TSTP Solution File: SYN160-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN160-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 : Sat May  4 10:06:37 EDT 2024

% Result   : Unsatisfiable 0.61s 0.59s
% Output   : CNFRefutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   75 (  28 unt;   0 nHn;  57 RR)
%            Number of literals    :  163 (   0 equ;  91 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   18 (  17 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :  119 (  53 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_126,axiom,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',rule_126) ).

cnf(rule_125,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',rule_125) ).

cnf(axiom_17,axiom,
    q0(X1,d),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',axiom_17) ).

cnf(axiom_14,axiom,
    p0(b,X1),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',axiom_14) ).

cnf(rule_029,axiom,
    ( m1(X1,X2,X1)
    | ~ p0(X1,X2)
    | ~ s0(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',rule_029) ).

cnf(rule_133,axiom,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ s1(X3)
    | ~ m0(X4,X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',rule_133) ).

cnf(rule_176,axiom,
    ( p2(X1,X2,X1)
    | ~ m1(X2,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',rule_176) ).

cnf(axiom_5,axiom,
    s0(b),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',axiom_5) ).

cnf(rule_240,axiom,
    ( n3(X1)
    | ~ p2(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',rule_240) ).

cnf(rule_258,axiom,
    ( q3(X1,X1)
    | ~ r2(X1)
    | ~ s1(X2)
    | ~ l2(X3,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',rule_258) ).

cnf(axiom_19,axiom,
    m0(X1,d,X2),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',axiom_19) ).

cnf(rule_298,axiom,
    ( r4(X1)
    | ~ n3(X1)
    | ~ q3(X2,X3)
    | ~ p0(X4,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',rule_298) ).

cnf(rule_124,axiom,
    ( r1(X1)
    | ~ q0(X1,X2)
    | ~ s0(d)
    | ~ q1(d,X2,d) ),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',rule_124) ).

cnf(rule_117,axiom,
    ( q1(d,d,d)
    | ~ k0(e)
    | ~ s0(d) ),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',rule_117) ).

cnf(axiom_1,axiom,
    s0(d),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',axiom_1) ).

cnf(axiom_28,axiom,
    k0(e),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',axiom_28) ).

cnf(rule_188,axiom,
    ( r2(X1)
    | ~ r1(X1)
    | ~ l0(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',rule_188) ).

cnf(rule_314,axiom,
    ( n5(X1,X1)
    | ~ r4(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',rule_314) ).

cnf(axiom_24,axiom,
    l0(c),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',axiom_24) ).

cnf(prove_this,negated_conjecture,
    ~ n5(b,b),
    file('/export/starexec/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p',prove_this) ).

cnf(c_0_20,plain,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    inference(fof_simplification,[status(thm)],[rule_126]) ).

cnf(c_0_21,plain,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_125]) ).

cnf(c_0_22,plain,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    c_0_20 ).

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

cnf(c_0_24,plain,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    c_0_21 ).

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

cnf(c_0_26,plain,
    ( m1(X1,X2,X1)
    | ~ p0(X1,X2)
    | ~ s0(X1) ),
    inference(fof_simplification,[status(thm)],[rule_029]) ).

cnf(c_0_27,plain,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ s1(X3)
    | ~ m0(X4,X3,X1) ),
    inference(fof_simplification,[status(thm)],[rule_133]) ).

cnf(c_0_28,plain,
    ( s1(X1)
    | ~ s1(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,plain,
    s1(b),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,plain,
    ( p2(X1,X2,X1)
    | ~ m1(X2,X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_176]) ).

cnf(c_0_31,plain,
    ( m1(X1,X2,X1)
    | ~ p0(X1,X2)
    | ~ s0(X1) ),
    c_0_26 ).

cnf(c_0_32,axiom,
    s0(b),
    axiom_5 ).

cnf(c_0_33,plain,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ s1(X3)
    | ~ m0(X4,X3,X1) ),
    c_0_27 ).

cnf(c_0_34,plain,
    s1(X1),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,plain,
    ( n3(X1)
    | ~ p2(X2,X3,X1) ),
    inference(fof_simplification,[status(thm)],[rule_240]) ).

cnf(c_0_36,plain,
    ( p2(X1,X2,X1)
    | ~ m1(X2,X1,X2) ),
    c_0_30 ).

cnf(c_0_37,plain,
    m1(b,X1,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25]),c_0_32])]) ).

cnf(c_0_38,plain,
    ( q3(X1,X1)
    | ~ r2(X1)
    | ~ s1(X2)
    | ~ l2(X3,X3) ),
    inference(fof_simplification,[status(thm)],[rule_258]) ).

cnf(c_0_39,plain,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ m0(X3,X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).

cnf(c_0_40,axiom,
    m0(X1,d,X2),
    axiom_19 ).

cnf(c_0_41,plain,
    ( r4(X1)
    | ~ n3(X1)
    | ~ q3(X2,X3)
    | ~ p0(X4,X1) ),
    inference(fof_simplification,[status(thm)],[rule_298]) ).

