TSTP Solution File: LAT274-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT274-2 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 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 : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:46:36 EDT 2023
% Result : Unsatisfiable 7.76s 2.84s
% Output : CNFRefutation 7.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 34
% Syntax : Number of formulae : 139 ( 36 unt; 19 typ; 0 def)
% Number of atoms : 302 ( 18 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 296 ( 114 ~; 182 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 10 >; 20 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-4 aty)
% Number of variables : 173 (; 173 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Tarski_OisLub > c_lessequals > c_in > c_Tarski_Ointerval > c_Pair > v_sko__4mk > v_sko__4mj > v_sko__4mi > tc_prod > #nlpp > tc_set > v_r > v_cl > v_b > v_a > v_S > v_L > v_A > t_a > c_emptyset
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_S,type,
v_S: $i ).
tff(tc_set,type,
tc_set: $i > $i ).
tff(v_sko__4mi,type,
v_sko__4mi: ( $i * $i * $i ) > $i ).
tff(c_emptyset,type,
c_emptyset: $i ).
tff(v_sko__4mj,type,
v_sko__4mj: ( $i * $i * $i ) > $i ).
tff(t_a,type,
t_a: $i ).
tff(v_b,type,
v_b: $i ).
tff(v_cl,type,
v_cl: $i ).
tff(tc_prod,type,
tc_prod: ( $i * $i ) > $i ).
tff(v_L,type,
v_L: $i ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(v_sko__4mk,type,
v_sko__4mk: ( $i * $i * $i ) > $i ).
tff(v_a,type,
v_a: $i ).
tff(v_r,type,
v_r: $i ).
tff(c_Pair,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(c_Tarski_OisLub,type,
c_Tarski_OisLub: ( $i * $i * $i * $i ) > $o ).
tff(v_A,type,
v_A: $i ).
tff(c_Tarski_Ointerval,type,
c_Tarski_Ointerval: ( $i * $i * $i * $i ) > $i ).
tff(f_133,axiom,
~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
file(unknown,unknown) ).
tff(f_127,axiom,
c_in(v_b,v_A,t_a),
file(unknown,unknown) ).
tff(f_131,axiom,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file(unknown,unknown) ).
tff(f_115,axiom,
! [V_S,V_L,V_z] :
( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)
| ~ c_in(V_z,v_A,t_a)
| c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(V_S,v_r,V_z),V_S,t_a) ),
file(unknown,unknown) ).
tff(f_130,axiom,
v_S != c_emptyset,
file(unknown,unknown) ).
tff(f_128,axiom,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file(unknown,unknown) ).
tff(f_36,axiom,
! [V_S,V_A,V_a,V_L] :
( ~ c_lessequals(V_S,V_A,tc_set(t_a))
| c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(V_S,V_a,v_r),V_S,t_a)
| c_in(v_sko__4mk(V_L,V_S,v_r),V_S,t_a)
| ( V_S = c_emptyset ) ),
file(unknown,unknown) ).
tff(f_97,axiom,
! [V_r,V_a,T_a,V_b,V_x] :
( ~ c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
| ~ c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
| c_in(V_x,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_105,axiom,
! [V_S,V_L,V_y] :
( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)
| ~ c_in(V_y,V_S,t_a)
| c_in(c_Pair(V_y,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file(unknown,unknown) ).
tff(f_48,axiom,
! [V_L,V_S,V_A,V_a] :
( ~ c_in(c_Pair(v_sko__4mk(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(V_S,V_A,tc_set(t_a))
| c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(V_S,V_a,v_r),V_S,t_a)
| ( V_S = c_emptyset ) ),
file(unknown,unknown) ).
tff(f_81,axiom,
! [V_r,V_a,T_a,V_S,V_b,V_x] :
( ~ c_in(V_x,V_S,T_a)
| ~ c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a))
| c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [V_a,V_S,V_A,V_L] :
( ~ c_in(c_Pair(V_a,v_sko__4mj(V_S,V_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(V_S,V_A,tc_set(t_a))
| c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(V_L,V_S,v_r),V_S,t_a)
| ( V_S = c_emptyset ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
! [V_r,V_a,T_a,V_S,V_b,V_x] :
( ~ c_in(V_x,V_S,T_a)
| ~ c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a))
| c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ),
file(unknown,unknown) ).
