TSTP Solution File: SYN207-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN207-1 : TPTP v8.2.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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  : 300s
% DateTime : Tue May 21 07:43:46 EDT 2024

% Result   : Unsatisfiable 0.50s 0.58s
% Output   : CNFRefutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   59 (  24 unt;   0 nHn;  48 RR)
%            Number of literals    :  121 (   0 equ;  67 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   88 (  36 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_093,axiom,
    ( q1(X1,X1,X1)
    | ~ q0(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_093) ).

cnf(rule_126,axiom,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).

cnf(rule_125,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).

cnf(rule_184,axiom,
    ( q2(X1,X1,X1)
    | ~ q1(X2,c,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_184) ).

cnf(axiom_33,axiom,
    q0(d,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_33) ).

cnf(axiom_17,axiom,
    q0(X1,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).

cnf(axiom_14,axiom,
    p0(b,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(rule_273,axiom,
    ( s3(X1,X2)
    | ~ q2(X3,X1,X3)
    | ~ s2(X1)
    | ~ m0(X3,X4,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_273) ).

cnf(rule_133,axiom,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ s1(X3)
    | ~ m0(X4,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).

cnf(prove_this,negated_conjecture,
    ~ s3(c,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(axiom_19,axiom,
    m0(X1,d,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(rule_189,axiom,
    ( s2(X1)
    | ~ q2(b,X1,b)
    | ~ s1(b) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_189) ).

cnf(rule_183,axiom,
    ( q2(X1,c,X2)
    | ~ k1(X2)
    | ~ l0(c)
    | ~ l2(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_183) ).

cnf(axiom_24,axiom,
    l0(c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).

cnf(rule_001,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).

cnf(axiom_7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).

cnf(c_0_16,plain,
    ( q1(X1,X1,X1)
    | ~ q0(X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_093]) ).

cnf(c_0_17,plain,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    inference(fof_simplification,[status(thm)],[rule_126]) ).

cnf(c_0_18,plain,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_125]) ).

cnf(c_0_19,plain,
    ( q2(X1,X1,X1)
    | ~ q1(X2,c,X1) ),
    inference(fof_simplification,[status(thm)],[rule_184]) ).

cnf(c_0_20,plain,
    ( q1(X1,X1,X1)
    | ~ q0(X2,X1) ),
    c_0_16 ).

cnf(c_0_21,axiom,
    q0(d,c),
    axiom_33 ).

cnf(c_0_22,plain,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    c_0_17 ).

cnf(c_0_23,axiom,
    q0(X1,d),
    axiom_17 ).

cnf(c_0_24,plain,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    c_0_18 ).

cnf(c_0_25,axiom,
    p0(b,X1),
    axiom_14 ).

cnf(c_0_26,plain,
    ( s3(X1,X2)
    | ~ q2(X3,X1,X3)
    | ~ s2(X1)
    | ~ m0(X3,X4,X2) ),
    inference(fof_simplification,[status(thm)],[rule_273]) ).

cnf(c_0_27,plain,
    ( q2(X1,X1,X1)
    | ~ q1(X2,c,X1) ),
    c_0_19 ).

cnf(c_0_28,plain,
    q1(c,c,c),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_29,plain,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ s1(X3)
    | ~ m0(X4,X3,X1) ),
    inference(fof_simplification,[status(thm)],[rule_133]) ).

cnf(c_0_30,plain,
    ( s1(X1)
    | ~ s1(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_31,plain,
    s1(b),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_32,plain,
    ( s3(X1,X2)
    | ~ q2(X3,X1,X3)
    | ~ s2(X1)
    | ~ m0(X3,X4,X2) ),
    c_0_26 ).

cnf(c_0_33,plain,
    q2(c,c,c),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_34,plain,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ s1(X3)
    | ~ m0(X4,X3,X1) ),
    c_0_29 ).

cnf(c_0_35,plain,
    s1(X1),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    ~ s3(c,c),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_37,plain,
    ( s3(c,X1)
    | ~ s2(c)
    | ~ m0(c,X2,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_38,axiom,
    m0(X1,d,X2),
    axiom_19 ).

