TSTP Solution File: NUM858_1 by SPASS+T---2.2.22
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% File : SPASS+T---2.2.22
% Problem : NUM858_1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n008.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 : Mon Jul 18 14:39:01 EDT 2022
% Result : Theorem 5.73s 3.74s
% Output : Refutation 5.73s
% 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 : NUM858_1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : spasst-tptp-script %s %d
% 0.13/0.34 % Computer : n008.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 Jul 7 13:00:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % Using integer theory
% 5.73/3.74
% 5.73/3.74
% 5.73/3.74 % SZS status Theorem for /tmp/SPASST_10015_n008.cluster.edu
% 5.73/3.74
% 5.73/3.74 SPASS V 2.2.22 in combination with yices.
% 5.73/3.74 SPASS beiseite: Proof found by SPASS and SMT.
% 5.73/3.74 Problem: /tmp/SPASST_10015_n008.cluster.edu
% 5.73/3.74 SPASS derived 8866 clauses, backtracked 32 clauses and kept 4722 clauses.
% 5.73/3.74 SPASS backtracked 4 times (2 times due to theory inconsistency).
% 5.73/3.74 SPASS allocated 13980 KBytes.
% 5.73/3.74 SPASS spent 0:00:02.76 on the problem.
% 5.73/3.74 0:00:00.00 for the input.
% 5.73/3.74 0:00:00.00 for the FLOTTER CNF translation.
% 5.73/3.74 0:00:00.06 for inferences.
% 5.73/3.74 0:00:00.05 for the backtracking.
% 5.73/3.74 0:00:02.48 for the reduction.
% 5.73/3.74 0:00:00.11 for interacting with the SMT procedure.
% 5.73/3.74
% 5.73/3.74
% 5.73/3.74 % SZS output start CNFRefutation for /tmp/SPASST_10015_n008.cluster.edu
% 5.73/3.74
% 5.73/3.74 % Here is a proof with depth 6, length 82 :
% 5.73/3.74 3[0:Inp] || -> model_ub(U,V,skf3(W,V,U))*.
% 5.73/3.74 4[0:Inp] || -> model_max(U,V,skf2(W,V,U))*.
% 5.73/3.74 5[0:Inp] || ub(U,V,W)* -> lesseq(V,W).
% 5.73/3.74 6[0:Inp] || ub(U,V,W)* -> lesseq(U,W).
% 5.73/3.74 7(e)[0:Inp] || -> minsol_model_ub(skc3,skc4,skc5)* minsol_model_max(skc3,skc4,skc5).
% 5.73/3.74 8[0:Inp] || minsol_model_ub(U,V,W) -> model_ub(U,V,W)*.
% 5.73/3.74 9[0:Inp] || minsol_model_max(U,V,W) -> model_max(U,V,W)*.
% 5.73/3.74 10[0:Inp] || model_ub(U,V,W) -> ub(U,V,W)*.
% 5.73/3.74 11[0:Inp] || ub(U,V,W)* -> model_ub(U,V,W).
% 5.73/3.74 12[0:Inp] || lesseq(U,V) -> equal(max(U,V),V)**.
% 5.73/3.74 13[0:Inp] || lesseq(U,V) -> equal(max(V,U),V)**.
% 5.73/3.74 14[0:Inp] || lesseq(U,V) -> lesseq(summation(U),summation(V))*.
% 5.73/3.74 15[0:Inp] || lesseq(summation(U),summation(V))* -> lesseq(U,V).
% 5.73/3.74 16[0:Inp] || model_max(U,V,W)* -> equal(W,max(U,V)).
% 5.73/3.74 18[0:Inp] || minsol_model_ub(skc3,skc4,skc5)* minsol_model_max(skc3,skc4,skc5) -> .
% 5.73/3.74 19[0:Inp] || lesseq(U,V) lesseq(W,V) -> ub(U,W,V)*.
% 5.73/3.74 20[0:Inp] || minsol_model_ub(U,V,W)*+ model_ub(U,V,X)* -> lesseq(W,X)*.
% 5.73/3.74 21[0:Inp] || minsol_model_max(U,V,W)*+ model_max(U,V,X)* -> lesseq(W,X)*.
% 5.73/3.74 22[0:Inp] || lesseq(U,skf3(U,V,W))* model_ub(W,V,U) -> minsol_model_ub(W,V,U).
