TSTP Solution File: SWV093+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV093+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 21:41:15 EDT 2022
% Result : Theorem 2.78s 3.00s
% Output : Refutation 2.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV093+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 01:04:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.78/3.00
% 2.78/3.00 SPASS V 3.9
% 2.78/3.00 SPASS beiseite: Proof found.
% 2.78/3.00 % SZS status Theorem
% 2.78/3.00 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.78/3.00 SPASS derived 6804 clauses, backtracked 700 clauses, performed 6 splits and kept 4117 clauses.
% 2.78/3.00 SPASS allocated 91989 KBytes.
% 2.78/3.00 SPASS spent 0:00:02.63 on the problem.
% 2.78/3.00 0:00:00.04 for the input.
% 2.78/3.00 0:00:00.10 for the FLOTTER CNF translation.
% 2.78/3.00 0:00:00.05 for inferences.
% 2.78/3.00 0:00:00.05 for the backtracking.
% 2.78/3.00 0:00:02.20 for the reduction.
% 2.78/3.00
% 2.78/3.00
% 2.78/3.00 Here is a proof with depth 3, length 136 :
% 2.78/3.00 % SZS output start Refutation
% 2.78/3.00 1[0:Inp] || -> SkC0*.
% 2.78/3.00 5[0:Inp] || -> leq(n0,skc5)*r.
% 2.78/3.00 6[0:Inp] || -> leq(n0,pv5)*r.
% 2.78/3.00 18[0:Inp] || -> gt(n0,tptp_minus_1)*r.
% 2.78/3.00 26[0:Inp] || -> gt(n1,n0)*l.
% 2.78/3.00 33[0:Inp] || -> gt(n2,n1)*l.
% 2.78/3.00 44[0:Inp] || -> leq(u,u)*.
% 2.78/3.00 45[0:Inp] || -> equal(succ(n0),n1)**.
% 2.78/3.00 46[0:Inp] || gt(u,u)* -> .
% 2.78/3.00 48[0:Inp] || -> equal(succ(tptp_minus_1),n0)**.
% 2.78/3.00 50[0:Inp] || -> leq(skc4,minus(pv5,n1))*r.
% 2.78/3.00 51[0:Inp] || -> equal(a_select2(rho_defuse,n0),use)**.
% 2.78/3.00 52[0:Inp] || -> equal(a_select2(rho_defuse,n1),use)**.
% 2.78/3.00 53[0:Inp] || -> equal(a_select2(rho_defuse,n2),use)**.
% 2.78/3.00 54[0:Inp] || -> equal(a_select2(sigma_defuse,n0),use)**.
% 2.78/3.00 55[0:Inp] || -> equal(a_select2(sigma_defuse,n1),use)**.
% 2.78/3.00 56[0:Inp] || -> equal(a_select2(sigma_defuse,n2),use)**.
% 2.78/3.00 57[0:Inp] || -> equal(a_select2(sigma_defuse,n3),use)**.
% 2.78/3.00 58[0:Inp] || -> equal(a_select2(sigma_defuse,n4),use)**.
% 2.78/3.00 59[0:Inp] || -> equal(a_select2(sigma_defuse,n5),use)**.
% 2.78/3.00 60[0:Inp] || -> equal(a_select2(xinit_defuse,n3),use)**.
% 2.78/3.00 61[0:Inp] || -> equal(a_select2(xinit_defuse,n4),use)**.
% 2.78/3.00 62[0:Inp] || -> equal(a_select2(xinit_defuse,n5),use)**.
% 2.78/3.00 63[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n0),use)**.
% 2.78/3.00 64[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n1),use)**.
% 2.78/3.00 65[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n2),use)**.
% 2.78/3.00 66[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n3),use)**.
% 2.78/3.00 67[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n4),use)**.
% 2.78/3.00 68[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n5),use)**.
% 2.78/3.00 69[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n0),use)**.
% 2.78/3.00 70[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n1),use)**.
% 2.78/3.00 71[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n2),use)**.
% 2.78/3.00 72[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n3),use)**.
% 2.78/3.00 73[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n4),use)**.
% 2.78/3.00 74[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n5),use)**.
% 2.78/3.00 75[0:Inp] || -> leq(pv5,minus(n999,n1))*r.
% 2.78/3.00 94[0:Inp] || -> equal(pred(succ(u)),u)**.
% 2.78/3.00 95[0:Inp] || -> equal(succ(pred(u)),u)**.
% 2.78/3.00 96[0:Inp] || -> equal(a_select3(u_defuse,n0,n0),use)**.
