TSTP Solution File: COL095-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : COL095-1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n020.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 : Fri Jul 15 00:24:52 EDT 2022

% Result   : Unsatisfiable 11.36s 1.78s
% Output   : CNFRefutation 11.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : COL095-1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12  % 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 : n020.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 : Tue May 31 04:03:08 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__C_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: 67 Number of unprocessed: 65
% 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  # 65 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 13 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  # 52 extension rule candidate clauses
% 0.12/0.36  # 13 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  # Returning from population with 15 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.36  # We now have 15 tableaux to operate on
% 11.36/1.78  # There were 2 total branch saturation attempts.
% 11.36/1.78  # There were 0 of these attempts blocked.
% 11.36/1.78  # There were 0 deferred branch saturation attempts.
% 11.36/1.78  # There were 0 free duplicated saturations.
% 11.36/1.78  # There were 2 total successful branch saturations.
% 11.36/1.78  # There were 0 successful branch saturations in interreduction.
% 11.36/1.78  # There were 0 successful branch saturations on the branch.
% 11.36/1.78  # There were 2 successful branch saturations after the branch.
% 11.36/1.78  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.36/1.78  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.36/1.78  # Begin clausification derivation
% 11.36/1.78  
% 11.36/1.78  # End clausification derivation
% 11.36/1.78  # Begin listing active clauses obtained from FOF to CNF conversion
% 11.36/1.78  cnf(i_0_135, negated_conjecture, (member(pair(comb_app(comb_app(combK,p),q),yp),parcontract))).
% 11.36/1.78  cnf(i_0_77, plain, (member(combK,comb))).
% 11.36/1.78  cnf(i_0_133, hypothesis, (member(p,comb))).
% 11.36/1.78  cnf(i_0_134, hypothesis, (member(q,comb))).
% 11.36/1.78  cnf(i_0_129, plain, (inl(eptset)=combK)).
% 11.36/1.78  cnf(i_0_78, plain, (member(combS,comb))).
% 11.36/1.78  cnf(i_0_130, plain, (inr(combK)=combS)).
% 11.36/1.78  cnf(i_0_131, plain, (inr(inr(pair(X1,X2)))=comb_app(X1,X2))).
% 11.36/1.78  cnf(i_0_69, plain, (combK!=combS)).
% 11.36/1.78  cnf(i_0_70, plain, (comb_app(X1,X2)!=combK)).
% 11.36/1.78  cnf(i_0_71, plain, (comb_app(X1,X2)!=combS)).
% 11.36/1.78  cnf(i_0_98, plain, (~member(pair(combK,X1),contract))).
% 11.36/1.78  cnf(i_0_99, plain, (~member(pair(combS,X1),contract))).
% 11.36/1.78  cnf(i_0_136, negated_conjecture, (~member(pair(p,X1),parcontract)|~member(pair(yp,X1),parcontract))).
% 11.36/1.78  cnf(i_0_105, plain, (X1=combK|~member(pair(combK,X1),parcontract))).
% 11.36/1.78  cnf(i_0_107, plain, (X1=combS|~member(pair(combS,X1),parcontract))).
% 11.36/1.78  cnf(i_0_84, plain, (member(X1,comb)|~ap_contractE_c1(X2,X3,X1))).
% 11.36/1.78  cnf(i_0_111, plain, (member(X1,comb)|~ap_parcontractE_c2(X2,X3,X1))).
% 11.36/1.78  cnf(i_0_85, plain, (member(X1,comb)|~ap_contractE_c1(X2,X1,X3))).
% 11.36/1.78  cnf(i_0_89, plain, (member(X1,comb)|~ap_contractE_c2(X2,X1,X3))).
% 11.36/1.78  cnf(i_0_100, plain, (member(pair(X1,X1),parcontract)|~member(X1,comb))).
% 11.36/1.78  cnf(i_0_132, plain, (member(X1,comb)|~member(pair(X2,X1),parcontract))).
% 11.36/1.78  cnf(i_0_76, plain, (member(X1,comb)|~member(comb_app(X2,X1),comb))).
% 11.36/1.78  cnf(i_0_75, plain, (member(X1,comb)|~member(comb_app(X1,X2),comb))).
% 11.36/1.78  cnf(i_0_73, plain, (X1=X2|comb_app(X3,X1)!=comb_app(X4,X2))).
% 11.36/1.78  cnf(i_0_93, plain, (member(X1,comb)|~ap_contractE_c3(X2,X1,X3))).
% 11.36/1.78  cnf(i_0_112, plain, (member(X1,comb)|~ap_parcontractE_c2(X2,X1,X3))).
