TSTP Solution File: PUZ025-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : PUZ025-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 19:12:41 EDT 2023

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   21 (   7 unt;   6 nHn;  19 RR)
%            Number of literals    :   53 (   0 equ;  34 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   28 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(liar_denies_truths,axiom,
    ( answer(no)
    | ~ ask_1_if_2(X1,X2)
    | ~ a_truth(liar(X1))
    | ~ a_truth(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.e124WxvkmR/E---3.1_25880.p',liar_denies_truths) ).

cnf(prove_there_is_an_answer,negated_conjecture,
    ~ answer(X1),
    file('/export/starexec/sandbox2/tmp/tmp.e124WxvkmR/E---3.1_25880.p',prove_there_is_an_answer) ).

cnf(truthteller_identifies_truths,axiom,
    ( answer(yes)
    | ~ ask_1_if_2(X1,X2)
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.e124WxvkmR/E---3.1_25880.p',truthteller_identifies_truths) ).

cnf(liar_supports_lies,axiom,
    ( a_truth(X2)
    | answer(yes)
    | ~ ask_1_if_2(X1,X2)
    | ~ a_truth(liar(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.e124WxvkmR/E---3.1_25880.p',liar_supports_lies) ).

cnf(truthteller_denies_lies,axiom,
    ( a_truth(X2)
    | answer(no)
    | ~ ask_1_if_2(X1,X2)
    | ~ a_truth(truthteller(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.e124WxvkmR/E---3.1_25880.p',truthteller_denies_lies) ).

cnf(ask_c_if_a_and_b_equal,hypothesis,
    ask_1_if_2(c,equal_type(a,b)),
    file('/export/starexec/sandbox2/tmp/tmp.e124WxvkmR/E---3.1_25880.p',ask_c_if_a_and_b_equal) ).

cnf(truthteller_or_liar,axiom,
    ( a_truth(truthteller(X1))
    | a_truth(liar(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.e124WxvkmR/E---3.1_25880.p',truthteller_or_liar) ).

cnf(c_0_7,axiom,
    ( answer(no)
    | ~ ask_1_if_2(X1,X2)
    | ~ a_truth(liar(X1))
    | ~ a_truth(X2) ),
    liar_denies_truths ).

cnf(c_0_8,negated_conjecture,
    ~ answer(X1),
    prove_there_is_an_answer ).

cnf(c_0_9,axiom,
    ( answer(yes)
    | ~ ask_1_if_2(X1,X2)
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(X2) ),
    truthteller_identifies_truths ).

cnf(c_0_10,axiom,
    ( a_truth(X2)
    | answer(yes)
    | ~ ask_1_if_2(X1,X2)
    | ~ a_truth(liar(X1)) ),
    liar_supports_lies ).

cnf(c_0_11,plain,
    ( ~ ask_1_if_2(X1,X2)
    | ~ a_truth(liar(X1))
    | ~ a_truth(X2) ),
    inference(sr,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,axiom,
    ( a_truth(X2)
    | answer(no)
    | ~ ask_1_if_2(X1,X2)
    | ~ a_truth(truthteller(X1)) ),
    truthteller_denies_lies ).

cnf(c_0_13,plain,
    ( ~ ask_1_if_2(X1,X2)
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(X2) ),
    inference(sr,[status(thm)],[c_0_9,c_0_8]) ).

cnf(c_0_14,plain,
    ( ~ ask_1_if_2(X1,X2)
    | ~ a_truth(liar(X1)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_10,c_0_8]),c_0_11]) ).

cnf(c_0_15,hypothesis,
    ask_1_if_2(c,equal_type(a,b)),
    ask_c_if_a_and_b_equal ).

cnf(c_0_16,plain,
    ( ~ ask_1_if_2(X1,X2)
    | ~ a_truth(truthteller(X1)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_12,c_0_8]),c_0_13]) ).

cnf(c_0_17,hypothesis,
    ~ a_truth(liar(c)),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,axiom,
    ( a_truth(truthteller(X1))
    | a_truth(liar(X1)) ),
    truthteller_or_liar ).

cnf(c_0_19,hypothesis,
    ~ a_truth(truthteller(c)),
    inference(spm,[status(thm)],[c_0_16,c_0_15]) ).

