TSTP Solution File: NUM855+1 by E-SAT---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.2.0
% Problem  : NUM855+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d SAT

% Computer : n021.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 Jun 24 12:49:47 EDT 2024

% Result   : Theorem 0.78s 0.64s
% Output   : CNFRefutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   77 (  53 unt;   0 def)
%            Number of atoms       :  112 (  63 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   84 (  49   ~;  30   |;   2   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :  132 (  23 sgn  65   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('ass(cond(goal(130), 0), 2)',axiom,
    ! [X76,X77] :
      ( ~ greater(X76,X77)
      | ~ less(X76,X77) ),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','ass(cond(goal(130), 0), 2)') ).

fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
    ! [X78,X79] :
      ( less(X79,X78)
    <=> ? [X80] : X78 = vplus(X79,X80) ),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','def(cond(conseq(axiom(3)), 12), 1)') ).

fof('ass(cond(61, 0), 0)',axiom,
    ! [X93,X94] : vplus(X94,X93) = vplus(X93,X94),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','ass(cond(61, 0), 0)') ).

fof('ass(cond(73, 0), 0)',axiom,
    ! [X91,X92] : X92 != vplus(X91,X92),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','ass(cond(73, 0), 0)') ).

fof('ass(cond(33, 0), 0)',axiom,
    ! [X98,X99,X100] : vplus(vplus(X98,X99),X100) = vplus(X98,vplus(X99,X100)),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','ass(cond(33, 0), 0)') ).

fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
    ! [X81,X82] :
      ( greater(X82,X81)
    <=> ? [X83] : X82 = vplus(X81,X83) ),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','def(cond(conseq(axiom(3)), 11), 1)') ).

fof('holds(conjunct2(315), 515, 1)',axiom,
    greater(vmul(vd511,vd509),vmul(vd512,vd509)),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','holds(conjunct2(315), 515, 1)') ).

fof('holds(conjunct2(315), 515, 0)',axiom,
    vmul(vd509,vd511) = vmul(vd511,vd509),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','holds(conjunct2(315), 515, 0)') ).

fof('holds(conjunct2(315), 515, 2)',axiom,
    vmul(vd512,vd509) = vmul(vd509,vd512),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','holds(conjunct2(315), 515, 2)') ).

fof('ass(cond(goal(88), 0), 1)',axiom,
    ! [X84,X85] :
      ( X84 != X85
      | ~ ? [X87] : X85 = vplus(X84,X87) ),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','ass(cond(goal(88), 0), 1)') ).

fof('ass(cond(281, 0), 0)',axiom,
    ! [X20,X21,X22] : vmul(X20,vplus(X21,X22)) = vplus(vmul(X20,X21),vmul(X20,X22)),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','ass(cond(281, 0), 0)') ).

fof('ass(cond(270, 0), 0)',axiom,
    ! [X23,X24] : vmul(X23,X24) = vmul(X24,X23),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','ass(cond(270, 0), 0)') ).

fof('holds(conjunct1(314), 510, 0)',axiom,
    greater(vd508,vd509),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','holds(conjunct1(314), 510, 0)') ).

fof('ass(cond(goal(88), 0), 0)',axiom,
    ! [X84,X85] :
      ( X84 = X85
      | ? [X86] : X84 = vplus(X85,X86)
      | ? [X87] : X85 = vplus(X84,X87) ),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','ass(cond(goal(88), 0), 0)') ).

fof('ass(cond(147, 0), 0)',axiom,
    ! [X72,X73] :
      ( less(X72,X73)
     => greater(X73,X72) ),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','ass(cond(147, 0), 0)') ).

fof('ass(cond(goal(130), 0), 0)',axiom,
    ! [X76,X77] :
      ( X76 = X77
      | greater(X76,X77)
      | less(X76,X77) ),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','ass(cond(goal(130), 0), 0)') ).

fof('holds(conseq_conjunct2(315), 516, 0)',conjecture,
    greater(vmul(vd508,vd511),vmul(vd509,vd512)),
    file('/export/starexec/sandbox/tmp/tmp.7fxjWBi04p/E---3.1_13607.p','holds(conseq_conjunct2(315), 516, 0)') ).

fof(c_0_17,plain,
    ! [X76,X77] :
      ( ~ greater(X76,X77)
      | ~ less(X76,X77) ),
    inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).

fof(c_0_18,plain,
    ! [X207,X208,X210,X211,X212] :
      ( ( ~ less(X208,X207)
        | X207 = vplus(X208,esk1_2(X207,X208)) )
      & ( X210 != vplus(X211,X212)
        | less(X211,X210) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 12), 1)'])])])])])]) ).

