TSTP Solution File: SET853-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET853-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n007.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 : Tue Aug 22 10:57:13 EDT 2023
% Result : Unsatisfiable 3.70s 1.97s
% Output : CNFRefutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of formulae : 64 ( 25 unt; 10 typ; 0 def)
% Number of atoms : 132 ( 17 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 142 ( 64 ~; 78 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 6 >; 9 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 58 (; 58 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_Zorn_Osucc > c_Zorn_OTFin__linear__lemma1__1 > c_Zorn_OTFin > #nlpp > tc_set > v_xa > v_x > v_S > t_a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(v_S,type,
v_S: $i ).
tff(c_Zorn_OTFin__linear__lemma1__1,type,
c_Zorn_OTFin__linear__lemma1__1: ( $i * $i * $i ) > $i ).
tff(tc_set,type,
tc_set: $i > $i ).
tff(v_xa,type,
v_xa: $i ).
tff(c_Zorn_Osucc,type,
c_Zorn_Osucc: ( $i * $i * $i ) > $i ).
tff(t_a,type,
t_a: $i ).
tff(c_Zorn_OTFin,type,
c_Zorn_OTFin: ( $i * $i ) > $i ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(f_52,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file(unknown,unknown) ).
tff(f_27,axiom,
c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file(unknown,unknown) ).
tff(f_42,axiom,
! [V_U] :
( c_lessequals(c_Zorn_Osucc(v_S,V_U,t_a),v_x,tc_set(tc_set(t_a)))
| ( V_U = v_x )
| ~ c_lessequals(V_U,v_x,tc_set(tc_set(t_a)))
| ~ c_in(V_U,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
file(unknown,unknown) ).
tff(f_107,axiom,
! [V_x,V_y,T_a,V_S] :
( ~ c_lessequals(V_x,V_y,tc_set(tc_set(T_a)))
| c_lessequals(V_x,c_Zorn_Osucc(V_S,V_y,T_a),tc_set(tc_set(T_a))) ),
file(unknown,unknown) ).
tff(f_32,axiom,
~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
file(unknown,unknown) ).
tff(f_26,axiom,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file(unknown,unknown) ).
tff(f_64,axiom,
! [V_m,V_S,T_a,V_n] :
( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
| c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ),
file(unknown,unknown) ).
tff(f_89,axiom,
! [V_m,V_S,T_a,V_n] :
( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| ( c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a) != V_m )
| c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
| c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ),
file(unknown,unknown) ).
tff(f_30,axiom,
v_xa != c_Zorn_Osucc(v_S,v_x,t_a),
file(unknown,unknown) ).
tff(f_28,axiom,
c_lessequals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
file(unknown,unknown) ).
tff(f_50,axiom,
! [V_B,V_A,T_a] :
( ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ( V_A = V_B ) ),
file(unknown,unknown) ).
tff(f_76,axiom,
! [V_m,V_S,T_a,V_n] :
( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),V_m,tc_set(tc_set(T_a)))
| c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ),
file(unknown,unknown) ).
tff(f_102,axiom,
! [V_m,V_S,T_a,V_n] :
( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| ~ c_lessequals(c_Zorn_Osucc(V_S,c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),T_a),V_m,tc_set(tc_set(T_a)))
| c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
| c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ),
file(unknown,unknown) ).
tff(c_16,plain,
! [V_A_5,T_a_6] : c_lessequals(V_A_5,V_A_5,tc_set(T_a_6)),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_4,plain,
c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_12,plain,
! [V_U_1] :
( ~ c_in(V_U_1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(V_U_1,v_x,tc_set(tc_set(t_a)))
| ( v_x = V_U_1 )
| c_lessequals(c_Zorn_Osucc(v_S,V_U_1,t_a),v_x,tc_set(tc_set(t_a))) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_40,plain,
! [V_x_32,V_S_33,V_y_34,T_a_35] :
( c_lessequals(V_x_32,c_Zorn_Osucc(V_S_33,V_y_34,T_a_35),tc_set(tc_set(T_a_35)))
| ~ c_lessequals(V_x_32,V_y_34,tc_set(tc_set(T_a_35))) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_10,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_46,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a))),
inference(resolution,[status(thm)],[c_40,c_10]) ).
tff(c_54,plain,
( ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| ( v_xa = v_x ) ),
inference(resolution,[status(thm)],[c_12,c_46]) ).
tff(c_57,plain,
( ~ c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| ( v_xa = v_x ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54]) ).
