TSTP Solution File: SEU140+2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU140+2 : 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 : 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 16:17:47 EDT 2023
% Result : Theorem 0.57s 0.75s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU140+2 : 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
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 23:38:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.57/0.73 %-------------------------------------------
% 0.57/0.73 % File :CSE---1.6
% 0.57/0.73 % Problem :theBenchmark
% 0.57/0.73 % Transform :cnf
% 0.57/0.73 % Format :tptp:raw
% 0.57/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.57/0.73
% 0.57/0.73 % Result :Theorem 0.100000s
% 0.57/0.73 % Output :CNFRefutation 0.100000s
% 0.57/0.73 %-------------------------------------------
% 0.57/0.74 %------------------------------------------------------------------------------
% 0.57/0.74 % File : SEU140+2 : TPTP v8.1.2. Released v3.3.0.
% 0.57/0.74 % Domain : Set theory
% 0.57/0.74 % Problem : MPTP chainy problem t63_xboole_1
% 0.57/0.74 % Version : [Urb07] axioms : Especial.
% 0.57/0.74 % English :
% 0.57/0.74
% 0.57/0.74 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.57/0.74 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.57/0.74 % Source : [Urb07]
% 0.57/0.74 % Names : chainy-t63_xboole_1 [Urb07]
% 0.57/0.74
% 0.57/0.74 % Status : Theorem
% 0.57/0.74 % Rating : 0.14 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.10 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.21 v6.2.0, 0.24 v6.1.0, 0.20 v6.0.0, 0.22 v5.5.0, 0.26 v5.4.0, 0.29 v5.3.0, 0.26 v5.2.0, 0.10 v5.0.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0, 0.26 v3.3.0
% 0.57/0.74 % Syntax : Number of formulae : 56 ( 24 unt; 0 def)
% 0.57/0.74 % Number of atoms : 109 ( 27 equ)
% 0.57/0.74 % Maximal formula atoms : 6 ( 1 avg)
% 0.57/0.74 % Number of connectives : 76 ( 23 ~; 1 |; 20 &)
% 0.57/0.74 % ( 14 <=>; 18 =>; 0 <=; 0 <~>)
% 0.57/0.74 % Maximal formula depth : 9 ( 4 avg)
% 0.57/0.74 % Maximal term depth : 3 ( 1 avg)
% 0.57/0.74 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% 0.57/0.74 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.57/0.74 % Number of variables : 111 ( 107 !; 4 ?)
% 0.57/0.74 % SPC : FOF_THM_RFO_SEQ
% 0.57/0.74
% 0.57/0.74 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.57/0.74 % library, www.mizar.org
% 0.57/0.74 %------------------------------------------------------------------------------
% 0.57/0.74 fof(antisymmetry_r2_hidden,axiom,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( in(A,B)
% 0.57/0.74 => ~ in(B,A) ) ).
% 0.57/0.74
% 0.57/0.74 fof(antisymmetry_r2_xboole_0,axiom,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( proper_subset(A,B)
% 0.57/0.74 => ~ proper_subset(B,A) ) ).
% 0.57/0.74
% 0.57/0.74 fof(commutativity_k2_xboole_0,axiom,
% 0.57/0.74 ! [A,B] : set_union2(A,B) = set_union2(B,A) ).
% 0.57/0.74
% 0.57/0.74 fof(commutativity_k3_xboole_0,axiom,
% 0.57/0.74 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 0.57/0.74
% 0.57/0.74 fof(d10_xboole_0,axiom,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( A = B
% 0.57/0.74 <=> ( subset(A,B)
% 0.57/0.74 & subset(B,A) ) ) ).
% 0.57/0.74
% 0.57/0.74 fof(d1_xboole_0,axiom,
% 0.57/0.74 ! [A] :
% 0.57/0.74 ( A = empty_set
% 0.57/0.74 <=> ! [B] : ~ in(B,A) ) ).
% 0.57/0.74
% 0.57/0.74 fof(d2_xboole_0,axiom,
% 0.57/0.74 ! [A,B,C] :
% 0.57/0.74 ( C = set_union2(A,B)
% 0.57/0.74 <=> ! [D] :
% 0.57/0.74 ( in(D,C)
% 0.57/0.74 <=> ( in(D,A)
% 0.57/0.74 | in(D,B) ) ) ) ).
