TSTP Solution File: ROB012-2 by Mace4---1109a
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%------------------------------------------------------------------------------
% File : Mace4---1109a
% Problem : ROB012-2 : TPTP v6.4.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -t %d -f %s
% Computer : n031.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.75MB
% OS : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 8 10:02:22 EST 2017
% Result : Satisfiable 8.42s
% Output : FiniteModel 8.42s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB012-2 : TPTP v6.4.0. Bugfixed v1.2.0.
% 0.00/0.04 % Command : mace4 -t %d -f %s
% 0.03/0.22 % Computer : n031.star.cs.uiowa.edu
% 0.03/0.22 % Model : x86_64 x86_64
% 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22 % Memory : 32218.75MB
% 0.03/0.22 % OS : Linux 3.10.0-327.36.3.el7.x86_64
% 0.03/0.22 % CPULimit : 300
% 0.03/0.22 % DateTime : Tue Feb 7 21:37:30 CST 2017
% 0.03/0.23 % CPUTime :
% 8.42/8.62 % SZS status Satisfiable
% 8.42/8.62 ============================== Mace4 =================================
% 8.42/8.62 Mace4 (32) version 2009-11A, November 2009.
% 8.42/8.62 Process 24024 was started by sandbox on n031.star.cs.uiowa.edu,
% 8.42/8.62 Tue Feb 7 21:37:31 2017
% 8.42/8.62 The command was "/export/starexec/sandbox/solver/bin/mace4 -t 300 -f /tmp/Mace4_input_23991_n031.star.cs.uiowa.edu".
% 8.42/8.62 ============================== end of head ===========================
% 8.42/8.62
% 8.42/8.62 ============================== INPUT =================================
% 8.42/8.62
% 8.42/8.62 % Reading from file /tmp/Mace4_input_23991_n031.star.cs.uiowa.edu
% 8.42/8.62
% 8.42/8.62 set(prolog_style_variables).
% 8.42/8.62 set(print_models_tabular).
% 8.42/8.62 % set(print_models_tabular) -> clear(print_models).
% 8.42/8.62
% 8.42/8.62 formulas(sos).
% 8.42/8.62 add(X,Y) = add(Y,X) # label(commutativity_of_add) # label(axiom).
% 8.42/8.62 add(add(X,Y),Z) = add(X,add(Y,Z)) # label(associativity_of_add) # label(axiom).
% 8.42/8.62 negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X # label(robbins_axiom) # label(axiom).
% 8.42/8.62 multiply(one,X) = X # label(one_times_x) # label(axiom).
% 8.42/8.62 -positive_integer(X) | multiply(successor(V),X) = add(X,multiply(V,X)) # label(times_by_adding) # label(axiom).
% 8.42/8.62 positive_integer(one) # label(one) # label(axiom).
% 8.42/8.62 -positive_integer(X) | positive_integer(successor(X)) # label(next_integer) # label(axiom).
% 8.42/8.62 negate(add(X,negate(Y))) != Z | negate(add(Z,negate(add(Y,X)))) = X # label(lemma_3_3) # label(axiom).
% 8.42/8.62 negate(add(a,negate(b))) = c # label(condition) # label(hypothesis).
% 8.42/8.62 positive_integer(k) # label(k_an_integer) # label(hypothesis).
% 8.42/8.62 negate(add(a,negate(add(b,multiply(k,add(a,c)))))) = c # label(base_step) # label(axiom).
% 8.42/8.62 negate(add(a,negate(add(b,multiply(successor(k),add(a,c)))))) != c # label(prove_induction_step) # label(negated_conjecture).
% 8.42/8.62 end_of_list.
% 8.42/8.62
% 8.42/8.62 % From the command line: assign(max_seconds, 300).
% 8.42/8.62
% 8.42/8.62 ============================== end of input ==========================
% 8.42/8.62
% 8.42/8.62 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 8.42/8.62
% 8.42/8.62 % Formulas that are not ordinary clauses:
% 8.42/8.62
% 8.42/8.62 ============================== end of process non-clausal formulas ===
% 8.42/8.62
% 8.42/8.62 ============================== CLAUSES FOR SEARCH ====================
% 8.42/8.62
% 8.42/8.62 formulas(mace4_clauses).
