TSTP Solution File: SYN214-10 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN214-10 : TPTP v8.1.2. Released v7.5.0.
% 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 20:14:07 EDT 2023

% Result   : Unsatisfiable 0.66s 0.64s
% Output   : CNFRefutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   54 (  54 unt;   0 nHn;  18 RR)
%            Number of literals    :   54 (  53 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   6 con; 0-4 aty)
%            Number of variables   :   76 (  34 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_001,axiom,
    ifeq(n0(X1,X2),true,k1(X2),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',rule_001) ).

cnf(axiom_30,axiom,
    n0(e,e) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',axiom_30) ).

cnf(ifeq_axiom,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',ifeq_axiom) ).

cnf(rule_107,axiom,
    ifeq(m0(e,d,X1),true,ifeq(m0(X1,d,X1),true,q1(e,X1,X1),true),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',rule_107) ).

cnf(axiom_19,axiom,
    m0(X1,d,X2) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',axiom_19) ).

cnf(rule_159,axiom,
    ifeq(k1(X1),true,p2(X1,X1,X1),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',rule_159) ).

cnf(axiom_15,axiom,
    n0(a,b) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',axiom_15) ).

cnf(rule_165,axiom,
    ifeq(p2(X1,X1,X2),true,ifeq(q1(X1,X2,X1),true,p2(X3,X3,X3),true),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',rule_165) ).

cnf(rule_002,axiom,
    ifeq(n0(X1,X2),true,l1(X2,X2),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',rule_002) ).

cnf(rule_240,axiom,
    ifeq(p2(X1,X2,X3),true,n3(X3),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',rule_240) ).

cnf(rule_186,axiom,
    ifeq(l1(X1,X2),true,q2(X2,X2,X1),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',rule_186) ).

cnf(rule_248,axiom,
    ifeq(n3(X1),true,ifeq(p2(X2,X1,X1),true,p3(X1,X1,X1),true),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',rule_248) ).

cnf(rule_298,axiom,
    ifeq(q3(X1,X2),true,ifeq(n3(X3),true,ifeq(p0(X4,X3),true,r4(X3),true),true),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',rule_298) ).

cnf(axiom_18,axiom,
    p0(c,b) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',axiom_18) ).

cnf(rule_255,axiom,
    ifeq(q2(X1,X2,X3),true,ifeq(n0(X1,X2),true,q3(X2,X3),true),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',rule_255) ).

cnf(rule_277,axiom,
    ifeq(p3(X1,X2,X3),true,l4(X3),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',rule_277) ).

cnf(rule_329,axiom,
    ifeq(r4(X1),true,ifeq(l4(X2),true,s5(X2),true),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',rule_329) ).

cnf(prove_this,negated_conjecture,
    s5(c) != true,
    file('/export/starexec/sandbox2/tmp/tmp.4QusVKnWyf/E---3.1_23664.p',prove_this) ).

cnf(c_0_18,axiom,
    ifeq(n0(X1,X2),true,k1(X2),true) = true,
    rule_001 ).

cnf(c_0_19,axiom,
    n0(e,e) = true,
    axiom_30 ).

cnf(c_0_20,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    ifeq_axiom ).

cnf(c_0_21,axiom,
    ifeq(m0(e,d,X1),true,ifeq(m0(X1,d,X1),true,q1(e,X1,X1),true),true) = true,
    rule_107 ).

cnf(c_0_22,axiom,
    m0(X1,d,X2) = true,
    axiom_19 ).

cnf(c_0_23,axiom,
    ifeq(k1(X1),true,p2(X1,X1,X1),true) = true,
    rule_159 ).

cnf(c_0_24,plain,
    k1(e) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_25,axiom,
    n0(a,b) = true,
    axiom_15 ).

cnf(c_0_26,axiom,
    ifeq(p2(X1,X1,X2),true,ifeq(q1(X1,X2,X1),true,p2(X3,X3,X3),true),true) = true,
    rule_165 ).

cnf(c_0_27,plain,
    q1(e,X1,X1) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_22]),c_0_20]),c_0_20]) ).

cnf(c_0_28,plain,
    p2(e,e,e) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_20]) ).

cnf(c_0_29,plain,
    k1(b) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_25]),c_0_20]) ).

cnf(c_0_30,axiom,
    ifeq(n0(X1,X2),true,l1(X2,X2),true) = true,
    rule_002 ).

