TSTP Solution File: SEU435+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU435+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 16:20:05 EDT 2023
% Result : Theorem 0.19s 0.69s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU435+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/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 18:56:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.60 start to proof:theBenchmark
% 0.19/0.67 %-------------------------------------------
% 0.19/0.67 % File :CSE---1.6
% 0.19/0.67 % Problem :theBenchmark
% 0.19/0.67 % Transform :cnf
% 0.19/0.67 % Format :tptp:raw
% 0.19/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.67
% 0.19/0.67 % Result :Theorem 0.000000s
% 0.19/0.67 % Output :CNFRefutation 0.000000s
% 0.19/0.67 %-------------------------------------------
% 0.19/0.68 %------------------------------------------------------------------------------
% 0.19/0.68 % File : SEU435+1 : TPTP v8.1.2. Released v3.4.0.
% 0.19/0.68 % Domain : Set Theory
% 0.19/0.68 % Problem : First and Second Order Cutting of Binary Relations T36
% 0.19/0.68 % Version : [Urb08] axioms : Especial.
% 0.19/0.68 % English :
% 0.19/0.68
% 0.19/0.68 % Refs : [Ret05] Retel (2005), Properties of First and Second Order Cut
% 0.19/0.68 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 0.19/0.68 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 0.19/0.68 % Source : [Urb08]
% 0.19/0.68 % Names : t36_relset_2 [Urb08]
% 0.19/0.68
% 0.19/0.68 % Status : Theorem
% 0.19/0.68 % Rating : 0.08 v8.1.0, 0.06 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.1.0, 0.17 v6.0.0, 0.13 v5.5.0, 0.15 v5.4.0, 0.21 v5.3.0, 0.26 v5.2.0, 0.15 v5.1.0, 0.19 v5.0.0, 0.17 v4.1.0, 0.22 v4.0.1, 0.26 v4.0.0, 0.29 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0
% 0.19/0.68 % Syntax : Number of formulae : 51 ( 15 unt; 0 def)
% 0.19/0.68 % Number of atoms : 108 ( 8 equ)
% 0.19/0.68 % Maximal formula atoms : 6 ( 2 avg)
% 0.19/0.68 % Number of connectives : 69 ( 12 ~; 1 |; 26 &)
% 0.19/0.68 % ( 4 <=>; 26 =>; 0 <=; 0 <~>)
% 0.19/0.68 % Maximal formula depth : 13 ( 4 avg)
% 0.19/0.68 % Maximal term depth : 4 ( 1 avg)
% 0.19/0.68 % Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% 0.19/0.68 % Number of functors : 12 ( 12 usr; 1 con; 0-6 aty)
% 0.19/0.68 % Number of variables : 112 ( 101 !; 11 ?)
% 0.19/0.68 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.68
% 0.19/0.68 % Comments : Normal version: includes the axioms (which may be theorems from
% 0.19/0.68 % other articles) and background that are possibly necessary.
% 0.19/0.68 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 0.19/0.68 % : The problem encoding is based on set theory.
% 0.19/0.68 %------------------------------------------------------------------------------
% 0.19/0.68 fof(t36_relset_2,conjecture,
% 0.19/0.68 ! [A,B,C] :
% 0.19/0.68 ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))
% 0.19/0.68 => ! [D,E,F] :
% 0.19/0.68 ( m1_subset_1(F,k1_zfmisc_1(D))
% 0.19/0.68 => m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(antisymmetry_r2_hidden,axiom,
% 0.19/0.68 ! [A,B] :
% 0.19/0.68 ( r2_hidden(A,B)
% 0.19/0.68 => ~ r2_hidden(B,A) ) ).
% 0.19/0.68
% 0.19/0.68 fof(cc1_relat_1,axiom,
% 0.19/0.68 ! [A] :
% 0.19/0.68 ( v1_xboole_0(A)
% 0.19/0.68 => v1_relat_1(A) ) ).
% 0.19/0.68
% 0.19/0.68 fof(cc1_relset_1,axiom,
% 0.19/0.68 ! [A,B,C] :
% 0.19/0.68 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
% 0.19/0.68 => v1_relat_1(C) ) ).