% 0.57/0.74
% 0.57/0.74 fof(d3_tarski,axiom,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( subset(A,B)
% 0.57/0.74 <=> ! [C] :
% 0.57/0.74 ( in(C,A)
% 0.57/0.74 => in(C,B) ) ) ).
% 0.57/0.74
% 0.57/0.74 fof(d3_xboole_0,axiom,
% 0.57/0.74 ! [A,B,C] :
% 0.57/0.74 ( C = set_intersection2(A,B)
% 0.57/0.74 <=> ! [D] :
% 0.57/0.74 ( in(D,C)
% 0.57/0.74 <=> ( in(D,A)
% 0.57/0.74 & in(D,B) ) ) ) ).
% 0.57/0.74
% 0.57/0.74 fof(d4_xboole_0,axiom,
% 0.57/0.74 ! [A,B,C] :
% 0.57/0.74 ( C = set_difference(A,B)
% 0.57/0.74 <=> ! [D] :
% 0.57/0.74 ( in(D,C)
% 0.57/0.74 <=> ( in(D,A)
% 0.57/0.74 & ~ in(D,B) ) ) ) ).
% 0.57/0.74
% 0.57/0.74 fof(d7_xboole_0,axiom,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( disjoint(A,B)
% 0.57/0.74 <=> set_intersection2(A,B) = empty_set ) ).
% 0.57/0.74
% 0.57/0.74 fof(d8_xboole_0,axiom,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( proper_subset(A,B)
% 0.57/0.74 <=> ( subset(A,B)
% 0.57/0.74 & A != B ) ) ).
% 0.57/0.74
% 0.57/0.74 fof(dt_k1_xboole_0,axiom,
% 0.57/0.74 $true ).
% 0.57/0.74
% 0.57/0.74 fof(dt_k2_xboole_0,axiom,
% 0.57/0.74 $true ).
% 0.57/0.74
% 0.57/0.74 fof(dt_k3_xboole_0,axiom,
% 0.57/0.74 $true ).
% 0.57/0.74
% 0.57/0.74 fof(dt_k4_xboole_0,axiom,
% 0.57/0.74 $true ).
% 0.57/0.74
% 0.57/0.74 fof(fc1_xboole_0,axiom,
% 0.57/0.74 empty(empty_set) ).
% 0.57/0.74
% 0.57/0.74 fof(fc2_xboole_0,axiom,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( ~ empty(A)
% 0.57/0.74 => ~ empty(set_union2(A,B)) ) ).
% 0.57/0.74
% 0.57/0.74 fof(fc3_xboole_0,axiom,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( ~ empty(A)
% 0.57/0.74 => ~ empty(set_union2(B,A)) ) ).
% 0.57/0.74
% 0.57/0.74 fof(idempotence_k2_xboole_0,axiom,
% 0.57/0.74 ! [A,B] : set_union2(A,A) = A ).
% 0.57/0.74
% 0.57/0.74 fof(idempotence_k3_xboole_0,axiom,
% 0.57/0.74 ! [A,B] : set_intersection2(A,A) = A ).
% 0.57/0.74
% 0.57/0.74 fof(irreflexivity_r2_xboole_0,axiom,
% 0.57/0.74 ! [A,B] : ~ proper_subset(A,A) ).
% 0.57/0.74
% 0.57/0.74 fof(l32_xboole_1,lemma,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( set_difference(A,B) = empty_set
% 0.57/0.74 <=> subset(A,B) ) ).
% 0.57/0.74
% 0.57/0.74 fof(rc1_xboole_0,axiom,
% 0.57/0.74 ? [A] : empty(A) ).
% 0.57/0.74
% 0.57/0.74 fof(rc2_xboole_0,axiom,
% 0.57/0.74 ? [A] : ~ empty(A) ).
% 0.57/0.74
% 0.57/0.74 fof(reflexivity_r1_tarski,axiom,
% 0.57/0.74 ! [A,B] : subset(A,A) ).
