TSTP Solution File: SEU429+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU429+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n004.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 16:19:59 EDT 2023
% Result : Theorem 0.20s 0.66s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU429+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n004.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 24 00:01:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % File :CSE---1.6
% 0.20/0.64 % Problem :theBenchmark
% 0.20/0.64 % Transform :cnf
% 0.20/0.64 % Format :tptp:raw
% 0.20/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.64
% 0.20/0.64 % Result :Theorem 0.010000s
% 0.20/0.64 % Output :CNFRefutation 0.010000s
% 0.20/0.64 %-------------------------------------------
% 0.20/0.65 %------------------------------------------------------------------------------
% 0.20/0.65 % File : SEU429+1 : TPTP v8.1.2. Released v3.4.0.
% 0.20/0.65 % Domain : Set Theory
% 0.20/0.65 % Problem : First and Second Order Cutting of Binary Relations T28
% 0.20/0.65 % Version : [Urb08] axioms : Especial.
% 0.20/0.65 % English :
% 0.20/0.65
% 0.20/0.65 % Refs : [Ret05] Retel (2005), Properties of First and Second Order Cut
% 0.20/0.65 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 0.20/0.65 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 0.20/0.65 % Source : [Urb08]
% 0.20/0.65 % Names : t28_relset_2 [Urb08]
% 0.20/0.65
% 0.20/0.65 % Status : Theorem
% 0.20/0.65 % Rating : 0.11 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.1.0, 0.13 v6.0.0, 0.17 v5.5.0, 0.15 v5.4.0, 0.18 v5.3.0, 0.19 v5.2.0, 0.10 v5.1.0, 0.14 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
% 0.20/0.65 % Syntax : Number of formulae : 51 ( 15 unt; 0 def)
% 0.20/0.65 % Number of atoms : 111 ( 8 equ)
% 0.20/0.65 % Maximal formula atoms : 7 ( 2 avg)
% 0.20/0.65 % Number of connectives : 75 ( 15 ~; 1 |; 28 &)
% 0.20/0.65 % ( 4 <=>; 27 =>; 0 <=; 0 <~>)
% 0.20/0.65 % Maximal formula depth : 11 ( 4 avg)
% 0.20/0.65 % Maximal term depth : 4 ( 1 avg)
% 0.20/0.65 % Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% 0.20/0.65 % Number of functors : 12 ( 12 usr; 1 con; 0-4 aty)
% 0.20/0.65 % Number of variables : 106 ( 95 !; 11 ?)
% 0.20/0.65 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.65
% 0.20/0.65 % Comments : Normal version: includes the axioms (which may be theorems from
% 0.20/0.65 % other articles) and background that are possibly necessary.
% 0.20/0.65 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 0.20/0.65 % : The problem encoding is based on set theory.
% 0.20/0.65 %------------------------------------------------------------------------------
% 0.20/0.65 fof(t28_relset_2,conjecture,
% 0.20/0.65 ! [A] :
% 0.20/0.65 ( ~ v1_xboole_0(A)
% 0.20/0.65 => ! [B,C] :
% 0.20/0.65 ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
% 0.20/0.65 => ! [D] :
% 0.20/0.65 ( m2_relset_1(D,A,B)
% 0.20/0.65 => m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ) ).
% 0.20/0.65
% 0.20/0.65 fof(antisymmetry_r2_hidden,axiom,
% 0.20/0.65 ! [A,B] :
% 0.20/0.65 ( r2_hidden(A,B)
% 0.20/0.65 => ~ r2_hidden(B,A) ) ).
% 0.20/0.65
% 0.20/0.65 fof(cc1_relat_1,axiom,
% 0.20/0.65 ! [A] :
% 0.20/0.65 ( v1_xboole_0(A)
% 0.20/0.65 => v1_relat_1(A) ) ).
% 0.20/0.65
% 0.20/0.65 fof(cc1_relset_1,axiom,
% 0.20/0.65 ! [A,B,C] :
% 0.20/0.65 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
% 0.20/0.65 => v1_relat_1(C) ) ).
% 0.20/0.65
% 0.20/0.65 fof(d4_relset_2,axiom,
% 0.20/0.65 ! [A,B,C] :
% 0.20/0.65 ( m1_subset_1(C,k1_zfmisc_1(A))
% 0.20/0.65 => ! [D] :
% 0.20/0.65 ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
% 0.20/0.65 => 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))) ) ) ).
