TSTP Solution File: SWV094+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV094+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 3.19s 3.38s
% Output : Refutation 3.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV094+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n004.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 : Wed Jun 15 16:22:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.19/3.38
% 3.19/3.38 SPASS V 3.9
% 3.19/3.38 SPASS beiseite: Proof found.
% 3.19/3.38 % SZS status Theorem
% 3.19/3.38 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.19/3.38 SPASS derived 6767 clauses, backtracked 763 clauses, performed 8 splits and kept 4340 clauses.
% 3.19/3.38 SPASS allocated 92082 KBytes.
% 3.19/3.38 SPASS spent 0:00:03.03 on the problem.
% 3.19/3.38 0:00:00.04 for the input.
% 3.19/3.38 0:00:00.12 for the FLOTTER CNF translation.
% 3.19/3.38 0:00:00.05 for inferences.
% 3.19/3.38 0:00:00.06 for the backtracking.
% 3.19/3.38 0:00:02.61 for the reduction.
% 3.19/3.38
% 3.19/3.38
% 3.19/3.38 Here is a proof with depth 2, length 135 :
% 3.19/3.38 % SZS output start Refutation
% 3.19/3.38 2[0:Inp] || -> leq(n0,skc7)*r.
% 3.19/3.38 3[0:Inp] || -> leq(n0,skc5)*r.
% 3.19/3.38 4[0:Inp] || -> leq(n0,pv5)*r.
% 3.19/3.38 5[0:Inp] || -> leq(n0,pv51)*r.
% 3.19/3.38 6[0:Inp] || -> leq(n0,pv52)*r.
% 3.19/3.38 49[0:Inp] || -> leq(skc6,minus(pv5,n1))*r.
% 3.19/3.38 50[0:Inp] || -> leq(skc4,minus(pv5,n1))*r.
% 3.19/3.38 51[0:Inp] || -> equal(a_select2(rho_defuse,n0),use)**.
% 3.19/3.38 52[0:Inp] || -> equal(a_select2(rho_defuse,n1),use)**.
% 3.19/3.38 53[0:Inp] || -> equal(a_select2(rho_defuse,n2),use)**.
% 3.19/3.38 54[0:Inp] || -> equal(a_select2(sigma_defuse,n0),use)**.
% 3.19/3.38 55[0:Inp] || -> equal(a_select2(sigma_defuse,n1),use)**.
% 3.19/3.38 56[0:Inp] || -> equal(a_select2(sigma_defuse,n2),use)**.
% 3.19/3.38 57[0:Inp] || -> equal(a_select2(sigma_defuse,n3),use)**.
% 3.19/3.38 58[0:Inp] || -> equal(a_select2(sigma_defuse,n4),use)**.
% 3.19/3.38 59[0:Inp] || -> equal(a_select2(sigma_defuse,n5),use)**.
% 3.19/3.38 60[0:Inp] || -> equal(a_select2(xinit_defuse,n3),use)**.
% 3.19/3.38 61[0:Inp] || -> equal(a_select2(xinit_defuse,n4),use)**.
% 3.19/3.38 62[0:Inp] || -> equal(a_select2(xinit_defuse,n5),use)**.
% 3.19/3.38 63[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n0),use)**.
% 3.19/3.38 64[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n1),use)**.
% 3.19/3.38 65[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n2),use)**.
% 3.19/3.38 66[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n3),use)**.
% 3.19/3.38 67[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n4),use)**.
% 3.19/3.38 68[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n5),use)**.
% 3.19/3.38 69[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n0),use)**.
% 3.19/3.38 70[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n1),use)**.
% 3.19/3.38 71[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n2),use)**.
% 3.19/3.38 72[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n3),use)**.
% 3.19/3.38 73[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n4),use)**.
% 3.19/3.38 74[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n5),use)**.
% 3.19/3.38 75[0:Inp] || -> leq(pv5,minus(n999,n1))*r.
% 3.19/3.38 76[0:Inp] || -> leq(pv51,minus(n6,n1))*r.
% 3.19/3.38 78[0:Inp] || SkC0* -> equal(pv52,pv51).
% 3.19/3.38 79[0:Inp] || equal(pv52,pv51) -> SkC0*.