% 0.19/0.68
% 0.19/0.68 fof(d4_relset_2,axiom,
% 0.19/0.68 ! [A,B,C] :
% 0.19/0.68 ( m1_subset_1(C,k1_zfmisc_1(A))
% 0.19/0.68 => ! [D] :
% 0.19/0.68 ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
% 0.19/0.68 => k7_relset_2(A,B,C,D) = k8_setfam_1(B,k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C))) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(dt_k1_xboole_0,axiom,
% 0.19/0.68 $true ).
% 0.19/0.68
% 0.19/0.68 fof(dt_k1_zfmisc_1,axiom,
% 0.19/0.68 $true ).
% 0.19/0.68
% 0.19/0.68 fof(dt_k2_zfmisc_1,axiom,
% 0.19/0.68 $true ).
% 0.19/0.68
% 0.19/0.68 fof(dt_k3_pua2mss1,axiom,
% 0.19/0.68 ! [A] : m1_eqrel_1(k3_pua2mss1(A),A) ).
% 0.19/0.68
% 0.19/0.68 fof(dt_k4_relset_2,axiom,
% 0.19/0.68 ! [A,B,C,D] :
% 0.19/0.68 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))
% 0.19/0.68 => m1_subset_1(k4_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ).
% 0.19/0.68
% 0.19/0.68 fof(dt_k5_relset_2,axiom,
% 0.19/0.68 ! [A,B] :
% 0.19/0.68 ( v1_relat_1(B)
% 0.19/0.68 => ( v1_relat_1(k5_relset_2(A,B))
% 0.19/0.68 & v1_funct_1(k5_relset_2(A,B)) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(dt_k6_relset_2,axiom,
% 0.19/0.68 ! [A,B,C] :
% 0.19/0.68 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))
% 0.19/0.68 => ( v1_funct_1(k6_relset_2(A,B,C))
% 0.19/0.68 & v1_funct_2(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A))
% 0.19/0.68 & m2_relset_1(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A)) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(dt_k7_relset_2,axiom,
% 0.19/0.68 $true ).
% 0.19/0.68
% 0.19/0.68 fof(dt_k8_relset_2,axiom,
% 0.19/0.68 ! [A,B,C,D] :
% 0.19/0.68 ( ( m1_subset_1(C,k1_zfmisc_1(A))
% 0.19/0.68 & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) )
% 0.19/0.68 => m1_subset_1(k8_relset_2(A,B,C,D),k1_zfmisc_1(B)) ) ).
% 0.19/0.68
% 0.19/0.68 fof(dt_k8_setfam_1,axiom,
% 0.19/0.68 ! [A,B] :
% 0.19/0.68 ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
% 0.19/0.68 => m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A)) ) ).
% 0.19/0.68
% 0.19/0.68 fof(dt_k9_relat_1,axiom,
% 0.19/0.68 $true ).
% 0.19/0.68
% 0.19/0.68 fof(dt_m1_eqrel_1,axiom,
% 0.19/0.68 ! [A,B] :
% 0.19/0.68 ( m1_eqrel_1(B,A)
% 0.19/0.68 => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ).
% 0.19/0.68
% 0.19/0.68 fof(dt_m1_relset_1,axiom,
% 0.19/0.68 $true ).
% 0.19/0.68
% 0.19/0.68 fof(dt_m1_subset_1,axiom,
% 0.19/0.68 $true ).
% 0.19/0.68
% 0.19/0.68 fof(dt_m2_relset_1,axiom,
% 0.19/0.68 ! [A,B,C] :
% 0.19/0.68 ( m2_relset_1(C,A,B)
% 0.19/0.68 => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ).
% 0.19/0.68
% 0.19/0.68 fof(existence_m1_eqrel_1,axiom,
% 0.19/0.68 ! [A] :
% 0.19/0.68 ? [B] : m1_eqrel_1(B,A) ).
% 0.19/0.68
% 0.19/0.68 fof(existence_m1_relset_1,axiom,
% 0.19/0.68 ! [A,B] :
% 0.19/0.68 ? [C] : m1_relset_1(C,A,B) ).
% 0.19/0.68
% 0.19/0.68 fof(existence_m1_subset_1,axiom,
% 0.19/0.68 ! [A] :
% 0.19/0.68 ? [B] : m1_subset_1(B,A) ).
% 0.19/0.68
% 0.19/0.68 fof(existence_m2_relset_1,axiom,
% 0.19/0.68 ! [A,B] :
% 0.19/0.68 ? [C] : m2_relset_1(C,A,B) ).