% 0.20/0.65
% 0.20/0.65 fof(dt_k1_xboole_0,axiom,
% 0.20/0.65 $true ).
% 0.20/0.65
% 0.20/0.65 fof(dt_k1_zfmisc_1,axiom,
% 0.20/0.65 $true ).
% 0.20/0.65
% 0.20/0.65 fof(dt_k2_zfmisc_1,axiom,
% 0.20/0.65 $true ).
% 0.20/0.65
% 0.20/0.65 fof(dt_k3_pua2mss1,axiom,
% 0.20/0.65 ! [A] : m1_eqrel_1(k3_pua2mss1(A),A) ).
% 0.20/0.65
% 0.20/0.65 fof(dt_k4_relset_2,axiom,
% 0.20/0.65 ! [A,B,C,D] :
% 0.20/0.65 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))
% 0.20/0.65 => m1_subset_1(k4_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ).
% 0.20/0.65
% 0.20/0.65 fof(dt_k5_relset_2,axiom,
% 0.20/0.65 ! [A,B] :
% 0.20/0.65 ( v1_relat_1(B)
% 0.20/0.65 => ( v1_relat_1(k5_relset_2(A,B))
% 0.20/0.65 & v1_funct_1(k5_relset_2(A,B)) ) ) ).
% 0.20/0.65
% 0.20/0.65 fof(dt_k6_relset_2,axiom,
% 0.20/0.65 ! [A,B,C] :
% 0.20/0.65 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))
% 0.20/0.65 => ( v1_funct_1(k6_relset_2(A,B,C))
% 0.20/0.65 & v1_funct_2(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A))
% 0.20/0.65 & m2_relset_1(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A)) ) ) ).
% 0.20/0.65
% 0.20/0.65 fof(dt_k7_relset_2,axiom,
% 0.20/0.65 $true ).
% 0.20/0.65
% 0.20/0.65 fof(dt_k8_relset_2,axiom,
% 0.20/0.65 ! [A,B,C,D] :
% 0.20/0.65 ( ( m1_subset_1(C,k1_zfmisc_1(A))
% 0.20/0.65 & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) )
% 0.20/0.65 => m1_subset_1(k8_relset_2(A,B,C,D),k1_zfmisc_1(B)) ) ).
% 0.20/0.65
% 0.20/0.65 fof(dt_k8_setfam_1,axiom,
% 0.20/0.65 ! [A,B] :
% 0.20/0.65 ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
% 0.20/0.65 => m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A)) ) ).
% 0.20/0.65
% 0.20/0.65 fof(dt_k9_relat_1,axiom,
% 0.20/0.65 $true ).
% 0.20/0.65
% 0.20/0.65 fof(dt_m1_eqrel_1,axiom,
% 0.20/0.65 ! [A,B] :
% 0.20/0.65 ( m1_eqrel_1(B,A)
% 0.20/0.65 => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ).
% 0.20/0.65
% 0.20/0.65 fof(dt_m1_relset_1,axiom,
% 0.20/0.65 $true ).
% 0.20/0.65
% 0.20/0.65 fof(dt_m1_subset_1,axiom,
% 0.20/0.65 $true ).
% 0.20/0.65
% 0.20/0.65 fof(dt_m2_relset_1,axiom,
% 0.20/0.65 ! [A,B,C] :
% 0.20/0.65 ( m2_relset_1(C,A,B)
% 0.20/0.65 => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ).
% 0.20/0.65
% 0.20/0.65 fof(existence_m1_eqrel_1,axiom,
% 0.20/0.65 ! [A] :
% 0.20/0.65 ? [B] : m1_eqrel_1(B,A) ).
% 0.20/0.65
% 0.20/0.65 fof(existence_m1_relset_1,axiom,
% 0.20/0.65 ! [A,B] :
% 0.20/0.65 ? [C] : m1_relset_1(C,A,B) ).
% 0.20/0.65
% 0.20/0.65 fof(existence_m1_subset_1,axiom,
% 0.20/0.65 ! [A] :
% 0.20/0.65 ? [B] : m1_subset_1(B,A) ).
