TSTP Solution File: SYN522-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN522-1 : TPTP v8.1.0. Released v2.1.0.
% 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 : n008.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 06:12:03 EDT 2022

% Result   : Satisfiable 3.27s 0.80s
% Output   : CNFRefutation 3.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN522-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul 12 08:33:38 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.36  # No SInE strategy applied
% 0.19/0.36  # Auto-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 0.19/0.36  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.19/0.36  #
% 0.19/0.36  # Number of axioms: 111 Number of unprocessed: 111
% 0.19/0.36  # Tableaux proof search.
% 0.19/0.36  # APR header successfully linked.
% 0.19/0.36  # Hello from C++
% 0.19/0.37  # The folding up rule is enabled...
% 0.19/0.37  # Local unification is enabled...
% 0.19/0.37  # Any saturation attempts will use folding labels...
% 0.19/0.37  # 111 beginning clauses after preprocessing and clausification
% 0.19/0.37  # Creating start rules for all 111 conjectures.
% 0.19/0.37  # There are 111 start rule candidates:
% 0.19/0.37  # Found 1 unit axioms.
% 0.19/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.37  # 111 start rule tableaux created.
% 0.19/0.37  # 110 extension rule candidate clauses
% 0.19/0.37  # 1 unit axiom clauses
% 0.19/0.37  
% 0.19/0.37  # Requested 8, 32 cores available to the main process.
% 3.27/0.80  # 27947 Satisfiable branch
% 3.27/0.80  # Satisfiable branch found.
% 3.27/0.80  # There were 1 total branch saturation attempts.
% 3.27/0.80  # There were 0 of these attempts blocked.
% 3.27/0.80  # There were 0 deferred branch saturation attempts.
% 3.27/0.80  # There were 0 free duplicated saturations.
% 3.27/0.80  # There were 0 total successful branch saturations.
% 3.27/0.80  # There were 0 successful branch saturations in interreduction.
% 3.27/0.80  # There were 0 successful branch saturations on the branch.
% 3.27/0.80  # There were 0 successful branch saturations after the branch.
% 3.27/0.80  # SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.27/0.80  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.27/0.80  # Begin clausification derivation
% 3.27/0.80  
% 3.27/0.80  # End clausification derivation
% 3.27/0.80  # Begin listing active clauses obtained from FOF to CNF conversion
% 3.27/0.80  cnf(i_0_112, negated_conjecture, (c4_0)).
% 3.27/0.80  cnf(i_0_113, negated_conjecture, (ndr1_0|c1_0)).
% 3.27/0.80  cnf(i_0_114, negated_conjecture, (ndr1_0|c2_0)).
% 3.27/0.80  cnf(i_0_115, negated_conjecture, (ndr1_0|ssSkC7)).
% 3.27/0.80  cnf(i_0_116, negated_conjecture, (ndr1_0|ssSkC5)).
% 3.27/0.80  cnf(i_0_117, negated_conjecture, (ndr1_0|ssSkC4)).
% 3.27/0.80  cnf(i_0_118, negated_conjecture, (ndr1_0|ssSkC2)).
% 3.27/0.80  cnf(i_0_119, negated_conjecture, (ndr1_0|ssSkC1)).
% 3.27/0.80  cnf(i_0_121, negated_conjecture, (ndr1_0|~c1_0)).
% 3.27/0.80  cnf(i_0_157, negated_conjecture, (ndr1_0|~c4_0|~c3_0)).
% 3.27/0.80  cnf(i_0_120, negated_conjecture, (ndr1_0|~ssSkC5|~ssSkC4)).
% 3.27/0.80  cnf(i_0_124, negated_conjecture, (ndr1_0|~ssSkC1|~ssSkC0)).
% 3.27/0.80  cnf(i_0_164, negated_conjecture, (c3_0|~c1_0|~c5_0)).
% 3.27/0.80  cnf(i_0_122, negated_conjecture, (c1_0|c5_1(a118))).
% 3.27/0.80  cnf(i_0_123, negated_conjecture, (c1_0|c1_1(a118))).
% 3.27/0.80  cnf(i_0_126, negated_conjecture, (ssSkC5|ndr1_1(a128))).
% 3.27/0.80  cnf(i_0_127, negated_conjecture, (ssSkC5|c3_1(a128))).
% 3.27/0.80  cnf(i_0_128, negated_conjecture, (ssSkC4|ndr1_1(a125))).
% 3.27/0.80  cnf(i_0_132, negated_conjecture, (ssSkC2|c3_1(a109))).