% 0.19/0.68
% 0.19/0.68 fof(fc12_relat_1,axiom,
% 0.19/0.68 ( v1_xboole_0(k1_xboole_0)
% 0.19/0.68 & v1_relat_1(k1_xboole_0)
% 0.19/0.68 & v3_relat_1(k1_xboole_0) ) ).
% 0.19/0.68
% 0.19/0.68 fof(fc1_subset_1,axiom,
% 0.19/0.68 ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ).
% 0.19/0.68
% 0.19/0.68 fof(fc1_sysrel,axiom,
% 0.19/0.68 ! [A,B] : v1_relat_1(k2_zfmisc_1(A,B)) ).
% 0.19/0.68
% 0.19/0.68 fof(fc4_relat_1,axiom,
% 0.19/0.68 ( v1_xboole_0(k1_xboole_0)
% 0.19/0.68 & v1_relat_1(k1_xboole_0) ) ).
% 0.19/0.68
% 0.19/0.68 fof(fc4_subset_1,axiom,
% 0.19/0.68 ! [A,B] :
% 0.19/0.68 ( ( ~ v1_xboole_0(A)
% 0.19/0.68 & ~ v1_xboole_0(B) )
% 0.19/0.68 => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ).
% 0.19/0.68
% 0.19/0.68 fof(fraenkel_a_6_0_relset_2,axiom,
% 0.19/0.68 ! [A,B,C,D,E,F,G] :
% 0.19/0.68 ( ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C))))
% 0.19/0.68 & m1_subset_1(G,k1_zfmisc_1(E)) )
% 0.19/0.68 => ( r2_hidden(A,a_6_0_relset_2(B,C,D,E,F,G))
% 0.19/0.68 <=> ? [H] :
% 0.19/0.68 ( m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(E,F)))
% 0.19/0.68 & A = k8_relset_2(E,F,G,H)
% 0.19/0.68 & r2_hidden(H,D) ) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(rc1_relat_1,axiom,
% 0.19/0.68 ? [A] :
% 0.19/0.68 ( v1_xboole_0(A)
% 0.19/0.68 & v1_relat_1(A) ) ).
% 0.19/0.68
% 0.19/0.68 fof(rc1_subset_1,axiom,
% 0.19/0.68 ! [A] :
% 0.19/0.68 ( ~ v1_xboole_0(A)
% 0.19/0.68 => ? [B] :
% 0.19/0.68 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.19/0.68 & ~ v1_xboole_0(B) ) ) ).
% 0.19/0.68
% 0.19/0.68 fof(rc2_partfun1,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ? [C] :
% 0.19/0.69 ( m1_relset_1(C,A,B)
% 0.19/0.69 & v1_relat_1(C)
% 0.19/0.69 & v1_funct_1(C) ) ).
% 0.19/0.69
% 0.19/0.69 fof(rc2_relat_1,axiom,
% 0.19/0.69 ? [A] :
% 0.19/0.69 ( ~ v1_xboole_0(A)
% 0.19/0.69 & v1_relat_1(A) ) ).
% 0.19/0.69
% 0.19/0.69 fof(rc2_subset_1,axiom,
% 0.19/0.69 ! [A] :
% 0.19/0.69 ? [B] :
% 0.19/0.69 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.19/0.69 & v1_xboole_0(B) ) ).
% 0.19/0.69
% 0.19/0.69 fof(rc3_relat_1,axiom,
% 0.19/0.69 ? [A] :
% 0.19/0.69 ( v1_relat_1(A)
% 0.19/0.69 & v3_relat_1(A) ) ).
% 0.19/0.69
% 0.19/0.69 fof(redefinition_k4_relset_2,axiom,
% 0.19/0.69 ! [A,B,C,D] :
% 0.19/0.69 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))
% 0.19/0.69 => k4_relset_2(A,B,C,D) = k9_relat_1(C,D) ) ).
% 0.19/0.69
% 0.19/0.69 fof(redefinition_k6_relset_2,axiom,
% 0.19/0.69 ! [A,B,C] :
% 0.19/0.69 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))
% 0.19/0.69 => k6_relset_2(A,B,C) = k5_relset_2(B,C) ) ).