% 0.20/0.65
% 0.20/0.65 fof(existence_m2_relset_1,axiom,
% 0.20/0.65 ! [A,B] :
% 0.20/0.65 ? [C] : m2_relset_1(C,A,B) ).
% 0.20/0.65
% 0.20/0.65 fof(fc12_relat_1,axiom,
% 0.20/0.65 ( v1_xboole_0(k1_xboole_0)
% 0.20/0.65 & v1_relat_1(k1_xboole_0)
% 0.20/0.65 & v3_relat_1(k1_xboole_0) ) ).
% 0.20/0.65
% 0.20/0.65 fof(fc1_subset_1,axiom,
% 0.20/0.65 ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ).
% 0.20/0.65
% 0.20/0.65 fof(fc1_sysrel,axiom,
% 0.20/0.65 ! [A,B] : v1_relat_1(k2_zfmisc_1(A,B)) ).
% 0.20/0.65
% 0.20/0.65 fof(fc4_relat_1,axiom,
% 0.20/0.65 ( v1_xboole_0(k1_xboole_0)
% 0.20/0.65 & v1_relat_1(k1_xboole_0) ) ).
% 0.20/0.65
% 0.20/0.65 fof(fc4_subset_1,axiom,
% 0.20/0.65 ! [A,B] :
% 0.20/0.65 ( ( ~ v1_xboole_0(A)
% 0.20/0.65 & ~ v1_xboole_0(B) )
% 0.20/0.65 => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ).
% 0.20/0.65
% 0.20/0.65 fof(fraenkel_a_4_1_relset_2,axiom,
% 0.20/0.65 ! [A,B,C,D,E] :
% 0.20/0.65 ( ( ~ v1_xboole_0(B)
% 0.20/0.65 & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B)))
% 0.20/0.65 & m2_relset_1(E,B,C) )
% 0.20/0.65 => ( r2_hidden(A,a_4_1_relset_2(B,C,D,E))
% 0.20/0.65 <=> ? [F] :
% 0.20/0.65 ( m1_subset_1(F,k1_zfmisc_1(B))
% 0.20/0.65 & A = k8_relset_2(B,C,F,E)
% 0.20/0.65 & r2_hidden(F,D) ) ) ) ).
% 0.20/0.65
% 0.20/0.65 fof(rc1_relat_1,axiom,
% 0.20/0.65 ? [A] :
% 0.20/0.65 ( v1_xboole_0(A)
% 0.20/0.65 & v1_relat_1(A) ) ).
% 0.20/0.65
% 0.20/0.65 fof(rc1_subset_1,axiom,
% 0.20/0.65 ! [A] :
% 0.20/0.65 ( ~ v1_xboole_0(A)
% 0.20/0.65 => ? [B] :
% 0.20/0.65 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.20/0.65 & ~ v1_xboole_0(B) ) ) ).
% 0.20/0.65
% 0.20/0.65 fof(rc2_partfun1,axiom,
% 0.20/0.65 ! [A,B] :
% 0.20/0.65 ? [C] :
% 0.20/0.65 ( m1_relset_1(C,A,B)
% 0.20/0.65 & v1_relat_1(C)
% 0.20/0.65 & v1_funct_1(C) ) ).
% 0.20/0.65
% 0.20/0.65 fof(rc2_relat_1,axiom,
% 0.20/0.65 ? [A] :
% 0.20/0.65 ( ~ v1_xboole_0(A)
% 0.20/0.65 & v1_relat_1(A) ) ).
% 0.20/0.65
% 0.20/0.65 fof(rc2_subset_1,axiom,
% 0.20/0.65 ! [A] :
% 0.20/0.65 ? [B] :
% 0.20/0.65 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.20/0.65 & v1_xboole_0(B) ) ).
% 0.20/0.65
% 0.20/0.65 fof(rc3_relat_1,axiom,
% 0.20/0.65 ? [A] :
% 0.20/0.65 ( v1_relat_1(A)
% 0.20/0.65 & v3_relat_1(A) ) ).
% 0.20/0.65
% 0.20/0.65 fof(redefinition_k4_relset_2,axiom,
% 0.20/0.65 ! [A,B,C,D] :
% 0.20/0.65 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))
% 0.20/0.65 => k4_relset_2(A,B,C,D) = k9_relat_1(C,D) ) ).
