TSTP Solution File: LCL203-10 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : LCL203-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 18:11:57 EDT 2023

% Result   : Unsatisfiable 1.45s 0.64s
% Output   : CNFRefutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   42 (  42 unt;   0 nHn;   4 RR)
%            Number of literals    :   42 (  41 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-4 aty)
%            Number of variables   :   87 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_3,axiom,
    axiom(implies(X1,or(X2,X1))) = true,
    file('/export/starexec/sandbox2/tmp/tmp.RIPG69fFQf/E---3.1_13743.p',axiom_1_3) ).

cnf(implies_definition,axiom,
    implies(X1,X2) = or(not(X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.RIPG69fFQf/E---3.1_13743.p',implies_definition) ).

cnf(rule_2,axiom,
    ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.RIPG69fFQf/E---3.1_13743.p',rule_2) ).

cnf(rule_1,axiom,
    ifeq(axiom(X1),true,theorem(X1),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.RIPG69fFQf/E---3.1_13743.p',rule_1) ).

cnf(ifeq_axiom,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.RIPG69fFQf/E---3.1_13743.p',ifeq_axiom) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) = true,
    file('/export/starexec/sandbox2/tmp/tmp.RIPG69fFQf/E---3.1_13743.p',axiom_1_5) ).

cnf(axiom_1_4,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))) = true,
    file('/export/starexec/sandbox2/tmp/tmp.RIPG69fFQf/E---3.1_13743.p',axiom_1_4) ).

cnf(axiom_1_6,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) = true,
    file('/export/starexec/sandbox2/tmp/tmp.RIPG69fFQf/E---3.1_13743.p',axiom_1_6) ).

cnf(prove_this,negated_conjecture,
    theorem(implies(not(or(p,q)),or(not(p),not(q)))) != true,
    file('/export/starexec/sandbox2/tmp/tmp.RIPG69fFQf/E---3.1_13743.p',prove_this) ).

cnf(c_0_9,axiom,
    axiom(implies(X1,or(X2,X1))) = true,
    axiom_1_3 ).

cnf(c_0_10,axiom,
    implies(X1,X2) = or(not(X1),X2),
    implies_definition ).

cnf(c_0_11,axiom,
    ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) = true,
    rule_2 ).

cnf(c_0_12,axiom,
    ifeq(axiom(X1),true,theorem(X1),true) = true,
    rule_1 ).

cnf(c_0_13,plain,
    axiom(or(not(X1),or(X2,X1))) = true,
    inference(rw,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    ifeq_axiom ).

cnf(c_0_15,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) = true,
    axiom_1_5 ).

cnf(c_0_16,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))) = true,
    axiom_1_4 ).

cnf(c_0_17,plain,
    ifeq(theorem(or(not(X1),X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) = true,
    inference(rw,[status(thm)],[c_0_11,c_0_10]) ).

cnf(c_0_18,plain,
    theorem(or(not(X1),or(X2,X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).

cnf(c_0_19,plain,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))) = true,
    inference(rw,[status(thm)],[c_0_15,c_0_10]) ).

cnf(c_0_20,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) = true,
    axiom_1_6 ).

cnf(c_0_21,plain,
    axiom(or(not(or(X1,X2)),or(X2,X1))) = true,
    inference(rw,[status(thm)],[c_0_16,c_0_10]) ).

cnf(c_0_22,plain,
    ifeq(theorem(or(not(or(not(X1),or(X2,X1))),X3)),true,theorem(X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_14]) ).

cnf(c_0_23,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_19]),c_0_14]) ).

cnf(c_0_24,plain,
    axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_10]),c_0_10]),c_0_10]) ).

cnf(c_0_25,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_21]),c_0_14]) ).

cnf(c_0_26,plain,
    theorem(or(X1,or(not(X2),X2))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_14]) ).

cnf(c_0_27,plain,
    theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_24]),c_0_14]) ).

