TSTP Solution File: SWC288+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC288+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Tue Jul 19 22:03:05 EDT 2022
% Result : Theorem 0.97s 1.15s
% Output : Refutation 0.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC288+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Sun Jun 12 03:07:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.97/1.15
% 0.97/1.15 SPASS V 3.9
% 0.97/1.15 SPASS beiseite: Proof found.
% 0.97/1.15 % SZS status Theorem
% 0.97/1.15 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/1.15 SPASS derived 1356 clauses, backtracked 783 clauses, performed 24 splits and kept 1823 clauses.
% 0.97/1.15 SPASS allocated 99263 KBytes.
% 0.97/1.15 SPASS spent 0:00:00.78 on the problem.
% 0.97/1.15 0:00:00.04 for the input.
% 0.97/1.15 0:00:00.07 for the FLOTTER CNF translation.
% 0.97/1.15 0:00:00.01 for inferences.
% 0.97/1.15 0:00:00.01 for the backtracking.
% 0.97/1.15 0:00:00.48 for the reduction.
% 0.97/1.15
% 0.97/1.15
% 0.97/1.15 Here is a proof with depth 2, length 38 :
% 0.97/1.15 % SZS output start Refutation
% 0.97/1.15 1[0:Inp] || -> ssList(skc5)*.
% 0.97/1.15 2[0:Inp] || -> ssList(skc4)*.
% 0.97/1.15 10[0:Inp] || -> strictorderedP(nil)*.
% 0.97/1.15 13[0:Inp] || strictorderedP(skc4)* -> .
% 0.97/1.15 54[0:Inp] || -> ssItem(skf46(u,v))*.
% 0.97/1.15 70[0:Inp] || SkP0(skc5,skc4)* -> equal(nil,skc5).
% 0.97/1.15 71[0:Inp] || SkP0(skc5,skc4)* -> equal(nil,skc4).
% 0.97/1.15 77[0:Inp] ssItem(u) || -> strictorderedP(cons(u,nil))*.
% 0.97/1.15 87[0:Inp] || -> SkP0(u,v) equal(cons(skf46(u,v),nil),v)**.
% 0.97/1.15 190[0:Inp] ssList(u) ssList(v) || equal(tl(u),tl(v))* equal(hd(u),hd(v)) -> equal(u,v) equal(nil,v) equal(nil,u).
% 0.97/1.15 199[0:Rew:71.1,70.1] || SkP0(skc5,skc4)* -> equal(skc5,skc4).
% 0.97/1.15 288[0:Res:2.0,190.1] ssList(u) || equal(tl(skc4),tl(u))* equal(hd(skc4),hd(u)) -> equal(nil,u) equal(skc4,u) equal(nil,skc4).
% 0.97/1.15 459[0:Res:1.0,190.1] ssList(u) || equal(tl(skc5),tl(u))* equal(hd(skc5),hd(u)) -> equal(nil,u) equal(skc5,u) equal(nil,skc5).
% 0.97/1.15 562[1:Spt:459.5] || -> equal(nil,skc5)**.
% 0.97/1.15 565[1:Rew:562.0,77.1] ssItem(u) || -> strictorderedP(cons(u,skc5))*.
% 0.97/1.15 636[1:Rew:562.0,10.0] || -> strictorderedP(skc5)*.
% 0.97/1.15 663[1:Rew:562.0,87.1] || -> SkP0(u,v) equal(cons(skf46(u,v),skc5),v)**.
% 0.97/1.15 762[2:Spt:199.1] || -> equal(skc5,skc4)**.
% 0.97/1.15 865[2:Rew:762.0,636.0] || -> strictorderedP(skc4)*.
% 0.97/1.15 914[2:MRR:865.0,13.0] || -> .
% 0.97/1.15 1012[2:Spt:914.0,199.1,762.0] || equal(skc5,skc4)** -> .
% 0.97/1.15 1013[2:Spt:914.0,199.0] || SkP0(skc5,skc4)* -> .
% 0.97/1.15 1483[1:SpR:663.1,565.1] ssItem(skf46(u,v)) || -> SkP0(u,v)* strictorderedP(v).
% 0.97/1.15 1496[1:SSi:1483.0,54.0] || -> SkP0(u,v)* strictorderedP(v).
% 0.97/1.15 1509[2:Res:1496.0,1013.0] || -> strictorderedP(skc4)*.
% 0.97/1.15 1510[2:MRR:1509.0,13.0] || -> .
% 0.97/1.15 1511[1:Spt:1510.0,459.5,562.0] || equal(nil,skc5)** -> .
% 0.97/1.15 1512[1:Spt:1510.0,459.0,459.1,459.2,459.3,459.4] ssList(u) || equal(tl(skc5),tl(u))* equal(hd(skc5),hd(u)) -> equal(nil,u) equal(skc5,u).
% 0.97/1.15 1536[2:Spt:288.5] || -> equal(nil,skc4)**.
% 0.97/1.15 1543[2:Rew:1536.0,10.0] || -> strictorderedP(skc4)*.
% 0.97/1.15 1629[2:MRR:1543.0,13.0] || -> .
% 0.97/1.15 1708[2:Spt:1629.0,288.5,1536.0] || equal(nil,skc4)** -> .
% 0.97/1.15 1709[2:Spt:1629.0,288.0,288.1,288.2,288.3,288.4] ssList(u) || equal(tl(skc4),tl(u))* equal(hd(skc4),hd(u)) -> equal(nil,u) equal(skc4,u).
% 0.97/1.15 1715[2:MRR:71.1,1708.0] || SkP0(skc5,skc4)* -> .
% 0.97/1.15 1830[0:SpR:87.1,77.1] ssItem(skf46(u,v)) || -> SkP0(u,v)* strictorderedP(v).
% 0.97/1.15 1838[0:SSi:1830.0,54.0] || -> SkP0(u,v)* strictorderedP(v).
% 0.97/1.15 1847[2:Res:1838.0,1715.0] || -> strictorderedP(skc4)*.
% 0.97/1.15 1848[2:MRR:1847.0,13.0] || -> .
% 0.97/1.15 % SZS output end Refutation
% 0.97/1.15 Formulae used in the proof : co1 ax2 ax17 ax69 ax68 ax77
% 0.97/1.15
%------------------------------------------------------------------------------