%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SET580+3 : TPTP v9.0.0. Released v2.2.0.
% 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 : n024.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 : Wed Apr 9 08:38:45 PM UTC 2025
% Result : Theorem 5.01s 2.33s
% Output : CNFRefutation 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 153 ( 88 unt; 0 typ; 0 def)
% Number of atoms : 255 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 192 ( 90 ~; 97 |; 1 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 97 ( 97 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ member > union > symmetric_difference > difference > #nlpp > #skF_7 > #skF_5 > #skF_6 > #skF_3 > #skF_8 > #skF_4 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(union,type,
union: ( $i * $i ) > $i ).
tff(symmetric_difference,type,
symmetric_difference: ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(difference,type,
difference: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_68,negated_conjecture,
~ ! [B,C,D] :
( member(B,symmetric_difference(C,D))
<=> ~ ( member(B,C)
<=> member(B,D) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th23) ).
tff(f_51,axiom,
! [B,C] : ( symmetric_difference(B,C) = symmetric_difference(C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_symmetric_difference) ).
tff(f_45,axiom,
! [B,C] : ( symmetric_difference(B,C) = union(difference(B,C),difference(C,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_difference_defn) ).
tff(f_34,axiom,
! [B,C,D] :
( member(D,union(B,C))
<=> ( member(D,B)
| member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
tff(f_42,axiom,
! [B,C,D] :
( member(D,difference(B,C))
<=> ( member(D,B)
& ~ member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
tff(c_42,plain,
( ~ member('#skF_3',symmetric_difference('#skF_4','#skF_5'))
| member('#skF_6','#skF_8')
| ~ member('#skF_6','#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_173,plain,
~ member('#skF_6','#skF_7'),
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_40,plain,
( member('#skF_3','#skF_4')
| member('#skF_3','#skF_5')
| member('#skF_6','#skF_7')
| ~ member('#skF_6','#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_226,plain,
( member('#skF_3','#skF_4')
| member('#skF_3','#skF_5')
| ~ member('#skF_6','#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_173,c_40]) ).
tff(c_227,plain,
~ member('#skF_6','#skF_8'),
inference(splitLeft,[status(thm)],[c_226]) ).
tff(c_18,plain,
! [C_12,B_11] : ( symmetric_difference(C_12,B_11) = symmetric_difference(B_11,C_12) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_60,plain,
( member('#skF_3','#skF_4')
| member('#skF_3','#skF_5')
| member('#skF_6',symmetric_difference('#skF_7','#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_63,plain,
( member('#skF_3','#skF_4')
| member('#skF_3','#skF_5')
| member('#skF_6',symmetric_difference('#skF_8','#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_60]) ).
tff(c_240,plain,
member('#skF_6',symmetric_difference('#skF_8','#skF_7')),
inference(splitLeft,[status(thm)],[c_63]) ).
tff(c_14,plain,
! [B_7,C_8] : ( union(difference(B_7,C_8),difference(C_8,B_7)) = symmetric_difference(B_7,C_8) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_242,plain,
! [D_44,C_45,B_46] :
( member(D_44,C_45)
| member(D_44,B_46)
| ~ member(D_44,union(B_46,C_45)) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_428,plain,
! [D_61,C_62,B_63] :
( member(D_61,difference(C_62,B_63))
| member(D_61,difference(B_63,C_62))
| ~ member(D_61,symmetric_difference(B_63,C_62)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_242]) ).
tff(c_459,plain,
( member('#skF_6',difference('#skF_7','#skF_8'))
| member('#skF_6',difference('#skF_8','#skF_7')) ),
inference(resolution,[status(thm)],[c_240,c_428]) ).
tff(c_520,plain,
member('#skF_6',difference('#skF_8','#skF_7')),
inference(splitLeft,[status(thm)],[c_459]) ).
tff(c_12,plain,
! [D_6,B_4,C_5] :
( member(D_6,B_4)
| ~ member(D_6,difference(B_4,C_5)) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_526,plain,
member('#skF_6','#skF_8'),
inference(resolution,[status(thm)],[c_520,c_12]) ).
