TSTP Solution File: SEU306+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU306+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 : 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 : Thu Aug 31 16:19:08 EDT 2023
% Result : Theorem 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU306+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 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 : Wed Aug 23 22:09:19 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % File :CSE---1.6
% 0.20/0.63 % Problem :theBenchmark
% 0.20/0.63 % Transform :cnf
% 0.20/0.63 % Format :tptp:raw
% 0.20/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.63
% 0.20/0.63 % Result :Theorem 0.000000s
% 0.20/0.63 % Output :CNFRefutation 0.000000s
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 % File : SEU306+1 : TPTP v8.1.2. Released v3.3.0.
% 0.20/0.63 % Domain : Set theory
% 0.20/0.63 % Problem : MPTP bushy problem t12_pre_topc
% 0.20/0.63 % Version : [Urb07] axioms : Especial.
% 0.20/0.63 % English :
% 0.20/0.63
% 0.20/0.63 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.20/0.63 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.20/0.63 % Source : [Urb07]
% 0.20/0.63 % Names : bushy-t12_pre_topc [Urb07]
% 0.20/0.63
% 0.20/0.63 % Status : Theorem
% 0.20/0.63 % Rating : 0.03 v8.1.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.04 v5.5.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.00 v4.0.0, 0.04 v3.7.0, 0.05 v3.3.0
% 0.20/0.63 % Syntax : Number of formulae : 40 ( 9 unt; 0 def)
% 0.20/0.63 % Number of atoms : 118 ( 4 equ)
% 0.20/0.63 % Maximal formula atoms : 7 ( 2 avg)
% 0.20/0.63 % Number of connectives : 87 ( 9 ~; 1 |; 42 &)
% 0.20/0.63 % ( 1 <=>; 34 =>; 0 <=; 0 <~>)
% 0.20/0.63 % Maximal formula depth : 9 ( 5 avg)
% 0.20/0.63 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.63 % Number of predicates : 17 ( 15 usr; 1 prp; 0-2 aty)
% 0.20/0.63 % Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% 0.20/0.63 % Number of variables : 58 ( 53 !; 5 ?)
% 0.20/0.63 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.63
% 0.20/0.63 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.20/0.63 % library, www.mizar.org
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 fof(antisymmetry_r2_hidden,axiom,
% 0.20/0.63 ! [A,B] :
% 0.20/0.63 ( in(A,B)
% 0.20/0.63 => ~ in(B,A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(dt_k1_xboole_0,axiom,
% 0.20/0.63 $true ).
% 0.20/0.63
% 0.20/0.63 fof(cc1_membered,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( v5_membered(A)
% 0.20/0.63 => v4_membered(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc2_membered,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( v4_membered(A)
% 0.20/0.63 => v3_membered(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc3_membered,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( v3_membered(A)
% 0.20/0.63 => v2_membered(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc4_membered,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( v2_membered(A)
% 0.20/0.63 => v1_membered(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc1_membered,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.63 ( ~ empty(A)
% 0.20/0.63 & v1_membered(A)
% 0.20/0.63 & v2_membered(A)
% 0.20/0.63 & v3_membered(A)
% 0.20/0.63 & v4_membered(A)
% 0.20/0.63 & v5_membered(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc10_membered,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( v1_membered(A)
% 0.20/0.63 => ! [B] :
% 0.20/0.63 ( element(B,A)
% 0.20/0.63 => v1_xcmplx_0(B) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc11_membered,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( v2_membered(A)
