TSTP Solution File: SWV374+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV374+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 21:42:34 EDT 2022
% Result : Theorem 2.50s 2.67s
% Output : Refutation 2.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV374+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 18:23:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.50/2.67
% 2.50/2.67 SPASS V 3.9
% 2.50/2.67 SPASS beiseite: Proof found.
% 2.50/2.67 % SZS status Theorem
% 2.50/2.67 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/2.67 SPASS derived 2949 clauses, backtracked 4 clauses, performed 2 splits and kept 1818 clauses.
% 2.50/2.67 SPASS allocated 90645 KBytes.
% 2.50/2.67 SPASS spent 0:00:02.28 on the problem.
% 2.50/2.67 0:00:00.04 for the input.
% 2.50/2.67 0:00:00.04 for the FLOTTER CNF translation.
% 2.50/2.67 0:00:00.07 for inferences.
% 2.50/2.67 0:00:00.01 for the backtracking.
% 2.50/2.67 0:00:02.09 for the reduction.
% 2.50/2.67
% 2.50/2.67
% 2.50/2.67 Here is a proof with depth 3, length 24 :
% 2.50/2.67 % SZS output start Refutation
% 2.50/2.67 10[0:Inp] || -> ok(findmin_cpq_eff(triple(skc3,skc4,skc5)))*.
% 2.50/2.67 11[0:Inp] || -> less_than(u,v)* less_than(v,u)*.
% 2.50/2.67 13[0:Inp] || ok(triple(u,v,bad))* -> .
% 2.50/2.67 25[0:Inp] || less_than(u,v) -> less_than(v,u) strictly_less_than(u,v)*.
% 2.50/2.67 28[0:Inp] || -> equal(findmin_cpq_eff(triple(u,create_slb,v)),triple(u,create_slb,bad))**.
% 2.50/2.67 37[0:Inp] || contains_slb(skc4,findmin_pqp_res(skc3)) less_than(lookup_slb(skc4,findmin_pqp_res(skc3)),findmin_pqp_res(skc3))*l -> equal(skc4,create_slb).
% 2.50/2.67 47[0:Inp] || -> equal(u,create_slb) contains_slb(u,findmin_pqp_res(v)) equal(findmin_cpq_eff(triple(v,u,w)),triple(v,update_slb(u,findmin_pqp_res(v)),bad))*.
% 2.50/2.67 52[0:Inp] || strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u))) contains_slb(v,findmin_pqp_res(u)) -> equal(findmin_cpq_eff(triple(u,v,w)),triple(u,update_slb(v,findmin_pqp_res(u)),bad))* equal(v,create_slb).
% 2.50/2.67 56[0:MRR:25.0,11.0] || -> strictly_less_than(u,v)* less_than(v,u).
% 2.50/2.67 57[0:MRR:52.1,47.1] || strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u))) -> equal(v,create_slb) equal(findmin_cpq_eff(triple(u,v,w)),triple(u,update_slb(v,findmin_pqp_res(u)),bad))*.
% 2.50/2.67 243[0:SpL:47.2,13.0] || ok(findmin_cpq_eff(triple(u,v,w)))* -> equal(v,create_slb) contains_slb(v,findmin_pqp_res(u)).
% 2.50/2.67 260[0:Res:10.0,243.0] || -> equal(skc4,create_slb) contains_slb(skc4,findmin_pqp_res(skc3))*.
% 2.50/2.67 261[0:MRR:37.0,260.1] || less_than(lookup_slb(skc4,findmin_pqp_res(skc3)),findmin_pqp_res(skc3))*l -> equal(skc4,create_slb).
% 2.50/2.67 263[1:Spt:260.0] || -> equal(skc4,create_slb)**.
% 2.50/2.67 264[1:Rew:263.0,10.0] || -> ok(findmin_cpq_eff(triple(skc3,create_slb,skc5)))*.
% 2.50/2.67 265[1:Rew:28.0,264.0] || -> ok(triple(skc3,create_slb,bad))*.
% 2.50/2.67 266[1:MRR:265.0,13.0] || -> .
% 2.50/2.67 267[1:Spt:266.0,260.0,263.0] || equal(skc4,create_slb)** -> .
% 2.50/2.67 268[1:Spt:266.0,260.1] || -> contains_slb(skc4,findmin_pqp_res(skc3))*.
% 2.50/2.67 269[1:MRR:261.1,267.0] || less_than(lookup_slb(skc4,findmin_pqp_res(skc3)),findmin_pqp_res(skc3))*l -> .
% 2.50/2.67 338[0:SpL:57.2,13.0] || strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u)))*+ ok(findmin_cpq_eff(triple(u,v,w)))* -> equal(v,create_slb).
% 2.50/2.67 442[0:Res:56.0,338.0] || ok(findmin_cpq_eff(triple(u,v,w)))* -> less_than(lookup_slb(v,findmin_pqp_res(u)),findmin_pqp_res(u)) equal(v,create_slb).
% 2.50/2.67 3461[0:Res:10.0,442.0] || -> less_than(lookup_slb(skc4,findmin_pqp_res(skc3)),findmin_pqp_res(skc3))*l equal(skc4,create_slb).
% 2.50/2.67 3462[1:MRR:3461.0,3461.1,269.0,267.0] || -> .
% 2.50/2.67 % SZS output end Refutation
% 2.50/2.67 Formulae used in the proof : l10_co totality ax40 stricly_smaller_definition ax46 ax47 ax48
% 2.50/2.67
%------------------------------------------------------------------------------