tff(c_531,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_227,c_526]) ).
tff(c_532,plain,
member('#skF_6',difference('#skF_7','#skF_8')),
inference(splitRight,[status(thm)],[c_459]) ).
tff(c_544,plain,
member('#skF_6','#skF_7'),
inference(resolution,[status(thm)],[c_532,c_12]) ).
tff(c_549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173,c_544]) ).
tff(c_551,plain,
~ member('#skF_6',symmetric_difference('#skF_8','#skF_7')),
inference(splitRight,[status(thm)],[c_63]) ).
tff(c_550,plain,
( member('#skF_3','#skF_5')
| member('#skF_3','#skF_4') ),
inference(splitRight,[status(thm)],[c_63]) ).
tff(c_560,plain,
member('#skF_3','#skF_4'),
inference(splitLeft,[status(thm)],[c_550]) ).
tff(c_54,plain,
( ~ member('#skF_3','#skF_5')
| ~ member('#skF_3','#skF_4')
| member('#skF_6',symmetric_difference('#skF_7','#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_62,plain,
( ~ member('#skF_3','#skF_5')
| ~ member('#skF_3','#skF_4')
| member('#skF_6',symmetric_difference('#skF_8','#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_54]) ).
tff(c_583,plain,
( ~ member('#skF_3','#skF_5')
| member('#skF_6',symmetric_difference('#skF_8','#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_560,c_62]) ).
tff(c_584,plain,
~ member('#skF_3','#skF_5'),
inference(negUnitSimplification,[status(thm)],[c_551,c_583]) ).
tff(c_588,plain,
! [D_70,B_71,C_72] :
( member(D_70,difference(B_71,C_72))
| member(D_70,C_72)
| ~ member(D_70,B_71) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_146,plain,
! [B_34,C_35] : ( union(difference(B_34,C_35),difference(C_35,B_34)) = symmetric_difference(B_34,C_35) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_6,plain,
! [D_3,B_1,C_2] :
( ~ member(D_3,B_1)
| member(D_3,union(B_1,C_2)) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_229,plain,
! [D_41,B_42,C_43] :
( ~ member(D_41,difference(B_42,C_43))
| member(D_41,symmetric_difference(B_42,C_43)) ),
inference(superposition,[status(thm),theory(equality)],[c_146,c_6]) ).
tff(c_52,plain,
( ~ member('#skF_3',symmetric_difference('#skF_4','#skF_5'))
| member('#skF_6',symmetric_difference('#skF_7','#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_61,plain,
( ~ member('#skF_3',symmetric_difference('#skF_4','#skF_5'))
| member('#skF_6',symmetric_difference('#skF_8','#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_52]) ).
tff(c_174,plain,
~ member('#skF_3',symmetric_difference('#skF_4','#skF_5')),
inference(splitLeft,[status(thm)],[c_61]) ).
tff(c_239,plain,
~ member('#skF_3',difference('#skF_4','#skF_5')),
inference(resolution,[status(thm)],[c_229,c_174]) ).
tff(c_597,plain,
( member('#skF_3','#skF_5')
| ~ member('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_588,c_239]) ).
tff(c_613,plain,
member('#skF_3','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_560,c_597]) ).
tff(c_615,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_584,c_613]) ).
tff(c_617,plain,
~ member('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_550]) ).
tff(c_616,plain,
member('#skF_3','#skF_5'),
inference(splitRight,[status(thm)],[c_550]) ).
tff(c_642,plain,
! [D_76,B_77,C_78] :
( member(D_76,difference(B_77,C_78))
| member(D_76,C_78)
| ~ member(D_76,B_77) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_4,plain,
! [D_3,C_2,B_1] :
( ~ member(D_3,C_2)
| member(D_3,union(B_1,C_2)) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_175,plain,
! [D_36,C_37,B_38] :
( ~ member(D_36,difference(C_37,B_38))
| member(D_36,symmetric_difference(B_38,C_37)) ),
inference(superposition,[status(thm),theory(equality)],[c_146,c_4]) ).