% 5.73/3.74 23[0:Inp] || lesseq(U,skf2(U,V,W))* model_max(W,V,U) -> minsol_model_max(W,V,U).
% 5.73/3.74 33[0:ThA] || -> lesseq(U,U)*.
% 5.73/3.74 36[0:ThA] || -> equal(U,V) less(V,U)* less(U,V)*.
% 5.73/3.74 55[0:TOC:15.0] || -> lesseq(U,V) less(summation(V),summation(U))*.
% 5.73/3.74 56[0:TOC:14.0] || -> less(U,V) lesseq(summation(V),summation(U))*.
% 5.73/3.74 57[0:TOC:13.0] || -> less(U,V) equal(max(U,V),U)**.
% 5.73/3.74 58[0:TOC:12.0] || -> less(U,V) equal(max(V,U),U)**.
% 5.73/3.74 59[0:TOC:19.1] || -> less(U,V) less(U,W) ub(V,W,U)*.
% 5.73/3.74 60[0:TOC:23.0] || model_max(U,V,W) -> less(skf2(W,V,U),W)* minsol_model_max(U,V,W).
% 5.73/3.74 61[0:TOC:22.0] || model_ub(U,V,W) -> less(skf3(W,V,U),W)* minsol_model_ub(U,V,W).
% 5.73/3.74 62[1:Spt:7.0] || -> minsol_model_ub(skc3,skc4,skc5)*.
% 5.73/3.74 63[1:MRR:18.0,62.0] || minsol_model_max(skc3,skc4,skc5)* -> .
% 5.73/3.74 66[0:OCh:56.1,56.1] || -> less(U,V)* less(V,W)* lesseq(summation(W),summation(U))*.
% 5.73/3.74 347[0:Res:10.1,5.0] || model_ub(U,V,W)* -> lesseq(V,W).
% 5.73/3.74 348[0:Res:10.1,6.0] || model_ub(U,V,W)* -> lesseq(U,W).
% 5.73/3.74 670[0:Res:4.0,16.0] || -> equal(skf2(U,V,W),max(W,V))**.
% 5.73/3.74 671[0:Res:9.1,16.0] || minsol_model_max(U,V,W)* -> equal(W,max(U,V)).
% 5.73/3.74 673[0:Rew:670.0,4.0] || -> model_max(U,V,max(U,V))*.
% 5.73/3.74 674[0:Rew:670.0,60.1] || model_max(U,V,W) -> less(max(U,V),W)* minsol_model_max(U,V,W).
% 5.73/3.74 726[0:Res:59.2,11.0] || -> less(U,V) less(U,W) model_ub(V,W,U)*.
% 5.73/3.74 859[1:Res:62.0,20.0] || model_ub(skc3,skc4,U)* -> lesseq(skc5,U).
% 5.73/3.74 932[0:OCE:674.1,33.0] || model_max(U,V,max(U,V))* -> minsol_model_max(U,V,max(U,V)).
% 5.73/3.74 958[0:MRR:932.0,673.0] || -> minsol_model_max(U,V,max(U,V))*.
% 5.73/3.74 959[0:SpR:57.1,958.0] || -> less(U,V) minsol_model_max(U,V,U)*.
% 5.73/3.74 960[0:SpR:58.1,958.0] || -> less(U,V) minsol_model_max(V,U,U)*.
% 5.73/3.74 961[0:Res:958.0,21.0] || model_max(U,V,W) -> lesseq(max(U,V),W)*.
% 5.73/3.74 1216[0:Res:3.0,347.0] || -> lesseq(U,skf3(V,U,W))*.
% 5.73/3.74 1217[0:Res:8.1,347.0] || minsol_model_ub(U,V,W)* -> lesseq(V,W).
% 5.73/3.74 1224(e)[0:OCh:1216.0,61.1] || model_ub(U,V,W)* -> minsol_model_ub(U,V,W) less(V,W).
% 5.73/3.74 1263[0:Res:3.0,348.0] || -> lesseq(U,skf3(V,W,U))*.
% 5.73/3.74 1264[0:Res:8.1,348.0] || minsol_model_ub(U,V,W)* -> lesseq(U,W).
% 5.73/3.74 1271(e)[0:OCh:1263.0,61.1] || model_ub(U,V,W)* -> minsol_model_ub(U,V,W) less(U,W).