% 3.27/0.80  cnf(i_0_133, negated_conjecture, (ssSkC1|ndr1_1(a106))).
% 3.27/0.80  cnf(i_0_135, negated_conjecture, (ndr1_1(a121)|~c1_0)).
% 3.27/0.80  cnf(i_0_179, negated_conjecture, (c1_1(a137)|~c4_0|~c3_0)).
% 3.27/0.80  cnf(i_0_162, negated_conjecture, (ndr1_1(a112)|~c1_0|~ssSkC3)).
% 3.27/0.80  cnf(i_0_138, negated_conjecture, (c3_1(a108)|~ssSkC1|~ssSkC0)).
% 3.27/0.80  cnf(i_0_178, negated_conjecture, (c4_1(a137)|~c4_0|~c3_0)).
% 3.27/0.80  cnf(i_0_136, negated_conjecture, (c1_0|~c2_1(a118))).
% 3.27/0.80  cnf(i_0_137, negated_conjecture, (c2_0|~c1_1(a114))).
% 3.27/0.80  cnf(i_0_139, negated_conjecture, (ssSkC7|~c2_1(a134))).
% 3.27/0.80  cnf(i_0_142, negated_conjecture, (ssSkC5|~c2_1(a128))).
% 3.27/0.80  cnf(i_0_144, negated_conjecture, (ssSkC4|~c4_1(a125))).
% 3.27/0.80  cnf(i_0_150, negated_conjecture, (ssSkC2|~c1_1(a109))).
% 3.27/0.80  cnf(i_0_154, negated_conjecture, (ssSkC1|~c5_1(a106))).
% 3.27/0.80  cnf(i_0_158, negated_conjecture, (c2_0|~ssSkC6|~c5_1(a133))).
% 3.27/0.80  cnf(i_0_159, negated_conjecture, (c2_0|~ssSkC6|~c2_1(a133))).
% 3.27/0.80  cnf(i_0_160, negated_conjecture, (~ssSkC5|~ssSkC4|~c1_1(a130))).
% 3.27/0.80  cnf(i_0_163, negated_conjecture, (~ssSkC1|~ssSkC0|~c4_1(a108))).
% 3.27/0.80  cnf(i_0_125, negated_conjecture, (ndr1_1(X1)|ssSkP4(X1))).
% 3.27/0.80  cnf(i_0_129, negated_conjecture, (ndr1_1(X1)|ssSkP3(X1))).
% 3.27/0.80  cnf(i_0_130, negated_conjecture, (ndr1_1(X1)|ssSkP2(X1))).
% 3.27/0.80  cnf(i_0_131, negated_conjecture, (ndr1_1(X1)|ssSkP1(X1))).
% 3.27/0.80  cnf(i_0_134, negated_conjecture, (ndr1_1(X1)|ssSkP0(X1))).
% 3.27/0.80  cnf(i_0_140, negated_conjecture, (ssSkC5|c4_2(a128,a129))).
% 3.27/0.80  cnf(i_0_141, negated_conjecture, (ssSkC5|c2_2(a128,a129))).
% 3.27/0.80  cnf(i_0_143, negated_conjecture, (ssSkC4|c1_2(a125,a126))).
% 3.27/0.80  cnf(i_0_152, negated_conjecture, (ssSkC1|c4_2(a106,a107))).
% 3.27/0.80  cnf(i_0_153, negated_conjecture, (ssSkC1|c2_2(a106,a107))).
% 3.27/0.80  cnf(i_0_151, negated_conjecture, (ssSkC1|c1_2(a106,a107))).
% 3.27/0.80  cnf(i_0_161, negated_conjecture, (c3_2(a121,a122)|~c1_0)).
% 3.27/0.80  cnf(i_0_181, negated_conjecture, (c2_2(a112,a113)|~c1_0|~ssSkC3)).
% 3.27/0.80  cnf(i_0_145, negated_conjecture, (ssSkP3(X1)|c4_2(X1,a119))).
% 3.27/0.80  cnf(i_0_147, negated_conjecture, (ssSkP2(X1)|c1_2(X1,a116))).
% 3.27/0.80  cnf(i_0_146, negated_conjecture, (ssSkP2(X1)|c5_2(X1,a116))).
% 3.27/0.80  cnf(i_0_148, negated_conjecture, (ssSkP1(X1)|c2_2(X1,a115))).
% 3.27/0.80  cnf(i_0_149, negated_conjecture, (ssSkP1(X1)|c5_2(X1,a115))).
% 3.27/0.80  cnf(i_0_155, negated_conjecture, (ssSkP0(X1)|c4_2(X1,a104))).