% 0.57/0.74
% 0.57/0.74 fof(symmetry_r1_xboole_0,axiom,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( disjoint(A,B)
% 0.57/0.74 => disjoint(B,A) ) ).
% 0.57/0.74
% 0.57/0.74 fof(t12_xboole_1,lemma,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( subset(A,B)
% 0.57/0.74 => set_union2(A,B) = B ) ).
% 0.57/0.74
% 0.57/0.74 fof(t17_xboole_1,lemma,
% 0.57/0.74 ! [A,B] : subset(set_intersection2(A,B),A) ).
% 0.57/0.74
% 0.57/0.74 fof(t19_xboole_1,lemma,
% 0.57/0.74 ! [A,B,C] :
% 0.57/0.74 ( ( subset(A,B)
% 0.57/0.74 & subset(A,C) )
% 0.57/0.74 => subset(A,set_intersection2(B,C)) ) ).
% 0.57/0.74
% 0.57/0.74 fof(t1_boole,axiom,
% 0.57/0.74 ! [A] : set_union2(A,empty_set) = A ).
% 0.57/0.74
% 0.57/0.74 fof(t1_xboole_1,lemma,
% 0.57/0.74 ! [A,B,C] :
% 0.57/0.74 ( ( subset(A,B)
% 0.57/0.74 & subset(B,C) )
% 0.57/0.74 => subset(A,C) ) ).
% 0.57/0.74
% 0.57/0.74 fof(t26_xboole_1,lemma,
% 0.57/0.74 ! [A,B,C] :
% 0.57/0.74 ( subset(A,B)
% 0.57/0.74 => subset(set_intersection2(A,C),set_intersection2(B,C)) ) ).
% 0.57/0.74
% 0.57/0.74 fof(t28_xboole_1,lemma,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( subset(A,B)
% 0.57/0.74 => set_intersection2(A,B) = A ) ).
% 0.57/0.74
% 0.57/0.74 fof(t2_boole,axiom,
% 0.57/0.74 ! [A] : set_intersection2(A,empty_set) = empty_set ).
% 0.57/0.74
% 0.57/0.74 fof(t2_tarski,axiom,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( ! [C] :
% 0.57/0.74 ( in(C,A)
% 0.57/0.74 <=> in(C,B) )
% 0.57/0.74 => A = B ) ).
% 0.57/0.74
% 0.57/0.74 fof(t2_xboole_1,lemma,
% 0.57/0.74 ! [A] : subset(empty_set,A) ).
% 0.57/0.74
% 0.57/0.74 fof(t33_xboole_1,lemma,
% 0.57/0.74 ! [A,B,C] :
% 0.57/0.74 ( subset(A,B)
% 0.57/0.74 => subset(set_difference(A,C),set_difference(B,C)) ) ).
% 0.57/0.74
% 0.57/0.74 fof(t36_xboole_1,lemma,
% 0.57/0.74 ! [A,B] : subset(set_difference(A,B),A) ).
% 0.57/0.74
% 0.57/0.74 fof(t37_xboole_1,lemma,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( set_difference(A,B) = empty_set
% 0.57/0.74 <=> subset(A,B) ) ).
% 0.57/0.74
% 0.57/0.74 fof(t39_xboole_1,lemma,
% 0.57/0.74 ! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B) ).
% 0.57/0.74
% 0.57/0.74 fof(t3_boole,axiom,
% 0.57/0.74 ! [A] : set_difference(A,empty_set) = A ).
% 0.57/0.74
% 0.57/0.74 fof(t3_xboole_0,lemma,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( ~ ( ~ disjoint(A,B)
% 0.57/0.74 & ! [C] :
% 0.57/0.74 ~ ( in(C,A)
% 0.57/0.74 & in(C,B) ) )
% 0.57/0.74 & ~ ( ? [C] :
% 0.57/0.74 ( in(C,A)
% 0.57/0.74 & in(C,B) )
% 0.57/0.74 & disjoint(A,B) ) ) ).
% 0.57/0.74
% 0.57/0.74 fof(t3_xboole_1,lemma,
% 0.57/0.74 ! [A] :
% 0.57/0.74 ( subset(A,empty_set)
% 0.57/0.74 => A = empty_set ) ).
