TSTP Solution File: SEU297+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU297+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 14:35:58 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 7 unt; 4 nHn; 26 RR)
% Number of literals : 69 ( 0 equ; 43 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc15),
file('SEU297+1.p',unknown),
[] ).
cnf(2,axiom,
function(skc15),
file('SEU297+1.p',unknown),
[] ).
cnf(49,axiom,
element(skc16,powerset(powerset(skc17))),
file('SEU297+1.p',unknown),
[] ).
cnf(76,axiom,
( in(skf7(u),u)
| in(skf7(u),powerset(relation_dom(skc15))) ),
file('SEU297+1.p',unknown),
[] ).
cnf(77,axiom,
( in(skf7(u),u)
| in(relation_image(skc15,skf7(u)),skc16) ),
file('SEU297+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ equal(skf15(u,v),skf15(u,v))
| skP0(w,x) ),
file('SEU297+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ in(u,powerset(relation_dom(v)))
| ~ in(relation_image(v,u),w)
| in(u,skf14(w,v)) ),
file('SEU297+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ in(skf7(u),u)
| ~ in(skf7(u),powerset(relation_dom(skc15)))
| ~ in(relation_image(skc15,skf7(u)),skc16) ),
file('SEU297+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ relation(u)
| ~ function(u)
| ~ skP0(v,u)
| ~ element(v,powerset(powerset(w)))
| ~ in(x,skf14(v,u))
| in(relation_image(u,x),v) ),
file('SEU297+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ relation(u)
| ~ function(u)
| ~ skP0(v,u)
| ~ element(v,powerset(powerset(w)))
| ~ in(x,skf14(v,u))
| in(x,powerset(relation_dom(u))) ),
file('SEU297+1.p',unknown),
[] ).
cnf(88,plain,
skP0(u,v),
inference(obv,[status(thm),theory(equality)],[81]),
[iquote('0:Obv:81.0')] ).
cnf(90,plain,
( ~ function(u)
| ~ relation(u)
| ~ element(v,powerset(powerset(w)))
| ~ in(x,skf14(v,u))
| in(relation_image(u,x),v) ),
inference(mrr,[status(thm)],[85,88]),
[iquote('0:MRR:85.2,88.0')] ).
cnf(91,plain,
( ~ function(u)
| ~ relation(u)
| ~ element(v,powerset(powerset(w)))
| ~ in(x,skf14(v,u))
| in(x,powerset(relation_dom(u))) ),
inference(mrr,[status(thm)],[86,88]),
[iquote('0:MRR:86.2,88.0')] ).
cnf(95,plain,
( ~ function(skc15)
| ~ element(u,powerset(powerset(v)))
| ~ in(w,skf14(u,skc15))
| in(w,powerset(relation_dom(skc15))) ),
inference(res,[status(thm),theory(equality)],[1,91]),
[iquote('0:Res:1.0,91.0')] ).
cnf(96,plain,
( ~ function(skc15)
| ~ element(u,powerset(powerset(v)))
| ~ in(w,skf14(u,skc15))
| in(relation_image(skc15,w),u) ),
inference(res,[status(thm),theory(equality)],[1,90]),
[iquote('0:Res:1.0,90.0')] ).
cnf(106,plain,
( ~ element(u,powerset(powerset(v)))
| ~ in(w,skf14(u,skc15))
| in(relation_image(skc15,w),u) ),
inference(mrr,[status(thm)],[96,2]),
[iquote('0:MRR:96.0,2.0')] ).
cnf(107,plain,
( ~ element(u,powerset(powerset(v)))
| ~ in(w,skf14(u,skc15))
| in(w,powerset(relation_dom(skc15))) ),
inference(mrr,[status(thm)],[95,2]),
[iquote('0:MRR:95.0,2.0')] ).
cnf(112,plain,
( ~ in(u,skf14(skc16,skc15))
| in(u,powerset(relation_dom(skc15))) ),
inference(res,[status(thm),theory(equality)],[49,107]),
[iquote('0:Res:49.0,107.0')] ).
cnf(113,plain,
( ~ in(u,skf14(skc16,skc15))
| in(relation_image(skc15,u),skc16) ),
inference(res,[status(thm),theory(equality)],[49,106]),
[iquote('0:Res:49.0,106.0')] ).
cnf(237,plain,
( ~ in(skf7(u),powerset(relation_dom(skc15)))
| in(skf7(u),u)
| in(skf7(u),skf14(skc16,skc15)) ),
inference(res,[status(thm),theory(equality)],[77,83]),
[iquote('0:Res:77.1,83.1')] ).
cnf(239,plain,
( in(skf7(u),u)
| in(skf7(u),skf14(skc16,skc15)) ),
inference(mrr,[status(thm)],[237,76]),
[iquote('0:MRR:237.0,76.1')] ).
cnf(240,plain,
in(skf7(skf14(skc16,skc15)),skf14(skc16,skc15)),
inference(fac,[status(thm)],[239]),
[iquote('0:Fac:239.0,239.1')] ).
cnf(250,plain,
( ~ in(skf7(u),skf14(skc16,skc15))
| ~ in(skf7(u),u)
| ~ in(relation_image(skc15,skf7(u)),skc16) ),
inference(res,[status(thm),theory(equality)],[112,84]),
[iquote('0:Res:112.1,84.1')] ).
cnf(255,plain,
( ~ in(skf7(u),skf14(skc16,skc15))
| ~ in(skf7(u),u) ),
inference(mrr,[status(thm)],[250,113]),
[iquote('0:MRR:250.2,113.1')] ).
cnf(347,plain,
~ in(skf7(skf14(skc16,skc15)),skf14(skc16,skc15)),
inference(res,[status(thm),theory(equality)],[240,255]),
[iquote('0:Res:240.0,255.0')] ).
cnf(348,plain,
$false,
inference(mrr,[status(thm)],[347,240]),
[iquote('0:MRR:347.0,240.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU297+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n005.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 00:23:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.46
% 0.19/0.46 SPASS V 3.9
% 0.19/0.46 SPASS beiseite: Proof found.
% 0.19/0.46 % SZS status Theorem
% 0.19/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 SPASS derived 159 clauses, backtracked 0 clauses, performed 0 splits and kept 166 clauses.
% 0.19/0.46 SPASS allocated 97958 KBytes.
% 0.19/0.46 SPASS spent 0:00:00.12 on the problem.
% 0.19/0.46 0:00:00.03 for the input.
% 0.19/0.46 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.46 0:00:00.00 for inferences.
% 0.19/0.46 0:00:00.00 for the backtracking.
% 0.19/0.46 0:00:00.01 for the reduction.
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 Here is a proof with depth 4, length 26 :
% 0.19/0.46 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : s1_xboole_0__e6_27__finset_1 s1_tarski__e6_27__finset_1__1
% 0.19/0.46
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