% 3.27/0.80  cnf(i_0_156, negated_conjecture, (ssSkP0(X1)|c3_2(X1,a104))).
% 3.27/0.80  cnf(i_0_184, negated_conjecture, (ssSkC6|c5_1(X1)|ndr1_1(X1)|~ndr1_0|~ssSkP4(X1))).
% 3.27/0.80  cnf(i_0_167, negated_conjecture, (ssSkC5|~c1_2(a128,a129))).
% 3.27/0.80  cnf(i_0_168, negated_conjecture, (ssSkC4|~c4_2(a125,a127))).
% 3.27/0.80  cnf(i_0_170, negated_conjecture, (ssSkC4|~c2_2(a125,a127))).
% 3.27/0.80  cnf(i_0_172, negated_conjecture, (ssSkC4|~c5_2(a125,a126))).
% 3.27/0.80  cnf(i_0_171, negated_conjecture, (ssSkC4|~c3_2(a125,a126))).
% 3.27/0.80  cnf(i_0_169, negated_conjecture, (ssSkC4|~c3_2(a125,a127))).
% 3.27/0.80  cnf(i_0_180, negated_conjecture, (~c1_0|~c2_2(a121,a122))).
% 3.27/0.80  cnf(i_0_188, negated_conjecture, (c3_0|ndr1_1(X1)|c4_1(X1)|~c4_0|~ndr1_0|~ssSkP3(X1))).
% 3.27/0.80  cnf(i_0_182, negated_conjecture, (~c1_0|~ssSkC3|~c5_2(a112,a113))).
% 3.27/0.80  cnf(i_0_183, negated_conjecture, (~c1_0|~ssSkC3|~c3_2(a112,a113))).
% 3.27/0.80  cnf(i_0_165, negated_conjecture, (ssSkP4(X1)|~c4_2(X1,a131))).
% 3.27/0.80  cnf(i_0_166, negated_conjecture, (ssSkP4(X1)|~c1_2(X1,a131))).
% 3.27/0.80  cnf(i_0_174, negated_conjecture, (ssSkP3(X1)|~c2_2(X1,a119))).
% 3.27/0.80  cnf(i_0_173, negated_conjecture, (ssSkP3(X1)|~c3_2(X1,a119))).
% 3.27/0.80  cnf(i_0_175, negated_conjecture, (ssSkP2(X1)|~c2_2(X1,a116))).
% 3.27/0.80  cnf(i_0_176, negated_conjecture, (ssSkP1(X1)|~c4_2(X1,a115))).
% 3.27/0.80  cnf(i_0_177, negated_conjecture, (ssSkP0(X1)|~c1_2(X1,a104))).
% 3.27/0.80  cnf(i_0_185, negated_conjecture, (ssSkC6|c5_1(X1)|c2_2(X1,a132)|~ndr1_0|~ssSkP4(X1))).
% 3.27/0.80  cnf(i_0_187, negated_conjecture, (ssSkC6|c5_1(X1)|c1_2(X1,a132)|~ndr1_0|~ssSkP4(X1))).
% 3.27/0.80  cnf(i_0_186, negated_conjecture, (ssSkC6|c5_1(X1)|c5_2(X1,a132)|~ndr1_0|~ssSkP4(X1))).
% 3.27/0.80  cnf(i_0_191, negated_conjecture, (c3_0|c4_1(X1)|c2_2(X1,a120)|~c4_0|~ndr1_0|~ssSkP3(X1))).
% 3.27/0.80  cnf(i_0_192, negated_conjecture, (c3_0|c4_1(X1)|c5_2(X1,a120)|~c4_0|~ndr1_0|~ssSkP3(X1))).
% 3.27/0.80  cnf(i_0_189, negated_conjecture, (c2_2(a130,X1)|c5_2(a130,X1)|~ssSkC5|~ssSkC4|~ndr1_1(a130))).
% 3.27/0.80  cnf(i_0_193, negated_conjecture, (c1_2(a112,X1)|c5_2(a112,X1)|~c1_0|~ssSkC3|~ndr1_1(a112))).
% 3.27/0.80  cnf(i_0_196, negated_conjecture, (ndr1_1(X1)|c2_1(X2)|~ndr1_0|~c3_0|~ssSkP2(X1)|~ssSkP1(X1)|~c4_1(X2))).
% 3.27/0.80  cnf(i_0_194, negated_conjecture, (c3_0|c4_1(X1)|~c4_0|~ndr1_0|~ssSkP3(X1)|~c1_2(X1,a120))).
