TSTP Solution File: SEU140+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU140+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 : n002.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 0.97s 1.01s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU140+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 14:52:46 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.60 start to proof:theBenchmark
% 0.97/1.00 %-------------------------------------------
% 0.97/1.00 % File :CSE---1.6
% 0.97/1.00 % Problem :theBenchmark
% 0.97/1.00 % Transform :cnf
% 0.97/1.00 % Format :tptp:raw
% 0.97/1.00 % Command :java -jar mcs_scs.jar %d %s
% 0.97/1.00
% 0.97/1.00 % Result :Theorem 0.350000s
% 0.97/1.00 % Output :CNFRefutation 0.350000s
% 0.97/1.00 %-------------------------------------------
% 0.97/1.01 %------------------------------------------------------------------------------
% 0.97/1.01 % File : SEU140+1 : TPTP v8.1.2. Released v3.3.0.
% 0.97/1.01 % Domain : Set theory
% 0.97/1.01 % Problem : MPTP bushy problem t63_xboole_1
% 0.97/1.01 % Version : [Urb07] axioms : Especial.
% 0.97/1.01 % English :
% 0.97/1.01
% 0.97/1.01 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.97/1.01 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.97/1.01 % Source : [Urb07]
% 0.97/1.01 % Names : bushy-t63_xboole_1 [Urb07]
% 0.97/1.01
% 0.97/1.01 % Status : Theorem
% 0.97/1.01 % Rating : 0.11 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.20 v6.1.0, 0.23 v6.0.0, 0.26 v5.5.0, 0.22 v5.4.0, 0.32 v5.3.0, 0.37 v5.2.0, 0.10 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.0, 0.17 v3.7.0, 0.15 v3.5.0, 0.16 v3.3.0
% 0.97/1.01 % Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% 0.97/1.01 % Number of atoms : 29 ( 7 equ)
% 0.97/1.01 % Maximal formula atoms : 3 ( 1 avg)
% 0.97/1.01 % Number of connectives : 16 ( 5 ~; 0 |; 4 &)
% 0.97/1.01 % ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% 0.97/1.01 % Maximal formula depth : 7 ( 3 avg)
% 0.97/1.01 % Maximal term depth : 2 ( 1 avg)
% 0.97/1.01 % Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% 0.97/1.01 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% 0.97/1.01 % Number of variables : 27 ( 25 !; 2 ?)
% 0.97/1.01 % SPC : FOF_THM_RFO_SEQ
% 0.97/1.01
% 0.97/1.01 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.97/1.01 % library, www.mizar.org
% 0.97/1.01 %------------------------------------------------------------------------------
% 0.97/1.01 fof(antisymmetry_r2_hidden,axiom,
% 0.97/1.01 ! [A,B] :
% 0.97/1.01 ( in(A,B)
% 0.97/1.01 => ~ in(B,A) ) ).
% 0.97/1.01
% 0.97/1.01 fof(commutativity_k3_xboole_0,axiom,
% 0.97/1.01 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 0.97/1.01
% 0.97/1.01 fof(d7_xboole_0,axiom,
% 0.97/1.01 ! [A,B] :
% 0.97/1.01 ( disjoint(A,B)
% 0.97/1.01 <=> set_intersection2(A,B) = empty_set ) ).
% 0.97/1.01
% 0.97/1.01 fof(dt_k1_xboole_0,axiom,
% 0.97/1.01 $true ).
% 0.97/1.01
% 0.97/1.01 fof(dt_k3_xboole_0,axiom,
% 0.97/1.01 $true ).
% 0.97/1.01
% 0.97/1.01 fof(fc1_xboole_0,axiom,
% 0.97/1.01 empty(empty_set) ).
% 0.97/1.01
% 0.97/1.01 fof(idempotence_k3_xboole_0,axiom,
% 0.97/1.01 ! [A,B] : set_intersection2(A,A) = A ).
% 0.97/1.01
% 0.97/1.01 fof(rc1_xboole_0,axiom,
% 0.97/1.01 ? [A] : empty(A) ).
% 0.97/1.01
% 0.97/1.01 fof(rc2_xboole_0,axiom,
% 0.97/1.01 ? [A] : ~ empty(A) ).
% 0.97/1.01
% 0.97/1.01 fof(reflexivity_r1_tarski,axiom,
% 0.97/1.01 ! [A,B] : subset(A,A) ).
% 0.97/1.01
% 0.97/1.01 fof(symmetry_r1_xboole_0,axiom,
% 0.97/1.01 ! [A,B] :
% 0.97/1.01 ( disjoint(A,B)
% 0.97/1.01 => disjoint(B,A) ) ).
% 0.97/1.01
% 0.97/1.01 fof(t26_xboole_1,axiom,
% 0.97/1.01 ! [A,B,C] :
% 0.97/1.01 ( subset(A,B)
% 0.97/1.01 => subset(set_intersection2(A,C),set_intersection2(B,C)) ) ).
% 0.97/1.01
% 0.97/1.01 fof(t2_boole,axiom,
% 0.97/1.01 ! [A] : set_intersection2(A,empty_set) = empty_set ).
% 0.97/1.01
% 0.97/1.01 fof(t3_xboole_1,axiom,
% 0.97/1.01 ! [A] :
% 0.97/1.01 ( subset(A,empty_set)
% 0.97/1.01 => A = empty_set ) ).
% 0.97/1.01
% 0.97/1.01 fof(t63_xboole_1,conjecture,
% 0.97/1.01 ! [A,B,C] :
% 0.97/1.01 ( ( subset(A,B)
% 0.97/1.01 & disjoint(B,C) )
% 0.97/1.01 => disjoint(A,C) ) ).
% 0.97/1.01
% 0.97/1.01 fof(t6_boole,axiom,
% 0.97/1.01 ! [A] :
% 0.97/1.01 ( empty(A)
% 0.97/1.01 => A = empty_set ) ).
% 0.97/1.01
% 0.97/1.01 fof(t7_boole,axiom,
% 0.97/1.01 ! [A,B] :
% 0.97/1.01 ~ ( in(A,B)
% 0.97/1.01 & empty(B) ) ).
