TSTP Solution File: ANA029-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : ANA029-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 17:16:05 EDT 2023

% Result   : Unsatisfiable 15.65s 2.92s
% Output   : CNFRefutation 15.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   57 (   9 unt;   4 nHn;  47 RR)
%            Number of literals    :  137 (  12 equ;  83 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :   96 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Oneg__equal__iff__equal_0,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_uminus(X2,X1) != c_uminus(X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',cls_OrderedGroup_Oneg__equal__iff__equal_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',clsrel_Ring__and__Field_Oordered__idom_4) ).

cnf(tfree_tcs,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',tfree_tcs) ).

cnf(cls_OrderedGroup_Ominus__minus_0,axiom,
    ( c_uminus(c_uminus(X2,X1),X1) = X2
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',cls_OrderedGroup_Ominus__minus_0) ).

cnf(cls_OrderedGroup_Oneg__0__le__iff__le_1,axiom,
    ( c_lessequals(c_0,c_uminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',cls_OrderedGroup_Oneg__0__le__iff__le_1) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',clsrel_Ring__and__Field_Oordered__idom_54) ).

cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
    ( c_lessequals(X4,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',clsrel_Ring__and__Field_Oordered__idom_44) ).

cnf(cls_OrderedGroup_Oneg__le__0__iff__le_1,axiom,
    ( c_lessequals(c_uminus(X2,X1),c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',cls_OrderedGroup_Oneg__le__0__iff__le_1) ).

cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',cls_Orderings_Oorder__less__imp__le_0) ).

cnf(cls_Orderings_Olinorder__not__le_0,axiom,
    ( c_less(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',cls_Orderings_Olinorder__not__le_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',clsrel_Ring__and__Field_Oordered__idom_33) ).

cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
    ( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',cls_OrderedGroup_Oabs__ge__zero_0) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',cls_conjecture_3) ).

cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom,
    ( c_lessequals(c_Orderings_Omax(X4,X2,X1),X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',cls_conjecture_2) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8BEkgGUqw9/E---3.1_15561.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

cnf(c_0_17,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_uminus(X2,X1) != c_uminus(X3,X1) ),
    cls_OrderedGroup_Oneg__equal__iff__equal_0 ).

cnf(c_0_18,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_4 ).

cnf(c_0_19,plain,
    ( X1 = X2
    | c_uminus(X1,X3) != c_uminus(X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_20,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    tfree_tcs ).

cnf(c_0_21,axiom,
    ( c_uminus(c_uminus(X2,X1),X1) = X2
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Ominus__minus_0 ).

cnf(c_0_22,axiom,
    ( c_lessequals(c_0,c_uminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    cls_OrderedGroup_Oneg__0__le__iff__le_1 ).

cnf(c_0_23,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_54 ).

cnf(c_0_24,negated_conjecture,
    ( X1 = X2
    | c_uminus(X1,t_b) != c_uminus(X2,t_b) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,plain,
    ( c_uminus(c_uminus(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_18]) ).

cnf(c_0_26,plain,
    ( c_lessequals(c_0,c_uminus(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_lessequals(X1,c_0,X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    c_uminus(c_uminus(X1,t_b),t_b) = X1,
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_20])])]) ).

cnf(c_0_28,negated_conjecture,
    ( c_lessequals(c_0,X1,t_b)
    | ~ c_lessequals(c_uminus(X1,t_b),c_0,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_20])]) ).

cnf(c_0_29,axiom,
    ( c_lessequals(X4,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    cls_Orderings_Oorder__class_Oorder__trans_0 ).

cnf(c_0_30,negated_conjecture,
    ( c_lessequals(c_0,c_uminus(X1,t_b),t_b)
    | ~ c_lessequals(X1,c_0,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_20])]) ).

cnf(c_0_31,negated_conjecture,
    ( c_lessequals(c_0,X1,t_b)
    | ~ class_Orderings_Oorder(t_b)
    | ~ c_lessequals(c_uminus(X2,t_b),X1,t_b)
    | ~ c_lessequals(X2,c_0,t_b) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_44 ).

cnf(c_0_33,negated_conjecture,
    ( c_lessequals(c_0,X1,t_b)
    | ~ c_lessequals(c_uminus(X2,t_b),X1,t_b)
    | ~ c_lessequals(X2,c_0,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_20])]) ).

cnf(c_0_34,axiom,
    ( c_lessequals(c_uminus(X2,X1),c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    cls_OrderedGroup_Oneg__le__0__iff__le_1 ).

cnf(c_0_35,negated_conjecture,
    ( c_lessequals(c_0,X1,t_b)
    | ~ c_lessequals(c_uminus(X2,t_b),c_0,t_b)
    | ~ c_lessequals(X2,X1,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_25]),c_0_20])]) ).