tff(f_126,axiom,
! [V_S,V_L,V_z] :
( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)
| ~ c_in(V_z,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(V_S,v_r,V_z),V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file(unknown,unknown) ).
tff(f_73,axiom,
! [V_a,V_S,V_L,V_A] :
( ~ c_in(c_Pair(V_a,v_sko__4mj(V_S,V_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(V_S,V_A,tc_set(t_a))
| c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ( V_S = c_emptyset ) ),
file(unknown,unknown) ).
tff(c_30,plain,
~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_22,plain,
c_in(v_b,v_A,t_a),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_28,plain,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_46,plain,
! [V_S_61,V_z_62,V_L_63] :
( c_in(v_sko__4mi(V_S_61,v_r,V_z_62),V_S_61,t_a)
| c_in(c_Pair(V_L_63,V_z_62,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(V_z_62,v_A,t_a)
| ~ c_Tarski_OisLub(V_S_61,v_cl,V_L_63,t_a) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_49,plain,
! [V_z_62] :
( c_in(v_sko__4mi(v_S,v_r,V_z_62),v_S,t_a)
| c_in(c_Pair(v_L,V_z_62,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(V_z_62,v_A,t_a) ),
inference(resolution,[status(thm)],[c_28,c_46]) ).
tff(c_26,plain,
v_S != c_emptyset,
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_24,plain,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_81,plain,
! [V_S_72,V_L_73,V_a_74,V_A_75] :
( ( c_emptyset = V_S_72 )
| c_in(v_sko__4mk(V_L_73,V_S_72,v_r),V_S_72,t_a)
| c_in(v_sko__4mj(V_S_72,V_a_74,v_r),V_S_72,t_a)
| c_in(c_Pair(V_a_74,V_L_73,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(V_S_72,V_A_75,tc_set(t_a)) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_83,plain,
! [V_L_73,V_a_74] :
( ( v_S = c_emptyset )
| c_in(v_sko__4mk(V_L_73,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,V_a_74,v_r),v_S,t_a)
| c_in(c_Pair(V_a_74,V_L_73,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c_24,c_81]) ).
tff(c_182,plain,
! [V_L_103,V_a_104] :
( c_in(v_sko__4mk(V_L_103,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,V_a_104,v_r),v_S,t_a)
| c_in(c_Pair(V_a_104,V_L_103,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_83]) ).
tff(c_14,plain,
! [V_a_30,V_b_32,V_x_33,T_a_31,V_r_29] :
( c_in(V_x_33,c_Tarski_Ointerval(V_r_29,V_a_30,V_b_32,T_a_31),T_a_31)
| ~ c_in(c_Pair(V_a_30,V_x_33,T_a_31,T_a_31),V_r_29,tc_prod(T_a_31,T_a_31))
| ~ c_in(c_Pair(V_x_33,V_b_32,T_a_31,T_a_31),V_r_29,tc_prod(T_a_31,T_a_31)) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_463,plain,
! [V_L_147,V_a_148,V_b_149] :
( c_in(V_L_147,c_Tarski_Ointerval(v_r,V_a_148,V_b_149,t_a),t_a)
| ~ c_in(c_Pair(V_L_147,V_b_149,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(V_L_147,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,V_a_148,v_r),v_S,t_a) ),
inference(resolution,[status(thm)],[c_182,c_14]) ).
tff(c_484,plain,
! [V_a_148,V_z_62] :
( c_in(v_L,c_Tarski_Ointerval(v_r,V_a_148,V_z_62,t_a),t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,V_a_148,v_r),v_S,t_a)
| c_in(v_sko__4mi(v_S,v_r,V_z_62),v_S,t_a)
| ~ c_in(V_z_62,v_A,t_a) ),
inference(resolution,[status(thm)],[c_49,c_463]) ).
