TSTP Solution File: ANA003-2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : ANA003-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 17:15:57 EDT 2023

% Result   : Unsatisfiable 23.93s 3.52s
% Output   : CNFRefutation 23.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   37 (   4 unt;   0 nHn;  37 RR)
%            Number of literals    :   98 (   0 equ;  67 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   5 con; 0-2 aty)
%            Number of variables   :   60 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(transitivity_of_less_than,axiom,
    ( less_than(X1,X3)
    | ~ less_than(X1,X2)
    | ~ less_than(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.4xhykQv3kK/E---3.1_8434.p',transitivity_of_less_than) ).

cnf(axiom_2_3,axiom,
    ( less_than(minimum(X1,X2),X2)
    | ~ less_than(n0,X1)
    | ~ less_than(n0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.4xhykQv3kK/E---3.1_8434.p',axiom_2_3) ).

cnf(axiom_3,axiom,
    ( less_than(add(X1,X3),X2)
    | ~ less_than(X1,half(X2))
    | ~ less_than(X3,half(X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.4xhykQv3kK/E---3.1_8434.p',axiom_3) ).

cnf(c_13,negated_conjecture,
    ( less_than(absolute(add(g(X2),minus(l2))),X1)
    | ~ less_than(n0,X1)
    | ~ less_than(absolute(add(X2,minus(a))),fp32(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.4xhykQv3kK/E---3.1_8434.p',c_13) ).

cnf(c_15,negated_conjecture,
    ( less_than(absolute(add(fp33(X1),minus(a))),X1)
    | ~ less_than(n0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4xhykQv3kK/E---3.1_8434.p',c_15) ).

cnf(axiom_2_1,axiom,
    ( less_than(n0,minimum(X1,X2))
    | ~ less_than(n0,X1)
    | ~ less_than(n0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.4xhykQv3kK/E---3.1_8434.p',axiom_2_1) ).

cnf(c_12,negated_conjecture,
    ( less_than(n0,fp32(X1))
    | ~ less_than(n0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4xhykQv3kK/E---3.1_8434.p',c_12) ).

cnf(c_16,negated_conjecture,
    ( ~ less_than(n0,X1)
    | ~ less_than(add(absolute(add(f(fp33(X1)),minus(l1))),absolute(add(g(fp33(X1)),minus(l2)))),b) ),
    file('/export/starexec/sandbox2/tmp/tmp.4xhykQv3kK/E---3.1_8434.p',c_16) ).

cnf(axiom_2_2,axiom,
    ( less_than(minimum(X1,X2),X1)
    | ~ less_than(n0,X1)
    | ~ less_than(n0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.4xhykQv3kK/E---3.1_8434.p',axiom_2_2) ).

cnf(c_11,negated_conjecture,
    ( less_than(absolute(add(f(X2),minus(l1))),X1)
    | ~ less_than(n0,X1)
    | ~ less_than(absolute(add(X2,minus(a))),fp31(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.4xhykQv3kK/E---3.1_8434.p',c_11) ).

cnf(c_10,negated_conjecture,
    ( less_than(n0,fp31(X1))
    | ~ less_than(n0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4xhykQv3kK/E---3.1_8434.p',c_10) ).

cnf(axiom_7,axiom,
    ( less_than(n0,half(X1))
    | ~ less_than(n0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4xhykQv3kK/E---3.1_8434.p',axiom_7) ).

cnf(c_14,negated_conjecture,
    less_than(n0,b),
    file('/export/starexec/sandbox2/tmp/tmp.4xhykQv3kK/E---3.1_8434.p',c_14) ).

cnf(c_0_13,axiom,
    ( less_than(X1,X3)
    | ~ less_than(X1,X2)
    | ~ less_than(X2,X3) ),
    transitivity_of_less_than ).

cnf(c_0_14,axiom,
    ( less_than(minimum(X1,X2),X2)
    | ~ less_than(n0,X1)
    | ~ less_than(n0,X2) ),
    axiom_2_3 ).

cnf(c_0_15,axiom,
    ( less_than(add(X1,X3),X2)
    | ~ less_than(X1,half(X2))
    | ~ less_than(X3,half(X2)) ),
    axiom_3 ).

cnf(c_0_16,negated_conjecture,
    ( less_than(absolute(add(g(X2),minus(l2))),X1)
    | ~ less_than(n0,X1)
    | ~ less_than(absolute(add(X2,minus(a))),fp32(X1)) ),
    c_13 ).

cnf(c_0_17,plain,
    ( less_than(X1,X2)
    | ~ less_than(X1,minimum(X3,X2))
    | ~ less_than(n0,X2)
    | ~ less_than(n0,X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    ( less_than(absolute(add(fp33(X1),minus(a))),X1)
    | ~ less_than(n0,X1) ),
    c_15 ).

