TSTP Solution File: SEU080+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU080+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 14:33:52 EDT 2022
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 10 unt; 0 nHn; 19 RR)
% Number of literals : 38 ( 0 equ; 22 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc11),
file('SEU080+1.p',unknown),
[] ).
cnf(2,axiom,
function(skc11),
file('SEU080+1.p',unknown),
[] ).
cnf(26,axiom,
subset(u,u),
file('SEU080+1.p',unknown),
[] ).
cnf(27,axiom,
subset(skc13,relation_rng(skc11)),
file('SEU080+1.p',unknown),
[] ).
cnf(28,axiom,
~ equal(skc13,skc12),
file('SEU080+1.p',unknown),
[] ).
cnf(29,axiom,
subset(skc12,relation_rng(skc11)),
file('SEU080+1.p',unknown),
[] ).
cnf(40,axiom,
equal(relation_inverse_image(skc11,skc13),relation_inverse_image(skc11,skc12)),
file('SEU080+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ subset(u,v)
| ~ subset(v,u)
| equal(v,u) ),
file('SEU080+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ function(u)
| ~ relation(u)
| ~ subset(v,relation_rng(u))
| ~ subset(relation_inverse_image(u,v),relation_inverse_image(u,w))
| subset(v,w) ),
file('SEU080+1.p',unknown),
[] ).
cnf(61,plain,
( ~ relation(skc11)
| ~ function(skc11)
| ~ subset(relation_inverse_image(skc11,skc12),relation_inverse_image(skc11,u))
| subset(skc12,u) ),
inference(res,[status(thm),theory(equality)],[29,55]),
[iquote('0:Res:29.0,55.3')] ).
cnf(64,plain,
( ~ subset(skc12,skc13)
| ~ subset(skc13,skc12) ),
inference(res,[status(thm),theory(equality)],[52,28]),
[iquote('0:Res:52.2,28.0')] ).
cnf(69,plain,
( ~ relation(skc11)
| ~ function(skc11)
| ~ subset(relation_inverse_image(skc11,skc13),relation_inverse_image(skc11,u))
| subset(skc13,u) ),
inference(res,[status(thm),theory(equality)],[27,55]),
[iquote('0:Res:27.0,55.3')] ).
cnf(76,plain,
( ~ subset(relation_inverse_image(skc11,skc12),relation_inverse_image(skc11,u))
| subset(skc12,u) ),
inference(mrr,[status(thm)],[61,1,2]),
[iquote('0:MRR:61.0,61.1,1.0,2.0')] ).
cnf(77,plain,
( ~ relation(skc11)
| ~ function(skc11)
| ~ subset(relation_inverse_image(skc11,skc12),relation_inverse_image(skc11,u))
| subset(skc13,u) ),
inference(rew,[status(thm),theory(equality)],[40,69]),
[iquote('0:Rew:40.0,69.2')] ).
cnf(78,plain,
( ~ subset(relation_inverse_image(skc11,skc12),relation_inverse_image(skc11,u))
| subset(skc13,u) ),
inference(mrr,[status(thm)],[77,1,2]),
[iquote('0:MRR:77.0,77.1,1.0,2.0')] ).
cnf(266,plain,
subset(skc13,skc12),
inference(res,[status(thm),theory(equality)],[26,78]),
[iquote('0:Res:26.0,78.0')] ).
cnf(268,plain,
~ subset(skc12,skc13),
inference(mrr,[status(thm)],[64,266]),
[iquote('0:MRR:64.1,266.0')] ).
cnf(284,plain,
( ~ subset(relation_inverse_image(skc11,skc12),relation_inverse_image(skc11,skc12))
| subset(skc12,skc13) ),
inference(spl,[status(thm),theory(equality)],[40,76]),
[iquote('0:SpL:40.0,76.0')] ).
cnf(287,plain,
$false,
inference(mrr,[status(thm)],[284,26,268]),
[iquote('0:MRR:284.0,284.1,26.0,268.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SEU080+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.11 % Command : run_spass %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Mon Jun 20 01:57:33 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.14/0.39
% 0.14/0.39 SPASS V 3.9
% 0.14/0.39 SPASS beiseite: Proof found.
% 0.14/0.39 % SZS status Theorem
% 0.14/0.39 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39 SPASS derived 200 clauses, backtracked 0 clauses, performed 0 splits and kept 128 clauses.
% 0.14/0.39 SPASS allocated 97768 KBytes.
% 0.14/0.39 SPASS spent 0:00:00.08 on the problem.
% 0.14/0.39 0:00:00.03 for the input.
% 0.14/0.39 0:00:00.02 for the FLOTTER CNF translation.
% 0.14/0.39 0:00:00.00 for inferences.
% 0.14/0.39 0:00:00.00 for the backtracking.
% 0.14/0.39 0:00:00.01 for the reduction.
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 Here is a proof with depth 2, length 19 :
% 0.14/0.39 % SZS output start Refutation
% See solution above
% 0.14/0.39 Formulae used in the proof : t161_funct_1 reflexivity_r1_tarski d10_xboole_0 t158_funct_1
% 0.14/0.39
%------------------------------------------------------------------------------