% 3.19/3.38 99[0:Inp] || -> equal(a_select3(u_defuse,n0,n0),use)**.
% 3.19/3.38 100[0:Inp] || -> equal(a_select3(u_defuse,n1,n0),use)**.
% 3.19/3.38 101[0:Inp] || -> equal(a_select3(u_defuse,n2,n0),use)**.
% 3.19/3.38 107[0:Inp] || -> equal(minus(u,n1),pred(u))**.
% 3.19/3.38 154[0:Inp] || leq(u,n1)* leq(n0,u) -> equal(u,n1) equal(u,n0).
% 3.19/3.38 164[0:Inp] || leq(n0,u) leq(u,n2) leq(v,minus(pv5,n1)) leq(n0,v) -> equal(a_select3(z_defuse,u,v),use)**.
% 3.19/3.38 165[0:Inp] || leq(n0,u) leq(u,n2) leq(v,minus(pv5,n1)) leq(n0,v) -> equal(a_select3(u_defuse,u,v),use)**.
% 3.19/3.38 192[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(n0,pv51) leq(pv5,minus(n999,n1)) leq(pv51,minus(n6,n1)) -> leq(n0,skc6) SkC0.
% 3.19/3.38 193[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(n0,pv51) leq(pv5,minus(n999,n1)) leq(pv51,minus(n6,n1)) -> leq(skc7,n2) SkC0.
% 3.19/3.38 194[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(n0,pv51) leq(pv5,minus(n999,n1)) leq(pv51,minus(n6,n1)) SkC0 -> leq(n0,skc4).
% 3.19/3.38 195[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(n0,pv51) leq(pv5,minus(n999,n1)) leq(pv51,minus(n6,n1)) SkC0 -> leq(skc5,n2).
% 3.19/3.38 196[0:Inp] || equal(a_select3(u_defuse,skc7,skc6),use) equal(a_select3(z_defuse,skc7,skc6),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(n0,pv51) leq(pv5,minus(n999,n1)) leq(pv51,minus(n6,n1)) -> SkC0.
% 3.19/3.38 197[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(n0,pv51) leq(pv5,minus(n999,n1)) leq(pv51,minus(n6,n1)) SkC0 -> .
% 3.19/3.38 213[0:Rew:107.0,76.0] || -> leq(pv51,pred(n6))*r.
% 3.19/3.38 214[0:Rew:107.0,75.0] || -> leq(pv5,pred(n999))*r.
% 3.19/3.38 215[0:Rew:107.0,50.0] || -> leq(skc4,pred(pv5))*r.
% 3.19/3.38 216[0:Rew:107.0,49.0] || -> leq(skc6,pred(pv5))*r.
% 3.19/3.38 217[0:Rew:107.0,164.2] || leq(u,n2) leq(v,pred(pv5)) leq(n0,v) leq(n0,u) -> equal(a_select3(z_defuse,u,v),use)**.
% 3.19/3.38 218[0:Rew:107.0,165.2] || leq(u,n2) leq(v,pred(pv5)) leq(n0,v) leq(n0,u) -> equal(a_select3(u_defuse,u,v),use)**.
% 3.19/3.38 219[0:Rew:107.0,192.30,107.0,192.29,74.0,192.26,73.0,192.25,72.0,192.24,71.0,192.23,70.0,192.22,69.0,192.21,68.0,192.20,67.0,192.19,66.0,192.18,65.0,192.17,64.0,192.16,63.0,192.15,62.0,192.14,61.0,192.13,60.0,192.12,101.0,192.11,100.0,192.10,99.0,192.9,59.0,192.8,58.0,192.7,57.0,192.6,56.0,192.5,55.0,192.4,54.0,192.3,53.0,192.2,52.0,192.1,51.0,192.0] || 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(n0,pv51) leq(pv5,pred(n999)) leq(pv51,pred(n6))*r -> leq(n0,skc6) SkC0.
% 3.19/3.38 220[0:Obv:219.26] || leq(n0,pv5) leq(n0,pv51) leq(pv5,pred(n999)) leq(pv51,pred(n6))*r -> leq(n0,skc6) SkC0.
% 3.19/3.38 221[0:MRR:220.0,220.1,220.2,220.3,4.0,5.0,214.0,213.0] || -> SkC0* leq(n0,skc6).