tff(c_185,plain,
~ member('#skF_3',difference('#skF_5','#skF_4')),
inference(resolution,[status(thm)],[c_175,c_174]) ).
tff(c_654,plain,
( member('#skF_3','#skF_4')
| ~ member('#skF_3','#skF_5') ),
inference(resolution,[status(thm)],[c_642,c_185]) ).
tff(c_669,plain,
member('#skF_3','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_616,c_654]) ).
tff(c_671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_617,c_669]) ).
tff(c_673,plain,
member('#skF_6','#skF_8'),
inference(splitRight,[status(thm)],[c_226]) ).
tff(c_672,plain,
( member('#skF_3','#skF_5')
| member('#skF_3','#skF_4') ),
inference(splitRight,[status(thm)],[c_226]) ).
tff(c_675,plain,
member('#skF_3','#skF_4'),
inference(splitLeft,[status(thm)],[c_672]) ).
tff(c_688,plain,
! [D_82,B_83,C_84] :
( member(D_82,difference(B_83,C_84))
| member(D_82,C_84)
| ~ member(D_82,B_83) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_677,plain,
! [D_79,B_80,C_81] :
( ~ member(D_79,difference(B_80,C_81))
| member(D_79,symmetric_difference(B_80,C_81)) ),
inference(superposition,[status(thm),theory(equality)],[c_146,c_6]) ).
tff(c_687,plain,
~ member('#skF_3',difference('#skF_4','#skF_5')),
inference(resolution,[status(thm)],[c_677,c_174]) ).
tff(c_691,plain,
( member('#skF_3','#skF_5')
| ~ member('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_688,c_687]) ).
tff(c_703,plain,
member('#skF_3','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_675,c_691]) ).
tff(c_34,plain,
( ~ member('#skF_3','#skF_5')
| ~ member('#skF_3','#skF_4')
| member('#skF_6','#skF_7')
| ~ member('#skF_6','#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_709,plain,
member('#skF_6','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_673,c_675,c_703,c_34]) ).
tff(c_710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173,c_709]) ).
tff(c_712,plain,
~ member('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_672]) ).
tff(c_711,plain,
member('#skF_3','#skF_5'),
inference(splitRight,[status(thm)],[c_672]) ).
tff(c_725,plain,
! [D_88,B_89,C_90] :
( member(D_88,difference(B_89,C_90))
| member(D_88,C_90)
| ~ member(D_88,B_89) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_731,plain,
( member('#skF_3','#skF_4')
| ~ member('#skF_3','#skF_5') ),
inference(resolution,[status(thm)],[c_725,c_185]) ).
tff(c_742,plain,
member('#skF_3','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_711,c_731]) ).
tff(c_744,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_712,c_742]) ).
tff(c_746,plain,
member('#skF_3',symmetric_difference('#skF_4','#skF_5')),
inference(splitRight,[status(thm)],[c_61]) ).
tff(c_32,plain,
( ~ member('#skF_3',symmetric_difference('#skF_4','#skF_5'))
| member('#skF_6','#skF_7')
| ~ member('#skF_6','#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_755,plain,
( member('#skF_6','#skF_7')
| ~ member('#skF_6','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_746,c_32]) ).
tff(c_756,plain,
~ member('#skF_6','#skF_8'),
inference(negUnitSimplification,[status(thm)],[c_173,c_755]) ).
tff(c_745,plain,
member('#skF_6',symmetric_difference('#skF_8','#skF_7')),
inference(splitRight,[status(thm)],[c_61]) ).
tff(c_816,plain,
! [D_102,C_103,B_104] :
( member(D_102,C_103)
| member(D_102,B_104)
| ~ member(D_102,union(B_104,C_103)) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_983,plain,
! [D_116,C_117,B_118] :
( member(D_116,difference(C_117,B_118))
| member(D_116,difference(B_118,C_117))
| ~ member(D_116,symmetric_difference(B_118,C_117)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_816]) ).