% 0.57/0.74
% 0.57/0.74 fof(t40_xboole_1,lemma,
% 0.57/0.74 ! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) ).
% 0.57/0.74
% 0.57/0.74 fof(t45_xboole_1,lemma,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( subset(A,B)
% 0.57/0.74 => B = set_union2(A,set_difference(B,A)) ) ).
% 0.57/0.74
% 0.57/0.74 fof(t48_xboole_1,lemma,
% 0.57/0.74 ! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B) ).
% 0.57/0.74
% 0.57/0.74 fof(t4_boole,axiom,
% 0.57/0.74 ! [A] : set_difference(empty_set,A) = empty_set ).
% 0.57/0.74
% 0.57/0.74 fof(t4_xboole_0,lemma,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ( ~ ( ~ disjoint(A,B)
% 0.57/0.74 & ! [C] : ~ in(C,set_intersection2(A,B)) )
% 0.57/0.74 & ~ ( ? [C] : in(C,set_intersection2(A,B))
% 0.57/0.74 & disjoint(A,B) ) ) ).
% 0.57/0.74
% 0.57/0.74 fof(t60_xboole_1,lemma,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ~ ( subset(A,B)
% 0.57/0.74 & proper_subset(B,A) ) ).
% 0.57/0.74
% 0.57/0.74 fof(t63_xboole_1,conjecture,
% 0.57/0.74 ! [A,B,C] :
% 0.57/0.74 ( ( subset(A,B)
% 0.57/0.74 & disjoint(B,C) )
% 0.57/0.74 => disjoint(A,C) ) ).
% 0.57/0.74
% 0.57/0.74 fof(t6_boole,axiom,
% 0.57/0.74 ! [A] :
% 0.57/0.74 ( empty(A)
% 0.57/0.74 => A = empty_set ) ).
% 0.57/0.74
% 0.57/0.74 fof(t7_boole,axiom,
% 0.57/0.74 ! [A,B] :
% 0.57/0.74 ~ ( in(A,B)
% 0.57/0.74 & empty(B) ) ).
% 0.57/0.74
% 0.57/0.74 fof(t7_xboole_1,lemma,
% 0.57/0.74 ! [A,B] : subset(A,set_union2(A,B)) ).
% 0.57/0.75
% 0.57/0.75 fof(t8_boole,axiom,
% 0.57/0.75 ! [A,B] :
% 0.57/0.75 ~ ( empty(A)
% 0.57/0.75 & A != B
% 0.57/0.75 & empty(B) ) ).
% 0.57/0.75
% 0.57/0.75 fof(t8_xboole_1,lemma,
% 0.57/0.75 ! [A,B,C] :
% 0.57/0.75 ( ( subset(A,B)
% 0.57/0.75 & subset(C,B) )
% 0.57/0.75 => subset(set_union2(A,C),B) ) ).