% 0.20/0.63 => ! [B] :
% 0.20/0.63 ( element(B,A)
% 0.20/0.63 => ( v1_xcmplx_0(B)
% 0.20/0.63 & v1_xreal_0(B) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc12_membered,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( v3_membered(A)
% 0.20/0.63 => ! [B] :
% 0.20/0.63 ( element(B,A)
% 0.20/0.63 => ( v1_xcmplx_0(B)
% 0.20/0.63 & v1_xreal_0(B)
% 0.20/0.63 & v1_rat_1(B) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc13_membered,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( v4_membered(A)
% 0.20/0.63 => ! [B] :
% 0.20/0.63 ( element(B,A)
% 0.20/0.63 => ( v1_xcmplx_0(B)
% 0.20/0.63 & v1_xreal_0(B)
% 0.20/0.63 & v1_int_1(B)
% 0.20/0.63 & v1_rat_1(B) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc14_membered,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( v5_membered(A)
% 0.20/0.63 => ! [B] :
% 0.20/0.63 ( element(B,A)
% 0.20/0.63 => ( v1_xcmplx_0(B)
% 0.20/0.63 & natural(B)
% 0.20/0.63 & v1_xreal_0(B)
% 0.20/0.63 & v1_int_1(B)
% 0.20/0.63 & v1_rat_1(B) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(fc6_membered,axiom,
% 0.20/0.63 ( empty(empty_set)
% 0.20/0.63 & v1_membered(empty_set)
% 0.20/0.63 & v2_membered(empty_set)
% 0.20/0.63 & v3_membered(empty_set)
% 0.20/0.63 & v4_membered(empty_set)
% 0.20/0.63 & v5_membered(empty_set) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc16_membered,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( v1_membered(A)
% 0.20/0.63 => ! [B] :
% 0.20/0.63 ( element(B,powerset(A))
% 0.20/0.63 => v1_membered(B) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc17_membered,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( v2_membered(A)
% 0.20/0.63 => ! [B] :
% 0.20/0.63 ( element(B,powerset(A))
% 0.20/0.63 => ( v1_membered(B)
% 0.20/0.63 & v2_membered(B) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc18_membered,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( v3_membered(A)
% 0.20/0.64 => ! [B] :
% 0.20/0.64 ( element(B,powerset(A))
% 0.20/0.64 => ( v1_membered(B)
% 0.20/0.64 & v2_membered(B)
% 0.20/0.64 & v3_membered(B) ) ) ) ).
% 0.20/0.64
% 0.20/0.64 fof(cc19_membered,axiom,
% 0.20/0.64 ! [A] :
% 0.20/0.64 ( v4_membered(A)
% 0.20/0.64 => ! [B] :
% 0.20/0.64 ( element(B,powerset(A))
% 0.20/0.64 => ( v1_membered(B)
% 0.20/0.64 & v2_membered(B)
% 0.20/0.64 & v3_membered(B)
% 0.20/0.64 & v4_membered(B) ) ) ) ).
% 0.20/0.64
% 0.20/0.64 fof(cc20_membered,axiom,
% 0.20/0.64 ! [A] :
% 0.20/0.64 ( v5_membered(A)
% 0.20/0.64 => ! [B] :
% 0.20/0.64 ( element(B,powerset(A))
% 0.20/0.64 => ( v1_membered(B)
% 0.20/0.64 & v2_membered(B)
% 0.20/0.64 & v3_membered(B)
% 0.20/0.64 & v4_membered(B)
% 0.20/0.64 & v5_membered(B) ) ) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t1_subset,axiom,
% 0.20/0.64 ! [A,B] :
% 0.20/0.64 ( in(A,B)
% 0.20/0.64 => element(A,B) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t4_subset,axiom,
% 0.20/0.64 ! [A,B,C] :
% 0.20/0.64 ( ( in(A,B)
% 0.20/0.64 & element(B,powerset(C)) )
% 0.20/0.64 => element(A,C) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t5_subset,axiom,
% 0.20/0.64 ! [A,B,C] :
% 0.20/0.64 ~ ( in(A,B)
% 0.20/0.64 & element(B,powerset(C))
% 0.20/0.64 & empty(C) ) ).
% 0.20/0.64
% 0.20/0.64 fof(reflexivity_r1_tarski,axiom,
% 0.20/0.64 ! [A,B] : subset(A,A) ).
% 0.20/0.64
% 0.20/0.64 fof(rc1_subset_1,axiom,
% 0.20/0.64 ! [A] :
% 0.20/0.64 ( ~ empty(A)
% 0.20/0.64 => ? [B] :
% 0.20/0.64 ( element(B,powerset(A))
% 0.20/0.64 & ~ empty(B) ) ) ).
% 0.20/0.64
% 0.20/0.64 fof(rc2_subset_1,axiom,
% 0.20/0.64 ! [A] :
% 0.20/0.64 ? [B] :
% 0.20/0.64 ( element(B,powerset(A))
% 0.20/0.64 & empty(B) ) ).
