TSTP Solution File: NUM859_1 by SPASS+T---2.2.22
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : NUM859_1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n026.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 14:39:02 EDT 2022
% Result : Theorem 30.65s 16.66s
% Output : Refutation 30.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM859_1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : spasst-tptp-script %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 10:01:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % Using integer theory
% 30.65/16.66
% 30.65/16.66
% 30.65/16.66 % SZS status Theorem for /tmp/SPASST_3264_n026.cluster.edu
% 30.65/16.66
% 30.65/16.66 SPASS V 2.2.22 in combination with yices.
% 30.65/16.66 SPASS beiseite: Proof found by SPASS and SMT.
% 30.65/16.66 Problem: /tmp/SPASST_3264_n026.cluster.edu
% 30.65/16.66 SPASS derived 21254 clauses, backtracked 126 clauses and kept 12825 clauses.
% 30.65/16.66 SPASS backtracked 7 times (4 times due to theory inconsistency).
% 30.65/16.66 SPASS allocated 30460 KBytes.
% 30.65/16.66 SPASS spent 0:00:15.62 on the problem.
% 30.65/16.66 0:00:00.00 for the input.
% 30.65/16.66 0:00:00.00 for the FLOTTER CNF translation.
% 30.65/16.66 0:00:00.14 for inferences.
% 30.65/16.66 0:00:00.23 for the backtracking.
% 30.65/16.66 0:00:14.48 for the reduction.
% 30.65/16.66 0:00:00.32 for interacting with the SMT procedure.
% 30.65/16.66
% 30.65/16.66
% 30.65/16.66 % SZS output start CNFRefutation for /tmp/SPASST_3264_n026.cluster.edu
% 30.65/16.66
% 30.65/16.66 % Here is a proof with depth 7, length 108 :
% 30.65/16.66 3[0:Inp] || -> model_ub(U,V,skf5(W,V,U))*.
% 30.65/16.66 4[0:Inp] || -> model_max(U,V,skf4(W,V,U))*.
% 30.65/16.66 5[0:Inp] || -> ub(U,V,skf3(W,V,U))*.
% 30.65/16.66 6[0:Inp] || ub(U,V,W)* -> lesseq(V,W).
% 30.65/16.66 7[0:Inp] || ub(U,V,W)* -> lesseq(U,W).
% 30.65/16.66 8(e)[0:Inp] || -> minsol_model_ub(skc3,skc4,skc5)* minsol_model_max(skc3,skc4,skc5).
% 30.65/16.66 9[0:Inp] || minsol_model_ub(U,V,W) -> model_ub(U,V,W)*.
% 30.65/16.66 10[0:Inp] || minsol_model_max(U,V,W) -> model_max(U,V,W)*.
% 30.65/16.66 11[0:Inp] || lesseq(U,V) -> equal(max(U,V),V)**.
% 30.65/16.66 12[0:Inp] || lesseq(U,V) -> equal(max(V,U),V)**.
% 30.65/16.66 13[0:Inp] || lesseq(U,V) -> lesseq(summation(U),summation(V))*.
% 30.65/16.66 14[0:Inp] || lesseq(summation(U),summation(V))* -> lesseq(U,V).
% 30.65/16.66 15[0:Inp] || model_max(U,V,W) -> lesseq(max(U,V),W)*.
% 30.65/16.66 16[0:Inp] || lesseq(max(U,V),W)* -> model_max(U,V,W).
% 30.65/16.66 17[0:Inp] || minsol_model_ub(skc3,skc4,skc5)* minsol_model_max(skc3,skc4,skc5) -> .
% 30.65/16.66 18[0:Inp] || model_ub(U,V,W) -> lesseq(skf3(W,V,U),W)*.
% 30.65/16.66 19[0:Inp] || lesseq(U,V) lesseq(W,V) -> ub(U,W,V)*.
% 30.65/16.66 20[0:Inp] || minsol_model_ub(U,V,W)*+ model_ub(U,V,X)* -> lesseq(W,X)*.
% 30.65/16.66 21[0:Inp] || minsol_model_max(U,V,W)*+ model_max(U,V,X)* -> lesseq(W,X)*.
% 30.65/16.66 22[0:Inp] || lesseq(U,V)* ub(W,X,U)* -> model_ub(W,X,V)*.
