TSTP Solution File: SYN116-10 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN116-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 20:13:50 EDT 2023

% Result   : Unsatisfiable 0.85s 0.64s
% Output   : CNFRefutation 0.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   45 (  45 unt;   0 nHn;  12 RR)
%            Number of literals    :   45 (  44 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;   5 con; 0-4 aty)
%            Number of variables   :   67 (  29 sgn)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',rule_107) ).

cnf(axiom_19,axiom,
    m0(X1,d,X2) = true,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',axiom_19) ).

cnf(ifeq_axiom,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',ifeq_axiom) ).

cnf(rule_129,axiom,
    ifeq(q1(X1,X2,X2),true,k2(X2,X2),true) = true,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',rule_129) ).

cnf(rule_029,axiom,
    ifeq(p0(X1,X2),true,ifeq(s0(X1),true,m1(X1,X2,X1),true),true) = true,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',rule_029) ).

cnf(axiom_5,axiom,
    s0(b) = true,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',axiom_5) ).

cnf(axiom_14,axiom,
    p0(b,X1) = true,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',axiom_14) ).

cnf(rule_252,axiom,
    ifeq(k2(X1,X1),true,ifeq(q0(X2,X3),true,p3(X3,X3,X3),true),true) = true,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',rule_252) ).

cnf(rule_176,axiom,
    ifeq(m1(X1,X2,X1),true,p2(X2,X1,X2),true) = true,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',rule_176) ).

cnf(axiom_6,axiom,
    q0(b,b) = true,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',axiom_6) ).

cnf(rule_267,axiom,
    ifeq(p2(X1,X2,X3),true,r3(X1,X3,X1),true) = true,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',rule_267) ).

cnf(rule_299,axiom,
    ifeq(p3(X1,X2,X3),true,ifeq(l1(X4,X2),true,s4(X4),true),true) = true,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',rule_299) ).

cnf(rule_002,axiom,
    ifeq(n0(X1,X2),true,l1(X2,X2),true) = true,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',rule_002) ).

cnf(axiom_15,axiom,
    n0(a,b) = true,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',axiom_15) ).

cnf(rule_300,axiom,
    ifeq(s4(X1),true,ifeq(r3(X2,X3,X3),true,k5(X3),true),true) = true,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',rule_300) ).

cnf(prove_this,negated_conjecture,
    k5(b) != true,
    file('/export/starexec/sandbox/tmp/tmp.yNEGtWgDGN/E---3.1_3381.p',prove_this) ).

cnf(c_0_16,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_17,axiom,
    m0(X1,d,X2) = true,
    axiom_19 ).

cnf(c_0_18,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    ifeq_axiom ).

cnf(c_0_19,axiom,
    ifeq(q1(X1,X2,X2),true,k2(X2,X2),true) = true,
    rule_129 ).

cnf(c_0_20,plain,
    q1(e,X1,X1) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]),c_0_18]),c_0_18]) ).

cnf(c_0_21,axiom,
    ifeq(p0(X1,X2),true,ifeq(s0(X1),true,m1(X1,X2,X1),true),true) = true,
    rule_029 ).

cnf(c_0_22,axiom,
    s0(b) = true,
    axiom_5 ).

cnf(c_0_23,axiom,
    p0(b,X1) = true,
    axiom_14 ).

cnf(c_0_24,axiom,
    ifeq(k2(X1,X1),true,ifeq(q0(X2,X3),true,p3(X3,X3,X3),true),true) = true,
    rule_252 ).

cnf(c_0_25,plain,
    k2(X1,X1) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_18]) ).

cnf(c_0_26,axiom,
    ifeq(m1(X1,X2,X1),true,p2(X2,X1,X2),true) = true,
    rule_176 ).

cnf(c_0_27,plain,
    m1(b,X1,b) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_18]),c_0_18]) ).

cnf(c_0_28,plain,
    ifeq(q0(X1,X2),true,p3(X2,X2,X2),true) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_18]) ).

