TSTP Solution File: SEU355+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU355+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n008.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 : Thu Aug 31 16:19:25 EDT 2023
% Result : Theorem 0.19s 0.66s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU355+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n008.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 : Wed Aug 23 16:04:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 % File :CSE---1.6
% 0.19/0.65 % Problem :theBenchmark
% 0.19/0.65 % Transform :cnf
% 0.19/0.65 % Format :tptp:raw
% 0.19/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.65
% 0.19/0.65 % Result :Theorem 0.020000s
% 0.19/0.65 % Output :CNFRefutation 0.020000s
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 %------------------------------------------------------------------------------
% 0.19/0.65 % File : SEU355+1 : TPTP v8.1.2. Released v3.3.0.
% 0.19/0.65 % Domain : Set theory
% 0.19/0.65 % Problem : MPTP bushy problem t6_yellow_0
% 0.19/0.65 % Version : [Urb07] axioms : Especial.
% 0.19/0.65 % English :
% 0.19/0.65
% 0.19/0.65 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.19/0.65 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.19/0.65 % Source : [Urb07]
% 0.19/0.65 % Names : bushy-t6_yellow_0 [Urb07]
% 0.19/0.65
% 0.19/0.65 % Status : Theorem
% 0.19/0.65 % Rating : 0.03 v7.2.0, 0.00 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.04 v5.4.0, 0.07 v5.3.0, 0.04 v5.2.0, 0.00 v5.0.0, 0.04 v4.0.0, 0.08 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0
% 0.19/0.65 % Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% 0.19/0.65 % Number of atoms : 46 ( 2 equ)
% 0.19/0.65 % Maximal formula atoms : 6 ( 2 avg)
% 0.19/0.65 % Number of connectives : 30 ( 6 ~; 1 |; 5 &)
% 0.19/0.65 % ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% 0.19/0.65 % Maximal formula depth : 10 ( 4 avg)
% 0.19/0.65 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.65 % Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% 0.19/0.65 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% 0.19/0.65 % Number of variables : 30 ( 24 !; 6 ?)
% 0.19/0.65 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.65
% 0.19/0.65 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.65 % library, www.mizar.org
% 0.19/0.65 %------------------------------------------------------------------------------
% 0.19/0.65 fof(antisymmetry_r2_hidden,axiom,
% 0.19/0.65 ! [A,B] :
% 0.19/0.65 ( in(A,B)
% 0.19/0.65 => ~ in(B,A) ) ).
% 0.19/0.65
% 0.19/0.65 fof(cc1_finset_1,axiom,
% 0.19/0.65 ! [A] :
% 0.19/0.65 ( empty(A)
% 0.19/0.65 => finite(A) ) ).
% 0.19/0.65
% 0.19/0.65 fof(d8_lattice3,axiom,
% 0.19/0.65 ! [A] :
% 0.19/0.65 ( rel_str(A)
% 0.19/0.65 => ! [B,C] :
% 0.19/0.65 ( element(C,the_carrier(A))
% 0.19/0.65 => ( relstr_element_smaller(A,B,C)
% 0.19/0.65 <=> ! [D] :
% 0.19/0.65 ( element(D,the_carrier(A))
% 0.19/0.65 => ( in(D,B)
% 0.19/0.65 => related(A,C,D) ) ) ) ) ) ).
% 0.19/0.65
% 0.19/0.65 fof(d9_lattice3,axiom,
% 0.19/0.65 ! [A] :
% 0.19/0.65 ( rel_str(A)
% 0.19/0.65 => ! [B,C] :
% 0.19/0.66 ( element(C,the_carrier(A))
% 0.19/0.66 => ( relstr_set_smaller(A,B,C)
% 0.19/0.66 <=> ! [D] :
% 0.19/0.66 ( element(D,the_carrier(A))
% 0.19/0.66 => ( in(D,B)
% 0.19/0.66 => related(A,D,C) ) ) ) ) ) ).
% 0.19/0.66
% 0.19/0.66 fof(dt_k1_xboole_0,axiom,
% 0.19/0.66 $true ).
% 0.19/0.66
% 0.19/0.66 fof(dt_l1_orders_2,axiom,
% 0.19/0.66 ! [A] :
% 0.19/0.66 ( rel_str(A)
% 0.19/0.66 => one_sorted_str(A) ) ).
% 0.19/0.66
% 0.19/0.66 fof(dt_l1_struct_0,axiom,
% 0.19/0.66 $true ).
% 0.19/0.66
% 0.19/0.66 fof(dt_m1_subset_1,axiom,
% 0.19/0.66 $true ).
% 0.19/0.66
% 0.19/0.66 fof(dt_u1_struct_0,axiom,
% 0.19/0.66 $true ).
% 0.19/0.66
% 0.19/0.66 fof(existence_l1_orders_2,axiom,
% 0.19/0.66 ? [A] : rel_str(A) ).
% 0.19/0.66
% 0.19/0.66 fof(existence_l1_struct_0,axiom,
% 0.19/0.66 ? [A] : one_sorted_str(A) ).
