TSTP Solution File: SWV099+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV099+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 21:41:17 EDT 2022
% Result : Theorem 2.74s 3.00s
% Output : Refutation 2.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV099+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n011.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 : Thu Jun 16 03:17:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.74/3.00
% 2.74/3.00 SPASS V 3.9
% 2.74/3.00 SPASS beiseite: Proof found.
% 2.74/3.00 % SZS status Theorem
% 2.74/3.00 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.74/3.00 SPASS derived 6359 clauses, backtracked 788 clauses, performed 6 splits and kept 4033 clauses.
% 2.74/3.00 SPASS allocated 91628 KBytes.
% 2.74/3.00 SPASS spent 0:00:02.65 on the problem.
% 2.74/3.00 0:00:00.04 for the input.
% 2.74/3.00 0:00:00.09 for the FLOTTER CNF translation.
% 2.74/3.00 0:00:00.05 for inferences.
% 2.74/3.00 0:00:00.06 for the backtracking.
% 2.74/3.00 0:00:02.23 for the reduction.
% 2.74/3.00
% 2.74/3.00
% 2.74/3.00 Here is a proof with depth 3, length 143 :
% 2.74/3.00 % SZS output start Refutation
% 2.74/3.00 2[0:Inp] || -> leq(n0,skc3)*r.
% 2.74/3.00 3[0:Inp] || -> leq(n0,pv5)*r.
% 2.74/3.00 17[0:Inp] || -> gt(n1,n0)*l.
% 2.74/3.00 18[0:Inp] || -> gt(n2,n0)*l.
% 2.74/3.00 23[0:Inp] || -> gt(n2,n1)*l.
% 2.74/3.00 32[0:Inp] || -> leq(u,u)*.
% 2.74/3.00 33[0:Inp] || -> equal(succ(n0),n1)**.
% 2.74/3.00 38[0:Inp] || -> leq(skc2,minus(pv5,n1))*r.
% 2.74/3.00 39[0:Inp] || -> equal(a_select2(rho_defuse,n0),use)**.
% 2.74/3.00 40[0:Inp] || -> equal(a_select2(rho_defuse,n1),use)**.
% 2.74/3.00 41[0:Inp] || -> equal(a_select2(rho_defuse,n2),use)**.
% 2.74/3.00 42[0:Inp] || -> equal(a_select2(sigma_defuse,n0),use)**.
% 2.74/3.00 43[0:Inp] || -> equal(a_select2(sigma_defuse,n1),use)**.
% 2.74/3.00 44[0:Inp] || -> equal(a_select2(sigma_defuse,n2),use)**.
% 2.74/3.00 45[0:Inp] || -> equal(a_select2(sigma_defuse,n3),use)**.
% 2.74/3.00 46[0:Inp] || -> equal(a_select2(sigma_defuse,n4),use)**.
% 2.74/3.00 47[0:Inp] || -> equal(a_select2(sigma_defuse,n5),use)**.
% 2.74/3.00 48[0:Inp] || -> equal(a_select2(xinit_defuse,n3),use)**.
% 2.74/3.00 49[0:Inp] || -> equal(a_select2(xinit_defuse,n4),use)**.
% 2.74/3.00 50[0:Inp] || -> equal(a_select2(xinit_defuse,n5),use)**.
% 2.74/3.00 51[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n0),use)**.
% 2.74/3.00 52[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n1),use)**.
% 2.74/3.00 53[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n2),use)**.
% 2.74/3.00 54[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n3),use)**.
% 2.74/3.00 55[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n4),use)**.
% 2.74/3.00 56[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n5),use)**.
% 2.74/3.00 57[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n0),use)**.
% 2.74/3.00 58[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n1),use)**.
% 2.74/3.00 59[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n2),use)**.
% 2.74/3.00 60[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n3),use)**.
% 2.74/3.00 61[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n4),use)**.
% 2.74/3.00 62[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n5),use)**.
% 2.74/3.00 63[0:Inp] || -> leq(pv5,minus(n999,n1))*r.
% 2.74/3.00 64[0:Inp] || -> equal(succ(succ(n0)),n2)**.
% 2.74/3.00 81[0:Inp] || -> equal(pred(succ(u)),u)**.
% 2.74/3.00 83[0:Inp] || -> equal(a_select3(u_defuse,n0,n0),use)**.
% 2.74/3.00 84[0:Inp] || -> equal(a_select3(u_defuse,n1,n0),use)**.
% 2.74/3.00 85[0:Inp] || -> equal(a_select3(u_defuse,n2,n0),use)**.
% 2.74/3.00 91[0:Inp] || -> equal(minus(u,n1),pred(u))**.