% 0.97/1.01
% 0.97/1.01 fof(t8_boole,axiom,
% 0.97/1.01 ! [A,B] :
% 0.97/1.01 ~ ( empty(A)
% 0.97/1.01 & A != B
% 0.97/1.01 & empty(B) ) ).
% 0.97/1.01
% 0.97/1.01 %------------------------------------------------------------------------------
% 0.97/1.01 %-------------------------------------------
% 0.97/1.01 % Proof found
% 0.97/1.01 % SZS status Theorem for theBenchmark
% 0.97/1.01 % SZS output start Proof
% 0.97/1.01 %ClaNum:31(EqnAxiom:12)
% 0.97/1.01 %VarNum:43(SingletonVarNum:22)
% 0.97/1.01 %MaxLitNum:3
% 0.97/1.01 %MaxfuncDepth:1
% 0.97/1.01 %SharedTerms:12
% 0.97/1.01 %goalClause: 15 16 22
% 0.97/1.01 %singleGoalClaCount:3
% 0.97/1.01 [13]P1(a1)
% 0.97/1.01 [14]P1(a2)
% 0.97/1.01 [15]P2(a3,a6)
% 0.97/1.01 [16]P3(a4,a3)
% 0.97/1.01 [21]~P1(a5)
% 0.97/1.01 [22]~P2(a4,a6)
% 0.97/1.01 [18]P3(x181,x181)
% 0.97/1.01 [17]E(f7(x171,a1),a1)
% 0.97/1.01 [19]E(f7(x191,x191),x191)
% 0.97/1.01 [20]E(f7(x201,x202),f7(x202,x201))
% 0.97/1.01 [23]~P1(x231)+E(x231,a1)
% 0.97/1.01 [25]~P3(x251,a1)+E(x251,a1)
% 0.97/1.01 [26]~P1(x261)+~P4(x262,x261)
% 0.97/1.01 [29]~P2(x292,x291)+P2(x291,x292)
% 0.97/1.01 [30]~P4(x302,x301)+~P4(x301,x302)
% 0.97/1.01 [27]~P2(x271,x272)+E(f7(x271,x272),a1)
% 0.97/1.01 [28]P2(x281,x282)+~E(f7(x281,x282),a1)
% 0.97/1.01 [31]~P3(x311,x313)+P3(f7(x311,x312),f7(x313,x312))
% 0.97/1.01 [24]~P1(x242)+~P1(x241)+E(x241,x242)
% 0.97/1.01 %EqnAxiom
% 0.97/1.01 [1]E(x11,x11)
% 0.97/1.01 [2]E(x22,x21)+~E(x21,x22)
% 0.97/1.01 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.97/1.01 [4]~E(x41,x42)+E(f7(x41,x43),f7(x42,x43))
% 0.97/1.01 [5]~E(x51,x52)+E(f7(x53,x51),f7(x53,x52))
% 0.97/1.01 [6]~P1(x61)+P1(x62)+~E(x61,x62)
% 0.97/1.01 [7]P3(x72,x73)+~E(x71,x72)+~P3(x71,x73)
% 0.97/1.01 [8]P3(x83,x82)+~E(x81,x82)+~P3(x83,x81)
% 0.97/1.01 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 0.97/1.01 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 0.97/1.01 [11]P4(x112,x113)+~E(x111,x112)+~P4(x111,x113)
% 0.97/1.01 [12]P4(x123,x122)+~E(x121,x122)+~P4(x123,x121)
% 0.97/1.01
% 0.97/1.01 %-------------------------------------------
% 0.97/1.02 cnf(32,plain,
% 0.97/1.02 (E(x321,f7(x321,x321))),
% 0.97/1.02 inference(scs_inference,[],[19,2])).
% 0.97/1.02 cnf(33,plain,
% 0.97/1.02 (~P2(a6,a4)),
% 0.97/1.02 inference(scs_inference,[],[22,19,2,29])).
% 0.97/1.02 cnf(35,plain,
% 0.97/1.02 (~P4(x351,a1)),
% 0.97/1.02 inference(scs_inference,[],[22,13,19,2,29,26])).
% 0.97/1.02 cnf(38,plain,
% 0.97/1.02 (E(f7(x381,x381),x381)),
% 0.97/1.02 inference(rename_variables,[],[19])).
% 0.97/1.02 cnf(40,plain,
% 0.97/1.02 (P2(a1,f7(a1,a1))),
% 0.97/1.02 inference(scs_inference,[],[22,13,19,2,29,26,28,10])).
% 0.97/1.02 cnf(41,plain,
% 0.97/1.02 (~E(a3,a4)),
% 0.97/1.02 inference(scs_inference,[],[15,22,13,19,2,29,26,28,10,9])).
% 0.97/1.02 cnf(42,plain,
% 0.97/1.02 (P3(f7(x421,x421),x421)),
% 0.97/1.02 inference(scs_inference,[],[15,18,22,13,19,38,2,29,26,28,10,9,8])).
% 0.97/1.02 cnf(43,plain,
% 0.97/1.02 (P3(x431,f7(x431,x431))),
% 0.97/1.02 inference(scs_inference,[],[15,18,22,13,19,38,2,29,26,28,10,9,8,7])).
% 0.97/1.02 cnf(44,plain,
% 0.97/1.02 (~P1(f7(a5,a5))),
% 0.97/1.02 inference(scs_inference,[],[15,18,22,13,21,19,38,2,29,26,28,10,9,8,7,6])).
% 0.97/1.02 cnf(45,plain,
% 0.97/1.02 (E(f7(x451,x451),x451)),
% 0.97/1.02 inference(rename_variables,[],[19])).
% 0.97/1.02 cnf(46,plain,
% 0.97/1.02 (~E(a3,f7(a4,a4))),
% 0.97/1.02 inference(scs_inference,[],[15,18,22,13,21,19,38,45,2,29,26,28,10,9,8,7,6,3])).
