TSTP Solution File: FLD028-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : FLD028-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 17:30:00 EDT 2023

% Result   : Unsatisfiable 18.37s 2.79s
% Output   : CNFRefutation 18.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   86 (  36 unt;  11 nHn;  86 RR)
%            Number of literals    :  179 (   0 equ;  86 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   81 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(compatibility_of_equality_and_multiplication,axiom,
    ( equalish(multiply(X1,X2),multiply(X3,X2))
    | ~ defined(X2)
    | ~ equalish(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',compatibility_of_equality_and_multiplication) ).

cnf(existence_of_inverse_multiplication,axiom,
    ( equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity)
    | equalish(X1,additive_identity)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',existence_of_inverse_multiplication) ).

cnf(transitivity_of_equality,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X1,X3)
    | ~ equalish(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',transitivity_of_equality) ).

cnf(associativity_multiplication,axiom,
    ( equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3))
    | ~ defined(X1)
    | ~ defined(X2)
    | ~ defined(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',associativity_multiplication) ).

cnf(a_is_defined,hypothesis,
    defined(a),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',a_is_defined) ).

cnf(existence_of_identity_multiplication,axiom,
    ( equalish(multiply(multiplicative_identity,X1),X1)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',existence_of_identity_multiplication) ).

cnf(v_is_defined,hypothesis,
    defined(v),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',v_is_defined) ).

cnf(a_not_equal_to_additive_identity_5,negated_conjecture,
    ~ equalish(a,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',a_not_equal_to_additive_identity_5) ).

cnf(well_definedness_of_multiplicative_inverse,axiom,
    ( defined(multiplicative_inverse(X1))
    | equalish(X1,additive_identity)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',well_definedness_of_multiplicative_inverse) ).

cnf(u_is_defined,hypothesis,
    defined(u),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',u_is_defined) ).

cnf(symmetry_of_equality,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',symmetry_of_equality) ).

cnf(commutativity_multiplication,axiom,
    ( equalish(multiply(X1,X2),multiply(X2,X1))
    | ~ defined(X1)
    | ~ defined(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',commutativity_multiplication) ).

cnf(well_definedness_of_multiplication,axiom,
    ( defined(multiply(X1,X2))
    | ~ defined(X1)
    | ~ defined(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',well_definedness_of_multiplication) ).

cnf(multiply_equals_b_7,negated_conjecture,
    equalish(multiply(a,v),b),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',multiply_equals_b_7) ).

cnf(multiply_equals_b_6,negated_conjecture,
    equalish(multiply(a,u),b),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',multiply_equals_b_6) ).

cnf(u_not_equal_to_v_8,negated_conjecture,
    ~ equalish(u,v),
    file('/export/starexec/sandbox2/tmp/tmp.Q0Jeeob4iL/E---3.1_1225.p',u_not_equal_to_v_8) ).

cnf(c_0_16,axiom,
    ( equalish(multiply(X1,X2),multiply(X3,X2))
    | ~ defined(X2)
    | ~ equalish(X1,X3) ),
    compatibility_of_equality_and_multiplication ).

cnf(c_0_17,axiom,
    ( equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity)
    | equalish(X1,additive_identity)
    | ~ defined(X1) ),
    existence_of_inverse_multiplication ).

cnf(c_0_18,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X1,X3)
    | ~ equalish(X3,X2) ),
    transitivity_of_equality ).

cnf(c_0_19,plain,
    ( equalish(multiply(multiply(X1,multiplicative_inverse(X1)),X2),multiply(multiplicative_identity,X2))
    | equalish(X1,additive_identity)
    | ~ defined(X2)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,axiom,
    ( equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3))
    | ~ defined(X1)
    | ~ defined(X2)
    | ~ defined(X3) ),
    associativity_multiplication ).

cnf(c_0_21,hypothesis,
    defined(a),
    a_is_defined ).

cnf(c_0_22,axiom,
    ( equalish(multiply(multiplicative_identity,X1),X1)
    | ~ defined(X1) ),
    existence_of_identity_multiplication ).

cnf(c_0_23,hypothesis,
    defined(v),
    v_is_defined ).

cnf(c_0_24,plain,
    ( equalish(X1,multiply(multiplicative_identity,X2))
    | equalish(X3,additive_identity)
    | ~ defined(X2)
    | ~ defined(X3)
    | ~ equalish(X1,multiply(multiply(X3,multiplicative_inverse(X3)),X2)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,hypothesis,
    ( equalish(multiply(a,multiply(X1,X2)),multiply(multiply(a,X1),X2))
    | ~ defined(X2)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    ~ equalish(a,additive_identity),
    a_not_equal_to_additive_identity_5 ).