% 11.36/1.78  cnf(i_0_116, plain, (member(X1,comb)|~ap_parcontractE_c3(X2,X1,X3))).
% 11.36/1.78  cnf(i_0_96, plain, (member(X1,comb)|~ap_contractE_c4(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_72, plain, (X1=X2|comb_app(X1,X3)!=comb_app(X2,X4))).
% 11.36/1.78  cnf(i_0_86, plain, (X1=comb_app(combK,X2)|~ap_contractE_c1(X1,X3,X2))).
% 11.36/1.78  cnf(i_0_113, plain, (X1=comb_app(combK,X2)|~ap_parcontractE_c2(X1,X3,X2))).
% 11.36/1.78  cnf(i_0_110, plain, (X1=comb_app(X2,X3)|~ap_parcontractE_c1(X2,X3,X1))).
% 11.36/1.78  cnf(i_0_109, plain, (member(comb_app(X1,X2),comb)|~ap_parcontractE_c1(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_122, plain, (comb_app(combK,k1_parcontractD_sk1(X1,X2))=X2|~member(pair(comb_app(combK,X1),X2),parcontract))).
% 11.36/1.78  cnf(i_0_80, plain, (member(pair(X1,X1),rtrancl(contract))|~member(X1,comb))).
% 11.36/1.78  cnf(i_0_79, plain, (member(comb_app(X1,X2),comb)|~member(X2,comb)|~member(X1,comb))).
% 11.36/1.78  cnf(i_0_87, plain, (member(ap_contractE_sk1p(X1,X2,X3),comb)|~ap_contractE_c2(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_88, plain, (member(ap_contractE_sk1q(X1,X2,X3),comb)|~ap_contractE_c2(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_114, plain, (member(ap_parcontractE_sk1p(X1,X2,X3),comb)|~ap_parcontractE_c3(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_115, plain, (member(ap_parcontractE_sk1q(X1,X2,X3),comb)|~ap_parcontractE_c3(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_124, plain, (comb_app(combS,s1_parcontractD_sk1(X1,X2))=X2|~member(pair(comb_app(combS,X1),X2),parcontract))).
% 11.36/1.78  cnf(i_0_123, plain, (member(pair(X1,k1_parcontractD_sk1(X1,X2)),parcontract)|~member(pair(comb_app(combK,X1),X2),parcontract))).
% 11.36/1.78  cnf(i_0_101, plain, (member(pair(comb_app(comb_app(combK,X1),X2),X1),parcontract)|~member(X2,comb)|~member(X1,comb))).
% 11.36/1.78  cnf(i_0_125, plain, (member(pair(X1,s1_parcontractD_sk1(X1,X2)),parcontract)|~member(pair(comb_app(combS,X1),X2),parcontract))).
% 11.36/1.78  cnf(i_0_81, plain, (member(pair(comb_app(comb_app(combK,X1),X2),X1),contract)|~member(X2,comb)|~member(X1,comb))).
% 11.36/1.78  cnf(i_0_97, plain, (comb_app(X1,ap_contractE_sk3q(X1,X2,X3))=X3|~ap_contractE_c4(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_94, plain, (comb_app(ap_contractE_sk2q(X1,X2,X3),X2)=X3|~ap_contractE_c3(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_95, plain, (member(pair(X1,ap_contractE_sk3q(X2,X1,X3)),contract)|~ap_contractE_c4(X2,X1,X3))).
% 11.36/1.78  cnf(i_0_120, plain, (member(pair(X1,ap_parcontractE_sk2s(X2,X1,X3)),parcontract)|~ap_parcontractE_c4(X2,X1,X3))).
% 11.36/1.78  cnf(i_0_119, plain, (member(pair(X1,ap_parcontractE_sk2q(X1,X2,X3)),parcontract)|~ap_parcontractE_c4(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_103, plain, (member(pair(comb_app(X1,X2),comb_app(X3,X4)),parcontract)|~member(pair(X2,X4),parcontract)|~member(pair(X1,X3),parcontract))).
% 11.36/1.78  cnf(i_0_128, plain, (member(pair(X1,s2_parcontractD_sk1q(X2,X1,X3)),parcontract)|~member(pair(comb_app(comb_app(combS,X2),X1),X3),parcontract))).
% 11.36/1.78  cnf(i_0_127, plain, (member(pair(X1,s2_parcontractD_sk1p(X1,X2,X3)),parcontract)|~member(pair(comb_app(comb_app(combS,X1),X2),X3),parcontract))).
