TSTP Solution File: SYN067-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN067-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n016.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 21 06:07:49 EDT 2022

% Result   : Unsatisfiable 16.42s 2.49s
% Output   : CNFRefutation 16.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN067-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n016.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 : Mon Jul 11 18:45:43 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.38  # No SInE strategy applied
% 0.13/0.38  # Auto-Mode selected heuristic G_E___107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y
% 0.13/0.38  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.13/0.38  #
% 0.13/0.38  # Presaturation interreduction done
% 0.13/0.38  # Number of axioms: 84 Number of unprocessed: 74
% 0.13/0.38  # Tableaux proof search.
% 0.13/0.38  # APR header successfully linked.
% 0.13/0.38  # Hello from C++
% 0.13/0.38  # The folding up rule is enabled...
% 0.13/0.38  # Local unification is enabled...
% 0.13/0.38  # Any saturation attempts will use folding labels...
% 0.13/0.38  # 74 beginning clauses after preprocessing and clausification
% 0.13/0.38  # Creating start rules for all 74 conjectures.
% 0.13/0.38  # There are 74 start rule candidates:
% 0.13/0.38  # Found 1 unit axioms.
% 0.13/0.38  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.38  # 74 start rule tableaux created.
% 0.13/0.38  # 73 extension rule candidate clauses
% 0.13/0.38  # 1 unit axiom clauses
% 0.13/0.38  
% 0.13/0.38  # Requested 8, 32 cores available to the main process.
% 16.42/2.49  # There were 42 total branch saturation attempts.
% 16.42/2.49  # There were 0 of these attempts blocked.
% 16.42/2.49  # There were 0 deferred branch saturation attempts.
% 16.42/2.49  # There were 0 free duplicated saturations.
% 16.42/2.49  # There were 42 total successful branch saturations.
% 16.42/2.49  # There were 0 successful branch saturations in interreduction.
% 16.42/2.49  # There were 0 successful branch saturations on the branch.
% 16.42/2.49  # There were 42 successful branch saturations after the branch.
% 16.42/2.49  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.42/2.49  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.42/2.49  # Begin clausification derivation
% 16.42/2.49  
% 16.42/2.49  # End clausification derivation
% 16.42/2.49  # Begin listing active clauses obtained from FOF to CNF conversion
% 16.42/2.49  cnf(i_0_121, negated_conjecture, (big_p(a))).
% 16.42/2.49  cnf(i_0_138, negated_conjecture, (big_p(c1)|big_p(c3)|~big_p(c4)|~big_p(c2))).
% 16.42/2.49  cnf(i_0_150, negated_conjecture, (big_r(c2,c1)|big_p(c3)|~big_p(c4)|~big_p(c2))).
% 16.42/2.49  cnf(i_0_139, negated_conjecture, (big_r(c4,c3)|big_p(c1)|~big_p(c4)|~big_p(c2))).
% 16.42/2.49  cnf(i_0_151, negated_conjecture, (big_r(c2,c1)|big_r(c4,c3)|~big_p(c4)|~big_p(c2))).
% 16.42/2.49  cnf(i_0_162, negated_conjecture, (big_p(c3)|~big_r(c2,X1)|~big_r(X1,X2)|~big_p(c4)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_163, negated_conjecture, (big_r(c4,c3)|~big_r(c2,X1)|~big_r(X1,X2)|~big_p(c4)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_142, negated_conjecture, (big_p(c1)|big_p(c3)|~big_r(c4,X1)|~big_r(X1,X2)|~big_p(c2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_140, negated_conjecture, (big_p(c1)|~big_r(c4,X1)|~big_r(X1,X2)|~big_p(c4)|~big_p(c2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_154, negated_conjecture, (big_r(c2,c1)|big_p(c3)|~big_r(c4,X1)|~big_r(X1,X2)|~big_p(c2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_143, negated_conjecture, (big_r(c4,c3)|big_p(c1)|~big_r(c4,X1)|~big_r(X1,X2)|~big_p(c2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_152, negated_conjecture, (big_r(c2,c1)|~big_r(c4,X1)|~big_r(X1,X2)|~big_p(c4)|~big_p(c2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_155, negated_conjecture, (big_r(c2,c1)|big_r(c4,c3)|~big_r(c4,X1)|~big_r(X1,X2)|~big_p(c2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_166, negated_conjecture, (~epred14_0|~epred13_0)).