% 0.20/0.65
% 0.20/0.65 fof(redefinition_k6_relset_2,axiom,
% 0.20/0.65 ! [A,B,C] :
% 0.20/0.65 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))
% 0.20/0.65 => k6_relset_2(A,B,C) = k5_relset_2(B,C) ) ).
% 0.20/0.65
% 0.20/0.65 fof(redefinition_k8_relset_2,axiom,
% 0.20/0.65 ! [A,B,C,D] :
% 0.20/0.65 ( ( m1_subset_1(C,k1_zfmisc_1(A))
% 0.20/0.65 & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) )
% 0.20/0.65 => k8_relset_2(A,B,C,D) = k7_relset_2(A,B,C,D) ) ).
% 0.20/0.65
% 0.20/0.65 fof(redefinition_m2_relset_1,axiom,
% 0.20/0.65 ! [A,B,C] :
% 0.20/0.65 ( m2_relset_1(C,A,B)
% 0.20/0.65 <=> m1_relset_1(C,A,B) ) ).
% 0.20/0.65
% 0.20/0.65 fof(reflexivity_r1_tarski,axiom,
% 0.20/0.65 ! [A,B] : r1_tarski(A,A) ).
% 0.20/0.65
% 0.20/0.65 fof(s8_domain_1__e1_38__relset_2,axiom,
% 0.20/0.65 ! [A,B,C,D] :
% 0.20/0.65 ( ( ~ v1_xboole_0(A)
% 0.20/0.65 & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
% 0.20/0.65 & m2_relset_1(D,A,B) )
% 0.20/0.65 => m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ).
% 0.20/0.65
% 0.20/0.65 fof(t1_subset,axiom,
% 0.20/0.65 ! [A,B] :
% 0.20/0.65 ( r2_hidden(A,B)
% 0.20/0.65 => m1_subset_1(A,B) ) ).
% 0.20/0.65
% 0.20/0.65 fof(t2_subset,axiom,
% 0.20/0.65 ! [A,B] :
% 0.20/0.65 ( m1_subset_1(A,B)
% 0.20/0.66 => ( v1_xboole_0(B)
% 0.20/0.66 | r2_hidden(A,B) ) ) ).
% 0.20/0.66
% 0.20/0.66 fof(t2_tarski,axiom,
% 0.20/0.66 ! [A,B] :
% 0.20/0.66 ( ! [C] :
% 0.20/0.66 ( r2_hidden(C,A)
% 0.20/0.66 <=> r2_hidden(C,B) )
% 0.20/0.66 => A = B ) ).
% 0.20/0.66
% 0.20/0.66 fof(t3_subset,axiom,
% 0.20/0.66 ! [A,B] :
% 0.20/0.66 ( m1_subset_1(A,k1_zfmisc_1(B))
% 0.20/0.66 <=> r1_tarski(A,B) ) ).
% 0.20/0.66
% 0.20/0.66 fof(t4_subset,axiom,
% 0.20/0.66 ! [A,B,C] :
% 0.20/0.66 ( ( r2_hidden(A,B)
% 0.20/0.66 & m1_subset_1(B,k1_zfmisc_1(C)) )
% 0.20/0.66 => m1_subset_1(A,C) ) ).
% 0.20/0.66
% 0.20/0.66 fof(t5_subset,axiom,
% 0.20/0.66 ! [A,B,C] :
% 0.20/0.66 ~ ( r2_hidden(A,B)
% 0.20/0.66 & m1_subset_1(B,k1_zfmisc_1(C))
% 0.20/0.66 & v1_xboole_0(C) ) ).
% 0.20/0.66
% 0.20/0.66 fof(t6_boole,axiom,
% 0.20/0.66 ! [A] :
% 0.20/0.66 ( v1_xboole_0(A)
% 0.20/0.66 => A = k1_xboole_0 ) ).
% 0.20/0.66
% 0.20/0.66 fof(t7_boole,axiom,
% 0.20/0.66 ! [A,B] :
% 0.20/0.66 ~ ( r2_hidden(A,B)
% 0.20/0.66 & v1_xboole_0(B) ) ).