% 0.19/0.69
% 0.19/0.69 fof(redefinition_k8_relset_2,axiom,
% 0.19/0.69 ! [A,B,C,D] :
% 0.19/0.69 ( ( m1_subset_1(C,k1_zfmisc_1(A))
% 0.19/0.69 & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) )
% 0.19/0.69 => k8_relset_2(A,B,C,D) = k7_relset_2(A,B,C,D) ) ).
% 0.19/0.69
% 0.19/0.69 fof(redefinition_m2_relset_1,axiom,
% 0.19/0.69 ! [A,B,C] :
% 0.19/0.69 ( m2_relset_1(C,A,B)
% 0.19/0.69 <=> m1_relset_1(C,A,B) ) ).
% 0.19/0.69
% 0.19/0.69 fof(reflexivity_r1_tarski,axiom,
% 0.19/0.69 ! [A,B] : r1_tarski(A,A) ).
% 0.19/0.69
% 0.19/0.69 fof(s8_domain_1__e1_46__relset_2,axiom,
% 0.19/0.69 ! [A,B,C,D,E,F] :
% 0.19/0.69 ( ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))
% 0.19/0.69 & m1_subset_1(F,k1_zfmisc_1(D)) )
% 0.19/0.69 => m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ) ).
% 0.19/0.69
% 0.19/0.69 fof(t1_subset,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ( r2_hidden(A,B)
% 0.19/0.69 => m1_subset_1(A,B) ) ).
% 0.19/0.69
% 0.19/0.69 fof(t2_subset,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ( m1_subset_1(A,B)
% 0.19/0.69 => ( v1_xboole_0(B)
% 0.19/0.69 | r2_hidden(A,B) ) ) ).
% 0.19/0.69
% 0.19/0.69 fof(t2_tarski,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ( ! [C] :
% 0.19/0.69 ( r2_hidden(C,A)
% 0.19/0.69 <=> r2_hidden(C,B) )
% 0.19/0.69 => A = B ) ).
% 0.19/0.69
% 0.19/0.69 fof(t3_subset,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ( m1_subset_1(A,k1_zfmisc_1(B))
% 0.19/0.69 <=> r1_tarski(A,B) ) ).
% 0.19/0.69
% 0.19/0.69 fof(t4_subset,axiom,
% 0.19/0.69 ! [A,B,C] :
% 0.19/0.69 ( ( r2_hidden(A,B)
% 0.19/0.69 & m1_subset_1(B,k1_zfmisc_1(C)) )
% 0.19/0.69 => m1_subset_1(A,C) ) ).
% 0.19/0.69
% 0.19/0.69 fof(t5_subset,axiom,
% 0.19/0.69 ! [A,B,C] :
% 0.19/0.69 ~ ( r2_hidden(A,B)
% 0.19/0.69 & m1_subset_1(B,k1_zfmisc_1(C))
% 0.19/0.69 & v1_xboole_0(C) ) ).
% 0.19/0.69
% 0.19/0.69 fof(t6_boole,axiom,
% 0.19/0.69 ! [A] :
% 0.19/0.69 ( v1_xboole_0(A)
% 0.19/0.69 => A = k1_xboole_0 ) ).
% 0.19/0.69
% 0.19/0.69 fof(t7_boole,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ~ ( r2_hidden(A,B)
% 0.19/0.69 & v1_xboole_0(B) ) ).
% 0.19/0.69
% 0.19/0.69 fof(t8_boole,axiom,
% 0.19/0.69 ! [A,B] :
% 0.19/0.69 ~ ( v1_xboole_0(A)
% 0.19/0.69 & A != B
% 0.19/0.69 & v1_xboole_0(B) ) ).