% 2.78/3.00 97[0:Inp] || -> equal(a_select3(u_defuse,n1,n0),use)**.
% 2.78/3.00 98[0:Inp] || -> equal(a_select3(u_defuse,n2,n0),use)**.
% 2.78/3.00 104[0:Inp] || -> equal(minus(u,n1),pred(u))**.
% 2.78/3.00 111[0:Inp] || gt(u,v)* -> leq(v,u).
% 2.78/3.00 119[0:Inp] || leq(u,v)*+ -> leq(u,succ(v))*.
% 2.78/3.00 141[0:Inp] || leq(u,v)* -> gt(v,u) equal(u,v).
% 2.78/3.00 145[0:Inp] || leq(u,n0)*+ leq(n0,u)* -> equal(u,n0).
% 2.78/3.00 146[0:Inp] || gt(u,v)* gt(v,w)* -> gt(u,w)*.
% 2.78/3.00 147[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*.
% 2.78/3.00 151[0:Inp] || leq(u,n1)* leq(n0,u) -> equal(u,n1) equal(u,n0).
% 2.78/3.00 153[0:Inp] || leq(u,n2)* leq(n0,u) -> equal(u,n2) equal(u,n1) equal(u,n0).
% 2.78/3.00 161[0:Inp] || SkC0 leq(n0,u) leq(u,n2) leq(v,pv5) leq(n0,v) -> equal(a_select3(z_defuse,u,v),use)**.
% 2.78/3.00 162[0:Inp] || SkC0 leq(n0,u) leq(u,n2) leq(v,pv5) leq(n0,v) -> equal(a_select3(u_defuse,u,v),use)**.
% 2.78/3.00 191[0:Inp] || equal(a_select2(rho_defuse,n0),use) equal(a_select2(rho_defuse,n1),use) equal(a_select2(rho_defuse,n2),use) equal(a_select2(sigma_defuse,n0),use) equal(a_select2(sigma_defuse,n1),use) equal(a_select2(sigma_defuse,n2),use) equal(a_select2(sigma_defuse,n3),use) equal(a_select2(sigma_defuse,n4),use) equal(a_select2(sigma_defuse,n5),use) equal(a_select3(u_defuse,n0,n0),use) equal(a_select3(u_defuse,n1,n0),use) equal(a_select3(u_defuse,n2,n0),use)** equal(a_select2(xinit_defuse,n3),use) equal(a_select2(xinit_defuse,n4),use) equal(a_select2(xinit_defuse,n5),use) equal(a_select2(xinit_mean_defuse,n0),use) equal(a_select2(xinit_mean_defuse,n1),use) equal(a_select2(xinit_mean_defuse,n2),use) equal(a_select2(xinit_mean_defuse,n3),use) equal(a_select2(xinit_mean_defuse,n4),use) equal(a_select2(xinit_mean_defuse,n5),use) equal(a_select2(xinit_noise_defuse,n0),use) equal(a_select2(xinit_noise_defuse,n1),use) equal(a_select2(xinit_noise_defuse,n2),use) equal(a_select2(xinit_noise_defuse,n3),use) equal(a_select2(xinit_noise_defuse,n4),use) equal(a_select2(xinit_noise_defuse,n5),use) leq(n0,pv5) leq(pv5,minus(n999,n1)) SkC0 -> leq(n0,skc4).
% 2.78/3.00 192[0:Inp] || equal(a_select2(rho_defuse,n0),use) equal(a_select2(rho_defuse,n1),use) equal(a_select2(rho_defuse,n2),use) equal(a_select2(sigma_defuse,n0),use) equal(a_select2(sigma_defuse,n1),use) equal(a_select2(sigma_defuse,n2),use) equal(a_select2(sigma_defuse,n3),use) equal(a_select2(sigma_defuse,n4),use) equal(a_select2(sigma_defuse,n5),use) equal(a_select3(u_defuse,n0,n0),use) equal(a_select3(u_defuse,n1,n0),use) equal(a_select3(u_defuse,n2,n0),use)** equal(a_select2(xinit_defuse,n3),use) equal(a_select2(xinit_defuse,n4),use) equal(a_select2(xinit_defuse,n5),use) equal(a_select2(xinit_mean_defuse,n0),use) equal(a_select2(xinit_mean_defuse,n1),use) equal(a_select2(xinit_mean_defuse,n2),use) equal(a_select2(xinit_mean_defuse,n3),use) equal(a_select2(xinit_mean_defuse,n4),use) equal(a_select2(xinit_mean_defuse,n5),use) equal(a_select2(xinit_noise_defuse,n0),use) equal(a_select2(xinit_noise_defuse,n1),use) equal(a_select2(xinit_noise_defuse,n2),use) equal(a_select2(xinit_noise_defuse,n3),use) equal(a_select2(xinit_noise_defuse,n4),use) equal(a_select2(xinit_noise_defuse,n5),use) leq(n0,pv5) leq(pv5,minus(n999,n1)) SkC0 -> leq(skc5,n2).
