TSTP Solution File: BOO017-10 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : BOO017-10 : 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 : n025.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 : Thu Jul 14 23:38:27 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : BOO017-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun  1 21:32:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.37  # No SInE strategy applied
% 0.13/0.37  # Auto-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_PS_S0Y
% 0.13/0.37  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.13/0.37  #
% 0.13/0.37  # Presaturation interreduction done
% 0.13/0.37  # Number of axioms: 26 Number of unprocessed: 26
% 0.13/0.37  # Tableaux proof search.
% 0.13/0.37  # APR header successfully linked.
% 0.13/0.37  # Hello from C++
% 0.13/0.37  # The folding up rule is enabled...
% 0.13/0.37  # Local unification is enabled...
% 0.13/0.37  # Any saturation attempts will use folding labels...
% 0.13/0.37  # 26 beginning clauses after preprocessing and clausification
% 0.13/0.37  # Creating start rules for all 1 conjectures.
% 0.13/0.37  # There are 1 start rule candidates:
% 0.13/0.37  # Found 26 unit axioms.
% 0.13/0.37  # 1 start rule tableaux created.
% 0.13/0.37  # 0 extension rule candidate clauses
% 0.13/0.37  # 26 unit axiom clauses
% 0.13/0.37  
% 0.13/0.37  # Requested 8, 32 cores available to the main process.
% 0.13/0.37  # There are not enough tableaux to fork, creating more from the initial 1
% 0.13/0.37  # Creating equality axioms
% 0.13/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.37  # Returning from population with 47 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.37  # We now have 47 tableaux to operate on
% 0.19/0.51  # There were 1 total branch saturation attempts.
% 0.19/0.51  # There were 0 of these attempts blocked.
% 0.19/0.51  # There were 0 deferred branch saturation attempts.
% 0.19/0.51  # There were 0 free duplicated saturations.
% 0.19/0.51  # There were 1 total successful branch saturations.
% 0.19/0.51  # There were 0 successful branch saturations in interreduction.
% 0.19/0.51  # There were 0 successful branch saturations on the branch.
% 0.19/0.51  # There were 1 successful branch saturations after the branch.
% 0.19/0.51  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  # Begin clausification derivation
% 0.19/0.51  
% 0.19/0.51  # End clausification derivation
% 0.19/0.51  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.51  cnf(i_0_51, hypothesis, (sum(x,y,z)=true)).
% 0.19/0.51  cnf(i_0_34, plain, (sum(X1,additive_identity,X1)=true)).
% 0.19/0.51  cnf(i_0_36, plain, (product(X1,multiplicative_identity,X1)=true)).
% 0.19/0.51  cnf(i_0_33, plain, (sum(additive_identity,X1,X1)=true)).
% 0.19/0.51  cnf(i_0_35, plain, (product(multiplicative_identity,X1,X1)=true)).
% 0.19/0.51  cnf(i_0_46, plain, (sum(X1,inverse(X1),multiplicative_identity)=true)).
% 0.19/0.51  cnf(i_0_48, plain, (product(X1,inverse(X1),additive_identity)=true)).
% 0.19/0.51  cnf(i_0_45, plain, (sum(inverse(X1),X1,multiplicative_identity)=true)).
% 0.19/0.51  cnf(i_0_47, plain, (product(inverse(X1),X1,additive_identity)=true)).
% 0.19/0.51  cnf(i_0_27, plain, (ifeq2(X1,X1,X2,X3)=X2)).
% 0.19/0.51  cnf(i_0_28, plain, (ifeq(X1,X1,X2,X3)=X2)).
% 0.19/0.51  cnf(i_0_29, plain, (sum(X1,X2,add(X1,X2))=true)).
% 0.19/0.51  cnf(i_0_30, plain, (product(X1,X2,multiply(X1,X2))=true)).
% 0.19/0.51  cnf(i_0_32, plain, (ifeq(product(X1,X2,X3),true,product(X2,X1,X3),true)=true)).
% 0.19/0.51  cnf(i_0_31, plain, (ifeq(sum(X1,X2,X3),true,sum(X2,X1,X3),true)=true)).
% 0.19/0.51  cnf(i_0_49, plain, (ifeq2(sum(X1,X2,X3),true,ifeq2(sum(X1,X2,X4),true,X4,X3),X3)=X3)).
% 0.19/0.51  cnf(i_0_50, plain, (ifeq2(product(X1,X2,X3),true,ifeq2(product(X1,X2,X4),true,X4,X3),X3)=X3)).
