TSTP Solution File: SWW002_1 by SPASS+T---2.2.22
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : SWW002_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n020.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 21 01:29:26 EDT 2022
% Result : Theorem 1.55s 1.95s
% Output : Refutation 1.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW002_1 : TPTP v8.1.0. Released v5.0.0.
% 0.12/0.13 % Command : spasst-tptp-script %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 4 12:34:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.48 % Using integer theory
% 1.55/1.95
% 1.55/1.95
% 1.55/1.95 % SZS status Theorem for /tmp/SPASST_26050_n020.cluster.edu
% 1.55/1.95
% 1.55/1.95 SPASS V 2.2.22 in combination with yices.
% 1.55/1.95 SPASS beiseite: Proof found by SPASS.
% 1.55/1.95 Problem: /tmp/SPASST_26050_n020.cluster.edu
% 1.55/1.95 SPASS derived 269 clauses, backtracked 32 clauses and kept 234 clauses.
% 1.55/1.95 SPASS backtracked 9 times (0 times due to theory inconsistency).
% 1.55/1.95 SPASS allocated 7041 KBytes.
% 1.55/1.95 SPASS spent 0:00:00.17 on the problem.
% 1.55/1.95 0:00:00.01 for the input.
% 1.55/1.95 0:00:00.05 for the FLOTTER CNF translation.
% 1.55/1.95 0:00:00.01 for inferences.
% 1.55/1.95 0:00:00.00 for the backtracking.
% 1.55/1.95 0:00:00.07 for the reduction.
% 1.55/1.95 0:00:00.01 for interacting with the SMT procedure.
% 1.55/1.95
% 1.55/1.95
% 1.55/1.95 % SZS output start CNFRefutation for /tmp/SPASST_26050_n020.cluster.edu
% 1.55/1.95
% 1.55/1.95 % Here is a proof with depth 6, length 78 :
% 1.55/1.95 8[0:Inp] || -> less(z2,z1)*.
% 1.55/1.95 13[0:Inp] || equal(z2,z1)** -> .
% 1.55/1.95 14[0:Inp] || equal(z3,z1)** -> .
% 1.55/1.95 15[0:Inp] || equal(z4,z1)** -> .
% 1.55/1.95 17[0:Inp] || equal(z3,z2)** -> .
% 1.55/1.95 18[0:Inp] || equal(z4,z2)** -> .
% 1.55/1.95 20[0:Inp] || equal(z4,z3)** -> .
% 1.55/1.95 23[0:Inp] || -> equal(a(z1),4)**.
% 1.55/1.95 24[0:Inp] || -> equal(a(z2),10)**.
% 1.55/1.95 26[0:Inp] || -> less(b(z2),3)*.
% 1.55/1.95 27[0:Inp] || -> equal(b(z3),5)**.
% 1.55/1.95 28[0:Inp] || -> equal(b(z4),2)**.
% 1.55/1.95 67[0:Inp] || equal(b(U),2)** equal(a(U),8) equal(a(V),10) less(b(V),3)* less(V,W)* equal(a(W),4) -> equal(V,U)* equal(W,U)* equal(W,V).
% 1.55/1.95 84[0:Inp] || equal(a(U),2)** equal(b(V),5)** equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),4) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 1.55/1.95 86[0:Inp] || equal(b(U),2)** equal(a(V),8)** equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),4) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 1.55/1.95 88[0:Inp] || equal(b(U),2)** equal(b(V),5)** equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),4) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 1.55/1.95 174[0:TOC:67.4] || equal(a(U),4)+ 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))*.
% 1.55/1.95 191[0:TOC:84.4] || equal(a(U),4)+ equal(a(V),10) equal(b(W),5)** equal(a(X),2)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(3,b(V))*.
% 1.55/1.95 193[0:TOC:86.4] || equal(a(U),4)+ equal(a(V),10) equal(a(W),8)** equal(b(X),2)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(3,b(V))*.
% 1.55/1.95 195[0:TOC:88.4] || equal(a(U),4)+ equal(a(V),10) equal(b(W),5)** equal(b(X),2)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(3,b(V))*.
% 1.55/1.95 409[0:SpL:23.0,174.0] || equal(4,4) 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))*.
% 1.55/1.95 410[0:ArS:409.0] || 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))*.
% 1.55/1.95 414[0:SpL:24.0,410.0] || 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))*.
% 1.55/1.95 417[0:ArS:414.0] || equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.55/1.95 418(e)[0:MRR:417.2,13.0] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.55/1.95 420[1:Spt:418.4] || -> lesseq(z1,z2)*.
% 1.55/1.95 423(e)[1:OCE:420.0,8.0] || -> .
% 1.55/1.95 426[1:Spt:423.0,418.4,420.0] || lesseq(z1,z2)* -> .
% 1.55/1.95 427(e)[1:Spt:423.0,418.0,418.1,418.2,418.3,418.5] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(3,b(z2))*.
% 1.55/1.95 430[2:Spt:427.4] || -> lesseq(3,b(z2))*.
% 1.55/1.95 433(e)[2:OCE:430.0,26.0] || -> .
% 1.55/1.95 438[2:Spt:433.0,427.4,430.0] || lesseq(3,b(z2))* -> .
% 1.55/1.95 439[2:Spt:433.0,427.0,427.1,427.2,427.3] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U).
