TSTP Solution File: SET027-4 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET027-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 05:22:49 EDT 2022
% Result : Unsatisfiable 170.77s 170.98s
% Output : Refutation 170.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 34 ( 12 unt; 8 nHn; 34 RR)
% Number of literals : 66 ( 0 equ; 30 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
subset(a,b),
file('SET027-4.p',unknown),
[] ).
cnf(2,axiom,
subset(b,c),
file('SET027-4.p',unknown),
[] ).
cnf(3,axiom,
~ subset(a,c),
file('SET027-4.p',unknown),
[] ).
cnf(4,axiom,
( ~ member(u,v)
| little_set(u) ),
file('SET027-4.p',unknown),
[] ).
cnf(34,axiom,
( ~ member(u,v)
| ~ member(u,complement(v)) ),
file('SET027-4.p',unknown),
[] ).
cnf(35,axiom,
( ~ little_set(u)
| member(u,v)
| member(u,complement(v)) ),
file('SET027-4.p',unknown),
[] ).
cnf(70,axiom,
( ~ member(u,v)
| ~ subset(v,w)
| member(u,w) ),
file('SET027-4.p',unknown),
[] ).
cnf(71,axiom,
( subset(u,v)
| member(f17(u,v),u) ),
file('SET027-4.p',unknown),
[] ).
cnf(72,axiom,
( ~ member(f17(u,v),v)
| subset(u,v) ),
file('SET027-4.p',unknown),
[] ).
cnf(98,axiom,
( ~ member(u,v)
| ~ member(u,w)
| ~ disjoint(w,v) ),
file('SET027-4.p',unknown),
[] ).
cnf(99,axiom,
( disjoint(u,v)
| member(f23(u,v),u) ),
file('SET027-4.p',unknown),
[] ).
cnf(100,axiom,
( disjoint(u,v)
| member(f23(u,v),v) ),
file('SET027-4.p',unknown),
[] ).
cnf(145,plain,
~ member(f17(a,c),c),
inference(res,[status(thm),theory(equality)],[72,3]),
[iquote('0:Res:72.1,3.0')] ).
cnf(146,plain,
member(f17(a,c),a),
inference(res,[status(thm),theory(equality)],[71,3]),
[iquote('0:Res:71.0,3.0')] ).
cnf(158,plain,
little_set(f17(a,c)),
inference(res,[status(thm),theory(equality)],[146,4]),
[iquote('0:Res:146.0,4.0')] ).
cnf(251,plain,
( ~ member(f23(u,complement(v)),v)
| disjoint(u,complement(v)) ),
inference(res,[status(thm),theory(equality)],[100,34]),
[iquote('0:Res:100.1,34.1')] ).
cnf(955,plain,
( ~ subset(u,v)
| disjoint(w,u)
| member(f23(w,u),v) ),
inference(res,[status(thm),theory(equality)],[100,70]),
[iquote('0:Res:100.1,70.0')] ).
cnf(1186,plain,
( ~ member(f17(a,c),u)
| ~ disjoint(u,a) ),
inference(res,[status(thm),theory(equality)],[146,98]),
[iquote('0:Res:146.0,98.0')] ).
cnf(1195,plain,
( ~ member(f23(u,v),w)
| ~ disjoint(w,u)
| disjoint(u,v) ),
inference(res,[status(thm),theory(equality)],[99,98]),
[iquote('0:Res:99.1,98.0')] ).
cnf(2925,plain,
( ~ little_set(f17(a,c))
| ~ disjoint(complement(u),a)
| member(f17(a,c),u) ),
inference(res,[status(thm),theory(equality)],[35,1186]),
[iquote('0:Res:35.2,1186.0')] ).
cnf(2936,plain,
( ~ disjoint(complement(u),a)
| member(f17(a,c),u) ),
inference(ssi,[status(thm)],[2925,158]),
[iquote('0:SSi:2925.0,158.0')] ).