% 2.74/3.00 98[0:Inp] || gt(u,v)* -> leq(v,u).
% 2.74/3.00 106[0:Inp] || leq(u,v)*+ -> leq(u,succ(v))*.
% 2.74/3.00 125[0:Inp] || leq(u,v) -> leq(succ(u),succ(v))*.
% 2.74/3.00 131[0:Inp] || leq(u,n0)*+ leq(n0,u)* -> equal(u,n0).
% 2.74/3.00 137[0:Inp] || leq(u,n1)* leq(n0,u) -> equal(u,n1) equal(u,n0).
% 2.74/3.00 139[0:Inp] || leq(u,n2)* leq(n0,u) -> equal(u,n2) equal(u,n1) equal(u,n0).
% 2.74/3.00 147[0:Inp] || leq(n0,u) leq(u,n2) leq(v,minus(pv5,n1)) leq(n0,v) -> equal(a_select3(z_defuse,u,v),use)**.
% 2.74/3.00 148[0:Inp] || leq(n0,u) leq(u,n2) leq(v,minus(pv5,n1)) leq(n0,v) -> equal(a_select3(u_defuse,u,v),use)**.
% 2.74/3.00 174[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)) -> leq(n0,skc2).
% 2.74/3.00 175[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)) -> leq(skc3,n2).
% 2.74/3.00 176[0:Inp] || equal(a_select3(u_defuse,skc3,skc2),use) equal(a_select3(z_defuse,skc3,skc2),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)) -> .
% 2.74/3.00 177[0:Rew:33.0,64.0] || -> equal(succ(n1),n2)**.
% 2.74/3.00 190[0:Rew:91.0,63.0] || -> leq(pv5,pred(n999))*r.
% 2.74/3.00 191[0:Rew:91.0,38.0] || -> leq(skc2,pred(pv5))*r.
% 2.74/3.00 192[0:Rew:91.0,147.2] || leq(u,n2) leq(v,pred(pv5)) leq(n0,v) leq(n0,u) -> equal(a_select3(z_defuse,u,v),use)**.
% 2.74/3.00 193[0:Rew:91.0,148.2] || leq(u,n2) leq(v,pred(pv5)) leq(n0,v) leq(n0,u) -> equal(a_select3(u_defuse,u,v),use)**.
% 2.74/3.00 194[0:Rew:91.0,174.28,62.0,174.26,61.0,174.25,60.0,174.24,59.0,174.23,58.0,174.22,57.0,174.21,56.0,174.20,55.0,174.19,54.0,174.18,53.0,174.17,52.0,174.16,51.0,174.15,50.0,174.14,49.0,174.13,48.0,174.12,85.0,174.11,84.0,174.10,83.0,174.9,47.0,174.8,46.0,174.7,45.0,174.6,44.0,174.5,43.0,174.4,42.0,174.3,41.0,174.2,40.0,174.1,39.0,174.0] || 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 -> leq(n0,skc2).
% 2.74/3.00 195[0:Obv:194.26] || leq(n0,pv5) leq(pv5,pred(n999))*r -> leq(n0,skc2).
% 2.74/3.00 196[0:MRR:195.0,195.1,3.0,190.0] || -> leq(n0,skc2)*r.
% 2.74/3.00 197[0:Rew:91.0,175.28,62.0,175.26,61.0,175.25,60.0,175.24,59.0,175.23,58.0,175.22,57.0,175.21,56.0,175.20,55.0,175.19,54.0,175.18,53.0,175.17,52.0,175.16,51.0,175.15,50.0,175.14,49.0,175.13,48.0,175.12,85.0,175.11,84.0,175.10,83.0,175.9,47.0,175.8,46.0,175.7,45.0,175.6,44.0,175.5,43.0,175.4,42.0,175.3,41.0,175.2,40.0,175.1,39.0,175.0] || 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 -> leq(skc3,n2).
% 2.74/3.00 198[0:Obv:197.26] || leq(n0,pv5) leq(pv5,pred(n999))*r -> leq(skc3,n2).
% 2.74/3.00 199[0:MRR:198.0,198.1,3.0,190.0] || -> leq(skc3,n2)*l.
% 2.74/3.00 200[0:Rew:91.0,176.30,62.0,176.28,61.0,176.27,60.0,176.26,59.0,176.25,58.0,176.24,57.0,176.23,56.0,176.22,55.0,176.21,54.0,176.20,53.0,176.19,52.0,176.18,51.0,176.17,50.0,176.16,49.0,176.15,48.0,176.14,85.0,176.13,84.0,176.12,83.0,176.11,47.0,176.10,46.0,176.9,45.0,176.8,44.0,176.7,43.0,176.6,42.0,176.5,41.0,176.4,40.0,176.3,39.0,176.2] || equal(a_select3(u_defuse,skc3,skc2),use) equal(a_select3(z_defuse,skc3,skc2),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)) -> .