% 0.57/0.75
% 0.57/0.75 %------------------------------------------------------------------------------
% 0.57/0.75 %-------------------------------------------
% 0.57/0.75 % Proof found
% 0.57/0.75 % SZS status Theorem for theBenchmark
% 0.57/0.75 % SZS output start Proof
% 0.57/0.75 %ClaNum:116(EqnAxiom:34)
% 0.57/0.75 %VarNum:417(SingletonVarNum:163)
% 0.57/0.75 %MaxLitNum:4
% 0.57/0.75 %MaxfuncDepth:2
% 0.57/0.75 %SharedTerms:12
% 0.57/0.75 %goalClause: 37 38 55
% 0.57/0.75 %singleGoalClaCount:3
% 0.57/0.75 [35]P1(a1)
% 0.57/0.75 [36]P1(a2)
% 0.57/0.75 [37]P3(a3,a5)
% 0.57/0.75 [38]P2(a5,a6)
% 0.57/0.75 [54]~P1(a13)
% 0.57/0.75 [55]~P2(a3,a6)
% 0.57/0.75 [40]P3(a1,x401)
% 0.57/0.75 [43]P3(x431,x431)
% 0.57/0.75 [56]~P4(x561,x561)
% 0.57/0.75 [39]E(f12(a1,x391),a1)
% 0.57/0.75 [41]E(f16(x411,a1),x411)
% 0.57/0.75 [42]E(f12(x421,a1),x421)
% 0.57/0.75 [44]E(f16(x441,x441),x441)
% 0.57/0.75 [46]E(f12(x461,f12(x461,a1)),a1)
% 0.57/0.75 [49]E(f12(x491,f12(x491,x491)),x491)
% 0.57/0.75 [45]E(f16(x451,x452),f16(x452,x451))
% 0.57/0.75 [47]P3(x471,f16(x471,x472))
% 0.57/0.75 [48]P3(f12(x481,x482),x481)
% 0.57/0.75 [50]E(f16(x501,f12(x502,x501)),f16(x501,x502))
% 0.57/0.75 [51]E(f12(f16(x511,x512),x512),f12(x511,x512))
% 0.57/0.75 [52]E(f12(x521,f12(x521,x522)),f12(x522,f12(x522,x521)))
% 0.57/0.75 [57]~P1(x571)+E(x571,a1)
% 0.57/0.75 [61]~P3(x611,a1)+E(x611,a1)
% 0.57/0.75 [62]P5(f7(x621),x621)+E(x621,a1)
% 0.57/0.75 [60]~E(x601,x602)+P3(x601,x602)
% 0.57/0.75 [63]~P5(x632,x631)+~E(x631,a1)
% 0.57/0.75 [64]~P4(x641,x642)+~E(x641,x642)
% 0.57/0.75 [65]~P1(x651)+~P5(x652,x651)
% 0.57/0.75 [70]~P4(x701,x702)+P3(x701,x702)
% 0.57/0.75 [71]~P2(x712,x711)+P2(x711,x712)
% 0.57/0.75 [74]~P5(x742,x741)+~P5(x741,x742)
% 0.57/0.75 [75]~P4(x752,x751)+~P4(x751,x752)
% 0.57/0.75 [76]~P3(x762,x761)+~P4(x761,x762)
% 0.57/0.75 [67]~P3(x671,x672)+E(f12(x671,x672),a1)
% 0.57/0.75 [69]P3(x691,x692)+~E(f12(x691,x692),a1)
% 0.57/0.75 [72]~P3(x721,x722)+E(f16(x721,x722),x722)
% 0.57/0.75 [78]P1(x781)+~P1(f16(x782,x781))
% 0.57/0.75 [79]P1(x791)+~P1(f16(x791,x792))
% 0.57/0.75 [80]P3(x801,x802)+P5(f8(x801,x802),x801)
% 0.57/0.75 [81]P2(x811,x812)+P5(f14(x811,x812),x812)
% 0.57/0.75 [82]P2(x821,x822)+P5(f14(x821,x822),x821)
% 0.57/0.75 [96]P3(x961,x962)+~P5(f8(x961,x962),x962)
% 0.57/0.75 [88]~P2(x881,x882)+E(f12(x881,f12(x881,x882)),a1)
% 0.57/0.75 [89]~P3(x891,x892)+E(f16(x891,f12(x892,x891)),x892)
% 0.57/0.75 [90]~P3(x901,x902)+E(f12(x901,f12(x901,x902)),x901)
% 0.57/0.75 [95]P2(x951,x952)+~E(f12(x951,f12(x951,x952)),a1)
