TSTP Solution File: SEU362+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU362+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 14:36:38 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of clauses : 36 ( 17 unt; 2 nHn; 36 RR)
% Number of literals : 75 ( 0 equ; 43 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rel_str(skc10),
file('SEU362+1.p',unknown),
[] ).
cnf(7,axiom,
subrelstr(skc11,skc10),
file('SEU362+1.p',unknown),
[] ).
cnf(8,axiom,
equal(skc14,skc12),
file('SEU362+1.p',unknown),
[] ).
cnf(12,axiom,
element(skc14,the_carrier(skc11)),
file('SEU362+1.p',unknown),
[] ).
cnf(13,axiom,
element(skc13,the_carrier(skc10)),
file('SEU362+1.p',unknown),
[] ).
cnf(14,axiom,
element(skc12,the_carrier(skc10)),
file('SEU362+1.p',unknown),
[] ).
cnf(15,axiom,
related(skc11,skc14,skc13),
file('SEU362+1.p',unknown),
[] ).
cnf(16,axiom,
element(skc13,the_carrier(skc11)),
file('SEU362+1.p',unknown),
[] ).
cnf(18,axiom,
~ related(skc10,skc12,skc13),
file('SEU362+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ subset(u,v)
| element(u,powerset(v)) ),
file('SEU362+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ rel_str(u)
| ~ subrelstr(v,u)
| rel_str(v) ),
file('SEU362+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ element(u,v)
| empty(v)
| in(u,v) ),
file('SEU362+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ in(u,v)
| ~ element(v,powerset(w))
| element(u,w) ),
file('SEU362+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ empty(u)
| ~ in(v,w)
| ~ element(w,powerset(u)) ),
file('SEU362+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ rel_str(u)
| ~ rel_str(v)
| ~ subrelstr(v,u)
| subset(the_InternalRel(v),the_InternalRel(u)) ),
file('SEU362+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ rel_str(u)
| ~ element(v,the_carrier(u))
| ~ element(w,the_carrier(u))
| ~ in(ordered_pair(w,v),the_InternalRel(u))
| related(u,w,v) ),
file('SEU362+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ rel_str(u)
| ~ element(v,the_carrier(u))
| ~ element(w,the_carrier(u))
| ~ related(u,w,v)
| in(ordered_pair(w,v),the_InternalRel(u)) ),
file('SEU362+1.p',unknown),
[] ).
cnf(53,plain,
related(skc11,skc12,skc13),
inference(rew,[status(thm),theory(equality)],[8,15]),
[iquote('0:Rew:8.0,15.0')] ).
cnf(54,plain,
element(skc12,the_carrier(skc11)),
inference(rew,[status(thm),theory(equality)],[8,12]),
[iquote('0:Rew:8.0,12.0')] ).
cnf(55,plain,
( ~ rel_str(u)
| ~ subrelstr(v,u)
| subset(the_InternalRel(v),the_InternalRel(u)) ),
inference(mrr,[status(thm)],[49,37]),
[iquote('0:MRR:49.1,37.2')] ).
cnf(68,plain,
( ~ rel_str(skc10)
| subset(the_InternalRel(skc11),the_InternalRel(skc10)) ),
inference(res,[status(thm),theory(equality)],[7,55]),
[iquote('0:Res:7.0,55.1')] ).
cnf(69,plain,
( ~ rel_str(skc10)
| rel_str(skc11) ),
inference(res,[status(thm),theory(equality)],[7,37]),
[iquote('0:Res:7.0,37.1')] ).
cnf(75,plain,
( ~ rel_str(skc11)
| ~ element(skc12,the_carrier(skc11))
| ~ element(skc13,the_carrier(skc11))
| in(ordered_pair(skc12,skc13),the_InternalRel(skc11)) ),
inference(res,[status(thm),theory(equality)],[53,52]),
[iquote('0:Res:53.0,52.1')] ).