% 5.73/3.74 1720[0:OCE:66.2,55.1] || -> less(U,V)* less(V,W)* lesseq(W,U)*.
% 5.73/3.74 3013[0:Res:959.1,671.0] || -> less(U,V) equal(max(U,V),U)**.
% 5.73/3.74 3097[0:Res:960.1,671.0] || -> less(U,V) equal(max(V,U),U)**.
% 5.73/3.74 3183[1:Res:726.2,859.0] || -> less(U,skc3) less(U,skc4)* lesseq(skc5,U).
% 5.73/3.74 3253[1:Res:62.0,1217.0] || -> lesseq(skc4,skc5)*.
% 5.73/3.74 3255(e)[1:OCE:3253.0,36.1] || -> equal(skc5,skc4) less(skc4,skc5)*.
% 5.73/3.74 3257[2:Spt:3255.0] || -> equal(skc5,skc4)**.
% 5.73/3.74 3258[2:Rew:3257.0,62.0] || -> minsol_model_ub(skc3,skc4,skc4)*.
% 5.73/3.74 3259[2:Rew:3257.0,63.0] || minsol_model_max(skc3,skc4,skc4)* -> .
% 5.73/3.74 3273[2:Res:960.1,3259.0] || -> less(skc4,skc3)*.
% 5.73/3.74 3275[2:Res:3258.0,1264.0] || -> lesseq(skc3,skc4)*.
% 5.73/3.74 3280(e)[2:OCE:3275.0,3273.0] || -> .
% 5.73/3.74 3283[2:Spt:3280.0,3255.0,3257.0] || equal(skc5,skc4)** -> .
% 5.73/3.74 3284[2:Spt:3280.0,3255.1] || -> less(skc4,skc5)*.
% 5.73/3.74 3293[1:Res:62.0,1264.0] || -> lesseq(skc3,skc5)*.
% 5.73/3.74 3297(e)[1:OCE:3293.0,36.1] || -> equal(skc5,skc3) less(skc3,skc5)*.
% 5.73/3.74 3299[3:Spt:3297.0] || -> equal(skc5,skc3)**.
% 5.73/3.74 3300[3:Rew:3299.0,3284.0] || -> less(skc4,skc3)*.
% 5.73/3.74 3305[3:Rew:3299.0,63.0] || minsol_model_max(skc3,skc4,skc3)* -> .
% 5.73/3.74 3321[3:Res:959.1,3305.0] || -> less(skc3,skc4)*.
% 5.73/3.74 3325(e)[3:OCE:3321.0,3300.0] || -> .
% 5.73/3.74 3331[3:Spt:3325.0,3297.0,3299.0] || equal(skc5,skc3)** -> .
% 5.73/3.74 3332[3:Spt:3325.0,3297.1] || -> less(skc3,skc5)*.
% 5.73/3.74 3803[3:OCE:1720.2,3332.0] || -> less(skc3,U)* less(U,skc5)*.
% 5.73/3.74 3804[2:OCE:1720.2,3284.0] || -> less(skc4,U)* less(U,skc5)*.
% 5.73/3.74 6169[0:SpR:57.1,961.1] || model_max(U,V,W)* -> less(U,V) lesseq(U,W).
% 5.73/3.74 6170[0:SpR:58.1,961.1] || model_max(U,V,W)* -> less(V,U) lesseq(V,W).
% 5.73/3.74 8408[3:ThR:3804,3803,3183] || -> .
% 5.73/3.74 8409[1:Spt:8408.0,7.0,62.0] || minsol_model_ub(skc3,skc4,skc5)* -> .
% 5.73/3.74 8410[1:Spt:8408.0,7.1] || -> minsol_model_max(skc3,skc4,skc5)*.
% 5.73/3.74 10183[1:ThR:8410,6169,6170,3097,3013,1271,1224,726,671,9,18] || -> .
% 5.73/3.74
% 5.73/3.74 % SZS output end CNFRefutation for /tmp/SPASST_10015_n008.cluster.edu
% 5.73/3.74
% 5.73/3.74 Formulae used in the proof : fof_summation_type fof_minsol_model_ub fof_ub fof_model_ub_1 fof_minsol_model_max fof_max_1 fof_model_max_1 fof_max_is_ub_1 fof_max_2 fof_summation_monotone
% 5.73/3.79
% 5.73/3.79 SPASS+T ended
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