cnf(c_0_27,hypothesis,
    equalish(multiply(multiplicative_identity,v),v),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_28,hypothesis,
    ( equalish(multiply(a,multiply(multiplicative_inverse(a),X1)),multiply(multiplicative_identity,X1))
    | ~ defined(multiplicative_inverse(a))
    | ~ defined(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21])]),c_0_26]) ).

cnf(c_0_29,axiom,
    ( defined(multiplicative_inverse(X1))
    | equalish(X1,additive_identity)
    | ~ defined(X1) ),
    well_definedness_of_multiplicative_inverse ).

cnf(c_0_30,hypothesis,
    ( equalish(X1,v)
    | ~ equalish(X1,multiply(multiplicative_identity,v)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_27]) ).

cnf(c_0_31,hypothesis,
    ( equalish(multiply(a,multiply(multiplicative_inverse(a),X1)),multiply(multiplicative_identity,X1))
    | ~ defined(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_21])]),c_0_26]) ).

cnf(c_0_32,hypothesis,
    defined(u),
    u_is_defined ).

cnf(c_0_33,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    symmetry_of_equality ).

cnf(c_0_34,hypothesis,
    equalish(multiply(a,multiply(multiplicative_inverse(a),v)),v),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_23])]) ).

cnf(c_0_35,hypothesis,
    equalish(multiply(multiplicative_identity,u),u),
    inference(spm,[status(thm)],[c_0_22,c_0_32]) ).

cnf(c_0_36,axiom,
    ( equalish(multiply(X1,X2),multiply(X2,X1))
    | ~ defined(X1)
    | ~ defined(X2) ),
    commutativity_multiplication ).

cnf(c_0_37,plain,
    ( equalish(X1,multiply(multiply(X2,X3),X4))
    | ~ defined(X4)
    | ~ defined(X3)
    | ~ defined(X2)
    | ~ equalish(X1,multiply(X2,multiply(X3,X4))) ),
    inference(spm,[status(thm)],[c_0_18,c_0_20]) ).

cnf(c_0_38,hypothesis,
    equalish(v,multiply(a,multiply(multiplicative_inverse(a),v))),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,hypothesis,
    ( equalish(X1,u)
    | ~ equalish(X1,multiply(multiplicative_identity,u)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_35]) ).

cnf(c_0_40,plain,
    ( equalish(multiply(multiply(X1,X2),X3),multiply(multiply(X2,X1),X3))
    | ~ defined(X3)
    | ~ defined(X2)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_36]) ).

cnf(c_0_41,hypothesis,
    ( equalish(v,multiply(multiply(a,multiplicative_inverse(a)),v))
    | ~ defined(multiplicative_inverse(a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_23]),c_0_21])]) ).

cnf(c_0_42,hypothesis,
    equalish(multiply(a,multiply(multiplicative_inverse(a),u)),u),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_31]),c_0_32])]) ).

cnf(c_0_43,plain,
    ( equalish(X1,multiply(multiply(X2,X3),X4))
    | ~ defined(X4)
    | ~ defined(X2)
    | ~ defined(X3)
    | ~ equalish(X1,multiply(multiply(X3,X2),X4)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_40]) ).

cnf(c_0_44,hypothesis,
    equalish(v,multiply(multiply(a,multiplicative_inverse(a)),v)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_29]),c_0_21])]),c_0_26]) ).

cnf(c_0_45,plain,
    ( equalish(X1,multiply(X2,X3))
    | ~ defined(X2)
    | ~ defined(X3)
    | ~ equalish(X1,multiply(X3,X2)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_36]) ).

cnf(c_0_46,hypothesis,
    equalish(u,multiply(a,multiply(multiplicative_inverse(a),u))),
    inference(spm,[status(thm)],[c_0_33,c_0_42]) ).

cnf(c_0_47,hypothesis,
    ( equalish(v,multiply(multiply(multiplicative_inverse(a),a),v))
    | ~ defined(multiplicative_inverse(a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_23]),c_0_21])]) ).

cnf(c_0_48,hypothesis,
    ( equalish(u,multiply(multiply(multiplicative_inverse(a),u),a))
    | ~ defined(multiply(multiplicative_inverse(a),u)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_21])]) ).

cnf(c_0_49,axiom,
    ( defined(multiply(X1,X2))
    | ~ defined(X1)
    | ~ defined(X2) ),
    well_definedness_of_multiplication ).