% 2.74/3.00 201[0:Obv:200.28] || equal(a_select3(u_defuse,skc3,skc2),use) equal(a_select3(z_defuse,skc3,skc2),use)** leq(n0,pv5) leq(pv5,pred(n999)) -> .
% 2.74/3.00 202[0:MRR:201.2,201.3,3.0,190.0] || equal(a_select3(z_defuse,skc3,skc2),use)** equal(a_select3(u_defuse,skc3,skc2),use) -> .
% 2.74/3.00 223[0:Res:3.0,137.0] || leq(pv5,n1)*l -> equal(pv5,n1) equal(pv5,n0).
% 2.74/3.00 257[0:Res:3.0,125.0] || -> leq(succ(n0),succ(pv5))*r.
% 2.74/3.00 258[0:Res:3.0,106.0] || -> leq(n0,succ(pv5))*r.
% 2.74/3.00 339[0:Res:2.0,139.0] || leq(skc3,n2)*l -> equal(skc3,n0) equal(skc3,n1) equal(skc3,n2).
% 2.74/3.00 437[0:Rew:33.0,257.0] || -> leq(n1,succ(pv5))*r.
% 2.74/3.00 439[0:MRR:339.0,199.0] || -> equal(skc3,n2)** equal(skc3,n1) equal(skc3,n0).
% 2.74/3.00 501[1:Spt:223.1] || -> equal(pv5,n1)**.
% 2.74/3.00 502[1:Rew:501.0,192.1] || leq(u,n2) leq(v,pred(n1)) leq(n0,v) leq(n0,u) -> equal(a_select3(z_defuse,u,v),use)**.
% 2.74/3.00 510[1:Rew:501.0,191.0] || -> leq(skc2,pred(n1))*r.
% 2.74/3.00 511[1:Rew:501.0,437.0] || -> leq(n1,succ(n1))*r.
% 2.74/3.00 513[1:Rew:501.0,258.0] || -> leq(n0,succ(n1))*r.
% 2.74/3.00 576[1:Rew:501.0,3.0] || -> leq(n0,n1)*r.
% 2.74/3.00 587[1:Rew:177.0,511.0] || -> leq(n1,n2)*r.
% 2.74/3.00 589[1:Rew:177.0,513.0] || -> leq(n0,n2)*r.
% 2.74/3.00 657[2:Spt:439.0] || -> equal(skc3,n2)**.
% 2.74/3.00 725[2:Rew:657.0,202.0] || equal(a_select3(z_defuse,n2,skc2),use)** equal(a_select3(u_defuse,skc3,skc2),use) -> .
% 2.74/3.00 743[2:Rew:657.0,725.1] || equal(a_select3(z_defuse,n2,skc2),use)** equal(a_select3(u_defuse,n2,skc2),use) -> .
% 2.74/3.00 841[0:SpR:33.0,81.0] || -> equal(pred(n1),n0)**.
% 2.74/3.00 847[1:Rew:841.0,510.0] || -> leq(skc2,n0)*l.
% 2.74/3.00 855[1:Rew:841.0,502.1] || leq(u,n2) leq(v,n0) leq(n0,v) leq(n0,u) -> equal(a_select3(z_defuse,u,v),use)**.
% 2.74/3.00 3490[0:Res:23.0,98.0] || -> leq(n1,n2)*r.
% 2.74/3.00 3495[0:Res:18.0,98.0] || -> leq(n0,n2)*r.
% 2.74/3.00 3496[0:Res:17.0,98.0] || -> leq(n0,n1)*r.
% 2.74/3.00 5692[1:Res:847.0,131.0] || leq(n0,skc2)*r -> equal(skc2,n0).
% 2.74/3.00 5771[1:MRR:5692.0,196.0] || -> equal(skc2,n0)**.
% 2.74/3.00 5774[2:Rew:5771.0,743.0] || equal(a_select3(z_defuse,n2,n0),use)** equal(a_select3(u_defuse,n2,skc2),use) -> .
% 2.74/3.00 5878[2:Rew:5771.0,5774.1] || equal(a_select3(z_defuse,n2,n0),use)** equal(a_select3(u_defuse,n2,n0),use) -> .
% 2.74/3.00 5879[2:Rew:85.0,5878.1] || equal(a_select3(z_defuse,n2,n0),use)** equal(use,use) -> .