tff(c_1020,plain,
( member('#skF_6',difference('#skF_7','#skF_8'))
| member('#skF_6',difference('#skF_8','#skF_7')) ),
inference(resolution,[status(thm)],[c_745,c_983]) ).
tff(c_1088,plain,
member('#skF_6',difference('#skF_8','#skF_7')),
inference(splitLeft,[status(thm)],[c_1020]) ).
tff(c_1094,plain,
member('#skF_6','#skF_8'),
inference(resolution,[status(thm)],[c_1088,c_12]) ).
tff(c_1099,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_756,c_1094]) ).
tff(c_1100,plain,
member('#skF_6',difference('#skF_7','#skF_8')),
inference(splitRight,[status(thm)],[c_1020]) ).
tff(c_1107,plain,
member('#skF_6','#skF_7'),
inference(resolution,[status(thm)],[c_1100,c_12]) ).
tff(c_1112,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173,c_1107]) ).
tff(c_1114,plain,
member('#skF_6','#skF_7'),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_44,plain,
( ~ member('#skF_3','#skF_5')
| ~ member('#skF_3','#skF_4')
| member('#skF_6','#skF_8')
| ~ member('#skF_6','#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_1202,plain,
( ~ member('#skF_3','#skF_5')
| ~ member('#skF_3','#skF_4')
| member('#skF_6','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_1114,c_44]) ).
tff(c_1203,plain,
~ member('#skF_3','#skF_4'),
inference(splitLeft,[status(thm)],[c_1202]) ).
tff(c_1205,plain,
! [D_133,B_134,C_135] :
( member(D_133,difference(B_134,C_135))
| member(D_133,C_135)
| ~ member(D_133,B_134) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_1134,plain,
! [D_125,C_126,B_127] :
( ~ member(D_125,difference(C_126,B_127))
| member(D_125,symmetric_difference(B_127,C_126)) ),
inference(superposition,[status(thm),theory(equality)],[c_146,c_4]) ).
tff(c_1113,plain,
( ~ member('#skF_3',symmetric_difference('#skF_4','#skF_5'))
| member('#skF_6','#skF_8') ),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_1115,plain,
~ member('#skF_3',symmetric_difference('#skF_4','#skF_5')),
inference(splitLeft,[status(thm)],[c_1113]) ).
tff(c_1144,plain,
~ member('#skF_3',difference('#skF_5','#skF_4')),
inference(resolution,[status(thm)],[c_1134,c_1115]) ).
tff(c_1211,plain,
( member('#skF_3','#skF_4')
| ~ member('#skF_3','#skF_5') ),
inference(resolution,[status(thm)],[c_1205,c_1144]) ).
tff(c_1221,plain,
~ member('#skF_3','#skF_5'),
inference(negUnitSimplification,[status(thm)],[c_1203,c_1211]) ).
tff(c_50,plain,
( member('#skF_3','#skF_4')
| member('#skF_3','#skF_5')
| member('#skF_6','#skF_8')
| ~ member('#skF_6','#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_1349,plain,
( member('#skF_3','#skF_4')
| member('#skF_3','#skF_5')
| member('#skF_6','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_1114,c_50]) ).
tff(c_1350,plain,
member('#skF_6','#skF_8'),
inference(negUnitSimplification,[status(thm)],[c_1221,c_1203,c_1349]) ).
tff(c_1200,plain,
member('#skF_6',symmetric_difference('#skF_8','#skF_7')),
inference(splitLeft,[status(thm)],[c_63]) ).
tff(c_1116,plain,
! [D_122,C_123,B_124] :
( member(D_122,C_123)
| member(D_122,B_124)
| ~ member(D_122,union(B_124,C_123)) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_1373,plain,
! [D_147,C_148,B_149] :
( member(D_147,difference(C_148,B_149))
| member(D_147,difference(B_149,C_148))
| ~ member(D_147,symmetric_difference(B_149,C_148)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_1116]) ).
