TSTP Solution File: SEU310+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 : Tue Jul 19 14:36:08 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 25 ( 8 unt; 4 nHn; 25 RR)
% Number of literals : 67 ( 0 equ; 43 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
top_str(skc3),
file('SEU310+1.p',unknown),
[] ).
cnf(2,axiom,
topological_space(skc3),
file('SEU310+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ top_str(u)
| one_sorted_str(u) ),
file('SEU310+1.p',unknown),
[] ).
cnf(23,axiom,
element(skc4,powerset(powerset(the_carrier(skc3)))),
file('SEU310+1.p',unknown),
[] ).
cnf(58,axiom,
( in(skf6(u),u)
| in(skf6(u),powerset(the_carrier(skc3))) ),
file('SEU310+1.p',unknown),
[] ).
cnf(76,axiom,
( in(skf6(u),u)
| in(set_difference(cast_as_carrier_subset(skc3),skf6(u)),skc4) ),
file('SEU310+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ equal(skf13(u,v),skf13(u,v))
| skP0(w,x) ),
file('SEU310+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ in(u,powerset(the_carrier(v)))
| ~ in(set_difference(cast_as_carrier_subset(v),u),w)
| in(u,skf12(w,v)) ),
file('SEU310+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ in(skf6(u),u)
| ~ in(skf6(u),powerset(the_carrier(skc3)))
| ~ in(set_difference(cast_as_carrier_subset(skc3),skf6(u)),skc4) ),
file('SEU310+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ top_str(u)
| ~ topological_space(u)
| ~ in(v,skf12(w,u))
| ~ element(w,powerset(powerset(the_carrier(u))))
| ~ skP0(w,u)
| in(v,powerset(the_carrier(u))) ),
file('SEU310+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ top_str(u)
| ~ topological_space(u)
| ~ in(v,skf12(w,u))
| ~ element(w,powerset(powerset(the_carrier(u))))
| ~ skP0(w,u)
| in(set_difference(cast_as_carrier_subset(u),v),w) ),
file('SEU310+1.p',unknown),
[] ).
cnf(83,plain,
skP0(u,v),
inference(obv,[status(thm),theory(equality)],[78]),
[iquote('0:Obv:78.0')] ).
cnf(84,plain,
( ~ topological_space(u)
| ~ top_str(u)
| ~ element(v,powerset(powerset(the_carrier(u))))
| ~ in(w,skf12(v,u))
| in(w,powerset(the_carrier(u))) ),
inference(mrr,[status(thm)],[81,83]),
[iquote('0:MRR:81.4,83.0')] ).
cnf(85,plain,
( ~ topological_space(u)
| ~ top_str(u)
| ~ element(v,powerset(powerset(the_carrier(u))))
| ~ in(w,skf12(v,u))
| in(set_difference(cast_as_carrier_subset(u),w),v) ),
inference(mrr,[status(thm)],[82,83]),
[iquote('0:MRR:82.4,83.0')] ).
cnf(94,plain,
one_sorted_str(skc3),
inference(res,[status(thm),theory(equality)],[1,22]),
[iquote('0:Res:1.0,22.0')] ).
cnf(111,plain,
( ~ top_str(skc3)
| ~ topological_space(skc3)
| ~ in(u,skf12(skc4,skc3))
| in(u,powerset(the_carrier(skc3))) ),
inference(res,[status(thm),theory(equality)],[23,84]),
[iquote('0:Res:23.0,84.3')] ).
cnf(129,plain,
( ~ in(u,skf12(skc4,skc3))
| in(u,powerset(the_carrier(skc3))) ),
inference(mrr,[status(thm)],[111,1,2]),
[iquote('0:MRR:111.0,111.1,1.0,2.0')] ).
cnf(526,plain,
( ~ in(skf6(u),powerset(the_carrier(skc3)))
| in(skf6(u),u)
| in(skf6(u),skf12(skc4,skc3)) ),
inference(res,[status(thm),theory(equality)],[76,79]),
[iquote('0:Res:76.1,79.1')] ).
cnf(527,plain,
( in(skf6(u),u)
| in(skf6(u),skf12(skc4,skc3)) ),
inference(mrr,[status(thm)],[526,58]),
[iquote('0:MRR:526.0,58.1')] ).
cnf(534,plain,
in(skf6(skf12(skc4,skc3)),skf12(skc4,skc3)),
inference(fac,[status(thm)],[527]),
[iquote('0:Fac:527.0,527.1')] ).
cnf(544,plain,
( ~ topological_space(skc3)
| ~ top_str(skc3)
| ~ element(skc4,powerset(powerset(the_carrier(skc3))))
| ~ in(skf6(u),skf12(skc4,skc3))
| ~ in(skf6(u),u)
| ~ in(skf6(u),powerset(the_carrier(skc3))) ),
inference(res,[status(thm),theory(equality)],[85,80]),
[iquote('0:Res:85.4,80.2')] ).
cnf(546,plain,
( ~ element(skc4,powerset(powerset(the_carrier(skc3))))
| ~ in(skf6(u),skf12(skc4,skc3))
| ~ in(skf6(u),u)
| ~ in(skf6(u),powerset(the_carrier(skc3))) ),
inference(ssi,[status(thm)],[544,2,1,94]),
[iquote('0:SSi:544.1,544.0,2.0,1.0,94.0,2.0,1.0,94.0')] ).
cnf(547,plain,
( ~ in(skf6(u),skf12(skc4,skc3))
| ~ in(skf6(u),u) ),
inference(mrr,[status(thm)],[546,23,129]),
[iquote('0:MRR:546.0,546.3,23.0,129.1')] ).
cnf(583,plain,
~ in(skf6(skf12(skc4,skc3)),skf12(skc4,skc3)),
inference(res,[status(thm),theory(equality)],[534,547]),
[iquote('0:Res:534.0,547.0')] ).
cnf(584,plain,
$false,
inference(mrr,[status(thm)],[583,534]),
[iquote('0:MRR:583.0,534.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 22:39:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48
% 0.19/0.48 SPASS V 3.9
% 0.19/0.48 SPASS beiseite: Proof found.
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 SPASS derived 424 clauses, backtracked 0 clauses, performed 0 splits and kept 302 clauses.
% 0.19/0.48 SPASS allocated 97947 KBytes.
% 0.19/0.48 SPASS spent 0:00:00.13 on the problem.
% 0.19/0.48 0:00:00.04 for the input.
% 0.19/0.48 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.48 0:00:00.00 for inferences.
% 0.19/0.48 0:00:00.00 for the backtracking.
% 0.19/0.48 0:00:00.01 for the reduction.
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 Here is a proof with depth 3, length 25 :
% 0.19/0.48 % SZS output start Refutation
% See solution above
% 0.19/0.48 Formulae used in the proof : s1_xboole_0__e2_37_1_1__pre_topc__1 dt_l1_pre_topc s1_tarski__e2_37_1_1__pre_topc__1
% 0.19/0.48
%------------------------------------------------------------------------------