% 16.42/2.49  cnf(i_0_171, negated_conjecture, (epred1_0|big_p(f4(X1))|big_p(X1))).
% 16.42/2.49  cnf(i_0_174, negated_conjecture, (epred2_0|big_p(f2(X1))|big_p(X1))).
% 16.42/2.49  cnf(i_0_177, negated_conjecture, (epred3_0|big_r(X1,f3(X1))|big_p(X1))).
% 16.42/2.49  cnf(i_0_85, negated_conjecture, (~epred2_0|~epred1_0)).
% 16.42/2.49  cnf(i_0_86, negated_conjecture, (~epred3_0|~epred2_0)).
% 16.42/2.49  cnf(i_0_167, negated_conjecture, (~epred15_0|~epred14_0)).
% 16.42/2.49  cnf(i_0_164, negated_conjecture, (~epred16_0|~epred14_0)).
% 16.42/2.49  cnf(i_0_144, negated_conjecture, (~epred18_0|~epred17_0)).
% 16.42/2.49  cnf(i_0_156, negated_conjecture, (~epred19_0|~epred18_0)).
% 16.42/2.49  cnf(i_0_181, negated_conjecture, (epred4_0|big_r(X1,f1(X1))|big_p(X1))).
% 16.42/2.49  cnf(i_0_185, negated_conjecture, (epred5_0|big_r(f3(X1),f4(X1))|big_p(X1))).
% 16.42/2.49  cnf(i_0_189, negated_conjecture, (epred6_0|big_r(f1(X1),f2(X1))|big_p(X1))).
% 16.42/2.49  cnf(i_0_91, negated_conjecture, (~epred4_0|~epred1_0)).
% 16.42/2.49  cnf(i_0_87, negated_conjecture, (~epred5_0|~epred2_0)).
% 16.42/2.49  cnf(i_0_168, negated_conjecture, (~epred18_0|~epred14_0)).
% 16.42/2.49  cnf(i_0_257, negated_conjecture, (epred16_0|~big_r(c4,X1)|~big_r(X1,X2)|~big_p(c4)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_97, negated_conjecture, (~epred6_0|~epred1_0)).
% 16.42/2.49  cnf(i_0_92, negated_conjecture, (~epred4_0|~epred3_0)).
% 16.42/2.49  cnf(i_0_198, negated_conjecture, (epred7_0|big_p(f2(X1))|~big_r(X1,X2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_201, negated_conjecture, (epred8_0|big_p(f6(X1))|~big_r(X1,X2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_250, negated_conjecture, (epred14_0|~big_r(c2,X1)|~big_r(X1,X2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_98, negated_conjecture, (~epred6_0|~epred3_0)).
% 16.42/2.49  cnf(i_0_103, negated_conjecture, (~epred7_0|~epred1_0)).
% 16.42/2.49  cnf(i_0_88, negated_conjecture, (~epred8_0|~epred2_0)).
% 16.42/2.49  cnf(i_0_93, negated_conjecture, (~epred5_0|~epred4_0)).
% 16.42/2.49  cnf(i_0_99, negated_conjecture, (~epred6_0|~epred5_0)).
% 16.42/2.49  cnf(i_0_104, negated_conjecture, (~epred7_0|~epred3_0)).
% 16.42/2.49  cnf(i_0_272, negated_conjecture, (epred18_0|~big_r(c4,X1)|~big_r(X1,X2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_247, negated_conjecture, (epred13_0|big_p(c3)|~big_r(c4,X1)|~big_r(X1,X2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_269, negated_conjecture, (epred17_0|big_p(c1)|~big_r(c4,X1)|~big_r(X1,X2)|~big_p(c2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_109, negated_conjecture, (~epred9_0|~epred1_0)).
% 16.42/2.49  cnf(i_0_89, negated_conjecture, (~epred10_0|~epred2_0)).
% 16.42/2.49  cnf(i_0_94, negated_conjecture, (~epred8_0|~epred4_0)).
% 16.42/2.49  cnf(i_0_105, negated_conjecture, (~epred7_0|~epred5_0)).