% 3.19/3.38 222[0:Rew:107.0,193.30,107.0,193.29,74.0,193.26,73.0,193.25,72.0,193.24,71.0,193.23,70.0,193.22,69.0,193.21,68.0,193.20,67.0,193.19,66.0,193.18,65.0,193.17,64.0,193.16,63.0,193.15,62.0,193.14,61.0,193.13,60.0,193.12,101.0,193.11,100.0,193.10,99.0,193.9,59.0,193.8,58.0,193.7,57.0,193.6,56.0,193.5,55.0,193.4,54.0,193.3,53.0,193.2,52.0,193.1,51.0,193.0] || 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(n0,pv51) leq(pv5,pred(n999)) leq(pv51,pred(n6))*r -> leq(skc7,n2) SkC0.
% 3.19/3.38 223[0:Obv:222.26] || leq(n0,pv5) leq(n0,pv51) leq(pv5,pred(n999)) leq(pv51,pred(n6))*r -> leq(skc7,n2) SkC0.
% 3.19/3.38 224[0:MRR:223.0,223.1,223.2,223.3,4.0,5.0,214.0,213.0] || -> SkC0* leq(skc7,n2).
% 3.19/3.38 225[0:Rew:107.0,194.30,107.0,194.29,74.0,194.26,73.0,194.25,72.0,194.24,71.0,194.23,70.0,194.22,69.0,194.21,68.0,194.20,67.0,194.19,66.0,194.18,65.0,194.17,64.0,194.16,63.0,194.15,62.0,194.14,61.0,194.13,60.0,194.12,101.0,194.11,100.0,194.10,99.0,194.9,59.0,194.8,58.0,194.7,57.0,194.6,56.0,194.5,55.0,194.4,54.0,194.3,53.0,194.2,52.0,194.1,51.0,194.0] || 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(n0,pv51) leq(pv5,pred(n999)) leq(pv51,pred(n6))*r SkC0 -> leq(n0,skc4).
% 3.19/3.38 226[0:Obv:225.26] || leq(n0,pv5) leq(n0,pv51) leq(pv5,pred(n999)) leq(pv51,pred(n6))*r SkC0 -> leq(n0,skc4).
% 3.19/3.38 227[0:MRR:226.0,226.1,226.2,226.3,4.0,5.0,214.0,213.0] || SkC0* -> leq(n0,skc4).
% 3.19/3.38 228[0:Rew:107.0,195.30,107.0,195.29,74.0,195.26,73.0,195.25,72.0,195.24,71.0,195.23,70.0,195.22,69.0,195.21,68.0,195.20,67.0,195.19,66.0,195.18,65.0,195.17,64.0,195.16,63.0,195.15,62.0,195.14,61.0,195.13,60.0,195.12,101.0,195.11,100.0,195.10,99.0,195.9,59.0,195.8,58.0,195.7,57.0,195.6,56.0,195.5,55.0,195.4,54.0,195.3,53.0,195.2,52.0,195.1,51.0,195.0] || 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(n0,pv51) leq(pv5,pred(n999)) leq(pv51,pred(n6))*r SkC0 -> leq(skc5,n2).
% 3.19/3.38 229[0:Obv:228.26] || leq(n0,pv5) leq(n0,pv51) leq(pv5,pred(n999)) leq(pv51,pred(n6))*r SkC0 -> leq(skc5,n2).
% 3.19/3.38 230[0:MRR:229.0,229.1,229.2,229.3,4.0,5.0,214.0,213.0] || SkC0* -> leq(skc5,n2).
% 3.19/3.38 231[0:Rew:107.0,196.32,107.0,196.31,74.0,196.28,73.0,196.27,72.0,196.26,71.0,196.25,70.0,196.24,69.0,196.23,68.0,196.22,67.0,196.21,66.0,196.20,65.0,196.19,64.0,196.18,63.0,196.17,62.0,196.16,61.0,196.15,60.0,196.14,101.0,196.13,100.0,196.12,99.0,196.11,59.0,196.10,58.0,196.9,57.0,196.8,56.0,196.7,55.0,196.6,54.0,196.5,53.0,196.4,52.0,196.3,51.0,196.2] || equal(a_select3(u_defuse,skc7,skc6),use) equal(a_select3(z_defuse,skc7,skc6),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(n0,pv51) leq(pv5,pred(n999)) leq(pv51,pred(n6)) -> SkC0.
