TSTP Solution File: ANA003-4 by SPASS---3.9
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- Process Solution
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% File : SPASS---3.9
% Problem : ANA003-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : Thu Jul 14 19:28:33 EDT 2022
% Result : Unsatisfiable 0.36s 0.54s
% Output : Refutation 0.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA003-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 8 03:22:09 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.36/0.54
% 0.36/0.54 SPASS V 3.9
% 0.36/0.54 SPASS beiseite: Proof found.
% 0.36/0.54 % SZS status Theorem
% 0.36/0.54 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.54 SPASS derived 524 clauses, backtracked 14 clauses, performed 4 splits and kept 538 clauses.
% 0.36/0.54 SPASS allocated 64865 KBytes.
% 0.36/0.54 SPASS spent 0:00:00.18 on the problem.
% 0.36/0.54 0:00:00.04 for the input.
% 0.36/0.54 0:00:00.00 for the FLOTTER CNF translation.
% 0.36/0.54 0:00:00.02 for inferences.
% 0.36/0.54 0:00:00.00 for the backtracking.
% 0.36/0.54 0:00:00.09 for the reduction.
% 0.36/0.54
% 0.36/0.54
% 0.36/0.54 Here is a proof with depth 10, length 34 :
% 0.36/0.54 % SZS output start Refutation
% 0.36/0.54 1[0:Inp] || less_or_equal(u,minimum(v,w))* -> less_or_equal(u,v).
% 0.36/0.54 2[0:Inp] || less_or_equal(u,minimum(v,w))* -> less_or_equal(u,w).
% 0.36/0.54 3[0:Inp] || less_or_equal(minimum(u,v),n0)* -> less_or_equal(v,n0) less_or_equal(u,n0).
% 0.36/0.54 4[0:Inp] || less_or_equal(u,half(v)) less_or_equal(w,half(v)) -> less_or_equal(add(w,u),v)*.
% 0.36/0.54 5[0:Inp] || less_or_equal(half(u),n0)* -> less_or_equal(u,n0).
% 0.36/0.54 6[0:Inp] || less_or_equal(delta_1(u),n0)* -> less_or_equal(u,n0).
% 0.36/0.54 7[0:Inp] || less_or_equal(delta_2(u),n0)* -> less_or_equal(u,n0).
% 0.36/0.54 8[0:Inp] || less_or_equal(absolute(add(u,negate(a_real_number))),delta_1(v)) -> less_or_equal(v,n0) less_or_equal(absolute(add(f(u),negate(f(a_real_number)))),v)*.
% 0.36/0.54 9[0:Inp] || less_or_equal(absolute(add(u,negate(a_real_number))),delta_2(v)) -> less_or_equal(v,n0) less_or_equal(absolute(add(g(u),negate(g(a_real_number)))),v)*.
% 0.36/0.54 10[0:Inp] || less_or_equal(epsilon_0,n0)* -> .
% 0.36/0.54 11[0:Inp] || -> less_or_equal(u,n0) less_or_equal(absolute(add(xs(u),negate(a_real_number))),u)*.
% 0.36/0.54 12[0:Inp] || less_or_equal(add(absolute(add(f(xs(u)),negate(f(a_real_number)))),absolute(add(g(xs(u)),negate(g(a_real_number))))),epsilon_0)* -> less_or_equal(u,n0).
% 0.36/0.54 14[0:Res:11.1,1.0] || -> less_or_equal(minimum(u,v),n0) less_or_equal(absolute(add(xs(minimum(u,v)),negate(a_real_number))),u)*.
% 0.36/0.54 15[0:Res:11.1,2.0] || -> less_or_equal(minimum(u,v),n0) less_or_equal(absolute(add(xs(minimum(u,v)),negate(a_real_number))),v)*.
% 0.36/0.54 55[0:Res:4.2,12.0] || less_or_equal(absolute(add(g(xs(u)),negate(g(a_real_number)))),half(epsilon_0)) less_or_equal(absolute(add(f(xs(u)),negate(f(a_real_number)))),half(epsilon_0))* -> less_or_equal(u,n0).