% 30.65/16.66 23[0:Inp] || lesseq(U,skf5(U,V,W))* model_ub(W,V,U) -> minsol_model_ub(W,V,U).
% 30.65/16.66 24[0:Inp] || lesseq(U,skf4(U,V,W))* model_max(W,V,U) -> minsol_model_max(W,V,U).
% 30.65/16.66 34[0:ThA] || -> lesseq(U,U)*.
% 30.65/16.66 35[0:ThA] || -> less(U,plus(U,1))*.
% 30.65/16.66 37[0:ThA] || -> equal(U,V) less(V,U)* less(U,V)*.
% 30.65/16.66 56[0:TOC:14.0] || -> lesseq(U,V) less(summation(V),summation(U))*.
% 30.65/16.66 57[0:TOC:13.0] || -> less(U,V) lesseq(summation(V),summation(U))*.
% 30.65/16.66 58[0:TOC:12.0] || -> less(U,V) equal(max(U,V),U)**.
% 30.65/16.66 59[0:TOC:11.0] || -> less(U,V) equal(max(V,U),U)**.
% 30.65/16.66 60[0:TOC:16.0] || -> less(U,max(V,W))* model_max(V,W,U).
% 30.65/16.66 61[0:TOC:19.1] || -> less(U,V) less(U,W) ub(V,W,U)*.
% 30.65/16.66 62[0:TOC:22.0] || ub(U,V,W)*+ -> less(X,W)* model_ub(U,V,X)*.
% 30.65/16.66 63[0:TOC:24.0] || model_max(U,V,W) -> less(skf4(W,V,U),W)* minsol_model_max(U,V,W).
% 30.65/16.66 64[0:TOC:23.0] || model_ub(U,V,W) -> less(skf5(W,V,U),W)* minsol_model_ub(U,V,W).
% 30.65/16.66 65[1:Spt:8.0] || -> minsol_model_ub(skc3,skc4,skc5)*.
% 30.65/16.66 66[1:MRR:17.0,65.0] || minsol_model_max(skc3,skc4,skc5)* -> .
% 30.65/16.66 69[0:OCh:57.1,57.1] || -> less(U,V)* less(V,W)* lesseq(summation(W),summation(U))*.
% 30.65/16.66 76[0:OCh:56.1,56.1] || -> lesseq(U,V)* lesseq(V,W)* less(summation(W),summation(U))*.
% 30.65/16.66 210[0:Res:5.0,7.0] || -> lesseq(U,skf3(V,W,U))*.
% 30.65/16.66 265[0:Res:5.0,6.0] || -> lesseq(U,skf3(V,U,W))*.
% 30.65/16.66 292[0:OCE:60.0,35.0] || -> model_max(U,V,plus(max(U,V),1))*.
% 30.65/16.66 298[0:OCE:60.0,34.0] || -> model_max(U,V,max(U,V))*.
% 30.65/16.66 306[0:SpR:58.1,298.0] || -> less(U,V) model_max(U,V,U)*.
% 30.65/16.66 307[0:SpR:59.1,298.0] || -> less(U,V) model_max(V,U,U)*.
% 30.65/16.66 490[0:SpR:58.1,15.1] || model_max(U,V,W)* -> less(U,V) lesseq(U,W).
% 30.65/16.66 491[0:SpR:59.1,15.1] || model_max(U,V,W)* -> less(V,U) lesseq(V,W).
% 30.65/16.66 494[0:OCE:15.1,37.1] || model_max(U,V,W) -> equal(max(U,V),W) less(max(U,V),W)*.
% 30.65/16.66 498[0:OCh:15.1,60.0] || model_max(U,V,W)*+ -> model_max(U,V,X)* less(X,W)*.
% 30.65/16.66 637[0:OCh:18.1,210.0] || model_ub(U,V,W)* -> lesseq(U,W).
% 30.65/16.66 638[0:OCh:18.1,265.0] || model_ub(U,V,W)* -> lesseq(V,W).
% 30.65/16.66 707[0:Res:5.0,62.0] || -> less(U,skf3(V,W,X))* model_ub(X,W,U).
% 30.65/16.66 708[0:Res:61.2,62.0] || -> less(U,V)* less(U,W)* less(X,U)* model_ub(V,W,X)*.