% 16.42/2.49  cnf(i_0_115, negated_conjecture, (~epred11_0|~epred1_0)).
% 16.42/2.49  cnf(i_0_90, negated_conjecture, (~epred12_0|~epred2_0)).
% 16.42/2.49  cnf(i_0_211, negated_conjecture, (epred9_0|big_r(X1,f1(X1))|~big_r(X1,X2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_215, negated_conjecture, (epred10_0|big_r(X1,f5(X1))|~big_r(X1,X2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_253, negated_conjecture, (epred15_0|big_r(c4,c3)|~big_r(c4,X1)|~big_r(X1,X2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_100, negated_conjecture, (~epred8_0|~epred6_0)).
% 16.42/2.49  cnf(i_0_110, negated_conjecture, (~epred9_0|~epred3_0)).
% 16.42/2.49  cnf(i_0_95, negated_conjecture, (~epred10_0|~epred4_0)).
% 16.42/2.49  cnf(i_0_106, negated_conjecture, (~epred8_0|~epred7_0)).
% 16.42/2.49  cnf(i_0_116, negated_conjecture, (~epred11_0|~epred3_0)).
% 16.42/2.49  cnf(i_0_111, negated_conjecture, (~epred9_0|~epred5_0)).
% 16.42/2.49  cnf(i_0_275, negated_conjecture, (epred19_0|big_r(c2,c1)|~big_r(c4,X1)|~big_r(X1,X2)|~big_p(c2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_223, negated_conjecture, (epred11_0|big_r(f1(X1),f2(X1))|~big_r(X1,X2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_227, negated_conjecture, (epred12_0|big_r(f5(X1),f6(X1))|~big_r(X1,X2)|~big_p(X2))).
% 16.42/2.49  cnf(i_0_101, negated_conjecture, (~epred10_0|~epred6_0)).
% 16.42/2.49  cnf(i_0_96, negated_conjecture, (~epred12_0|~epred4_0)).
% 16.42/2.49  cnf(i_0_117, negated_conjecture, (~epred11_0|~epred5_0)).
% 16.42/2.49  cnf(i_0_102, negated_conjecture, (~epred12_0|~epred6_0)).
% 16.42/2.49  cnf(i_0_107, negated_conjecture, (~epred10_0|~epred7_0)).
% 16.42/2.49  cnf(i_0_112, negated_conjecture, (~epred9_0|~epred8_0)).
% 16.42/2.49  cnf(i_0_108, negated_conjecture, (~epred12_0|~epred7_0)).
% 16.42/2.49  cnf(i_0_118, negated_conjecture, (~epred11_0|~epred8_0)).
% 16.42/2.49  cnf(i_0_113, negated_conjecture, (~epred10_0|~epred9_0)).
% 16.42/2.49  cnf(i_0_119, negated_conjecture, (~epred11_0|~epred10_0)).
% 16.42/2.49  cnf(i_0_114, negated_conjecture, (~epred12_0|~epred9_0)).
% 16.42/2.49  cnf(i_0_120, negated_conjecture, (~epred12_0|~epred11_0)).
% 16.42/2.49  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 16.42/2.49  # Begin printing tableau
% 16.42/2.49  # Found 64 steps
% 16.42/2.49  cnf(i_0_107, negated_conjecture, (~epred10_0|~epred7_0), inference(start_rule)).
% 16.42/2.49  cnf(i_0_306, plain, (~epred10_0), inference(extension_rule, [i_0_215])).
% 16.42/2.49  cnf(i_0_572, plain, (big_r(c4,f5(c4))), inference(extension_rule, [i_0_247])).
% 16.42/2.49  cnf(i_0_27447, plain, (~big_p(a)), inference(closure_rule, [i_0_121])).
% 16.42/2.49  cnf(i_0_27443, plain, (epred13_0), inference(extension_rule, [i_0_166])).
% 16.42/2.49  cnf(i_0_27444, plain, (big_p(c3)), inference(etableau_closure_rule, [i_0_27444, ...])).
% 16.42/2.49  cnf(i_0_27446, plain, (~big_r(f5(c4),a)), inference(etableau_closure_rule, [i_0_27446, ...])).
% 16.42/2.49  cnf(i_0_27545, plain, (~epred14_0), inference(etableau_closure_rule, [i_0_27545, ...])).