cnf(c_0_31,axiom,
    ifeq(p2(X1,X2,X3),true,n3(X3),true) = true,
    rule_240 ).

cnf(c_0_32,plain,
    p2(X1,X1,X1) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_20]),c_0_20]) ).

cnf(c_0_33,plain,
    p2(b,b,b) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_29]),c_0_20]) ).

cnf(c_0_34,axiom,
    ifeq(l1(X1,X2),true,q2(X2,X2,X1),true) = true,
    rule_186 ).

cnf(c_0_35,plain,
    l1(e,e) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_19]),c_0_20]) ).

cnf(c_0_36,axiom,
    ifeq(n3(X1),true,ifeq(p2(X2,X1,X1),true,p3(X1,X1,X1),true),true) = true,
    rule_248 ).

cnf(c_0_37,plain,
    n3(X1) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_20]) ).

cnf(c_0_38,axiom,
    ifeq(q3(X1,X2),true,ifeq(n3(X3),true,ifeq(p0(X4,X3),true,r4(X3),true),true),true) = true,
    rule_298 ).

cnf(c_0_39,axiom,
    p0(c,b) = true,
    axiom_18 ).

cnf(c_0_40,plain,
    n3(b) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_33]),c_0_20]) ).

cnf(c_0_41,axiom,
    ifeq(q2(X1,X2,X3),true,ifeq(n0(X1,X2),true,q3(X2,X3),true),true) = true,
    rule_255 ).

cnf(c_0_42,plain,
    q2(e,e,e) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_20]) ).

cnf(c_0_43,plain,
    ifeq(p2(X1,X2,X2),true,p3(X2,X2,X2),true) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_20]) ).

cnf(c_0_44,plain,
    ifeq(q3(X1,X2),true,r4(b),true) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_20]),c_0_20]) ).

cnf(c_0_45,plain,
    q3(e,e) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_19]),c_0_20]),c_0_20]) ).

cnf(c_0_46,axiom,
    ifeq(p3(X1,X2,X3),true,l4(X3),true) = true,
    rule_277 ).

cnf(c_0_47,plain,
    p3(X1,X1,X1) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_32]),c_0_20]) ).

cnf(c_0_48,axiom,
    ifeq(r4(X1),true,ifeq(l4(X2),true,s5(X2),true),true) = true,
    rule_329 ).

cnf(c_0_49,plain,
    r4(b) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_20]) ).

cnf(c_0_50,plain,
    l4(X1) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_20]) ).

cnf(c_0_51,negated_conjecture,
    s5(c) != true,
    prove_this ).

cnf(c_0_52,plain,
    s5(X1) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_20]),c_0_20]) ).

