TSTP Solution File: RNG023-7 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : RNG023-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 19:15:23 EDT 2023

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  18 unt;   0 nHn;   6 RR)
%            Number of literals    :   18 (  17 equ;   5 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    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   24 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_left_alternative,negated_conjecture,
    associator(x,x,y) != additive_identity,
    file('/export/starexec/sandbox/tmp/tmp.y4vlQV1Wmt/E---3.1_17081.p',prove_left_alternative) ).

cnf(associator,axiom,
    associator(X1,X2,X3) = add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))),
    file('/export/starexec/sandbox/tmp/tmp.y4vlQV1Wmt/E---3.1_17081.p',associator) ).

cnf(inverse_product2,axiom,
    multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.y4vlQV1Wmt/E---3.1_17081.p',inverse_product2) ).

cnf(left_alternative,axiom,
    multiply(multiply(X1,X1),X2) = multiply(X1,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.y4vlQV1Wmt/E---3.1_17081.p',left_alternative) ).

cnf(distribute1,axiom,
    multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)),
    file('/export/starexec/sandbox/tmp/tmp.y4vlQV1Wmt/E---3.1_17081.p',distribute1) ).

cnf(right_additive_inverse,axiom,
    add(X1,additive_inverse(X1)) = additive_identity,
    file('/export/starexec/sandbox/tmp/tmp.y4vlQV1Wmt/E---3.1_17081.p',right_additive_inverse) ).

cnf(right_multiplicative_zero,axiom,
    multiply(X1,additive_identity) = additive_identity,
    file('/export/starexec/sandbox/tmp/tmp.y4vlQV1Wmt/E---3.1_17081.p',right_multiplicative_zero) ).

cnf(c_0_7,negated_conjecture,
    associator(x,x,y) != additive_identity,
    prove_left_alternative ).

cnf(c_0_8,axiom,
    associator(X1,X2,X3) = add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))),
    associator ).

cnf(c_0_9,negated_conjecture,
    add(multiply(multiply(x,x),y),additive_inverse(multiply(x,multiply(x,y)))) != additive_identity,
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,axiom,
    multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)),
    inverse_product2 ).

cnf(c_0_11,negated_conjecture,
    add(multiply(multiply(x,x),y),multiply(x,multiply(x,additive_inverse(y)))) != additive_identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).

cnf(c_0_12,axiom,
    multiply(multiply(X1,X1),X2) = multiply(X1,multiply(X1,X2)),
    left_alternative ).

cnf(c_0_13,negated_conjecture,
    add(multiply(x,multiply(x,y)),multiply(x,multiply(x,additive_inverse(y)))) != additive_identity,
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,axiom,
    multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)),
    distribute1 ).

cnf(c_0_15,axiom,
    add(X1,additive_inverse(X1)) = additive_identity,
    right_additive_inverse ).