% 0.19/0.66
% 0.19/0.66 fof(existence_m1_subset_1,axiom,
% 0.19/0.66 ! [A] :
% 0.19/0.66 ? [B] : element(B,A) ).
% 0.19/0.66
% 0.19/0.66 fof(fc1_xboole_0,axiom,
% 0.19/0.66 empty(empty_set) ).
% 0.19/0.66
% 0.19/0.66 fof(rc1_finset_1,axiom,
% 0.19/0.66 ? [A] :
% 0.19/0.66 ( ~ empty(A)
% 0.19/0.66 & finite(A) ) ).
% 0.19/0.66
% 0.19/0.66 fof(rc1_xboole_0,axiom,
% 0.19/0.66 ? [A] : empty(A) ).
% 0.19/0.66
% 0.19/0.66 fof(rc2_xboole_0,axiom,
% 0.19/0.66 ? [A] : ~ empty(A) ).
% 0.19/0.66
% 0.19/0.66 fof(t1_subset,axiom,
% 0.19/0.66 ! [A,B] :
% 0.19/0.66 ( in(A,B)
% 0.19/0.66 => element(A,B) ) ).
% 0.19/0.66
% 0.19/0.66 fof(t2_subset,axiom,
% 0.19/0.66 ! [A,B] :
% 0.19/0.66 ( element(A,B)
% 0.19/0.66 => ( empty(B)
% 0.19/0.66 | in(A,B) ) ) ).
% 0.19/0.66
% 0.19/0.66 fof(t6_boole,axiom,
% 0.19/0.66 ! [A] :
% 0.19/0.66 ( empty(A)
% 0.19/0.66 => A = empty_set ) ).
% 0.19/0.66
% 0.19/0.66 fof(t6_yellow_0,conjecture,
% 0.19/0.66 ! [A] :
% 0.19/0.66 ( rel_str(A)
% 0.19/0.66 => ! [B] :
% 0.19/0.66 ( element(B,the_carrier(A))
% 0.19/0.66 => ( relstr_set_smaller(A,empty_set,B)
% 0.19/0.66 & relstr_element_smaller(A,empty_set,B) ) ) ) ).
% 0.19/0.66
% 0.19/0.66 fof(t7_boole,axiom,
% 0.19/0.66 ! [A,B] :
% 0.19/0.66 ~ ( in(A,B)
% 0.19/0.66 & empty(B) ) ).
% 0.19/0.66
% 0.19/0.66 fof(t8_boole,axiom,
% 0.19/0.66 ! [A,B] :
% 0.19/0.66 ~ ( empty(A)
% 0.19/0.66 & A != B
% 0.19/0.66 & empty(B) ) ).
% 0.19/0.66
% 0.19/0.66 %------------------------------------------------------------------------------
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 % Proof found
% 0.19/0.66 % SZS status Theorem for theBenchmark
% 0.19/0.66 % SZS output start Proof
% 0.19/0.66 %ClaNum:55(EqnAxiom:28)
% 0.19/0.66 %VarNum:116(SingletonVarNum:40)
% 0.19/0.66 %MaxLitNum:6
% 0.19/0.66 %MaxfuncDepth:1
% 0.19/0.66 %SharedTerms:20
% 0.19/0.66 %goalClause: 33 35 47
% 0.19/0.66 %singleGoalClaCount:2
% 0.19/0.66 [29]P1(a1)
% 0.19/0.66 [30]P1(a2)
% 0.19/0.66 [31]P3(a3)
% 0.19/0.66 [32]P4(a4)
% 0.19/0.66 [33]P4(a10)
% 0.19/0.66 [34]P5(a8)
% 0.19/0.66 [37]~P1(a3)
% 0.19/0.66 [38]~P1(a11)
% 0.19/0.66 [35]P2(a5,f12(a10))
% 0.19/0.66 [36]P2(f9(x361),x361)
% 0.19/0.66 [47]~P7(a10,a1,a5)+~P9(a10,a1,a5)
% 0.19/0.66 [39]~P1(x391)+E(x391,a1)
% 0.19/0.66 [40]~P1(x401)+P3(x401)
% 0.19/0.66 [41]~P4(x411)+P5(x411)
% 0.19/0.66 [43]~P1(x431)+~P6(x432,x431)
% 0.19/0.66 [44]~P6(x441,x442)+P2(x441,x442)
% 0.19/0.66 [46]~P6(x462,x461)+~P6(x461,x462)
% 0.19/0.66 [42]~P1(x422)+~P1(x421)+E(x421,x422)
% 0.19/0.66 [45]~P2(x452,x451)+P1(x451)+P6(x452,x451)
% 0.19/0.66 [48]~P4(x481)+P7(x481,x482,x483)+P6(f6(x481,x482,x483),x482)+~P2(x483,f12(x481))
% 0.19/0.66 [49]~P4(x491)+P9(x491,x492,x493)+P6(f7(x491,x492,x493),x492)+~P2(x493,f12(x491))
% 0.19/0.66 [50]~P4(x501)+P7(x501,x502,x503)+P2(f6(x501,x502,x503),f12(x501))+~P2(x503,f12(x501))