% 2.74/3.00 5880[2:Obv:5879.1] || equal(a_select3(z_defuse,n2,n0),use)** -> .
% 2.74/3.00 7634[2:SpL:855.4,5880.0] || leq(n2,n2) leq(n0,n0) leq(n0,n0) leq(n0,n2) equal(use,use)* -> .
% 2.74/3.00 7638[2:Obv:7634.4] || leq(n2,n2)* leq(n0,n0) leq(n0,n2) -> .
% 2.74/3.00 7639[2:MRR:7638.0,7638.1,7638.2,32.0,32.0,589.0] || -> .
% 2.74/3.00 7643[2:Spt:7639.0,439.0,657.0] || equal(skc3,n2)** -> .
% 2.74/3.00 7644[2:Spt:7639.0,439.1,439.2] || -> equal(skc3,n1)** equal(skc3,n0).
% 2.74/3.00 7647[1:Rew:5771.0,202.1,5771.0,202.0] || equal(a_select3(z_defuse,skc3,n0),use)** equal(a_select3(u_defuse,skc3,n0),use) -> .
% 2.74/3.00 7665[3:Spt:7644.0] || -> equal(skc3,n1)**.
% 2.74/3.00 7675[3:Rew:7665.0,7647.0] || equal(a_select3(z_defuse,n1,n0),use)** equal(a_select3(u_defuse,skc3,n0),use) -> .
% 2.74/3.00 7746[3:Rew:7665.0,7675.1] || equal(a_select3(z_defuse,n1,n0),use)** equal(a_select3(u_defuse,n1,n0),use) -> .
% 2.74/3.00 7747[3:Rew:84.0,7746.1] || equal(a_select3(z_defuse,n1,n0),use)** equal(use,use) -> .
% 2.74/3.00 7748[3:Obv:7747.1] || equal(a_select3(z_defuse,n1,n0),use)** -> .
% 2.74/3.00 7808[3:SpL:855.4,7748.0] || leq(n1,n2) leq(n0,n0) leq(n0,n0) leq(n0,n1) equal(use,use)* -> .
% 2.74/3.00 7809[3:Obv:7808.4] || leq(n1,n2)*r leq(n0,n0) leq(n0,n1) -> .
% 2.74/3.00 7810[3:MRR:7809.0,7809.1,7809.2,587.0,32.0,576.0] || -> .
% 2.74/3.00 7811[3:Spt:7810.0,7644.0,7665.0] || equal(skc3,n1)** -> .
% 2.74/3.00 7812[3:Spt:7810.0,7644.1] || -> equal(skc3,n0)**.
% 2.74/3.00 7827[3:Rew:7812.0,7647.1,7812.0,7647.0] || equal(a_select3(z_defuse,n0,n0),use)** equal(a_select3(u_defuse,n0,n0),use) -> .
% 2.74/3.00 7828[3:Rew:83.0,7827.1] || equal(a_select3(z_defuse,n0,n0),use)** equal(use,use) -> .
% 2.74/3.00 7829[3:Obv:7828.1] || equal(a_select3(z_defuse,n0,n0),use)** -> .
% 2.74/3.00 7906[3:SpL:855.4,7829.0] || leq(n0,n2) leq(n0,n0) leq(n0,n0) leq(n0,n0) equal(use,use)* -> .
% 2.74/3.00 7907[3:Obv:7906.4] || leq(n0,n2)*r leq(n0,n0) -> .
% 2.74/3.00 7908[3:MRR:7907.0,7907.1,589.0,32.0] || -> .
% 2.74/3.00 7909[1:Spt:7908.0,223.1,501.0] || equal(pv5,n1)** -> .
% 2.74/3.00 7910[1:Spt:7908.0,223.0,223.2] || leq(pv5,n1)*l -> equal(pv5,n0).
% 2.74/3.00 7935[2:Spt:439.0] || -> equal(skc3,n2)**.
% 2.74/3.00 7947[2:Rew:7935.0,202.0] || equal(a_select3(z_defuse,n2,skc2),use)** equal(a_select3(u_defuse,skc3,skc2),use) -> .
% 2.74/3.00 8022[2:Rew:7935.0,7947.1] || equal(a_select3(z_defuse,n2,skc2),use)** equal(a_select3(u_defuse,n2,skc2),use) -> .
% 2.74/3.00 8783[2:SpL:192.4,8022.0] || leq(n2,n2) leq(skc2,pred(pv5)) leq(n0,skc2) leq(n0,n2) equal(use,use) equal(a_select3(u_defuse,n2,skc2),use)** -> .
