TSTP Solution File: SWC220+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC220+1 : TPTP v8.1.0. Released v2.4.0.
% 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 22:02:34 EDT 2022
% Result : Theorem 37.69s 37.96s
% Output : Refutation 37.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 28 ( 11 unt; 2 nHn; 28 RR)
% Number of literals : 87 ( 0 equ; 62 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssList(skc11),
file('SWC220+1.p',unknown),
[] ).
cnf(2,axiom,
ssList(skc10),
file('SWC220+1.p',unknown),
[] ).
cnf(3,axiom,
ssItem(skc9),
file('SWC220+1.p',unknown),
[] ).
cnf(54,axiom,
~ equal(skc7,nil),
file('SWC220+1.p',unknown),
[] ).
cnf(62,axiom,
ssItem(skf44(u,v,w)),
file('SWC220+1.p',unknown),
[] ).
cnf(104,axiom,
( equal(app(app(skc10,cons(skc9,nil)),skc11),skc7)
| equal(skc7,nil) ),
file('SWC220+1.p',unknown),
[] ).
cnf(179,axiom,
( ~ ssItem(u)
| ~ memberP(skc10,u)
| ~ memberP(skc11,u)
| ~ leq(skc9,u)
| leq(u,skc9)
| equal(skc7,nil) ),
file('SWC220+1.p',unknown),
[] ).
cnf(187,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssItem(w)
| ~ equal(app(app(v,cons(w,nil)),u),skc7)
| leq(w,skf44(w,u,v)) ),
file('SWC220+1.p',unknown),
[] ).
cnf(188,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssItem(w)
| ~ equal(app(app(v,cons(w,nil)),u),skc7)
| memberP(u,skf44(w,u,v)) ),
file('SWC220+1.p',unknown),
[] ).
cnf(189,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssItem(w)
| ~ equal(app(app(v,cons(w,nil)),u),skc7)
| memberP(v,skf44(w,u,v)) ),
file('SWC220+1.p',unknown),
[] ).
cnf(190,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssItem(w)
| ~ equal(app(app(v,cons(w,nil)),u),skc7)
| ~ leq(skf44(w,u,v),w) ),
file('SWC220+1.p',unknown),
[] ).
cnf(200,plain,
equal(app(app(skc10,cons(skc9,nil)),skc11),skc7),
inference(mrr,[status(thm)],[104,54]),
[iquote('0:MRR:104.1,54.0')] ).
cnf(204,plain,
( ~ ssItem(u)
| ~ leq(skc9,u)
| ~ memberP(skc11,u)
| ~ memberP(skc10,u)
| leq(u,skc9) ),
inference(mrr,[status(thm)],[179,54]),
[iquote('0:MRR:179.5,54.0')] ).
cnf(27723,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| ~ equal(skc7,skc7)
| ~ leq(skf44(skc9,skc11,skc10),skc9) ),
inference(spl,[status(thm),theory(equality)],[200,190]),
[iquote('0:SpL:200.0,190.3')] ).
cnf(27724,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| ~ equal(skc7,skc7)
| leq(skc9,skf44(skc9,skc11,skc10)) ),
inference(spl,[status(thm),theory(equality)],[200,187]),
[iquote('0:SpL:200.0,187.3')] ).
cnf(27725,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| ~ equal(skc7,skc7)
| memberP(skc11,skf44(skc9,skc11,skc10)) ),
inference(spl,[status(thm),theory(equality)],[200,188]),
[iquote('0:SpL:200.0,188.3')] ).
cnf(27726,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| ~ equal(skc7,skc7)
| memberP(skc10,skf44(skc9,skc11,skc10)) ),
inference(spl,[status(thm),theory(equality)],[200,189]),
[iquote('0:SpL:200.0,189.3')] ).
cnf(27734,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| leq(skc9,skf44(skc9,skc11,skc10)) ),
inference(obv,[status(thm),theory(equality)],[27724]),
[iquote('0:Obv:27724.3')] ).