% 3.19/3.38 232[0:Obv:231.28] || equal(a_select3(u_defuse,skc7,skc6),use) equal(a_select3(z_defuse,skc7,skc6),use)** leq(n0,pv5) leq(n0,pv51) leq(pv5,pred(n999)) leq(pv51,pred(n6)) -> SkC0.
% 3.19/3.38 233[0:MRR:232.2,232.3,232.4,232.5,4.0,5.0,214.0,213.0] || equal(a_select3(z_defuse,skc7,skc6),use)** equal(a_select3(u_defuse,skc7,skc6),use) -> SkC0.
% 3.19/3.38 234[0:Rew:107.0,197.32,107.0,197.31,74.0,197.28,73.0,197.27,72.0,197.26,71.0,197.25,70.0,197.24,69.0,197.23,68.0,197.22,67.0,197.21,66.0,197.20,65.0,197.19,64.0,197.18,63.0,197.17,62.0,197.16,61.0,197.15,60.0,197.14,101.0,197.13,100.0,197.12,99.0,197.11,59.0,197.10,58.0,197.9,57.0,197.8,56.0,197.7,55.0,197.6,54.0,197.5,53.0,197.4,52.0,197.3,51.0,197.2] || 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(n0,pv51) leq(pv5,pred(n999)) leq(pv51,pred(n6)) SkC0 -> .
% 3.24/3.43 235[0:Obv:234.28] || equal(a_select3(u_defuse,skc5,skc4),use) equal(a_select3(z_defuse,skc5,skc4),use)** leq(n0,pv5) leq(n0,pv51) leq(pv5,pred(n999)) leq(pv51,pred(n6)) SkC0 -> .
% 3.24/3.43 236[0:MRR:235.2,235.3,235.4,235.5,4.0,5.0,214.0,213.0] || SkC0 equal(a_select3(z_defuse,skc5,skc4),use)** equal(a_select3(u_defuse,skc5,skc4),use) -> .
% 3.24/3.43 258[0:Res:6.0,154.0] || leq(pv52,n1)*l -> equal(pv52,n1) equal(pv52,n0).
% 3.24/3.43 376[0:Res:5.0,154.0] || leq(pv51,n1)*l -> equal(pv51,n1) equal(pv51,n0).
% 3.24/3.43 533[1:Spt:376.1] || -> equal(pv51,n1)**.
% 3.24/3.43 534[1:Rew:533.0,78.1] || SkC0* -> equal(pv52,n1).
% 3.24/3.43 535[1:Rew:533.0,79.0] || equal(pv52,n1) -> SkC0*.
% 3.24/3.43 684[2:Spt:258.1] || -> equal(pv52,n1)**.
% 3.24/3.43 691[2:Rew:684.0,535.0] || equal(n1,n1) -> SkC0*.
% 3.24/3.43 764[2:Obv:691.0] || -> SkC0*.
% 3.24/3.43 765[2:MRR:227.0,764.0] || -> leq(n0,skc4)*r.
% 3.24/3.43 766[2:MRR:230.0,764.0] || -> leq(skc5,n2)*l.
% 3.24/3.43 767[2:MRR:236.0,764.0] || equal(a_select3(z_defuse,skc5,skc4),use)** equal(a_select3(u_defuse,skc5,skc4),use) -> .
% 3.24/3.43 7874[2:SpL:217.4,767.0] || leq(skc5,n2) leq(skc4,pred(pv5)) leq(n0,skc4) leq(n0,skc5) equal(use,use) equal(a_select3(u_defuse,skc5,skc4),use)** -> .
% 3.24/3.43 7878[2:Obv:7874.4] || leq(skc5,n2) leq(skc4,pred(pv5)) leq(n0,skc4) leq(n0,skc5) equal(a_select3(u_defuse,skc5,skc4),use)** -> .
% 3.24/3.43 7879[2:Rew:218.4,7878.4] || leq(skc5,n2) leq(skc4,pred(pv5))*r leq(n0,skc4) leq(n0,skc5) equal(use,use) -> .
