TSTP Solution File: SWV415+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV415+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 : Wed Jul 20 21:42:43 EDT 2022
% Result : Theorem 2.11s 2.31s
% Output : Refutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 9 unt; 0 nHn; 15 RR)
% Number of literals : 23 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 25 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(22,axiom,
equal(i(triple(u,create_slb,v)),create_pq),
file('SWV415+2.p',unknown),
[] ).
cnf(70,axiom,
~ equal(insert_pq(i(triple(skc18,skc17,skc16)),skc15),i(insert_cpq(triple(skc18,skc17,skc16),skc15))),
file('SWV415+2.p',unknown),
[] ).
cnf(74,axiom,
equal(triple(insert_pqp(u,v),insert_slb(w,pair(v,bottom)),x),insert_cpq(triple(u,w,x),v)),
file('SWV415+2.p',unknown),
[] ).
cnf(75,axiom,
equal(i(triple(u,insert_slb(v,pair(w,x)),y)),insert_pq(i(triple(u,v,y)),w)),
file('SWV415+2.p',unknown),
[] ).
cnf(84,axiom,
( ~ equal(i(triple(skc22,create_slb,skc20)),i(triple(skc21,create_slb,skc19)))
| equal(i(triple(u,skc23,v)),i(triple(w,skc23,x))) ),
file('SWV415+2.p',unknown),
[] ).
cnf(89,axiom,
( ~ equal(i(triple(skc29,insert_slb(skc23,pair(skc25,skc24)),skc27)),i(triple(skc28,insert_slb(skc23,pair(skc25,skc24)),skc26)))
| ~ equal(i(triple(skc22,create_slb,skc20)),i(triple(skc21,create_slb,skc19)))
| equal(i(triple(u,v,w)),i(triple(x,v,y))) ),
file('SWV415+2.p',unknown),
[] ).
cnf(94,plain,
( ~ equal(create_pq,create_pq)
| equal(i(triple(u,skc23,v)),i(triple(w,skc23,x))) ),
inference(rew,[status(thm),theory(equality)],[22,84]),
[iquote('0:Rew:22.0,84.0,22.0,84.0')] ).
cnf(95,plain,
equal(i(triple(u,skc23,v)),i(triple(w,skc23,x))),
inference(obv,[status(thm),theory(equality)],[94]),
[iquote('0:Obv:94.0')] ).
cnf(97,plain,
( ~ equal(insert_pq(i(triple(skc29,skc23,skc27)),skc25),insert_pq(i(triple(skc28,skc23,skc26)),skc25))
| ~ equal(create_pq,create_pq)
| equal(i(triple(u,v,w)),i(triple(x,v,y))) ),
inference(rew,[status(thm),theory(equality)],[22,89,75]),
[iquote('0:Rew:22.0,89.1,22.0,89.1,75.0,89.0,75.0,89.0')] ).
cnf(98,plain,
( ~ equal(insert_pq(i(triple(skc29,skc23,skc27)),skc25),insert_pq(i(triple(skc28,skc23,skc26)),skc25))
| equal(i(triple(u,v,w)),i(triple(x,v,y))) ),
inference(obv,[status(thm),theory(equality)],[97]),
[iquote('0:Obv:97.1')] ).
cnf(1439,plain,
( ~ equal(insert_pq(i(triple(u,skc23,v)),skc25),insert_pq(i(triple(skc28,skc23,skc26)),skc25))
| equal(i(triple(w,x,y)),i(triple(z,x,x1))) ),
inference(spl,[status(thm),theory(equality)],[95,98]),
[iquote('0:SpL:95.0,98.0')] ).
cnf(5730,plain,
equal(i(triple(u,v,w)),i(triple(x,v,y))),
inference(eqr,[status(thm),theory(equality)],[1439]),
[iquote('0:EqR:1439.0')] ).
cnf(5793,plain,
equal(i(triple(u,insert_slb(v,pair(w,bottom)),x)),i(insert_cpq(triple(y,v,z),w))),
inference(spr,[status(thm),theory(equality)],[74,5730]),
[iquote('0:SpR:74.0,5730.0')] ).
cnf(5864,plain,
equal(insert_pq(i(triple(u,v,w)),x),i(insert_cpq(triple(y,v,z),x))),
inference(rew,[status(thm),theory(equality)],[75,5793]),
[iquote('0:Rew:75.0,5793.0')] ).
cnf(5865,plain,
$false,
inference(unc,[status(thm)],[5864,70]),
[iquote('0:UnC:5864.0,70.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV415+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 07:44:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.11/2.31
% 2.11/2.31 SPASS V 3.9
% 2.11/2.31 SPASS beiseite: Proof found.
% 2.11/2.31 % SZS status Theorem
% 2.11/2.31 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.11/2.31 SPASS derived 5040 clauses, backtracked 0 clauses, performed 1 splits and kept 2264 clauses.
% 2.11/2.31 SPASS allocated 104417 KBytes.
% 2.11/2.31 SPASS spent 0:00:01.93 on the problem.
% 2.11/2.31 0:00:00.04 for the input.
% 2.11/2.31 0:00:00.05 for the FLOTTER CNF translation.
% 2.11/2.31 0:00:00.10 for inferences.
% 2.11/2.31 0:00:00.06 for the backtracking.
% 2.11/2.31 0:00:01.64 for the reduction.
% 2.11/2.31
% 2.11/2.31
% 2.11/2.31 Here is a proof with depth 3, length 15 :
% 2.11/2.31 % SZS output start Refutation
% See solution above
% 2.11/2.31 Formulae used in the proof : ax54 co2 ax42 ax55 big2_induction
% 2.11/2.31
%------------------------------------------------------------------------------