cnf(c_0_36,plain,
    ( c_lessequals(c_uminus(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_lessequals(c_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_23]) ).

cnf(c_0_37,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_Orderings_Oorder__less__imp__le_0 ).

cnf(c_0_38,axiom,
    ( c_less(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_Orderings_Olinorder__not__le_0 ).

cnf(c_0_39,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_33 ).

cnf(c_0_40,negated_conjecture,
    ( c_lessequals(c_0,X1,t_b)
    | ~ c_lessequals(c_0,X2,t_b)
    | ~ c_lessequals(X2,X1,t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_20])]) ).

cnf(c_0_41,axiom,
    ( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    cls_OrderedGroup_Oabs__ge__zero_0 ).

cnf(c_0_42,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_less(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_37,c_0_32]) ).

cnf(c_0_43,negated_conjecture,
    ~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
    cls_conjecture_3 ).

cnf(c_0_44,axiom,
    ( c_lessequals(c_Orderings_Omax(X4,X2,X1),X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2 ).

cnf(c_0_45,plain,
    ( c_less(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_46,negated_conjecture,
    ( c_lessequals(c_0,X1,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_HOL_Oabs(X2,t_b),X1,t_b) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_47,negated_conjecture,
    ( c_lessequals(X1,X2,t_b)
    | ~ c_less(X1,X2,t_b) ),
    inference(spm,[status(thm)],[c_0_42,c_0_20]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
    | ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    ( c_less(X1,X2,t_b)
    | c_lessequals(X2,X1,t_b) ),
    inference(spm,[status(thm)],[c_0_45,c_0_20]) ).

cnf(c_0_50,negated_conjecture,
    ( c_lessequals(c_0,X1,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_less(c_HOL_Oabs(X2,t_b),X1,t_b) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_51,negated_conjecture,
    ( c_less(c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),c_minus(v_f(v_x),v_k(v_x),t_b),t_b)
    | ~ class_Orderings_Olinorder(t_b)
    | ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_52,negated_conjecture,
    ~ c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
    cls_conjecture_2 ).

cnf(c_0_53,negated_conjecture,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ class_Orderings_Olinorder(t_b) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_41]) ).

cnf(c_0_54,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_50 ).

cnf(c_0_55,negated_conjecture,
    ~ class_Orderings_Olinorder(t_b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_20])]) ).