tff(c_1404,plain,
( member('#skF_6',difference('#skF_7','#skF_8'))
| member('#skF_6',difference('#skF_8','#skF_7')) ),
inference(resolution,[status(thm)],[c_1200,c_1373]) ).
tff(c_1428,plain,
member('#skF_6',difference('#skF_8','#skF_7')),
inference(splitLeft,[status(thm)],[c_1404]) ).
tff(c_10,plain,
! [D_6,C_5,B_4] :
( ~ member(D_6,C_5)
| ~ member(D_6,difference(B_4,C_5)) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_1431,plain,
~ member('#skF_6','#skF_7'),
inference(resolution,[status(thm)],[c_1428,c_10]) ).
tff(c_1438,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1114,c_1431]) ).
tff(c_1439,plain,
member('#skF_6',difference('#skF_7','#skF_8')),
inference(splitRight,[status(thm)],[c_1404]) ).
tff(c_1449,plain,
~ member('#skF_6','#skF_8'),
inference(resolution,[status(thm)],[c_1439,c_10]) ).
tff(c_1456,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1350,c_1449]) ).
tff(c_1457,plain,
( ~ member('#skF_3','#skF_5')
| member('#skF_6','#skF_8') ),
inference(splitRight,[status(thm)],[c_1202]) ).
tff(c_1459,plain,
~ member('#skF_3','#skF_5'),
inference(splitLeft,[status(thm)],[c_1457]) ).
tff(c_1458,plain,
member('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_1202]) ).
tff(c_1462,plain,
! [D_153,B_154,C_155] :
( member(D_153,difference(B_154,C_155))
| member(D_153,C_155)
| ~ member(D_153,B_154) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_1186,plain,
! [D_130,B_131,C_132] :
( ~ member(D_130,difference(B_131,C_132))
| member(D_130,symmetric_difference(B_131,C_132)) ),
inference(superposition,[status(thm),theory(equality)],[c_146,c_6]) ).
tff(c_1196,plain,
~ member('#skF_3',difference('#skF_4','#skF_5')),
inference(resolution,[status(thm)],[c_1186,c_1115]) ).
tff(c_1465,plain,
( member('#skF_3','#skF_5')
| ~ member('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_1462,c_1196]) ).
tff(c_1477,plain,
member('#skF_3','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1458,c_1465]) ).
tff(c_1479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1459,c_1477]) ).
tff(c_1480,plain,
member('#skF_6','#skF_8'),
inference(splitRight,[status(thm)],[c_1457]) ).
tff(c_1654,plain,
! [D_170,C_171,B_172] :
( member(D_170,difference(C_171,B_172))
| member(D_170,difference(B_172,C_171))
| ~ member(D_170,symmetric_difference(B_172,C_171)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_1116]) ).
tff(c_1685,plain,
( member('#skF_6',difference('#skF_7','#skF_8'))
| member('#skF_6',difference('#skF_8','#skF_7')) ),
inference(resolution,[status(thm)],[c_1200,c_1654]) ).
tff(c_1688,plain,
member('#skF_6',difference('#skF_8','#skF_7')),
inference(splitLeft,[status(thm)],[c_1685]) ).
tff(c_1691,plain,
~ member('#skF_6','#skF_7'),
inference(resolution,[status(thm)],[c_1688,c_10]) ).
tff(c_1698,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1114,c_1691]) ).
tff(c_1699,plain,
member('#skF_6',difference('#skF_7','#skF_8')),
inference(splitRight,[status(thm)],[c_1685]) ).
tff(c_1709,plain,
~ member('#skF_6','#skF_8'),
inference(resolution,[status(thm)],[c_1699,c_10]) ).
tff(c_1716,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1480,c_1709]) ).
tff(c_1718,plain,
~ member('#skF_6',symmetric_difference('#skF_8','#skF_7')),
inference(splitRight,[status(thm)],[c_63]) ).
