TSTP Solution File: KRS015-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : KRS015-1 : TPTP v8.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 : Mon May 20 23:15:53 EDT 2024

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   42 (   5 unt;   0 nHn;  42 RR)
%            Number of literals    :   96 (   0 equ;  61 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   53 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_10,axiom,
    ( equalish(X1,X2)
    | ~ t1most(X3)
    | ~ t(X3,X1)
    | ~ t(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).

cnf(clause_5,axiom,
    ( t(X1,u1r1(X1))
    | ~ t2least(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_4,axiom,
    ( ~ t2least(X1)
    | ~ equalish(u1r2(X1),u1r1(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

cnf(clause_6,axiom,
    ( t(X1,u1r2(X1))
    | ~ t2least(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

cnf(clause_15,axiom,
    ( s(X1,X2)
    | ~ e(X1)
    | ~ r(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).

cnf(clause_2,axiom,
    ( t2least(X1)
    | ~ c(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_17,axiom,
    ( d(X1)
    | ~ e(X2)
    | ~ s(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).

cnf(clause_1,negated_conjecture,
    e(exist),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(clause_8,axiom,
    ( t1most(X1)
    | ~ d(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).

cnf(clause_14,axiom,
    ( r(X1,u4r4(X1))
    | ~ e(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).

cnf(clause_18,axiom,
    ( c(X1)
    | ~ e(X2)
    | ~ r(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).

cnf(c_0_11,plain,
    ( equalish(X1,X2)
    | ~ t1most(X3)
    | ~ t(X3,X1)
    | ~ t(X3,X2) ),
    inference(fof_simplification,[status(thm)],[clause_10]) ).

cnf(c_0_12,plain,
    ( t(X1,u1r1(X1))
    | ~ t2least(X1) ),
    inference(fof_simplification,[status(thm)],[clause_5]) ).

cnf(c_0_13,plain,
    ( ~ t2least(X1)
    | ~ equalish(u1r2(X1),u1r1(X1)) ),
    inference(fof_simplification,[status(thm)],[clause_4]) ).

cnf(c_0_14,plain,
    ( equalish(X1,X2)
    | ~ t1most(X3)
    | ~ t(X3,X1)
    | ~ t(X3,X2) ),
    c_0_11 ).

cnf(c_0_15,plain,
    ( t(X1,u1r1(X1))
    | ~ t2least(X1) ),
    c_0_12 ).

cnf(c_0_16,plain,
    ( t(X1,u1r2(X1))
    | ~ t2least(X1) ),
    inference(fof_simplification,[status(thm)],[clause_6]) ).

cnf(c_0_17,plain,
    ( s(X1,X2)
    | ~ e(X1)
    | ~ r(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause_15]) ).

cnf(c_0_18,plain,
    ( ~ t2least(X1)
    | ~ equalish(u1r2(X1),u1r1(X1)) ),
    c_0_13 ).

cnf(c_0_19,plain,
    ( equalish(X1,u1r1(X2))
    | ~ t1most(X2)
    | ~ t(X2,X1)
    | ~ t2least(X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,plain,
    ( t(X1,u1r2(X1))
    | ~ t2least(X1) ),
    c_0_16 ).

cnf(c_0_21,plain,
    ( t2least(X1)
    | ~ c(X1) ),
    inference(fof_simplification,[status(thm)],[clause_2]) ).

cnf(c_0_22,plain,
    ( d(X1)
    | ~ e(X2)
    | ~ s(X2,X1) ),
    inference(fof_simplification,[status(thm)],[clause_17]) ).

cnf(c_0_23,plain,
    ( s(X1,X2)
    | ~ e(X1)
    | ~ r(X1,X2) ),
    c_0_17 ).

cnf(c_0_24,negated_conjecture,
    e(exist),
    clause_1 ).

cnf(c_0_25,plain,
    ( ~ t1most(X1)
    | ~ t2least(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_26,plain,
    ( t2least(X1)
    | ~ c(X1) ),
    c_0_21 ).

cnf(c_0_27,plain,
    ( t1most(X1)
    | ~ d(X1) ),
    inference(fof_simplification,[status(thm)],[clause_8]) ).

cnf(c_0_28,plain,
    ( d(X1)
    | ~ e(X2)
    | ~ s(X2,X1) ),
    c_0_22 ).

cnf(c_0_29,negated_conjecture,
    ( s(exist,X1)
    | ~ r(exist,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,plain,
    ( r(X1,u4r4(X1))
    | ~ e(X1) ),
    inference(fof_simplification,[status(thm)],[clause_14]) ).

cnf(c_0_31,plain,
    ( ~ t1most(X1)
    | ~ c(X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_32,plain,
    ( t1most(X1)
    | ~ d(X1) ),
    c_0_27 ).

cnf(c_0_33,negated_conjecture,
    ( d(X1)
    | ~ r(exist,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_24])]) ).