% 3.27/0.80  cnf(i_0_190, negated_conjecture, (c2_0|c5_2(a114,X1)|~ndr1_1(a114)|~c3_2(a114,X1))).
% 3.27/0.80  cnf(i_0_199, negated_conjecture, (c2_1(X2)|c4_2(X1,a117)|~ndr1_0|~c3_0|~ssSkP2(X1)|~ssSkP1(X1)|~c4_1(X2))).
% 3.27/0.80  cnf(i_0_200, negated_conjecture, (c2_1(X2)|c3_2(X1,a117)|~ndr1_0|~c3_0|~ssSkP2(X1)|~ssSkP1(X1)|~c4_1(X2))).
% 3.27/0.80  cnf(i_0_195, negated_conjecture, (c2_0|c4_2(a114,X1)|c1_2(a114,X1)|c5_2(a114,X1)|~ndr1_1(a114))).
% 3.27/0.80  cnf(i_0_197, negated_conjecture, (c4_2(a108,X1)|c2_2(a108,X1)|c1_2(a108,X1)|~ssSkC1|~ssSkC0|~ndr1_1(a108))).
% 3.27/0.80  cnf(i_0_203, negated_conjecture, (c2_1(X2)|~ndr1_0|~c3_0|~ssSkP2(X1)|~ssSkP1(X1)|~c4_1(X2)|~c5_2(X1,a117))).
% 3.27/0.80  cnf(i_0_198, negated_conjecture, (ssSkC7|c4_2(a134,X1)|c1_2(a134,X1)|~ndr1_1(a134)|~c5_2(a134,X1))).
% 3.27/0.80  cnf(i_0_206, negated_conjecture, (c5_0|c4_2(X1,X2)|c5_2(X1,X2)|~ndr1_0|~c1_0|~ndr1_1(X1)|~c3_1(X1)|~c4_1(X1))).
% 3.27/0.80  cnf(i_0_201, negated_conjecture, (c3_2(a121,X1)|~c1_0|~ndr1_1(a121)|~c4_2(a121,X1)|~c1_2(a121,X1))).
% 3.27/0.80  cnf(i_0_202, negated_conjecture, (c3_2(a121,X1)|~c1_0|~ndr1_1(a121)|~c1_2(a121,X1)|~c5_2(a121,X1))).
% 3.27/0.80  cnf(i_0_204, negated_conjecture, (ssSkC7|~ndr1_1(a134)|~c2_2(a134,X1)|~c1_2(a134,X1)|~c3_2(a134,X1))).
% 3.27/0.80  cnf(i_0_205, negated_conjecture, (~ssSkC5|~ssSkC4|~ndr1_1(a130)|~c4_2(a130,X1)|~c2_2(a130,X1)|~c3_2(a130,X1))).
% 3.27/0.80  cnf(i_0_212, negated_conjecture, (c3_0|ndr1_1(a139)|c2_2(X1,X2)|c1_2(X1,X2)|c3_2(X1,X2)|~ndr1_0|~c5_1(X1)|~ndr1_1(X1)|~c4_1(X1))).
% 3.27/0.80  cnf(i_0_213, negated_conjecture, (c5_1(X1)|c2_2(X1,X2)|c5_2(X1,X2)|c3_2(X1,X2)|c5_2(X1,a138)|~c4_0|~ndr1_0|~c2_0|~ndr1_1(X1))).
% 3.27/0.80  cnf(i_0_217, negated_conjecture, (c3_0|c2_2(X1,X2)|c1_2(X1,X2)|c3_2(X1,X2)|~ndr1_0|~c5_1(X1)|~ndr1_1(X1)|~c4_1(X1)|~c5_1(a139))).
% 3.27/0.80  cnf(i_0_215, negated_conjecture, (c3_0|c2_2(X1,X2)|c1_2(X1,X2)|c3_2(X1,X2)|c2_2(a139,a140)|~ndr1_0|~c5_1(X1)|~ndr1_1(X1)|~c4_1(X1))).
% 3.27/0.80  cnf(i_0_216, negated_conjecture, (c3_0|c2_2(X1,X2)|c1_2(X1,X2)|c3_2(X1,X2)|c1_2(a139,a140)|~ndr1_0|~c5_1(X1)|~ndr1_1(X1)|~c4_1(X1))).
% 3.27/0.80  cnf(i_0_218, negated_conjecture, (c5_1(X1)|c2_2(X1,X2)|c5_2(X1,X2)|c3_2(X1,X2)|~c4_0|~ndr1_0|~c2_0|~ndr1_1(X1)|~c4_2(X1,a138))).
