TSTP Solution File: SET974+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET974+1 : TPTP v8.1.0. Released v3.2.0.
% 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 05:30:09 EDT 2022
% Result : Theorem 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 14 ( 5 unt; 4 nHn; 14 RR)
% Number of literals : 23 ( 0 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( disjoint(skc8,skc9)
| disjoint(skc6,skc7) ),
file('SET974+1.p',unknown),
[] ).
cnf(9,axiom,
~ disjoint(cartesian_product2(skc6,skc8),cartesian_product2(skc7,skc9)),
file('SET974+1.p',unknown),
[] ).
cnf(12,axiom,
( disjoint(u,v)
| in(skf5(v,u),set_intersection2(u,v)) ),
file('SET974+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ disjoint(u,v)
| ~ in(w,set_intersection2(u,v)) ),
file('SET974+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ in(u,set_intersection2(cartesian_product2(v,w),cartesian_product2(x,y)))
| in(skf3(y,w,z,x1,x2),set_intersection2(w,y)) ),
file('SET974+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ in(u,set_intersection2(cartesian_product2(v,w),cartesian_product2(x,y)))
| in(skf4(x,v,z,x1,x2),set_intersection2(v,x)) ),
file('SET974+1.p',unknown),
[] ).
cnf(61,plain,
( disjoint(cartesian_product2(u,v),cartesian_product2(w,x))
| in(skf4(w,u,y,z,x1),set_intersection2(u,w)) ),
inference(res,[status(thm),theory(equality)],[12,15]),
[iquote('0:Res:12.1,15.0')] ).
cnf(90,plain,
( disjoint(cartesian_product2(u,v),cartesian_product2(w,x))
| in(skf3(x,v,y,z,x1),set_intersection2(v,x)) ),
inference(res,[status(thm),theory(equality)],[12,14]),
[iquote('0:Res:12.1,14.0')] ).
cnf(144,plain,
( ~ disjoint(u,v)
| disjoint(cartesian_product2(u,w),cartesian_product2(v,x)) ),
inference(res,[status(thm),theory(equality)],[61,13]),
[iquote('0:Res:61.1,13.1')] ).
cnf(149,plain,
~ disjoint(skc6,skc7),
inference(res,[status(thm),theory(equality)],[144,9]),
[iquote('0:Res:144.1,9.0')] ).
cnf(151,plain,
disjoint(skc8,skc9),
inference(mrr,[status(thm)],[5,149]),
[iquote('0:MRR:5.1,149.0')] ).
cnf(164,plain,
( ~ disjoint(u,v)
| disjoint(cartesian_product2(w,u),cartesian_product2(x,v)) ),
inference(res,[status(thm),theory(equality)],[90,13]),
[iquote('0:Res:90.1,13.1')] ).
cnf(174,plain,
~ disjoint(skc8,skc9),
inference(res,[status(thm),theory(equality)],[164,9]),
[iquote('0:Res:164.1,9.0')] ).
cnf(176,plain,
$false,
inference(mrr,[status(thm)],[174,151]),
[iquote('0:MRR:174.0,151.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET974+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 15:06:53 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.45
% 0.21/0.45 SPASS V 3.9
% 0.21/0.45 SPASS beiseite: Proof found.
% 0.21/0.45 % SZS status Theorem
% 0.21/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.45 SPASS derived 146 clauses, backtracked 0 clauses, performed 0 splits and kept 74 clauses.
% 0.21/0.45 SPASS allocated 85296 KBytes.
% 0.21/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.21/0.45 0:00:00.03 for the input.
% 0.21/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.45 0:00:00.00 for inferences.
% 0.21/0.45 0:00:00.00 for the backtracking.
% 0.21/0.45 0:00:00.01 for the reduction.
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 Here is a proof with depth 3, length 14 :
% 0.21/0.45 % SZS output start Refutation
% See solution above
% 0.21/0.45 Formulae used in the proof : t127_zfmisc_1 t4_xboole_0 t104_zfmisc_1
% 0.21/0.45
%------------------------------------------------------------------------------