TSTP Solution File: REL050+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : REL050+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 19:14:37 EDT 2023

% Result   : Theorem 2.42s 0.79s
% Output   : CNFRefutation 2.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   90 (  90 unt;   0 def)
%            Number of atoms       :   90 (  89 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  132 (   7 sgn;  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(converse_multiplicativity,axiom,
    ! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    file('/export/starexec/sandbox/tmp/tmp.oCgAUlSFcw/E---3.1_16377.p',converse_multiplicativity) ).

fof(converse_idempotence,axiom,
    ! [X1] : converse(converse(X1)) = X1,
    file('/export/starexec/sandbox/tmp/tmp.oCgAUlSFcw/E---3.1_16377.p',converse_idempotence) ).

fof(composition_identity,axiom,
    ! [X1] : composition(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/tmp.oCgAUlSFcw/E---3.1_16377.p',composition_identity) ).

fof(converse_cancellativity,axiom,
    ! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    file('/export/starexec/sandbox/tmp/tmp.oCgAUlSFcw/E---3.1_16377.p',converse_cancellativity) ).

fof(maddux1_join_commutativity,axiom,
    ! [X1,X2] : join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.oCgAUlSFcw/E---3.1_16377.p',maddux1_join_commutativity) ).

fof(def_zero,axiom,
    ! [X1] : zero = meet(X1,complement(X1)),
    file('/export/starexec/sandbox/tmp/tmp.oCgAUlSFcw/E---3.1_16377.p',def_zero) ).

fof(maddux4_definiton_of_meet,axiom,
    ! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
    file('/export/starexec/sandbox/tmp/tmp.oCgAUlSFcw/E---3.1_16377.p',maddux4_definiton_of_meet) ).

fof(def_top,axiom,
    ! [X1] : top = join(X1,complement(X1)),
    file('/export/starexec/sandbox/tmp/tmp.oCgAUlSFcw/E---3.1_16377.p',def_top) ).

fof(maddux3_a_kind_of_de_Morgan,axiom,
    ! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
    file('/export/starexec/sandbox/tmp/tmp.oCgAUlSFcw/E---3.1_16377.p',maddux3_a_kind_of_de_Morgan) ).

fof(maddux2_join_associativity,axiom,
    ! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    file('/export/starexec/sandbox/tmp/tmp.oCgAUlSFcw/E---3.1_16377.p',maddux2_join_associativity) ).

fof(converse_additivity,axiom,
    ! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    file('/export/starexec/sandbox/tmp/tmp.oCgAUlSFcw/E---3.1_16377.p',converse_additivity) ).

fof(composition_distributivity,axiom,
    ! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    file('/export/starexec/sandbox/tmp/tmp.oCgAUlSFcw/E---3.1_16377.p',composition_distributivity) ).

fof(composition_associativity,axiom,
    ! [X1,X2,X3] : composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
    file('/export/starexec/sandbox/tmp/tmp.oCgAUlSFcw/E---3.1_16377.p',composition_associativity) ).

fof(goals,conjecture,
    ! [X1] : complement(composition(X1,top)) = composition(complement(composition(X1,top)),top),
    file('/export/starexec/sandbox/tmp/tmp.oCgAUlSFcw/E---3.1_16377.p',goals) ).

fof(c_0_14,plain,
    ! [X23,X24] : converse(composition(X23,X24)) = composition(converse(X24),converse(X23)),
    inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).

fof(c_0_15,plain,
    ! [X20] : converse(converse(X20)) = X20,
    inference(variable_rename,[status(thm)],[converse_idempotence]) ).

cnf(c_0_16,plain,
    converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_17,plain,
    converse(converse(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_18,plain,
    ! [X16] : composition(X16,one) = X16,
    inference(variable_rename,[status(thm)],[composition_identity]) ).

cnf(c_0_19,plain,
    converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    composition(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_21,plain,
    ! [X25,X26] : join(composition(converse(X25),complement(composition(X25,X26))),complement(X26)) = complement(X26),
    inference(variable_rename,[status(thm)],[converse_cancellativity]) ).

fof(c_0_22,plain,
    ! [X4,X5] : join(X4,X5) = join(X5,X4),
    inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).

cnf(c_0_23,plain,
    composition(converse(one),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_17]) ).

fof(c_0_24,plain,
    ! [X28] : zero = meet(X28,complement(X28)),
    inference(variable_rename,[status(thm)],[def_zero]) ).

fof(c_0_25,plain,
    ! [X11,X12] : meet(X11,X12) = complement(join(complement(X11),complement(X12))),
    inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).

