TSTP Solution File: PUZ031+2 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : PUZ031+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n014.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  : 300s
% DateTime : Mon Mar 25 14:29:01 EDT 2024

% Result   : Theorem 0.18s 0.47s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : PUZ031+2 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Mar 20 23:14:00 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.18/0.47  % SZS status Theorem for theBenchmark
% 0.18/0.47  % SZS output start Proof for theBenchmark
% 0.18/0.47  
% 0.18/0.47  % Formula: wolf_type ( axiom ) converted to clauses:
% 0.18/0.47  cnf(wolf_type-1, axiom, ( wolf(skolem1) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: fox_type ( axiom ) converted to clauses:
% 0.18/0.47  cnf(fox_type-1, axiom, ( fox(skolem2) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: bird_type ( axiom ) converted to clauses:
% 0.18/0.47  cnf(bird_type-1, axiom, ( bird(skolem3) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: caterpillar_type ( axiom ) converted to clauses:
% 0.18/0.47  cnf(caterpillar_type-1, axiom, ( caterpillar(skolem4) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: snail_type ( axiom ) converted to clauses:
% 0.18/0.47  cnf(snail_type-1, axiom, ( snail(skolem5) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_1_1 ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_1_1-1, axiom, ( ~wolf(_u5) | animal(_u5) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_2_1 ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_2_1-1, axiom, ( ~fox(_u6) | animal(_u6) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_3_1 ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_3_1-1, axiom, ( ~bird(_u7) | animal(_u7) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_4_1 ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_4_1-1, axiom, ( ~caterpillar(_u8) | animal(_u8) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_4_2 ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_4_2-1, axiom, ( ~snail(_u9) | animal(_u9) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: grain_type ( axiom ) converted to clauses:
% 0.18/0.47  cnf(grain_type-1, axiom, ( grain(skolem6) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_6_2 ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_6_2-1, axiom, ( ~grain(_u11) | plant(_u11) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_7 ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_7-1, axiom, ( ~animal(_u15) | ~plant(_u12) | eats(_u15, _u12) | ~animal(_u14) | ~much_smaller(_u14, _u15) | ~plant(_u13) | ~eats(_u14, _u13) | eats(_u15, _u14) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_8 ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_8-1, axiom, ( ~bird(_u17) | ~snail(_u16) | much_smaller(_u16, _u17) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_8a ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_8a-1, axiom, ( ~bird(_u19) | ~caterpillar(_u18) | much_smaller(_u18, _u19) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_9 ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_9-1, axiom, ( ~bird(_u21) | ~fox(_u20) | much_smaller(_u21, _u20) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_10 ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_10-1, axiom, ( ~fox(_u23) | ~wolf(_u22) | much_smaller(_u23, _u22) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_11 ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_11-1, axiom, ( ~wolf(_u25) | ~fox(_u24) | ~eats(_u25, _u24) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_11a ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_11a-1, axiom, ( ~wolf(_u27) | ~grain(_u26) | ~eats(_u27, _u26) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_12 ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_12-1, axiom, ( ~bird(_u29) | ~caterpillar(_u28) | eats(_u29, _u28) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_13 ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_13-1, axiom, ( ~bird(_u31) | ~snail(_u30) | ~eats(_u31, _u30) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_14 ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_14-1, axiom, ( ~caterpillar(_u33) | plant(skolem7(_u33)) )).
% 0.18/0.47  cnf(pel47_14-2, axiom, ( ~caterpillar(_u33) | eats(_u33, skolem7(_u33)) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47_14a ( axiom ) converted to clauses:
% 0.18/0.47  cnf(pel47_14a-1, axiom, ( ~snail(_u35) | plant(skolem8(_u35)) )).
% 0.18/0.47  cnf(pel47_14a-2, axiom, ( ~snail(_u35) | eats(_u35, skolem8(_u35)) )).