% 3.27/0.80  cnf(i_0_207, negated_conjecture, (ssSkC0|c2_2(X1,X2)|c3_2(X1,X2)|c2_2(X1,a105)|~ndr1_0|~ndr1_1(X1)|~ssSkP0(X1)|~c5_2(X1,X2))).
% 3.27/0.80  cnf(i_0_209, negated_conjecture, (ssSkC3|c4_2(X1,X2)|c1_2(X1,X2)|c2_2(X1,a111)|~ndr1_0|~ndr1_1(X1)|~c4_1(X1)|~c2_2(X1,X2))).
% 3.27/0.80  cnf(i_0_208, negated_conjecture, (ssSkC3|c4_2(X1,X2)|c1_2(X1,X2)|c5_2(X1,a111)|~ndr1_0|~ndr1_1(X1)|~c4_1(X1)|~c2_2(X1,X2))).
% 3.27/0.80  cnf(i_0_219, negated_conjecture, (c3_0|c2_2(X1,X2)|c1_2(X1,X2)|c3_2(X1,X2)|~ndr1_0|~c5_1(X1)|~ndr1_1(X1)|~c4_1(X1)|~c4_2(a139,a140))).
% 3.27/0.80  cnf(i_0_210, negated_conjecture, (ssSkC0|c2_2(X1,X2)|c3_2(X1,X2)|~ndr1_0|~ndr1_1(X1)|~ssSkP0(X1)|~c5_2(X1,X2)|~c4_2(X1,a105))).
% 3.27/0.80  cnf(i_0_211, negated_conjecture, (ssSkC0|c2_2(X1,X2)|c3_2(X1,X2)|~ndr1_0|~ndr1_1(X1)|~ssSkP0(X1)|~c5_2(X1,X2)|~c3_2(X1,a105))).
% 3.27/0.80  cnf(i_0_214, negated_conjecture, (ssSkC3|c4_2(X1,X2)|c1_2(X1,X2)|~ndr1_0|~ndr1_1(X1)|~c4_1(X1)|~c2_2(X1,X2)|~c3_2(X1,a111))).
% 3.27/0.80  cnf(i_0_221, negated_conjecture, (~ndr1_0|~ssSkC2|~c5_1(X1)|~ndr1_1(X1)|~c3_1(X1)|~c3_1(a110)|~c1_2(X1,X2)|~c5_2(X1,X2)|~c3_2(X1,X2))).
% 3.27/0.80  cnf(i_0_220, negated_conjecture, (~ndr1_0|~ssSkC2|~c5_1(X1)|~ndr1_1(X1)|~c3_1(X1)|~c4_1(a110)|~c1_2(X1,X2)|~c5_2(X1,X2)|~c3_2(X1,X2))).
% 3.27/0.80  cnf(i_0_222, negated_conjecture, (c1_2(a110,X3)|c5_2(a110,X3)|~ndr1_0|~ssSkC2|~c5_1(X1)|~ndr1_1(X1)|~c3_1(X1)|~ndr1_1(a110)|~c1_2(X1,X2)|~c5_2(X1,X2)|~c3_2(X1,X2))).
% 3.27/0.80  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 3.27/0.80  # Begin printing tableau
% 3.27/0.80  # Found 6 steps
% 3.27/0.80  cnf(i_0_219, negated_conjecture, (c3_0|c2_2(a130,a116)|c1_2(a130,a116)|c3_2(a130,a116)|~ndr1_0|~c5_1(a130)|~ndr1_1(a130)|~c4_1(a130)|~c4_2(a139,a140)), inference(start_rule)).
% 3.27/0.80  cnf(i_0_276, plain, (c3_0), inference(closure_rule, [i_0_0])).
% 3.27/0.80  cnf(i_0_277, plain, (c2_2(a130,a116)), inference(extension_rule, [i_0_175])).
% 3.27/0.80  cnf(i_0_12757, plain, (ssSkP2(a130)), inference(extension_rule, [i_0_200])).
% 3.27/0.80  cnf(i_0_16412, plain, (c2_1(a128)), inference(extension_rule, [i_0_142])).
% 3.27/0.80  cnf(i_0_16413, plain, (c3_2(a130,a117)), inference(extension_rule, [i_0_205])).
% 3.27/0.80  # End printing tableau
% 3.27/0.80  # SZS output end
% 3.27/0.80  # Branches closed with saturation will be marked with an "s"
% 3.27/0.80  # Child (27947) has found a proof.
% 3.27/0.80  
% 3.27/0.80  # Proof search is over...
% 3.27/0.80  # Freeing feature tree
%------------------------------------------------------------------------------