% 0.97/1.02 cnf(47,plain,
% 0.97/1.02 (E(f7(x471,x471),x471)),
% 0.97/1.02 inference(rename_variables,[],[19])).
% 0.97/1.02 cnf(48,plain,
% 0.97/1.02 (E(a2,a1)),
% 0.97/1.02 inference(scs_inference,[],[15,18,22,13,14,21,19,38,45,2,29,26,28,10,9,8,7,6,3,23])).
% 0.97/1.02 cnf(50,plain,
% 0.97/1.02 (E(f7(x501,f7(x502,x502)),f7(x501,x502))),
% 0.97/1.02 inference(scs_inference,[],[15,18,22,13,14,21,19,38,45,47,2,29,26,28,10,9,8,7,6,3,23,5])).
% 0.97/1.02 cnf(51,plain,
% 0.97/1.02 (E(f7(f7(x511,x511),x512),f7(x511,x512))),
% 0.97/1.02 inference(scs_inference,[],[15,18,22,13,14,21,19,38,45,47,2,29,26,28,10,9,8,7,6,3,23,5,4])).
% 0.97/1.02 cnf(52,plain,
% 0.97/1.02 (P3(f7(a4,x521),f7(a3,x521))),
% 0.97/1.02 inference(scs_inference,[],[15,18,16,22,13,14,21,19,38,45,47,2,29,26,28,10,9,8,7,6,3,23,5,4,31])).
% 0.97/1.02 cnf(54,plain,
% 0.97/1.02 (E(f7(a3,a6),a1)),
% 0.97/1.02 inference(scs_inference,[],[15,18,16,22,13,14,21,19,38,45,47,2,29,26,28,10,9,8,7,6,3,23,5,4,31,27])).
% 0.97/1.02 cnf(58,plain,
% 0.97/1.02 (P2(a6,a3)),
% 0.97/1.02 inference(scs_inference,[],[15,46,2,29])).
% 0.97/1.02 cnf(60,plain,
% 0.97/1.02 (~E(f7(a4,a6),a1)),
% 0.97/1.02 inference(scs_inference,[],[15,22,46,2,29,28])).
% 0.97/1.02 cnf(62,plain,
% 0.97/1.02 (~P2(f7(a4,a4),a6)),
% 0.97/1.02 inference(scs_inference,[],[15,22,19,46,2,29,28,9])).
% 0.97/1.02 cnf(63,plain,
% 0.97/1.02 (E(f7(x631,x631),x631)),
% 0.97/1.02 inference(rename_variables,[],[19])).
% 0.97/1.02 cnf(65,plain,
% 0.97/1.02 (~P4(x651,f7(x652,a1))),
% 0.97/1.02 inference(scs_inference,[],[15,17,13,21,22,19,35,46,2,29,28,9,6,12])).
% 0.97/1.02 cnf(66,plain,
% 0.97/1.02 (~P2(a4,f7(a6,a6))),
% 0.97/1.02 inference(scs_inference,[],[15,17,13,21,22,19,63,35,46,2,29,28,9,6,12,10])).
% 0.97/1.02 cnf(68,plain,
% 0.97/1.02 (~E(f7(a3,a3),f7(a4,a4))),
% 0.97/1.02 inference(scs_inference,[],[15,17,13,21,22,19,63,32,35,46,2,29,28,9,6,12,10,3])).
% 0.97/1.02 cnf(70,plain,
% 0.97/1.02 (~P3(f7(a4,a6),a1)),
% 0.97/1.02 inference(scs_inference,[],[15,17,13,21,22,19,63,32,35,46,2,29,28,9,6,12,10,3,25])).
% 0.97/1.02 cnf(72,plain,
% 0.97/1.02 (~P1(f7(a4,a6))),
% 0.97/1.02 inference(scs_inference,[],[15,17,13,21,22,19,63,32,35,46,2,29,28,9,6,12,10,3,25,23])).
% 0.97/1.02 cnf(74,plain,
% 0.97/1.02 (~P3(f7(a4,a6),f7(x741,a1))),
% 0.97/1.02 inference(scs_inference,[],[15,17,13,21,22,19,63,32,35,46,2,29,28,9,6,12,10,3,25,23,8])).
% 0.97/1.02 cnf(75,plain,
% 0.97/1.02 (P3(a1,f7(x751,a1))),
% 0.97/1.02 inference(scs_inference,[],[15,17,13,21,18,22,19,63,32,35,46,2,29,28,9,6,12,10,3,25,23,8,7])).
% 0.97/1.02 cnf(77,plain,
% 0.97/1.02 (E(a1,f7(x771,a1))),
% 0.97/1.02 inference(scs_inference,[],[17,2])).
% 0.97/1.02 cnf(78,plain,
% 0.97/1.02 (~P2(a6,f7(a4,a4))),
% 0.97/1.02 inference(scs_inference,[],[17,62,2,29])).
% 0.97/1.02 cnf(80,plain,
% 0.97/1.02 (P2(x801,a1)),
% 0.97/1.02 inference(scs_inference,[],[17,62,2,29,28])).
% 0.97/1.02 cnf(82,plain,
% 0.97/1.02 (~E(f7(a4,a6),f7(x821,a1))),
% 0.97/1.02 inference(scs_inference,[],[18,17,74,62,2,29,28,8])).
% 0.97/1.02 cnf(83,plain,
% 0.97/1.02 (P3(x831,x831)),
% 0.97/1.02 inference(rename_variables,[],[18])).
% 0.97/1.02 cnf(85,plain,
% 0.97/1.02 (E(x851,f7(x851,x851))),
% 0.97/1.02 inference(rename_variables,[],[32])).
% 0.97/1.02 cnf(86,plain,
% 0.97/1.02 (P2(f7(a1,a1),f7(a1,a1))),
% 0.97/1.02 inference(scs_inference,[],[32,85,18,17,74,62,40,2,29,28,8,10,9])).
% 0.97/1.02 cnf(87,plain,
% 0.97/1.02 (E(x871,f7(x871,x871))),
% 0.97/1.02 inference(rename_variables,[],[32])).