% 0.19/0.69
% 0.19/0.69 %------------------------------------------------------------------------------
% 0.19/0.69 %-------------------------------------------
% 0.19/0.69 % Proof found
% 0.19/0.69 % SZS status Theorem for theBenchmark
% 0.19/0.69 % SZS output start Proof
% 0.19/0.69 %ClaNum:139(EqnAxiom:74)
% 0.19/0.69 %VarNum:319(SingletonVarNum:136)
% 0.19/0.69 %MaxLitNum:6
% 0.19/0.69 %MaxfuncDepth:3
% 0.19/0.69 %SharedTerms:29
% 0.19/0.69 %goalClause: 87 98 101
% 0.19/0.69 %singleGoalClaCount:3
% 0.19/0.69 [76]P1(a1)
% 0.19/0.69 [77]P1(a2)
% 0.19/0.69 [79]P2(a1)
% 0.19/0.69 [80]P2(a2)
% 0.19/0.69 [81]P2(a6)
% 0.19/0.69 [82]P2(a9)
% 0.19/0.69 [83]P11(a1)
% 0.19/0.69 [84]P11(a9)
% 0.19/0.69 [99]~P1(a6)
% 0.19/0.69 [87]P4(a11,f21(a12))
% 0.19/0.69 [101]~P4(f4(a14,a16,a13,a12,a17,a11),f21(f21(a17)))
% 0.19/0.69 [98]P4(a13,f21(f21(f23(a14,a16))))
% 0.19/0.69 [86]P3(x861,x861)
% 0.19/0.69 [85]P1(f10(x851))
% 0.19/0.69 [88]P4(f18(x881),x881)
% 0.19/0.69 [89]P5(f22(x891),x891)
% 0.19/0.69 [90]P5(f19(x901),x901)
% 0.19/0.69 [91]P4(f10(x911),f21(x911))
% 0.19/0.69 [100]~P1(f21(x1001))
% 0.19/0.69 [92]P2(f23(x921,x922))
% 0.19/0.69 [93]P2(f7(x931,x932))
% 0.19/0.69 [94]P8(f7(x941,x942))
% 0.19/0.69 [95]P7(f3(x951,x952),x951,x952)
% 0.19/0.69 [96]P6(f20(x961,x962),x961,x962)
% 0.19/0.69 [97]P6(f7(x971,x972),x971,x972)
% 0.19/0.69 [102]~P1(x1021)+E(x1021,a1)
% 0.19/0.69 [103]~P1(x1031)+P2(x1031)
% 0.19/0.69 [105]P1(x1051)+~P1(f8(x1051))
% 0.19/0.69 [107]P1(x1071)+P4(f8(x1071),f21(x1071))
% 0.19/0.69 [106]~P1(x1061)+~P9(x1062,x1061)
% 0.19/0.69 [108]~P9(x1081,x1082)+P4(x1081,x1082)
% 0.19/0.69 [113]~P9(x1132,x1131)+~P9(x1131,x1132)
% 0.19/0.69 [109]~P2(x1092)+P2(f24(x1091,x1092))
% 0.19/0.69 [110]~P2(x1102)+P8(f24(x1101,x1102))
% 0.19/0.69 [112]~P3(x1121,x1122)+P4(x1121,f21(x1122))
% 0.19/0.69 [114]P3(x1141,x1142)+~P4(x1141,f21(x1142))
% 0.19/0.69 [115]~P5(x1151,x1152)+P4(x1151,f21(f21(x1152)))
% 0.19/0.69 [120]P4(f26(x1201,x1202),f21(x1201))+~P4(x1202,f21(f21(x1201)))
% 0.19/0.69 [123]~P6(x1231,x1232,x1233)+P7(x1231,x1232,x1233)
% 0.19/0.69 [124]~P7(x1241,x1242,x1243)+P6(x1241,x1242,x1243)
% 0.19/0.69 [121]P2(x1211)+~P4(x1211,f21(f23(x1212,x1213)))
% 0.19/0.69 [125]~P7(x1251,x1252,x1253)+P4(x1251,f21(f23(x1252,x1253)))
% 0.19/0.69 [126]E(f27(x1261,x1262,x1263),f24(x1262,x1263))+~P4(x1263,f21(f23(x1262,x1261)))
% 0.19/0.69 [127]~P4(x1273,f21(f23(x1272,x1271)))+P8(f27(x1271,x1272,x1273))
% 0.19/0.69 [128]P10(f27(x1281,x1282,x1283),f21(x1282),f21(x1281))+~P4(x1283,f21(f23(x1282,x1281)))
% 0.19/0.69 [129]P7(f27(x1291,x1292,x1293),f21(x1292),f21(x1291))+~P4(x1293,f21(f23(x1292,x1291)))