cnf(c_0_20,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ025-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n010.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   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 18:44:20 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.51  Running first-order model finding
% 0.21/0.51  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.e124WxvkmR/E---3.1_25880.p
% 0.21/0.52  # Version: 3.1pre001
% 0.21/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.52  # Starting sh5l with 300s (1) cores
% 0.21/0.52  # sh5l with pid 25992 completed with status 0
% 0.21/0.52  # Result found by sh5l
% 0.21/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.52  # Starting sh5l with 300s (1) cores
% 0.21/0.52  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.52  # Search class: FGHNF-FFSM21-SFFFFFNN
% 0.21/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.52  # SAT001_MinMin_p005000_rr_RG with pid 25995 completed with status 0
% 0.21/0.52  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.52  # Starting sh5l with 300s (1) cores
% 0.21/0.52  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.52  # Search class: FGHNF-FFSM21-SFFFFFNN
% 0.21/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.52  # Preprocessing time       : 0.001 s
% 0.21/0.52  # Presaturation interreduction done
% 0.21/0.52  
% 0.21/0.52  # Proof found!
% 0.21/0.52  # SZS status Unsatisfiable
% 0.21/0.52  # SZS output start CNFRefutation
% See solution above
% 0.21/0.52  # Parsed axioms                        : 24
% 0.21/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.52  # Initial clauses                      : 24
% 0.21/0.52  # Removed in clause preprocessing      : 0
% 0.21/0.52  # Initial clauses in saturation        : 24
% 0.21/0.52  # Processed clauses                    : 38
% 0.21/0.52  # ...of these trivial                  : 0
% 0.21/0.52  # ...subsumed                          : 0
% 0.21/0.52  # ...remaining for further processing  : 38
% 0.21/0.52  # Other redundant clauses eliminated   : 0
% 0.21/0.52  # Clauses deleted for lack of memory   : 0
% 0.21/0.52  # Backward-subsumed                    : 2
% 0.21/0.52  # Backward-rewritten                   : 0
% 0.21/0.52  # Generated clauses                    : 4
% 0.21/0.52  # ...of the previous two non-redundant : 2
% 0.21/0.52  # ...aggressively subsumed             : 0
% 0.21/0.52  # Contextual simplify-reflections      : 2
% 0.21/0.52  # Paramodulations                      : 4
% 0.21/0.52  # Factorizations                       : 0
% 0.21/0.52  # NegExts                              : 0
% 0.21/0.52  # Equation resolutions                 : 0
% 0.21/0.52  # Total rewrite steps                  : 0
% 0.21/0.52  # Propositional unsat checks           : 0
% 0.21/0.52  #    Propositional check models        : 0
% 0.21/0.52  #    Propositional check unsatisfiable : 0
% 0.21/0.52  #    Propositional clauses             : 0
% 0.21/0.52  #    Propositional clauses after purity: 0
% 0.21/0.52  #    Propositional unsat core size     : 0
% 0.21/0.52  #    Propositional preprocessing time  : 0.000
% 0.21/0.52  #    Propositional encoding time       : 0.000
% 0.21/0.52  #    Propositional solver time         : 0.000
% 0.21/0.52  #    Success case prop preproc time    : 0.000
% 0.21/0.52  #    Success case prop encoding time   : 0.000
% 0.21/0.52  #    Success case prop solver time     : 0.000
% 0.21/0.52  # Current number of processed clauses  : 14
% 0.21/0.52  #    Positive orientable unit clauses  : 5
% 0.21/0.52  #    Positive unorientable unit clauses: 0
% 0.21/0.52  #    Negative unit clauses             : 3
% 0.21/0.52  #    Non-unit-clauses                  : 6
% 0.21/0.52  # Current number of unprocessed clauses: 10
% 0.21/0.52  # ...number of literals in the above   : 29
% 0.21/0.52  # Current number of archived formulas  : 0
% 0.21/0.52  # Current number of archived clauses   : 24
% 0.21/0.52  # Clause-clause subsumption calls (NU) : 53
% 0.21/0.52  # Rec. Clause-clause subsumption calls : 40
% 0.21/0.52  # Non-unit clause-clause subsumptions  : 4
% 0.21/0.52  # Unit Clause-clause subsumption calls : 6
% 0.21/0.52  # Rewrite failures with RHS unbound    : 0
% 0.21/0.52  # BW rewrite match attempts            : 0
% 0.21/0.52  # BW rewrite match successes           : 0
% 0.21/0.52  # Condensation attempts                : 0
% 0.21/0.52  # Condensation successes               : 0
% 0.21/0.52  # Termbank termtop insertions          : 749
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.001 s
% 0.21/0.52  # System time              : 0.003 s
% 0.21/0.52  # Total time               : 0.005 s
% 0.21/0.52  # Maximum resident set size: 1608 pages
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.003 s
% 0.21/0.52  # System time              : 0.005 s
% 0.21/0.52  # Total time               : 0.008 s
% 0.21/0.52  # Maximum resident set size: 1684 pages
% 0.21/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------