% 30.65/16.66 841[1:Res:65.0,20.0] || model_ub(skc3,skc4,U)* -> lesseq(skc5,U).
% 30.65/16.66 1373[0:OCh:707.0,18.1] || model_ub(U,V,W)*+ -> model_ub(U,V,X)* less(X,W)*.
% 30.65/16.66 1775[0:OCE:76.2,69.2] || -> lesseq(U,V)* lesseq(V,W)* less(W,X)* less(X,U)*.
% 30.65/16.66 2369[0:Res:4.0,490.0] || -> less(U,V) lesseq(U,skf4(W,V,U))*.
% 30.65/16.66 2464[0:Res:4.0,491.0] || -> less(U,V) lesseq(U,skf4(W,U,V))*.
% 30.65/16.66 2877[0:Fac:708.0,708.1] || -> less(U,V)* less(W,U)* model_ub(V,V,W)*.
% 30.65/16.66 3056[0:OCE:708.1,34.0] || -> less(U,V) less(W,U) model_ub(V,U,W)*.
% 30.65/16.66 3423[0:SpR:59.1,494.2] || model_max(U,V,W)* -> less(V,U) equal(max(U,V),W) less(V,W).
% 30.65/16.66 3505(e)[0:Rew:59.1,3423.2] || model_max(U,V,W)* -> less(V,U) equal(V,W) less(V,W).
% 30.65/16.66 3805[0:Res:306.1,498.0] || -> less(U,V) model_max(U,V,W)* less(W,U).
% 30.65/16.66 3907[0:Res:307.1,498.0] || -> less(U,V) model_max(V,U,W)* less(W,U).
% 30.65/16.66 4110(e)[1:Res:708.3,841.0] || -> less(U,skc3) less(U,skc4)* less(V,U)* lesseq(skc5,V)*.
% 30.65/16.66 4179[0:Res:3.0,637.0] || -> lesseq(U,skf5(V,W,U))*.
% 30.65/16.66 4180(e)[0:Res:9.1,637.0] || minsol_model_ub(U,V,W)* -> lesseq(U,W).
% 30.65/16.66 4199(e)[0:OCh:4179.0,64.1] || model_ub(U,V,W)* -> minsol_model_ub(U,V,W) less(U,W).
% 30.65/16.66 4258[0:Res:3.0,638.0] || -> lesseq(U,skf5(V,U,W))*.
% 30.65/16.66 4259(e)[0:Res:9.1,638.0] || minsol_model_ub(U,V,W)* -> lesseq(V,W).
% 30.65/16.66 4278(e)[0:OCh:4258.0,64.1] || model_ub(U,V,W)* -> minsol_model_ub(U,V,W) less(V,W).
% 30.65/16.66 7335[1:ThR:4110,66,65,4259,4180,3907,3805,2464,2369,63] || -> .
% 30.65/16.66 7336[1:Spt:7335.0,8.0,65.0] || minsol_model_ub(skc3,skc4,skc5)* -> .
% 30.65/16.66 7337[1:Spt:7335.0,8.1] || -> minsol_model_max(skc3,skc4,skc5)*.
% 30.65/16.66 7338(e)[1:Res:7337.0,21.0] || model_max(skc3,skc4,U)* -> lesseq(skc5,U).
% 30.65/16.66 7395[1:Res:298.0,7338.0] || -> lesseq(skc5,max(skc3,skc4))*.
% 30.65/16.66 7405(e)[1:Res:307.1,7338.0] || -> less(skc4,skc3)* lesseq(skc5,skc4).
% 30.65/16.66 7411(e)[1:OCE:7395.0,37.1] || -> equal(max(skc3,skc4),skc5) less(skc5,max(skc3,skc4))*.
% 30.65/16.66 7421[1:OCE:7395.0,494.2] || model_max(skc3,skc4,skc5)* -> equal(max(skc3,skc4),skc5).
% 30.65/16.66 7424[2:Spt:7411.0] || -> equal(max(skc3,skc4),skc5)**.
% 30.65/16.66 7441(e)[2:SpR:7424.0,58.1] || -> less(skc3,skc4)* equal(skc5,skc3).