tff(c_702,plain,
c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a),
inference(splitLeft,[status(thm)],[c_484]) ).
tff(c_16,plain,
! [V_y_36,V_L_35,V_S_34] :
( c_in(c_Pair(V_y_36,V_L_35,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(V_y_36,V_S_34,t_a)
| ~ c_Tarski_OisLub(V_S_34,v_cl,V_L_35,t_a) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_706,plain,
! [V_L_184] :
( c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),V_L_184,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,V_L_184,t_a) ),
inference(resolution,[status(thm)],[c_702,c_16]) ).
tff(c_127,plain,
! [V_S_90,V_a_91,V_L_92,V_A_93] :
( ( c_emptyset = V_S_90 )
| c_in(v_sko__4mj(V_S_90,V_a_91,v_r),V_S_90,t_a)
| c_in(c_Pair(V_a_91,V_L_92,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(V_S_90,V_A_93,tc_set(t_a))
| ~ c_in(c_Pair(v_sko__4mk(V_L_92,V_S_90,v_r),V_L_92,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_129,plain,
! [V_a_91,V_L_92] :
( ( v_S = c_emptyset )
| c_in(v_sko__4mj(v_S,V_a_91,v_r),v_S,t_a)
| c_in(c_Pair(V_a_91,V_L_92,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(V_L_92,v_S,v_r),V_L_92,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c_24,c_127]) ).
tff(c_132,plain,
! [V_a_91,V_L_92] :
( c_in(v_sko__4mj(v_S,V_a_91,v_r),v_S,t_a)
| c_in(c_Pair(V_a_91,V_L_92,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(V_L_92,v_S,v_r),V_L_92,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_129]) ).
tff(c_722,plain,
! [V_a_91] :
( c_in(v_sko__4mj(v_S,V_a_91,v_r),v_S,t_a)
| c_in(c_Pair(V_a_91,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a) ),
inference(resolution,[status(thm)],[c_706,c_132]) ).
tff(c_805,plain,
! [V_a_188] :
( c_in(v_sko__4mj(v_S,V_a_188,v_r),v_S,t_a)
| c_in(c_Pair(V_a_188,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_722]) ).
tff(c_954,plain,
! [V_a_198,V_b_199] :
( c_in(v_L,c_Tarski_Ointerval(v_r,V_a_198,V_b_199,t_a),t_a)
| ~ c_in(c_Pair(v_L,V_b_199,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,V_a_198,v_r),v_S,t_a) ),
inference(resolution,[status(thm)],[c_805,c_14]) ).
tff(c_1182,plain,
! [V_a_218,V_z_219] :
( c_in(v_L,c_Tarski_Ointerval(v_r,V_a_218,V_z_219,t_a),t_a)
| c_in(v_sko__4mj(v_S,V_a_218,v_r),v_S,t_a)
| c_in(v_sko__4mi(v_S,v_r,V_z_219),v_S,t_a)
| ~ c_in(V_z_219,v_A,t_a) ),
inference(resolution,[status(thm)],[c_49,c_954]) ).
tff(c_41,plain,
! [V_b_55,V_a_59,V_S_56,T_a_57,V_x_54,V_r_58] :
( c_in(c_Pair(V_a_59,V_x_54,T_a_57,T_a_57),V_r_58,tc_prod(T_a_57,T_a_57))
| ~ c_lessequals(V_S_56,c_Tarski_Ointerval(V_r_58,V_a_59,V_b_55,T_a_57),tc_set(T_a_57))
| ~ c_in(V_x_54,V_S_56,T_a_57) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_44,plain,
! [V_x_54] :
( c_in(c_Pair(v_a,V_x_54,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(V_x_54,v_S,t_a) ),
inference(resolution,[status(thm)],[c_24,c_41]) ).