tff(c_58,plain,
~ c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))),
inference(splitLeft,[status(thm)],[c_57]) ).
tff(c_2,plain,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_18,plain,
! [V_S_8,V_m_7,T_a_9,V_n_10] :
( c_lessequals(c_Zorn_Osucc(V_S_8,V_m_7,T_a_9),V_n_10,tc_set(tc_set(T_a_9)))
| c_lessequals(V_n_10,V_m_7,tc_set(tc_set(T_a_9)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(V_S_8,V_m_7,T_a_9),c_Zorn_OTFin(V_S_8,T_a_9),tc_set(tc_set(T_a_9)))
| ~ c_in(V_n_10,c_Zorn_OTFin(V_S_8,T_a_9),tc_set(tc_set(T_a_9)))
| ~ c_in(V_m_7,c_Zorn_OTFin(V_S_8,T_a_9),tc_set(tc_set(T_a_9))) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_87,plain,
! [V_S_46,V_m_47,T_a_48,V_n_49] :
( c_lessequals(c_Zorn_Osucc(V_S_46,V_m_47,T_a_48),V_n_49,tc_set(tc_set(T_a_48)))
| c_lessequals(V_n_49,V_m_47,tc_set(tc_set(T_a_48)))
| ( c_Zorn_OTFin__linear__lemma1__1(V_S_46,V_m_47,T_a_48) != V_m_47 )
| ~ c_in(V_n_49,c_Zorn_OTFin(V_S_46,T_a_48),tc_set(tc_set(T_a_48)))
| ~ c_in(V_m_47,c_Zorn_OTFin(V_S_46,T_a_48),tc_set(tc_set(T_a_48))) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_8,plain,
c_Zorn_Osucc(v_S,v_x,t_a) != v_xa,
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_6,plain,
c_lessequals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_28,plain,
! [V_B_29,V_A_30,T_a_31] :
( ( V_B_29 = V_A_30 )
| ~ c_lessequals(V_A_30,V_B_29,tc_set(T_a_31))
| ~ c_lessequals(V_B_29,V_A_30,tc_set(T_a_31)) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_30,plain,
( ( c_Zorn_Osucc(v_S,v_x,t_a) = v_xa )
| ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c_6,c_28]) ).
tff(c_35,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))),
inference(negUnitSimplification,[status(thm)],[c_8,c_30]) ).
tff(c_101,plain,
( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| ( c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) != v_x )
| ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c_87,c_35]) ).
tff(c_115,plain,
( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| ( c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) != v_x ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4,c_101]) ).
tff(c_116,plain,
c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) != v_x,
inference(negUnitSimplification,[status(thm)],[c_58,c_115]) ).
tff(c_120,plain,
! [V_S_50,V_m_51,T_a_52,V_n_53] :
( c_lessequals(c_Zorn_Osucc(V_S_50,V_m_51,T_a_52),V_n_53,tc_set(tc_set(T_a_52)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(V_S_50,V_m_51,T_a_52),V_m_51,tc_set(tc_set(T_a_52)))
| c_lessequals(V_n_53,V_m_51,tc_set(tc_set(T_a_52)))
| ~ c_in(V_n_53,c_Zorn_OTFin(V_S_50,T_a_52),tc_set(tc_set(T_a_52)))
| ~ c_in(V_m_51,c_Zorn_OTFin(V_S_50,T_a_52),tc_set(tc_set(T_a_52))) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_134,plain,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c_120,c_35]) ).
tff(c_150,plain,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4,c_134]) ).
tff(c_151,plain,
c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a))),
inference(negUnitSimplification,[status(thm)],[c_58,c_150]) ).
tff(c_184,plain,
! [V_S_58,V_m_59,T_a_60,V_n_61] :
( c_lessequals(c_Zorn_Osucc(V_S_58,V_m_59,T_a_60),V_n_61,tc_set(tc_set(T_a_60)))
| c_lessequals(V_n_61,V_m_59,tc_set(tc_set(T_a_60)))
| ~ c_lessequals(c_Zorn_Osucc(V_S_58,c_Zorn_OTFin__linear__lemma1__1(V_S_58,V_m_59,T_a_60),T_a_60),V_m_59,tc_set(tc_set(T_a_60)))
| ~ c_in(V_n_61,c_Zorn_OTFin(V_S_58,T_a_60),tc_set(tc_set(T_a_60)))
| ~ c_in(V_m_59,c_Zorn_OTFin(V_S_58,T_a_60),tc_set(tc_set(T_a_60))) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_194,plain,
! [V_n_61] :
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),V_n_61,tc_set(tc_set(t_a)))
| c_lessequals(V_n_61,v_x,tc_set(tc_set(t_a)))
| ~ c_in(V_n_61,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
| ( c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x ) ),
inference(resolution,[status(thm)],[c_12,c_184]) ).