% 0.18/0.47  
% 0.18/0.47  % Formula: pel47 ( conjecture ) (definitionally) converted to clauses:
% 0.18/0.47  cnf(pel47-1, negated_conjecture, ( ~animal(_u38) | ~animal(_u37) | ~grain(_u36) | ~eats(_u37, _u36) | ~eats(_u38, _u37) )).
% 0.18/0.47  
% 0.18/0.47  % Problem matrix:
% 0.18/0.47  cnf(matrix-0, plain, ( wolf(skolem1) )).
% 0.18/0.47  cnf(matrix-1, plain, ( fox(skolem2) )).
% 0.18/0.47  cnf(matrix-2, plain, ( bird(skolem3) )).
% 0.18/0.47  cnf(matrix-3, plain, ( caterpillar(skolem4) )).
% 0.18/0.47  cnf(matrix-4, plain, ( snail(skolem5) )).
% 0.18/0.47  cnf(matrix-5, plain, ( ~wolf(_u5) | animal(_u5) )).
% 0.18/0.47  cnf(matrix-6, plain, ( ~fox(_u6) | animal(_u6) )).
% 0.18/0.47  cnf(matrix-7, plain, ( ~bird(_u7) | animal(_u7) )).
% 0.18/0.47  cnf(matrix-8, plain, ( ~caterpillar(_u8) | animal(_u8) )).
% 0.18/0.47  cnf(matrix-9, plain, ( ~snail(_u9) | animal(_u9) )).
% 0.18/0.47  cnf(matrix-10, plain, ( grain(skolem6) )).
% 0.18/0.47  cnf(matrix-11, plain, ( ~grain(_u11) | plant(_u11) )).
% 0.18/0.47  cnf(matrix-12, plain, ( ~animal(_u15) | ~plant(_u12) | eats(_u15, _u12) | ~animal(_u14) | ~much_smaller(_u14, _u15) | ~plant(_u13) | ~eats(_u14, _u13) | eats(_u15, _u14) )).
% 0.18/0.47  cnf(matrix-13, plain, ( ~bird(_u17) | ~snail(_u16) | much_smaller(_u16, _u17) )).
% 0.18/0.47  cnf(matrix-14, plain, ( ~bird(_u19) | ~caterpillar(_u18) | much_smaller(_u18, _u19) )).
% 0.18/0.47  cnf(matrix-15, plain, ( ~bird(_u21) | ~fox(_u20) | much_smaller(_u21, _u20) )).
% 0.18/0.47  cnf(matrix-16, plain, ( ~fox(_u23) | ~wolf(_u22) | much_smaller(_u23, _u22) )).
% 0.18/0.47  cnf(matrix-17, plain, ( ~wolf(_u25) | ~fox(_u24) | ~eats(_u25, _u24) )).
% 0.18/0.47  cnf(matrix-18, plain, ( ~wolf(_u27) | ~grain(_u26) | ~eats(_u27, _u26) )).
% 0.18/0.47  cnf(matrix-19, plain, ( ~bird(_u29) | ~caterpillar(_u28) | eats(_u29, _u28) )).
% 0.18/0.47  cnf(matrix-20, plain, ( ~bird(_u31) | ~snail(_u30) | ~eats(_u31, _u30) )).
% 0.18/0.47  cnf(matrix-21, plain, ( ~caterpillar(_u33) | plant(skolem7(_u33)) )).
% 0.18/0.47  cnf(matrix-22, plain, ( ~caterpillar(_u33) | eats(_u33, skolem7(_u33)) )).
% 0.18/0.47  cnf(matrix-23, plain, ( ~snail(_u35) | plant(skolem8(_u35)) )).
% 0.18/0.47  cnf(matrix-24, plain, ( ~snail(_u35) | eats(_u35, skolem8(_u35)) )).
% 0.18/0.47  cnf(matrix-25, plain, ( ~animal(_u38) | ~animal(_u37) | ~grain(_u36) | ~eats(_u37, _u36) | ~eats(_u38, _u37) )).