tff(c_116,plain,
! [V_S_84,V_L_85,V_a_86,V_A_87] :
( ( c_emptyset = V_S_84 )
| c_in(v_sko__4mk(V_L_85,V_S_84,v_r),V_S_84,t_a)
| c_in(c_Pair(V_a_86,V_L_85,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(V_S_84,V_A_87,tc_set(t_a))
| ~ c_in(c_Pair(V_a_86,v_sko__4mj(V_S_84,V_a_86,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_118,plain,
! [V_L_85,V_a_86] :
( ( v_S = c_emptyset )
| c_in(v_sko__4mk(V_L_85,v_S,v_r),v_S,t_a)
| c_in(c_Pair(V_a_86,V_L_85,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(V_a_86,v_sko__4mj(v_S,V_a_86,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c_24,c_116]) ).
tff(c_208,plain,
! [V_L_107,V_a_108] :
( c_in(v_sko__4mk(V_L_107,v_S,v_r),v_S,t_a)
| c_in(c_Pair(V_a_108,V_L_107,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(V_a_108,v_sko__4mj(v_S,V_a_108,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_118]) ).
tff(c_227,plain,
! [V_L_107] :
( c_in(v_sko__4mk(V_L_107,v_S,v_r),v_S,t_a)
| c_in(c_Pair(v_a,V_L_107,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(resolution,[status(thm)],[c_44,c_208]) ).
tff(c_251,plain,
~ c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a),
inference(splitLeft,[status(thm)],[c_227]) ).
tff(c_1198,plain,
! [V_z_220] :
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,V_z_220,t_a),t_a)
| c_in(v_sko__4mi(v_S,v_r,V_z_220),v_S,t_a)
| ~ c_in(V_z_220,v_A,t_a) ),
inference(resolution,[status(thm)],[c_1182,c_251]) ).
tff(c_36,plain,
! [T_a_48,V_x_49,V_r_51,V_b_47,V_S_52,V_a_50] :
( c_in(c_Pair(V_x_49,V_b_47,T_a_48,T_a_48),V_r_51,tc_prod(T_a_48,T_a_48))
| ~ c_lessequals(V_S_52,c_Tarski_Ointerval(V_r_51,V_a_50,V_b_47,T_a_48),tc_set(T_a_48))
| ~ c_in(V_x_49,V_S_52,T_a_48) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_39,plain,
! [V_x_49] :
( c_in(c_Pair(V_x_49,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(V_x_49,v_S,t_a) ),
inference(resolution,[status(thm)],[c_24,c_36]) ).
tff(c_96,plain,
! [V_L_77,V_z_78,V_S_79] :
( c_in(c_Pair(V_L_77,V_z_78,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mi(V_S_79,v_r,V_z_78),V_z_78,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(V_z_78,v_A,t_a)
| ~ c_Tarski_OisLub(V_S_79,v_cl,V_L_77,t_a) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_99,plain,
! [V_L_77,V_S_79] :
( c_in(c_Pair(V_L_77,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_b,v_A,t_a)
| ~ c_Tarski_OisLub(V_S_79,v_cl,V_L_77,t_a)
| ~ c_in(v_sko__4mi(V_S_79,v_r,v_b),v_S,t_a) ),
inference(resolution,[status(thm)],[c_39,c_96]) ).
tff(c_122,plain,
! [V_L_88,V_S_89] :
( c_in(c_Pair(V_L_88,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(V_S_89,v_cl,V_L_88,t_a)
| ~ c_in(v_sko__4mi(V_S_89,v_r,v_b),v_S,t_a) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_99]) ).
tff(c_125,plain,
( c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(resolution,[status(thm)],[c_28,c_122]) ).
tff(c_126,plain,
~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
inference(splitLeft,[status(thm)],[c_125]) ).
tff(c_1201,plain,
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a)
| ~ c_in(v_b,v_A,t_a) ),
inference(resolution,[status(thm)],[c_1198,c_126]) ).
tff(c_1206,plain,
c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_1201]) ).
tff(c_1208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_1206]) ).
