TPTP Problem File: SYN094-1.005.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN094-1.005 : TPTP v8.2.0. Bugfixed v1.2.1.
% Domain : Syntactic
% Problem : Plaisted problem u(t(3,5))
% Version : Biased.
% English :
% Refs : [Pla94] Plaisted (1994), The Search Efficiency of Theorem Prov
% Source : [Pla94]
% Names : U(T3n) [Pla94]
% Status : Unsatisfiable
% Rating : 0.33 v5.5.0, 0.00 v2.1.0
% Syntax : Number of clauses : 82 ( 1 unt; 40 nHn; 82 RR)
% Number of literals : 232 ( 0 equ; 111 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 63 ( 63 usr; 63 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% SPC : CNF_UNS_PRP
% Comments : Biased away from various calculi.
% : tptp2X: -f tptp -s5 SYN094-1.g
% Bugfixes : v1.2.1 - Bugfix in SYN087-1.
%--------------------------------------------------------------------------
cnf(u_s3_goal_1,negated_conjecture,
( u_1
| ~ p_0
| ~ q_0 ) ).
cnf(u_1_s3_goal_1,axiom,
~ u_1 ).
cnf(u_s3_type11_1,axiom,
( u_2
| p_0
| ~ p_1
| ~ p_2 ) ).
cnf(u_2_s3_type11_1,axiom,
( p_0
| ~ u_2 ) ).
cnf(u_s3_type11_2,axiom,
( u_3
| p_0
| ~ q_1
| ~ q_2 ) ).
cnf(u_3_s3_type11_2,axiom,
( p_0
| ~ u_3 ) ).
cnf(u_s3_type11_3,axiom,
( u_4
| p_1
| ~ p_2
| ~ p_3 ) ).
cnf(u_4_s3_type11_3,axiom,
( p_1
| ~ u_4 ) ).
cnf(u_s3_type11_4,axiom,
( u_5
| p_1
| ~ q_2
| ~ q_3 ) ).
cnf(u_5_s3_type11_4,axiom,
( p_1
| ~ u_5 ) ).
cnf(u_s3_type11_5,axiom,
( u_6
| p_2
| ~ p_3
| ~ p_4 ) ).
cnf(u_6_s3_type11_5,axiom,
( p_2
| ~ u_6 ) ).
cnf(u_s3_type11_6,axiom,
( u_7
| p_2
| ~ q_3
| ~ q_4 ) ).
cnf(u_7_s3_type11_6,axiom,
( p_2
| ~ u_7 ) ).
cnf(u_s3_type11_7,axiom,
( u_8
| p_3
| ~ p_4
| ~ p_5 ) ).
cnf(u_8_s3_type11_7,axiom,
( p_3
| ~ u_8 ) ).
cnf(u_s3_type11_8,axiom,
( u_9
| p_3
| ~ q_4
| ~ q_5 ) ).
cnf(u_9_s3_type11_8,axiom,
( p_3
| ~ u_9 ) ).
cnf(u_s3_type11_9,axiom,
( u_10
| p_4
| ~ p_5
| ~ p_6 ) ).
cnf(u_10_s3_type11_9,axiom,
( p_4
| ~ u_10 ) ).
cnf(u_s3_type11_10,axiom,
( u_11
| p_4
| ~ q_5
| ~ q_6 ) ).
cnf(u_11_s3_type11_10,axiom,
( p_4
| ~ u_11 ) ).
cnf(u_s3_type11_11,axiom,
( u_12
| p_5
| ~ p_6
| ~ p_7 ) ).
cnf(u_12_s3_type11_11,axiom,
( p_5
| ~ u_12 ) ).
cnf(u_s3_type11_12,axiom,
( u_13
| p_5
| ~ q_6
| ~ q_7 ) ).
cnf(u_13_s3_type11_12,axiom,
( p_5
| ~ u_13 ) ).
cnf(u_s3_type11_13,axiom,
( u_14
| p_6
| ~ p_7
| ~ p_8 ) ).
cnf(u_14_s3_type11_13,axiom,
( p_6
| ~ u_14 ) ).
cnf(u_s3_type11_14,axiom,
( u_15
| p_6
| ~ q_7
| ~ q_8 ) ).
cnf(u_15_s3_type11_14,axiom,
( p_6
| ~ u_15 ) ).
cnf(u_s3_type11_15,axiom,
( u_16
| p_7
| ~ p_8
| ~ p_9 ) ).
cnf(u_16_s3_type11_15,axiom,
( p_7
| ~ u_16 ) ).
cnf(u_s3_type11_16,axiom,
( u_17
| p_7
| ~ q_8
| ~ q_9 ) ).
cnf(u_17_s3_type11_16,axiom,
( p_7
| ~ u_17 ) ).
cnf(u_s3_type12_1,axiom,
( u_18
| q_0
| ~ p_1
| ~ q_2 ) ).
cnf(u_18_s3_type12_1,axiom,
( q_0
| ~ u_18 ) ).