tff(c_202,plain,
! [V_n_61] :
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),V_n_61,tc_set(tc_set(t_a)))
| c_lessequals(V_n_61,v_x,tc_set(tc_set(t_a)))
| ~ c_in(V_n_61,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ( c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151,c_2,c_194]) ).
tff(c_203,plain,
! [V_n_61] :
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),V_n_61,tc_set(tc_set(t_a)))
| c_lessequals(V_n_61,v_x,tc_set(tc_set(t_a)))
| ~ c_in(V_n_61,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_202]) ).
tff(c_354,plain,
~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(splitLeft,[status(thm)],[c_203]) ).
tff(c_357,plain,
! [V_n_10] :
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),V_n_10,tc_set(tc_set(t_a)))
| c_lessequals(V_n_10,v_x,tc_set(tc_set(t_a)))
| ~ c_in(V_n_10,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c_18,c_354]) ).
tff(c_362,plain,
! [V_n_85] :
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),V_n_85,tc_set(tc_set(t_a)))
| c_lessequals(V_n_85,v_x,tc_set(tc_set(t_a)))
| ~ c_in(V_n_85,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_357]) ).
tff(c_377,plain,
( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c_362,c_35]) ).
tff(c_386,plain,
c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_377]) ).
tff(c_388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_386]) ).
tff(c_391,plain,
! [V_n_86] :
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),V_n_86,tc_set(tc_set(t_a)))
| c_lessequals(V_n_86,v_x,tc_set(tc_set(t_a)))
| ~ c_in(V_n_86,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(splitRight,[status(thm)],[c_203]) ).
tff(c_406,plain,
( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c_391,c_35]) ).
tff(c_415,plain,
c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_406]) ).
tff(c_417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_415]) ).
tff(c_418,plain,
v_xa = v_x,
inference(splitRight,[status(thm)],[c_57]) ).
tff(c_421,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
inference(demodulation,[status(thm),theory(equality)],[c_418,c_10]) ).
tff(c_428,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_421]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET853-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 3 15:56:09 EDT 2023
% 0.16/0.36 % CPUTime :
% 3.70/1.97 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.70/1.98
% 3.70/1.98 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.04/2.01
% 4.04/2.01 Inference rules
% 4.04/2.01 ----------------------
% 4.04/2.01 #Ref : 0
% 4.04/2.01 #Sup : 76
% 4.04/2.01 #Fact : 0
% 4.04/2.01 #Define : 0
% 4.04/2.01 #Split : 5
% 4.04/2.01 #Chain : 0
% 4.04/2.01 #Close : 0
% 4.04/2.01
% 4.04/2.01 Ordering : KBO
% 4.04/2.01
% 4.04/2.01 Simplification rules
% 4.04/2.01 ----------------------
% 4.04/2.01 #Subsume : 7
% 4.04/2.01 #Demod : 29
% 4.04/2.01 #Tautology : 15
% 4.04/2.01 #SimpNegUnit : 11
% 4.04/2.01 #BackRed : 6
% 4.04/2.01
% 4.04/2.01 #Partial instantiations: 0
% 4.04/2.01 #Strategies tried : 1
% 4.04/2.01
% 4.04/2.01 Timing (in seconds)
% 4.04/2.01 ----------------------
% 4.04/2.02 Preprocessing : 0.48
% 4.04/2.02 Parsing : 0.27
% 4.04/2.02 CNF conversion : 0.02
% 4.04/2.02 Main loop : 0.45
% 4.04/2.02 Inferencing : 0.17
% 4.04/2.02 Reduction : 0.11
% 4.04/2.02 Demodulation : 0.08
% 4.04/2.02 BG Simplification : 0.02
% 4.04/2.02 Subsumption : 0.12
% 4.04/2.02 Abstraction : 0.02
% 4.04/2.02 MUC search : 0.00
% 4.04/2.02 Cooper : 0.00
% 4.04/2.02 Total : 0.98
% 4.04/2.02 Index Insertion : 0.00
% 4.04/2.02 Index Deletion : 0.00
% 4.04/2.02 Index Matching : 0.00
% 4.04/2.02 BG Taut test : 0.00
%------------------------------------------------------------------------------