% 0.97/1.02 cnf(88,plain,
% 0.97/1.02 (~P1(f7(a6,a4))),
% 0.97/1.02 inference(scs_inference,[],[20,32,85,18,17,72,74,62,40,2,29,28,8,10,9,6])).
% 0.97/1.02 cnf(89,plain,
% 0.97/1.02 (~E(f7(x891,a1),f7(a4,a6))),
% 0.97/1.02 inference(scs_inference,[],[20,32,85,18,83,17,72,74,62,40,2,29,28,8,10,9,6,7])).
% 0.97/1.02 cnf(94,plain,
% 0.97/1.02 (~E(a6,a1)),
% 0.97/1.02 inference(scs_inference,[],[20,32,85,87,18,83,17,72,74,62,40,2,29,28,8,10,9,6,7,3,5])).
% 0.97/1.02 cnf(95,plain,
% 0.97/1.02 (~P1(a6)),
% 0.97/1.02 inference(scs_inference,[],[20,32,85,87,18,83,17,72,74,62,40,2,29,28,8,10,9,6,7,3,5,23])).
% 0.97/1.02 cnf(97,plain,
% 0.97/1.02 (E(f7(x971,x972),f7(x971,f7(x972,x972)))),
% 0.97/1.02 inference(scs_inference,[],[32,5])).
% 0.97/1.02 cnf(98,plain,
% 0.97/1.02 (P2(a1,x981)),
% 0.97/1.02 inference(scs_inference,[],[32,80,5,29])).
% 0.97/1.02 cnf(100,plain,
% 0.97/1.02 (~E(f7(a6,a4),a1)),
% 0.97/1.02 inference(scs_inference,[],[32,33,80,5,29,28])).
% 0.97/1.02 cnf(103,plain,
% 0.97/1.02 (P3(a4,f7(a3,a3))),
% 0.97/1.02 inference(scs_inference,[],[16,32,68,33,80,5,29,28,2,8])).
% 0.97/1.02 cnf(104,plain,
% 0.97/1.02 (E(x1041,f7(x1041,x1041))),
% 0.97/1.02 inference(rename_variables,[],[32])).
% 0.97/1.02 cnf(105,plain,
% 0.97/1.02 (P2(f7(f7(a1,a1),f7(a1,a1)),f7(a1,a1))),
% 0.97/1.02 inference(scs_inference,[],[16,32,104,86,68,33,80,5,29,28,2,8,9])).
% 0.97/1.02 cnf(106,plain,
% 0.97/1.02 (E(x1061,f7(x1061,x1061))),
% 0.97/1.02 inference(rename_variables,[],[32])).
% 0.97/1.02 cnf(107,plain,
% 0.97/1.02 (P1(f7(a2,a2))),
% 0.97/1.02 inference(scs_inference,[],[16,14,32,104,106,86,68,33,80,5,29,28,2,8,9,6])).
% 0.97/1.02 cnf(108,plain,
% 0.97/1.02 (E(x1081,f7(x1081,x1081))),
% 0.97/1.02 inference(rename_variables,[],[32])).
% 0.97/1.02 cnf(109,plain,
% 0.97/1.02 (~E(f7(a4,a6),f7(a1,x1091))),
% 0.97/1.02 inference(scs_inference,[],[16,14,32,104,106,20,86,82,68,33,80,5,29,28,2,8,9,6,3])).
% 0.97/1.02 cnf(111,plain,
% 0.97/1.02 (P2(f7(a1,a1),f7(f7(a1,a1),f7(a1,a1)))),
% 0.97/1.02 inference(scs_inference,[],[16,14,32,104,106,108,20,86,82,68,33,80,5,29,28,2,8,9,6,3,10])).
% 0.97/1.02 cnf(112,plain,
% 0.97/1.02 (E(x1121,f7(x1121,x1121))),
% 0.97/1.02 inference(rename_variables,[],[32])).
% 0.97/1.02 cnf(113,plain,
% 0.97/1.02 (P3(f7(a4,a4),a3)),
% 0.97/1.02 inference(scs_inference,[],[16,14,32,104,106,108,112,20,86,82,68,33,80,5,29,28,2,8,9,6,3,10,7])).
% 0.97/1.02 cnf(115,plain,
% 0.97/1.02 (~E(a4,a1)),
% 0.97/1.02 inference(scs_inference,[],[16,14,32,104,106,108,112,20,86,82,68,33,80,5,29,28,2,8,9,6,3,10,7,4])).
% 0.97/1.02 cnf(116,plain,
% 0.97/1.02 (E(f7(a2,a2),a1)),
% 0.97/1.02 inference(scs_inference,[],[16,14,32,104,106,108,112,20,86,82,68,33,80,5,29,28,2,8,9,6,3,10,7,4,23])).
% 0.97/1.02 cnf(120,plain,
% 0.97/1.02 (E(f7(x1201,x1202),f7(f7(x1201,x1201),x1202))),
% 0.97/1.02 inference(scs_inference,[],[13,32,115,24,4])).
% 0.97/1.02 cnf(121,plain,
% 0.97/1.02 (~E(a1,a6)),
% 0.97/1.02 inference(scs_inference,[],[13,32,89,115,24,4,5])).
% 0.97/1.02 cnf(123,plain,
% 0.97/1.02 (~P2(f7(a6,a6),a4)),
% 0.97/1.02 inference(scs_inference,[],[13,32,89,66,115,24,4,5,29])).
% 0.97/1.02 cnf(125,plain,
% 0.97/1.02 (P2(a2,a2)),
% 0.97/1.02 inference(scs_inference,[],[13,32,89,116,66,115,24,4,5,29,28])).
% 0.97/1.02 cnf(127,plain,
% 0.97/1.02 (~P2(f7(a6,a6),f7(a4,a4))),
% 0.97/1.02 inference(scs_inference,[],[13,19,32,89,116,78,66,115,24,4,5,29,28,9])).
