TSTP Solution File: NUM428+3 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM428+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n021.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 09:40:55 EDT 2022

% Result   : Theorem 4.16s 0.92s
% Output   : CNFRefutation 4.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM428+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Fri Jul  8 00:45:35 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.38  # No SInE strategy applied
% 0.14/0.38  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 0.14/0.38  # and selection function SelectCQArNTNpEqFirst.
% 0.14/0.38  #
% 0.14/0.38  # Presaturation interreduction done
% 0.14/0.38  # Number of axioms: 47 Number of unprocessed: 47
% 0.14/0.38  # Tableaux proof search.
% 0.14/0.38  # APR header successfully linked.
% 0.14/0.38  # Hello from C++
% 0.14/0.38  # The folding up rule is enabled...
% 0.14/0.38  # Local unification is enabled...
% 0.14/0.38  # Any saturation attempts will use folding labels...
% 0.14/0.38  # 47 beginning clauses after preprocessing and clausification
% 0.14/0.38  # Creating start rules for all 11 conjectures.
% 0.14/0.38  # There are 11 start rule candidates:
% 0.14/0.38  # Found 17 unit axioms.
% 0.14/0.38  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.14/0.38  # 11 start rule tableaux created.
% 0.14/0.38  # 30 extension rule candidate clauses
% 0.14/0.38  # 17 unit axiom clauses
% 0.14/0.38  
% 0.14/0.38  # Requested 8, 32 cores available to the main process.
% 4.16/0.92  # There were 2 total branch saturation attempts.
% 4.16/0.92  # There were 0 of these attempts blocked.
% 4.16/0.92  # There were 0 deferred branch saturation attempts.
% 4.16/0.92  # There were 0 free duplicated saturations.
% 4.16/0.92  # There were 2 total successful branch saturations.
% 4.16/0.92  # There were 0 successful branch saturations in interreduction.
% 4.16/0.92  # There were 0 successful branch saturations on the branch.
% 4.16/0.92  # There were 2 successful branch saturations after the branch.
% 4.16/0.92  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.16/0.92  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.16/0.92  # Begin clausification derivation
% 4.16/0.92  
% 4.16/0.92  # End clausification derivation
% 4.16/0.92  # Begin listing active clauses obtained from FOF to CNF conversion
% 4.16/0.92  cnf(i_0_37, hypothesis, (aInteger0(xa))).
% 4.16/0.92  cnf(i_0_36, hypothesis, (aInteger0(xb))).
% 4.16/0.92  cnf(i_0_35, hypothesis, (aInteger0(xq))).
% 4.16/0.92  cnf(i_0_33, hypothesis, (aInteger0(xc))).
% 4.16/0.92  cnf(i_0_2, plain, (aInteger0(sz00))).
% 4.16/0.92  cnf(i_0_48, negated_conjecture, (aInteger0(esk2_0))).
% 4.16/0.92  cnf(i_0_3, plain, (aInteger0(sz10))).
% 4.16/0.92  cnf(i_0_44, negated_conjecture, (aInteger0(esk3_0))).
% 4.16/0.92  cnf(i_0_45, negated_conjecture, (sdteqdtlpzmzozddtrp0(xa,xb,xq))).
% 4.16/0.92  cnf(i_0_41, negated_conjecture, (sdteqdtlpzmzozddtrp0(xb,xc,xq))).
% 4.16/0.92  cnf(i_0_47, negated_conjecture, (sdtpldt0(xa,smndt0(xb))=sdtasdt0(xq,esk2_0))).
% 4.16/0.92  cnf(i_0_43, negated_conjecture, (sdtpldt0(xb,smndt0(xc))=sdtasdt0(xq,esk3_0))).
% 4.16/0.92  cnf(i_0_46, negated_conjecture, (aDivisorOf0(xq,sdtasdt0(xq,esk2_0)))).
% 4.16/0.92  cnf(i_0_42, negated_conjecture, (aDivisorOf0(xq,sdtasdt0(xq,esk3_0)))).
% 4.16/0.92  cnf(i_0_34, hypothesis, (xq!=sz00)).
% 4.16/0.92  cnf(i_0_38, negated_conjecture, (~sdteqdtlpzmzozddtrp0(xa,xc,xq))).
% 4.16/0.92  cnf(i_0_39, negated_conjecture, (~aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc))))).
% 4.16/0.92  cnf(i_0_27, plain, (~aDivisorOf0(sz00,X1)|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_28, plain, (aInteger0(X1)|~aDivisorOf0(X1,X2)|~aInteger0(X2))).