% 8.42/8.62 add(A,B) = add(B,A) # label(commutativity_of_add) # label(axiom).
% 8.42/8.62 add(add(A,B),C) = add(A,add(B,C)) # label(associativity_of_add) # label(axiom).
% 8.42/8.62 negate(add(negate(add(A,B)),negate(add(A,negate(B))))) = A # label(robbins_axiom) # label(axiom).
% 8.42/8.62 multiply(one,A) = A # label(one_times_x) # label(axiom).
% 8.42/8.62 -positive_integer(A) | multiply(successor(B),A) = add(A,multiply(B,A)) # label(times_by_adding) # label(axiom).
% 8.42/8.62 positive_integer(one) # label(one) # label(axiom).
% 8.42/8.62 -positive_integer(A) | positive_integer(successor(A)) # label(next_integer) # label(axiom).
% 8.42/8.62 negate(add(A,negate(B))) != C | negate(add(C,negate(add(B,A)))) = A # label(lemma_3_3) # label(axiom).
% 8.42/8.62 negate(add(a,negate(b))) = c # label(condition) # label(hypothesis).
% 8.42/8.62 positive_integer(k) # label(k_an_integer) # label(hypothesis).
% 8.42/8.62 negate(add(a,negate(add(b,multiply(k,add(a,c)))))) = c # label(base_step) # label(axiom).
% 8.42/8.62 negate(add(a,negate(add(b,multiply(successor(k),add(a,c)))))) != c # label(prove_induction_step) # label(negated_conjecture).
% 8.42/8.62 end_of_list.
% 8.42/8.62
% 8.42/8.62 ============================== end of clauses for search =============
% 8.42/8.62 % SZS output start FiniteModel
% 8.42/8.62
% 8.42/8.62 % There are no natural numbers in the input.
% 8.42/8.62
% 8.42/8.62 a : 0
% 8.42/8.62
% 8.42/8.62 b : 0
% 8.42/8.62
% 8.42/8.62 c : 0
% 8.42/8.62
% 8.42/8.62 k : 1
% 8.42/8.62
% 8.42/8.62 one : 1
% 8.42/8.62
% 8.42/8.62 negate :
% 8.42/8.62 0 1 2 3
% 8.42/8.62 -----------
% 8.42/8.62 1 0 3 2
% 8.42/8.62
% 8.42/8.62 successor :
% 8.42/8.62 0 1 2 3
% 8.42/8.62 -----------
% 8.42/8.62 0 2 1 0
% 8.42/8.62
% 8.42/8.62 add :
% 8.42/8.62 | 0 1 2 3
% 8.42/8.62 --+--------
% 8.42/8.62 0 | 0 1 2 3
% 8.42/8.62 1 | 1 1 1 1
% 8.42/8.62 2 | 2 1 2 1
% 8.42/8.62 3 | 3 1 1 3
% 8.42/8.62
% 8.42/8.62 multiply :
% 8.42/8.62 | 0 1 2 3
% 8.42/8.62 --+--------
% 8.42/8.62 0 | 0 1 1 0
% 8.42/8.62 1 | 0 1 2 3
% 8.42/8.62 2 | 1 1 2 0
% 8.42/8.62 3 | 0 0 1 0
% 8.42/8.62
% 8.42/8.62 positive_integer :
% 8.42/8.62 0 1 2 3
% 8.42/8.62 -----------
% 8.42/8.62 0 1 1 0
% 8.42/8.62
% 8.42/8.62 % SZS output end FiniteModel
% 8.42/8.62 ------ process 24024 exit (max_models) ------
% 8.42/8.62
% 8.42/8.62 User_CPU=7.80, System_CPU=0.41, Wall_clock=8.
% 8.42/8.62
% 8.42/8.62 Exiting with 1 model.
% 8.42/8.62
% 8.42/8.62 Process 24024 exit (max_models) Tue Feb 7 21:37:39 2017
% 8.42/8.62 The process finished Tue Feb 7 21:37:39 2017
% 8.42/8.62 Mace4 ended
%------------------------------------------------------------------------------