cnf(c_0_39,plain,
    ( s2(X1)
    | ~ q2(b,X1,b)
    | ~ s1(b) ),
    inference(fof_simplification,[status(thm)],[rule_189]) ).

cnf(c_0_40,plain,
    ( q2(X1,c,X2)
    | ~ k1(X2)
    | ~ l0(c)
    | ~ l2(X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_183]) ).

cnf(c_0_41,plain,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ m0(X3,X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).

cnf(c_0_42,negated_conjecture,
    ~ s3(c,c),
    c_0_36 ).

cnf(c_0_43,plain,
    ( s3(c,X1)
    | ~ s2(c) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_44,plain,
    ( s2(X1)
    | ~ q2(b,X1,b)
    | ~ s1(b) ),
    c_0_39 ).

cnf(c_0_45,plain,
    ( q2(X1,c,X2)
    | ~ k1(X2)
    | ~ l0(c)
    | ~ l2(X2,X1) ),
    c_0_40 ).

cnf(c_0_46,axiom,
    l0(c),
    axiom_24 ).

cnf(c_0_47,plain,
    ( l2(X1,X1)
    | ~ p0(X2,X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_38]) ).

cnf(c_0_48,plain,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_001]) ).

cnf(c_0_49,negated_conjecture,
    ~ s2(c),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_50,plain,
    ( s2(X1)
    | ~ q2(b,X1,b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_31])]) ).

cnf(c_0_51,plain,
    ( q2(X1,c,X2)
    | ~ l2(X2,X1)
    | ~ k1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]) ).

cnf(c_0_52,plain,
    l2(X1,X1),
    inference(spm,[status(thm)],[c_0_47,c_0_25]) ).

cnf(c_0_53,plain,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    c_0_48 ).

cnf(c_0_54,axiom,
    n0(d,b),
    axiom_7 ).