cnf(91,plain,
( ~ rel_str(skc10)
| ~ in(ordered_pair(skc12,skc13),the_InternalRel(skc10))
| ~ element(skc12,the_carrier(skc10))
| ~ element(skc13,the_carrier(skc10)) ),
inference(res,[status(thm),theory(equality)],[51,18]),
[iquote('0:Res:51.4,18.0')] ).
cnf(92,plain,
rel_str(skc11),
inference(mrr,[status(thm)],[69,1]),
[iquote('0:MRR:69.0,1.0')] ).
cnf(94,plain,
subset(the_InternalRel(skc11),the_InternalRel(skc10)),
inference(mrr,[status(thm)],[68,1]),
[iquote('0:MRR:68.0,1.0')] ).
cnf(99,plain,
in(ordered_pair(skc12,skc13),the_InternalRel(skc11)),
inference(mrr,[status(thm)],[75,92,54,16]),
[iquote('0:MRR:75.0,75.1,75.2,92.0,54.0,16.0')] ).
cnf(112,plain,
~ in(ordered_pair(skc12,skc13),the_InternalRel(skc10)),
inference(mrr,[status(thm)],[91,1,14,13]),
[iquote('0:MRR:91.0,91.2,91.3,1.0,14.0,13.0')] ).
cnf(227,plain,
( ~ empty(u)
| ~ subset(v,u)
| ~ in(w,v) ),
inference(res,[status(thm),theory(equality)],[35,47]),
[iquote('0:Res:35.1,47.2')] ).
cnf(255,plain,
( ~ subset(u,v)
| ~ in(w,u)
| element(w,v) ),
inference(res,[status(thm),theory(equality)],[35,46]),
[iquote('0:Res:35.1,46.1')] ).
cnf(441,plain,
( ~ empty(the_InternalRel(skc10))
| ~ in(u,the_InternalRel(skc11)) ),
inference(res,[status(thm),theory(equality)],[94,227]),
[iquote('0:Res:94.0,227.1')] ).
cnf(480,plain,
( ~ in(u,the_InternalRel(skc11))
| element(u,the_InternalRel(skc10)) ),
inference(res,[status(thm),theory(equality)],[94,255]),
[iquote('0:Res:94.0,255.0')] ).
cnf(492,plain,
( ~ in(u,the_InternalRel(skc11))
| empty(the_InternalRel(skc10))
| in(u,the_InternalRel(skc10)) ),
inference(res,[status(thm),theory(equality)],[480,40]),
[iquote('0:Res:480.1,40.0')] ).
cnf(493,plain,
( ~ in(u,the_InternalRel(skc11))
| in(u,the_InternalRel(skc10)) ),
inference(mrr,[status(thm)],[492,441]),
[iquote('0:MRR:492.1,441.0')] ).
cnf(496,plain,
in(ordered_pair(skc12,skc13),the_InternalRel(skc10)),
inference(res,[status(thm),theory(equality)],[99,493]),
[iquote('0:Res:99.0,493.0')] ).
cnf(505,plain,
$false,
inference(mrr,[status(thm)],[496,112]),
[iquote('0:MRR:496.0,112.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU362+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 00:31:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48
% 0.20/0.48 SPASS V 3.9
% 0.20/0.48 SPASS beiseite: Proof found.
% 0.20/0.48 % SZS status Theorem
% 0.20/0.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 SPASS derived 391 clauses, backtracked 0 clauses, performed 0 splits and kept 280 clauses.
% 0.20/0.48 SPASS allocated 98003 KBytes.
% 0.20/0.48 SPASS spent 0:00:00.13 on the problem.
% 0.20/0.48 0:00:00.04 for the input.
% 0.20/0.48 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.48 0:00:00.01 for inferences.
% 0.20/0.48 0:00:00.00 for the backtracking.
% 0.20/0.48 0:00:00.03 for the reduction.
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 Here is a proof with depth 4, length 36 :
% 0.20/0.48 % SZS output start Refutation
% See solution above
% 0.20/0.48 Formulae used in the proof : t60_yellow_0 t3_subset dt_m1_yellow_0 t2_subset t4_subset t5_subset d13_yellow_0 d9_orders_2
% 0.20/0.48
%------------------------------------------------------------------------------