cnf(c_0_50,hypothesis,
    equalish(v,multiply(multiply(multiplicative_inverse(a),a),v)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_29]),c_0_21])]),c_0_26]) ).

cnf(c_0_51,hypothesis,
    ( equalish(u,multiply(multiply(multiplicative_inverse(a),u),a))
    | ~ defined(multiplicative_inverse(a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_32])]) ).

cnf(c_0_52,hypothesis,
    equalish(multiply(multiply(multiplicative_inverse(a),a),v),v),
    inference(spm,[status(thm)],[c_0_33,c_0_50]) ).

cnf(c_0_53,hypothesis,
    equalish(u,multiply(multiply(multiplicative_inverse(a),u),a)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_29]),c_0_21])]),c_0_26]) ).

cnf(c_0_54,hypothesis,
    ( equalish(X1,v)
    | ~ equalish(X1,multiply(multiply(multiplicative_inverse(a),a),v)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_52]) ).

cnf(c_0_55,plain,
    ( equalish(multiply(multiplicative_inverse(X1),multiply(X2,X3)),multiply(multiply(multiplicative_inverse(X1),X2),X3))
    | equalish(X1,additive_identity)
    | ~ defined(X3)
    | ~ defined(X2)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_29]) ).

cnf(c_0_56,hypothesis,
    equalish(multiply(multiply(multiplicative_inverse(a),u),a),u),
    inference(spm,[status(thm)],[c_0_33,c_0_53]) ).

cnf(c_0_57,hypothesis,
    equalish(multiply(multiplicative_inverse(a),multiply(a,v)),v),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_23]),c_0_21])]),c_0_26]) ).

cnf(c_0_58,hypothesis,
    ( equalish(X1,u)
    | ~ equalish(X1,multiply(multiply(multiplicative_inverse(a),u),a)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_56]) ).

cnf(c_0_59,hypothesis,
    ( equalish(X1,v)
    | ~ equalish(X1,multiply(multiplicative_inverse(a),multiply(a,v))) ),
    inference(spm,[status(thm)],[c_0_18,c_0_57]) ).

cnf(c_0_60,plain,
    ( equalish(multiply(X1,multiplicative_inverse(X2)),multiply(multiplicative_inverse(X2),X1))
    | equalish(X2,additive_identity)
    | ~ defined(X1)
    | ~ defined(X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_29]) ).

cnf(c_0_61,negated_conjecture,
    equalish(multiply(a,v),b),
    multiply_equals_b_7 ).

cnf(c_0_62,hypothesis,
    equalish(multiply(multiplicative_inverse(a),multiply(u,a)),u),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_55]),c_0_21]),c_0_32])]),c_0_26]) ).

cnf(c_0_63,hypothesis,
    ( equalish(multiply(multiply(a,v),multiplicative_inverse(a)),v)
    | ~ defined(multiply(a,v)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_21])]),c_0_26]) ).

cnf(c_0_64,negated_conjecture,
    equalish(b,multiply(a,v)),
    inference(spm,[status(thm)],[c_0_33,c_0_61]) ).

cnf(c_0_65,hypothesis,
    ( equalish(X1,u)
    | ~ equalish(X1,multiply(multiplicative_inverse(a),multiply(u,a))) ),
    inference(spm,[status(thm)],[c_0_18,c_0_62]) ).

cnf(c_0_66,hypothesis,
    equalish(multiply(multiply(a,v),multiplicative_inverse(a)),v),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_49]),c_0_23]),c_0_21])]) ).

cnf(c_0_67,negated_conjecture,
    ( equalish(multiply(b,X1),multiply(multiply(a,v),X1))
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_64]) ).

cnf(c_0_68,hypothesis,
    ( equalish(multiply(multiply(u,a),multiplicative_inverse(a)),u)
    | ~ defined(multiply(u,a)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_60]),c_0_21])]),c_0_26]) ).

cnf(c_0_69,hypothesis,
    ( equalish(X1,v)
    | ~ equalish(X1,multiply(multiply(a,v),multiplicative_inverse(a))) ),
    inference(spm,[status(thm)],[c_0_18,c_0_66]) ).

cnf(c_0_70,negated_conjecture,
    ( equalish(multiply(b,multiplicative_inverse(X1)),multiply(multiply(a,v),multiplicative_inverse(X1)))
    | equalish(X1,additive_identity)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_29]) ).

cnf(c_0_71,negated_conjecture,
    equalish(multiply(a,u),b),
    multiply_equals_b_6 ).