% 0.20/0.66
% 0.20/0.66 fof(t8_boole,axiom,
% 0.20/0.66 ! [A,B] :
% 0.20/0.66 ~ ( v1_xboole_0(A)
% 0.20/0.66 & A != B
% 0.20/0.66 & v1_xboole_0(B) ) ).
% 0.20/0.66
% 0.20/0.66 %------------------------------------------------------------------------------
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % Proof found
% 0.20/0.66 % SZS status Theorem for theBenchmark
% 0.20/0.66 % SZS output start Proof
% 0.20/0.66 %ClaNum:136(EqnAxiom:70)
% 0.20/0.66 %VarNum:306(SingletonVarNum:126)
% 0.20/0.66 %MaxLitNum:7
% 0.20/0.66 %MaxfuncDepth:3
% 0.20/0.66 %SharedTerms:26
% 0.20/0.66 %goalClause: 86 91 95 98
% 0.20/0.66 %singleGoalClaCount:4
% 0.20/0.66 [72]P1(a1)
% 0.20/0.66 [73]P1(a2)
% 0.20/0.66 [75]P2(a1)
% 0.20/0.66 [76]P2(a2)
% 0.20/0.66 [77]P2(a4)
% 0.20/0.66 [78]P2(a7)
% 0.20/0.66 [79]P11(a1)
% 0.20/0.66 [80]P11(a7)
% 0.20/0.66 [91]P7(a15,a12,a14)
% 0.20/0.66 [95]~P1(a12)
% 0.20/0.66 [96]~P1(a4)
% 0.20/0.66 [86]P4(a11,f20(f20(a12)))
% 0.20/0.66 [98]~P4(f3(a12,a14,a11,a15),f20(f20(a14)))
% 0.20/0.66 [82]P3(x821,x821)
% 0.20/0.66 [81]P1(f8(x811))
% 0.20/0.66 [83]P4(f9(x831),x831)
% 0.20/0.66 [84]P5(f19(x841),x841)
% 0.20/0.66 [85]P5(f10(x851),x851)
% 0.20/0.66 [87]P4(f8(x871),f20(x871))
% 0.20/0.66 [97]~P1(f20(x971))
% 0.20/0.66 [88]P2(f21(x881,x882))
% 0.20/0.66 [89]P2(f5(x891,x892))
% 0.20/0.66 [90]P8(f5(x901,x902))
% 0.20/0.66 [92]P7(f17(x921,x922),x921,x922)
% 0.20/0.66 [93]P6(f16(x931,x932),x931,x932)
% 0.20/0.66 [94]P6(f5(x941,x942),x941,x942)
% 0.20/0.66 [99]~P1(x991)+E(x991,a1)
% 0.20/0.66 [100]~P1(x1001)+P2(x1001)
% 0.20/0.66 [102]P1(x1021)+~P1(f6(x1021))
% 0.20/0.66 [104]P1(x1041)+P4(f6(x1041),f20(x1041))
% 0.20/0.66 [103]~P1(x1031)+~P9(x1032,x1031)
% 0.20/0.66 [105]~P9(x1051,x1052)+P4(x1051,x1052)
% 0.20/0.66 [110]~P9(x1102,x1101)+~P9(x1101,x1102)
% 0.20/0.66 [106]~P2(x1062)+P2(f22(x1061,x1062))
% 0.20/0.66 [107]~P2(x1072)+P8(f22(x1071,x1072))
% 0.20/0.66 [109]~P3(x1091,x1092)+P4(x1091,f20(x1092))
% 0.20/0.66 [111]P3(x1111,x1112)+~P4(x1111,f20(x1112))
% 0.20/0.66 [112]~P5(x1121,x1122)+P4(x1121,f20(f20(x1122)))
% 0.20/0.66 [117]P4(f24(x1171,x1172),f20(x1171))+~P4(x1172,f20(f20(x1171)))
% 0.20/0.66 [120]~P6(x1201,x1202,x1203)+P7(x1201,x1202,x1203)
% 0.20/0.66 [121]~P7(x1211,x1212,x1213)+P6(x1211,x1212,x1213)
% 0.20/0.66 [118]P2(x1181)+~P4(x1181,f20(f21(x1182,x1183)))
% 0.20/0.66 [122]~P7(x1221,x1222,x1223)+P4(x1221,f20(f21(x1222,x1223)))