% 30.65/16.66 7444[2:SpR:7424.0,292.0] || -> model_max(skc3,skc4,plus(skc5,1))*.
% 30.65/16.66 7451(e)[2:SpR:7424.0,59.1] || -> less(skc4,skc3)* equal(skc5,skc4).
% 30.65/16.66 7468[3:Spt:7441.1] || -> equal(skc5,skc3)**.
% 30.65/16.66 7470[3:Rew:7468.0,7336.0] || minsol_model_ub(skc3,skc4,skc3)* -> .
% 30.65/16.66 7471[3:Rew:7468.0,7338.1] || model_max(skc3,skc4,U)* -> lesseq(skc3,U).
% 30.65/16.66 7472[3:Rew:7468.0,7424.0] || -> equal(max(skc3,skc4),skc3)**.
% 30.65/16.66 7478(e)[3:Rew:7468.0,7451.1] || -> less(skc4,skc3)* equal(skc4,skc3).
% 30.65/16.66 7493[4:Spt:7478.1] || -> equal(skc4,skc3)**.
% 30.65/16.66 7496[4:Rew:7493.0,7470.0] || minsol_model_ub(skc3,skc3,skc3)* -> .
% 30.65/16.66 7497[4:Rew:7493.0,7472.0] || -> equal(max(skc3,skc3),skc3)**.
% 30.65/16.66 7501[4:Rew:7493.0,7471.0] || model_max(skc3,skc3,U)* -> lesseq(skc3,U).
% 30.65/16.66 7518[4:SpR:7497.0,298.0] || -> model_max(skc3,skc3,skc3)*.
% 30.65/16.66 7558[4:Res:298.0,7501.0] || -> lesseq(skc3,max(skc3,skc3))*.
% 30.65/16.66 10977(e)[0:OCE:2877.1,15.1] || model_max(U,V,W)* -> less(max(U,V),X)* model_ub(X,X,W)*.
% 30.65/16.66 16929(e)[0:Res:3056.2,1373.0] || -> less(U,V) less(W,U)* model_ub(V,U,X)* less(X,W)*.
% 30.65/16.66 17552(e)[0:OCE:1775.1,708.1] || -> lesseq(U,V)* less(W,X)* less(X,U)* less(W,Y)* less(Z,W)* model_ub(Y,V,Z)*.
% 30.65/16.66 18523[4:ThR:7558,7518,7496,10977,4278] || -> .
% 30.65/16.66 18524[4:Spt:18523.0,7478.1,7493.0] || equal(skc4,skc3)** -> .
% 30.65/16.66 18525[4:Spt:18523.0,7478.0] || -> less(skc4,skc3)*.
% 30.65/16.66 21435[4:ThR:18525,7470,17552,4199] || -> .
% 30.65/16.66 21436[3:Spt:21435.0,7441.1,7468.0] || equal(skc5,skc3)** -> .
% 30.65/16.66 21437[3:Spt:21435.0,7441.0] || -> less(skc3,skc4)*.
% 30.65/16.66 24702[3:ThR:21437,7444,7451,7405,7336,16929,4278,3505] || -> .
% 30.65/16.66 24703(e)[2:Spt:24702.0,7411.0,7424.0] || equal(max(skc3,skc4),skc5)** -> .
% 30.65/16.66 24704[2:Spt:24702.0,7411.1] || -> less(skc5,max(skc3,skc4))*.
% 30.65/16.66 24705[2:MRR:7421.1,24703.0] || model_max(skc3,skc4,skc5)* -> .
% 30.65/16.66 24791[2:Res:10.1,24705.0] || minsol_model_max(skc3,skc4,skc5)* -> .
% 30.65/16.66 24793(e)[2:MRR:24791.0,7337.0] || -> .
% 30.65/16.66
% 30.65/16.66 % SZS output end CNFRefutation for /tmp/SPASST_3264_n026.cluster.edu
% 30.65/16.66
% 30.65/16.66 Formulae used in the proof : fof_summation_type fof_minsol_model_ub fof_ub fof_model_ub_2 fof_minsol_model_max fof_model_max_2 fof_max_is_ub_1 fof_max_2 fof_max_1 fof_summation_monotone
% 31.62/17.11
% 31.62/17.11 SPASS+T ended
%------------------------------------------------------------------------------