TSTP Solution File: LCL407-2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL407-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:24:48 EDT 2023

% Result   : Satisfiable 0.20s 0.53s
% Output   : Saturation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named axiom_8)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_7,axiom,
    xor(X1,xor(truth,X2)) = xor(xor(X1,truth),X2),
    axiom_7,
    [final] ).

cnf(c_0_8,axiom,
    xor(X1,X1) = falsehood,
    axiom_3,
    [final] ).

cnf(c_0_9,axiom,
    xor(X1,falsehood) = X1,
    axiom_2,
    [final] ).

cnf(c_0_10,plain,
    xor(truth,xor(truth,X1)) = xor(falsehood,X1),
    inference(spm,[status(thm)],[c_0_7,c_0_8]),
    [final] ).

cnf(c_0_11,axiom,
    and_star(xor(and_star(xor(truth,X1),X2),truth),X2) = and_star(xor(and_star(xor(truth,X2),X1),truth),X1),
    axiom_8,
    [final] ).

cnf(c_0_12,plain,
    xor(X1,xor(falsehood,X2)) = xor(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_7]),c_0_8]),c_0_9]),c_0_7]),c_0_10]),
    [final] ).

cnf(c_0_13,axiom,
    and_star(xor(truth,X1),X1) = falsehood,
    axiom_6,
    [final] ).

cnf(c_0_15,axiom,
    and_star(X1,falsehood) = falsehood,
    axiom_5,
    [final] ).

cnf(c_0_16,plain,
    and_star(xor(truth,X1),xor(falsehood,X1)) = falsehood,
    inference(spm,[status(thm)],[c_0_13,c_0_12]),
    [final] ).

cnf(c_0_17,plain,
    xor(falsehood,truth) = truth,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_8]),c_0_9]),
    [final] ).

cnf(c_0_18,plain,
    and_star(xor(and_star(xor(falsehood,X1),X2),truth),X2) = and_star(xor(and_star(xor(truth,X2),xor(truth,X1)),truth),xor(truth,X1)),
    inference(spm,[status(thm)],[c_0_11,c_0_10]),
    [final] ).

cnf(c_0_19,plain,
    and_star(xor(and_star(xor(truth,X1),xor(falsehood,X2)),truth),xor(falsehood,X2)) = and_star(xor(and_star(xor(truth,X1),X2),truth),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_14]),c_0_12]),
    [final] ).

cnf(c_0_20,plain,
    and_star(xor(and_star(truth,X1),truth),X1) = falsehood,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_11]),c_0_9]),
    [final] ).

cnf(c_0_21,plain,
    and_star(truth,xor(falsehood,X1)) = and_star(truth,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_16]),c_0_17]),c_0_12]),c_0_13]),c_0_17]),
    [final] ).

cnf(c_0_22,axiom,
    and_star(X1,truth) = X1,
    axiom_4,
    [final] ).

cnf(c_0_23,plain,
    and_star(xor(and_star(xor(falsehood,X1),xor(truth,X2)),truth),xor(truth,X2)) = and_star(xor(and_star(xor(falsehood,X2),xor(truth,X1)),truth),xor(truth,X1)),
    inference(spm,[status(thm)],[c_0_18,c_0_10]),
    [final] ).

cnf(c_0_24,plain,
    and_star(xor(and_star(xor(falsehood,X1),xor(falsehood,X2)),truth),xor(falsehood,X2)) = and_star(xor(and_star(xor(falsehood,X1),X2),truth),X2),
    inference(spm,[status(thm)],[c_0_19,c_0_10]),
    [final] ).

cnf(c_0_25,plain,
    and_star(xor(and_star(truth,X1),truth),xor(falsehood,X1)) = falsehood,
    inference(spm,[status(thm)],[c_0_20,c_0_21]),
    [final] ).

cnf(c_0_26,plain,
    and_star(xor(falsehood,X1),xor(truth,X1)) = falsehood,
    inference(spm,[status(thm)],[c_0_13,c_0_10]),
    [final] ).

cnf(c_0_27,plain,
    and_star(xor(and_star(falsehood,X1),truth),X1) = xor(xor(truth,X1),truth),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_11]),c_0_8]),c_0_22]),
    [final] ).

cnf(c_0_28,plain,
    xor(falsehood,xor(truth,X1)) = xor(truth,X1),
    inference(spm,[status(thm)],[c_0_7,c_0_17]),
    [final] ).

cnf(c_0_29,plain,
    xor(xor(falsehood,X1),X1) = falsehood,
    inference(spm,[status(thm)],[c_0_8,c_0_12]),
    [final] ).

