TSTP Solution File: GRP535-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GRP535-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 17:42:03 EDT 2023

% Result   : Timeout 0.40s 300.17s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   20 (  20 unt;   0 nHn;   5 RR)
%            Number of literals    :   20 (  19 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   41 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(multiply,axiom,
    multiply(X1,X2) = divide(X1,divide(divide(X3,X3),X2)),
    file('/export/starexec/sandbox/tmp/tmp.tegqI3LNLC/E---3.1_1408.p',multiply) ).

cnf(single_axiom,axiom,
    divide(divide(X1,divide(divide(X1,X2),X3)),X2) = X3,
    file('/export/starexec/sandbox/tmp/tmp.tegqI3LNLC/E---3.1_1408.p',single_axiom) ).

cnf(prove_these_axioms_3,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/tmp/tmp.tegqI3LNLC/E---3.1_1408.p',prove_these_axioms_3) ).

cnf(c_0_3,axiom,
    multiply(X1,X2) = divide(X1,divide(divide(X3,X3),X2)),
    multiply ).

cnf(c_0_4,axiom,
    divide(divide(X1,divide(divide(X1,X2),X3)),X2) = X3,
    single_axiom ).

cnf(c_0_5,plain,
    multiply(divide(X1,divide(multiply(X1,X2),X3)),X2) = X3,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_3]) ).

cnf(c_0_6,plain,
    divide(multiply(X1,X2),X1) = X2,
    inference(spm,[status(thm)],[c_0_4,c_0_3]) ).

cnf(c_0_7,plain,
    multiply(divide(X1,X2),X2) = X1,
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,plain,
    multiply(X1,X2) = multiply(X2,X1),
    inference(spm,[status(thm)],[c_0_7,c_0_6]) ).

cnf(c_0_9,plain,
    multiply(X1,divide(X2,divide(multiply(X2,X1),X3))) = X3,
    inference(rw,[status(thm)],[c_0_5,c_0_8]) ).

cnf(c_0_10,plain,
    divide(X1,divide(X1,X2)) = X2,
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_11,plain,
    multiply(X1,divide(X2,X3)) = divide(multiply(X2,X1),X3),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    prove_these_axioms_3 ).

cnf(c_0_13,plain,
    multiply(divide(X1,X2),X3) = divide(multiply(X1,X3),X2),
    inference(spm,[status(thm)],[c_0_8,c_0_11]) ).

cnf(c_0_14,plain,
    multiply(multiply(X1,X2),X3) = multiply(X2,multiply(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_3]),c_0_3]) ).

cnf(c_0_15,negated_conjecture,
    multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
    inference(rw,[status(thm)],[c_0_12,c_0_8]) ).