% 0.36/0.54 195[0:Res:8.2,55.1] || less_or_equal(absolute(add(xs(u),negate(a_real_number))),delta_1(half(epsilon_0))) less_or_equal(absolute(add(g(xs(u)),negate(g(a_real_number)))),half(epsilon_0))* -> less_or_equal(half(epsilon_0),n0) less_or_equal(u,n0).
% 0.36/0.54 480[1:Spt:195.0,195.1,195.3] || less_or_equal(absolute(add(xs(u),negate(a_real_number))),delta_1(half(epsilon_0))) less_or_equal(absolute(add(g(xs(u)),negate(g(a_real_number)))),half(epsilon_0))* -> less_or_equal(u,n0).
% 0.36/0.54 491[1:Res:9.2,480.1] || less_or_equal(absolute(add(xs(u),negate(a_real_number))),delta_2(half(epsilon_0))) less_or_equal(absolute(add(xs(u),negate(a_real_number))),delta_1(half(epsilon_0)))* -> less_or_equal(half(epsilon_0),n0) less_or_equal(u,n0).
% 0.36/0.54 522[2:Spt:491.0,491.1,491.3] || less_or_equal(absolute(add(xs(u),negate(a_real_number))),delta_2(half(epsilon_0))) less_or_equal(absolute(add(xs(u),negate(a_real_number))),delta_1(half(epsilon_0)))* -> less_or_equal(u,n0).
% 0.36/0.54 544[2:Res:15.1,522.1] || less_or_equal(absolute(add(xs(minimum(u,delta_1(half(epsilon_0)))),negate(a_real_number))),delta_2(half(epsilon_0)))* -> less_or_equal(minimum(u,delta_1(half(epsilon_0))),n0) less_or_equal(minimum(u,delta_1(half(epsilon_0))),n0).
% 0.36/0.54 555[2:Obv:544.1] || less_or_equal(absolute(add(xs(minimum(u,delta_1(half(epsilon_0)))),negate(a_real_number))),delta_2(half(epsilon_0)))* -> less_or_equal(minimum(u,delta_1(half(epsilon_0))),n0).
% 0.36/0.54 589[2:Res:14.1,555.0] || -> less_or_equal(minimum(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))),n0)* less_or_equal(minimum(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))),n0)*.
% 0.36/0.54 604[2:Obv:589.0] || -> less_or_equal(minimum(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))),n0)*.
% 0.36/0.54 619[2:Res:604.0,3.0] || -> less_or_equal(delta_1(half(epsilon_0)),n0)* less_or_equal(delta_2(half(epsilon_0)),n0).
% 0.36/0.54 620[2:Res:619.0,6.0] || -> less_or_equal(delta_2(half(epsilon_0)),n0)* less_or_equal(half(epsilon_0),n0).
% 0.36/0.54 621[2:MRR:620.0,7.0] || -> less_or_equal(half(epsilon_0),n0)*.
% 0.36/0.54 622[2:Res:621.0,5.0] || -> less_or_equal(epsilon_0,n0)*.
% 0.36/0.54 623[2:MRR:622.0,10.0] || -> .
% 0.36/0.54 624[2:Spt:623.0,491.2] || -> less_or_equal(half(epsilon_0),n0)*.
% 0.36/0.54 625[2:Res:624.0,5.0] || -> less_or_equal(epsilon_0,n0)*.
% 0.36/0.54 626[2:MRR:625.0,10.0] || -> .
% 0.36/0.54 627[1:Spt:626.0,195.2] || -> less_or_equal(half(epsilon_0),n0)*.
% 0.36/0.54 628[1:Res:627.0,5.0] || -> less_or_equal(epsilon_0,n0)*.
% 0.36/0.54 629[1:MRR:628.0,10.0] || -> .
% 0.36/0.54 % SZS output end Refutation
% 0.36/0.54 Formulae used in the proof : minimum3 minimum7 minimum9 less_or_equal_sum_of_halves zero_and_half clause_1 clause_2 clause_3 clause_4 clause_5 clause_6 clause_7_2
% 0.36/0.54
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