% 16.42/2.49  cnf(i_0_573, plain, (~big_r(c4,c3)), inference(extension_rule, [i_0_155])).
% 16.42/2.49  cnf(i_0_41512, plain, (~big_r(f1(c4),f2(c4))), inference(extension_rule, [i_0_223])).
% 16.42/2.49  cnf(i_0_42536, plain, (~big_p(a)), inference(closure_rule, [i_0_121])).
% 16.42/2.49  cnf(i_0_41513, plain, (~big_p(c2)), inference(extension_rule, [i_0_174])).
% 16.42/2.49  cnf(i_0_41511, plain, (~big_r(c4,f1(c4))), inference(extension_rule, [i_0_211])).
% 16.42/2.49  cnf(i_0_42851, plain, (~big_p(a)), inference(closure_rule, [i_0_121])).
% 16.42/2.49  cnf(i_0_41509, plain, (big_r(c2,c1)), inference(extension_rule, [i_0_250])).
% 16.42/2.49  cnf(i_0_42913, plain, (~big_p(a)), inference(closure_rule, [i_0_121])).
% 16.42/2.49  cnf(i_0_41514, plain, (~big_p(f2(c4))), inference(extension_rule, [i_0_198])).
% 16.42/2.49  cnf(i_0_42979, plain, (~big_p(a)), inference(closure_rule, [i_0_121])).
% 16.42/2.49  cnf(i_0_574, plain, (~big_p(c3)), inference(extension_rule, [i_0_154])).
% 16.42/2.49  cnf(i_0_43080, plain, (~big_r(f1(c4),f2(c4))), inference(extension_rule, [i_0_189])).
% 16.42/2.49  cnf(i_0_43079, plain, (~big_r(c4,f1(c4))), inference(extension_rule, [i_0_181])).
% 16.42/2.49  cnf(i_0_43077, plain, (big_r(c2,c1)), inference(extension_rule, [i_0_257])).
% 16.42/2.49  cnf(i_0_43082, plain, (~big_p(f2(c4))), inference(extension_rule, [i_0_185])).
% 16.42/2.49  cnf(i_0_43081, plain, (~big_p(c2)), inference(extension_rule, [i_0_177])).
% 16.42/2.49  cnf(i_0_307, plain, (~epred7_0), inference(extension_rule, [i_0_198])).
% 16.42/2.49  cnf(i_0_45646, plain, (~big_p(a)), inference(closure_rule, [i_0_121])).
% 16.42/2.49  cnf(i_0_42533, plain, (epred11_0), inference(etableau_closure_rule, [i_0_42533, ...])).
% 16.42/2.49  cnf(i_0_42535, plain, (~big_r(c4,a)), inference(etableau_closure_rule, [i_0_42535, ...])).
% 16.42/2.49  cnf(i_0_42683, plain, (epred2_0), inference(etableau_closure_rule, [i_0_42683, ...])).
% 16.42/2.49  cnf(i_0_42684, plain, (big_p(f2(c2))), inference(etableau_closure_rule, [i_0_42684, ...])).
% 16.42/2.49  cnf(i_0_42848, plain, (epred9_0), inference(etableau_closure_rule, [i_0_42848, ...])).
% 16.42/2.49  cnf(i_0_42850, plain, (~big_r(c4,a)), inference(etableau_closure_rule, [i_0_42850, ...])).
% 16.42/2.49  cnf(i_0_42910, plain, (epred14_0), inference(etableau_closure_rule, [i_0_42910, ...])).
% 16.42/2.49  cnf(i_0_42912, plain, (~big_r(c1,a)), inference(etableau_closure_rule, [i_0_42912, ...])).
% 16.42/2.49  cnf(i_0_42976, plain, (epred7_0), inference(etableau_closure_rule, [i_0_42976, ...])).
% 16.42/2.49  cnf(i_0_42978, plain, (~big_r(c4,a)), inference(etableau_closure_rule, [i_0_42978, ...])).
% 16.42/2.49  cnf(i_0_44325, plain, (epred6_0), inference(etableau_closure_rule, [i_0_44325, ...])).
% 16.42/2.49  cnf(i_0_44327, plain, (big_p(c4)), inference(etableau_closure_rule, [i_0_44327, ...])).