fof(c_0_19,plain,
    ! [X203,X204] :
      ( ~ greater(X203,X204)
      | ~ less(X203,X204) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_17])]) ).

cnf(c_0_20,plain,
    ( less(X2,X1)
    | X1 != vplus(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_21,plain,
    ( ~ greater(X1,X2)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,plain,
    less(X1,vplus(X1,X2)),
    inference(er,[status(thm)],[c_0_20]) ).

fof(c_0_23,plain,
    ! [X238,X239] : vplus(X239,X238) = vplus(X238,X239),
    inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).

fof(c_0_24,plain,
    ! [X91,X92] : X92 != vplus(X91,X92),
    inference(fof_simplification,[status(thm)],['ass(cond(73, 0), 0)']) ).

cnf(c_0_25,plain,
    ~ greater(X1,vplus(X1,X2)),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,plain,
    vplus(X1,X2) = vplus(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_27,plain,
    ! [X243,X244,X245] : vplus(vplus(X243,X244),X245) = vplus(X243,vplus(X244,X245)),
    inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).

fof(c_0_28,plain,
    ! [X236,X237] : X237 != vplus(X236,X237),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_24])]) ).

cnf(c_0_29,plain,
    ~ greater(X1,vplus(X2,X1)),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_30,plain,
    vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_31,plain,
    ! [X213,X214,X216,X217,X218] :
      ( ( ~ greater(X214,X213)
        | X214 = vplus(X213,esk2_2(X213,X214)) )
      & ( X217 != vplus(X216,X218)
        | greater(X217,X216) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 11), 1)'])])])])])]) ).

cnf(c_0_32,plain,
    greater(vmul(vd511,vd509),vmul(vd512,vd509)),
    inference(split_conjunct,[status(thm)],['holds(conjunct2(315), 515, 1)']) ).

cnf(c_0_33,plain,
    vmul(vd509,vd511) = vmul(vd511,vd509),
    inference(split_conjunct,[status(thm)],['holds(conjunct2(315), 515, 0)']) ).

cnf(c_0_34,plain,
    vmul(vd512,vd509) = vmul(vd509,vd512),
    inference(split_conjunct,[status(thm)],['holds(conjunct2(315), 515, 2)']) ).

cnf(c_0_35,plain,
    X1 != vplus(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_36,plain,
    ! [X84,X85] :
      ( X84 != X85
      | ~ ? [X87] : X85 = vplus(X84,X87) ),
    inference(fof_simplification,[status(thm)],['ass(cond(goal(88), 0), 1)']) ).

cnf(c_0_37,plain,
    ~ greater(X1,vplus(X2,vplus(X3,X1))),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_38,plain,
    ( X1 = vplus(X2,esk2_2(X2,X1))
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_39,plain,
    greater(vmul(vd509,vd511),vmul(vd509,vd512)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).

fof(c_0_40,plain,
    ! [X131,X132,X133] : vmul(X131,vplus(X132,X133)) = vplus(vmul(X131,X132),vmul(X131,X133)),
    inference(variable_rename,[status(thm)],['ass(cond(281, 0), 0)']) ).

fof(c_0_41,plain,
    ! [X134,X135] : vmul(X134,X135) = vmul(X135,X134),
    inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).

cnf(c_0_42,plain,
    vplus(X1,vplus(X2,X3)) != X3,
    inference(spm,[status(thm)],[c_0_35,c_0_30]) ).

cnf(c_0_43,plain,
    greater(vd508,vd509),
    inference(split_conjunct,[status(thm)],['holds(conjunct1(314), 510, 0)']) ).

fof(c_0_44,plain,
    ! [X223,X224,X225] :
      ( X223 != X224
      | X224 != vplus(X223,X225) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).

cnf(c_0_45,plain,
    ~ greater(X1,vplus(X2,vplus(X1,X3))),
    inference(spm,[status(thm)],[c_0_37,c_0_26]) ).

cnf(c_0_46,plain,
    vplus(vmul(vd509,vd512),esk2_2(vmul(vd509,vd512),vmul(vd509,vd511))) = vmul(vd509,vd511),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_47,plain,
    vmul(X1,vplus(X2,X3)) = vplus(vmul(X1,X2),vmul(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_48,plain,
    vmul(X1,X2) = vmul(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_49,plain,
    vplus(X1,vplus(X2,X3)) != X2,
    inference(spm,[status(thm)],[c_0_42,c_0_26]) ).

cnf(c_0_50,plain,
    vplus(vd509,esk2_2(vd509,vd508)) = vd508,
    inference(spm,[status(thm)],[c_0_38,c_0_43]) ).