cnf(c_0_42,plain,
    ( n3(X1)
    | ~ p2(X2,X3,X1) ),
    c_0_35 ).

cnf(c_0_43,plain,
    p2(X1,b,X1),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_44,plain,
    ( q3(X1,X1)
    | ~ r2(X1)
    | ~ s1(X2)
    | ~ l2(X3,X3) ),
    c_0_38 ).

cnf(c_0_45,plain,
    ( l2(X1,X1)
    | ~ p0(X2,X2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_46,plain,
    ( r1(X1)
    | ~ q0(X1,X2)
    | ~ s0(d)
    | ~ q1(d,X2,d) ),
    inference(fof_simplification,[status(thm)],[rule_124]) ).

cnf(c_0_47,plain,
    ( q1(d,d,d)
    | ~ k0(e)
    | ~ s0(d) ),
    inference(fof_simplification,[status(thm)],[rule_117]) ).

cnf(c_0_48,plain,
    ( r4(X1)
    | ~ n3(X1)
    | ~ q3(X2,X3)
    | ~ p0(X4,X1) ),
    c_0_41 ).

cnf(c_0_49,plain,
    n3(X1),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_50,plain,
    ( q3(X1,X1)
    | ~ r2(X1)
    | ~ l2(X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_34])]) ).

cnf(c_0_51,plain,
    l2(X1,X1),
    inference(spm,[status(thm)],[c_0_45,c_0_25]) ).

cnf(c_0_52,plain,
    ( r1(X1)
    | ~ q0(X1,X2)
    | ~ s0(d)
    | ~ q1(d,X2,d) ),
    c_0_46 ).

cnf(c_0_53,axiom,
    s0(d),
    axiom_1 ).

cnf(c_0_54,plain,
    ( q1(d,d,d)
    | ~ k0(e)
    | ~ s0(d) ),
    c_0_47 ).

cnf(c_0_55,axiom,
    k0(e),
    axiom_28 ).

cnf(c_0_56,plain,
    ( r4(X1)
    | ~ q3(X2,X3)
    | ~ p0(X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]) ).

cnf(c_0_57,plain,
    ( q3(X1,X1)
    | ~ r2(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]) ).

cnf(c_0_58,plain,
    ( r2(X1)
    | ~ r1(X1)
    | ~ l0(X1) ),
    inference(fof_simplification,[status(thm)],[rule_188]) ).

cnf(c_0_59,plain,
    ( r1(X1)
    | ~ q1(d,X2,d)
    | ~ q0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).

cnf(c_0_60,plain,
    q1(d,d,d),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_53]),c_0_55])]) ).

cnf(c_0_61,plain,
    ( r4(X1)
    | ~ r2(X2)
    | ~ p0(X3,X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_62,plain,
    ( r2(X1)
    | ~ r1(X1)
    | ~ l0(X1) ),
    c_0_58 ).

cnf(c_0_63,plain,
    r1(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_23]),c_0_60])]) ).

cnf(c_0_64,plain,
    ( r4(X1)
    | ~ r2(X2) ),
    inference(spm,[status(thm)],[c_0_61,c_0_25]) ).

cnf(c_0_65,plain,
    ( r2(X1)
    | ~ l0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).

cnf(c_0_66,plain,
    ( n5(X1,X1)
    | ~ r4(X1) ),
    inference(fof_simplification,[status(thm)],[rule_314]) ).

cnf(c_0_67,plain,
    ( r4(X1)
    | ~ l0(X2) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_68,axiom,
    l0(c),
    axiom_24 ).

cnf(c_0_69,negated_conjecture,
    ~ n5(b,b),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_70,plain,
    ( n5(X1,X1)
    | ~ r4(X1) ),
    c_0_66 ).

cnf(c_0_71,plain,
    r4(X1),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_72,negated_conjecture,
    ~ n5(b,b),
    c_0_69 ).

cnf(c_0_73,plain,
    n5(X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]) ).