% 0.20/0.64
% 0.20/0.64 fof(cc15_membered,axiom,
% 0.20/0.64 ! [A] :
% 0.20/0.64 ( empty(A)
% 0.20/0.64 => ( v1_membered(A)
% 0.20/0.64 & v2_membered(A)
% 0.20/0.64 & v3_membered(A)
% 0.20/0.64 & v4_membered(A)
% 0.20/0.64 & v5_membered(A) ) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t2_subset,axiom,
% 0.20/0.64 ! [A,B] :
% 0.20/0.64 ( element(A,B)
% 0.20/0.64 => ( empty(B)
% 0.20/0.64 | in(A,B) ) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t6_boole,axiom,
% 0.20/0.64 ! [A] :
% 0.20/0.64 ( empty(A)
% 0.20/0.64 => A = empty_set ) ).
% 0.20/0.64
% 0.20/0.64 fof(t7_boole,axiom,
% 0.20/0.64 ! [A,B] :
% 0.20/0.64 ~ ( in(A,B)
% 0.20/0.64 & empty(B) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t8_boole,axiom,
% 0.20/0.64 ! [A,B] :
% 0.20/0.64 ~ ( empty(A)
% 0.20/0.64 & A != B
% 0.20/0.64 & empty(B) ) ).
% 0.20/0.64
% 0.20/0.64 fof(existence_m1_subset_1,axiom,
% 0.20/0.64 ! [A] :
% 0.20/0.64 ? [B] : element(B,A) ).
% 0.20/0.64
% 0.20/0.64 fof(dt_k1_zfmisc_1,axiom,
% 0.20/0.64 $true ).
% 0.20/0.64
% 0.20/0.64 fof(dt_m1_subset_1,axiom,
% 0.20/0.64 $true ).
% 0.20/0.64
% 0.20/0.64 fof(fc1_subset_1,axiom,
% 0.20/0.64 ! [A] : ~ empty(powerset(A)) ).
% 0.20/0.64
% 0.20/0.64 fof(t3_subset,axiom,
% 0.20/0.64 ! [A,B] :
% 0.20/0.64 ( element(A,powerset(B))
% 0.20/0.64 <=> subset(A,B) ) ).
% 0.20/0.64
% 0.20/0.64 fof(existence_l1_struct_0,axiom,
% 0.20/0.64 ? [A] : one_sorted_str(A) ).
% 0.20/0.64
% 0.20/0.64 fof(dt_k2_pre_topc,axiom,
% 0.20/0.64 ! [A] :
% 0.20/0.64 ( one_sorted_str(A)
% 0.20/0.64 => element(cast_as_carrier_subset(A),powerset(the_carrier(A))) ) ).
% 0.20/0.64
% 0.20/0.64 fof(dt_l1_struct_0,axiom,
% 0.20/0.64 $true ).
% 0.20/0.64
% 0.20/0.64 fof(dt_u1_struct_0,axiom,
% 0.20/0.64 $true ).
% 0.20/0.64
% 0.20/0.64 fof(d3_pre_topc,axiom,
% 0.20/0.64 ! [A] :
% 0.20/0.64 ( one_sorted_str(A)
% 0.20/0.64 => cast_as_carrier_subset(A) = the_carrier(A) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t12_pre_topc,conjecture,
% 0.20/0.64 ! [A] :
% 0.20/0.64 ( one_sorted_str(A)
% 0.20/0.64 => cast_as_carrier_subset(A) = the_carrier(A) ) ).