cnf(c_0_19,axiom,
    ( less_than(n0,minimum(X1,X2))
    | ~ less_than(n0,X1)
    | ~ less_than(n0,X2) ),
    axiom_2_1 ).

cnf(c_0_20,negated_conjecture,
    ( less_than(add(X1,absolute(add(g(X2),minus(l2)))),X3)
    | ~ less_than(absolute(add(X2,minus(a))),fp32(half(X3)))
    | ~ less_than(n0,half(X3))
    | ~ less_than(X1,half(X3)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    ( less_than(absolute(add(fp33(minimum(X1,X2)),minus(a))),X2)
    | ~ less_than(n0,X2)
    | ~ less_than(n0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    ( less_than(n0,fp32(X1))
    | ~ less_than(n0,X1) ),
    c_12 ).

cnf(c_0_23,negated_conjecture,
    ( ~ less_than(n0,X1)
    | ~ less_than(add(absolute(add(f(fp33(X1)),minus(l1))),absolute(add(g(fp33(X1)),minus(l2)))),b) ),
    c_16 ).

cnf(c_0_24,negated_conjecture,
    ( less_than(add(X1,absolute(add(g(fp33(minimum(X2,fp32(half(X3))))),minus(l2)))),X3)
    | ~ less_than(n0,half(X3))
    | ~ less_than(X1,half(X3))
    | ~ less_than(n0,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

cnf(c_0_25,axiom,
    ( less_than(minimum(X1,X2),X1)
    | ~ less_than(n0,X1)
    | ~ less_than(n0,X2) ),
    axiom_2_2 ).

cnf(c_0_26,negated_conjecture,
    ( ~ less_than(absolute(add(f(fp33(minimum(X1,fp32(half(b))))),minus(l1))),half(b))
    | ~ less_than(n0,minimum(X1,fp32(half(b))))
    | ~ less_than(n0,half(b))
    | ~ less_than(n0,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    ( less_than(absolute(add(f(X2),minus(l1))),X1)
    | ~ less_than(n0,X1)
    | ~ less_than(absolute(add(X2,minus(a))),fp31(X1)) ),
    c_11 ).

cnf(c_0_28,plain,
    ( less_than(X1,X2)
    | ~ less_than(X1,minimum(X2,X3))
    | ~ less_than(n0,X3)
    | ~ less_than(n0,X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ less_than(absolute(add(fp33(minimum(X1,fp32(half(b)))),minus(a))),fp31(half(b)))
    | ~ less_than(n0,minimum(X1,fp32(half(b))))
    | ~ less_than(n0,half(b))
    | ~ less_than(n0,X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,negated_conjecture,
    ( less_than(absolute(add(fp33(minimum(X1,X2)),minus(a))),X1)
    | ~ less_than(n0,X2)
    | ~ less_than(n0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_18]),c_0_19]) ).

cnf(c_0_31,negated_conjecture,
    ( less_than(n0,fp31(X1))
    | ~ less_than(n0,X1) ),
    c_10 ).

cnf(c_0_32,negated_conjecture,
    ( ~ less_than(n0,minimum(fp31(half(b)),fp32(half(b))))
    | ~ less_than(n0,half(b)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_22]),c_0_31]) ).

cnf(c_0_33,negated_conjecture,
    ~ less_than(n0,half(b)),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_19]),c_0_31]),c_0_22]) ).

cnf(c_0_34,axiom,
    ( less_than(n0,half(X1))
    | ~ less_than(n0,X1) ),
    axiom_7 ).

cnf(c_0_35,negated_conjecture,
    less_than(n0,b),
    c_14 ).