% 2.78/3.00 193[0:Inp] || equal(a_select3(u_defuse,skc5,skc4),use) equal(a_select3(z_defuse,skc5,skc4),use)** equal(a_select2(rho_defuse,n0),use) equal(a_select2(rho_defuse,n1),use) equal(a_select2(rho_defuse,n2),use) equal(a_select2(sigma_defuse,n0),use) equal(a_select2(sigma_defuse,n1),use) equal(a_select2(sigma_defuse,n2),use) equal(a_select2(sigma_defuse,n3),use) equal(a_select2(sigma_defuse,n4),use) equal(a_select2(sigma_defuse,n5),use) equal(a_select3(u_defuse,n0,n0),use) equal(a_select3(u_defuse,n1,n0),use) equal(a_select3(u_defuse,n2,n0),use) equal(a_select2(xinit_defuse,n3),use) equal(a_select2(xinit_defuse,n4),use) equal(a_select2(xinit_defuse,n5),use) equal(a_select2(xinit_mean_defuse,n0),use) equal(a_select2(xinit_mean_defuse,n1),use) equal(a_select2(xinit_mean_defuse,n2),use) equal(a_select2(xinit_mean_defuse,n3),use) equal(a_select2(xinit_mean_defuse,n4),use) equal(a_select2(xinit_mean_defuse,n5),use) equal(a_select2(xinit_noise_defuse,n0),use) equal(a_select2(xinit_noise_defuse,n1),use) equal(a_select2(xinit_noise_defuse,n2),use) equal(a_select2(xinit_noise_defuse,n3),use) equal(a_select2(xinit_noise_defuse,n4),use) equal(a_select2(xinit_noise_defuse,n5),use) leq(n0,pv5) leq(pv5,minus(n999,n1)) SkC0 -> .
% 2.78/3.00 209[0:Rew:104.0,75.0] || -> leq(pv5,pred(n999))*r.
% 2.78/3.00 210[0:Rew:104.0,50.0] || -> leq(skc4,pred(pv5))*r.
% 2.78/3.00 211[0:MRR:161.0,1.0] || leq(u,pv5) leq(v,n2) leq(n0,u) leq(n0,v) -> equal(a_select3(z_defuse,v,u),use)**.
% 2.78/3.00 212[0:MRR:162.0,1.0] || leq(u,pv5) leq(v,n2) leq(n0,u) leq(n0,v) -> equal(a_select3(u_defuse,v,u),use)**.
% 2.78/3.00 215[0:Rew:104.0,191.28,74.0,191.26,73.0,191.25,72.0,191.24,71.0,191.23,70.0,191.22,69.0,191.21,68.0,191.20,67.0,191.19,66.0,191.18,65.0,191.17,64.0,191.16,63.0,191.15,62.0,191.14,61.0,191.13,60.0,191.12,98.0,191.11,97.0,191.10,96.0,191.9,59.0,191.8,58.0,191.7,57.0,191.6,56.0,191.5,55.0,191.4,54.0,191.3,53.0,191.2,52.0,191.1,51.0,191.0] || equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) leq(n0,pv5) leq(pv5,pred(n999))*r SkC0 -> leq(n0,skc4).
% 2.78/3.00 216[0:Obv:215.26] || leq(n0,pv5) leq(pv5,pred(n999))*r SkC0 -> leq(n0,skc4).
% 2.78/3.00 217[0:MRR:216.0,216.1,216.2,6.0,209.0,1.0] || -> leq(n0,skc4)*r.
% 2.78/3.00 218[0:Rew:104.0,192.28,74.0,192.26,73.0,192.25,72.0,192.24,71.0,192.23,70.0,192.22,69.0,192.21,68.0,192.20,67.0,192.19,66.0,192.18,65.0,192.17,64.0,192.16,63.0,192.15,62.0,192.14,61.0,192.13,60.0,192.12,98.0,192.11,97.0,192.10,96.0,192.9,59.0,192.8,58.0,192.7,57.0,192.6,56.0,192.5,55.0,192.4,54.0,192.3,53.0,192.2,52.0,192.1,51.0,192.0] || equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) leq(n0,pv5) leq(pv5,pred(n999))*r SkC0 -> leq(skc5,n2).