cnf(c_0_26,plain,
    join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_27,plain,
    join(X1,X2) = join(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_28,plain,
    converse(one) = one,
    inference(spm,[status(thm)],[c_0_20,c_0_23]) ).

cnf(c_0_29,plain,
    zero = meet(X1,complement(X1)),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,plain,
    meet(X1,X2) = complement(join(complement(X1),complement(X2))),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_31,plain,
    ! [X27] : top = join(X27,complement(X27)),
    inference(variable_rename,[status(thm)],[def_top]) ).

cnf(c_0_32,plain,
    join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_33,plain,
    composition(one,X1) = X1,
    inference(rw,[status(thm)],[c_0_23,c_0_28]) ).

cnf(c_0_34,plain,
    zero = complement(join(complement(X1),complement(complement(X1)))),
    inference(rw,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,plain,
    top = join(X1,complement(X1)),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_36,plain,
    ! [X9,X10] : X9 = join(complement(join(complement(X9),complement(X10))),complement(join(complement(X9),X10))),
    inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).

fof(c_0_37,plain,
    ! [X6,X7,X8] : join(X6,join(X7,X8)) = join(join(X6,X7),X8),
    inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).

cnf(c_0_38,plain,
    join(complement(X1),complement(X1)) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_28]),c_0_33]) ).

cnf(c_0_39,plain,
    complement(top) = zero,
    inference(rw,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_40,plain,
    X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_41,plain,
    join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_42,plain,
    join(zero,zero) = zero,
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
    inference(rw,[status(thm)],[c_0_40,c_0_27]) ).

cnf(c_0_44,plain,
    join(zero,join(zero,X1)) = join(zero,X1),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_45,plain,
    join(zero,complement(complement(X1))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_38]),c_0_39]),c_0_27]) ).

cnf(c_0_46,plain,
    join(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_47,plain,
    complement(complement(X1)) = X1,
    inference(rw,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_48,plain,
    join(X1,X1) = X1,
    inference(spm,[status(thm)],[c_0_38,c_0_47]) ).

cnf(c_0_49,plain,
    join(X1,join(X1,X2)) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_41,c_0_48]) ).

cnf(c_0_50,plain,
    join(X1,complement(join(complement(X1),X2))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_43]),c_0_27]) ).

cnf(c_0_51,plain,
    join(X1,join(X2,X1)) = join(X2,X1),
    inference(spm,[status(thm)],[c_0_49,c_0_27]) ).

cnf(c_0_52,plain,
    join(X1,join(complement(X1),X2)) = join(top,X2),
    inference(spm,[status(thm)],[c_0_41,c_0_35]) ).

fof(c_0_53,plain,
    ! [X21,X22] : converse(join(X21,X22)) = join(converse(X21),converse(X22)),
    inference(variable_rename,[status(thm)],[converse_additivity]) ).

cnf(c_0_54,plain,
    join(X1,complement(join(X2,complement(X1)))) = X1,
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_55,plain,
    join(top,complement(X1)) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_38]),c_0_35]) ).

cnf(c_0_56,plain,
    converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_57,plain,
    join(complement(X1),complement(join(X2,X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_54,c_0_47]) ).

cnf(c_0_58,plain,
    join(X1,top) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_35]),c_0_55]) ).

cnf(c_0_59,plain,
    converse(join(converse(X1),X2)) = join(X1,converse(X2)),
    inference(spm,[status(thm)],[c_0_56,c_0_17]) ).

cnf(c_0_60,plain,
    join(complement(X1),complement(join(complement(X1),complement(X2)))) = join(complement(X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_43]),c_0_47]),c_0_27]),c_0_41]),c_0_57]) ).

cnf(c_0_61,plain,
    join(top,X1) = top,
    inference(spm,[status(thm)],[c_0_27,c_0_58]) ).

cnf(c_0_62,plain,
    join(X1,converse(top)) = converse(top),
    inference(spm,[status(thm)],[c_0_59,c_0_58]) ).

cnf(c_0_63,plain,
    join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_60,c_0_47]) ).

cnf(c_0_64,plain,
    converse(top) = top,
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

fof(c_0_65,plain,
    ! [X17,X18,X19] : composition(join(X17,X18),X19) = join(composition(X17,X19),composition(X18,X19)),
    inference(variable_rename,[status(thm)],[composition_distributivity]) ).

cnf(c_0_66,plain,
    join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_63]),c_0_49]) ).