cnf(c_0_51,plain,
    ( X1 != X2
    | X2 != vplus(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_52,plain,
    ~ greater(vmul(vd509,vd512),vplus(X1,vmul(vd509,vd511))),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_53,plain,
    vplus(vmul(X1,X2),vmul(X3,X1)) = vmul(X1,vplus(X2,X3)),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_54,plain,
    vplus(X1,vd508) != vd509,
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

fof(c_0_55,plain,
    ! [X219,X220] :
      ( X219 = X220
      | X219 = vplus(X220,esk3_2(X219,X220))
      | X220 = vplus(X219,esk4_2(X219,X220)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).

cnf(c_0_56,plain,
    vplus(X1,X2) != X1,
    inference(er,[status(thm)],[c_0_51]) ).

cnf(c_0_57,plain,
    vplus(X1,vmul(vd509,vd511)) != vmul(vd509,vd512),
    inference(spm,[status(thm)],[c_0_49,c_0_46]) ).

cnf(c_0_58,plain,
    ~ greater(vmul(vd509,vd512),vmul(vd511,vplus(X1,vd509))),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_59,plain,
    vplus(vd508,X1) != vd509,
    inference(spm,[status(thm)],[c_0_54,c_0_26]) ).

cnf(c_0_60,plain,
    ( X1 = X2
    | X1 = vplus(X2,esk3_2(X1,X2))
    | X2 = vplus(X1,esk4_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_61,plain,
    vd509 != vd508,
    inference(spm,[status(thm)],[c_0_56,c_0_50]) ).

fof(c_0_62,plain,
    ! [X195,X196] :
      ( ~ less(X195,X196)
      | greater(X196,X195) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])])]) ).

fof(c_0_63,plain,
    ! [X199,X200] :
      ( X199 = X200
      | greater(X199,X200)
      | less(X199,X200) ),
    inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).

cnf(c_0_64,plain,
    vmul(vd511,vplus(X1,vd509)) != vmul(vd509,vd512),
    inference(spm,[status(thm)],[c_0_57,c_0_53]) ).

fof(c_0_65,negated_conjecture,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conseq_conjunct2(315), 516, 0)'])]) ).

cnf(c_0_66,plain,
    ~ greater(vmul(vd509,vd512),vmul(vd511,vplus(vd509,X1))),
    inference(spm,[status(thm)],[c_0_58,c_0_26]) ).

cnf(c_0_67,plain,
    vplus(vd509,esk4_2(vd509,vd508)) = vd508,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60])]),c_0_61]) ).

cnf(c_0_68,plain,
    ( greater(X2,X1)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_69,plain,
    ( X1 = X2
    | greater(X1,X2)
    | less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_70,plain,
    vmul(vd511,vplus(vd509,X1)) != vmul(vd509,vd512),
    inference(spm,[status(thm)],[c_0_64,c_0_26]) ).

fof(c_0_71,negated_conjecture,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
    inference(fof_nnf,[status(thm)],[c_0_65]) ).

cnf(c_0_72,plain,
    ~ greater(vmul(vd509,vd512),vmul(vd508,vd511)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_48]) ).

cnf(c_0_73,plain,
    ( X1 = X2
    | greater(X1,X2)
    | greater(X2,X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_74,plain,
    vmul(vd509,vd512) != vmul(vd508,vd511),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_67]),c_0_48]) ).