cnf(3300,plain,
~ disjoint(complement(c),a),
inference(res,[status(thm),theory(equality)],[2936,145]),
[iquote('0:Res:2936.1,145.0')] ).
cnf(6888,plain,
( disjoint(u,complement(u))
| disjoint(u,complement(u)) ),
inference(res,[status(thm),theory(equality)],[99,251]),
[iquote('0:Res:99.1,251.0')] ).
cnf(6889,plain,
disjoint(u,complement(u)),
inference(obv,[status(thm),theory(equality)],[6888]),
[iquote('0:Obv:6888.0')] ).
cnf(12177,plain,
( ~ disjoint(u,v)
| disjoint(v,u)
| disjoint(v,u) ),
inference(res,[status(thm),theory(equality)],[100,1195]),
[iquote('0:Res:100.1,1195.0')] ).
cnf(12181,plain,
( ~ subset(u,v)
| ~ disjoint(v,w)
| disjoint(w,u)
| disjoint(w,u) ),
inference(res,[status(thm),theory(equality)],[955,1195]),
[iquote('0:Res:955.2,1195.0')] ).
cnf(12185,plain,
( ~ disjoint(u,v)
| disjoint(v,u) ),
inference(obv,[status(thm),theory(equality)],[12177]),
[iquote('0:Obv:12177.1')] ).
cnf(12189,plain,
( ~ subset(u,v)
| ~ disjoint(v,w)
| disjoint(w,u) ),
inference(obv,[status(thm),theory(equality)],[12181]),
[iquote('0:Obv:12181.2')] ).
cnf(79359,plain,
( ~ disjoint(c,u)
| disjoint(u,b) ),
inference(res,[status(thm),theory(equality)],[2,12189]),
[iquote('0:Res:2.0,12189.0')] ).
cnf(79360,plain,
( ~ disjoint(b,u)
| disjoint(u,a) ),
inference(res,[status(thm),theory(equality)],[1,12189]),
[iquote('0:Res:1.0,12189.0')] ).
cnf(79419,plain,
disjoint(complement(c),b),
inference(res,[status(thm),theory(equality)],[6889,79359]),
[iquote('0:Res:6889.0,79359.0')] ).
cnf(79429,plain,
disjoint(b,complement(c)),
inference(res,[status(thm),theory(equality)],[79419,12185]),
[iquote('0:Res:79419.0,12185.0')] ).
cnf(79998,plain,
disjoint(complement(c),a),
inference(res,[status(thm),theory(equality)],[79429,79360]),
[iquote('0:Res:79429.0,79360.0')] ).
cnf(80002,plain,
$false,
inference(mrr,[status(thm)],[79998,3300]),
[iquote('0:MRR:79998.0,3300.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET027-4 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n019.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 : Mon Jul 11 09:23:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 170.77/170.98
% 170.77/170.98 SPASS V 3.9
% 170.77/170.98 SPASS beiseite: Proof found.
% 170.77/170.98 % SZS status Theorem
% 170.77/170.98 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.77/170.98 SPASS derived 58512 clauses, backtracked 1860 clauses, performed 22 splits and kept 26622 clauses.
% 170.77/170.98 SPASS allocated 157967 KBytes.
% 170.77/170.98 SPASS spent 0:2:47.83 on the problem.
% 170.77/170.98 0:00:00.04 for the input.
% 170.77/170.98 0:00:00.00 for the FLOTTER CNF translation.
% 170.77/170.98 0:00:01.20 for inferences.
% 170.77/170.98 0:0:12.31 for the backtracking.
% 170.77/170.98 0:2:32.70 for the reduction.
% 170.77/170.98
% 170.77/170.98
% 170.77/170.98 Here is a proof with depth 6, length 34 :
% 170.77/170.98 % SZS output start Refutation
% See solution above
% 170.77/170.98 Formulae used in the proof : a_subset_b b_subset_c prove_a_subset_c a2 complement1 complement2 subset1 subset2 subset3 disjoint1 disjoint2 disjoint3
% 170.77/170.98
%------------------------------------------------------------------------------