cnf(u_s3_type12_2,axiom,
( u_19
| q_0
| ~ q_1
| ~ p_2 ) ).
cnf(u_19_s3_type12_2,axiom,
( q_0
| ~ u_19 ) ).
cnf(u_s3_type12_3,axiom,
( u_20
| q_1
| ~ p_2
| ~ q_3 ) ).
cnf(u_20_s3_type12_3,axiom,
( q_1
| ~ u_20 ) ).
cnf(u_s3_type12_4,axiom,
( u_21
| q_1
| ~ q_2
| ~ p_3 ) ).
cnf(u_21_s3_type12_4,axiom,
( q_1
| ~ u_21 ) ).
cnf(u_s3_type12_5,axiom,
( u_22
| q_2
| ~ p_3
| ~ q_4 ) ).
cnf(u_22_s3_type12_5,axiom,
( q_2
| ~ u_22 ) ).
cnf(u_s3_type12_6,axiom,
( u_23
| q_2
| ~ q_3
| ~ p_4 ) ).
cnf(u_23_s3_type12_6,axiom,
( q_2
| ~ u_23 ) ).
cnf(u_s3_type12_7,axiom,
( u_24
| q_3
| ~ p_4
| ~ q_5 ) ).
cnf(u_24_s3_type12_7,axiom,
( q_3
| ~ u_24 ) ).
cnf(u_s3_type12_8,axiom,
( u_25
| q_3
| ~ q_4
| ~ p_5 ) ).
cnf(u_25_s3_type12_8,axiom,
( q_3
| ~ u_25 ) ).
cnf(u_s3_type12_9,axiom,
( u_26
| q_4
| ~ p_5
| ~ q_6 ) ).
cnf(u_26_s3_type12_9,axiom,
( q_4
| ~ u_26 ) ).
cnf(u_s3_type12_10,axiom,
( u_27
| q_4
| ~ q_5
| ~ p_6 ) ).
cnf(u_27_s3_type12_10,axiom,
( q_4
| ~ u_27 ) ).
cnf(u_s3_type12_11,axiom,
( u_28
| q_5
| ~ p_6
| ~ q_7 ) ).
cnf(u_28_s3_type12_11,axiom,
( q_5
| ~ u_28 ) ).
cnf(u_s3_type12_12,axiom,
( u_29
| q_5
| ~ q_6
| ~ p_7 ) ).
cnf(u_29_s3_type12_12,axiom,
( q_5
| ~ u_29 ) ).
cnf(u_s3_type12_13,axiom,
( u_30
| q_6
| ~ p_7
| ~ q_8 ) ).
cnf(u_30_s3_type12_13,axiom,
( q_6
| ~ u_30 ) ).
cnf(u_s3_type12_14,axiom,
( u_31
| q_6
| ~ q_7
| ~ p_8 ) ).
cnf(u_31_s3_type12_14,axiom,
( q_6
| ~ u_31 ) ).
cnf(u_s3_type12_15,axiom,
( u_32
| q_7
| ~ p_8
| ~ q_9 ) ).
cnf(u_32_s3_type12_15,axiom,
( q_7
| ~ u_32 ) ).
cnf(u_s3_type12_16,axiom,
( u_33
| q_7
| ~ q_8
| ~ p_9 ) ).
cnf(u_33_s3_type12_16,axiom,
( q_7
| ~ u_33 ) ).
cnf(u_s3_type2_1,axiom,
( u_34
| p_9
| ~ p_4 ) ).
cnf(u_34_s3_type2_1,axiom,
( p_9
| ~ u_34 ) ).
cnf(u_s3_type2_2,axiom,
( u_35
| p_10
| ~ p_5 ) ).
cnf(u_35_s3_type2_2,axiom,
( p_10
| ~ u_35 ) ).
cnf(u_s3_type2_3,axiom,
( u_36
| q_9
| ~ q_4 ) ).
cnf(u_36_s3_type2_3,axiom,
( q_9
| ~ u_36 ) ).
cnf(u_s3_type2_4,axiom,
( u_37
| q_10
| ~ q_5 ) ).
cnf(u_37_s3_type2_4,axiom,
( q_10
| ~ u_37 ) ).
cnf(u_t3_1,axiom,
( u_38
| p_8 ) ).
cnf(u_38_t3_1,axiom,
( p_8
| ~ u_38 ) ).
cnf(u_t3_2,axiom,
( u_39
| p_9 ) ).
cnf(u_39_t3_2,axiom,
( p_9
| ~ u_39 ) ).
cnf(u_t3_3,axiom,
( u_40
| q_8 ) ).
cnf(u_40_t3_3,axiom,
( q_8
| ~ u_40 ) ).
cnf(u_t3_4,axiom,
( u_41
| q_9 ) ).
cnf(u_41_t3_4,axiom,
( q_9
| ~ u_41 ) ).
%--------------------------------------------------------------------------