tff(c_1273,plain,
! [V_a_225,V_z_226] :
( c_in(v_L,c_Tarski_Ointerval(v_r,V_a_225,V_z_226,t_a),t_a)
| c_in(v_sko__4mj(v_S,V_a_225,v_r),v_S,t_a)
| c_in(v_sko__4mi(v_S,v_r,V_z_226),v_S,t_a)
| ~ c_in(V_z_226,v_A,t_a) ),
inference(splitRight,[status(thm)],[c_484]) ).
tff(c_1289,plain,
! [V_z_227] :
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,V_z_227,t_a),t_a)
| c_in(v_sko__4mi(v_S,v_r,V_z_227),v_S,t_a)
| ~ c_in(V_z_227,v_A,t_a) ),
inference(resolution,[status(thm)],[c_1273,c_251]) ).
tff(c_1292,plain,
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a)
| ~ c_in(v_b,v_A,t_a) ),
inference(resolution,[status(thm)],[c_1289,c_126]) ).
tff(c_1297,plain,
c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_1292]) ).
tff(c_1299,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_1297]) ).
tff(c_1301,plain,
c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a),
inference(splitRight,[status(thm)],[c_227]) ).
tff(c_1318,plain,
! [V_L_230] :
( c_in(v_sko__4mk(V_L_230,v_S,v_r),v_S,t_a)
| c_in(c_Pair(v_a,V_L_230,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(splitRight,[status(thm)],[c_227]) ).
tff(c_1352,plain,
! [V_L_232,V_b_233] :
( c_in(V_L_232,c_Tarski_Ointerval(v_r,v_a,V_b_233,t_a),t_a)
| ~ c_in(c_Pair(V_L_232,V_b_233,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(V_L_232,v_S,v_r),v_S,t_a) ),
inference(resolution,[status(thm)],[c_1318,c_14]) ).
tff(c_1385,plain,
! [V_z_62] :
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,V_z_62,t_a),t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mi(v_S,v_r,V_z_62),v_S,t_a)
| ~ c_in(V_z_62,v_A,t_a) ),
inference(resolution,[status(thm)],[c_49,c_1352]) ).
tff(c_2145,plain,
c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a),
inference(splitLeft,[status(thm)],[c_1385]) ).
tff(c_2149,plain,
! [V_L_295] :
( c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),V_L_295,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,V_L_295,t_a) ),
inference(resolution,[status(thm)],[c_2145,c_16]) ).
tff(c_156,plain,
! [V_S_97,V_a_98,V_L_99,V_A_100] :
( ( c_emptyset = V_S_97 )
| c_in(c_Pair(V_a_98,V_L_99,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(V_S_97,V_A_100,tc_set(t_a))
| ~ c_in(c_Pair(v_sko__4mk(V_L_99,V_S_97,v_r),V_L_99,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(V_a_98,v_sko__4mj(V_S_97,V_a_98,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_158,plain,
! [V_a_98,V_L_99] :
( ( v_S = c_emptyset )
| c_in(c_Pair(V_a_98,V_L_99,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(V_L_99,v_S,v_r),V_L_99,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(V_a_98,v_sko__4mj(v_S,V_a_98,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c_24,c_156]) ).
tff(c_161,plain,
! [V_a_98,V_L_99] :
( c_in(c_Pair(V_a_98,V_L_99,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(V_L_99,v_S,v_r),V_L_99,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(V_a_98,v_sko__4mj(v_S,V_a_98,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_158]) ).
tff(c_2173,plain,
! [V_a_98] :
( c_in(c_Pair(V_a_98,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(V_a_98,v_sko__4mj(v_S,V_a_98,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a) ),
inference(resolution,[status(thm)],[c_2149,c_161]) ).
tff(c_2388,plain,
! [V_a_307] :
( c_in(c_Pair(V_a_307,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(V_a_307,v_sko__4mj(v_S,V_a_307,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_2173]) ).
tff(c_2436,plain,
( c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(resolution,[status(thm)],[c_44,c_2388]) ).
