TSTP Solution File: SWW410-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWW410-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 : Thu Jul 21 01:28:26 EDT 2022
% Result : Unsatisfiable 45.45s 45.63s
% Output : Refutation 45.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 14 unt; 5 nHn; 24 RR)
% Number of literals : 38 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ equal(x3__dfg,x1__dfg),
file('SWW410-1.p',unknown),
[] ).
cnf(5,axiom,
heap(sep(lseg(x2__dfg,x1__dfg),sep(lseg(x3__dfg,nil),sep(next(x1__dfg,x3__dfg),emp)))),
file('SWW410-1.p',unknown),
[] ).
cnf(6,axiom,
~ heap(sep(lseg(x3__dfg,nil),sep(lseg(x2__dfg,x3__dfg),emp))),
file('SWW410-1.p',unknown),
[] ).
cnf(7,axiom,
equal(sep(u,sep(v,w)),sep(v,sep(u,w))),
file('SWW410-1.p',unknown),
[] ).
cnf(8,axiom,
equal(sep(lseg(u,u),v),v),
file('SWW410-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ heap(sep(next(u,v),sep(lseg(v,w),x)))
| heap(sep(lseg(u,w),x))
| equal(u,v) ),
file('SWW410-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ heap(sep(lseg(u,v),sep(lseg(v,nil),w)))
| heap(sep(lseg(u,nil),w)) ),
file('SWW410-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ heap(sep(lseg(u,v),sep(lseg(v,w),sep(lseg(w,x),y))))
| heap(sep(lseg(u,w),sep(lseg(w,x),y)))
| equal(w,x) ),
file('SWW410-1.p',unknown),
[] ).
cnf(18,plain,
~ heap(sep(lseg(x2__dfg,x3__dfg),sep(lseg(x3__dfg,nil),emp))),
inference(rew,[status(thm),theory(equality)],[7,6]),
[iquote('0:Rew:7.0,6.0')] ).
cnf(20,plain,
( ~ heap(sep(lseg(x2__dfg,u),sep(lseg(u,x3__dfg),sep(lseg(x3__dfg,nil),emp))))
| equal(x3__dfg,nil) ),
inference(res,[status(thm),theory(equality)],[17,18]),
[iquote('0:Res:17.2,18.0')] ).
cnf(24,plain,
equal(sep(u,sep(v,sep(w,x))),sep(v,sep(w,sep(u,x)))),
inference(spr,[status(thm),theory(equality)],[7]),
[iquote('0:SpR:7.0,7.0')] ).
cnf(105,plain,
( ~ heap(sep(lseg(u,v),sep(w,sep(lseg(v,nil),x))))
| heap(sep(lseg(u,nil),sep(w,x))) ),
inference(spl,[status(thm),theory(equality)],[7,15]),
[iquote('0:SpL:7.0,15.0')] ).
cnf(107,plain,
( ~ heap(sep(lseg(u,nil),sep(lseg(v,u),w)))
| heap(sep(lseg(v,nil),w)) ),
inference(spl,[status(thm),theory(equality)],[7,15]),
[iquote('0:SpL:7.0,15.0')] ).
cnf(637,plain,
( ~ heap(sep(next(u,v),w))
| heap(sep(lseg(u,v),w))
| equal(u,v) ),
inference(spl,[status(thm),theory(equality)],[8,14]),
[iquote('0:SpL:8.0,14.0')] ).
cnf(826,plain,
( ~ heap(sep(u,sep(v,sep(next(w,x),y))))
| heap(sep(lseg(w,x),sep(u,sep(v,y))))
| equal(w,x) ),
inference(spl,[status(thm),theory(equality)],[24,637]),
[iquote('0:SpL:24.0,637.0')] ).
cnf(1102,plain,
( ~ heap(sep(lseg(u,x3__dfg),sep(lseg(x2__dfg,u),sep(lseg(x3__dfg,nil),emp))))
| equal(x3__dfg,nil) ),
inference(spl,[status(thm),theory(equality)],[7,20]),
[iquote('0:SpL:7.0,20.0')] ).
cnf(22337,plain,
( heap(sep(lseg(x1__dfg,x3__dfg),sep(lseg(x2__dfg,x1__dfg),sep(lseg(x3__dfg,nil),emp))))
| equal(x3__dfg,x1__dfg) ),
inference(res,[status(thm),theory(equality)],[5,826]),
[iquote('0:Res:5.0,826.0')] ).
cnf(22338,plain,
heap(sep(lseg(x1__dfg,x3__dfg),sep(lseg(x2__dfg,x1__dfg),sep(lseg(x3__dfg,nil),emp)))),
inference(mrr,[status(thm)],[22337,3]),
[iquote('0:MRR:22337.1,3.0')] ).
cnf(22346,plain,
heap(sep(lseg(x1__dfg,nil),sep(lseg(x2__dfg,x1__dfg),emp))),
inference(res,[status(thm),theory(equality)],[22338,105]),
[iquote('0:Res:22338.0,105.0')] ).
cnf(22347,plain,
equal(x3__dfg,nil),
inference(res,[status(thm),theory(equality)],[22338,1102]),
[iquote('0:Res:22338.0,1102.0')] ).
cnf(22351,plain,
~ heap(sep(lseg(x2__dfg,nil),sep(lseg(nil,nil),emp))),
inference(rew,[status(thm),theory(equality)],[22347,18]),
[iquote('0:Rew:22347.0,18.0')] ).
cnf(22354,plain,
~ heap(sep(lseg(x2__dfg,nil),emp)),
inference(rew,[status(thm),theory(equality)],[8,22351]),
[iquote('0:Rew:8.0,22351.0')] ).
cnf(22374,plain,
heap(sep(lseg(x2__dfg,nil),emp)),
inference(res,[status(thm),theory(equality)],[22346,107]),
[iquote('0:Res:22346.0,107.0')] ).
cnf(22375,plain,
$false,
inference(mrr,[status(thm)],[22374,22354]),
[iquote('0:MRR:22374.0,22354.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW410-1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 5 13:10:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 45.45/45.63
% 45.45/45.63 SPASS V 3.9
% 45.45/45.63 SPASS beiseite: Proof found.
% 45.45/45.63 % SZS status Theorem
% 45.45/45.63 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.45/45.63 SPASS derived 22072 clauses, backtracked 0 clauses, performed 0 splits and kept 3017 clauses.
% 45.45/45.63 SPASS allocated 79381 KBytes.
% 45.45/45.63 SPASS spent 0:0:45.13 on the problem.
% 45.45/45.63 0:00:00.04 for the input.
% 45.45/45.63 0:00:00.00 for the FLOTTER CNF translation.
% 45.45/45.63 0:00:00.33 for inferences.
% 45.45/45.63 0:00:00.00 for the backtracking.
% 45.45/45.63 0:0:44.74 for the reduction.
% 45.45/45.63
% 45.45/45.63
% 45.45/45.63 Here is a proof with depth 5, length 24 :
% 45.45/45.63 % SZS output start Refutation
% See solution above
% 45.45/45.63 Formulae used in the proof : premise_3 premise_5 conclusion_1 associative_commutative normalization unfolding_2 unfolding_3 unfolding_5
% 45.45/45.63
%------------------------------------------------------------------------------