% 0.20/0.66 [123]E(f25(x1231,x1232,x1233),f22(x1232,x1233))+~P4(x1233,f20(f21(x1232,x1231)))
% 0.20/0.66 [124]~P4(x1243,f20(f21(x1242,x1241)))+P8(f25(x1241,x1242,x1243))
% 0.20/0.66 [125]P7(f25(x1251,x1252,x1253),f20(x1252),f20(x1251))+~P4(x1253,f20(f21(x1252,x1251)))
% 0.20/0.66 [126]P10(f25(x1261,x1262,x1263),f20(x1262),f20(x1261))+~P4(x1263,f20(f21(x1262,x1261)))
% 0.20/0.66 [127]E(f23(x1271,x1272,x1273,x1274),f28(x1273,x1274))+~P4(x1273,f20(f21(x1271,f20(x1272))))
% 0.20/0.66 [131]P4(f23(x1311,x1312,x1313,x1314),f20(f20(x1312)))+~P4(x1313,f20(f21(x1311,f20(x1312))))
% 0.20/0.66 [101]~P1(x1012)+~P1(x1011)+E(x1011,x1012)
% 0.20/0.66 [108]~P4(x1082,x1081)+P1(x1081)+P9(x1082,x1081)
% 0.20/0.66 [113]P1(x1131)+P1(x1132)+~P1(f21(x1132,x1131))
% 0.20/0.66 [116]E(x1161,x1162)+P9(f13(x1161,x1162),x1162)+P9(f13(x1161,x1162),x1161)
% 0.20/0.66 [119]E(x1191,x1192)+~P9(f13(x1191,x1192),x1192)+~P9(f13(x1191,x1192),x1191)
% 0.20/0.66 [114]~P1(x1141)+~P9(x1142,x1143)+~P4(x1143,f20(x1141))
% 0.20/0.66 [115]P4(x1151,x1152)+~P9(x1151,x1153)+~P4(x1153,f20(x1152))
% 0.20/0.66 [128]~P4(x1283,f20(x1281))+E(f26(x1281,x1282,x1283,x1284),f27(x1281,x1282,x1283,x1284))+~P4(x1284,f20(f21(x1281,x1282)))
% 0.20/0.66 [129]~P4(x1293,f20(x1291))+P4(f27(x1291,x1292,x1293,x1294),f20(x1292))+~P4(x1294,f20(f21(x1291,x1292)))
% 0.20/0.66 [133]~P4(x1334,f20(x1332))+~P4(x1333,f20(f21(x1332,x1331)))+E(f24(x1331,f23(f20(x1332),x1331,f25(x1331,x1332,x1333),f19(x1334))),f26(x1332,x1331,x1334,x1333))
% 0.20/0.66 [130]~P7(x1304,x1301,x1302)+P1(x1301)+~P4(x1303,f20(f20(x1301)))+P4(f3(x1301,x1302,x1303,x1304),f20(f20(x1302)))
% 0.20/0.66 [134]~P7(x1345,x1341,x1343)+P1(x1341)+~P9(x1342,f3(x1341,x1343,x1344,x1345))+P9(f18(x1342,x1341,x1343,x1344,x1345),x1344)+~P4(x1344,f20(f20(x1341)))
% 0.20/0.66 [135]~P7(x1355,x1351,x1353)+P1(x1351)+~P9(x1352,f3(x1351,x1353,x1354,x1355))+P4(f18(x1352,x1351,x1353,x1354,x1355),f20(x1351))+~P4(x1354,f20(f20(x1351)))
% 0.20/0.66 [136]P1(x1361)+~P7(x1365,x1361,x1362)+~P9(x1363,f3(x1361,x1362,x1364,x1365))+~P4(x1364,f20(f20(x1361)))+E(f27(x1361,x1362,f18(x1363,x1361,x1362,x1364,x1365),x1365),x1363)
% 0.20/0.66 [132]~P9(x1326,x1324)+~P7(x1325,x1321,x1323)+P1(x1321)+~P4(x1326,f20(x1321))+P9(x1322,f3(x1321,x1323,x1324,x1325))+~E(x1322,f27(x1321,x1323,x1326,x1325))+~P4(x1324,f20(f20(x1321)))
% 0.20/0.66 %EqnAxiom
% 0.20/0.66 [1]E(x11,x11)
% 0.20/0.66 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.66 [4]~E(x41,x42)+E(f8(x41),f8(x42))