tff(c_2454,plain,
c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(demodulation,[status(thm),theory(equality)],[c_1301,c_2436]) ).
tff(c_2571,plain,
! [V_b_310] :
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,V_b_310,t_a),t_a)
| ~ c_in(c_Pair(v_L,V_b_310,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c_2454,c_14]) ).
tff(c_2606,plain,
! [V_z_311] :
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,V_z_311,t_a),t_a)
| c_in(v_sko__4mi(v_S,v_r,V_z_311),v_S,t_a)
| ~ c_in(V_z_311,v_A,t_a) ),
inference(resolution,[status(thm)],[c_49,c_2571]) ).
tff(c_2609,plain,
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a)
| ~ c_in(v_b,v_A,t_a) ),
inference(resolution,[status(thm)],[c_2606,c_126]) ).
tff(c_2614,plain,
c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_2609]) ).
tff(c_2616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_2614]) ).
tff(c_2704,plain,
! [V_z_316] :
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,V_z_316,t_a),t_a)
| c_in(v_sko__4mi(v_S,v_r,V_z_316),v_S,t_a)
| ~ c_in(V_z_316,v_A,t_a) ),
inference(splitRight,[status(thm)],[c_1385]) ).
tff(c_2707,plain,
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a)
| ~ c_in(v_b,v_A,t_a) ),
inference(resolution,[status(thm)],[c_2704,c_126]) ).
tff(c_2712,plain,
c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_2707]) ).
tff(c_2714,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_2712]) ).
tff(c_2715,plain,
c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(splitRight,[status(thm)],[c_125]) ).
tff(c_2806,plain,
! [V_L_332,V_a_333] :
( c_in(v_sko__4mk(V_L_332,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,V_a_333,v_r),v_S,t_a)
| c_in(c_Pair(V_a_333,V_L_332,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_83]) ).
tff(c_3135,plain,
! [V_L_370,V_a_371,V_b_372] :
( c_in(V_L_370,c_Tarski_Ointerval(v_r,V_a_371,V_b_372,t_a),t_a)
| ~ c_in(c_Pair(V_L_370,V_b_372,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(V_L_370,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,V_a_371,v_r),v_S,t_a) ),
inference(resolution,[status(thm)],[c_2806,c_14]) ).
tff(c_3158,plain,
! [V_a_371] :
( c_in(v_L,c_Tarski_Ointerval(v_r,V_a_371,v_b,t_a),t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,V_a_371,v_r),v_S,t_a) ),
inference(resolution,[status(thm)],[c_2715,c_3135]) ).
tff(c_3180,plain,
c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a),
inference(splitLeft,[status(thm)],[c_3158]) ).
tff(c_3185,plain,
! [V_L_378] :
( c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),V_L_378,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,V_L_378,t_a) ),
inference(resolution,[status(thm)],[c_3180,c_16]) ).
tff(c_2717,plain,
! [V_S_317,V_a_318,V_L_319,V_A_320] :
( ( c_emptyset = V_S_317 )
| c_in(v_sko__4mj(V_S_317,V_a_318,v_r),V_S_317,t_a)
| c_in(c_Pair(V_a_318,V_L_319,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(V_S_317,V_A_320,tc_set(t_a))
| ~ c_in(c_Pair(v_sko__4mk(V_L_319,V_S_317,v_r),V_L_319,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_2719,plain,
! [V_a_318,V_L_319] :
( ( v_S = c_emptyset )
| c_in(v_sko__4mj(v_S,V_a_318,v_r),v_S,t_a)
| c_in(c_Pair(V_a_318,V_L_319,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(V_L_319,v_S,v_r),V_L_319,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c_24,c_2717]) ).
tff(c_2722,plain,
! [V_a_318,V_L_319] :
( c_in(v_sko__4mj(v_S,V_a_318,v_r),v_S,t_a)
| c_in(c_Pair(V_a_318,V_L_319,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(V_L_319,v_S,v_r),V_L_319,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_2719]) ).