% 0.19/0.51  cnf(i_0_41, plain, (ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X3,X5),true,ifeq(sum(X4,X2,X6),true,ifeq(sum(X4,X1,X7),true,product(X7,X6,X5),true),true),true),true)=true)).
% 0.19/0.51  cnf(i_0_43, plain, (ifeq(product(X1,X2,X3),true,ifeq(sum(X3,X4,X5),true,ifeq(sum(X2,X4,X6),true,ifeq(sum(X1,X4,X7),true,product(X7,X6,X5),true),true),true),true)=true)).
% 0.19/0.51  cnf(i_0_42, plain, (ifeq(product(X1,X2,X3),true,ifeq(product(X4,X5,X6),true,ifeq(sum(X7,X5,X2),true,ifeq(sum(X7,X4,X1),true,sum(X7,X6,X3),true),true),true),true)=true)).
% 0.19/0.51  cnf(i_0_44, plain, (ifeq(product(X1,X2,X3),true,ifeq(product(X4,X5,X6),true,ifeq(sum(X5,X7,X2),true,ifeq(sum(X4,X7,X1),true,sum(X6,X7,X3),true),true),true),true)=true)).
% 0.19/0.51  cnf(i_0_40, plain, (ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(sum(X5,X3,X6),true,ifeq(sum(X4,X1,X7),true,product(X7,X2,X6),true),true),true),true)=true)).
% 0.19/0.51  cnf(i_0_39, plain, (ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X2,X7),true,ifeq(sum(X6,X4,X1),true,sum(X7,X5,X3),true),true),true),true)=true)).
% 0.19/0.51  cnf(i_0_38, plain, (ifeq(product(X1,X2,X3),true,ifeq(product(X1,X4,X5),true,ifeq(sum(X5,X3,X6),true,ifeq(sum(X4,X2,X7),true,product(X1,X7,X6),true),true),true),true)=true)).
% 0.19/0.51  cnf(i_0_37, plain, (ifeq(product(X1,X2,X3),true,ifeq(product(X1,X4,X5),true,ifeq(product(X1,X6,X7),true,ifeq(sum(X6,X4,X2),true,sum(X7,X5,X3),true),true),true),true)=true)).
% 0.19/0.51  cnf(i_0_52, negated_conjecture, (product(x,z,x)!=true)).
% 0.19/0.51  cnf(i_0_54, plain, (X8=X8)).
% 0.19/0.51  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.51  # Begin printing tableau
% 0.19/0.51  # Found 9 steps
% 0.19/0.51  cnf(i_0_51, hypothesis, (sum(x,y,z)=true), inference(start_rule)).
% 0.19/0.51  cnf(i_0_65, plain, (sum(x,y,z)=true), inference(extension_rule, [i_0_61])).
% 0.19/0.51  cnf(i_0_113, plain, (sum(x,y,z)!=true), inference(closure_rule, [i_0_51])).
% 0.19/0.51  cnf(i_0_115, plain, (sum(x,y,z)!=true), inference(closure_rule, [i_0_51])).
% 0.19/0.51  cnf(i_0_112, plain, (sum(sum(x,y,z),sum(x,y,z),sum(x,y,z))=sum(true,true,true)), inference(extension_rule, [i_0_58])).
% 0.19/0.51  cnf(i_0_248, plain, (sum(x,y,z)!=true), inference(closure_rule, [i_0_51])).
% 0.19/0.51  cnf(i_0_249, plain, (sum(x,y,z)!=true), inference(closure_rule, [i_0_51])).
% 0.19/0.51  cnf(i_0_250, plain, (sum(x,y,z)!=true), inference(closure_rule, [i_0_51])).
% 0.19/0.51  cnf(i_0_246, plain, (ifeq2(sum(sum(x,y,z),sum(x,y,z),sum(x,y,z)),sum(x,y,z),sum(x,y,z),sum(x,y,z))=ifeq2(sum(true,true,true),true,true,true)), inference(etableau_closure_rule, [i_0_246, ...])).
% 0.19/0.51  # End printing tableau
% 0.19/0.51  # SZS output end
% 0.19/0.51  # Branches closed with saturation will be marked with an "s"
% 0.19/0.51  # Child (24271) has found a proof.
% 0.19/0.51  
% 0.19/0.52  # Proof search is over...
% 0.19/0.52  # Freeing feature tree
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