cnf(c_0_74,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem    : SYN160-1 : TPTP v8.1.2. Released v1.1.0.
% 0.14/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 11:06:02 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.22/0.52  Running first-order theorem proving
% 0.22/0.52  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.U4L12hsAMc/E---3.1_30806.p
% 0.61/0.59  # Version: 3.1.0
% 0.61/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.61/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.61/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.61/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.61/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.61/0.59  # Starting sh5l with 300s (1) cores
% 0.61/0.59  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 30888 completed with status 0
% 0.61/0.59  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.61/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.61/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.61/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.61/0.59  # No SInE strategy applied
% 0.61/0.59  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.61/0.59  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.61/0.59  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.61/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.61/0.59  # Starting new_bool_3 with 136s (1) cores
% 0.61/0.59  # Starting new_bool_1 with 136s (1) cores
% 0.61/0.59  # Starting sh5l with 136s (1) cores
% 0.61/0.59  # SAT001_MinMin_p005000_rr_RG with pid 30893 completed with status 0
% 0.61/0.59  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.61/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.61/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.61/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.61/0.59  # No SInE strategy applied
% 0.61/0.59  # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.61/0.59  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.61/0.59  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.61/0.59  # Preprocessing time       : 0.003 s
% 0.61/0.59  # Presaturation interreduction done
% 0.61/0.59  
% 0.61/0.59  # Proof found!
% 0.61/0.59  # SZS status Unsatisfiable
% 0.61/0.59  # SZS output start CNFRefutation
% See solution above
% 0.61/0.59  # Parsed axioms                        : 369
% 0.61/0.59  # Removed by relevancy pruning/SinE    : 0
% 0.61/0.59  # Initial clauses                      : 369
% 0.61/0.59  # Removed in clause preprocessing      : 7
% 0.61/0.59  # Initial clauses in saturation        : 362
% 0.61/0.59  # Processed clauses                    : 971
% 0.61/0.59  # ...of these trivial                  : 25
% 0.61/0.59  # ...subsumed                          : 33
% 0.61/0.59  # ...remaining for further processing  : 913
% 0.61/0.59  # Other redundant clauses eliminated   : 0
% 0.61/0.59  # Clauses deleted for lack of memory   : 0
% 0.61/0.59  # Backward-subsumed                    : 31
% 0.61/0.59  # Backward-rewritten                   : 178
% 0.61/0.59  # Generated clauses                    : 1194
% 0.61/0.59  # ...of the previous two non-redundant : 838
% 0.61/0.59  # ...aggressively subsumed             : 0
% 0.61/0.59  # Contextual simplify-reflections      : 2
% 0.61/0.59  # Paramodulations                      : 1194
% 0.61/0.59  # Factorizations                       : 0
% 0.61/0.59  # NegExts                              : 0
% 0.61/0.59  # Equation resolutions                 : 0
% 0.61/0.59  # Disequality decompositions           : 0
% 0.61/0.59  # Total rewrite steps                  : 865
% 0.61/0.59  # ...of those cached                   : 625
% 0.61/0.59  # Propositional unsat checks           : 0
% 0.61/0.59  #    Propositional check models        : 0
% 0.61/0.59  #    Propositional check unsatisfiable : 0
% 0.61/0.59  #    Propositional clauses             : 0
% 0.61/0.59  #    Propositional clauses after purity: 0
% 0.61/0.59  #    Propositional unsat core size     : 0
% 0.61/0.59  #    Propositional preprocessing time  : 0.000
% 0.61/0.59  #    Propositional encoding time       : 0.000
% 0.61/0.59  #    Propositional solver time         : 0.000
% 0.61/0.59  #    Success case prop preproc time    : 0.000
% 0.61/0.59  #    Success case prop encoding time   : 0.000
% 0.61/0.59  #    Success case prop solver time     : 0.000
% 0.61/0.59  # Current number of processed clauses  : 376
% 0.61/0.59  #    Positive orientable unit clauses  : 158
% 0.61/0.59  #    Positive unorientable unit clauses: 0
% 0.61/0.59  #    Negative unit clauses             : 1
% 0.61/0.59  #    Non-unit-clauses                  : 217
% 0.61/0.59  # Current number of unprocessed clauses: 513
% 0.61/0.59  # ...number of literals in the above   : 1270
% 0.61/0.59  # Current number of archived formulas  : 0
% 0.61/0.59  # Current number of archived clauses   : 537
% 0.61/0.59  # Clause-clause subsumption calls (NU) : 49595
% 0.61/0.59  # Rec. Clause-clause subsumption calls : 34743
% 0.61/0.59  # Non-unit clause-clause subsumptions  : 54
% 0.61/0.59  # Unit Clause-clause subsumption calls : 2269
% 0.61/0.59  # Rewrite failures with RHS unbound    : 0
% 0.61/0.59  # BW rewrite match attempts            : 294
% 0.61/0.59  # BW rewrite match successes           : 117
% 0.61/0.59  # Condensation attempts                : 0
% 0.61/0.59  # Condensation successes               : 0
% 0.61/0.59  # Termbank termtop insertions          : 26394
% 0.61/0.59  # Search garbage collected termcells   : 1461
% 0.61/0.59  
% 0.61/0.59  # -------------------------------------------------
% 0.61/0.59  # User time                : 0.047 s
% 0.61/0.59  # System time              : 0.012 s
% 0.61/0.59  # Total time               : 0.059 s
% 0.61/0.59  # Maximum resident set size: 2640 pages
% 0.61/0.59  
% 0.61/0.59  # -------------------------------------------------
% 0.61/0.59  # User time                : 0.225 s
% 0.61/0.59  # System time              : 0.025 s
% 0.61/0.59  # Total time               : 0.250 s
% 0.61/0.59  # Maximum resident set size: 2012 pages
% 0.61/0.59  % E---3.1 exiting
% 0.61/0.59  % E exiting
%------------------------------------------------------------------------------