cnf(c_0_28,plain,
    ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_25]),c_0_14]) ).

cnf(c_0_29,plain,
    theorem(or(not(X1),X1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_26]),c_0_14]) ).

cnf(c_0_30,plain,
    ifeq(theorem(or(not(X1),X2)),true,theorem(or(not(or(X3,X1)),or(X3,X2))),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_27]),c_0_14]) ).

cnf(c_0_31,plain,
    theorem(or(X1,not(X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_14]) ).

cnf(c_0_32,plain,
    theorem(or(not(or(X1,X2)),or(X1,not(not(X2))))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_14]) ).

cnf(c_0_33,plain,
    theorem(or(not(X1),not(not(or(X2,X1))))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_32]),c_0_14]) ).

cnf(c_0_34,plain,
    ifeq(theorem(X1),true,theorem(or(X2,X1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_14]) ).

cnf(c_0_35,plain,
    theorem(or(not(not(or(X1,X2))),not(X2))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_33]),c_0_14]) ).

cnf(c_0_36,negated_conjecture,
    theorem(implies(not(or(p,q)),or(not(p),not(q)))) != true,
    prove_this ).

cnf(c_0_37,plain,
    ifeq(theorem(or(X1,or(X2,X3))),true,theorem(or(X2,or(X1,X3))),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_23]),c_0_14]) ).

cnf(c_0_38,plain,
    theorem(or(X1,or(not(not(or(X2,X3))),not(X3)))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_14]) ).

cnf(c_0_39,negated_conjecture,
    theorem(or(not(not(or(p,q))),or(not(p),not(q)))) != true,
    inference(rw,[status(thm)],[c_0_36,c_0_10]) ).

cnf(c_0_40,plain,
    theorem(or(not(not(or(X1,X2))),or(X3,not(X2)))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_14]) ).

