TSTP Solution File: GRP074-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : GRP074-1 : TPTP v8.2.0. Bugfixed v2.3.0.
% 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 : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 20:53:16 EDT 2024

% Result   : Unsatisfiable 0.17s 0.46s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   40 (  33 unt;   0 nHn;   9 RR)
%            Number of literals    :   53 (  52 equ;  21 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  114 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    divide(inverse(divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4)))),X4) = X3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

cnf(prove_these_axioms,negated_conjecture,
    ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
    | multiply(multiply(inverse(b2),b2),a2) != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).

cnf(multiply,axiom,
    multiply(X1,X2) = divide(X1,inverse(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

cnf(c_0_3,axiom,
    divide(inverse(divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4)))),X4) = X3,
    single_axiom ).

cnf(c_0_4,plain,
    divide(inverse(divide(divide(divide(X1,X1),X2),X3)),X4) = inverse(divide(divide(divide(X5,X5),X6),divide(X3,divide(X6,divide(X2,X4))))),
    inference(spm,[status(thm)],[c_0_3,c_0_3]) ).

cnf(c_0_5,plain,
    divide(divide(inverse(divide(divide(divide(X1,X1),X2),X3)),X4),divide(X2,X4)) = X3,
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,plain,
    divide(inverse(divide(divide(divide(X1,X1),inverse(divide(divide(divide(X2,X2),X3),divide(X4,divide(X3,X5))))),divide(X6,X4))),X5) = X6,
    inference(spm,[status(thm)],[c_0_3,c_0_3]) ).

cnf(c_0_7,plain,
    inverse(divide(divide(divide(X1,X1),X2),X3)) = inverse(divide(divide(divide(X4,X4),X2),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_3]) ).

cnf(c_0_8,plain,
    divide(inverse(divide(divide(divide(X1,X1),X2),X3)),X4) = inverse(divide(divide(divide(X5,X5),divide(inverse(divide(divide(divide(a1,a1),X2),X6)),X4)),divide(X3,X6))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_6]),c_0_4]) ).

cnf(c_0_9,plain,
    inverse(divide(divide(divide(X1,X1),divide(X2,inverse(divide(divide(divide(X3,X3),X2),X4)))),X5)) = inverse(divide(X4,X5)),
    inference(spm,[status(thm)],[c_0_7,c_0_5]) ).

cnf(c_0_10,plain,
    inverse(divide(divide(divide(X1,X1),divide(inverse(divide(X2,X3)),X4)),divide(X5,X3))) = divide(inverse(divide(X2,X5)),X4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_9]) ).

cnf(c_0_11,plain,
    inverse(divide(divide(divide(X1,X1),X2),divide(divide(X3,X4),divide(X2,X4)))) = X3,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_4]),c_0_3]) ).

cnf(c_0_12,plain,
    divide(inverse(divide(X1,X2)),inverse(divide(divide(divide(X3,X3),inverse(divide(X1,X4))),X5))) = inverse(divide(X5,divide(X2,X4))),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    divide(divide(X1,X2),divide(X3,X2)) = divide(divide(X1,X4),divide(X3,X4)),
    inference(spm,[status(thm)],[c_0_5,c_0_11]) ).

cnf(c_0_14,plain,
    inverse(divide(divide(divide(X1,X1),inverse(divide(X2,divide(X3,X3)))),X4)) = inverse(divide(X2,X4)),
    inference(spm,[status(thm)],[c_0_9,c_0_12]) ).

cnf(c_0_15,plain,
    divide(divide(inverse(divide(divide(divide(X1,X1),X2),divide(X3,X2))),X4),divide(X5,X4)) = divide(X3,X5),
    inference(spm,[status(thm)],[c_0_5,c_0_13]) ).

cnf(c_0_16,plain,
    divide(divide(inverse(divide(X1,X2)),X3),divide(inverse(divide(X1,divide(X4,X4))),X3)) = X2,
    inference(spm,[status(thm)],[c_0_5,c_0_14]) ).

cnf(c_0_17,plain,
    divide(divide(inverse(divide(divide(divide(X1,X2),divide(X3,X2)),X4)),X5),divide(divide(X3,X1),X5)) = X4,
    inference(spm,[status(thm)],[c_0_5,c_0_13]) ).