cnf(c_0_29,axiom,
    q0(b,b) = true,
    axiom_6 ).

cnf(c_0_30,axiom,
    ifeq(p2(X1,X2,X3),true,r3(X1,X3,X1),true) = true,
    rule_267 ).

cnf(c_0_31,plain,
    p2(X1,b,X1) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_18]) ).

cnf(c_0_32,axiom,
    ifeq(p3(X1,X2,X3),true,ifeq(l1(X4,X2),true,s4(X4),true),true) = true,
    rule_299 ).

cnf(c_0_33,plain,
    p3(b,b,b) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_18]) ).

cnf(c_0_34,axiom,
    ifeq(n0(X1,X2),true,l1(X2,X2),true) = true,
    rule_002 ).

cnf(c_0_35,axiom,
    n0(a,b) = true,
    axiom_15 ).

cnf(c_0_36,axiom,
    ifeq(s4(X1),true,ifeq(r3(X2,X3,X3),true,k5(X3),true),true) = true,
    rule_300 ).

cnf(c_0_37,plain,
    r3(X1,X1,X1) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_18]) ).

cnf(c_0_38,plain,
    ifeq(l1(X1,b),true,s4(X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_18]) ).

cnf(c_0_39,plain,
    l1(b,b) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_18]) ).

cnf(c_0_40,plain,
    ifeq(s4(X1),true,k5(X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_18]) ).

cnf(c_0_41,plain,
    s4(b) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_18]) ).

cnf(c_0_42,negated_conjecture,
    k5(b) != true,
    prove_this ).

cnf(c_0_43,plain,
    k5(X1) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_18]) ).