tff(c_1717,plain,
( member('#skF_3','#skF_5')
| member('#skF_3','#skF_4') ),
inference(splitRight,[status(thm)],[c_63]) ).
tff(c_1727,plain,
member('#skF_3','#skF_4'),
inference(splitLeft,[status(thm)],[c_1717]) ).
tff(c_1732,plain,
( ~ member('#skF_3','#skF_5')
| member('#skF_6',symmetric_difference('#skF_8','#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_1727,c_62]) ).
tff(c_1733,plain,
~ member('#skF_3','#skF_5'),
inference(negUnitSimplification,[status(thm)],[c_1718,c_1732]) ).
tff(c_1734,plain,
! [D_173,B_174,C_175] :
( member(D_173,difference(B_174,C_175))
| member(D_173,C_175)
| ~ member(D_173,B_174) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_1743,plain,
( member('#skF_3','#skF_5')
| ~ member('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_1734,c_1196]) ).
tff(c_1761,plain,
member('#skF_3','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1727,c_1743]) ).
tff(c_1763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1733,c_1761]) ).
tff(c_1765,plain,
~ member('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_1717]) ).
tff(c_1764,plain,
member('#skF_3','#skF_5'),
inference(splitRight,[status(thm)],[c_1717]) ).
tff(c_1772,plain,
! [D_176,B_177,C_178] :
( member(D_176,difference(B_177,C_178))
| member(D_176,C_178)
| ~ member(D_176,B_177) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_1784,plain,
( member('#skF_3','#skF_4')
| ~ member('#skF_3','#skF_5') ),
inference(resolution,[status(thm)],[c_1772,c_1144]) ).
tff(c_1800,plain,
member('#skF_3','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_1764,c_1784]) ).
tff(c_1802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1765,c_1800]) ).
tff(c_1803,plain,
member('#skF_6','#skF_8'),
inference(splitRight,[status(thm)],[c_1113]) ).
tff(c_1804,plain,
member('#skF_3',symmetric_difference('#skF_4','#skF_5')),
inference(splitRight,[status(thm)],[c_1113]) ).
tff(c_1806,plain,
member('#skF_6',symmetric_difference('#skF_8','#skF_7')),
inference(demodulation,[status(thm),theory(equality)],[c_1804,c_61]) ).
tff(c_1863,plain,
! [D_187,C_188,B_189] :
( member(D_187,C_188)
| member(D_187,B_189)
| ~ member(D_187,union(B_189,C_188)) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_2046,plain,
! [D_204,C_205,B_206] :
( member(D_204,difference(C_205,B_206))
| member(D_204,difference(B_206,C_205))
| ~ member(D_204,symmetric_difference(B_206,C_205)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_1863]) ).
tff(c_2082,plain,
( member('#skF_6',difference('#skF_7','#skF_8'))
| member('#skF_6',difference('#skF_8','#skF_7')) ),
inference(resolution,[status(thm)],[c_1806,c_2046]) ).
tff(c_2084,plain,
member('#skF_6',difference('#skF_8','#skF_7')),
inference(splitLeft,[status(thm)],[c_2082]) ).
tff(c_2087,plain,
~ member('#skF_6','#skF_7'),
inference(resolution,[status(thm)],[c_2084,c_10]) ).
tff(c_2094,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1114,c_2087]) ).
tff(c_2095,plain,
member('#skF_6',difference('#skF_7','#skF_8')),
inference(splitRight,[status(thm)],[c_2082]) ).
tff(c_2145,plain,
~ member('#skF_6','#skF_8'),
inference(resolution,[status(thm)],[c_2095,c_10]) ).
tff(c_2152,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1803,c_2145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET580+3 : TPTP v9.0.0. Released v2.2.0.
% 0.06/0.12 % 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
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 8 21:15:36 EDT 2025
% 0.11/0.33 % CPUTime :
% 5.01/2.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.21/2.35
% 5.21/2.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------