% 16.42/2.49  cnf(i_0_45062, plain, (epred4_0), inference(etableau_closure_rule, [i_0_45062, ...])).
% 16.42/2.49  cnf(i_0_45064, plain, (big_p(c4)), inference(etableau_closure_rule, [i_0_45064, ...])).
% 16.42/2.49  cnf(i_0_45127, plain, (epred16_0), inference(etableau_closure_rule, [i_0_45127, ...])).
% 16.42/2.49  cnf(i_0_45128, plain, (~big_r(c4,c2)), inference(etableau_closure_rule, [i_0_45128, ...])).
% 16.42/2.49  cnf(i_0_45130, plain, (~big_p(c4)), inference(etableau_closure_rule, [i_0_45130, ...])).
% 16.42/2.49  cnf(i_0_45131, plain, (~big_p(c1)), inference(etableau_closure_rule, [i_0_45131, ...])).
% 16.42/2.49  cnf(i_0_45284, plain, (epred5_0), inference(etableau_closure_rule, [i_0_45284, ...])).
% 16.42/2.49  cnf(i_0_45285, plain, (big_r(f3(f2(c4)),f4(f2(c4)))), inference(etableau_closure_rule, [i_0_45285, ...])).
% 16.42/2.49  cnf(i_0_45456, plain, (epred3_0), inference(etableau_closure_rule, [i_0_45456, ...])).
% 16.42/2.49  cnf(i_0_45457, plain, (big_r(c2,f3(c2))), inference(etableau_closure_rule, [i_0_45457, ...])).
% 16.42/2.49  cnf(i_0_45644, plain, (big_p(f2(c4))), inference(extension_rule, [i_0_152])).
% 16.42/2.49  cnf(i_0_51521, plain, (big_r(c2,c1)), inference(extension_rule, [i_0_215])).
% 16.42/2.49  cnf(i_0_51522, plain, (~big_r(c4,f1(c4))), inference(extension_rule, [i_0_211])).
% 16.42/2.49  cnf(i_0_51838, plain, (~big_p(a)), inference(closure_rule, [i_0_121])).
% 16.42/2.49  cnf(i_0_51523, plain, (~big_r(f1(c4),f2(c4))), inference(extension_rule, [i_0_223])).
% 16.42/2.49  cnf(i_0_52001, plain, (~big_p(a)), inference(closure_rule, [i_0_121])).
% 16.42/2.49  cnf(i_0_45645, plain, (~big_r(c4,a)), inference(etableau_closure_rule, [i_0_45645, ...])).
% 16.42/2.49  cnf(i_0_51524, plain, (~big_p(c4)), inference(etableau_closure_rule, [i_0_51524, ...])).
% 16.42/2.49  cnf(i_0_51525, plain, (~big_p(c2)), inference(etableau_closure_rule, [i_0_51525, ...])).
% 16.42/2.49  cnf(i_0_51665, plain, (epred10_0), inference(etableau_closure_rule, [i_0_51665, ...])).
% 16.42/2.49  cnf(i_0_51666, plain, (big_r(c2,f5(c2))), inference(etableau_closure_rule, [i_0_51666, ...])).
% 16.42/2.49  cnf(i_0_51668, plain, (~big_p(c1)), inference(etableau_closure_rule, [i_0_51668, ...])).
% 16.42/2.49  cnf(i_0_51835, plain, (epred9_0), inference(etableau_closure_rule, [i_0_51835, ...])).
% 16.42/2.49  cnf(i_0_51837, plain, (~big_r(c4,a)), inference(etableau_closure_rule, [i_0_51837, ...])).
% 16.42/2.49  cnf(i_0_51998, plain, (epred11_0), inference(etableau_closure_rule, [i_0_51998, ...])).
% 16.42/2.49  cnf(i_0_52000, plain, (~big_r(c4,a)), inference(etableau_closure_rule, [i_0_52000, ...])).
% 16.42/2.49  # End printing tableau
% 16.42/2.49  # SZS output end
% 16.42/2.49  # Branches closed with saturation will be marked with an "s"
% 16.42/2.50  # Child (16555) has found a proof.
% 16.42/2.50  
% 16.42/2.50  # Proof search is over...
% 16.42/2.50  # Freeing feature tree
%------------------------------------------------------------------------------