% 0.97/1.02 cnf(128,plain,
% 0.97/1.02 (E(f7(x1281,x1281),x1281)),
% 0.97/1.02 inference(rename_variables,[],[19])).
% 0.97/1.02 cnf(130,plain,
% 0.97/1.02 (E(a1,a2)),
% 0.97/1.02 inference(scs_inference,[],[13,14,21,19,32,48,89,116,78,66,115,24,4,5,29,28,9,6,2])).
% 0.97/1.02 cnf(131,plain,
% 0.97/1.02 (~P3(f7(a4,a6),f7(a1,x1311))),
% 0.97/1.02 inference(scs_inference,[],[13,14,21,19,20,32,48,89,116,78,66,115,74,24,4,5,29,28,9,6,2,8])).
% 0.97/1.02 cnf(132,plain,
% 0.97/1.02 (E(f7(x1321,x1322),f7(x1322,x1321))),
% 0.97/1.02 inference(rename_variables,[],[20])).
% 0.97/1.02 cnf(133,plain,
% 0.97/1.02 (~P2(a6,f7(f7(a4,a4),f7(a4,a4)))),
% 0.97/1.02 inference(scs_inference,[],[13,14,21,19,128,20,32,48,89,116,78,66,115,74,24,4,5,29,28,9,6,2,8,10])).
% 0.97/1.02 cnf(134,plain,
% 0.97/1.02 (E(f7(x1341,x1341),x1341)),
% 0.97/1.02 inference(rename_variables,[],[19])).
% 0.97/1.02 cnf(135,plain,
% 0.97/1.02 (~E(f7(a6,a4),f7(a1,x1351))),
% 0.97/1.02 inference(scs_inference,[],[13,14,21,19,128,20,132,32,48,109,89,116,78,66,115,74,24,4,5,29,28,9,6,2,8,10,3])).
% 0.97/1.02 cnf(137,plain,
% 0.97/1.02 (~P3(f7(f7(a4,a6),f7(a4,a6)),a1)),
% 0.97/1.02 inference(scs_inference,[],[13,14,21,19,128,134,20,132,32,48,109,89,116,70,78,66,115,74,24,4,5,29,28,9,6,2,8,10,3,7])).
% 0.97/1.02 cnf(139,plain,
% 0.97/1.02 (P3(f7(f7(x1391,x1391),x1392),f7(x1391,x1392))),
% 0.97/1.02 inference(scs_inference,[],[13,14,21,19,128,134,20,132,32,42,48,109,89,116,70,78,66,115,74,24,4,5,29,28,9,6,2,8,10,3,7,31])).
% 0.97/1.02 cnf(141,plain,
% 0.97/1.02 (E(f7(a1,x1411),a1)),
% 0.97/1.02 inference(scs_inference,[],[13,14,21,19,128,134,20,132,32,42,48,109,89,116,98,70,78,66,115,74,24,4,5,29,28,9,6,2,8,10,3,7,31,27])).
% 0.97/1.02 cnf(145,plain,
% 0.97/1.02 (~P3(a4,a1)),
% 0.97/1.02 inference(scs_inference,[],[131,31])).
% 0.97/1.02 cnf(146,plain,
% 0.97/1.02 (~P3(f7(a4,a6),f7(a1,x1461))),
% 0.97/1.02 inference(rename_variables,[],[131])).
% 0.97/1.02 cnf(148,plain,
% 0.97/1.02 (~E(f7(f7(a6,a6),f7(a4,a4)),a1)),
% 0.97/1.02 inference(scs_inference,[],[127,131,31,28])).
% 0.97/1.02 cnf(150,plain,
% 0.97/1.02 (E(f7(x1501,f7(x1502,a1)),f7(x1501,a1))),
% 0.97/1.02 inference(scs_inference,[],[17,127,131,31,28,5])).
% 0.97/1.02 cnf(152,plain,
% 0.97/1.02 (E(f7(x1521,x1521),x1521)),
% 0.97/1.02 inference(rename_variables,[],[19])).
% 0.97/1.02 cnf(153,plain,
% 0.97/1.02 (P2(f7(f7(a1,a1),a1),f7(a1,a1))),
% 0.97/1.02 inference(scs_inference,[],[19,17,50,105,127,131,44,31,28,5,6,9])).
% 0.97/1.02 cnf(154,plain,
% 0.97/1.02 (E(f7(x1541,f7(x1542,x1542)),f7(x1541,x1542))),
% 0.97/1.02 inference(rename_variables,[],[50])).
% 0.97/1.02 cnf(155,plain,
% 0.97/1.02 (~E(f7(f7(a4,a6),f7(a4,a6)),a1)),
% 0.97/1.02 inference(scs_inference,[],[18,19,17,50,105,127,131,44,137,31,28,5,6,9,8])).
% 0.97/1.02 cnf(156,plain,
% 0.97/1.02 (P3(x1561,x1561)),
% 0.97/1.02 inference(rename_variables,[],[18])).
% 0.97/1.02 cnf(158,plain,
% 0.97/1.02 (E(f7(f7(x1581,x1582),f7(x1581,x1582)),f7(x1582,x1581))),
% 0.97/1.02 inference(scs_inference,[],[18,19,152,20,17,50,105,127,131,135,44,137,31,28,5,6,9,8,2,3])).
% 0.97/1.02 cnf(159,plain,
% 0.97/1.02 (E(f7(x1591,x1591),x1591)),
% 0.97/1.02 inference(rename_variables,[],[19])).
% 0.97/1.02 cnf(160,plain,
% 0.97/1.02 (P2(f7(a1,a1),f7(f7(a1,a1),a1))),
% 0.97/1.02 inference(scs_inference,[],[18,19,152,20,17,50,154,111,105,127,131,135,44,137,31,28,5,6,9,8,2,3,10])).
% 0.97/1.02 cnf(162,plain,
% 0.97/1.02 (~E(f7(a1,x1621),f7(a4,a6))),
% 0.97/1.02 inference(scs_inference,[],[18,156,19,152,20,17,50,154,111,105,127,131,146,135,44,137,31,28,5,6,9,8,2,3,10,7])).