% 0.20/0.66 [5]~E(x51,x52)+E(f9(x51),f9(x52))
% 0.20/0.66 [6]~E(x61,x62)+E(f19(x61),f19(x62))
% 0.20/0.66 [7]~E(x71,x72)+E(f10(x71),f10(x72))
% 0.20/0.66 [8]~E(x81,x82)+E(f20(x81),f20(x82))
% 0.20/0.66 [9]~E(x91,x92)+E(f27(x91,x93,x94,x95),f27(x92,x93,x94,x95))
% 0.20/0.66 [10]~E(x101,x102)+E(f27(x103,x101,x104,x105),f27(x103,x102,x104,x105))
% 0.20/0.66 [11]~E(x111,x112)+E(f27(x113,x114,x111,x115),f27(x113,x114,x112,x115))
% 0.20/0.66 [12]~E(x121,x122)+E(f27(x123,x124,x125,x121),f27(x123,x124,x125,x122))
% 0.20/0.66 [13]~E(x131,x132)+E(f3(x131,x133,x134,x135),f3(x132,x133,x134,x135))
% 0.20/0.66 [14]~E(x141,x142)+E(f3(x143,x141,x144,x145),f3(x143,x142,x144,x145))
% 0.20/0.66 [15]~E(x151,x152)+E(f3(x153,x154,x151,x155),f3(x153,x154,x152,x155))
% 0.20/0.66 [16]~E(x161,x162)+E(f3(x163,x164,x165,x161),f3(x163,x164,x165,x162))
% 0.20/0.66 [17]~E(x171,x172)+E(f18(x171,x173,x174,x175,x176),f18(x172,x173,x174,x175,x176))
% 0.20/0.66 [18]~E(x181,x182)+E(f18(x183,x181,x184,x185,x186),f18(x183,x182,x184,x185,x186))
% 0.20/0.66 [19]~E(x191,x192)+E(f18(x193,x194,x191,x195,x196),f18(x193,x194,x192,x195,x196))
% 0.20/0.66 [20]~E(x201,x202)+E(f18(x203,x204,x205,x201,x206),f18(x203,x204,x205,x202,x206))
% 0.20/0.66 [21]~E(x211,x212)+E(f18(x213,x214,x215,x216,x211),f18(x213,x214,x215,x216,x212))
% 0.20/0.66 [22]~E(x221,x222)+E(f21(x221,x223),f21(x222,x223))
% 0.20/0.66 [23]~E(x231,x232)+E(f21(x233,x231),f21(x233,x232))
% 0.20/0.66 [24]~E(x241,x242)+E(f5(x241,x243),f5(x242,x243))
% 0.20/0.66 [25]~E(x251,x252)+E(f5(x253,x251),f5(x253,x252))
% 0.20/0.66 [26]~E(x261,x262)+E(f23(x261,x263,x264,x265),f23(x262,x263,x264,x265))
% 0.20/0.66 [27]~E(x271,x272)+E(f23(x273,x271,x274,x275),f23(x273,x272,x274,x275))
% 0.20/0.66 [28]~E(x281,x282)+E(f23(x283,x284,x281,x285),f23(x283,x284,x282,x285))
% 0.20/0.66 [29]~E(x291,x292)+E(f23(x293,x294,x295,x291),f23(x293,x294,x295,x292))
% 0.20/0.66 [30]~E(x301,x302)+E(f17(x301,x303),f17(x302,x303))
% 0.20/0.66 [31]~E(x311,x312)+E(f17(x313,x311),f17(x313,x312))
% 0.20/0.66 [32]~E(x321,x322)+E(f16(x321,x323),f16(x322,x323))
% 0.20/0.66 [33]~E(x331,x332)+E(f16(x333,x331),f16(x333,x332))
% 0.20/0.66 [34]~E(x341,x342)+E(f28(x341,x343),f28(x342,x343))
% 0.20/0.66 [35]~E(x351,x352)+E(f28(x353,x351),f28(x353,x352))
% 0.20/0.66 [36]~E(x361,x362)+E(f25(x361,x363,x364),f25(x362,x363,x364))
% 0.20/0.66 [37]~E(x371,x372)+E(f25(x373,x371,x374),f25(x373,x372,x374))