% 0.57/0.75 [104]P2(x1041,x1042)+P5(f4(x1041,x1042),f12(x1041,f12(x1041,x1042)))
% 0.57/0.75 [99]~P3(x991,x993)+P3(f12(x991,x992),f12(x993,x992))
% 0.57/0.75 [106]~P2(x1061,x1062)+~P5(x1063,f12(x1061,f12(x1061,x1062)))
% 0.57/0.75 [107]~P3(x1071,x1073)+P3(f12(x1071,f12(x1071,x1072)),f12(x1073,f12(x1073,x1072)))
% 0.57/0.75 [58]~P1(x582)+~P1(x581)+E(x581,x582)
% 0.57/0.75 [73]P4(x731,x732)+~P3(x731,x732)+E(x731,x732)
% 0.57/0.75 [77]~P3(x772,x771)+~P3(x771,x772)+E(x771,x772)
% 0.57/0.75 [97]E(x971,x972)+P5(f15(x971,x972),x972)+P5(f15(x971,x972),x971)
% 0.57/0.75 [103]E(x1031,x1032)+~P5(f15(x1031,x1032),x1032)+~P5(f15(x1031,x1032),x1031)
% 0.57/0.75 [83]~P3(x833,x832)+P5(x831,x832)+~P5(x831,x833)
% 0.57/0.75 [84]~P3(x841,x843)+P3(x841,x842)+~P3(x843,x842)
% 0.57/0.75 [91]~P2(x913,x912)+~P5(x911,x912)+~P5(x911,x913)
% 0.57/0.75 [98]~P3(x982,x983)+~P3(x981,x983)+P3(f16(x981,x982),x983)
% 0.57/0.75 [108]P5(f10(x1082,x1083,x1081),x1081)+P5(f10(x1082,x1083,x1081),x1082)+E(x1081,f12(x1082,x1083))
% 0.57/0.75 [111]P5(f10(x1112,x1113,x1111),x1111)+~P5(f10(x1112,x1113,x1111),x1113)+E(x1111,f12(x1112,x1113))
% 0.57/0.75 [113]~P5(f9(x1132,x1133,x1131),x1131)+~P5(f9(x1132,x1133,x1131),x1133)+E(x1131,f16(x1132,x1133))
% 0.57/0.75 [114]~P5(f9(x1142,x1143,x1141),x1141)+~P5(f9(x1142,x1143,x1141),x1142)+E(x1141,f16(x1142,x1143))
% 0.57/0.75 [105]~P3(x1051,x1053)+~P3(x1051,x1052)+P3(x1051,f12(x1052,f12(x1052,x1053)))
% 0.57/0.75 [109]P5(f11(x1092,x1093,x1091),x1091)+P5(f11(x1092,x1093,x1091),x1093)+E(x1091,f12(x1092,f12(x1092,x1093)))
% 0.57/0.75 [110]P5(f11(x1102,x1103,x1101),x1101)+P5(f11(x1102,x1103,x1101),x1102)+E(x1101,f12(x1102,f12(x1102,x1103)))
% 0.57/0.75 [85]~P5(x851,x854)+P5(x851,x852)+~E(x852,f16(x853,x854))
% 0.57/0.75 [86]~P5(x861,x863)+P5(x861,x862)+~E(x862,f16(x863,x864))
% 0.57/0.75 [87]~P5(x871,x873)+P5(x871,x872)+~E(x873,f12(x872,x874))
% 0.57/0.75 [92]~P5(x924,x923)+~P5(x924,x921)+~E(x921,f12(x922,x923))
% 0.57/0.75 [100]~P5(x1001,x1003)+P5(x1001,x1002)+~E(x1003,f12(x1004,f12(x1004,x1002)))
% 0.57/0.75 [112]P5(f9(x1122,x1123,x1121),x1121)+P5(f9(x1122,x1123,x1121),x1123)+P5(f9(x1122,x1123,x1121),x1122)+E(x1121,f16(x1122,x1123))
% 0.57/0.75 [115]P5(f10(x1152,x1153,x1151),x1153)+~P5(f10(x1152,x1153,x1151),x1151)+~P5(f10(x1152,x1153,x1151),x1152)+E(x1151,f12(x1152,x1153))
% 0.57/0.75 [116]~P5(f11(x1162,x1163,x1161),x1161)+~P5(f11(x1162,x1163,x1161),x1163)+~P5(f11(x1162,x1163,x1161),x1162)+E(x1161,f12(x1162,f12(x1162,x1163)))