% 0.97/1.02 cnf(164,plain,
% 0.97/1.02 (~P3(f7(a6,a4),a1)),
% 0.97/1.02 inference(scs_inference,[],[18,156,19,152,20,17,50,154,111,105,127,131,146,135,44,137,100,31,28,5,6,9,8,2,3,10,7,25])).
% 0.97/1.02 cnf(166,plain,
% 0.97/1.02 (~P4(x1661,f7(f7(x1662,a1),f7(x1662,a1)))),
% 0.97/1.02 inference(scs_inference,[],[18,156,19,152,159,20,17,50,154,111,105,127,65,131,146,135,44,137,100,31,28,5,6,9,8,2,3,10,7,25,12])).
% 0.97/1.02 cnf(168,plain,
% 0.97/1.02 (~P1(f7(f7(a6,a6),f7(a4,a4)))),
% 0.97/1.02 inference(scs_inference,[],[18,156,19,152,159,20,17,50,154,111,105,127,65,131,146,135,44,137,100,31,28,5,6,9,8,2,3,10,7,25,12,4,23])).
% 0.97/1.02 cnf(170,plain,
% 0.97/1.02 (~P2(f7(a4,a6),f7(a4,a6))),
% 0.97/1.02 inference(scs_inference,[],[155,27])).
% 0.97/1.02 cnf(177,plain,
% 0.97/1.02 (E(f7(f7(x1771,a1),x1772),f7(a1,x1772))),
% 0.97/1.02 inference(scs_inference,[],[17,43,120,166,155,27,31,12,4])).
% 0.97/1.02 cnf(179,plain,
% 0.97/1.02 (E(x1791,f7(x1791,x1791))),
% 0.97/1.02 inference(rename_variables,[],[32])).
% 0.97/1.02 cnf(180,plain,
% 0.97/1.02 (P1(f7(a1,a1))),
% 0.97/1.02 inference(scs_inference,[],[13,32,179,17,43,120,166,155,27,31,12,4,8,6])).
% 0.97/1.02 cnf(181,plain,
% 0.97/1.02 (E(x1811,f7(x1811,x1811))),
% 0.97/1.02 inference(rename_variables,[],[32])).
% 0.97/1.02 cnf(182,plain,
% 0.97/1.02 (P2(f7(a6,a6),a3)),
% 0.97/1.02 inference(scs_inference,[],[13,32,179,181,17,43,120,166,58,155,27,31,12,4,8,6,9])).
% 0.97/1.02 cnf(183,plain,
% 0.97/1.02 (E(x1831,f7(x1831,x1831))),
% 0.97/1.02 inference(rename_variables,[],[32])).
% 0.97/1.02 cnf(184,plain,
% 0.97/1.02 (E(f7(x1841,x1842),f7(f7(x1842,x1841),f7(x1842,x1841)))),
% 0.97/1.02 inference(scs_inference,[],[13,32,179,181,17,43,158,120,166,58,155,27,31,12,4,8,6,9,2])).
% 0.97/1.02 cnf(185,plain,
% 0.97/1.02 (P2(a2,f7(a2,a2))),
% 0.97/1.02 inference(scs_inference,[],[13,32,179,181,183,17,43,158,120,166,58,155,125,27,31,12,4,8,6,9,2,10])).
% 0.97/1.02 cnf(186,plain,
% 0.97/1.02 (E(x1861,f7(x1861,x1861))),
% 0.97/1.02 inference(rename_variables,[],[32])).
% 0.97/1.02 cnf(187,plain,
% 0.97/1.02 (~E(f7(a1,x1871),f7(f7(a6,a4),f7(a6,a4)))),
% 0.97/1.02 inference(scs_inference,[],[13,32,179,181,183,17,43,158,120,166,58,162,155,125,27,31,12,4,8,6,9,2,10,3])).
% 0.97/1.02 cnf(191,plain,
% 0.97/1.02 (P2(a3,f7(a6,a6))),
% 0.97/1.02 inference(scs_inference,[],[13,32,179,181,183,186,17,43,158,120,166,58,162,52,155,125,27,31,12,4,8,6,9,2,10,3,7,29])).
% 0.97/1.02 cnf(193,plain,
% 0.97/1.02 (~E(f7(f7(a6,a6),a4),a1)),
% 0.97/1.02 inference(scs_inference,[],[13,32,179,181,183,186,17,43,158,120,166,58,162,52,123,155,125,27,31,12,4,8,6,9,2,10,3,7,29,28])).
% 0.97/1.02 cnf(195,plain,
% 0.97/1.02 (E(f7(a3,f7(a6,a6)),a1)),
% 0.97/1.02 inference(scs_inference,[],[191,27])).
% 0.97/1.02 cnf(197,plain,
% 0.97/1.02 (~P2(f7(f7(a4,a4),f7(a4,a4)),a6)),
% 0.97/1.02 inference(scs_inference,[],[133,191,27,29])).
% 0.97/1.02 cnf(202,plain,
% 0.97/1.02 (~P2(f7(f7(a4,a6),f7(a4,a6)),f7(a4,a6))),
% 0.97/1.02 inference(scs_inference,[],[21,19,180,170,187,133,191,27,29,4,6,9])).
% 0.97/1.02 cnf(203,plain,
% 0.97/1.02 (E(f7(x2031,x2031),x2031)),
% 0.97/1.02 inference(rename_variables,[],[19])).
% 0.97/1.02 cnf(204,plain,
% 0.97/1.02 (~P3(f7(a6,a4),f7(a1,a1))),
% 0.97/1.02 inference(scs_inference,[],[21,19,203,180,170,187,133,164,191,27,29,4,6,9,8])).
% 0.97/1.02 cnf(205,plain,
% 0.97/1.02 (E(f7(x2051,x2051),x2051)),
% 0.97/1.02 inference(rename_variables,[],[19])).