% 0.19/0.69 [130]E(f25(x1301,x1302,x1303,x1304),f30(x1303,x1304))+~P4(x1303,f21(f23(x1301,f21(x1302))))
% 0.19/0.69 [133]P4(f25(x1331,x1332,x1333,x1334),f21(f21(x1332)))+~P4(x1333,f21(f23(x1331,f21(x1332))))
% 0.19/0.69 [104]~P1(x1042)+~P1(x1041)+E(x1041,x1042)
% 0.19/0.69 [111]~P4(x1112,x1111)+P1(x1111)+P9(x1112,x1111)
% 0.19/0.69 [116]P1(x1161)+P1(x1162)+~P1(f23(x1162,x1161))
% 0.19/0.69 [119]E(x1191,x1192)+P9(f15(x1191,x1192),x1192)+P9(f15(x1191,x1192),x1191)
% 0.19/0.69 [122]E(x1221,x1222)+~P9(f15(x1221,x1222),x1222)+~P9(f15(x1221,x1222),x1221)
% 0.19/0.69 [117]~P1(x1171)+~P9(x1172,x1173)+~P4(x1173,f21(x1171))
% 0.19/0.69 [118]P4(x1181,x1182)+~P9(x1181,x1183)+~P4(x1183,f21(x1182))
% 0.19/0.69 [131]~P4(x1313,f21(x1311))+E(f28(x1311,x1312,x1313,x1314),f29(x1311,x1312,x1313,x1314))+~P4(x1314,f21(f23(x1311,x1312)))
% 0.19/0.69 [132]~P4(x1323,f21(x1321))+P4(f29(x1321,x1322,x1323,x1324),f21(x1322))+~P4(x1324,f21(f23(x1321,x1322)))
% 0.19/0.69 [134]~P4(x1344,f21(x1342))+~P4(x1343,f21(f23(x1342,x1341)))+E(f26(x1341,f25(f21(x1342),x1341,f27(x1341,x1342,x1343),f22(x1344))),f28(x1342,x1341,x1344,x1343))
% 0.19/0.69 [135]~P4(x1356,f21(x1354))+P4(f4(x1351,x1352,x1353,x1354,x1355,x1356),f21(f21(x1355)))+~P4(x1353,f21(f21(f23(x1351,x1352))))
% 0.19/0.69 [137]~P4(x1377,f21(x1375))+~P9(x1371,f4(x1372,x1373,x1374,x1375,x1376,x1377))+P9(f5(x1371,x1372,x1373,x1374,x1375,x1376,x1377),x1374)+~P4(x1374,f21(f21(f23(x1372,x1373))))
% 0.19/0.69 [138]~P4(x1387,f21(x1385))+~P9(x1381,f4(x1382,x1383,x1384,x1385,x1386,x1387))+P4(f5(x1381,x1382,x1383,x1384,x1385,x1386,x1387),f21(f23(x1385,x1386)))+~P4(x1384,f21(f21(f23(x1382,x1383))))
% 0.19/0.69 [139]~P4(x1393,f21(x1391))+~P9(x1394,f4(x1395,x1396,x1397,x1391,x1392,x1393))+E(f29(x1391,x1392,x1393,f5(x1394,x1395,x1396,x1397,x1391,x1392,x1393)),x1394)+~P4(x1397,f21(f21(f23(x1395,x1396))))
% 0.19/0.69 [136]~P9(x1368,x1364)+~P4(x1367,f21(x1365))+P9(x1361,f4(x1362,x1363,x1364,x1365,x1366,x1367))+~E(x1361,f29(x1365,x1366,x1367,x1368))+~P4(x1368,f21(f23(x1365,x1366)))+~P4(x1364,f21(f21(f23(x1362,x1363))))
% 0.19/0.69 %EqnAxiom
% 0.19/0.69 [1]E(x11,x11)
% 0.19/0.69 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.69 [4]~E(x41,x42)+E(f10(x41),f10(x42))
% 0.19/0.69 [5]~E(x51,x52)+E(f21(x51),f21(x52))
% 0.19/0.69 [6]~E(x61,x62)+E(f18(x61),f18(x62))
% 0.19/0.69 [7]~E(x71,x72)+E(f22(x71),f22(x72))
% 0.19/0.69 [8]~E(x81,x82)+E(f19(x81),f19(x82))
% 0.19/0.69 [9]~E(x91,x92)+E(f4(x91,x93,x94,x95,x96,x97),f4(x92,x93,x94,x95,x96,x97))
