(u,sk14)
| equal(ax0_sk6(sk14),u) ),
inference(rew,[status(thm),theory(equality)],[64,52]),
[iquote('0:Rew:64.0,52.1')] ).
cnf(77,plain,
( ~ end_point(u,sk14)
| equal(ax0_sk11(u,sk14),ax0_sk6(sk14)) ),
inference(res,[status(thm),theory(equality)],[43,66]),
[iquote('0:Res:43.1,66.0')] ).
cnf(85,plain,
( ~ end_point(u,sk14)
| ~ end_point(u,sk14)
| ~ equal(ax0_sk6(sk14),u) ),
inference(spl,[status(thm),theory(equality)],[77,44]),
[iquote('0:SpL:77.1,44.1')] ).
cnf(86,plain,
( ~ end_point(u,sk14)
| ~ equal(ax0_sk6(sk14),u) ),
inference(obv,[status(thm),theory(equality)],[85]),
[iquote('0:Obv:85.0')] ).
cnf(92,plain,
~ equal(ax0_sk6(sk14),ax0_sk6(sk14)),
inference(res,[status(thm),theory(equality)],[65,86]),
[iquote('0:Res:65.0,86.0')] ).
cnf(93,plain,
$false,
inference(obv,[status(thm),theory(equality)],[92]),
[iquote('0:Obv:92.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO085-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n008.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 21:47:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 38 clauses, backtracked 0 clauses, performed 0 splits and kept 63 clauses.
% 0.19/0.43 SPASS allocated 75669 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.08 on the problem.
% 0.19/0.43 0:00:00.04 for the input.
% 0.19/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.01 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 5, length 19 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : theorem_2_7_1_67 theorem_2_7_1_68 closed_defn_31 closed_defn_32 open_defn_33 c6_41 c6_42
% 0.19/0.43
%------------------------------------------------------------------------------