% 0.97/1.02 cnf(206,plain,
% 0.97/1.02 (~P2(f7(a4,a6),f7(f7(a4,a6),f7(a4,a6)))),
% 0.97/1.02 inference(scs_inference,[],[21,19,203,205,180,170,187,133,164,191,27,29,4,6,9,8,10])).
% 0.97/1.02 cnf(207,plain,
% 0.97/1.02 (E(f7(x2071,x2071),x2071)),
% 0.97/1.02 inference(rename_variables,[],[19])).
% 0.97/1.02 cnf(209,plain,
% 0.97/1.02 (~E(f7(a6,a6),a1)),
% 0.97/1.02 inference(scs_inference,[],[21,19,203,205,32,180,170,60,94,187,133,164,191,27,29,4,6,9,8,10,2,3])).
% 0.97/1.02 cnf(211,plain,
% 0.97/1.02 (~P3(f7(f7(a6,a4),f7(a6,a4)),a1)),
% 0.97/1.02 inference(scs_inference,[],[21,19,203,205,207,32,180,170,60,94,187,133,164,191,27,29,4,6,9,8,10,2,3,7])).
% 0.97/1.02 cnf(213,plain,
% 0.97/1.02 (~P2(a6,a6)),
% 0.97/1.03 inference(scs_inference,[],[209,27])).
% 0.97/1.03 cnf(215,plain,
% 0.97/1.03 (E(f7(x2151,a1),f7(x2151,f7(x2152,a1)))),
% 0.97/1.03 inference(scs_inference,[],[209,77,27,5])).
% 0.97/1.03 cnf(216,plain,
% 0.97/1.03 (P2(f7(a2,a2),a2)),
% 0.97/1.03 inference(scs_inference,[],[209,185,77,27,5,29])).
% 0.97/1.03 cnf(219,plain,
% 0.97/1.03 (~E(f7(f7(a6,a4),f7(a6,a4)),a1)),
% 0.97/1.03 inference(scs_inference,[],[18,211,209,185,77,27,5,29,4,8])).
% 0.97/1.03 cnf(220,plain,
% 0.97/1.03 (P3(x2201,x2201)),
% 0.97/1.03 inference(rename_variables,[],[18])).
% 0.97/1.03 cnf(222,plain,
% 0.97/1.03 (E(f7(x2221,x2222),f7(x2222,x2221))),
% 0.97/1.03 inference(rename_variables,[],[20])).
% 0.97/1.03 cnf(225,plain,
% 0.97/1.03 (E(a1,f7(a1,x2251))),
% 0.97/1.03 inference(scs_inference,[],[18,20,222,160,168,211,209,185,77,141,27,5,29,4,8,6,10,2])).
% 0.97/1.03 cnf(226,plain,
% 0.97/1.03 (E(f7(x2261,a1),f7(a1,a1))),
% 0.97/1.03 inference(scs_inference,[],[18,20,222,32,17,160,168,211,209,185,77,141,27,5,29,4,8,6,10,2,3])).
% 0.97/1.03 cnf(230,plain,
% 0.97/1.03 (~P4(x2301,f7(a2,a2))),
% 0.97/1.03 inference(scs_inference,[],[18,220,20,222,32,17,160,168,211,107,209,185,77,141,27,5,29,4,8,6,10,2,3,7,26])).
% 0.97/1.03 cnf(232,plain,
% 0.97/1.03 (E(f7(f7(a6,a6),a3),a1)),
% 0.97/1.03 inference(scs_inference,[],[182,27])).
% 0.97/1.03 cnf(234,plain,
% 0.97/1.03 (~P2(f7(a4,a4),f7(a6,a6))),
% 0.97/1.03 inference(scs_inference,[],[182,127,27,29])).
% 0.97/1.03 cnf(236,plain,
% 0.97/1.03 (P2(f7(a1,f7(a1,a1)),f7(a1,a1))),
% 0.97/1.03 inference(scs_inference,[],[20,153,182,127,27,29,9])).
% 0.97/1.03 cnf(238,plain,
% 0.97/1.03 (P1(f7(f7(a1,a1),f7(a1,a1)))),
% 0.97/1.03 inference(scs_inference,[],[20,184,153,182,180,127,27,29,9,6])).
% 0.97/1.03 cnf(240,plain,
% 0.97/1.03 (P2(f7(a2,a2),f7(a2,a2))),
% 0.97/1.03 inference(scs_inference,[],[20,32,184,153,182,216,180,127,27,29,9,6,10])).
% 0.97/1.03 cnf(243,plain,
% 0.97/1.03 (P3(f7(f7(x2431,x2431),x2432),f7(x2431,x2432))),
% 0.97/1.03 inference(rename_variables,[],[139])).
% 0.97/1.03 cnf(244,plain,
% 0.97/1.03 (~E(f7(f7(a6,a6),a4),f7(x2441,a1))),
% 0.97/1.03 inference(scs_inference,[],[19,20,32,17,184,139,153,193,182,216,180,127,27,29,9,6,10,8,3])).
% 0.97/1.03 cnf(249,plain,
% 0.97/1.03 (~P3(f7(f7(a6,a6),a4),a1)),
% 0.97/1.03 inference(scs_inference,[],[41,19,20,32,17,184,139,243,153,193,182,216,180,127,27,29,9,6,10,8,3,2,7,25])).
% 0.97/1.03 cnf(251,plain,
% 0.97/1.03 (~P1(f7(f7(a6,a6),a4))),
% 0.97/1.03 inference(scs_inference,[],[41,19,20,32,17,184,139,243,153,193,182,216,180,127,27,29,9,6,10,8,3,2,7,25,23])).
% 0.97/1.03 cnf(253,plain,
% 0.97/1.03 (E(f7(a1,x2531),f7(f7(a1,x2532),x2531))),
% 0.97/1.03 inference(scs_inference,[],[41,19,20,32,17,184,139,243,153,193,182,216,225,180,127,27,29,9,6,10,8,3,2,7,25,23,4])).
% 0.97/1.03 cnf(254,plain,
% 0.97/1.03 (~P2(f7(a6,a4),f7(a6,a4))),
% 0.97/1.03 inference(scs_inference,[],[219,27])).