% 2.87/3.04 219[0:Obv:218.26] || leq(n0,pv5) leq(pv5,pred(n999))*r SkC0 -> leq(skc5,n2).
% 2.87/3.04 220[0:MRR:219.0,219.1,219.2,6.0,209.0,1.0] || -> leq(skc5,n2)*l.
% 2.87/3.04 221[0:Rew:104.0,193.30,74.0,193.28,73.0,193.27,72.0,193.26,71.0,193.25,70.0,193.24,69.0,193.23,68.0,193.22,67.0,193.21,66.0,193.20,65.0,193.19,64.0,193.18,63.0,193.17,62.0,193.16,61.0,193.15,60.0,193.14,98.0,193.13,97.0,193.12,96.0,193.11,59.0,193.10,58.0,193.9,57.0,193.8,56.0,193.7,55.0,193.6,54.0,193.5,53.0,193.4,52.0,193.3,51.0,193.2] || equal(a_select3(u_defuse,skc5,skc4),use) equal(a_select3(z_defuse,skc5,skc4),use)** equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) equal(use,use) leq(n0,pv5) leq(pv5,pred(n999)) SkC0 -> .
% 2.87/3.04 222[0:Obv:221.28] || equal(a_select3(u_defuse,skc5,skc4),use) equal(a_select3(z_defuse,skc5,skc4),use)** leq(n0,pv5) leq(pv5,pred(n999)) SkC0 -> .
% 2.87/3.04 223[0:MRR:222.2,222.3,222.4,6.0,209.0,1.0] || equal(a_select3(z_defuse,skc5,skc4),use)** equal(a_select3(u_defuse,skc5,skc4),use) -> .
% 2.87/3.04 369[0:Res:6.0,151.0] || leq(pv5,n1)*l -> equal(pv5,n1) equal(pv5,n0).
% 2.87/3.04 404[0:Res:6.0,141.0] || -> gt(pv5,n0)*l equal(pv5,n0).
% 2.87/3.04 534[1:Spt:369.1] || -> equal(pv5,n1)**.
% 2.87/3.04 543[1:Rew:534.0,210.0] || -> leq(skc4,pred(n1))*r.
% 2.87/3.04 576[1:Rew:534.0,211.0] || leq(u,n1) leq(v,n2) leq(n0,u) leq(n0,v) -> equal(a_select3(z_defuse,v,u),use)**.
% 2.87/3.04 577[1:Rew:534.0,212.0] || leq(u,n1) leq(v,n2) leq(n0,u) leq(n0,v) -> equal(a_select3(u_defuse,v,u),use)**.
% 2.87/3.04 615[1:Rew:534.0,6.0] || -> leq(n0,n1)*r.
% 2.87/3.04 889[0:SpR:48.0,94.0] || -> equal(pred(n0),tptp_minus_1)**.
% 2.87/3.04 890[0:SpR:45.0,94.0] || -> equal(pred(n1),n0)**.
% 2.87/3.04 897[1:Rew:890.0,543.0] || -> leq(skc4,n0)*l.
% 2.87/3.04 1033[0:OCh:147.1,147.0,220.0,5.0] || -> leq(n0,n2)*r.
% 2.87/3.04 1445[0:NCh:146.2,146.1,46.0,18.0] || gt(tptp_minus_1,n0)*l -> .
% 2.87/3.04 1446[0:NCh:146.2,146.1,46.0,18.0] || equal(tptp_minus_1,n0)** -> .
% 2.87/3.04 3598[0:Res:33.0,111.0] || -> leq(n1,n2)*r.
% 2.87/3.04 3605[0:Res:26.0,111.0] || -> leq(n0,n1)*r.
% 2.87/3.04 3613[0:Res:18.0,111.0] || -> leq(tptp_minus_1,n0)*l.
% 2.87/3.04 5778[1:Res:897.0,145.0] || leq(n0,skc4)*r -> equal(skc4,n0).
% 2.87/3.04 5864[1:MRR:5778.0,217.0] || -> equal(skc4,n0)**.
% 2.87/3.04 5867[1:Rew:5864.0,223.0] || equal(a_select3(z_defuse,skc5,n0),use)** equal(a_select3(u_defuse,skc5,skc4),use) -> .