cnf(c_0_44,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.15  % Problem    : SYN116-10 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.16  % Command    : run_E %s %d THM
% 0.17/0.37  % Computer : n008.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit   : 2400
% 0.17/0.37  % WCLimit    : 300
% 0.17/0.37  % DateTime   : Mon Oct  2 18:22:43 EDT 2023
% 0.17/0.38  % CPUTime    : 
% 0.24/0.53  Running first-order theorem proving
% 0.24/0.53  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.yNEGtWgDGN/E---3.1_3381.p
% 0.85/0.64  # Version: 3.1pre001
% 0.85/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.85/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.85/0.64  # Starting new_bool_3 with 300s (1) cores
% 0.85/0.64  # Starting new_bool_1 with 300s (1) cores
% 0.85/0.64  # Starting sh5l with 300s (1) cores
% 0.85/0.64  # new_bool_3 with pid 3534 completed with status 0
% 0.85/0.64  # Result found by new_bool_3
% 0.85/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.85/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.85/0.64  # Starting new_bool_3 with 300s (1) cores
% 0.85/0.64  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.85/0.64  # Search class: FUUPM-FFLM31-MFFFFFNN
% 0.85/0.64  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.85/0.64  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.85/0.64  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3543 completed with status 0
% 0.85/0.64  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.85/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.85/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.85/0.64  # Starting new_bool_3 with 300s (1) cores
% 0.85/0.64  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.85/0.64  # Search class: FUUPM-FFLM31-MFFFFFNN
% 0.85/0.64  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.85/0.64  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.85/0.64  # Preprocessing time       : 0.005 s
% 0.85/0.64  # Presaturation interreduction done
% 0.85/0.64  
% 0.85/0.64  # Proof found!
% 0.85/0.64  # SZS status Unsatisfiable
% 0.85/0.64  # SZS output start CNFRefutation
% See solution above
% 0.85/0.64  # Parsed axioms                        : 363
% 0.85/0.64  # Removed by relevancy pruning/SinE    : 37
% 0.85/0.64  # Initial clauses                      : 326
% 0.85/0.64  # Removed in clause preprocessing      : 0
% 0.85/0.64  # Initial clauses in saturation        : 326
% 0.85/0.64  # Processed clauses                    : 1059
% 0.85/0.64  # ...of these trivial                  : 235
% 0.85/0.64  # ...subsumed                          : 0
% 0.85/0.64  # ...remaining for further processing  : 824
% 0.85/0.64  # Other redundant clauses eliminated   : 0
% 0.85/0.64  # Clauses deleted for lack of memory   : 0
% 0.85/0.64  # Backward-subsumed                    : 0
% 0.85/0.64  # Backward-rewritten                   : 163
% 0.85/0.64  # Generated clauses                    : 2436
% 0.85/0.64  # ...of the previous two non-redundant : 1744
% 0.85/0.64  # ...aggressively subsumed             : 0
% 0.85/0.64  # Contextual simplify-reflections      : 0
% 0.85/0.64  # Paramodulations                      : 2436
% 0.85/0.64  # Factorizations                       : 0
% 0.85/0.64  # NegExts                              : 0
% 0.85/0.64  # Equation resolutions                 : 0
% 0.85/0.64  # Total rewrite steps                  : 4303
% 0.85/0.64  # Propositional unsat checks           : 0
% 0.85/0.64  #    Propositional check models        : 0
% 0.85/0.64  #    Propositional check unsatisfiable : 0
% 0.85/0.64  #    Propositional clauses             : 0
% 0.85/0.64  #    Propositional clauses after purity: 0
% 0.85/0.64  #    Propositional unsat core size     : 0
% 0.85/0.64  #    Propositional preprocessing time  : 0.000
% 0.85/0.64  #    Propositional encoding time       : 0.000
% 0.85/0.64  #    Propositional solver time         : 0.000
% 0.85/0.64  #    Success case prop preproc time    : 0.000
% 0.85/0.64  #    Success case prop encoding time   : 0.000
% 0.85/0.64  #    Success case prop solver time     : 0.000
% 0.85/0.64  # Current number of processed clauses  : 353
% 0.85/0.64  #    Positive orientable unit clauses  : 353
% 0.85/0.64  #    Positive unorientable unit clauses: 0
% 0.85/0.64  #    Negative unit clauses             : 0
% 0.85/0.64  #    Non-unit-clauses                  : 0
% 0.85/0.64  # Current number of unprocessed clauses: 1124
% 0.85/0.64  # ...number of literals in the above   : 1124
% 0.85/0.64  # Current number of archived formulas  : 0
% 0.85/0.64  # Current number of archived clauses   : 471
% 0.85/0.64  # Clause-clause subsumption calls (NU) : 0
% 0.85/0.64  # Rec. Clause-clause subsumption calls : 0
% 0.85/0.64  # Non-unit clause-clause subsumptions  : 0
% 0.85/0.64  # Unit Clause-clause subsumption calls : 0
% 0.85/0.64  # Rewrite failures with RHS unbound    : 0
% 0.85/0.64  # BW rewrite match attempts            : 2880
% 0.85/0.64  # BW rewrite match successes           : 140
% 0.85/0.64  # Condensation attempts                : 0
% 0.85/0.64  # Condensation successes               : 0
% 0.85/0.64  # Termbank termtop insertions          : 50660
% 0.85/0.64  
% 0.85/0.64  # -------------------------------------------------
% 0.85/0.64  # User time                : 0.080 s
% 0.85/0.64  # System time              : 0.009 s
% 0.85/0.64  # Total time               : 0.089 s
% 0.85/0.64  # Maximum resident set size: 2232 pages
% 0.85/0.64  
% 0.85/0.64  # -------------------------------------------------
% 0.85/0.64  # User time                : 0.088 s
% 0.85/0.64  # System time              : 0.011 s
% 0.85/0.64  # Total time               : 0.099 s
% 0.85/0.64  # Maximum resident set size: 1972 pages
% 0.85/0.64  % E---3.1 exiting
% 0.85/0.64  % E---3.1 exiting
%------------------------------------------------------------------------------