cnf(c_0_41,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : LCL203-10 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 12:53:36 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  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.RIPG69fFQf/E---3.1_13743.p
% 1.45/0.64  # Version: 3.1pre001
% 1.45/0.64  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.45/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.45/0.64  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.45/0.64  # Starting new_bool_3 with 300s (1) cores
% 1.45/0.64  # Starting new_bool_1 with 300s (1) cores
% 1.45/0.64  # Starting sh5l with 300s (1) cores
% 1.45/0.64  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 13876 completed with status 0
% 1.45/0.64  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 1.45/0.64  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.45/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.45/0.64  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.45/0.64  # No SInE strategy applied
% 1.45/0.64  # Search class: FUUPM-FFSF31-MFFFFFNN
% 1.45/0.64  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 1.45/0.64  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 500s (1) cores
% 1.45/0.64  # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 251s (1) cores
% 1.45/0.64  # Starting new_bool_3 with 251s (1) cores
% 1.45/0.64  # Starting new_bool_1 with 251s (1) cores
% 1.45/0.64  # Starting sh5l with 247s (1) cores
% 1.45/0.64  # G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 13882 completed with status 0
% 1.45/0.64  # Result found by G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 1.45/0.64  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.45/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.45/0.64  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.45/0.64  # No SInE strategy applied
% 1.45/0.64  # Search class: FUUPM-FFSF31-MFFFFFNN
% 1.45/0.64  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 1.45/0.64  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 500s (1) cores
% 1.45/0.64  # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 251s (1) cores
% 1.45/0.64  # Preprocessing time       : 0.001 s
% 1.45/0.64  
% 1.45/0.64  # Proof found!
% 1.45/0.64  # SZS status Unsatisfiable
% 1.45/0.64  # SZS output start CNFRefutation
% See solution above
% 1.45/0.64  # Parsed axioms                        : 10
% 1.45/0.64  # Removed by relevancy pruning/SinE    : 0
% 1.45/0.64  # Initial clauses                      : 10
% 1.45/0.64  # Removed in clause preprocessing      : 1
% 1.45/0.64  # Initial clauses in saturation        : 9
% 1.45/0.64  # Processed clauses                    : 344
% 1.45/0.64  # ...of these trivial                  : 34
% 1.45/0.64  # ...subsumed                          : 0
% 1.45/0.64  # ...remaining for further processing  : 310
% 1.45/0.64  # Other redundant clauses eliminated   : 0
% 1.45/0.64  # Clauses deleted for lack of memory   : 0
% 1.45/0.64  # Backward-subsumed                    : 0
% 1.45/0.64  # Backward-rewritten                   : 1
% 1.45/0.64  # Generated clauses                    : 11205
% 1.45/0.64  # ...of the previous two non-redundant : 2244
% 1.45/0.64  # ...aggressively subsumed             : 0
% 1.45/0.64  # Contextual simplify-reflections      : 0
% 1.45/0.64  # Paramodulations                      : 11205
% 1.45/0.64  # Factorizations                       : 0
% 1.45/0.64  # NegExts                              : 0
% 1.45/0.64  # Equation resolutions                 : 0
% 1.45/0.64  # Total rewrite steps                  : 14472
% 1.45/0.64  # Propositional unsat checks           : 0
% 1.45/0.64  #    Propositional check models        : 0
% 1.45/0.64  #    Propositional check unsatisfiable : 0
% 1.45/0.64  #    Propositional clauses             : 0
% 1.45/0.64  #    Propositional clauses after purity: 0
% 1.45/0.64  #    Propositional unsat core size     : 0
% 1.45/0.64  #    Propositional preprocessing time  : 0.000
% 1.45/0.64  #    Propositional encoding time       : 0.000
% 1.45/0.64  #    Propositional solver time         : 0.000
% 1.45/0.64  #    Success case prop preproc time    : 0.000
% 1.45/0.64  #    Success case prop encoding time   : 0.000
% 1.45/0.64  #    Success case prop solver time     : 0.000
% 1.45/0.64  # Current number of processed clauses  : 309
% 1.45/0.64  #    Positive orientable unit clauses  : 309
% 1.45/0.64  #    Positive unorientable unit clauses: 0
% 1.45/0.64  #    Negative unit clauses             : 0
% 1.45/0.64  #    Non-unit-clauses                  : 0
% 1.45/0.64  # Current number of unprocessed clauses: 1909
% 1.45/0.64  # ...number of literals in the above   : 1909
% 1.45/0.64  # Current number of archived formulas  : 0
% 1.45/0.64  # Current number of archived clauses   : 2
% 1.45/0.64  # Clause-clause subsumption calls (NU) : 0
% 1.45/0.64  # Rec. Clause-clause subsumption calls : 0
% 1.45/0.64  # Non-unit clause-clause subsumptions  : 0
% 1.45/0.64  # Unit Clause-clause subsumption calls : 0
% 1.45/0.64  # Rewrite failures with RHS unbound    : 0
% 1.45/0.64  # BW rewrite match attempts            : 10385
% 1.45/0.64  # BW rewrite match successes           : 1
% 1.45/0.64  # Condensation attempts                : 0
% 1.45/0.64  # Condensation successes               : 0
% 1.45/0.64  # Termbank termtop insertions          : 196993
% 1.45/0.64  
% 1.45/0.64  # -------------------------------------------------
% 1.45/0.64  # User time                : 0.130 s
% 1.45/0.64  # System time              : 0.010 s
% 1.45/0.64  # Total time               : 0.140 s
% 1.45/0.64  # Maximum resident set size: 1568 pages
% 1.45/0.64  
% 1.45/0.64  # -------------------------------------------------
% 1.45/0.64  # User time                : 0.678 s
% 1.45/0.64  # System time              : 0.025 s
% 1.45/0.64  # Total time               : 0.703 s
% 1.45/0.64  # Maximum resident set size: 1676 pages
% 1.45/0.64  % E---3.1 exiting
% 1.45/0.64  % E---3.1 exiting
%------------------------------------------------------------------------------