tff(c_3202,plain,
! [V_a_318] :
( c_in(v_sko__4mj(v_S,V_a_318,v_r),v_S,t_a)
| c_in(c_Pair(V_a_318,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a) ),
inference(resolution,[status(thm)],[c_3185,c_2722]) ).
tff(c_3234,plain,
! [V_a_380] :
( c_in(v_sko__4mj(v_S,V_a_380,v_r),v_S,t_a)
| c_in(c_Pair(V_a_380,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_3202]) ).
tff(c_3342,plain,
! [V_a_384,V_b_385] :
( c_in(v_L,c_Tarski_Ointerval(v_r,V_a_384,V_b_385,t_a),t_a)
| ~ c_in(c_Pair(v_L,V_b_385,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,V_a_384,v_r),v_S,t_a) ),
inference(resolution,[status(thm)],[c_3234,c_14]) ).
tff(c_3365,plain,
! [V_a_386] :
( c_in(v_L,c_Tarski_Ointerval(v_r,V_a_386,v_b,t_a),t_a)
| c_in(v_sko__4mj(v_S,V_a_386,v_r),v_S,t_a) ),
inference(resolution,[status(thm)],[c_2715,c_3342]) ).
tff(c_2880,plain,
! [V_L_340,V_a_341] :
( c_in(v_sko__4mk(V_L_340,v_S,v_r),v_S,t_a)
| c_in(c_Pair(V_a_341,V_L_340,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(V_a_341,v_sko__4mj(v_S,V_a_341,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_118]) ).
tff(c_2907,plain,
! [V_L_340] :
( c_in(v_sko__4mk(V_L_340,v_S,v_r),v_S,t_a)
| c_in(c_Pair(v_a,V_L_340,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(resolution,[status(thm)],[c_44,c_2880]) ).
tff(c_2909,plain,
~ c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a),
inference(splitLeft,[status(thm)],[c_2907]) ).
tff(c_3368,plain,
c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
inference(resolution,[status(thm)],[c_3365,c_2909]) ).
tff(c_3374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_3368]) ).
tff(c_3385,plain,
! [V_a_387] :
( c_in(v_L,c_Tarski_Ointerval(v_r,V_a_387,v_b,t_a),t_a)
| c_in(v_sko__4mj(v_S,V_a_387,v_r),v_S,t_a) ),
inference(splitRight,[status(thm)],[c_3158]) ).
tff(c_3388,plain,
c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
inference(resolution,[status(thm)],[c_3385,c_2909]) ).
tff(c_3394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_3388]) ).
tff(c_3396,plain,
c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a),
inference(splitRight,[status(thm)],[c_2907]) ).
tff(c_3400,plain,
! [V_L_388] :
( c_in(v_sko__4mk(V_L_388,v_S,v_r),v_S,t_a)
| c_in(c_Pair(v_a,V_L_388,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(splitRight,[status(thm)],[c_2907]) ).
tff(c_3469,plain,
! [V_L_397,V_b_398] :
( c_in(V_L_397,c_Tarski_Ointerval(v_r,v_a,V_b_398,t_a),t_a)
| ~ c_in(c_Pair(V_L_397,V_b_398,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(V_L_397,v_S,v_r),v_S,t_a) ),
inference(resolution,[status(thm)],[c_3400,c_14]) ).
tff(c_3490,plain,
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) ),
inference(resolution,[status(thm)],[c_2715,c_3469]) ).
tff(c_3511,plain,
c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a),
inference(negUnitSimplification,[status(thm)],[c_30,c_3490]) ).
tff(c_3525,plain,
! [V_L_400] :
( c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),V_L_400,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,V_L_400,t_a) ),
inference(resolution,[status(thm)],[c_3511,c_16]) ).