cnf(c_0_34,plain,
    ( r(X1,u4r4(X1))
    | ~ e(X1) ),
    c_0_30 ).

cnf(c_0_35,plain,
    ( c(X1)
    | ~ e(X2)
    | ~ r(X2,X1) ),
    inference(fof_simplification,[status(thm)],[clause_18]) ).

cnf(c_0_36,plain,
    ( ~ d(X1)
    | ~ c(X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    d(u4r4(exist)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_24])]) ).

cnf(c_0_38,plain,
    ( c(X1)
    | ~ e(X2)
    | ~ r(X2,X1) ),
    c_0_35 ).

cnf(c_0_39,negated_conjecture,
    ~ c(u4r4(exist)),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_40,plain,
    ( c(u4r4(X1))
    | ~ e(X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : KRS015-1 : TPTP v8.2.0. Released v2.0.0.
% 0.08/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat May 18 21:59:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 0.20/0.49  # Version: 3.1.0
% 0.20/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49  # Starting sh5l with 300s (1) cores
% 0.20/0.49  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 22344 completed with status 0
% 0.20/0.49  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49  # No SInE strategy applied
% 0.20/0.49  # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.20/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.49  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.49  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.20/0.49  # Starting new_bool_3 with 136s (1) cores
% 0.20/0.49  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 22353 completed with status 0
% 0.20/0.49  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 0.20/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49  # No SInE strategy applied
% 0.20/0.49  # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.20/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.49  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.49  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.20/0.49  # Preprocessing time       : 0.001 s
% 0.20/0.49  
% 0.20/0.49  # Proof found!
% 0.20/0.49  # SZS status Unsatisfiable
% 0.20/0.49  # SZS output start CNFRefutation
% See solution above
% 0.20/0.49  # Parsed axioms                        : 26
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.49  # Initial clauses                      : 26
% 0.20/0.49  # Removed in clause preprocessing      : 0
% 0.20/0.49  # Initial clauses in saturation        : 26
% 0.20/0.49  # Processed clauses                    : 41
% 0.20/0.49  # ...of these trivial                  : 0
% 0.20/0.49  # ...subsumed                          : 2
% 0.20/0.49  # ...remaining for further processing  : 39
% 0.20/0.49  # Other redundant clauses eliminated   : 0
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 2
% 0.20/0.49  # Backward-rewritten                   : 0
% 0.20/0.49  # Generated clauses                    : 33
% 0.20/0.49  # ...of the previous two non-redundant : 19
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 2
% 0.20/0.49  # Paramodulations                      : 33
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 0
% 0.20/0.49  # Disequality decompositions           : 0
% 0.20/0.49  # Total rewrite steps                  : 4
% 0.20/0.49  # ...of those cached                   : 3
% 0.20/0.49  # Propositional unsat checks           : 0
% 0.20/0.49  #    Propositional check models        : 0
% 0.20/0.49  #    Propositional check unsatisfiable : 0
% 0.20/0.49  #    Propositional clauses             : 0
% 0.20/0.49  #    Propositional clauses after purity: 0
% 0.20/0.49  #    Propositional unsat core size     : 0
% 0.20/0.49  #    Propositional preprocessing time  : 0.000
% 0.20/0.49  #    Propositional encoding time       : 0.000
% 0.20/0.49  #    Propositional solver time         : 0.000
% 0.20/0.49  #    Success case prop preproc time    : 0.000
% 0.20/0.49  #    Success case prop encoding time   : 0.000
% 0.20/0.49  #    Success case prop solver time     : 0.000
% 0.20/0.49  # Current number of processed clauses  : 37
% 0.20/0.49  #    Positive orientable unit clauses  : 2
% 0.20/0.49  #    Positive unorientable unit clauses: 0
% 0.20/0.49  #    Negative unit clauses             : 1
% 0.20/0.49  #    Non-unit-clauses                  : 34
% 0.20/0.49  # Current number of unprocessed clauses: 4
% 0.20/0.49  # ...number of literals in the above   : 22
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 2
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 473
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 213
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 10
% 0.20/0.49  # Unit Clause-clause subsumption calls : 12
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 0
% 0.20/0.49  # BW rewrite match successes           : 0
% 0.20/0.49  # Condensation attempts                : 41
% 0.20/0.49  # Condensation successes               : 4
% 0.20/0.49  # Termbank termtop insertions          : 1607
% 0.20/0.49  # Search garbage collected termcells   : 79
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.004 s
% 0.20/0.49  # System time              : 0.002 s
% 0.20/0.49  # Total time               : 0.006 s
% 0.20/0.49  # Maximum resident set size: 1656 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.017 s
% 0.20/0.49  # System time              : 0.009 s
% 0.20/0.49  # Total time               : 0.026 s
% 0.20/0.49  # Maximum resident set size: 1708 pages
% 0.20/0.49  % E---3.1 exiting
% 0.20/0.49  % E exiting
%------------------------------------------------------------------------------