% 0.18/0.47  
% 0.18/0.47  % Proof stack:
% 0.18/0.47  cnf(proof-stack, plain, 
% 0.18/0.47  proof_stack(
% 0.18/0.47  start(25), 
% 0.18/0.47  left_branch(0, 6, 1, 2), 
% 0.18/0.47  left_branch(0, 1, 0, 3), 
% 0.18/0.47  right_branch(3), 
% 0.18/0.47  right_branch(2), 
% 0.18/0.47  left_branch(0, 12, 7, 3), 
% 0.18/0.47  lemmata(0, 0), 
% 0.18/0.47  left_branch(0, 12, 2, 5), 
% 0.18/0.47  left_branch(0, 7, 1, 6), 
% 0.18/0.47  left_branch(0, 2, 0, 7), 
% 0.18/0.47  right_branch(7), 
% 0.18/0.47  right_branch(6), 
% 0.18/0.47  left_branch(0, 24, 1, 7), 
% 0.18/0.47  left_branch(0, 4, 0, 8), 
% 0.18/0.47  right_branch(8), 
% 0.18/0.47  right_branch(7), 
% 0.18/0.47  left_branch(0, 23, 1, 8), 
% 0.18/0.47  left_branch(0, 4, 0, 9), 
% 0.18/0.47  right_branch(9), 
% 0.18/0.47  right_branch(8), 
% 0.18/0.47  left_branch(0, 13, 2, 9), 
% 0.18/0.47  left_branch(0, 2, 0, 10), 
% 0.18/0.47  right_branch(10), 
% 0.18/0.47  left_branch(0, 4, 0, 11), 
% 0.18/0.47  right_branch(11), 
% 0.18/0.47  right_branch(9), 
% 0.18/0.47  left_branch(0, 9, 1, 10), 
% 0.18/0.47  left_branch(0, 4, 0, 11), 
% 0.18/0.47  right_branch(11), 
% 0.18/0.47  right_branch(10), 
% 0.18/0.47  left_branch(0, 20, 2, 11), 
% 0.18/0.47  left_branch(0, 2, 0, 12), 
% 0.18/0.47  right_branch(12), 
% 0.18/0.47  left_branch(0, 4, 0, 13), 
% 0.18/0.47  right_branch(13), 
% 0.18/0.47  right_branch(11), 
% 0.18/0.47  left_branch(0, 23, 1, 12), 
% 0.18/0.47  left_branch(0, 4, 0, 13), 
% 0.18/0.47  right_branch(13), 
% 0.18/0.47  right_branch(12), 
% 0.18/0.47  right_branch(5), 
% 0.18/0.47  left_branch(0, 23, 1, 6), 
% 0.18/0.47  left_branch(0, 4, 0, 7), 
% 0.18/0.47  right_branch(7), 
% 0.18/0.47  right_branch(6), 
% 0.18/0.47  left_branch(0, 15, 2, 7), 
% 0.18/0.47  left_branch(0, 2, 0, 8), 
% 0.18/0.47  right_branch(8), 
% 0.18/0.47  left_branch(0, 1, 0, 9), 
% 0.18/0.47  right_branch(9), 
% 0.18/0.47  right_branch(7), 
% 0.18/0.47  left_branch(0, 7, 1, 8), 
% 0.18/0.47  left_branch(0, 2, 0, 9), 
% 0.18/0.47  right_branch(9), 
% 0.18/0.47  right_branch(8), 
% 0.18/0.47  left_branch(0, 12, 6, 9), 
% 0.18/0.47  left_branch(0, 5, 1, 10), 
% 0.18/0.47  left_branch(0, 0, 0, 11), 
% 0.18/0.47  right_branch(11), 
% 0.18/0.47  right_branch(10), 
% 0.18/0.47  left_branch(0, 25, 4, 11), 
% 0.18/0.47  lemmata(0, 5), 
% 0.18/0.47  reduction(0, 1), 
% 0.18/0.47  left_branch(0, 10, 0, 14), 
% 0.18/0.47  right_branch(14), 
