TSTP Solution File: SWV998_1 by SPASS+T---2.2.22
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%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : SWV998_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n019.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 21:49:39 EDT 2022
% Result : Theorem 1.51s 1.90s
% Output : Refutation 1.51s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV998_1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.12 % Command : spasst-tptp-script %s %d
% 0.12/0.33 % Computer : n019.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 Jun 16 01:43:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.46 % Using integer theory
% 1.51/1.90
% 1.51/1.90
% 1.51/1.90 % SZS status Theorem for /tmp/SPASST_28204_n019.cluster.edu
% 1.51/1.90
% 1.51/1.90 SPASS V 2.2.22 in combination with yices.
% 1.51/1.90 SPASS beiseite: Proof found by SPASS.
% 1.51/1.90 Problem: /tmp/SPASST_28204_n019.cluster.edu
% 1.51/1.90 SPASS derived 296 clauses, backtracked 24 clauses and kept 218 clauses.
% 1.51/1.90 SPASS backtracked 7 times (0 times due to theory inconsistency).
% 1.51/1.90 SPASS allocated 7026 KBytes.
% 1.51/1.90 SPASS spent 0:00:00.16 on the problem.
% 1.51/1.90 0:00:00.01 for the input.
% 1.51/1.90 0:00:00.05 for the FLOTTER CNF translation.
% 1.51/1.90 0:00:00.01 for inferences.
% 1.51/1.90 0:00:00.00 for the backtracking.
% 1.51/1.90 0:00:00.08 for the reduction.
% 1.51/1.90 0:00:00.01 for interacting with the SMT procedure.
% 1.51/1.90
% 1.51/1.90
% 1.51/1.90 % SZS output start CNFRefutation for /tmp/SPASST_28204_n019.cluster.edu
% 1.51/1.90
% 1.51/1.90 % Here is a proof with depth 5, length 64 :
% 1.51/1.90 8[0:Inp] || -> less(z2,z1)*.
% 1.51/1.90 13[0:Inp] || equal(z2,z1)** -> .
% 1.51/1.90 15[0:Inp] || equal(z4,z1)** -> .
% 1.51/1.90 18[0:Inp] || equal(z4,z2)** -> .
% 1.51/1.90 23[0:Inp] || -> equal(a(z1),5)**.
% 1.51/1.90 24[0:Inp] || -> equal(a(z2),10)**.
% 1.51/1.90 25[0:Inp] || -> equal(a(z4),7)**.
% 1.51/1.90 26[0:Inp] || -> equal(b(z1),5)**.
% 1.51/1.90 27[0:Inp] || -> less(b(z2),3)*.
% 1.51/1.90 29[0:Inp] || -> equal(b(z4),2)**.
% 1.51/1.90 72[0:Inp] || equal(b(U),2)** equal(a(U),8) equal(a(V),10) less(b(V),3)* less(V,W)* equal(a(W),5) -> equal(V,U)* equal(W,U)* equal(W,V).
% 1.51/1.90 80[0:Inp] || equal(b(U),2)** equal(a(U),6) equal(a(V),10) less(b(V),3)* less(V,W)* equal(b(W),5) equal(a(W),5) -> equal(V,U)* equal(W,U)* equal(W,V).
% 1.51/1.90 84[0:Inp] || equal(b(U),2)** equal(a(U),7) equal(a(V),10) less(b(V),3)* less(V,W)* equal(b(W),5) equal(a(W),5) -> equal(V,U)* equal(W,U)* equal(W,V).
% 1.51/1.90 175[0:TOC:72.4] || equal(a(U),5)+ equal(a(V),10) equal(a(W),8) equal(b(W),2)** -> equal(U,V) equal(U,W)* equal(V,W)* lesseq(U,V)* lesseq(3,b(V))*.
% 1.51/1.90 183[0:TOC:80.4] || equal(b(U),5)+ equal(a(U),5) equal(a(V),10) equal(a(W),6) equal(b(W),2)** -> equal(U,V) equal(U,W)* equal(V,W)* lesseq(U,V)* lesseq(3,b(V))*.
% 1.51/1.90 187[0:TOC:84.4] || equal(b(U),5)+ equal(a(U),5) equal(a(V),10) equal(a(W),7) equal(b(W),2)** -> equal(U,V) equal(U,W)* equal(V,W)* lesseq(U,V)* lesseq(3,b(V))*.
% 1.51/1.90 432[0:SpL:23.0,175.0] || equal(5,5) equal(a(U),10) equal(a(V),8) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.51/1.90 433[0:ArS:432.0] || equal(a(U),10)+ equal(a(V),8) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.51/1.90 437[0:SpL:24.0,433.0] || equal(10,10) equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.51/1.90 440[0:ArS:437.0] || equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.51/1.90 441(e)[0:MRR:440.2,13.0] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.51/1.90 443[1:Spt:441.4] || -> lesseq(z1,z2)*.
% 1.51/1.90 446(e)[1:OCE:443.0,8.0] || -> .
% 1.51/1.90 449[1:Spt:446.0,441.4,443.0] || lesseq(z1,z2)* -> .