% 0.20/0.64
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark
% 0.20/0.64 % SZS output start Proof
% 0.20/0.64 %ClaNum:100(EqnAxiom:27)
% 0.20/0.64 %VarNum:198(SingletonVarNum:99)
% 0.20/0.64 %MaxLitNum:3
% 0.20/0.64 %MaxfuncDepth:2
% 0.20/0.64 %SharedTerms:21
% 0.20/0.64 %goalClause: 40 46
% 0.20/0.64 %singleGoalClaCount:2
% 0.20/0.64 [28]P1(a1)
% 0.20/0.64 [29]P1(a3)
% 0.20/0.64 [30]P2(a1)
% 0.20/0.64 [31]P2(a3)
% 0.20/0.64 [32]P3(a1)
% 0.20/0.64 [33]P3(a3)
% 0.20/0.64 [34]P4(a1)
% 0.20/0.64 [35]P4(a3)
% 0.20/0.64 [36]P5(a1)
% 0.20/0.64 [37]P5(a3)
% 0.20/0.64 [38]P6(a1)
% 0.20/0.64 [39]P8(a4)
% 0.20/0.64 [40]P8(a8)
% 0.20/0.64 [45]~P6(a3)
% 0.20/0.64 [46]~E(f2(a8),f10(a8))
% 0.20/0.64 [42]P11(x421,x421)
% 0.20/0.64 [41]P6(f5(x411))
% 0.20/0.64 [43]P7(f7(x431),x431)
% 0.20/0.64 [44]P7(f5(x441),f9(x441))
% 0.20/0.64 [47]~P6(f9(x471))
% 0.20/0.64 [48]~P6(x481)+E(x481,a1)
% 0.20/0.64 [49]~P6(x491)+P1(x491)
% 0.20/0.64 [50]~P1(x501)+P2(x501)
% 0.20/0.64 [51]~P6(x511)+P2(x511)
% 0.20/0.64 [52]~P2(x521)+P3(x521)
% 0.20/0.64 [53]~P6(x531)+P3(x531)
% 0.20/0.64 [54]~P3(x541)+P4(x541)
% 0.20/0.64 [55]~P6(x551)+P4(x551)
% 0.20/0.64 [56]~P4(x561)+P5(x561)
% 0.20/0.64 [57]~P6(x571)+P5(x571)
% 0.20/0.64 [58]~P8(x581)+E(f2(x581),f10(x581))
% 0.20/0.64 [60]P6(x601)+~P6(f6(x601))
% 0.20/0.64 [62]P6(x621)+P7(f6(x621),f9(x621))
% 0.20/0.64 [97]~P8(x971)+P7(f2(x971),f9(f10(x971)))
% 0.20/0.64 [61]~P6(x611)+~P9(x612,x611)
% 0.20/0.64 [78]~P9(x781,x782)+P7(x781,x782)
% 0.20/0.64 [96]~P9(x962,x961)+~P9(x961,x962)
% 0.20/0.64 [80]~P11(x801,x802)+P7(x801,f9(x802))
% 0.20/0.64 [98]P11(x981,x982)+~P7(x981,f9(x982))
% 0.20/0.64 [59]~P6(x592)+~P6(x591)+E(x591,x592)
% 0.20/0.64 [63]~P7(x631,x632)+P13(x631)+~P5(x632)
% 0.20/0.64 [64]~P7(x641,x642)+P13(x641)+~P1(x642)
% 0.20/0.64 [65]~P7(x651,x652)+P13(x651)+~P2(x652)
% 0.20/0.64 [66]~P7(x661,x662)+P13(x661)+~P3(x662)
% 0.20/0.64 [67]~P7(x671,x672)+P13(x671)+~P4(x672)
% 0.20/0.64 [68]~P7(x681,x682)+P15(x681)+~P1(x682)
% 0.20/0.64 [69]~P7(x691,x692)+P15(x691)+~P2(x692)
% 0.20/0.64 [70]~P7(x701,x702)+P15(x701)+~P3(x702)
% 0.20/0.64 [71]~P7(x711,x712)+P15(x711)+~P4(x712)
% 0.20/0.64 [72]~P7(x721,x722)+P14(x721)+~P1(x722)
% 0.20/0.64 [73]~P7(x731,x732)+P14(x731)+~P2(x732)
% 0.20/0.64 [74]~P7(x741,x742)+P14(x741)+~P3(x742)
% 0.20/0.64 [75]~P7(x751,x752)+P12(x751)+~P1(x752)
% 0.20/0.64 [76]~P7(x761,x762)+P12(x761)+~P2(x762)
% 0.20/0.64 [77]~P7(x771,x772)+P10(x771)+~P1(x772)
% 0.20/0.64 [79]~P7(x792,x791)+P6(x791)+P9(x792,x791)
% 0.20/0.64 [81]P1(x811)+~P1(x812)+~P7(x811,f9(x812))