% 0.57/0.75 [93]~P5(x931,x934)+P5(x931,x932)+P5(x931,x933)+~E(x932,f12(x934,x933))
% 0.57/0.75 [94]~P5(x941,x944)+P5(x941,x942)+P5(x941,x943)+~E(x944,f16(x943,x942))
% 0.57/0.75 [102]~P5(x1021,x1024)+~P5(x1021,x1023)+P5(x1021,x1022)+~E(x1022,f12(x1023,f12(x1023,x1024)))
% 0.57/0.75 %EqnAxiom
% 0.57/0.75 [1]E(x11,x11)
% 0.57/0.75 [2]E(x22,x21)+~E(x21,x22)
% 0.57/0.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.57/0.75 [4]~E(x41,x42)+E(f12(x41,x43),f12(x42,x43))
% 0.57/0.75 [5]~E(x51,x52)+E(f12(x53,x51),f12(x53,x52))
% 0.57/0.75 [6]~E(x61,x62)+E(f16(x61,x63),f16(x62,x63))
% 0.57/0.75 [7]~E(x71,x72)+E(f16(x73,x71),f16(x73,x72))
% 0.57/0.75 [8]~E(x81,x82)+E(f11(x81,x83,x84),f11(x82,x83,x84))
% 0.57/0.75 [9]~E(x91,x92)+E(f11(x93,x91,x94),f11(x93,x92,x94))
% 0.57/0.75 [10]~E(x101,x102)+E(f11(x103,x104,x101),f11(x103,x104,x102))
% 0.57/0.75 [11]~E(x111,x112)+E(f15(x111,x113),f15(x112,x113))
% 0.57/0.75 [12]~E(x121,x122)+E(f15(x123,x121),f15(x123,x122))
% 0.57/0.75 [13]~E(x131,x132)+E(f8(x131,x133),f8(x132,x133))
% 0.57/0.75 [14]~E(x141,x142)+E(f8(x143,x141),f8(x143,x142))
% 0.57/0.75 [15]~E(x151,x152)+E(f10(x151,x153,x154),f10(x152,x153,x154))
% 0.57/0.75 [16]~E(x161,x162)+E(f10(x163,x161,x164),f10(x163,x162,x164))
% 0.57/0.75 [17]~E(x171,x172)+E(f10(x173,x174,x171),f10(x173,x174,x172))
% 0.57/0.75 [18]~E(x181,x182)+E(f9(x181,x183,x184),f9(x182,x183,x184))
% 0.57/0.75 [19]~E(x191,x192)+E(f9(x193,x191,x194),f9(x193,x192,x194))
% 0.57/0.75 [20]~E(x201,x202)+E(f9(x203,x204,x201),f9(x203,x204,x202))
% 0.57/0.75 [21]~E(x211,x212)+E(f14(x211,x213),f14(x212,x213))
% 0.57/0.75 [22]~E(x221,x222)+E(f14(x223,x221),f14(x223,x222))
% 0.57/0.75 [23]~E(x231,x232)+E(f4(x231,x233),f4(x232,x233))
% 0.57/0.75 [24]~E(x241,x242)+E(f4(x243,x241),f4(x243,x242))
% 0.57/0.75 [25]~E(x251,x252)+E(f7(x251),f7(x252))
% 0.57/0.75 [26]~P1(x261)+P1(x262)+~E(x261,x262)
% 0.57/0.75 [27]P5(x272,x273)+~E(x271,x272)+~P5(x271,x273)
% 0.57/0.75 [28]P5(x283,x282)+~E(x281,x282)+~P5(x283,x281)
% 0.57/0.75 [29]P3(x292,x293)+~E(x291,x292)+~P3(x291,x293)
% 0.57/0.75 [30]P3(x303,x302)+~E(x301,x302)+~P3(x303,x301)
% 0.57/0.75 [31]P2(x312,x313)+~E(x311,x312)+~P2(x311,x313)
% 0.57/0.75 [32]P2(x323,x322)+~E(x321,x322)+~P2(x323,x321)
% 0.57/0.75 [33]P4(x332,x333)+~E(x331,x332)+~P4(x331,x333)
% 0.57/0.75 [34]P4(x343,x342)+~E(x341,x342)+~P4(x343,x341)
% 0.57/0.75
% 0.57/0.75 %-------------------------------------------
% 0.57/0.75 cnf(125,plain,
% 0.57/0.75 (E(f16(x1251,x1251),x1251)),
% 0.57/0.75 inference(rename_variables,[],[44])).