% 0.19/0.66 [51]~P4(x511)+P9(x511,x512,x513)+P2(f7(x511,x512,x513),f12(x511))+~P2(x513,f12(x511))
% 0.19/0.66 [54]~P4(x541)+P7(x541,x542,x543)+~P8(x541,x543,f6(x541,x542,x543))+~P2(x543,f12(x541))
% 0.19/0.66 [55]~P4(x551)+P9(x551,x552,x553)+~P8(x551,f7(x551,x552,x553),x553)+~P2(x553,f12(x551))
% 0.19/0.66 [52]~P4(x521)+~P9(x521,x524,x523)+P8(x521,x522,x523)+~P6(x522,x524)+~P2(x522,f12(x521))+~P2(x523,f12(x521))
% 0.19/0.66 [53]~P4(x531)+~P7(x531,x534,x532)+P8(x531,x532,x533)+~P6(x533,x534)+~P2(x533,f12(x531))+~P2(x532,f12(x531))
% 0.19/0.66 %EqnAxiom
% 0.19/0.66 [1]E(x11,x11)
% 0.19/0.66 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.66 [4]~E(x41,x42)+E(f12(x41),f12(x42))
% 0.19/0.66 [5]~E(x51,x52)+E(f9(x51),f9(x52))
% 0.19/0.66 [6]~E(x61,x62)+E(f6(x61,x63,x64),f6(x62,x63,x64))
% 0.19/0.66 [7]~E(x71,x72)+E(f6(x73,x71,x74),f6(x73,x72,x74))
% 0.19/0.66 [8]~E(x81,x82)+E(f6(x83,x84,x81),f6(x83,x84,x82))
% 0.19/0.66 [9]~E(x91,x92)+E(f7(x91,x93,x94),f7(x92,x93,x94))
% 0.19/0.66 [10]~E(x101,x102)+E(f7(x103,x101,x104),f7(x103,x102,x104))
% 0.19/0.66 [11]~E(x111,x112)+E(f7(x113,x114,x111),f7(x113,x114,x112))
% 0.19/0.66 [12]~P1(x121)+P1(x122)+~E(x121,x122)
% 0.19/0.66 [13]P8(x132,x133,x134)+~E(x131,x132)+~P8(x131,x133,x134)
% 0.19/0.66 [14]P8(x143,x142,x144)+~E(x141,x142)+~P8(x143,x141,x144)
% 0.19/0.66 [15]P8(x153,x154,x152)+~E(x151,x152)+~P8(x153,x154,x151)
% 0.19/0.66 [16]~P3(x161)+P3(x162)+~E(x161,x162)
% 0.19/0.66 [17]~P4(x171)+P4(x172)+~E(x171,x172)
% 0.19/0.66 [18]P6(x182,x183)+~E(x181,x182)+~P6(x181,x183)
% 0.19/0.66 [19]P6(x193,x192)+~E(x191,x192)+~P6(x193,x191)
% 0.19/0.66 [20]~P5(x201)+P5(x202)+~E(x201,x202)
% 0.19/0.66 [21]P2(x212,x213)+~E(x211,x212)+~P2(x211,x213)
% 0.19/0.66 [22]P2(x223,x222)+~E(x221,x222)+~P2(x223,x221)
% 0.19/0.66 [23]P7(x232,x233,x234)+~E(x231,x232)+~P7(x231,x233,x234)
% 0.19/0.66 [24]P7(x243,x242,x244)+~E(x241,x242)+~P7(x243,x241,x244)
% 0.19/0.66 [25]P7(x253,x254,x252)+~E(x251,x252)+~P7(x253,x254,x251)
% 0.19/0.66 [26]P9(x262,x263,x264)+~E(x261,x262)+~P9(x261,x263,x264)
% 0.19/0.66 [27]P9(x273,x272,x274)+~E(x271,x272)+~P9(x273,x271,x274)
% 0.19/0.66 [28]P9(x283,x284,x282)+~E(x281,x282)+~P9(x283,x284,x281)
% 0.19/0.66
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 cnf(56,plain,
% 0.19/0.66 (~P6(x561,a1)),
% 0.19/0.66 inference(scs_inference,[],[29,43])).
% 0.19/0.66 cnf(84,plain,
% 0.19/0.66 (P6(f6(a10,a1,a5),a1)),
% 0.19/0.66 inference(scs_inference,[],[33,29,30,37,35,36,43,45,49,47,46,41,40,39,11,10,9,8,7,6,5,4,25,24,19,18,12,48])).
% 0.19/0.66 cnf(111,plain,
% 0.19/0.66 ($false),
% 0.19/0.66 inference(scs_inference,[],[56,84]),
% 0.19/0.66 ['proof']).
% 0.19/0.66 % SZS output end Proof
% 0.19/0.66 % Total time :0.020000s
%------------------------------------------------------------------------------