% 1.51/1.90 450(e)[1:Spt:446.0,441.0,441.1,441.2,441.3,441.5] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(3,b(z2))*.
% 1.51/1.90 453[2:Spt:450.4] || -> lesseq(3,b(z2))*.
% 1.51/1.90 456(e)[2:OCE:453.0,27.0] || -> .
% 1.51/1.90 461[2:Spt:456.0,450.4,453.0] || lesseq(3,b(z2))* -> .
% 1.51/1.90 462[2:Spt:456.0,450.0,450.1,450.2,450.3] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U).
% 1.51/1.90 791[0:SpL:26.0,183.0] || equal(5,5) equal(a(z1),5) equal(a(U),10) equal(a(V),6) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.51/1.90 792[0:ArS:791.0] || equal(a(z1),5) equal(a(U),10) equal(a(V),6) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.51/1.90 793[0:Rew:23.0,792.0] || equal(5,5) equal(a(U),10) equal(a(V),6) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.51/1.90 794[0:ArS:793.0] || equal(a(U),10)+ equal(a(V),6) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.51/1.90 799[0:SpL:26.0,187.0] || equal(5,5) equal(a(z1),5) equal(a(U),10) equal(a(V),7) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.51/1.90 800[0:ArS:799.0] || equal(a(z1),5) equal(a(U),10) equal(a(V),7) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.51/1.90 801[0:Rew:23.0,800.0] || equal(5,5) equal(a(U),10) equal(a(V),7) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.51/1.90 802[0:ArS:801.0] || equal(a(U),10)+ equal(a(V),7) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.51/1.90 806[0:SpL:24.0,794.0] || equal(10,10) equal(a(U),6) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.51/1.90 809[0:ArS:806.0] || equal(a(U),6) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.51/1.90 810(e)[0:MRR:809.2,13.0] || equal(a(U),6) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.51/1.90 812[3:Spt:810.4] || -> lesseq(z1,z2)*.
% 1.51/1.90 815(e)[3:OCE:812.0,8.0] || -> .
% 1.51/1.90 818[3:Spt:815.0,810.4,812.0] || lesseq(z1,z2)* -> .
% 1.51/1.90 819(e)[3:Spt:815.0,810.0,810.1,810.2,810.3,810.5] || equal(a(U),6) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(3,b(z2))*.
% 1.51/1.90 821[4:Spt:819.4] || -> lesseq(3,b(z2))*.
% 1.51/1.90 824(e)[4:OCE:821.0,27.0] || -> .
% 1.51/1.90 829[4:Spt:824.0,819.4,821.0] || lesseq(3,b(z2))* -> .
% 1.51/1.90 830[4:Spt:824.0,819.0,819.1,819.2,819.3] || equal(a(U),6) equal(b(U),2)** -> equal(z1,U) equal(z2,U).
% 1.51/1.90 842[0:SpL:24.0,802.0] || equal(10,10) equal(a(U),7) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.51/1.90 845[0:ArS:842.0] || equal(a(U),7) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.51/1.90 846(e)[0:MRR:845.2,13.0] || equal(a(U),7) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.51/1.90 854[5:Spt:846.4] || -> lesseq(z1,z2)*.
% 1.51/1.90 857(e)[5:OCE:854.0,8.0] || -> .
% 1.51/1.90 860[5:Spt:857.0,846.4,854.0] || lesseq(z1,z2)* -> .
% 1.51/1.90 861(e)[5:Spt:857.0,846.0,846.1,846.2,846.3,846.5] || equal(a(U),7) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(3,b(z2))*.
% 1.51/1.90 863[6:Spt:861.4] || -> lesseq(3,b(z2))*.
% 1.51/1.90 866(e)[6:OCE:863.0,27.0] || -> .
% 1.51/1.90 871[6:Spt:866.0,861.4,863.0] || lesseq(3,b(z2))* -> .
% 1.51/1.90 872[6:Spt:866.0,861.0,861.1,861.2,861.3] || equal(a(U),7) equal(b(U),2)** -> equal(z1,U) equal(z2,U).
% 1.51/1.90 874[6:SpL:29.0,872.1] || equal(a(z4),7)** equal(2,2) -> equal(z4,z1) equal(z4,z2).
% 1.51/1.90 877[6:ArS:874.1] || equal(a(z4),7)** -> equal(z4,z1) equal(z4,z2).
% 1.51/1.90 878[6:Rew:25.0,877.0] || equal(7,7) -> equal(z4,z1) equal(z4,z2)**.
% 1.51/1.90 879[6:ArS:878.0] || -> equal(z4,z1) equal(z4,z2)**.
% 1.51/1.90 880(e)[6:MRR:879.0,879.1,15.0,18.0] || -> .
% 1.51/1.90
% 1.51/1.90 % SZS output end CNFRefutation for /tmp/SPASST_28204_n019.cluster.edu
% 1.51/1.90
% 1.51/1.90 Formulae used in the proof : fof_z1_type fof_0
% 1.51/1.92
% 1.51/1.92 SPASS+T ended
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