cnf(c_0_72,hypothesis,
    equalish(multiply(multiply(u,a),multiplicative_inverse(a)),u),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_49]),c_0_21]),c_0_32])]) ).

cnf(c_0_73,hypothesis,
    equalish(multiply(b,multiplicative_inverse(a)),v),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_21])]),c_0_26]) ).

cnf(c_0_74,negated_conjecture,
    ( equalish(multiply(multiply(a,u),X1),multiply(b,X1))
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_71]) ).

cnf(c_0_75,hypothesis,
    ( equalish(X1,u)
    | ~ equalish(X1,multiply(multiply(u,a),multiplicative_inverse(a))) ),
    inference(spm,[status(thm)],[c_0_18,c_0_72]) ).

cnf(c_0_76,plain,
    ( equalish(multiply(multiply(X1,X2),multiplicative_inverse(X3)),multiply(multiply(X2,X1),multiplicative_inverse(X3)))
    | equalish(X3,additive_identity)
    | ~ defined(X2)
    | ~ defined(X1)
    | ~ defined(X3) ),
    inference(spm,[status(thm)],[c_0_40,c_0_29]) ).

cnf(c_0_77,hypothesis,
    ( equalish(X1,v)
    | ~ equalish(X1,multiply(b,multiplicative_inverse(a))) ),
    inference(spm,[status(thm)],[c_0_18,c_0_73]) ).

cnf(c_0_78,negated_conjecture,
    ( equalish(multiply(multiply(a,u),multiplicative_inverse(X1)),multiply(b,multiplicative_inverse(X1)))
    | equalish(X1,additive_identity)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_29]) ).

cnf(c_0_79,hypothesis,
    equalish(multiply(multiply(a,u),multiplicative_inverse(a)),u),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_32]),c_0_21])]),c_0_26]) ).

cnf(c_0_80,negated_conjecture,
    equalish(multiply(multiply(a,u),multiplicative_inverse(a)),v),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_21])]),c_0_26]) ).

cnf(c_0_81,hypothesis,
    ( equalish(X1,u)
    | ~ equalish(X1,multiply(multiply(a,u),multiplicative_inverse(a))) ),
    inference(spm,[status(thm)],[c_0_18,c_0_79]) ).

cnf(c_0_82,negated_conjecture,
    equalish(v,multiply(multiply(a,u),multiplicative_inverse(a))),
    inference(spm,[status(thm)],[c_0_33,c_0_80]) ).

cnf(c_0_83,hypothesis,
    equalish(v,u),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_84,negated_conjecture,
    ~ equalish(u,v),
    u_not_equal_to_v_8 ).