% 0.57/0.75 cnf(139,plain,
% 0.57/0.75 (P3(f16(a1,a1),x1391)),
% 0.57/0.75 inference(scs_inference,[],[43,40,38,55,35,44,125,46,2,71,65,64,63,82,81,69,95,32,31,30,29])).
% 0.57/0.75 cnf(141,plain,
% 0.57/0.75 (E(f16(x1411,x1411),x1411)),
% 0.57/0.75 inference(rename_variables,[],[44])).
% 0.57/0.75 cnf(142,plain,
% 0.57/0.75 (~E(f16(a1,a1),f16(a6,a6))),
% 0.57/0.75 inference(scs_inference,[],[43,40,38,55,35,54,44,125,141,46,2,71,65,64,63,82,81,69,95,32,31,30,29,26,3])).
% 0.57/0.75 cnf(143,plain,
% 0.57/0.75 (E(f16(x1431,x1431),x1431)),
% 0.57/0.75 inference(rename_variables,[],[44])).
% 0.57/0.75 cnf(150,plain,
% 0.57/0.75 (P4(f16(a1,a1),a6)),
% 0.57/0.75 inference(scs_inference,[],[37,43,40,38,55,35,54,44,125,141,47,48,46,2,71,65,64,63,82,81,69,95,32,31,30,29,26,3,84,77,73])).
% 0.57/0.75 cnf(153,plain,
% 0.57/0.75 (E(f16(x1531,a1),x1531)),
% 0.57/0.75 inference(rename_variables,[],[41])).
% 0.57/0.75 cnf(156,plain,
% 0.57/0.75 (E(f16(x1561,x1561),x1561)),
% 0.57/0.75 inference(rename_variables,[],[44])).
% 0.57/0.75 cnf(159,plain,
% 0.57/0.75 (E(f16(x1591,x1591),x1591)),
% 0.57/0.75 inference(rename_variables,[],[44])).
% 0.57/0.75 cnf(201,plain,
% 0.57/0.75 (~P5(x2011,f12(a5,f12(a5,a6)))),
% 0.57/0.75 inference(scs_inference,[],[37,43,40,38,55,35,36,54,44,125,141,143,156,159,47,48,41,153,46,2,71,65,64,63,82,81,69,95,32,31,30,29,26,3,84,77,73,100,87,94,76,75,60,57,79,78,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,99,72,67,106])).
% 0.57/0.75 cnf(209,plain,
% 0.57/0.75 (P3(f12(a3,f12(a3,x2091)),f12(a5,f12(a5,x2091)))),
% 0.57/0.75 inference(scs_inference,[],[37,43,40,38,55,35,36,54,44,125,141,143,156,159,47,48,41,153,46,2,71,65,64,63,82,81,69,95,32,31,30,29,26,3,84,77,73,100,87,94,76,75,60,57,79,78,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,99,72,67,106,90,89,88,107])).
% 0.57/0.75 cnf(211,plain,
% 0.57/0.75 (P5(f4(a3,a6),f12(a3,f12(a3,a6)))),
% 0.57/0.75 inference(scs_inference,[],[37,43,40,38,55,35,36,54,44,125,141,143,156,159,47,48,41,153,46,2,71,65,64,63,82,81,69,95,32,31,30,29,26,3,84,77,73,100,87,94,76,75,60,57,79,78,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,99,72,67,106,90,89,88,107,104])).
% 0.57/0.75 cnf(270,plain,
% 0.57/0.75 (E(f12(x2701,a1),x2701)),
% 0.57/0.75 inference(rename_variables,[],[42])).
% 0.57/0.75 cnf(275,plain,
% 0.57/0.75 ($false),
% 0.57/0.75 inference(scs_inference,[],[37,42,270,43,56,35,41,45,54,38,55,139,201,142,209,211,150,71,65,63,82,67,91,73,98,85,76,75,74,81,34,31,26,3,83]),
% 0.57/0.75 ['proof']).
% 0.57/0.75 % SZS output end Proof
% 0.57/0.75 % Total time :0.100000s
%------------------------------------------------------------------------------