% 2.74/3.00 8784[2:Obv:8783.4] || leq(n2,n2) leq(skc2,pred(pv5)) leq(n0,skc2) leq(n0,n2) equal(a_select3(u_defuse,n2,skc2),use)** -> .
% 2.74/3.00 8785[2:Rew:193.4,8784.4] || leq(n2,n2) leq(skc2,pred(pv5))*r leq(n0,skc2) leq(n0,n2) equal(use,use) -> .
% 2.74/3.00 8786[2:Obv:8785.4] || leq(n2,n2) leq(skc2,pred(pv5))*r leq(n0,skc2) leq(n0,n2) -> .
% 2.74/3.00 8787[2:MRR:8786.0,8786.1,8786.2,8786.3,32.0,191.0,196.0,3495.0] || -> .
% 2.74/3.00 8791[2:Spt:8787.0,439.0,7935.0] || equal(skc3,n2)** -> .
% 2.74/3.00 8792[2:Spt:8787.0,439.1,439.2] || -> equal(skc3,n1)** equal(skc3,n0).
% 2.74/3.00 8799[3:Spt:8792.0] || -> equal(skc3,n1)**.
% 2.74/3.00 8810[3:Rew:8799.0,202.0] || equal(a_select3(z_defuse,n1,skc2),use)** equal(a_select3(u_defuse,skc3,skc2),use) -> .
% 2.74/3.00 8882[3:Rew:8799.0,8810.1] || equal(a_select3(z_defuse,n1,skc2),use)** equal(a_select3(u_defuse,n1,skc2),use) -> .
% 2.74/3.00 8974[3:SpL:192.4,8882.0] || leq(n1,n2) leq(skc2,pred(pv5)) leq(n0,skc2) leq(n0,n1) equal(use,use) equal(a_select3(u_defuse,n1,skc2),use)** -> .
% 2.74/3.00 8975[3:Obv:8974.4] || leq(n1,n2) leq(skc2,pred(pv5)) leq(n0,skc2) leq(n0,n1) equal(a_select3(u_defuse,n1,skc2),use)** -> .
% 2.74/3.00 8976[3:Rew:193.4,8975.4] || leq(n1,n2) leq(skc2,pred(pv5))*r leq(n0,skc2) leq(n0,n1) equal(use,use) -> .
% 2.74/3.00 8977[3:Obv:8976.4] || leq(n1,n2) leq(skc2,pred(pv5))*r leq(n0,skc2) leq(n0,n1) -> .
% 2.74/3.00 8978[3:MRR:8977.0,8977.1,8977.2,8977.3,3490.0,191.0,196.0,3496.0] || -> .
% 2.74/3.00 8979[3:Spt:8978.0,8792.0,8799.0] || equal(skc3,n1)** -> .
% 2.74/3.00 8980[3:Spt:8978.0,8792.1] || -> equal(skc3,n0)**.
% 2.74/3.00 8995[3:Rew:8980.0,202.1,8980.0,202.0] || equal(a_select3(z_defuse,n0,skc2),use)** equal(a_select3(u_defuse,n0,skc2),use) -> .
% 2.74/3.00 9102[3:SpL:192.4,8995.0] || leq(n0,n2) leq(skc2,pred(pv5)) leq(n0,skc2) leq(n0,n0) equal(use,use) equal(a_select3(u_defuse,n0,skc2),use)** -> .
% 2.74/3.00 9103[3:Obv:9102.4] || leq(n0,n2) leq(skc2,pred(pv5)) leq(n0,skc2) leq(n0,n0) equal(a_select3(u_defuse,n0,skc2),use)** -> .
% 2.74/3.00 9104[3:Rew:193.4,9103.4] || leq(n0,n2) leq(skc2,pred(pv5))*r leq(n0,skc2) leq(n0,n0) equal(use,use) -> .
% 2.74/3.00 9105[3:Obv:9104.4] || leq(n0,n2) leq(skc2,pred(pv5))*r leq(n0,skc2) leq(n0,n0) -> .
% 2.74/3.00 9106[3:MRR:9105.0,9105.1,9105.2,9105.3,3495.0,191.0,196.0,32.0] || -> .
% 2.74/3.00 % SZS output end Refutation
% 2.74/3.00 Formulae used in the proof : quaternion_ds1_inuse_0011 gt_succ leq_succ_gt_equiv gt_1_0 gt_2_0 gt_2_1 reflexivity_leq successor_1 successor_2 pred_succ pred_minus_1 leq_gt1 leq_succ leq_succ_succ finite_domain_0 finite_domain_1 finite_domain_2
% 2.86/3.04
%------------------------------------------------------------------------------