% 0.20/0.64 [82]P2(x821)+~P1(x822)+~P7(x821,f9(x822))
% 0.20/0.64 [83]P2(x831)+~P2(x832)+~P7(x831,f9(x832))
% 0.20/0.64 [84]P3(x841)+~P1(x842)+~P7(x841,f9(x842))
% 0.20/0.64 [85]P3(x851)+~P2(x852)+~P7(x851,f9(x852))
% 0.20/0.64 [86]P3(x861)+~P3(x862)+~P7(x861,f9(x862))
% 0.20/0.64 [87]P4(x871)+~P1(x872)+~P7(x871,f9(x872))
% 0.20/0.64 [88]P4(x881)+~P2(x882)+~P7(x881,f9(x882))
% 0.20/0.64 [89]P4(x891)+~P3(x892)+~P7(x891,f9(x892))
% 0.20/0.64 [90]P4(x901)+~P4(x902)+~P7(x901,f9(x902))
% 0.20/0.64 [91]P5(x911)+~P5(x912)+~P7(x911,f9(x912))
% 0.20/0.64 [92]P5(x921)+~P1(x922)+~P7(x921,f9(x922))
% 0.20/0.64 [93]P5(x931)+~P2(x932)+~P7(x931,f9(x932))
% 0.20/0.64 [94]P5(x941)+~P3(x942)+~P7(x941,f9(x942))
% 0.20/0.64 [95]P5(x951)+~P4(x952)+~P7(x951,f9(x952))
% 0.20/0.64 [99]~P6(x991)+~P9(x992,x993)+~P7(x993,f9(x991))
% 0.20/0.64 [100]P7(x1001,x1002)+~P9(x1001,x1003)+~P7(x1003,f9(x1002))
% 0.20/0.64 %EqnAxiom
% 0.20/0.64 [1]E(x11,x11)
% 0.20/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.64 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.20/0.64 [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 0.20/0.64 [6]~E(x61,x62)+E(f9(x61),f9(x62))
% 0.20/0.64 [7]~E(x71,x72)+E(f10(x71),f10(x72))
% 0.20/0.64 [8]~E(x81,x82)+E(f2(x81),f2(x82))
% 0.20/0.64 [9]~E(x91,x92)+E(f6(x91),f6(x92))
% 0.20/0.64 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.20/0.64 [11]P7(x112,x113)+~E(x111,x112)+~P7(x111,x113)
% 0.20/0.64 [12]P7(x123,x122)+~E(x121,x122)+~P7(x123,x121)
% 0.20/0.64 [13]~P2(x131)+P2(x132)+~E(x131,x132)
% 0.20/0.64 [14]P9(x142,x143)+~E(x141,x142)+~P9(x141,x143)
% 0.20/0.64 [15]P9(x153,x152)+~E(x151,x152)+~P9(x153,x151)
% 0.20/0.64 [16]~P3(x161)+P3(x162)+~E(x161,x162)
% 0.20/0.64 [17]~P14(x171)+P14(x172)+~E(x171,x172)
% 0.20/0.64 [18]~P4(x181)+P4(x182)+~E(x181,x182)
% 0.20/0.64 [19]~P15(x191)+P15(x192)+~E(x191,x192)
% 0.20/0.64 [20]~P5(x201)+P5(x202)+~E(x201,x202)
% 0.20/0.64 [21]~P13(x211)+P13(x212)+~E(x211,x212)
% 0.20/0.64 [22]~P6(x221)+P6(x222)+~E(x221,x222)
% 0.20/0.64 [23]~P8(x231)+P8(x232)+~E(x231,x232)
% 0.20/0.64 [24]P11(x242,x243)+~E(x241,x242)+~P11(x241,x243)
% 0.20/0.64 [25]P11(x253,x252)+~E(x251,x252)+~P11(x253,x251)
% 0.20/0.64 [26]~P10(x261)+P10(x262)+~E(x261,x262)
% 0.20/0.64 [27]~P12(x271)+P12(x272)+~E(x271,x272)
% 0.20/0.64
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 cnf(101,plain,
% 0.20/0.64 ($false),
% 0.20/0.64 inference(scs_inference,[],[40,46,58]),
% 0.20/0.64 ['proof']).
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------