% 1.55/1.95 632[0:SpL:23.0,191.0] || equal(4,4) equal(a(U),10) equal(b(V),5)** equal(a(W),2)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.55/1.95 633[0:ArS:632.0] || equal(a(U),10)+ equal(b(V),5)** equal(a(W),2)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.55/1.95 638[0:SpL:23.0,193.0] || equal(4,4) equal(a(U),10) equal(a(V),8)** equal(b(W),2)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.55/1.95 639[0:ArS:638.0] || equal(a(U),10)+ equal(a(V),8)** equal(b(W),2)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.55/1.95 643[0:SpL:24.0,633.0] || equal(10,10) equal(b(U),5)** equal(a(V),2)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.55/1.95 646[0:ArS:643.0] || equal(b(U),5)** equal(a(V),2)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.55/1.95 647(e)[0:MRR:646.2,13.0] || equal(b(U),5)** equal(a(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.55/1.95 649[3:Spt:647.7] || -> lesseq(z1,z2)*.
% 1.55/1.95 652(e)[3:OCE:649.0,8.0] || -> .
% 1.55/1.95 655[3:Spt:652.0,647.7,649.0] || lesseq(z1,z2)* -> .
% 1.55/1.95 656(e)[3:Spt:652.0,647.0,647.1,647.2,647.3,647.4,647.5,647.6,647.8] || equal(b(U),5)** equal(a(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 1.55/1.95 658[4:Spt:656.7] || -> lesseq(3,b(z2))*.
% 1.55/1.95 661(e)[4:OCE:658.0,26.0] || -> .
% 1.55/1.95 666[4:Spt:661.0,656.7,658.0] || lesseq(3,b(z2))* -> .
% 1.55/1.95 667[4:Spt:661.0,656.0,656.1,656.2,656.3,656.4,656.5,656.6] || equal(b(U),5)**+ equal(a(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 1.55/1.95 683[0:SpL:23.0,195.0] || equal(4,4) equal(a(U),10) equal(b(V),5)** equal(b(W),2)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.55/1.95 684[0:ArS:683.0] || equal(a(U),10)+ equal(b(V),5)** equal(b(W),2)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.55/1.95 688[0:SpL:24.0,639.0] || equal(10,10) equal(a(U),8)** equal(b(V),2)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.55/1.95 691[0:ArS:688.0] || equal(a(U),8)** equal(b(V),2)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.55/1.95 692(e)[0:MRR:691.2,13.0] || equal(a(U),8)** equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.55/1.95 694[5:Spt:692.7] || -> lesseq(z1,z2)*.
% 1.55/1.95 697(e)[5:OCE:694.0,8.0] || -> .
% 1.55/1.95 700[5:Spt:697.0,692.7,694.0] || lesseq(z1,z2)* -> .
% 1.55/1.95 701(e)[5:Spt:697.0,692.0,692.1,692.2,692.3,692.4,692.5,692.6,692.8] || equal(a(U),8)** equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 1.55/1.95 703[6:Spt:701.7] || -> lesseq(3,b(z2))*.
% 1.55/1.95 706(e)[6:OCE:703.0,26.0] || -> .
% 1.55/1.95 711[6:Spt:706.0,701.7,703.0] || lesseq(3,b(z2))* -> .
% 1.55/1.95 712[6:Spt:706.0,701.0,701.1,701.2,701.3,701.4,701.5,701.6] || equal(a(U),8)**+ equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 1.55/1.95 722[0:SpL:24.0,684.0] || equal(10,10) equal(b(U),5)** equal(b(V),2)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.55/1.95 725[0:ArS:722.0] || equal(b(U),5)** equal(b(V),2)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.55/1.95 726(e)[0:MRR:725.2,13.0] || equal(b(U),5)** equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.55/1.95 734[7:Spt:726.7] || -> lesseq(z1,z2)*.
% 1.55/1.95 737(e)[7:OCE:734.0,8.0] || -> .
% 1.55/1.95 740[7:Spt:737.0,726.7,734.0] || lesseq(z1,z2)* -> .
% 1.55/1.95 741(e)[7:Spt:737.0,726.0,726.1,726.2,726.3,726.4,726.5,726.6,726.8] || equal(b(U),5)** equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 1.55/1.95 743[8:Spt:741.7] || -> lesseq(3,b(z2))*.
% 1.55/1.95 746(e)[8:OCE:743.0,26.0] || -> .
% 1.55/1.95 751[8:Spt:746.0,741.7,743.0] || lesseq(3,b(z2))* -> .
% 1.55/1.95 752[8:Spt:746.0,741.0,741.1,741.2,741.3,741.4,741.5,741.6] || equal(b(U),5)**+ equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 1.55/1.95 755[8:SpL:27.0,752.0] || equal(5,5) equal(b(U),2)** -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 1.55/1.95 756[8:ArS:755.0] || equal(b(U),2)** -> equal(z3,z1) equal(z1,U) equal(z2,U) equal(z3,z2) equal(z3,U).
% 1.55/1.95 757[8:MRR:756.1,756.4,14.0,17.0] || equal(b(U),2)** -> equal(z1,U) equal(z2,U) equal(z3,U).
% 1.55/1.95 759[8:SpL:28.0,757.0] || equal(2,2) -> equal(z4,z1) equal(z4,z2) equal(z4,z3)**.
% 1.55/1.95 761[8:ArS:759.0] || -> equal(z4,z1) equal(z4,z2) equal(z4,z3)**.
% 1.55/1.95 762(e)[8:MRR:761.0,761.1,761.2,15.0,18.0,20.0] || -> .
% 1.55/1.95
% 1.55/1.95 % SZS output end CNFRefutation for /tmp/SPASST_26050_n020.cluster.edu
% 1.55/1.95
% 1.55/1.95 Formulae used in the proof : fof_z1_type fof_0
% 1.55/1.97
% 1.55/1.98 SPASS+T ended
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