TSTP Solution File: LCL086-1 by CARINE---0.734
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- Process Solution
%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : LCL086-1 : TPTP v5.0.0. Released v1.0.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Nov 27 23:55:04 EST 2010
% Result : Unsatisfiable 4.98s
% Output : Refutation 4.98s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Command entered:
% /home/graph/tptp/Systems/CARINE---0.734/carine /tmp/SystemOnTPTP11209/LCL/LCL086-1+noeq.car t=300 xo=off uct=32000
% CARINE version 0.734 (Dec 2003)
% Initializing tables ... done.
% Parsing ... done.
% Calculating time slices ... done.
% Building Lookup Tables ... done.
% Looking for a proof at depth = 1 ...
% t = 0 secs [nr = 3] [nf = 0] [nu = 0] [ut = 2]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 113] [nf = 0] [nu = 40] [ut = 36]
% Looking for a proof at depth = 3 ...
% t = 0 secs [nr = 279] [nf = 6] [nu = 128] [ut = 36]
% Looking for a proof at depth = 4 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~is_a_theorem_1(implies_2(a_0(),a_0()))
% B1: is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0)))))
% B2: ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1)
% Unit Clauses:
% --------------
% U1: < d0 v9 dv5 f8 c0 t17 td5 b > is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0)))))
% U3: < d2 v10 dv6 f9 c0 t19 td6 > is_a_theorem_1(implies_2(x0,implies_2(implies_2(implies_2(implies_2(x1,x2),implies_2(x3,x2)),implies_2(x2,x4)),implies_2(x5,implies_2(x2,x4)))))
% U4: < d2 v9 dv5 f8 c0 t17 td5 > is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),implies_2(x1,x3)),implies_2(x4,implies_2(x1,x3))))
% U5: < d2 v6 dv4 f5 c0 t11 td5 > is_a_theorem_1(implies_2(x0,implies_2(x1,implies_2(implies_2(x1,x2),implies_2(x3,x2)))))
% U6: < d2 v5 dv3 f4 c0 t9 td4 > is_a_theorem_1(implies_2(x0,implies_2(implies_2(x0,x1),implies_2(x2,x1))))
% U11: < d2 v12 dv6 f11 c0 t23 td6 > is_a_theorem_1(implies_2(x0,implies_2(implies_2(implies_2(x1,x2),implies_2(implies_2(x3,x1),implies_2(x4,x1))),implies_2(x5,implies_2(implies_2(x3,x1),implies_2(x4,x1))))))
% U13: < d2 v8 dv5 f7 c0 t15 td6 > is_a_theorem_1(implies_2(x0,implies_2(implies_2(implies_2(x1,x2),x3),implies_2(implies_2(implies_2(x3,x4),x2),x3))))
% U39: < d4 v1 dv1 f5 c5 t11 td4 > ~is_a_theorem_1(implies_2(implies_2(implies_2(x0,a_0()),implies_2(a_0(),a_0())),implies_2(a_0(),a_0())))
% U690: < d4 v11 dv5 f10 c0 t21 td5 > is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(implies_2(x2,x0),implies_2(x3,x0))),implies_2(x4,implies_2(implies_2(x2,x0),implies_2(x3,x0)))))
% U711: < d4 v11 dv7 f15 c5 t31 td7 > ~is_a_theorem_1(implies_2(implies_2(x0,implies_2(implies_2(implies_2(implies_2(x1,x2),implies_2(x3,x2)),implies_2(x2,x4)),implies_2(x5,implies_2(x2,x4)))),implies_2(implies_2(implies_2(x6,a_0()),implies_2(a_0(),a_0())),implies_2(a_0(),a_0()))))
% U2079: < d4 v6 dv4 f5 c0 t11 td5 > is_a_theorem_1(implies_2(x0,implies_2(implies_2(implies_2(x1,x2),x1),implies_2(x3,x1))))
% U2101: < d4 v5 dv3 f4 c0 t9 td4 > is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),x0),implies_2(x2,x0)))
% U6079: < d4 v5 dv3 f4 c0 t9 td5 > is_a_theorem_1(implies_2(x0,implies_2(implies_2(implies_2(x1,x2),x1),x1)))
% --------------- Start of Proof ---------------
% Derivation of unit clause U1:
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... U1
% Derivation of unit clause U3:
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x3)), implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))), x5)) | is_a_theorem_1(x5) ....... R1 [B1:L0, B2:L0]