cnf(c_0_67,plain,
    join(X1,converse(complement(converse(X1)))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_35]),c_0_64]) ).

cnf(c_0_68,plain,
    join(X1,zero) = X1,
    inference(spm,[status(thm)],[c_0_27,c_0_46]) ).

cnf(c_0_69,plain,
    composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_70,plain,
    join(X1,complement(converse(complement(converse(X1))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_39]),c_0_68]) ).

cnf(c_0_71,plain,
    join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
    inference(spm,[status(thm)],[c_0_69,c_0_33]) ).

cnf(c_0_72,plain,
    join(X1,converse(complement(converse(complement(X1))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_70]),c_0_17]),c_0_17]) ).

fof(c_0_73,plain,
    ! [X13,X14,X15] : composition(X13,composition(X14,X15)) = composition(composition(X13,X14),X15),
    inference(variable_rename,[status(thm)],[composition_associativity]) ).

cnf(c_0_74,plain,
    join(X1,composition(top,X1)) = composition(top,X1),
    inference(spm,[status(thm)],[c_0_71,c_0_58]) ).

cnf(c_0_75,plain,
    join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
    inference(spm,[status(thm)],[c_0_72,c_0_47]) ).

cnf(c_0_76,plain,
    composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_77,plain,
    composition(top,top) = top,
    inference(spm,[status(thm)],[c_0_61,c_0_74]) ).

cnf(c_0_78,plain,
    complement(converse(complement(converse(X1)))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_75]),c_0_47]),c_0_27]),c_0_70]) ).

cnf(c_0_79,plain,
    composition(top,composition(top,X1)) = composition(top,X1),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_80,plain,
    converse(complement(converse(X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_47,c_0_78]) ).

fof(c_0_81,negated_conjecture,
    ~ ! [X1] : complement(composition(X1,top)) = composition(complement(composition(X1,top)),top),
    inference(assume_negation,[status(cth)],[goals]) ).

cnf(c_0_82,plain,
    composition(top,complement(composition(top,X1))) = complement(composition(top,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_79]),c_0_64]),c_0_74]) ).

cnf(c_0_83,plain,
    composition(top,converse(X1)) = converse(composition(X1,top)),
    inference(spm,[status(thm)],[c_0_16,c_0_64]) ).

cnf(c_0_84,plain,
    complement(converse(X1)) = converse(complement(X1)),
    inference(spm,[status(thm)],[c_0_17,c_0_80]) ).

fof(c_0_85,negated_conjecture,
    complement(composition(esk1_0,top)) != composition(complement(composition(esk1_0,top)),top),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])]) ).

cnf(c_0_86,plain,
    converse(composition(complement(composition(X1,top)),top)) = converse(complement(composition(X1,top))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_83]),c_0_84]) ).

cnf(c_0_87,negated_conjecture,
    complement(composition(esk1_0,top)) != composition(complement(composition(esk1_0,top)),top),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_88,plain,
    composition(complement(composition(X1,top)),top) = complement(composition(X1,top)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_86]),c_0_17]) ).