% 0.18/0.47  lemmata(0, 0), 
% 0.18/0.47  right_branch(11), 
% 0.18/0.47  left_branch(0, 11, 1, 12), 
% 0.18/0.47  left_branch(0, 10, 0, 13), 
% 0.18/0.47  right_branch(13), 
% 0.18/0.47  right_branch(12), 
% 0.18/0.47  left_branch(0, 16, 2, 13), 
% 0.18/0.47  left_branch(0, 1, 0, 14), 
% 0.18/0.47  right_branch(14), 
% 0.18/0.47  left_branch(0, 0, 0, 15), 
% 0.18/0.47  right_branch(15), 
% 0.18/0.47  right_branch(13), 
% 0.18/0.47  lemmata(0, 0), 
% 0.18/0.47  left_branch(0, 18, 2, 15), 
% 0.18/0.47  left_branch(0, 0, 0, 16), 
% 0.18/0.47  right_branch(16), 
% 0.18/0.47  left_branch(0, 10, 0, 17), 
% 0.18/0.47  right_branch(17), 
% 0.18/0.47  right_branch(15), 
% 0.18/0.47  lemmata(0, 7), 
% 0.18/0.47  right_branch(9), 
% 0.18/0.47  left_branch(0, 11, 1, 10), 
% 0.18/0.47  left_branch(0, 10, 0, 11), 
% 0.18/0.47  right_branch(11), 
% 0.18/0.47  right_branch(10), 
% 0.18/0.47  right_branch(3), 
% 0.18/0.47  left_branch(0, 12, 2, 4), 
% 0.18/0.47  left_branch(0, 7, 1, 5), 
% 0.18/0.47  left_branch(0, 2, 0, 6), 
% 0.18/0.47  right_branch(6), 
% 0.18/0.47  right_branch(5), 
% 0.18/0.47  left_branch(0, 24, 1, 6), 
% 0.18/0.47  left_branch(0, 4, 0, 7), 
% 0.18/0.47  right_branch(7), 
% 0.18/0.47  right_branch(6), 
% 0.18/0.47  left_branch(0, 23, 1, 7), 
% 0.18/0.47  left_branch(0, 4, 0, 8), 
% 0.18/0.47  right_branch(8), 
% 0.18/0.47  right_branch(7), 
% 0.18/0.47  left_branch(0, 13, 2, 8), 
% 0.18/0.47  left_branch(0, 2, 0, 9), 
% 0.18/0.47  right_branch(9), 
% 0.18/0.47  left_branch(0, 4, 0, 10), 
% 0.18/0.47  right_branch(10), 
% 0.18/0.47  right_branch(8), 
% 0.18/0.47  left_branch(0, 9, 1, 9), 
% 0.18/0.47  left_branch(0, 4, 0, 10), 
% 0.18/0.47  right_branch(10), 
% 0.18/0.47  right_branch(9), 
% 0.18/0.47  left_branch(0, 20, 2, 10), 
% 0.18/0.47  left_branch(0, 2, 0, 11), 
% 0.18/0.47  right_branch(11), 
% 0.18/0.47  left_branch(0, 4, 0, 12), 
% 0.18/0.47  right_branch(12), 
% 0.18/0.47  right_branch(10), 
% 0.18/0.47  left_branch(0, 11, 1, 11), 
% 0.18/0.47  left_branch(0, 10, 0, 12), 
% 0.18/0.47  right_branch(12), 
% 0.18/0.47  right_branch(11), 
% 0.18/0.47  right_branch(4), 
% 0.18/0.47  left_branch(0, 10, 0, 5), 
% 0.18/0.47  right_branch(5), 
% 0.18/0.47  left_branch(0, 7, 1, 6), 
% 0.18/0.47  left_branch(0, 2, 0, 7), 
% 0.18/0.47  right_branch(7), 
% 0.18/0.47  right_branch(6)
% 0.18/0.47  )).
% 0.18/0.47  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------