% 0.19/0.69 [10]~E(x101,x102)+E(f4(x103,x101,x104,x105,x106,x107),f4(x103,x102,x104,x105,x106,x107))
% 0.19/0.69 [11]~E(x111,x112)+E(f4(x113,x114,x111,x115,x116,x117),f4(x113,x114,x112,x115,x116,x117))
% 0.19/0.69 [12]~E(x121,x122)+E(f4(x123,x124,x125,x121,x126,x127),f4(x123,x124,x125,x122,x126,x127))
% 0.19/0.69 [13]~E(x131,x132)+E(f4(x133,x134,x135,x136,x131,x137),f4(x133,x134,x135,x136,x132,x137))
% 0.19/0.69 [14]~E(x141,x142)+E(f4(x143,x144,x145,x146,x147,x141),f4(x143,x144,x145,x146,x147,x142))
% 0.19/0.69 [15]~E(x151,x152)+E(f23(x151,x153),f23(x152,x153))
% 0.19/0.69 [16]~E(x161,x162)+E(f23(x163,x161),f23(x163,x162))
% 0.19/0.69 [17]~E(x171,x172)+E(f29(x171,x173,x174,x175),f29(x172,x173,x174,x175))
% 0.19/0.69 [18]~E(x181,x182)+E(f29(x183,x181,x184,x185),f29(x183,x182,x184,x185))
% 0.19/0.69 [19]~E(x191,x192)+E(f29(x193,x194,x191,x195),f29(x193,x194,x192,x195))
% 0.19/0.69 [20]~E(x201,x202)+E(f29(x203,x204,x205,x201),f29(x203,x204,x205,x202))
% 0.19/0.69 [21]~E(x211,x212)+E(f7(x211,x213),f7(x212,x213))
% 0.19/0.69 [22]~E(x221,x222)+E(f7(x223,x221),f7(x223,x222))
% 0.19/0.69 [23]~E(x231,x232)+E(f25(x231,x233,x234,x235),f25(x232,x233,x234,x235))
% 0.19/0.69 [24]~E(x241,x242)+E(f25(x243,x241,x244,x245),f25(x243,x242,x244,x245))
% 0.19/0.69 [25]~E(x251,x252)+E(f25(x253,x254,x251,x255),f25(x253,x254,x252,x255))
% 0.19/0.69 [26]~E(x261,x262)+E(f25(x263,x264,x265,x261),f25(x263,x264,x265,x262))
% 0.19/0.69 [27]~E(x271,x272)+E(f3(x271,x273),f3(x272,x273))
% 0.19/0.69 [28]~E(x281,x282)+E(f3(x283,x281),f3(x283,x282))
% 0.19/0.69 [29]~E(x291,x292)+E(f20(x291,x293),f20(x292,x293))
% 0.19/0.69 [30]~E(x301,x302)+E(f20(x303,x301),f20(x303,x302))
% 0.19/0.69 [31]~E(x311,x312)+E(f27(x311,x313,x314),f27(x312,x313,x314))
% 0.19/0.69 [32]~E(x321,x322)+E(f27(x323,x321,x324),f27(x323,x322,x324))
% 0.19/0.69 [33]~E(x331,x332)+E(f27(x333,x334,x331),f27(x333,x334,x332))
% 0.19/0.69 [34]~E(x341,x342)+E(f30(x341,x343),f30(x342,x343))
% 0.19/0.69 [35]~E(x351,x352)+E(f30(x353,x351),f30(x353,x352))
% 0.19/0.69 [36]~E(x361,x362)+E(f15(x361,x363),f15(x362,x363))
% 0.19/0.69 [37]~E(x371,x372)+E(f15(x373,x371),f15(x373,x372))
% 0.19/0.69 [38]~E(x381,x382)+E(f5(x381,x383,x384,x385,x386,x387,x388),f5(x382,x383,x384,x385,x386,x387,x388))
% 0.19/0.69 [39]~E(x391,x392)+E(f5(x393,x391,x394,x395,x396,x397,x398),f5(x393,x392,x394,x395,x396,x397,x398))
% 0.19/0.69 [40]~E(x401,x402)+E(f5(x403,x404,x401,x405,x406,x407,x408),f5(x403,x404,x402,x405,x406,x407,x408))
% 0.19/0.69 [41]~E(x411,x412)+E(f5(x413,x414,x415,x411,x416,x417,x418),f5(x413,x414,x415,x412,x416,x417,x418))