cnf(c_0_16,plain,
    multiply(X1,multiply(X2,X3)) = multiply(X3,multiply(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_3]),c_0_3]),c_0_14]),c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_18,plain,
    multiply(X1,multiply(X2,X3)) = multiply(X2,multiply(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_8]),c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP535-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n025.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
% 0.13/0.36  % CPULimit   : 2400
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Tue Oct  3 02:55:51 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  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.tegqI3LNLC/E---3.1_1408.p
% 0.40/300.17  # Version: 3.1pre001
% 0.40/300.17  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.40/300.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/300.17  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.40/300.17  # Starting new_bool_3 with 300s (1) cores
% 0.40/300.17  # Starting new_bool_1 with 300s (1) cores
% 0.40/300.17  # Starting sh5l with 300s (1) cores
% 0.40/300.17  # new_bool_3 with pid 1551 completed with status 0
% 0.40/300.17  # Result found by new_bool_3
% 0.40/300.17  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.40/300.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/300.17  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.40/300.17  # Starting new_bool_3 with 300s (1) cores
% 0.40/300.17  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.40/300.17  # Search class: FUUPS-FFSF22-MFFFFFNN
% 0.40/300.17  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.40/300.17  # Starting G-E--_208_C18_F1_AE_CS_SP_S0Y with 181s (1) cores
% 0.40/300.17  # G-E--_208_C18_F1_AE_CS_SP_S0Y with pid 1556 completed with status 0
% 0.40/300.17  # Result found by G-E--_208_C18_F1_AE_CS_SP_S0Y
% 0.40/300.17  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.40/300.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/300.17  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.40/300.17  # Starting new_bool_3 with 300s (1) cores
% 0.40/300.17  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.40/300.17  # Search class: FUUPS-FFSF22-MFFFFFNN
% 0.40/300.17  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.40/300.17  # Starting G-E--_208_C18_F1_AE_CS_SP_S0Y with 181s (1) cores
% 0.40/300.17  # Preprocessing time       : 0.001 s
% 0.40/300.17  
% 0.40/300.17  # Proof found!
% 0.40/300.17  # SZS status Unsatisfiable
% 0.40/300.17  # SZS output start CNFRefutation
% See solution above
% 0.40/300.17  # Parsed axioms                        : 5
% 0.40/300.17  # Removed by relevancy pruning/SinE    : 2
% 0.40/300.17  # Initial clauses                      : 3
% 0.40/300.17  # Removed in clause preprocessing      : 0
% 0.40/300.17  # Initial clauses in saturation        : 3
% 0.40/300.17  # Processed clauses                    : 69
% 0.40/300.17  # ...of these trivial                  : 8
% 0.40/300.17  # ...subsumed                          : 32
% 0.40/300.17  # ...remaining for further processing  : 29
% 0.40/300.17  # Other redundant clauses eliminated   : 0
% 0.40/300.17  # Clauses deleted for lack of memory   : 0
% 0.40/300.17  # Backward-subsumed                    : 0
% 0.40/300.17  # Backward-rewritten                   : 11
% 0.40/300.17  # Generated clauses                    : 435
% 0.40/300.17  # ...of the previous two non-redundant : 286
% 0.40/300.17  # ...aggressively subsumed             : 0
% 0.40/300.17  # Contextual simplify-reflections      : 0
% 0.40/300.17  # Paramodulations                      : 435
% 0.40/300.17  # Factorizations                       : 0
% 0.40/300.17  # NegExts                              : 0
% 0.40/300.17  # Equation resolutions                 : 0
% 0.40/300.17  # Total rewrite steps                  : 350
% 0.40/300.17  # Propositional unsat checks           : 0
% 0.40/300.17  #    Propositional check models        : 0
% 0.40/300.17  #    Propositional check unsatisfiable : 0
% 0.40/300.17  #    Propositional clauses             : 0
% 0.40/300.17  #    Propositional clauses after purity: 0
% 0.40/300.17  #    Propositional unsat core size     : 0
% 0.40/300.17  #    Propositional preprocessing time  : 0.000
% 0.40/300.17  #    Propositional encoding time       : 0.000
% 0.40/300.17  #    Propositional solver time         : 0.000
% 0.40/300.17  #    Success case prop preproc time    : 0.000
% 0.40/300.17  #    Success case prop encoding time   : 0.000
% 0.40/300.17  #    Success case prop solver time     : 0.000
% 0.40/300.17  # Current number of processed clauses  : 18
% 0.40/300.17  #    Positive orientable unit clauses  : 14
% 0.40/300.17  #    Positive unorientable unit clauses: 4
% 0.40/300.17  #    Negative unit clauses             : 0
% 0.40/300.17  #    Non-unit-clauses                  : 0
% 0.40/300.17  # Current number of unprocessed clauses: 212
% 0.40/300.17  # ...number of literals in the above   : 212
% 0.40/300.17  # Current number of archived formulas  : 0
% 0.40/300.17  # Current number of archived clauses   : 11
% 0.40/300.17  # Clause-clause subsumption calls (NU) : 0
% 0.40/300.17  # Rec. Clause-clause subsumption calls : 0
% 0.40/300.17  # Non-unit clause-clause subsumptions  : 0
% 0.40/300.17  # Unit Clause-clause subsumption calls : 8
% 0.40/300.17  # Rewrite failures with RHS unbound    : 16
% 0.40/300.17  # BW rewrite match attempts            : 81
% 0.40/300.17  # BW rewrite match successes           : 46
% 0.40/300.17  # Condensation attempts                : 0
% 0.40/300.17  # Condensation successes               : 0
% 0.40/300.17  # Termbank termtop insertions          : 2725
% 0.40/300.17  
% 0.40/300.17  # -------------------------------------------------
% 0.40/300.17  # User time                : 0.005 s
% 0.40/300.17  # System time              : 0.003 s
% 0.40/300.17  # Total time               : 0.008 s
% 0.40/300.17  # Maximum resident set size: 1428 pages
% 0.40/300.17  
% 0.40/300.17  # -------------------------------------------------
% 0.40/300.17  # User time                : 0.005 s
% 0.40/300.17  # System time              : 0.005 s
% 0.40/300.17  # Total time               : 0.010 s
% 0.40/300.17  # Maximum resident set size: 1676 pages
% 0.40/300.17  % E---3.1 exiting
% 0.40/300.17  % E---3.1 exiting
%------------------------------------------------------------------------------