% 4.16/0.92  cnf(i_0_4, plain, (aInteger0(smndt0(X1))|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_9, plain, (sdtpldt0(sz00,X1)=X1|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_15, plain, (sdtasdt0(sz10,X1)=X1|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_40, negated_conjecture, (sdtasdt0(xq,X1)!=sdtpldt0(xa,smndt0(xc))|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_19, plain, (sdtasdt0(sz00,X1)=sz00|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_20, plain, (sdtasdt0(X1,sz00)=sz00|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_10, plain, (sdtpldt0(X1,sz00)=X1|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_16, plain, (sdtasdt0(X1,sz10)=X1|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_11, plain, (sdtpldt0(smndt0(X1),X1)=sz00|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_5, plain, (aInteger0(sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_6, plain, (aInteger0(sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_26, plain, (aInteger0(esk1_2(X1,X2))|~aDivisorOf0(X2,X1)|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_12, plain, (sdtpldt0(X1,smndt0(X1))=sz00|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_21, plain, (sdtasdt0(X1,smndt0(sz10))=smndt0(X1)|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_22, plain, (sdtasdt0(smndt0(sz10),X1)=smndt0(X1)|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_8, plain, (sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_14, plain, (sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_31, plain, (X1=sz00|sdteqdtlpzmzozddtrp0(X2,X2,X1)|~aInteger0(X1)|~aInteger0(X2))).
% 4.16/0.92  cnf(i_0_23, plain, (X1=sz00|X2=sz00|sdtasdt0(X1,X2)!=sz00|~aInteger0(X2)|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_25, plain, (sdtasdt0(X1,esk1_2(X2,X1))=X2|~aDivisorOf0(X1,X2)|~aInteger0(X2))).
% 4.16/0.92  cnf(i_0_29, plain, (X1=sz00|sdteqdtlpzmzozddtrp0(X2,X3,X1)|~aDivisorOf0(X1,sdtpldt0(X2,smndt0(X3)))|~aInteger0(X3)|~aInteger0(X2)|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_32, plain, (X1=sz00|sdteqdtlpzmzozddtrp0(X2,X3,X1)|~sdteqdtlpzmzozddtrp0(X3,X2,X1)|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3))).
% 4.16/0.92  cnf(i_0_24, plain, (X1=sz00|aDivisorOf0(X1,sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_7, plain, (sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aInteger0(X3)|~aInteger0(X2)|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_13, plain, (sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aInteger0(X3)|~aInteger0(X2)|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_30, plain, (X1=sz00|aDivisorOf0(X1,sdtpldt0(X2,smndt0(X3)))|~sdteqdtlpzmzozddtrp0(X2,X3,X1)|~aInteger0(X1)|~aInteger0(X3)|~aInteger0(X2))).
% 4.16/0.92  cnf(i_0_18, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))=sdtasdt0(X1,sdtpldt0(X2,X3))|~aInteger0(X3)|~aInteger0(X2)|~aInteger0(X1))).
% 4.16/0.92  cnf(i_0_17, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))=sdtasdt0(sdtpldt0(X1,X3),X2)|~aInteger0(X2)|~aInteger0(X3)|~aInteger0(X1))).
% 4.16/0.92  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 4.16/0.92  # Begin printing tableau
% 4.16/0.92  # Found 9 steps
% 4.16/0.92  cnf(i_0_45, negated_conjecture, (sdteqdtlpzmzozddtrp0(xa,xb,xq)), inference(start_rule)).
% 4.16/0.92  cnf(i_0_60, plain, (sdteqdtlpzmzozddtrp0(xa,xb,xq)), inference(extension_rule, [i_0_30])).
% 4.16/0.92  cnf(i_0_765, plain, (xq=sz00), inference(closure_rule, [i_0_34])).
% 4.16/0.92  cnf(i_0_768, plain, (~aInteger0(xq)), inference(closure_rule, [i_0_35])).
% 4.16/0.92  cnf(i_0_769, plain, (~aInteger0(xb)), inference(closure_rule, [i_0_36])).
% 4.16/0.92  cnf(i_0_770, plain, (~aInteger0(xa)), inference(closure_rule, [i_0_37])).
% 4.16/0.92  cnf(i_0_766, plain, (aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))), inference(extension_rule, [i_0_26])).
% 4.16/0.92  cnf(i_0_798, plain, (aInteger0(esk1_2(sdtpldt0(xa,smndt0(xb)),xq))), inference(etableau_closure_rule, [i_0_798, ...])).
% 4.16/0.92  cnf(i_0_800, plain, (~aInteger0(sdtpldt0(xa,smndt0(xb)))), inference(etableau_closure_rule, [i_0_800, ...])).
% 4.16/0.92  # End printing tableau
% 4.16/0.92  # SZS output end
% 4.16/0.92  # Branches closed with saturation will be marked with an "s"
% 4.40/0.93  # Child (20377) has found a proof.
% 4.40/0.93  
% 4.40/0.93  # Proof search is over...
% 4.40/0.93  # Freeing feature tree
%------------------------------------------------------------------------------