cnf(c_0_53,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : SYN214-10 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.16  % Command    : run_E %s %d THM
% 0.16/0.38  % Computer : n005.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 2400
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Mon Oct  2 18:28:01 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.23/0.56  Running first-order theorem proving
% 0.23/0.56  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/tmp/tmp.4QusVKnWyf/E---3.1_23664.p
% 0.66/0.64  # Version: 3.1pre001
% 0.66/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.66/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.66/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.66/0.64  # Starting new_bool_3 with 300s (1) cores
% 0.66/0.64  # Starting new_bool_1 with 300s (1) cores
% 0.66/0.64  # Starting sh5l with 300s (1) cores
% 0.66/0.64  # new_bool_3 with pid 23782 completed with status 0
% 0.66/0.64  # Result found by new_bool_3
% 0.66/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.66/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.66/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.66/0.64  # Starting new_bool_3 with 300s (1) cores
% 0.66/0.64  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.66/0.64  # Search class: FUUPM-FFLM31-MFFFFFNN
% 0.66/0.64  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.66/0.64  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.66/0.64  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 23787 completed with status 0
% 0.66/0.64  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.66/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.66/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.66/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.66/0.64  # Starting new_bool_3 with 300s (1) cores
% 0.66/0.64  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.66/0.64  # Search class: FUUPM-FFLM31-MFFFFFNN
% 0.66/0.64  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.66/0.64  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.66/0.64  # Preprocessing time       : 0.003 s
% 0.66/0.64  # Presaturation interreduction done
% 0.66/0.64  
% 0.66/0.64  # Proof found!
% 0.66/0.64  # SZS status Unsatisfiable
% 0.66/0.64  # SZS output start CNFRefutation
% See solution above
% 0.66/0.64  # Parsed axioms                        : 363
% 0.66/0.64  # Removed by relevancy pruning/SinE    : 53
% 0.66/0.64  # Initial clauses                      : 310
% 0.66/0.64  # Removed in clause preprocessing      : 0
% 0.66/0.64  # Initial clauses in saturation        : 310
% 0.66/0.64  # Processed clauses                    : 1101
% 0.66/0.64  # ...of these trivial                  : 254
% 0.66/0.64  # ...subsumed                          : 0
% 0.66/0.64  # ...remaining for further processing  : 847
% 0.66/0.64  # Other redundant clauses eliminated   : 0
% 0.66/0.64  # Clauses deleted for lack of memory   : 0
% 0.66/0.64  # Backward-subsumed                    : 0
% 0.66/0.64  # Backward-rewritten                   : 225
% 0.66/0.64  # Generated clauses                    : 2600
% 0.66/0.64  # ...of the previous two non-redundant : 1939
% 0.66/0.64  # ...aggressively subsumed             : 0
% 0.66/0.64  # Contextual simplify-reflections      : 0
% 0.66/0.64  # Paramodulations                      : 2600
% 0.66/0.64  # Factorizations                       : 0
% 0.66/0.64  # NegExts                              : 0
% 0.66/0.64  # Equation resolutions                 : 0
% 0.66/0.64  # Total rewrite steps                  : 4499
% 0.66/0.64  # Propositional unsat checks           : 0
% 0.66/0.64  #    Propositional check models        : 0
% 0.66/0.64  #    Propositional check unsatisfiable : 0
% 0.66/0.64  #    Propositional clauses             : 0
% 0.66/0.64  #    Propositional clauses after purity: 0
% 0.66/0.64  #    Propositional unsat core size     : 0
% 0.66/0.64  #    Propositional preprocessing time  : 0.000
% 0.66/0.64  #    Propositional encoding time       : 0.000
% 0.66/0.64  #    Propositional solver time         : 0.000
% 0.66/0.64  #    Success case prop preproc time    : 0.000
% 0.66/0.64  #    Success case prop encoding time   : 0.000
% 0.66/0.64  #    Success case prop solver time     : 0.000
% 0.66/0.64  # Current number of processed clauses  : 330
% 0.66/0.64  #    Positive orientable unit clauses  : 330
% 0.66/0.64  #    Positive unorientable unit clauses: 0
% 0.66/0.64  #    Negative unit clauses             : 0
% 0.66/0.64  #    Non-unit-clauses                  : 0
% 0.66/0.64  # Current number of unprocessed clauses: 1175
% 0.66/0.64  # ...number of literals in the above   : 1175
% 0.66/0.64  # Current number of archived formulas  : 0
% 0.66/0.64  # Current number of archived clauses   : 517
% 0.66/0.64  # Clause-clause subsumption calls (NU) : 0
% 0.66/0.64  # Rec. Clause-clause subsumption calls : 0
% 0.66/0.64  # Non-unit clause-clause subsumptions  : 0
% 0.66/0.64  # Unit Clause-clause subsumption calls : 0
% 0.66/0.64  # Rewrite failures with RHS unbound    : 0
% 0.66/0.64  # BW rewrite match attempts            : 2828
% 0.66/0.64  # BW rewrite match successes           : 199
% 0.66/0.64  # Condensation attempts                : 0
% 0.66/0.64  # Condensation successes               : 0
% 0.66/0.64  # Termbank termtop insertions          : 53432
% 0.66/0.64  
% 0.66/0.64  # -------------------------------------------------
% 0.66/0.64  # User time                : 0.043 s
% 0.66/0.64  # System time              : 0.010 s
% 0.66/0.64  # Total time               : 0.053 s
% 0.66/0.64  # Maximum resident set size: 2220 pages
% 0.66/0.64  
% 0.66/0.64  # -------------------------------------------------
% 0.66/0.64  # User time                : 0.051 s
% 0.66/0.64  # System time              : 0.013 s
% 0.66/0.64  # Total time               : 0.064 s
% 0.66/0.64  # Maximum resident set size: 1976 pages
% 0.66/0.64  % E---3.1 exiting
% 0.66/0.64  % E---3.1 exiting
%------------------------------------------------------------------------------