% 2.87/3.04 5916[1:Rew:5864.0,5867.1] || equal(a_select3(z_defuse,skc5,n0),use)** equal(a_select3(u_defuse,skc5,n0),use) -> .
% 2.87/3.04 6275[0:Res:220.0,153.0] || leq(n0,skc5)*r -> equal(skc5,n2) equal(skc5,n1) equal(skc5,n0).
% 2.87/3.04 6370[0:MRR:6275.0,5.0] || -> equal(skc5,n2)** equal(skc5,n1) equal(skc5,n0).
% 2.87/3.04 7948[1:SpL:576.4,5916.0] || leq(n0,n1) leq(skc5,n2) leq(n0,n0) leq(n0,skc5) equal(use,use) equal(a_select3(u_defuse,skc5,n0),use)** -> .
% 2.87/3.04 7952[1:Obv:7948.4] || leq(n0,n1) leq(skc5,n2) leq(n0,n0) leq(n0,skc5) equal(a_select3(u_defuse,skc5,n0),use)** -> .
% 2.87/3.04 7953[1:Rew:577.4,7952.4] || leq(n0,n1) leq(skc5,n2) leq(n0,n0) leq(n0,skc5) equal(use,use)* -> .
% 2.87/3.04 7954[1:Obv:7953.4] || leq(n0,n1) leq(skc5,n2)*l leq(n0,n0) leq(n0,skc5) -> .
% 2.87/3.04 7955[1:MRR:7954.0,7954.1,7954.2,7954.3,615.0,220.0,44.0,5.0] || -> .
% 2.87/3.04 7959[1:Spt:7955.0,369.1,534.0] || equal(pv5,n1)** -> .
% 2.87/3.04 7960[1:Spt:7955.0,369.0,369.2] || leq(pv5,n1)*l -> equal(pv5,n0).
% 2.87/3.04 8145[2:Spt:404.1] || -> equal(pv5,n0)**.
% 2.87/3.04 8154[2:Rew:8145.0,210.0] || -> leq(skc4,pred(n0))*r.
% 2.87/3.04 8240[2:Rew:889.0,8154.0] || -> leq(skc4,tptp_minus_1)*l.
% 2.87/3.04 8460[2:Res:8240.0,141.0] || -> gt(tptp_minus_1,skc4)*r equal(skc4,tptp_minus_1).
% 2.87/3.04 8472[2:NCh:147.2,147.0,8240.0,145.0] || leq(tptp_minus_1,n0) leq(n0,skc4)*r -> equal(skc4,n0).
% 2.87/3.04 8489[2:MRR:8472.0,8472.1,3613.0,217.0] || -> equal(skc4,n0)**.
% 2.87/3.04 8506[2:Rew:8489.0,8460.0] || -> gt(tptp_minus_1,n0) equal(skc4,tptp_minus_1)**.
% 2.87/3.04 8515[2:Rew:8489.0,8506.1] || -> gt(tptp_minus_1,n0)*l equal(tptp_minus_1,n0).
% 2.87/3.04 8516[2:MRR:8515.0,8515.1,1445.0,1446.0] || -> .
% 2.87/3.04 8531[2:Spt:8516.0,404.1,8145.0] || equal(pv5,n0)** -> .
% 2.87/3.04 8532[2:Spt:8516.0,404.0] || -> gt(pv5,n0)*l.
% 2.87/3.04 8634[0:Res:210.0,119.0] || -> leq(skc4,succ(pred(pv5)))*r.
% 2.87/3.04 8647[0:Rew:95.0,8634.0] || -> leq(skc4,pv5)*l.
% 2.87/3.04 8851[3:Spt:6370.0] || -> equal(skc5,n2)**.
% 2.87/3.04 8872[3:Rew:8851.0,223.0] || equal(a_select3(z_defuse,n2,skc4),use)** equal(a_select3(u_defuse,skc5,skc4),use) -> .
% 2.87/3.04 9028[3:Rew:8851.0,8872.1] || equal(a_select3(z_defuse,n2,skc4),use)** equal(a_select3(u_defuse,n2,skc4),use) -> .
% 2.87/3.04 9089[3:SpL:211.4,9028.0] || leq(skc4,pv5) leq(n2,n2) leq(n0,skc4) leq(n0,n2) equal(use,use) equal(a_select3(u_defuse,n2,skc4),use)** -> .
% 2.87/3.04 9090[3:Obv:9089.4] || leq(skc4,pv5) leq(n2,n2) leq(n0,skc4) leq(n0,n2) equal(a_select3(u_defuse,n2,skc4),use)** -> .
