TSTP Solution File: ROB015-10 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : ROB015-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n022.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 : Mon Jul 18 20:52:04 EDT 2022

% Result   : Unsatisfiable 27.81s 3.87s
% Output   : CNFRefutation 27.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : ROB015-10 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 14:05:19 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  # No SInE strategy applied
% 0.12/0.36  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.36  #
% 0.12/0.36  # Presaturation interreduction done
% 0.12/0.36  # Number of axioms: 18 Number of unprocessed: 18
% 0.12/0.36  # Tableaux proof search.
% 0.12/0.36  # APR header successfully linked.
% 0.12/0.36  # Hello from C++
% 0.12/0.36  # The folding up rule is enabled...
% 0.12/0.36  # Local unification is enabled...
% 0.12/0.36  # Any saturation attempts will use folding labels...
% 0.12/0.36  # 18 beginning clauses after preprocessing and clausification
% 0.12/0.36  # Creating start rules for all 2 conjectures.
% 0.12/0.36  # There are 2 start rule candidates:
% 0.12/0.36  # Found 18 unit axioms.
% 0.12/0.36  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.36  # 2 start rule tableaux created.
% 0.12/0.36  # 0 extension rule candidate clauses
% 0.12/0.36  # 18 unit axiom clauses
% 0.12/0.36  
% 0.12/0.36  # Requested 8, 32 cores available to the main process.
% 0.12/0.36  # There are not enough tableaux to fork, creating more from the initial 2
% 0.12/0.36  # Creating equality axioms
% 0.12/0.36  # Ran out of tableaux, making start rules for all clauses
% 0.12/0.36  # Returning from population with 43 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.36  # We now have 43 tableaux to operate on
% 27.81/3.87  # There were 1 total branch saturation attempts.
% 27.81/3.87  # There were 0 of these attempts blocked.
% 27.81/3.87  # There were 0 deferred branch saturation attempts.
% 27.81/3.87  # There were 0 free duplicated saturations.
% 27.81/3.87  # There were 1 total successful branch saturations.
% 27.81/3.87  # There were 0 successful branch saturations in interreduction.
% 27.81/3.87  # There were 0 successful branch saturations on the branch.
% 27.81/3.87  # There were 1 successful branch saturations after the branch.
% 27.81/3.87  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.81/3.87  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.81/3.87  # Begin clausification derivation
% 27.81/3.87  
% 27.81/3.87  # End clausification derivation
% 27.81/3.87  # Begin listing active clauses obtained from FOF to CNF conversion
% 27.81/3.87  cnf(i_0_32, hypothesis, (negate(add(negate(e),negate(add(d,negate(e)))))=d)).
% 27.81/3.87  cnf(i_0_33, plain, (positive_integer(k)=true)).
% 27.81/3.87  cnf(i_0_34, plain, (ifeq3(negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))),negate(e),a,b)=b)).
% 27.81/3.87  cnf(i_0_35, negated_conjecture, (ifeq3(negate(add(e,multiply(successor(k),add(d,negate(add(d,negate(e))))))),negate(e),a,b)=b)).
% 27.81/3.87  cnf(i_0_28, plain, (positive_integer(one)=true)).
% 27.81/3.87  cnf(i_0_26, plain, (multiply(one,X1)=X1)).
% 27.81/3.87  cnf(i_0_19, plain, (ifeq4(X1,X1,X2,X3)=X2)).
% 27.81/3.87  cnf(i_0_20, plain, (ifeq3(X1,X1,X2,X3)=X2)).
% 27.81/3.87  cnf(i_0_21, plain, (ifeq2(X1,X1,X2,X3)=X2)).
% 27.81/3.87  cnf(i_0_22, plain, (ifeq(X1,X1,X2,X3)=X2)).
% 27.81/3.87  cnf(i_0_24, plain, (add(add(X1,X2),X3)=add(X1,add(X2,X3)))).
% 27.81/3.87  cnf(i_0_25, plain, (negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2)))))=X1)).
% 27.81/3.87  cnf(i_0_29, plain, (ifeq(positive_integer(X1),true,positive_integer(successor(X1)),true)=true)).
% 27.81/3.87  cnf(i_0_30, plain, (ifeq4(negate(add(X1,negate(add(X2,X3)))),negate(add(X2,negate(add(X1,X3)))),X1,X2)=X2)).
% 27.81/3.87  cnf(i_0_27, plain, (ifeq2(positive_integer(X1),true,add(X1,multiply(X2,X1)),multiply(successor(X2),X1))=multiply(successor(X2),X1))).
% 27.81/3.87  cnf(i_0_31, plain, (ifeq2(positive_integer(X1),true,ifeq4(negate(add(X2,negate(X3))),X4,negate(add(X2,negate(add(X3,multiply(X1,add(X2,X4)))))),X4),X4)=X4)).
% 27.81/3.87  cnf(i_0_23, plain, (add(X1,X2)=add(X2,X1))).
% 27.81/3.87  cnf(i_0_36, negated_conjecture, (a!=b)).
% 27.81/3.87  cnf(i_0_39, plain, (X5=X5)).
% 27.81/3.87  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 27.81/3.87  # Begin printing tableau
% 27.81/3.87  # Found 5 steps
% 27.81/3.87  cnf(i_0_32, hypothesis, (negate(add(negate(e),negate(add(d,negate(e)))))=d), inference(start_rule)).
% 27.81/3.87  cnf(i_0_52, plain, (negate(add(negate(e),negate(add(d,negate(e)))))=d), inference(extension_rule, [i_0_48])).
% 27.81/3.87  cnf(i_0_101, plain, (negate(negate(add(negate(e),negate(add(d,negate(e))))))=negate(d)), inference(extension_rule, [i_0_42])).