% 0.19/0.69 [42]~E(x421,x422)+E(f5(x423,x424,x425,x426,x421,x427,x428),f5(x423,x424,x425,x426,x422,x427,x428))
% 0.19/0.69 [43]~E(x431,x432)+E(f5(x433,x434,x435,x436,x437,x431,x438),f5(x433,x434,x435,x436,x437,x432,x438))
% 0.19/0.69 [44]~E(x441,x442)+E(f5(x443,x444,x445,x446,x447,x448,x441),f5(x443,x444,x445,x446,x447,x448,x442))
% 0.19/0.69 [45]~E(x451,x452)+E(f26(x451,x453),f26(x452,x453))
% 0.19/0.69 [46]~E(x461,x462)+E(f26(x463,x461),f26(x463,x462))
% 0.19/0.69 [47]~E(x471,x472)+E(f24(x471,x473),f24(x472,x473))
% 0.19/0.69 [48]~E(x481,x482)+E(f24(x483,x481),f24(x483,x482))
% 0.19/0.69 [49]~E(x491,x492)+E(f28(x491,x493,x494,x495),f28(x492,x493,x494,x495))
% 0.19/0.69 [50]~E(x501,x502)+E(f28(x503,x501,x504,x505),f28(x503,x502,x504,x505))
% 0.19/0.69 [51]~E(x511,x512)+E(f28(x513,x514,x511,x515),f28(x513,x514,x512,x515))
% 0.19/0.69 [52]~E(x521,x522)+E(f28(x523,x524,x525,x521),f28(x523,x524,x525,x522))
% 0.19/0.69 [53]~E(x531,x532)+E(f8(x531),f8(x532))
% 0.19/0.69 [54]~P1(x541)+P1(x542)+~E(x541,x542)
% 0.19/0.69 [55]P9(x552,x553)+~E(x551,x552)+~P9(x551,x553)
% 0.19/0.69 [56]P9(x563,x562)+~E(x561,x562)+~P9(x563,x561)
% 0.19/0.69 [57]P4(x572,x573)+~E(x571,x572)+~P4(x571,x573)
% 0.19/0.69 [58]P4(x583,x582)+~E(x581,x582)+~P4(x583,x581)
% 0.19/0.69 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.19/0.69 [60]~P8(x601)+P8(x602)+~E(x601,x602)
% 0.19/0.69 [61]P3(x612,x613)+~E(x611,x612)+~P3(x611,x613)
% 0.19/0.69 [62]P3(x623,x622)+~E(x621,x622)+~P3(x623,x621)
% 0.19/0.69 [63]P6(x632,x633,x634)+~E(x631,x632)+~P6(x631,x633,x634)
% 0.19/0.69 [64]P6(x643,x642,x644)+~E(x641,x642)+~P6(x643,x641,x644)
% 0.19/0.69 [65]P6(x653,x654,x652)+~E(x651,x652)+~P6(x653,x654,x651)
% 0.19/0.69 [66]P5(x662,x663)+~E(x661,x662)+~P5(x661,x663)
% 0.19/0.69 [67]P5(x673,x672)+~E(x671,x672)+~P5(x673,x671)
% 0.19/0.69 [68]~P11(x681)+P11(x682)+~E(x681,x682)
% 0.19/0.69 [69]P10(x692,x693,x694)+~E(x691,x692)+~P10(x691,x693,x694)
% 0.19/0.69 [70]P10(x703,x702,x704)+~E(x701,x702)+~P10(x703,x701,x704)
% 0.19/0.69 [71]P10(x713,x714,x712)+~E(x711,x712)+~P10(x713,x714,x711)
% 0.19/0.69 [72]P7(x722,x723,x724)+~E(x721,x722)+~P7(x721,x723,x724)
% 0.19/0.69 [73]P7(x733,x732,x734)+~E(x731,x732)+~P7(x733,x731,x734)
% 0.19/0.69 [74]P7(x743,x744,x742)+~E(x741,x742)+~P7(x743,x744,x741)
% 0.19/0.69
% 0.19/0.69 %-------------------------------------------
% 0.19/0.69 cnf(140,plain,
% 0.19/0.69 ($false),
% 0.19/0.69 inference(scs_inference,[],[87,101,98,135]),
% 0.19/0.69 ['proof']).
% 0.19/0.69 % SZS output end Proof
% 0.19/0.69 % Total time :0.000000s
%------------------------------------------------------------------------------