cnf(c_0_85,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_83]),c_0_84]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : FLD028-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n010.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 23:12:35 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  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.Q0Jeeob4iL/E---3.1_1225.p
% 18.37/2.79  # Version: 3.1pre001
% 18.37/2.79  # Preprocessing class: FSMSSMSSSSSNFFN.
% 18.37/2.79  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.37/2.79  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.37/2.79  # Starting new_bool_3 with 300s (1) cores
% 18.37/2.79  # Starting new_bool_1 with 300s (1) cores
% 18.37/2.79  # Starting sh5l with 300s (1) cores
% 18.37/2.79  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1303 completed with status 0
% 18.37/2.79  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 18.37/2.79  # Preprocessing class: FSMSSMSSSSSNFFN.
% 18.37/2.79  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.37/2.79  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.37/2.79  # No SInE strategy applied
% 18.37/2.79  # Search class: FGUNF-FFMM21-SFFFFFNN
% 18.37/2.79  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 18.37/2.79  # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 589s (1) cores
% 18.37/2.79  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 18.37/2.79  # Starting new_bool_3 with 269s (1) cores
% 18.37/2.79  # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 136s (1) cores
% 18.37/2.79  # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 18.37/2.79  # G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with pid 1312 completed with status 0
% 18.37/2.79  # Result found by G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN
% 18.37/2.79  # Preprocessing class: FSMSSMSSSSSNFFN.
% 18.37/2.79  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.37/2.79  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.37/2.79  # No SInE strategy applied
% 18.37/2.79  # Search class: FGUNF-FFMM21-SFFFFFNN
% 18.37/2.79  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 18.37/2.79  # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 589s (1) cores
% 18.37/2.79  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 18.37/2.79  # Starting new_bool_3 with 269s (1) cores
% 18.37/2.79  # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 136s (1) cores
% 18.37/2.79  # Preprocessing time       : 0.001 s
% 18.37/2.79  # Presaturation interreduction done
% 18.37/2.79  
% 18.37/2.79  # Proof found!
% 18.37/2.79  # SZS status Unsatisfiable
% 18.37/2.79  # SZS output start CNFRefutation
% See solution above
% 18.37/2.79  # Parsed axioms                        : 35
% 18.37/2.79  # Removed by relevancy pruning/SinE    : 0
% 18.37/2.79  # Initial clauses                      : 35
% 18.37/2.79  # Removed in clause preprocessing      : 0
% 18.37/2.79  # Initial clauses in saturation        : 35
% 18.37/2.79  # Processed clauses                    : 14762
% 18.37/2.79  # ...of these trivial                  : 5080
% 18.37/2.79  # ...subsumed                          : 997
% 18.37/2.79  # ...remaining for further processing  : 8685
% 18.37/2.79  # Other redundant clauses eliminated   : 0
% 18.37/2.79  # Clauses deleted for lack of memory   : 0
% 18.37/2.79  # Backward-subsumed                    : 5
% 18.37/2.79  # Backward-rewritten                   : 99
% 18.37/2.79  # Generated clauses                    : 149724
% 18.37/2.79  # ...of the previous two non-redundant : 125691
% 18.37/2.79  # ...aggressively subsumed             : 0
% 18.37/2.79  # Contextual simplify-reflections      : 11
% 18.37/2.79  # Paramodulations                      : 149716
% 18.37/2.79  # Factorizations                       : 8
% 18.37/2.79  # NegExts                              : 0
% 18.37/2.79  # Equation resolutions                 : 0
% 18.94/2.79  # Total rewrite steps                  : 55508
% 18.94/2.79  # Propositional unsat checks           : 0
% 18.94/2.79  #    Propositional check models        : 0
% 18.94/2.79  #    Propositional check unsatisfiable : 0
% 18.94/2.79  #    Propositional clauses             : 0
% 18.94/2.79  #    Propositional clauses after purity: 0
% 18.94/2.79  #    Propositional unsat core size     : 0
% 18.94/2.79  #    Propositional preprocessing time  : 0.000
% 18.94/2.79  #    Propositional encoding time       : 0.000
% 18.94/2.79  #    Propositional solver time         : 0.000
% 18.94/2.79  #    Success case prop preproc time    : 0.000
% 18.94/2.79  #    Success case prop encoding time   : 0.000
% 18.94/2.79  #    Success case prop solver time     : 0.000
% 18.94/2.79  # Current number of processed clauses  : 8546
% 18.94/2.79  #    Positive orientable unit clauses  : 4513
% 18.94/2.79  #    Positive unorientable unit clauses: 0
% 18.94/2.79  #    Negative unit clauses             : 3
% 18.94/2.79  #    Non-unit-clauses                  : 4030
% 18.94/2.79  # Current number of unprocessed clauses: 110999
% 18.94/2.79  # ...number of literals in the above   : 246788
% 18.94/2.79  # Current number of archived formulas  : 0
% 18.94/2.79  # Current number of archived clauses   : 139
% 18.94/2.79  # Clause-clause subsumption calls (NU) : 921642
% 18.94/2.79  # Rec. Clause-clause subsumption calls : 689687
% 18.94/2.79  # Non-unit clause-clause subsumptions  : 1013
% 18.94/2.79  # Unit Clause-clause subsumption calls : 83750
% 18.94/2.79  # Rewrite failures with RHS unbound    : 0
% 18.94/2.79  # BW rewrite match attempts            : 20074
% 18.94/2.79  # BW rewrite match successes           : 94
% 18.94/2.79  # Condensation attempts                : 0
% 18.94/2.79  # Condensation successes               : 0
% 18.94/2.79  # Termbank termtop insertions          : 2365974
% 18.94/2.79  
% 18.94/2.79  # -------------------------------------------------
% 18.94/2.79  # User time                : 2.260 s
% 18.94/2.79  # System time              : 0.065 s
% 18.94/2.79  # Total time               : 2.325 s
% 18.94/2.79  # Maximum resident set size: 1656 pages
% 18.94/2.79  
% 18.94/2.79  # -------------------------------------------------
% 18.94/2.79  # User time                : 11.378 s
% 18.94/2.79  # System time              : 0.297 s
% 18.94/2.79  # Total time               : 11.676 s
% 18.94/2.79  # Maximum resident set size: 1700 pages
% 18.94/2.79  % E---3.1 exiting
% 18.95/2.80  % E---3.1 exiting
%------------------------------------------------------------------------------