% 3.24/3.43 7880[2:Obv:7879.4] || leq(skc5,n2) leq(skc4,pred(pv5))*r leq(n0,skc4) leq(n0,skc5) -> .
% 3.24/3.43 7881[2:MRR:7880.0,7880.1,7880.2,7880.3,766.0,215.0,765.0,3.0] || -> .
% 3.24/3.43 7885[2:Spt:7881.0,258.1,684.0] || equal(pv52,n1)** -> .
% 3.24/3.43 7886[2:Spt:7881.0,258.0,258.2] || leq(pv52,n1)*l -> equal(pv52,n0).
% 3.24/3.43 7887[2:MRR:534.1,7885.0] || SkC0* -> .
% 3.24/3.43 7889[2:MRR:221.0,7887.0] || -> leq(n0,skc6)*r.
% 3.24/3.43 7907[2:MRR:224.0,7887.0] || -> leq(skc7,n2)*l.
% 3.24/3.43 7908[2:MRR:233.2,7887.0] || equal(a_select3(z_defuse,skc7,skc6),use)** equal(a_select3(u_defuse,skc7,skc6),use) -> .
% 3.24/3.43 8178[2:SpL:217.4,7908.0] || leq(skc7,n2) leq(skc6,pred(pv5)) leq(n0,skc6) leq(n0,skc7) equal(use,use) equal(a_select3(u_defuse,skc7,skc6),use)** -> .
% 3.24/3.43 8179[2:Obv:8178.4] || leq(skc7,n2) leq(skc6,pred(pv5)) leq(n0,skc6) leq(n0,skc7) equal(a_select3(u_defuse,skc7,skc6),use)** -> .
% 3.24/3.43 8180[2:Rew:218.4,8179.4] || leq(skc7,n2) leq(skc6,pred(pv5))*r leq(n0,skc6) leq(n0,skc7) equal(use,use) -> .
% 3.24/3.43 8181[2:Obv:8180.4] || leq(skc7,n2) leq(skc6,pred(pv5))*r leq(n0,skc6) leq(n0,skc7) -> .
% 3.24/3.43 8182[2:MRR:8181.0,8181.1,8181.2,8181.3,7907.0,216.0,7889.0,2.0] || -> .
% 3.24/3.43 8183[1:Spt:8182.0,376.1,533.0] || equal(pv51,n1)** -> .
% 3.24/3.43 8184[1:Spt:8182.0,376.0,376.2] || leq(pv51,n1)*l -> equal(pv51,n0).
% 3.24/3.43 8212[2:Spt:258.1] || -> equal(pv52,n1)**.
% 3.24/3.43 8214[2:Rew:8212.0,78.1] || SkC0* -> equal(pv51,n1).
% 3.24/3.43 8293[2:MRR:8214.1,8183.0] || SkC0* -> .
% 3.24/3.43 8294[2:MRR:221.0,8293.0] || -> leq(n0,skc6)*r.
% 3.24/3.43 8295[2:MRR:224.0,8293.0] || -> leq(skc7,n2)*l.
% 3.24/3.43 8296[2:MRR:233.2,8293.0] || equal(a_select3(z_defuse,skc7,skc6),use)** equal(a_select3(u_defuse,skc7,skc6),use) -> .
% 3.24/3.43 8733[2:SpL:217.4,8296.0] || leq(skc7,n2) leq(skc6,pred(pv5)) leq(n0,skc6) leq(n0,skc7) equal(use,use) equal(a_select3(u_defuse,skc7,skc6),use)** -> .
% 3.24/3.43 8734[2:Obv:8733.4] || leq(skc7,n2) leq(skc6,pred(pv5)) leq(n0,skc6) leq(n0,skc7) equal(a_select3(u_defuse,skc7,skc6),use)** -> .
% 3.24/3.43 8735[2:Rew:218.4,8734.4] || leq(skc7,n2) leq(skc6,pred(pv5))*r leq(n0,skc6) leq(n0,skc7) equal(use,use) -> .
% 3.24/3.43 8736[2:Obv:8735.4] || leq(skc7,n2) leq(skc6,pred(pv5))*r leq(n0,skc6) leq(n0,skc7) -> .