tff(c_2764,plain,
! [V_S_324,V_a_325,V_L_326,V_A_327] :
( ( c_emptyset = V_S_324 )
| c_in(c_Pair(V_a_325,V_L_326,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(V_S_324,V_A_327,tc_set(t_a))
| ~ c_in(c_Pair(v_sko__4mk(V_L_326,V_S_324,v_r),V_L_326,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(V_a_325,v_sko__4mj(V_S_324,V_a_325,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_2766,plain,
! [V_a_325,V_L_326] :
( ( v_S = c_emptyset )
| c_in(c_Pair(V_a_325,V_L_326,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(V_L_326,v_S,v_r),V_L_326,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(V_a_325,v_sko__4mj(v_S,V_a_325,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c_24,c_2764]) ).
tff(c_2769,plain,
! [V_a_325,V_L_326] :
( c_in(c_Pair(V_a_325,V_L_326,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(V_L_326,v_S,v_r),V_L_326,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(V_a_325,v_sko__4mj(v_S,V_a_325,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_2766]) ).
tff(c_3531,plain,
! [V_a_325] :
( c_in(c_Pair(V_a_325,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(V_a_325,v_sko__4mj(v_S,V_a_325,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a) ),
inference(resolution,[status(thm)],[c_3525,c_2769]) ).
tff(c_3923,plain,
! [V_a_428] :
( c_in(c_Pair(V_a_428,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(V_a_428,v_sko__4mj(v_S,V_a_428,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_3531]) ).
tff(c_3967,plain,
( c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(resolution,[status(thm)],[c_44,c_3923]) ).
tff(c_3984,plain,
c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(demodulation,[status(thm),theory(equality)],[c_3396,c_3967]) ).
tff(c_4086,plain,
! [V_b_431] :
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,V_b_431,t_a),t_a)
| ~ c_in(c_Pair(v_L,V_b_431,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c_3984,c_14]) ).
tff(c_4101,plain,
c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
inference(resolution,[status(thm)],[c_2715,c_4086]) ).
tff(c_4117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_4101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT274-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 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 : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 12:45:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 7.76/2.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.76/2.85
% 7.76/2.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.76/2.90
% 7.76/2.90 Inference rules
% 7.76/2.90 ----------------------
% 7.76/2.90 #Ref : 0
% 7.76/2.90 #Sup : 939
% 7.76/2.90 #Fact : 2
% 7.76/2.90 #Define : 0
% 7.76/2.90 #Split : 71
% 7.76/2.90 #Chain : 0
% 7.76/2.90 #Close : 0
% 7.76/2.90
% 7.76/2.90 Ordering : KBO
% 7.76/2.90
% 7.76/2.90 Simplification rules
% 7.76/2.90 ----------------------
% 7.76/2.90 #Subsume : 172
% 7.76/2.90 #Demod : 102
% 7.76/2.90 #Tautology : 37
% 7.76/2.90 #SimpNegUnit : 24
% 7.76/2.90 #BackRed : 0
% 7.76/2.90
% 7.76/2.90 #Partial instantiations: 0
% 7.76/2.90 #Strategies tried : 1
% 7.76/2.90
% 7.76/2.90 Timing (in seconds)
% 7.76/2.90 ----------------------
% 7.76/2.90 Preprocessing : 0.50
% 7.76/2.90 Parsing : 0.27
% 7.76/2.90 CNF conversion : 0.03
% 7.76/2.90 Main loop : 1.33
% 7.76/2.90 Inferencing : 0.56
% 7.76/2.90 Reduction : 0.36
% 7.76/2.90 Demodulation : 0.22
% 7.76/2.90 BG Simplification : 0.04
% 7.76/2.90 Subsumption : 0.28
% 7.76/2.90 Abstraction : 0.03
% 7.76/2.90 MUC search : 0.00
% 7.76/2.90 Cooper : 0.00
% 7.76/2.90 Total : 1.90
% 7.76/2.90 Index Insertion : 0.00
% 7.76/2.90 Index Deletion : 0.00
% 7.76/2.90 Index Matching : 0.00
% 7.76/2.90 BG Taut test : 0.00
%------------------------------------------------------------------------------