cnf(c_0_36,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : ANA003-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 2400
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Oct  2 15:05:05 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  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.4xhykQv3kK/E---3.1_8434.p
% 23.93/3.52  # Version: 3.1pre001
% 23.93/3.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 23.93/3.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.93/3.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 23.93/3.52  # Starting new_bool_3 with 300s (1) cores
% 23.93/3.52  # Starting new_bool_1 with 300s (1) cores
% 23.93/3.52  # Starting sh5l with 300s (1) cores
% 23.93/3.52  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 8513 completed with status 0
% 23.93/3.52  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 23.93/3.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 23.93/3.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.93/3.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 23.93/3.52  # No SInE strategy applied
% 23.93/3.52  # Search class: FHHNS-FFSF21-MFFFFFNN
% 23.93/3.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 23.93/3.52  # Starting SAT001_MinMin_p005000_rr_RG with 450s (1) cores
% 23.93/3.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 23.93/3.52  # Starting new_bool_3 with 226s (1) cores
% 23.93/3.52  # Starting new_bool_1 with 226s (1) cores
% 23.93/3.52  # Starting sh5l with 226s (1) cores
% 23.93/3.52  # SAT001_MinMin_p005000_rr_RG with pid 8517 completed with status 0
% 23.93/3.52  # Result found by SAT001_MinMin_p005000_rr_RG
% 23.93/3.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 23.93/3.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.93/3.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 23.93/3.52  # No SInE strategy applied
% 23.93/3.52  # Search class: FHHNS-FFSF21-MFFFFFNN
% 23.93/3.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 23.93/3.52  # Starting SAT001_MinMin_p005000_rr_RG with 450s (1) cores
% 23.93/3.52  # Preprocessing time       : 0.001 s
% 23.93/3.52  # Presaturation interreduction done
% 23.93/3.52  
% 23.93/3.52  # Proof found!
% 23.93/3.52  # SZS status Unsatisfiable
% 23.93/3.52  # SZS output start CNFRefutation
% See solution above
% 23.93/3.52  # Parsed axioms                        : 17
% 23.93/3.52  # Removed by relevancy pruning/SinE    : 0
% 23.93/3.52  # Initial clauses                      : 17
% 23.93/3.52  # Removed in clause preprocessing      : 0
% 23.93/3.52  # Initial clauses in saturation        : 17
% 23.93/3.52  # Processed clauses                    : 5026
% 23.93/3.52  # ...of these trivial                  : 0
% 23.93/3.52  # ...subsumed                          : 1845
% 23.93/3.52  # ...remaining for further processing  : 3181
% 23.93/3.52  # Other redundant clauses eliminated   : 0
% 23.93/3.52  # Clauses deleted for lack of memory   : 0
% 23.93/3.52  # Backward-subsumed                    : 576
% 23.93/3.52  # Backward-rewritten                   : 0
% 23.93/3.52  # Generated clauses                    : 40020
% 23.93/3.52  # ...of the previous two non-redundant : 40011
% 23.93/3.52  # ...aggressively subsumed             : 0
% 23.93/3.52  # Contextual simplify-reflections      : 1848
% 23.93/3.52  # Paramodulations                      : 40020
% 23.93/3.52  # Factorizations                       : 0
% 23.93/3.52  # NegExts                              : 0
% 23.93/3.52  # Equation resolutions                 : 0
% 23.93/3.52  # Total rewrite steps                  : 19
% 23.93/3.52  # Propositional unsat checks           : 0
% 23.93/3.52  #    Propositional check models        : 0
% 23.93/3.52  #    Propositional check unsatisfiable : 0
% 23.93/3.52  #    Propositional clauses             : 0
% 23.93/3.52  #    Propositional clauses after purity: 0
% 23.93/3.52  #    Propositional unsat core size     : 0
% 23.93/3.52  #    Propositional preprocessing time  : 0.000
% 23.93/3.52  #    Propositional encoding time       : 0.000
% 23.93/3.52  #    Propositional solver time         : 0.000
% 23.93/3.52  #    Success case prop preproc time    : 0.000
% 23.93/3.52  #    Success case prop encoding time   : 0.000
% 23.93/3.52  #    Success case prop solver time     : 0.000
% 23.93/3.52  # Current number of processed clauses  : 2588
% 23.93/3.52  #    Positive orientable unit clauses  : 3
% 23.93/3.52  #    Positive unorientable unit clauses: 0
% 23.93/3.52  #    Negative unit clauses             : 163
% 23.93/3.52  #    Non-unit-clauses                  : 2422
% 23.93/3.52  # Current number of unprocessed clauses: 34501
% 23.93/3.52  # ...number of literals in the above   : 222213
% 23.93/3.52  # Current number of archived formulas  : 0
% 23.93/3.52  # Current number of archived clauses   : 593
% 23.93/3.52  # Clause-clause subsumption calls (NU) : 5493390
% 23.93/3.52  # Rec. Clause-clause subsumption calls : 529687
% 23.93/3.52  # Non-unit clause-clause subsumptions  : 3230
% 23.93/3.52  # Unit Clause-clause subsumption calls : 15334
% 23.93/3.52  # Rewrite failures with RHS unbound    : 0
% 23.93/3.52  # BW rewrite match attempts            : 0
% 23.93/3.52  # BW rewrite match successes           : 0
% 23.93/3.52  # Condensation attempts                : 0
% 23.93/3.52  # Condensation successes               : 0
% 23.93/3.52  # Termbank termtop insertions          : 1465102
% 23.93/3.52  
% 23.93/3.52  # -------------------------------------------------
% 23.93/3.52  # User time                : 2.928 s
% 23.93/3.52  # System time              : 0.051 s
% 23.93/3.52  # Total time               : 2.979 s
% 23.93/3.52  # Maximum resident set size: 1628 pages
% 23.93/3.52  
% 23.93/3.52  # -------------------------------------------------
% 23.93/3.52  # User time                : 14.757 s
% 23.93/3.52  # System time              : 0.153 s
% 23.93/3.52  # Total time               : 14.909 s
% 23.93/3.52  # Maximum resident set size: 1692 pages
% 23.93/3.52  % E---3.1 exiting
% 23.93/3.53  % E---3.1 exiting
%------------------------------------------------------------------------------