cnf(c_0_16,axiom,
    multiply(X1,additive_identity) = additive_identity,
    right_multiplicative_zero ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14]),c_0_15]),c_0_16]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : RNG023-7 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 2400
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Oct  2 19:46:14 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  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/tmp/tmp.y4vlQV1Wmt/E---3.1_17081.p
% 0.20/0.48  # Version: 3.1pre001
% 0.20/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # Starting sh5l with 300s (1) cores
% 0.20/0.48  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 17158 completed with status 0
% 0.20/0.48  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48  # No SInE strategy applied
% 0.20/0.48  # Search class: FUUPM-FFMF21-MFFFFFNN
% 0.20/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.48  # Starting U----_211g_10_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.20/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.48  # Starting new_bool_3 with 136s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 136s (1) cores
% 0.20/0.48  # Starting sh5l with 136s (1) cores
% 0.20/0.48  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 17166 completed with status 0
% 0.20/0.48  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48  # No SInE strategy applied
% 0.20/0.48  # Search class: FUUPM-FFMF21-MFFFFFNN
% 0.20/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.48  # Starting U----_211g_10_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.20/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.48  # Preprocessing time       : 0.001 s
% 0.20/0.48  # Presaturation interreduction done
% 0.20/0.48  
% 0.20/0.48  # Proof found!
% 0.20/0.48  # SZS status Unsatisfiable
% 0.20/0.48  # SZS output start CNFRefutation
% See solution above
% 0.20/0.48  # Parsed axioms                        : 23
% 0.20/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.48  # Initial clauses                      : 23
% 0.20/0.48  # Removed in clause preprocessing      : 2
% 0.20/0.48  # Initial clauses in saturation        : 21
% 0.20/0.48  # Processed clauses                    : 18
% 0.20/0.48  # ...of these trivial                  : 1
% 0.20/0.48  # ...subsumed                          : 0
% 0.20/0.48  # ...remaining for further processing  : 17
% 0.20/0.48  # Other redundant clauses eliminated   : 0
% 0.20/0.48  # Clauses deleted for lack of memory   : 0
% 0.20/0.48  # Backward-subsumed                    : 0
% 0.20/0.48  # Backward-rewritten                   : 4
% 0.20/0.48  # Generated clauses                    : 0
% 0.20/0.48  # ...of the previous two non-redundant : 2
% 0.20/0.48  # ...aggressively subsumed             : 0
% 0.20/0.48  # Contextual simplify-reflections      : 0
% 0.20/0.48  # Paramodulations                      : 0
% 0.20/0.48  # Factorizations                       : 0
% 0.20/0.48  # NegExts                              : 0
% 0.20/0.48  # Equation resolutions                 : 0
% 0.20/0.48  # Total rewrite steps                  : 13
% 0.20/0.48  # Propositional unsat checks           : 0
% 0.20/0.48  #    Propositional check models        : 0
% 0.20/0.48  #    Propositional check unsatisfiable : 0
% 0.20/0.48  #    Propositional clauses             : 0
% 0.20/0.48  #    Propositional clauses after purity: 0
% 0.20/0.48  #    Propositional unsat core size     : 0
% 0.20/0.48  #    Propositional preprocessing time  : 0.000
% 0.20/0.48  #    Propositional encoding time       : 0.000
% 0.20/0.48  #    Propositional solver time         : 0.000
% 0.20/0.48  #    Success case prop preproc time    : 0.000
% 0.20/0.48  #    Success case prop encoding time   : 0.000
% 0.20/0.48  #    Success case prop solver time     : 0.000
% 0.20/0.48  # Current number of processed clauses  : 13
% 0.20/0.48  #    Positive orientable unit clauses  : 12
% 0.20/0.48  #    Positive unorientable unit clauses: 1
% 0.20/0.48  #    Negative unit clauses             : 0
% 0.20/0.48  #    Non-unit-clauses                  : 0
% 0.20/0.48  # Current number of unprocessed clauses: 5
% 0.20/0.48  # ...number of literals in the above   : 5
% 0.20/0.48  # Current number of archived formulas  : 0
% 0.20/0.48  # Current number of archived clauses   : 6
% 0.20/0.48  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.48  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.48  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.48  # Unit Clause-clause subsumption calls : 0
% 0.20/0.48  # Rewrite failures with RHS unbound    : 0
% 0.20/0.48  # BW rewrite match attempts            : 16
% 0.20/0.48  # BW rewrite match successes           : 13
% 0.20/0.48  # Condensation attempts                : 0
% 0.20/0.48  # Condensation successes               : 0
% 0.20/0.48  # Termbank termtop insertions          : 333
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.003 s
% 0.20/0.48  # System time              : 0.001 s
% 0.20/0.48  # Total time               : 0.004 s
% 0.20/0.48  # Maximum resident set size: 1588 pages
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.010 s
% 0.20/0.48  # System time              : 0.004 s
% 0.20/0.48  # Total time               : 0.014 s
% 0.20/0.48  # Maximum resident set size: 1684 pages
% 0.20/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------