% 3.24/3.43 8737[2:MRR:8736.0,8736.1,8736.2,8736.3,8295.0,216.0,8294.0,2.0] || -> .
% 3.24/3.43 8738[2:Spt:8737.0,258.1,8212.0] || equal(pv52,n1)** -> .
% 3.24/3.43 8739[2:Spt:8737.0,258.0,258.2] || leq(pv52,n1)*l -> equal(pv52,n0).
% 3.24/3.43 8745[3:Spt:78.1] || -> equal(pv52,pv51)**.
% 3.24/3.43 8749[3:Rew:8745.0,79.0] || equal(pv51,pv51) -> SkC0*.
% 3.24/3.43 8831[3:Obv:8749.0] || -> SkC0*.
% 3.24/3.43 8832[3:MRR:230.0,8831.0] || -> leq(skc5,n2)*l.
% 3.24/3.43 8833[3:MRR:227.0,8831.0] || -> leq(n0,skc4)*r.
% 3.24/3.43 8834[3:MRR:236.0,8831.0] || equal(a_select3(z_defuse,skc5,skc4),use)** equal(a_select3(u_defuse,skc5,skc4),use) -> .
% 3.24/3.43 9173[3:SpL:217.4,8834.0] || leq(skc5,n2) leq(skc4,pred(pv5)) leq(n0,skc4) leq(n0,skc5) equal(use,use) equal(a_select3(u_defuse,skc5,skc4),use)** -> .
% 3.24/3.43 9174[3:Obv:9173.4] || leq(skc5,n2) leq(skc4,pred(pv5)) leq(n0,skc4) leq(n0,skc5) equal(a_select3(u_defuse,skc5,skc4),use)** -> .
% 3.24/3.43 9175[3:Rew:218.4,9174.4] || leq(skc5,n2) leq(skc4,pred(pv5))*r leq(n0,skc4) leq(n0,skc5) equal(use,use) -> .
% 3.24/3.43 9176[3:Obv:9175.4] || leq(skc5,n2) leq(skc4,pred(pv5))*r leq(n0,skc4) leq(n0,skc5) -> .
% 3.24/3.43 9177[3:MRR:9176.0,9176.1,9176.2,9176.3,8832.0,215.0,8833.0,3.0] || -> .
% 3.24/3.43 9178[3:Spt:9177.0,78.1,8745.0] || equal(pv52,pv51)** -> .
% 3.24/3.43 9179[3:Spt:9177.0,78.0] || SkC0* -> .
% 3.24/3.43 9180[3:MRR:224.0,9179.0] || -> leq(skc7,n2)*l.
% 3.24/3.43 9181[3:MRR:221.0,9179.0] || -> leq(n0,skc6)*r.
% 3.24/3.43 9199[3:MRR:233.2,9179.0] || equal(a_select3(z_defuse,skc7,skc6),use)** equal(a_select3(u_defuse,skc7,skc6),use) -> .
% 3.24/3.43 9529[3:SpL:217.4,9199.0] || leq(skc7,n2) leq(skc6,pred(pv5)) leq(n0,skc6) leq(n0,skc7) equal(use,use) equal(a_select3(u_defuse,skc7,skc6),use)** -> .
% 3.24/3.43 9530[3:Obv:9529.4] || leq(skc7,n2) leq(skc6,pred(pv5)) leq(n0,skc6) leq(n0,skc7) equal(a_select3(u_defuse,skc7,skc6),use)** -> .
% 3.24/3.43 9531[3:Rew:218.4,9530.4] || leq(skc7,n2) leq(skc6,pred(pv5))*r leq(n0,skc6) leq(n0,skc7) equal(use,use) -> .
% 3.24/3.43 9532[3:Obv:9531.4] || leq(skc7,n2) leq(skc6,pred(pv5))*r leq(n0,skc6) leq(n0,skc7) -> .
% 3.24/3.43 9533[3:MRR:9532.0,9532.1,9532.2,9532.3,9180.0,216.0,9181.0,2.0] || -> .
% 3.24/3.43 % SZS output end Refutation
% 3.24/3.43 Formulae used in the proof : quaternion_ds1_inuse_0006 gt_succ leq_succ_gt_equiv pred_minus_1 finite_domain_1
% 3.24/3.43
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