% 2.87/3.04 9091[3:Rew:212.4,9090.4] || leq(skc4,pv5) leq(n2,n2) leq(n0,skc4) leq(n0,n2) equal(use,use)* -> .
% 2.87/3.04 9092[3:Obv:9091.4] || leq(skc4,pv5)*l leq(n2,n2) leq(n0,skc4) leq(n0,n2) -> .
% 2.87/3.04 9093[3:MRR:9092.0,9092.1,9092.2,9092.3,8647.0,44.0,217.0,1033.0] || -> .
% 2.87/3.04 9097[3:Spt:9093.0,6370.0,8851.0] || equal(skc5,n2)** -> .
% 2.87/3.04 9098[3:Spt:9093.0,6370.1,6370.2] || -> equal(skc5,n1)** equal(skc5,n0).
% 2.87/3.04 9101[4:Spt:9098.0] || -> equal(skc5,n1)**.
% 2.87/3.04 9218[4:Rew:9101.0,223.0] || equal(a_select3(z_defuse,n1,skc4),use)** equal(a_select3(u_defuse,skc5,skc4),use) -> .
% 2.87/3.04 9267[4:Rew:9101.0,9218.1] || equal(a_select3(z_defuse,n1,skc4),use)** equal(a_select3(u_defuse,n1,skc4),use) -> .
% 2.87/3.04 9330[4:SpL:211.4,9267.0] || leq(skc4,pv5) leq(n1,n2) leq(n0,skc4) leq(n0,n1) equal(use,use) equal(a_select3(u_defuse,n1,skc4),use)** -> .
% 2.87/3.04 9331[4:Obv:9330.4] || leq(skc4,pv5) leq(n1,n2) leq(n0,skc4) leq(n0,n1) equal(a_select3(u_defuse,n1,skc4),use)** -> .
% 2.87/3.04 9332[4:Rew:212.4,9331.4] || leq(skc4,pv5) leq(n1,n2) leq(n0,skc4) leq(n0,n1) equal(use,use)* -> .
% 2.87/3.04 9333[4:Obv:9332.4] || leq(skc4,pv5)*l leq(n1,n2) leq(n0,skc4) leq(n0,n1) -> .
% 2.87/3.04 9334[4:MRR:9333.0,9333.1,9333.2,9333.3,8647.0,3598.0,217.0,3605.0] || -> .
% 2.87/3.04 9335[4:Spt:9334.0,9098.0,9101.0] || equal(skc5,n1)** -> .
% 2.87/3.04 9336[4:Spt:9334.0,9098.1] || -> equal(skc5,n0)**.
% 2.87/3.04 9419[4:Rew:9336.0,223.1,9336.0,223.0] || equal(a_select3(z_defuse,n0,skc4),use)** equal(a_select3(u_defuse,n0,skc4),use) -> .
% 2.87/3.04 9577[4:SpL:211.4,9419.0] || leq(skc4,pv5) leq(n0,n2) leq(n0,skc4) leq(n0,n0) equal(use,use) equal(a_select3(u_defuse,n0,skc4),use)** -> .
% 2.87/3.04 9578[4:Obv:9577.4] || leq(skc4,pv5) leq(n0,n2) leq(n0,skc4) leq(n0,n0) equal(a_select3(u_defuse,n0,skc4),use)** -> .
% 2.87/3.04 9579[4:Rew:212.4,9578.4] || leq(skc4,pv5) leq(n0,n2) leq(n0,skc4) leq(n0,n0) equal(use,use)* -> .
% 2.87/3.04 9580[4:Obv:9579.4] || leq(skc4,pv5)*l leq(n0,n2) leq(n0,skc4) leq(n0,n0) -> .
% 2.87/3.04 9581[4:MRR:9580.0,9580.1,9580.2,9580.3,8647.0,1033.0,217.0,44.0] || -> .
% 2.87/3.04 % SZS output end Refutation
% 2.87/3.04 Formulae used in the proof : quaternion_ds1_inuse_0005 gt_succ leq_succ_gt_equiv gt_0_tptp_minus_1 gt_1_0 gt_2_1 reflexivity_leq successor_1 irreflexivity_gt succ_tptp_minus_1 pred_succ succ_pred pred_minus_1 leq_gt1 leq_succ leq_gt2 finite_domain_0 transitivity_gt transitivity_leq finite_domain_1 finite_domain_2
% 2.87/3.04
%------------------------------------------------------------------------------