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... U1
% is_a_theorem_1(implies_2(x0, implies_2(implies_2(implies_2(implies_2(x1, x2), implies_2(x3, x2)), implies_2(x2, x4)), implies_2(x5, implies_2(x2, x4))))) ....... R2 [R1:L0, U1:L0]
% Derivation of unit clause U4:
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x3)), implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))), x5)) | is_a_theorem_1(x5) ....... R1 [B1:L0, B2:L0]
% is_a_theorem_1(implies_2(x0,implies_2(implies_2(implies_2(implies_2(x1,x2),implies_2(x3,x2)),implies_2(x2,x4)),implies_2(x5,implies_2(x2,x4))))) ....... U3
% is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x1)), implies_2(x1, x3)), implies_2(x4, implies_2(x1, x3)))) ....... R2 [R1:L0, U3:L0]
% Derivation of unit clause U5:
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x3)), implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))), x5)) | is_a_theorem_1(x5) ....... R1 [B1:L0, B2:L0]
% is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),implies_2(x1,x3)),implies_2(x4,implies_2(x1,x3)))) ....... U4
% is_a_theorem_1(implies_2(x0, implies_2(x1, implies_2(implies_2(x1, x2), implies_2(x3, x2))))) ....... R2 [R1:L0, U4:L0]
% Derivation of unit clause U6:
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x3)), implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))), x5)) | is_a_theorem_1(x5) ....... R1 [B1:L0, B2:L0]
% is_a_theorem_1(implies_2(x0,implies_2(x1,implies_2(implies_2(x1,x2),implies_2(x3,x2))))) ....... U5
% is_a_theorem_1(implies_2(x0, implies_2(implies_2(x0, x1), implies_2(x2, x1)))) ....... R2 [R1:L0, U5:L0]
% Derivation of unit clause U11:
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(x0, x1), implies_2(x2, x3))) | is_a_theorem_1(implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))) ....... R1 [B1:L0, B2:L1]
% is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),implies_2(x1,x3)),implies_2(x4,implies_2(x1,x3)))) ....... U4
% is_a_theorem_1(implies_2(x0, implies_2(implies_2(implies_2(x1, x2), implies_2(implies_2(x3, x1), implies_2(x4, x1))), implies_2(x5, implies_2(implies_2(x3, x1), implies_2(x4, x1)))))) ....... R2 [R1:L0, U4:L0]
% Derivation of unit clause U13:
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(x0, x1), implies_2(x2, x3))) | is_a_theorem_1(implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))) ....... R1 [B1:L0, B2:L1]
% is_a_theorem_1(implies_2(x0,implies_2(implies_2(x0,x1),implies_2(x2,x1)))) ....... U6
% is_a_theorem_1(implies_2(x0, implies_2(implies_2(implies_2(x1, x2), x3), implies_2(implies_2(implies_2(x3, x4), x2), x3)))) ....... R2 [R1:L0, U6:L0]
% Derivation of unit clause U39:
% ~is_a_theorem_1(implies_2(a_0(),a_0())) ....... B0
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0, implies_2(a_0(), a_0()))) ....... R1 [B0:L0, B2:L2]
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(x0, implies_2(a_0(), a_0()))) | ~is_a_theorem_1(x1) | ~is_a_theorem_1(implies_2(x1, x0)) ....... R2 [R1:L0, B2:L2]
% ~is_a_theorem_1(implies_2(x0, implies_2(a_0(), a_0()))) | ~is_a_theorem_1(implies_2(implies_2(x0, implies_2(a_0(), a_0())), x0)) ....... R3 [R2:L0, R2:L1]
% is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),implies_2(x1,x3)),implies_2(x4,implies_2(x1,x3)))) ....... U4
% ~is_a_theorem_1(implies_2(implies_2(implies_2(x0, a_0()), implies_2(a_0(), a_0())), implies_2(a_0(), a_0()))) ....... R4 [R3:L1, U4:L0]
% Derivation of unit clause U690:
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x3)), implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))), x5)) | is_a_theorem_1(x5) ....... R1 [B1:L0, B2:L0]