cnf(c_0_30,plain,
    xor(X1,xor(truth,xor(X1,truth))) = falsehood,
    inference(spm,[status(thm)],[c_0_8,c_0_7]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL407-2 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 12:47:01 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  Running first-order model finding
% 0.20/0.51  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.XcQQVfXErJ/E---3.1_21254.p
% 0.20/0.53  # Version: 3.1pre001
% 0.20/0.53  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.53  # Starting sh5l with 300s (1) cores
% 0.20/0.53  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 21364 completed with status 1
% 0.20/0.53  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.20/0.53  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.53  # No SInE strategy applied
% 0.20/0.53  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.20/0.53  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.53  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 0.20/0.53  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.20/0.53  # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.53  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.53  # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.20/0.53  # G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 21368 completed with status 1
% 0.20/0.53  # Result found by G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.20/0.53  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.53  # No SInE strategy applied
% 0.20/0.53  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.20/0.53  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.53  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 0.20/0.53  # Preprocessing time       : 0.001 s
% 0.20/0.53  # Presaturation interreduction done
% 0.20/0.53  
% 0.20/0.53  # No proof found!
% 0.20/0.53  # SZS status Satisfiable
% 0.20/0.53  # SZS output start Saturation
% See solution above
% 0.20/0.53  # Parsed axioms                        : 8
% 0.20/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.53  # Initial clauses                      : 8
% 0.20/0.53  # Removed in clause preprocessing      : 1
% 0.20/0.53  # Initial clauses in saturation        : 7
% 0.20/0.53  # Processed clauses                    : 74
% 0.20/0.53  # ...of these trivial                  : 18
% 0.20/0.53  # ...subsumed                          : 25
% 0.20/0.53  # ...remaining for further processing  : 31
% 0.20/0.53  # Other redundant clauses eliminated   : 0
% 0.20/0.53  # Clauses deleted for lack of memory   : 0
% 0.20/0.53  # Backward-subsumed                    : 0
% 0.20/0.53  # Backward-rewritten                   : 1
% 0.20/0.53  # Generated clauses                    : 216
% 0.20/0.53  # ...of the previous two non-redundant : 72
% 0.20/0.53  # ...aggressively subsumed             : 0
% 0.20/0.53  # Contextual simplify-reflections      : 0
% 0.20/0.53  # Paramodulations                      : 216
% 0.20/0.53  # Factorizations                       : 0
% 0.20/0.53  # NegExts                              : 0
% 0.20/0.53  # Equation resolutions                 : 0
% 0.20/0.53  # Total rewrite steps                  : 653
% 0.20/0.53  # Propositional unsat checks           : 0
% 0.20/0.53  #    Propositional check models        : 0
% 0.20/0.53  #    Propositional check unsatisfiable : 0
% 0.20/0.53  #    Propositional clauses             : 0
% 0.20/0.53  #    Propositional clauses after purity: 0
% 0.20/0.53  #    Propositional unsat core size     : 0
% 0.20/0.53  #    Propositional preprocessing time  : 0.000
% 0.20/0.53  #    Propositional encoding time       : 0.000
% 0.20/0.53  #    Propositional solver time         : 0.000
% 0.20/0.53  #    Success case prop preproc time    : 0.000
% 0.20/0.53  #    Success case prop encoding time   : 0.000
% 0.20/0.53  #    Success case prop solver time     : 0.000
% 0.20/0.53  # Current number of processed clauses  : 23
% 0.20/0.53  #    Positive orientable unit clauses  : 20
% 0.20/0.53  #    Positive unorientable unit clauses: 3
% 0.20/0.53  #    Negative unit clauses             : 0
% 0.20/0.53  #    Non-unit-clauses                  : 0
% 0.20/0.53  # Current number of unprocessed clauses: 0
% 0.20/0.53  # ...number of literals in the above   : 0
% 0.20/0.53  # Current number of archived formulas  : 0
% 0.20/0.53  # Current number of archived clauses   : 9
% 0.20/0.53  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.53  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.53  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.53  # Unit Clause-clause subsumption calls : 0
% 0.20/0.53  # Rewrite failures with RHS unbound    : 0
% 0.20/0.53  # BW rewrite match attempts            : 24
% 0.20/0.53  # BW rewrite match successes           : 4
% 0.20/0.53  # Condensation attempts                : 0
% 0.20/0.53  # Condensation successes               : 0
% 0.20/0.53  # Termbank termtop insertions          : 4527
% 0.20/0.53  
% 0.20/0.53  # -------------------------------------------------
% 0.20/0.53  # User time                : 0.006 s
% 0.20/0.53  # System time              : 0.001 s
% 0.20/0.53  # Total time               : 0.007 s
% 0.20/0.53  # Maximum resident set size: 1520 pages
% 0.20/0.53  
% 0.20/0.53  # -------------------------------------------------
% 0.20/0.53  # User time                : 0.021 s
% 0.20/0.53  # System time              : 0.009 s
% 0.20/0.53  # Total time               : 0.029 s
% 0.20/0.53  # Maximum resident set size: 1672 pages
% 0.20/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------