cnf(27735,plain,
leq(skc9,skf44(skc9,skc11,skc10)),
inference(ssi,[status(thm)],[27734,3,2,1]),
[iquote('0:SSi:27734.2,27734.1,27734.0,3.0,2.0,1.0')] ).
cnf(27736,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| memberP(skc11,skf44(skc9,skc11,skc10)) ),
inference(obv,[status(thm),theory(equality)],[27725]),
[iquote('0:Obv:27725.3')] ).
cnf(27737,plain,
memberP(skc11,skf44(skc9,skc11,skc10)),
inference(ssi,[status(thm)],[27736,3,2,1]),
[iquote('0:SSi:27736.2,27736.1,27736.0,3.0,2.0,1.0')] ).
cnf(27738,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| memberP(skc10,skf44(skc9,skc11,skc10)) ),
inference(obv,[status(thm),theory(equality)],[27726]),
[iquote('0:Obv:27726.3')] ).
cnf(27739,plain,
memberP(skc10,skf44(skc9,skc11,skc10)),
inference(ssi,[status(thm)],[27738,3,2,1]),
[iquote('0:SSi:27738.2,27738.1,27738.0,3.0,2.0,1.0')] ).
cnf(27740,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| ~ leq(skf44(skc9,skc11,skc10),skc9) ),
inference(obv,[status(thm),theory(equality)],[27723]),
[iquote('0:Obv:27723.3')] ).
cnf(27741,plain,
~ leq(skf44(skc9,skc11,skc10),skc9),
inference(ssi,[status(thm)],[27740,3,2,1]),
[iquote('0:SSi:27740.2,27740.1,27740.0,3.0,2.0,1.0')] ).
cnf(29179,plain,
( ~ ssItem(skf44(skc9,skc11,skc10))
| ~ memberP(skc11,skf44(skc9,skc11,skc10))
| ~ memberP(skc10,skf44(skc9,skc11,skc10))
| leq(skf44(skc9,skc11,skc10),skc9) ),
inference(res,[status(thm),theory(equality)],[27735,204]),
[iquote('0:Res:27735.0,204.1')] ).
cnf(29184,plain,
( ~ memberP(skc11,skf44(skc9,skc11,skc10))
| ~ memberP(skc10,skf44(skc9,skc11,skc10))
| leq(skf44(skc9,skc11,skc10),skc9) ),
inference(ssi,[status(thm)],[29179,62,3,1,2]),
[iquote('0:SSi:29179.0,62.0,3.0,1.0,2.0')] ).
cnf(29185,plain,
$false,
inference(mrr,[status(thm)],[29184,27737,27739,27741]),
[iquote('0:MRR:29184.0,29184.1,29184.2,27737.0,27739.0,27741.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SWC220+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.11 % Command : run_spass %d %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Sun Jun 12 03:30:10 EDT 2022
% 0.11/0.31 % CPUTime :
% 37.69/37.96
% 37.69/37.96 SPASS V 3.9
% 37.69/37.96 SPASS beiseite: Proof found.
% 37.69/37.96 % SZS status Theorem
% 37.69/37.96 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.69/37.96 SPASS derived 18022 clauses, backtracked 2058 clauses, performed 26 splits and kept 7021 clauses.
% 37.69/37.96 SPASS allocated 124571 KBytes.
% 37.69/37.96 SPASS spent 0:0:32.85 on the problem.
% 37.69/37.96 0:00:00.03 for the input.
% 37.69/37.96 0:00:00.05 for the FLOTTER CNF translation.
% 37.69/37.96 0:00:00.40 for inferences.
% 37.69/37.96 0:00:00.80 for the backtracking.
% 37.69/37.96 0:0:31.20 for the reduction.
% 37.69/37.96
% 37.69/37.96
% 37.69/37.96 Here is a proof with depth 2, length 28 :
% 37.69/37.96 % SZS output start Refutation
% See solution above
% 37.69/37.96 Formulae used in the proof : co1 ax2 ax17
% 37.69/37.96
%------------------------------------------------------------------------------