cnf(c_0_55,negated_conjecture,
    ~ q2(b,c,b),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_56,plain,
    ( q2(X1,c,X1)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_57,plain,
    k1(b),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_58,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN207-1 : TPTP v8.2.0. Released v1.1.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon May 20 15:50:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/0.58  # Version: 3.1.0
% 0.50/0.58  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.50/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.58  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.50/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.50/0.58  # Starting new_bool_1 with 300s (1) cores
% 0.50/0.58  # Starting sh5l with 300s (1) cores
% 0.50/0.58  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 21150 completed with status 0
% 0.50/0.58  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.50/0.58  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.50/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.58  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.50/0.58  # No SInE strategy applied
% 0.50/0.58  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.50/0.58  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.50/0.58  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.50/0.58  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.50/0.58  # Starting new_bool_3 with 136s (1) cores
% 0.50/0.58  # Starting new_bool_1 with 136s (1) cores
% 0.50/0.58  # Starting sh5l with 136s (1) cores
% 0.50/0.58  # SAT001_MinMin_p005000_rr_RG with pid 21155 completed with status 0
% 0.50/0.58  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.50/0.58  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.50/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.58  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.50/0.58  # No SInE strategy applied
% 0.50/0.58  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.50/0.58  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.50/0.58  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.50/0.58  # Preprocessing time       : 0.003 s
% 0.50/0.58  # Presaturation interreduction done
% 0.50/0.58  
% 0.50/0.58  # Proof found!
% 0.50/0.58  # SZS status Unsatisfiable
% 0.50/0.58  # SZS output start CNFRefutation
% See solution above
% 0.50/0.58  # Parsed axioms                        : 369
% 0.50/0.58  # Removed by relevancy pruning/SinE    : 0
% 0.50/0.58  # Initial clauses                      : 369
% 0.50/0.58  # Removed in clause preprocessing      : 7
% 0.50/0.58  # Initial clauses in saturation        : 362
% 0.50/0.58  # Processed clauses                    : 1250
% 0.50/0.58  # ...of these trivial                  : 71
% 0.50/0.58  # ...subsumed                          : 71
% 0.50/0.58  # ...remaining for further processing  : 1108
% 0.50/0.58  # Other redundant clauses eliminated   : 0
% 0.50/0.58  # Clauses deleted for lack of memory   : 0
% 0.50/0.58  # Backward-subsumed                    : 70
% 0.50/0.58  # Backward-rewritten                   : 298
% 0.50/0.58  # Generated clauses                    : 1707
% 0.50/0.58  # ...of the previous two non-redundant : 1250
% 0.50/0.58  # ...aggressively subsumed             : 0
% 0.50/0.58  # Contextual simplify-reflections      : 2
% 0.50/0.58  # Paramodulations                      : 1707
% 0.50/0.58  # Factorizations                       : 0
% 0.50/0.58  # NegExts                              : 0
% 0.50/0.58  # Equation resolutions                 : 0
% 0.50/0.58  # Disequality decompositions           : 0
% 0.50/0.58  # Total rewrite steps                  : 1185
% 0.50/0.58  # ...of those cached                   : 850
% 0.50/0.58  # Propositional unsat checks           : 0
% 0.50/0.58  #    Propositional check models        : 0
% 0.50/0.58  #    Propositional check unsatisfiable : 0
% 0.50/0.58  #    Propositional clauses             : 0
% 0.50/0.58  #    Propositional clauses after purity: 0
% 0.50/0.58  #    Propositional unsat core size     : 0
% 0.50/0.58  #    Propositional preprocessing time  : 0.000
% 0.50/0.58  #    Propositional encoding time       : 0.000
% 0.50/0.58  #    Propositional solver time         : 0.000
% 0.50/0.58  #    Success case prop preproc time    : 0.000
% 0.50/0.58  #    Success case prop encoding time   : 0.000
% 0.50/0.58  #    Success case prop solver time     : 0.000
% 0.50/0.58  # Current number of processed clauses  : 412
% 0.50/0.58  #    Positive orientable unit clauses  : 203
% 0.50/0.58  #    Positive unorientable unit clauses: 0
% 0.50/0.58  #    Negative unit clauses             : 3
% 0.50/0.58  #    Non-unit-clauses                  : 206
% 0.50/0.58  # Current number of unprocessed clauses: 470
% 0.50/0.58  # ...number of literals in the above   : 1393
% 0.50/0.58  # Current number of archived formulas  : 0
% 0.50/0.58  # Current number of archived clauses   : 696
% 0.50/0.58  # Clause-clause subsumption calls (NU) : 56143
% 0.50/0.58  # Rec. Clause-clause subsumption calls : 40200
% 0.50/0.58  # Non-unit clause-clause subsumptions  : 113
% 0.50/0.58  # Unit Clause-clause subsumption calls : 4557
% 0.50/0.58  # Rewrite failures with RHS unbound    : 0
% 0.50/0.58  # BW rewrite match attempts            : 590
% 0.50/0.58  # BW rewrite match successes           : 193
% 0.50/0.58  # Condensation attempts                : 0
% 0.50/0.58  # Condensation successes               : 0
% 0.50/0.58  # Termbank termtop insertions          : 31531
% 0.50/0.58  # Search garbage collected termcells   : 1461
% 0.50/0.58  
% 0.50/0.58  # -------------------------------------------------
% 0.50/0.58  # User time                : 0.060 s
% 0.50/0.58  # System time              : 0.004 s
% 0.50/0.58  # Total time               : 0.064 s
% 0.50/0.58  # Maximum resident set size: 2636 pages
% 0.50/0.58  
% 0.50/0.58  # -------------------------------------------------
% 0.50/0.58  # User time                : 0.371 s
% 0.50/0.58  # System time              : 0.010 s
% 0.50/0.58  # Total time               : 0.382 s
% 0.50/0.58  # Maximum resident set size: 2020 pages
% 0.50/0.58  % E---3.1 exiting
% 0.50/0.59  % E exiting
%------------------------------------------------------------------------------