cnf(c_0_18,plain,
    divide(X1,inverse(divide(divide(divide(X2,X2),X3),divide(X4,X4)))) = divide(X1,X3),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    inverse(divide(divide(divide(X1,X1),X2),divide(X3,X3))) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
    | multiply(multiply(inverse(b2),b2),a2) != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
    inference(fof_simplification,[status(thm)],[prove_these_axioms]) ).

cnf(c_0_21,plain,
    divide(divide(X1,X2),divide(X3,X2)) = divide(X1,X3),
    inference(spm,[status(thm)],[c_0_15,c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
    | multiply(multiply(inverse(b2),b2),a2) != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
    c_0_20 ).

cnf(c_0_23,axiom,
    multiply(X1,X2) = divide(X1,inverse(X2)),
    multiply ).

cnf(c_0_24,plain,
    inverse(divide(divide(divide(X1,X2),divide(inverse(divide(X3,X4)),X2)),divide(X5,X4))) = divide(inverse(divide(X3,X5)),X1),
    inference(spm,[status(thm)],[c_0_10,c_0_13]) ).

cnf(c_0_25,plain,
    inverse(divide(divide(X1,X1),X2)) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_21]),c_0_21]),c_0_21]) ).

cnf(c_0_26,plain,
    inverse(divide(X1,divide(divide(X2,X3),divide(inverse(divide(X1,divide(X4,X4))),X3)))) = X2,
    inference(spm,[status(thm)],[c_0_11,c_0_14]) ).

cnf(c_0_27,negated_conjecture,
    ( divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2
    | divide(inverse(b1),inverse(b1)) != divide(inverse(a1),inverse(a1))
    | divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]) ).

cnf(c_0_28,plain,
    inverse(divide(X1,X2)) = divide(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21]),c_0_21]),c_0_25]) ).

cnf(c_0_29,plain,
    divide(X1,divide(X2,X2)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_25]),c_0_21]),c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    ( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3))
    | divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1))
    | divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2 ),
    inference(rw,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_31,plain,
    divide(divide(X1,X1),X2) = inverse(X2),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    ( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3))
    | divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1))
    | inverse(inverse(a2)) != a2 ),
    inference(rw,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_33,plain,
    inverse(inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_31]),c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    ( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3))
    | divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).

cnf(c_0_35,plain,
    divide(X1,X1) = divide(X2,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_31]),c_0_28]) ).

cnf(c_0_36,plain,
    divide(divide(X1,inverse(X2)),X2) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_28]),c_0_29]),c_0_21]) ).

cnf(c_0_37,negated_conjecture,
    divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_35])]) ).