cnf(c_0_89,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : REL050+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 15:06:34 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  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.oCgAUlSFcw/E---3.1_16377.p
% 2.42/0.79  # Version: 3.1pre001
% 2.42/0.79  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.42/0.79  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.42/0.79  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.42/0.79  # Starting new_bool_3 with 300s (1) cores
% 2.42/0.79  # Starting new_bool_1 with 300s (1) cores
% 2.42/0.79  # Starting sh5l with 300s (1) cores
% 2.42/0.79  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 16483 completed with status 0
% 2.42/0.79  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.42/0.79  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.42/0.79  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.42/0.79  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.42/0.79  # No SInE strategy applied
% 2.42/0.79  # Search class: FUUPM-FFMF21-DFFFFFNN
% 2.42/0.79  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.42/0.79  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 811s (1) cores
% 2.42/0.79  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.42/0.79  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 136s (1) cores
% 2.42/0.79  # Starting new_bool_3 with 136s (1) cores
% 2.42/0.79  # Starting new_bool_1 with 136s (1) cores
% 2.42/0.79  # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 16494 completed with status 0
% 2.42/0.79  # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 2.42/0.79  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.42/0.79  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.42/0.79  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.42/0.79  # No SInE strategy applied
% 2.42/0.79  # Search class: FUUPM-FFMF21-DFFFFFNN
% 2.42/0.79  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.42/0.79  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 811s (1) cores
% 2.42/0.79  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.42/0.79  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 136s (1) cores
% 2.42/0.79  # Preprocessing time       : 0.001 s
% 2.42/0.79  # Presaturation interreduction done
% 2.42/0.79  
% 2.42/0.79  # Proof found!
% 2.42/0.79  # SZS status Theorem
% 2.42/0.79  # SZS output start CNFRefutation
% See solution above
% 2.42/0.79  # Parsed axioms                        : 17
% 2.42/0.79  # Removed by relevancy pruning/SinE    : 0
% 2.42/0.79  # Initial clauses                      : 17
% 2.42/0.79  # Removed in clause preprocessing      : 1
% 2.42/0.79  # Initial clauses in saturation        : 16
% 2.42/0.79  # Processed clauses                    : 1356
% 2.42/0.79  # ...of these trivial                  : 848
% 2.42/0.79  # ...subsumed                          : 138
% 2.42/0.79  # ...remaining for further processing  : 370
% 2.42/0.79  # Other redundant clauses eliminated   : 0
% 2.42/0.79  # Clauses deleted for lack of memory   : 0
% 2.42/0.79  # Backward-subsumed                    : 0
% 2.42/0.79  # Backward-rewritten                   : 87
% 2.42/0.79  # Generated clauses                    : 30121
% 2.42/0.79  # ...of the previous two non-redundant : 14828
% 2.42/0.79  # ...aggressively subsumed             : 0
% 2.42/0.79  # Contextual simplify-reflections      : 0
% 2.42/0.79  # Paramodulations                      : 30121
% 2.42/0.79  # Factorizations                       : 0
% 2.42/0.79  # NegExts                              : 0
% 2.42/0.79  # Equation resolutions                 : 0
% 2.42/0.79  # Total rewrite steps                  : 58506
% 2.42/0.79  # Propositional unsat checks           : 0
% 2.42/0.79  #    Propositional check models        : 0
% 2.42/0.79  #    Propositional check unsatisfiable : 0
% 2.42/0.79  #    Propositional clauses             : 0
% 2.42/0.79  #    Propositional clauses after purity: 0
% 2.42/0.79  #    Propositional unsat core size     : 0
% 2.42/0.79  #    Propositional preprocessing time  : 0.000
% 2.42/0.79  #    Propositional encoding time       : 0.000
% 2.42/0.79  #    Propositional solver time         : 0.000
% 2.42/0.79  #    Success case prop preproc time    : 0.000
% 2.42/0.79  #    Success case prop encoding time   : 0.000
% 2.42/0.79  #    Success case prop solver time     : 0.000
% 2.42/0.79  # Current number of processed clauses  : 267
% 2.42/0.79  #    Positive orientable unit clauses  : 259
% 2.42/0.79  #    Positive unorientable unit clauses: 8
% 2.42/0.79  #    Negative unit clauses             : 0
% 2.42/0.79  #    Non-unit-clauses                  : 0
% 2.42/0.79  # Current number of unprocessed clauses: 13244
% 2.42/0.79  # ...number of literals in the above   : 13244
% 2.42/0.79  # Current number of archived formulas  : 0
% 2.42/0.79  # Current number of archived clauses   : 104
% 2.42/0.79  # Clause-clause subsumption calls (NU) : 0
% 2.42/0.79  # Rec. Clause-clause subsumption calls : 0
% 2.42/0.79  # Non-unit clause-clause subsumptions  : 0
% 2.42/0.79  # Unit Clause-clause subsumption calls : 63
% 2.42/0.79  # Rewrite failures with RHS unbound    : 0
% 2.42/0.79  # BW rewrite match attempts            : 1234
% 2.42/0.79  # BW rewrite match successes           : 275
% 2.42/0.79  # Condensation attempts                : 0
% 2.42/0.79  # Condensation successes               : 0
% 2.42/0.79  # Termbank termtop insertions          : 375509
% 2.42/0.79  
% 2.42/0.79  # -------------------------------------------------
% 2.42/0.79  # User time                : 0.282 s
% 2.42/0.79  # System time              : 0.009 s
% 2.42/0.79  # Total time               : 0.291 s
% 2.42/0.79  # Maximum resident set size: 1772 pages
% 2.42/0.79  
% 2.42/0.79  # -------------------------------------------------
% 2.42/0.79  # User time                : 1.358 s
% 2.42/0.79  # System time              : 0.051 s
% 2.42/0.79  # Total time               : 1.409 s
% 2.42/0.79  # Maximum resident set size: 1688 pages
% 2.42/0.79  % E---3.1 exiting
%------------------------------------------------------------------------------