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x3)), implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))), x5)) | ~is_a_theorem_1(implies_2(x5, x6)) | is_a_theorem_1(x6) ....... R2 [R1:L1, B2:L0]
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... U1
% ~is_a_theorem_1(implies_2(implies_2(x0, implies_2(implies_2(implies_2(implies_2(x1, x2), implies_2(x3, x2)), implies_2(x2, x4)), implies_2(x5, implies_2(x2, x4)))), x6)) | is_a_theorem_1(x6) ....... R3 [R2:L0, U1:L0]
% is_a_theorem_1(implies_2(x0,implies_2(implies_2(implies_2(x1,x2),implies_2(implies_2(x3,x1),implies_2(x4,x1))),implies_2(x5,implies_2(implies_2(x3,x1),implies_2(x4,x1)))))) ....... U11
% is_a_theorem_1(implies_2(implies_2(implies_2(x0, x1), implies_2(implies_2(x2, x0), implies_2(x3, x0))), implies_2(x4, implies_2(implies_2(x2, x0), implies_2(x3, x0))))) ....... R4 [R3:L0, U11:L0]
% Derivation of unit clause U711:
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x3)), implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))), x5)) | is_a_theorem_1(x5) ....... R1 [B1:L0, B2:L0]
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x3)), implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))), x5)) | ~is_a_theorem_1(implies_2(x5, x6)) | is_a_theorem_1(x6) ....... R2 [R1:L1, B2:L0]
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... U1
% ~is_a_theorem_1(implies_2(implies_2(x0, implies_2(implies_2(implies_2(implies_2(x1, x2), implies_2(x3, x2)), implies_2(x2, x4)), implies_2(x5, implies_2(x2, x4)))), x6)) | is_a_theorem_1(x6) ....... R3 [R2:L0, U1:L0]
% ~is_a_theorem_1(implies_2(implies_2(implies_2(x0,a_0()),implies_2(a_0(),a_0())),implies_2(a_0(),a_0()))) ....... U39
% ~is_a_theorem_1(implies_2(implies_2(x0, implies_2(implies_2(implies_2(implies_2(x1, x2), implies_2(x3, x2)), implies_2(x2, x4)), implies_2(x5, implies_2(x2, x4)))), implies_2(implies_2(implies_2(x6, a_0()), implies_2(a_0(), a_0())), implies_2(a_0(), a_0())))) ....... R4 [R3:L1, U39:L0]
% Derivation of unit clause U2079:
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x3)), implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))), x5)) | is_a_theorem_1(x5) ....... R1 [B1:L0, B2:L0]
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x3)), implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))), x5)) | ~is_a_theorem_1(implies_2(x5, x6)) | is_a_theorem_1(x6) ....... R2 [R1:L1, B2:L0]
% is_a_theorem_1(implies_2(x0,implies_2(x1,implies_2(implies_2(x1,x2),implies_2(x3,x2))))) ....... U5
% ~is_a_theorem_1(implies_2(implies_2(x0, implies_2(implies_2(x0, x1), implies_2(x2, x1))), x3)) | is_a_theorem_1(x3) ....... R3 [R2:L0, U5:L0]
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(implies_2(x2,x0),implies_2(x3,x0))),implies_2(x4,implies_2(implies_2(x2,x0),implies_2(x3,x0))))) ....... U690
% is_a_theorem_1(implies_2(x0, implies_2(implies_2(implies_2(x1, x2), x1), implies_2(x3, x1)))) ....... R4 [R3:L0, U690:L0]
% Derivation of unit clause U2101:
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x3)), implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))), x5)) | is_a_theorem_1(x5) ....... R1 [B1:L0, B2:L0]
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x3)), implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))), x5)) | ~is_a_theorem_1(implies_2(x5, x6)) | is_a_theorem_1(x6) ....... R2 [R1:L1, B2:L0]
% is_a_theorem_1(implies_2(x0,implies_2(x1,implies_2(implies_2(x1,x2),implies_2(x3,x2))))) ....... U5
% ~is_a_theorem_1(implies_2(implies_2(x0, implies_2(implies_2(x0, x1), implies_2(x2, x1))), x3)) | is_a_theorem_1(x3) ....... R3 [R2:L0, U5:L0]