% 27.81/3.87  cnf(i_0_116, plain, (negate(d)!=multiply(one,negate(d))), inference(closure_rule, [i_0_26])).
% 27.81/3.87  cnf(i_0_114, plain, (negate(negate(add(negate(e),negate(add(d,negate(e))))))=multiply(one,negate(d))), inference(etableau_closure_rule, [i_0_114, ...])).
% 27.81/3.87  # End printing tableau
% 27.81/3.87  # SZS output end
% 27.81/3.87  # Branches closed with saturation will be marked with an "s"
% 27.81/3.89  # There were 1 total branch saturation attempts.
% 27.81/3.89  # There were 0 of these attempts blocked.
% 27.81/3.89  # There were 0 deferred branch saturation attempts.
% 27.81/3.89  # There were 0 free duplicated saturations.
% 27.81/3.89  # There were 1 total successful branch saturations.
% 27.81/3.89  # There were 0 successful branch saturations in interreduction.
% 27.81/3.89  # There were 0 successful branch saturations on the branch.
% 27.81/3.89  # There were 1 successful branch saturations after the branch.
% 27.81/3.89  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.81/3.89  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.81/3.89  # Begin clausification derivation
% 27.81/3.89  
% 27.81/3.89  # End clausification derivation
% 27.81/3.89  # Begin listing active clauses obtained from FOF to CNF conversion
% 27.81/3.89  cnf(i_0_32, hypothesis, (negate(add(negate(e),negate(add(d,negate(e)))))=d)).
% 27.81/3.89  cnf(i_0_33, plain, (positive_integer(k)=true)).
% 27.81/3.89  cnf(i_0_34, plain, (ifeq3(negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))),negate(e),a,b)=b)).
% 27.81/3.89  cnf(i_0_35, negated_conjecture, (ifeq3(negate(add(e,multiply(successor(k),add(d,negate(add(d,negate(e))))))),negate(e),a,b)=b)).
% 27.81/3.89  cnf(i_0_28, plain, (positive_integer(one)=true)).
% 27.81/3.89  cnf(i_0_26, plain, (multiply(one,X1)=X1)).
% 27.81/3.89  cnf(i_0_19, plain, (ifeq4(X1,X1,X2,X3)=X2)).
% 27.81/3.89  cnf(i_0_20, plain, (ifeq3(X1,X1,X2,X3)=X2)).
% 27.81/3.89  cnf(i_0_21, plain, (ifeq2(X1,X1,X2,X3)=X2)).
% 27.81/3.89  cnf(i_0_22, plain, (ifeq(X1,X1,X2,X3)=X2)).
% 27.81/3.89  cnf(i_0_24, plain, (add(add(X1,X2),X3)=add(X1,add(X2,X3)))).
% 27.81/3.89  cnf(i_0_25, plain, (negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2)))))=X1)).
% 27.81/3.89  cnf(i_0_29, plain, (ifeq(positive_integer(X1),true,positive_integer(successor(X1)),true)=true)).
% 27.81/3.89  cnf(i_0_30, plain, (ifeq4(negate(add(X1,negate(add(X2,X3)))),negate(add(X2,negate(add(X1,X3)))),X1,X2)=X2)).
% 27.81/3.89  cnf(i_0_27, plain, (ifeq2(positive_integer(X1),true,add(X1,multiply(X2,X1)),multiply(successor(X2),X1))=multiply(successor(X2),X1))).
% 27.81/3.89  cnf(i_0_31, plain, (ifeq2(positive_integer(X1),true,ifeq4(negate(add(X2,negate(X3))),X4,negate(add(X2,negate(add(X3,multiply(X1,add(X2,X4)))))),X4),X4)=X4)).
% 27.81/3.89  cnf(i_0_23, plain, (add(X1,X2)=add(X2,X1))).
% 27.81/3.89  cnf(i_0_36, negated_conjecture, (a!=b)).
% 27.81/3.89  cnf(i_0_39, plain, (X5=X5)).
% 27.81/3.89  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 27.81/3.89  # Begin printing tableau
% 27.81/3.89  # Found 6 steps
% 27.81/3.89  cnf(i_0_32, hypothesis, (negate(add(negate(e),negate(add(d,negate(e)))))=d), inference(start_rule)).
% 27.81/3.89  cnf(i_0_52, plain, (negate(add(negate(e),negate(add(d,negate(e)))))=d), inference(extension_rule, [i_0_49])).
% 27.81/3.89  cnf(i_0_104, plain, (negate(add(negate(e),negate(add(d,negate(e)))))!=d), inference(closure_rule, [i_0_32])).
% 27.81/3.89  cnf(i_0_103, plain, (multiply(negate(add(negate(e),negate(add(d,negate(e))))),negate(add(negate(e),negate(add(d,negate(e))))))=multiply(d,d)), inference(extension_rule, [i_0_42])).
% 27.81/3.89  cnf(i_0_116, plain, (multiply(d,d)!=multiply(one,multiply(d,d))), inference(closure_rule, [i_0_26])).
% 27.81/3.89  cnf(i_0_114, plain, (multiply(negate(add(negate(e),negate(add(d,negate(e))))),negate(add(negate(e),negate(add(d,negate(e))))))=multiply(one,multiply(d,d))), inference(etableau_closure_rule, [i_0_114, ...])).
% 27.81/3.89  # End printing tableau
% 27.81/3.89  # SZS output end
% 27.81/3.89  # Branches closed with saturation will be marked with an "s"
% 27.81/3.89  # Child (32106) has found a proof.
% 27.81/3.89  
% 27.81/3.89  # Proof search is over...
% 27.81/3.89  # Freeing feature tree
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