% 11.36/1.78  cnf(i_0_92, plain, (member(pair(X1,ap_contractE_sk2q(X1,X2,X3)),contract)|~ap_contractE_c3(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_121, plain, (comb_app(ap_parcontractE_sk2q(X1,X2,X3),ap_parcontractE_sk2s(X1,X2,X3))=X3|~ap_parcontractE_c4(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_91, plain, (comb_app(comb_app(combS,ap_contractE_sk1p(X1,X2,X3)),ap_contractE_sk1q(X1,X2,X3))=X1|~ap_contractE_c2(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_118, plain, (comb_app(comb_app(combS,ap_parcontractE_sk1p(X1,X2,X3)),ap_parcontractE_sk1q(X1,X2,X3))=X1|~ap_parcontractE_c3(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_83, plain, (ap_contractE_c4(X1,X2,X3)|ap_contractE_c3(X1,X2,X3)|ap_contractE_c2(X1,X2,X3)|ap_contractE_c1(X1,X2,X3)|~member(pair(comb_app(X1,X2),X3),contract))).
% 11.36/1.78  cnf(i_0_108, plain, (ap_parcontractE_c4(X1,X2,X3)|ap_parcontractE_c3(X1,X2,X3)|ap_parcontractE_c2(X1,X2,X3)|ap_parcontractE_c1(X1,X2,X3)|~member(pair(comb_app(X1,X2),X3),parcontract))).
% 11.36/1.78  cnf(i_0_90, plain, (comb_app(comb_app(ap_contractE_sk1p(X1,X2,X3),X2),comb_app(ap_contractE_sk1q(X1,X2,X3),X2))=X3|~ap_contractE_c2(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_117, plain, (comb_app(comb_app(ap_parcontractE_sk1p(X1,X2,X3),X2),comb_app(ap_parcontractE_sk1q(X1,X2,X3),X2))=X3|~ap_parcontractE_c3(X1,X2,X3))).
% 11.36/1.78  cnf(i_0_102, plain, (member(pair(comb_app(comb_app(comb_app(combS,X1),X2),X3),comb_app(comb_app(X1,X3),comb_app(X2,X3))),parcontract)|~member(X3,comb)|~member(X2,comb)|~member(X1,comb))).
% 11.36/1.78  cnf(i_0_126, plain, (comb_app(comb_app(combS,s2_parcontractD_sk1p(X1,X2,X3)),s2_parcontractD_sk1q(X1,X2,X3))=X3|~member(pair(comb_app(comb_app(combS,X1),X2),X3),parcontract))).
% 11.36/1.78  cnf(i_0_82, plain, (member(pair(comb_app(comb_app(comb_app(combS,X1),X2),X3),comb_app(comb_app(X1,X3),comb_app(X2,X3))),contract)|~member(X3,comb)|~member(X2,comb)|~member(X1,comb))).
% 11.36/1.78  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 11.36/1.78  # Begin printing tableau
% 11.36/1.78  # Found 5 steps
% 11.36/1.78  cnf(i_0_136, negated_conjecture, (~member(pair(p,s1_parcontractD_sk1(yp,comb_app(combS,yp))),parcontract)|~member(pair(yp,s1_parcontractD_sk1(yp,comb_app(combS,yp))),parcontract)), inference(start_rule)).
% 11.36/1.78  cnf(i_0_141, plain, (~member(pair(yp,s1_parcontractD_sk1(yp,comb_app(combS,yp))),parcontract)), inference(extension_rule, [i_0_125])).
% 11.36/1.78  cnf(i_0_324, plain, (~member(pair(comb_app(combS,yp),comb_app(combS,yp)),parcontract)), inference(extension_rule, [i_0_100])).
% 11.36/1.78  cnf(i_0_140, plain, (~member(pair(p,s1_parcontractD_sk1(yp,comb_app(combS,yp))),parcontract)), inference(etableau_closure_rule, [i_0_140, ...])).
% 11.36/1.78  cnf(i_0_392, plain, (~member(comb_app(combS,yp),comb)), inference(etableau_closure_rule, [i_0_392, ...])).
% 11.36/1.78  # End printing tableau
% 11.36/1.78  # SZS output end
% 11.36/1.78  # Branches closed with saturation will be marked with an "s"
% 11.36/1.78  # Creating equality axioms
% 11.36/1.78  # Ran out of tableaux, making start rules for all clauses
% 11.40/1.78  # Child (28847) has found a proof.
% 11.40/1.78  
% 11.40/1.78  # Proof search is over...
% 11.40/1.78  # Freeing feature tree
%------------------------------------------------------------------------------