cnf(c_0_56,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_39]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.32  % Problem    : ANA029-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.33  % Command    : run_E %s %d THM
% 0.36/0.53  % Computer : n019.cluster.edu
% 0.36/0.53  % Model    : x86_64 x86_64
% 0.36/0.53  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.36/0.53  % Memory   : 8042.1875MB
% 0.36/0.53  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.36/0.53  % CPULimit   : 2400
% 0.36/0.53  % WCLimit    : 300
% 0.36/0.53  % DateTime   : Mon Oct  2 15:08:51 EDT 2023
% 0.36/0.54  % CPUTime    : 
% 0.40/0.93  Running first-order theorem proving
% 0.40/0.93  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.8BEkgGUqw9/E---3.1_15561.p
% 15.65/2.92  # Version: 3.1pre001
% 15.65/2.92  # Preprocessing class: FMLMSMSMSSSNFFN.
% 15.65/2.92  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.65/2.92  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 15.65/2.92  # Starting new_bool_3 with 300s (1) cores
% 15.65/2.92  # Starting new_bool_1 with 300s (1) cores
% 15.65/2.92  # Starting sh5l with 300s (1) cores
% 15.65/2.92  # sh5l with pid 15642 completed with status 0
% 15.65/2.92  # Result found by sh5l
% 15.65/2.92  # Preprocessing class: FMLMSMSMSSSNFFN.
% 15.65/2.92  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.65/2.92  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 15.65/2.92  # Starting new_bool_3 with 300s (1) cores
% 15.65/2.92  # Starting new_bool_1 with 300s (1) cores
% 15.65/2.92  # Starting sh5l with 300s (1) cores
% 15.65/2.92  # SinE strategy is gf500_gu_R04_F100_L20000
% 15.65/2.92  # Search class: FGHSM-SMLM32-DFFFFFNN
% 15.65/2.92  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 15.65/2.92  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 23s (1) cores
% 15.65/2.92  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 15645 completed with status 0
% 15.65/2.92  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 15.65/2.92  # Preprocessing class: FMLMSMSMSSSNFFN.
% 15.65/2.92  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.65/2.92  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 15.65/2.92  # Starting new_bool_3 with 300s (1) cores
% 15.65/2.92  # Starting new_bool_1 with 300s (1) cores
% 15.65/2.92  # Starting sh5l with 300s (1) cores
% 15.65/2.92  # SinE strategy is gf500_gu_R04_F100_L20000
% 15.65/2.92  # Search class: FGHSM-SMLM32-DFFFFFNN
% 15.65/2.92  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 15.65/2.92  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 23s (1) cores
% 15.65/2.92  # Preprocessing time       : 0.022 s
% 15.65/2.92  # Presaturation interreduction done
% 15.65/2.92  
% 15.65/2.92  # Proof found!
% 15.65/2.92  # SZS status Unsatisfiable
% 15.65/2.92  # SZS output start CNFRefutation
% See solution above
% 15.65/2.92  # Parsed axioms                        : 2809
% 15.65/2.92  # Removed by relevancy pruning/SinE    : 265
% 15.65/2.92  # Initial clauses                      : 2544
% 15.65/2.92  # Removed in clause preprocessing      : 1
% 15.65/2.92  # Initial clauses in saturation        : 2543
% 15.65/2.92  # Processed clauses                    : 18782
% 15.65/2.92  # ...of these trivial                  : 115
% 15.65/2.92  # ...subsumed                          : 11576
% 15.65/2.92  # ...remaining for further processing  : 7091
% 15.65/2.92  # Other redundant clauses eliminated   : 415
% 15.65/2.92  # Clauses deleted for lack of memory   : 0
% 15.65/2.92  # Backward-subsumed                    : 290
% 15.65/2.92  # Backward-rewritten                   : 290
% 15.65/2.92  # Generated clauses                    : 57830
% 15.65/2.92  # ...of the previous two non-redundant : 50413
% 15.65/2.92  # ...aggressively subsumed             : 0
% 15.65/2.92  # Contextual simplify-reflections      : 85
% 15.65/2.92  # Paramodulations                      : 57369
% 15.65/2.92  # Factorizations                       : 5
% 15.65/2.92  # NegExts                              : 0
% 15.65/2.92  # Equation resolutions                 : 456
% 15.65/2.92  # Total rewrite steps                  : 29054
% 15.65/2.92  # Propositional unsat checks           : 1
% 15.65/2.92  #    Propositional check models        : 1
% 15.65/2.92  #    Propositional check unsatisfiable : 0
% 15.65/2.92  #    Propositional clauses             : 0
% 15.65/2.92  #    Propositional clauses after purity: 0
% 15.65/2.92  #    Propositional unsat core size     : 0
% 15.65/2.92  #    Propositional preprocessing time  : 0.000
% 15.65/2.92  #    Propositional encoding time       : 0.023
% 15.65/2.92  #    Propositional solver time         : 0.017
% 15.65/2.92  #    Success case prop preproc time    : 0.000
% 15.65/2.92  #    Success case prop encoding time   : 0.000
% 15.65/2.92  #    Success case prop solver time     : 0.000
% 15.65/2.92  # Current number of processed clauses  : 4075
% 15.65/2.92  #    Positive orientable unit clauses  : 585
% 15.65/2.92  #    Positive unorientable unit clauses: 8
% 15.65/2.92  #    Negative unit clauses             : 282
% 15.65/2.92  #    Non-unit-clauses                  : 3200
% 15.65/2.92  # Current number of unprocessed clauses: 35090
% 15.65/2.92  # ...number of literals in the above   : 123145
% 15.65/2.92  # Current number of archived formulas  : 0
% 15.65/2.92  # Current number of archived clauses   : 3016
% 15.65/2.92  # Clause-clause subsumption calls (NU) : 8282378
% 15.65/2.92  # Rec. Clause-clause subsumption calls : 4518782
% 15.65/2.92  # Non-unit clause-clause subsumptions  : 6743
% 15.65/2.92  # Unit Clause-clause subsumption calls : 84132
% 15.65/2.92  # Rewrite failures with RHS unbound    : 0
% 15.65/2.92  # BW rewrite match attempts            : 1636
% 15.65/2.92  # BW rewrite match successes           : 126
% 15.65/2.92  # Condensation attempts                : 0
% 15.65/2.92  # Condensation successes               : 0
% 15.65/2.92  # Termbank termtop insertions          : 1021080
% 15.65/2.92  
% 15.65/2.92  # -------------------------------------------------
% 15.65/2.92  # User time                : 1.860 s
% 15.65/2.92  # System time              : 0.046 s
% 15.65/2.92  # Total time               : 1.906 s
% 15.65/2.92  # Maximum resident set size: 6708 pages
% 15.65/2.92  
% 15.65/2.92  # -------------------------------------------------
% 15.65/2.92  # User time                : 1.894 s
% 15.65/2.92  # System time              : 0.047 s
% 15.65/2.92  # Total time               : 1.940 s
% 15.65/2.92  # Maximum resident set size: 3524 pages
% 15.65/2.92  % E---3.1 exiting
% 15.65/2.92  % E---3.1 exiting
%------------------------------------------------------------------------------