% is_a_theorem_1(implies_2(x0,implies_2(implies_2(implies_2(x1,x2),x1),implies_2(x3,x1)))) ....... U2079
% is_a_theorem_1(implies_2(implies_2(implies_2(x0, x1), x0), implies_2(x2, x0))) ....... R4 [R3:L0, U2079:L0]
% Derivation of unit clause U6079:
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x3)),implies_2(x4,implies_2(implies_2(x3,x0),implies_2(x2,x0))))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x3)), implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))), x5)) | is_a_theorem_1(x5) ....... R1 [B1:L0, B2:L0]
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x3)), implies_2(x4, implies_2(implies_2(x3, x0), implies_2(x2, x0)))), x5)) | ~is_a_theorem_1(implies_2(x5, x6)) | is_a_theorem_1(x6) ....... R2 [R1:L1, B2:L0]
% is_a_theorem_1(implies_2(x0,implies_2(implies_2(implies_2(x1,x2),x3),implies_2(implies_2(implies_2(x3,x4),x2),x3)))) ....... U13
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), x2), implies_2(implies_2(implies_2(x2, x3), x1), x2)), x4)) | is_a_theorem_1(x4) ....... R3 [R2:L0, U13:L0]
% is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),x0),implies_2(x2,x0))) ....... U2101
% is_a_theorem_1(implies_2(x0, implies_2(implies_2(implies_2(x1, x2), x1), x1))) ....... R4 [R3:L0, U2101:L0]
% Derivation of the empty clause:
% is_a_theorem_1(implies_2(x0,implies_2(implies_2(implies_2(x1,x2),x1),x1))) ....... U6079
% ~is_a_theorem_1(implies_2(implies_2(x0,implies_2(implies_2(implies_2(implies_2(x1,x2),implies_2(x3,x2)),implies_2(x2,x4)),implies_2(x5,implies_2(x2,x4)))),implies_2(implies_2(implies_2(x6,a_0()),implies_2(a_0(),a_0())),implies_2(a_0(),a_0())))) ....... U711
% [] ....... R1 [U6079:L0, U711:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 16354
% resolvents: 16344 factors: 10
% Number of unit clauses generated: 16046
% % unit clauses generated to total clauses generated: 98.12
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 2 [2] = 34 [4] = 6044
% Total = 6080
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 16046 [2] = 297 [3] = 11
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] is_a_theorem_1 (+)319 (-)5761
% ------------------
% Total: (+)319 (-)5761
% Total number of unit clauses retained: 6080
% Number of clauses skipped because of their length: 156
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 16390
% Number of unification failures: 20641
% Number of unit to unit unification failures: 1832655
% N literal unification failure due to lookup root_id table: 26
% N base clause resolution failure due to lookup table: 0
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 15
% N unit clauses dropped because they exceeded max values: 9370
% N unit clauses dropped because too much nesting: 1805
% N unit clauses not constrcuted because table was full: 0
% N unit clauses dropped because UCFA table was full: 0
% Max number of terms in a unit clause: 63
% Max term depth in a unit clause: 11
% Number of states in UCFA table: 67558
% Total number of terms of all unit clauses in table: 318112
% Max allowed number of states in UCFA: 528000
% Ratio n states used/total allowed states: 0.13
% Ratio n states used/total unit clauses terms: 0.21
% Number of symbols (columns) in UCFA: 37
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 37031
% ConstructUnitClause() = 15448
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.09 secs
% --------------------------------------------------------
% | |
% Inferences per sec: 4088
% | |
% --------------------------------------------------------
% Elapsed time: 5 secs
% CPU time: 4.97 secs
%
%------------------------------------------------------------------------------