cnf(c_0_75,negated_conjecture,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_76,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_75]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM855+1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.12  % Command    : run_E %s %d SAT
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sun Jun 23 01:08:24 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  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.7fxjWBi04p/E---3.1_13607.p
% 0.78/0.64  # Version: 3.2.0
% 0.78/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.78/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.78/0.64  # Starting new_bool_3 with 300s (1) cores
% 0.78/0.64  # Starting new_bool_1 with 300s (1) cores
% 0.78/0.64  # Starting sh5l with 300s (1) cores
% 0.78/0.64  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 13684 completed with status 0
% 0.78/0.64  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.78/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.78/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.78/0.64  # No SInE strategy applied
% 0.78/0.64  # Search class: FGHSM-FFMM21-SFFFFFNN
% 0.78/0.64  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.78/0.64  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 811s (1) cores
% 0.78/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.78/0.64  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.78/0.64  # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.78/0.64  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 0.78/0.64  # G-E--_200_B02_F1_SE_CS_SP_PI_S0S with pid 13690 completed with status 0
% 0.78/0.64  # Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S0S
% 0.78/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.78/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.78/0.64  # No SInE strategy applied
% 0.78/0.64  # Search class: FGHSM-FFMM21-SFFFFFNN
% 0.78/0.64  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.78/0.64  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 811s (1) cores
% 0.78/0.64  # Preprocessing time       : 0.002 s
% 0.78/0.64  
% 0.78/0.64  # Proof found!
% 0.78/0.64  # SZS status Theorem
% 0.78/0.64  # SZS output start CNFRefutation
% See solution above
% 0.78/0.64  # Parsed axioms                        : 63
% 0.78/0.64  # Removed by relevancy pruning/SinE    : 0
% 0.78/0.64  # Initial clauses                      : 73
% 0.78/0.64  # Removed in clause preprocessing      : 3
% 0.78/0.64  # Initial clauses in saturation        : 70
% 0.78/0.64  # Processed clauses                    : 1553
% 0.78/0.64  # ...of these trivial                  : 59
% 0.78/0.64  # ...subsumed                          : 994
% 0.78/0.64  # ...remaining for further processing  : 500
% 0.78/0.64  # Other redundant clauses eliminated   : 60
% 0.78/0.64  # Clauses deleted for lack of memory   : 0
% 0.78/0.64  # Backward-subsumed                    : 9
% 0.78/0.64  # Backward-rewritten                   : 74
% 0.78/0.64  # Generated clauses                    : 9973
% 0.78/0.64  # ...of the previous two non-redundant : 9541
% 0.78/0.64  # ...aggressively subsumed             : 0
% 0.78/0.64  # Contextual simplify-reflections      : 0
% 0.78/0.64  # Paramodulations                      : 9905
% 0.78/0.64  # Factorizations                       : 2
% 0.78/0.64  # NegExts                              : 0
% 0.78/0.64  # Equation resolutions                 : 66
% 0.78/0.64  # Disequality decompositions           : 0
% 0.78/0.64  # Total rewrite steps                  : 4048
% 0.78/0.64  # ...of those cached                   : 3062
% 0.78/0.64  # Propositional unsat checks           : 0
% 0.78/0.64  #    Propositional check models        : 0
% 0.78/0.64  #    Propositional check unsatisfiable : 0
% 0.78/0.64  #    Propositional clauses             : 0
% 0.78/0.64  #    Propositional clauses after purity: 0
% 0.78/0.64  #    Propositional unsat core size     : 0
% 0.78/0.64  #    Propositional preprocessing time  : 0.000
% 0.78/0.64  #    Propositional encoding time       : 0.000
% 0.78/0.64  #    Propositional solver time         : 0.000
% 0.78/0.64  #    Success case prop preproc time    : 0.000
% 0.78/0.64  #    Success case prop encoding time   : 0.000
% 0.78/0.64  #    Success case prop solver time     : 0.000
% 0.78/0.64  # Current number of processed clauses  : 408
% 0.78/0.64  #    Positive orientable unit clauses  : 92
% 0.78/0.64  #    Positive unorientable unit clauses: 19
% 0.78/0.64  #    Negative unit clauses             : 164
% 0.78/0.64  #    Non-unit-clauses                  : 133
% 0.78/0.64  # Current number of unprocessed clauses: 8017
% 0.78/0.64  # ...number of literals in the above   : 12548
% 0.78/0.64  # Current number of archived formulas  : 0
% 0.78/0.64  # Current number of archived clauses   : 84
% 0.78/0.64  # Clause-clause subsumption calls (NU) : 1561
% 0.78/0.64  # Rec. Clause-clause subsumption calls : 1504
% 0.78/0.64  # Non-unit clause-clause subsumptions  : 106
% 0.78/0.64  # Unit Clause-clause subsumption calls : 4277
% 0.78/0.64  # Rewrite failures with RHS unbound    : 0
% 0.78/0.64  # BW rewrite match attempts            : 343
% 0.78/0.64  # BW rewrite match successes           : 91
% 0.78/0.64  # Condensation attempts                : 0
% 0.78/0.64  # Condensation successes               : 0
% 0.78/0.64  # Termbank termtop insertions          : 100488
% 0.78/0.64  # Search garbage collected termcells   : 747
% 0.78/0.64  
% 0.78/0.64  # -------------------------------------------------
% 0.78/0.64  # User time                : 0.138 s
% 0.78/0.64  # System time              : 0.005 s
% 0.78/0.64  # Total time               : 0.143 s
% 0.78/0.64  # Maximum resident set size: 1980 pages
% 0.78/0.64  
% 0.78/0.64  # -------------------------------------------------
% 0.78/0.64  # User time                : 0.664 s
% 0.78/0.64  # System time              : 0.033 s
% 0.78/0.64  # Total time               : 0.697 s
% 0.78/0.64  # Maximum resident set size: 1804 pages
% 0.78/0.64  % E---3.1 exiting
% 0.78/0.64  % E exiting
%------------------------------------------------------------------------------