cnf(c_0_38,plain,
    divide(divide(X1,inverse(X2)),X3) = divide(X1,divide(X3,X2)),
    inference(spm,[status(thm)],[c_0_21,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GRP074-1 : TPTP v8.2.0. Bugfixed v2.3.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.10/0.33  % Computer : n025.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit   : 300
% 0.10/0.33  % WCLimit    : 300
% 0.10/0.33  % DateTime   : Sun May 19 05:34:52 EDT 2024
% 0.10/0.33  % CPUTime    : 
% 0.17/0.43  Running first-order model finding
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46  # Version: 3.1.0
% 0.17/0.46  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46  # Starting sh5l with 300s (1) cores
% 0.17/0.46  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 19599 completed with status 0
% 0.17/0.46  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.17/0.46  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.46  # No SInE strategy applied
% 0.17/0.46  # Search class: FUHPF-FFSF21-MFFFFFNN
% 0.17/0.46  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.17/0.46  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.17/0.46  # Starting new_bool_3 with 136s (1) cores
% 0.17/0.46  # Starting new_bool_1 with 136s (1) cores
% 0.17/0.46  # Starting sh5l with 136s (1) cores
% 0.17/0.46  # SAT001_MinMin_p005000_rr_RG with pid 19603 completed with status 0
% 0.17/0.46  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.46  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.46  # No SInE strategy applied
% 0.17/0.46  # Search class: FUHPF-FFSF21-MFFFFFNN
% 0.17/0.46  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.17/0.46  # Preprocessing time       : 0.001 s
% 0.17/0.46  # Presaturation interreduction done
% 0.17/0.46  
% 0.17/0.46  # Proof found!
% 0.17/0.46  # SZS status Unsatisfiable
% 0.17/0.46  # SZS output start CNFRefutation
% See solution above
% 0.17/0.46  # Parsed axioms                        : 3
% 0.17/0.46  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.46  # Initial clauses                      : 3
% 0.17/0.46  # Removed in clause preprocessing      : 1
% 0.17/0.46  # Initial clauses in saturation        : 2
% 0.17/0.46  # Processed clauses                    : 81
% 0.17/0.46  # ...of these trivial                  : 8
% 0.17/0.46  # ...subsumed                          : 29
% 0.17/0.46  # ...remaining for further processing  : 44
% 0.17/0.46  # Other redundant clauses eliminated   : 0
% 0.17/0.46  # Clauses deleted for lack of memory   : 0
% 0.17/0.46  # Backward-subsumed                    : 0
% 0.17/0.46  # Backward-rewritten                   : 31
% 0.17/0.46  # Generated clauses                    : 1921
% 0.17/0.46  # ...of the previous two non-redundant : 1445
% 0.17/0.46  # ...aggressively subsumed             : 0
% 0.17/0.46  # Contextual simplify-reflections      : 0
% 0.17/0.46  # Paramodulations                      : 1921
% 0.17/0.46  # Factorizations                       : 0
% 0.17/0.46  # NegExts                              : 0
% 0.17/0.46  # Equation resolutions                 : 0
% 0.17/0.46  # Disequality decompositions           : 0
% 0.17/0.46  # Total rewrite steps                  : 951
% 0.17/0.46  # ...of those cached                   : 423
% 0.17/0.46  # Propositional unsat checks           : 0
% 0.17/0.46  #    Propositional check models        : 0
% 0.17/0.46  #    Propositional check unsatisfiable : 0
% 0.17/0.46  #    Propositional clauses             : 0
% 0.17/0.46  #    Propositional clauses after purity: 0
% 0.17/0.46  #    Propositional unsat core size     : 0
% 0.17/0.46  #    Propositional preprocessing time  : 0.000
% 0.17/0.46  #    Propositional encoding time       : 0.000
% 0.17/0.46  #    Propositional solver time         : 0.000
% 0.17/0.46  #    Success case prop preproc time    : 0.000
% 0.17/0.46  #    Success case prop encoding time   : 0.000
% 0.17/0.46  #    Success case prop solver time     : 0.000
% 0.17/0.46  # Current number of processed clauses  : 11
% 0.17/0.46  #    Positive orientable unit clauses  : 10
% 0.17/0.46  #    Positive unorientable unit clauses: 1
% 0.17/0.46  #    Negative unit clauses             : 0
% 0.17/0.46  #    Non-unit-clauses                  : 0
% 0.17/0.46  # Current number of unprocessed clauses: 1349
% 0.17/0.46  # ...number of literals in the above   : 1349
% 0.17/0.46  # Current number of archived formulas  : 0
% 0.17/0.46  # Current number of archived clauses   : 34
% 0.17/0.46  # Clause-clause subsumption calls (NU) : 0
% 0.17/0.46  # Rec. Clause-clause subsumption calls : 0
% 0.17/0.46  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.46  # Unit Clause-clause subsumption calls : 12
% 0.17/0.46  # Rewrite failures with RHS unbound    : 0
% 0.17/0.46  # BW rewrite match attempts            : 228
% 0.17/0.46  # BW rewrite match successes           : 63
% 0.17/0.46  # Condensation attempts                : 0
% 0.17/0.46  # Condensation successes               : 0
% 0.17/0.46  # Termbank termtop insertions          : 29124
% 0.17/0.46  # Search garbage collected termcells   : 8
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.025 s
% 0.17/0.46  # System time              : 0.003 s
% 0.17/0.46  # Total time               : 0.028 s
% 0.17/0.46  # Maximum resident set size: 1592 pages
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.133 s
% 0.17/0.46  # System time              : 0.006 s
% 0.17/0.46  # Total time               : 0.139 s
% 0.17/0.46  # Maximum resident set size: 1688 pages
% 0.17/0.46  % E---3.1 exiting
%------------------------------------------------------------------------------