% 0.20/0.66 [38]~E(x381,x382)+E(f25(x383,x384,x381),f25(x383,x384,x382))
% 0.20/0.66 [39]~E(x391,x392)+E(f13(x391,x393),f13(x392,x393))
% 0.20/0.66 [40]~E(x401,x402)+E(f13(x403,x401),f13(x403,x402))
% 0.20/0.66 [41]~E(x411,x412)+E(f24(x411,x413),f24(x412,x413))
% 0.20/0.66 [42]~E(x421,x422)+E(f24(x423,x421),f24(x423,x422))
% 0.20/0.66 [43]~E(x431,x432)+E(f26(x431,x433,x434,x435),f26(x432,x433,x434,x435))
% 0.20/0.66 [44]~E(x441,x442)+E(f26(x443,x441,x444,x445),f26(x443,x442,x444,x445))
% 0.20/0.66 [45]~E(x451,x452)+E(f26(x453,x454,x451,x455),f26(x453,x454,x452,x455))
% 0.20/0.66 [46]~E(x461,x462)+E(f26(x463,x464,x465,x461),f26(x463,x464,x465,x462))
% 0.20/0.66 [47]~E(x471,x472)+E(f6(x471),f6(x472))
% 0.20/0.66 [48]~E(x481,x482)+E(f22(x481,x483),f22(x482,x483))
% 0.20/0.66 [49]~E(x491,x492)+E(f22(x493,x491),f22(x493,x492))
% 0.20/0.66 [50]~P1(x501)+P1(x502)+~E(x501,x502)
% 0.20/0.66 [51]P9(x512,x513)+~E(x511,x512)+~P9(x511,x513)
% 0.20/0.66 [52]P9(x523,x522)+~E(x521,x522)+~P9(x523,x521)
% 0.20/0.66 [53]P4(x532,x533)+~E(x531,x532)+~P4(x531,x533)
% 0.20/0.66 [54]P4(x543,x542)+~E(x541,x542)+~P4(x543,x541)
% 0.20/0.66 [55]~P2(x551)+P2(x552)+~E(x551,x552)
% 0.20/0.66 [56]~P8(x561)+P8(x562)+~E(x561,x562)
% 0.20/0.66 [57]P3(x572,x573)+~E(x571,x572)+~P3(x571,x573)
% 0.20/0.66 [58]P3(x583,x582)+~E(x581,x582)+~P3(x583,x581)
% 0.20/0.66 [59]P7(x592,x593,x594)+~E(x591,x592)+~P7(x591,x593,x594)
% 0.20/0.66 [60]P7(x603,x602,x604)+~E(x601,x602)+~P7(x603,x601,x604)
% 0.20/0.66 [61]P7(x613,x614,x612)+~E(x611,x612)+~P7(x613,x614,x611)
% 0.20/0.66 [62]P5(x622,x623)+~E(x621,x622)+~P5(x621,x623)
% 0.20/0.66 [63]P5(x633,x632)+~E(x631,x632)+~P5(x633,x631)
% 0.20/0.66 [64]~P11(x641)+P11(x642)+~E(x641,x642)
% 0.20/0.66 [65]P10(x652,x653,x654)+~E(x651,x652)+~P10(x651,x653,x654)
% 0.20/0.66 [66]P10(x663,x662,x664)+~E(x661,x662)+~P10(x663,x661,x664)
% 0.20/0.66 [67]P10(x673,x674,x672)+~E(x671,x672)+~P10(x673,x674,x671)
% 0.20/0.66 [68]P6(x682,x683,x684)+~E(x681,x682)+~P6(x681,x683,x684)
% 0.20/0.66 [69]P6(x693,x692,x694)+~E(x691,x692)+~P6(x693,x691,x694)
% 0.20/0.66 [70]P6(x703,x704,x702)+~E(x701,x702)+~P6(x703,x704,x701)
% 0.20/0.66
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 cnf(137,plain,
% 0.20/0.66 ($false),
% 0.20/0.66 inference(scs_inference,[],[91,95,86,98,130]),
% 0.20/0.66 ['proof']).
% 0.20/0.66 % SZS output end Proof
% 0.20/0.66 % Total time :0.010000s
%------------------------------------------------------------------------------