% 0.97/1.03 cnf(258,plain,
% 0.97/1.03 (~E(a3,f7(f7(a4,a4),f7(a4,a4)))),
% 0.97/1.03 inference(scs_inference,[],[238,219,197,15,27,23,9])).
% 0.97/1.03 cnf(259,plain,
% 0.97/1.03 (~P3(a4,f7(x2591,a1))),
% 0.97/1.03 inference(scs_inference,[],[17,238,145,219,197,15,27,23,9,8])).
% 0.97/1.03 cnf(260,plain,
% 0.97/1.03 (~P2(f7(f7(a4,a6),f7(a4,a6)),f7(a6,a4))),
% 0.97/1.03 inference(scs_inference,[],[17,20,238,202,145,219,197,15,27,23,9,8,10])).
% 0.97/1.03 cnf(261,plain,
% 0.97/1.03 (E(f7(x2611,x2612),f7(x2612,x2611))),
% 0.97/1.03 inference(rename_variables,[],[20])).
% 0.97/1.03 cnf(265,plain,
% 0.97/1.03 (E(f7(a1,a1),f7(x2651,a1))),
% 0.97/1.03 inference(scs_inference,[],[17,41,21,20,32,238,202,145,226,219,197,15,27,23,9,8,10,6,3,2])).
% 0.97/1.03 cnf(270,plain,
% 0.97/1.03 (~P4(x2701,f7(a1,x2702))),
% 0.97/1.03 inference(scs_inference,[],[17,41,21,20,261,19,32,238,204,202,145,226,219,197,113,65,15,27,23,9,8,10,6,3,2,7,31,12])).
% 0.97/1.03 cnf(271,plain,
% 0.97/1.03 (~E(f7(f7(a4,a4),f7(a6,a6)),a1)),
% 0.97/1.03 inference(scs_inference,[],[17,41,21,20,261,19,32,238,204,202,145,234,226,219,197,113,65,15,27,23,9,8,10,6,3,2,7,31,12,28])).
% 0.97/1.03 cnf(273,plain,
% 0.97/1.03 (E(f7(f7(a2,a2),f7(a2,a2)),a1)),
% 0.97/1.03 inference(scs_inference,[],[240,27])).
% 0.97/1.03 cnf(280,plain,
% 0.97/1.03 (E(f7(x2801,x2802),f7(x2802,x2801))),
% 0.97/1.03 inference(rename_variables,[],[20])).
% 0.97/1.03 cnf(283,plain,
% 0.97/1.03 (~E(a4,f7(x2831,a1))),
% 0.97/1.03 inference(scs_inference,[],[18,20,280,51,206,240,230,251,259,219,27,23,12,9,6,8])).
% 0.97/1.03 cnf(287,plain,
% 0.97/1.03 (P2(f7(a1,f7(a1,a1)),f7(x2871,a1))),
% 0.97/1.03 inference(scs_inference,[],[17,18,20,280,19,51,206,236,240,230,265,251,259,219,27,23,12,9,6,8,3,10])).
% 0.97/1.03 cnf(291,plain,
% 0.97/1.03 (P2(f7(x2911,a1),f7(x2911,a1))),
% 0.97/1.03 inference(scs_inference,[],[17,42,18,20,280,19,51,206,236,240,230,265,251,244,259,219,27,23,12,9,6,8,3,10,2,7,28])).
% 0.97/1.03 cnf(299,plain,
% 0.97/1.03 (P2(f7(f7(a1,a1),a1),f7(x2991,a1))),
% 0.97/1.03 inference(scs_inference,[],[20,287,62,28,9])).
% 0.97/1.03 cnf(300,plain,
% 0.97/1.03 (E(f7(x3001,x3002),f7(x3002,x3001))),
% 0.97/1.03 inference(rename_variables,[],[20])).
% 0.97/1.03 cnf(301,plain,
% 0.97/1.03 (P3(f7(x3011,x3012),f7(x3012,x3011))),
% 0.97/1.03 inference(scs_inference,[],[18,20,300,287,62,28,9,8])).
% 0.97/1.03 cnf(305,plain,
% 0.97/1.03 (P1(f7(f7(a2,a2),f7(a2,a2)))),
% 0.97/1.03 inference(scs_inference,[],[18,20,300,32,97,287,258,62,107,28,9,8,3,6])).
% 0.97/1.03 cnf(307,plain,
% 0.97/1.03 (P2(f7(a1,f7(a1,a1)),f7(a1,x3071))),
% 0.97/1.03 inference(scs_inference,[],[18,20,300,32,97,287,258,62,107,28,9,8,3,6,10])).
% 0.97/1.03 cnf(309,plain,
% 0.97/1.03 (E(f7(x3091,x3092),f7(x3092,x3091))),
% 0.97/1.03 inference(rename_variables,[],[20])).
% 0.97/1.03 cnf(315,plain,
% 0.97/1.03 (E(f7(x3151,f7(a3,a6)),f7(x3151,a1))),
% 0.97/1.03 inference(scs_inference,[],[18,43,20,300,309,32,97,287,253,258,54,62,107,28,9,8,3,6,10,2,7,26,5])).
% 0.97/1.03 cnf(319,plain,
% 0.97/1.03 (P3(x3191,x3191)),
% 0.97/1.03 inference(rename_variables,[],[18])).
% 0.97/1.03 cnf(328,plain,
% 0.97/1.03 (~P3(f7(f7(a4,a4),f7(a6,a6)),a1)),
% 0.97/1.03 inference(scs_inference,[],[18,319,21,19,20,32,121,305,254,273,271,307,130,9,8,10,6,3,2,7,25])).
% 0.97/1.03 cnf(330,plain,
% 0.97/1.03 (~P2(f7(f7(a6,a4),f7(a6,a4)),f7(a6,a4))),
% 0.97/1.03 inference(scs_inference,[],[18,319,21,19,20,32,121,305,254,273,271,307,130,9,8,10,6,3,2,7,25,29])).
% 0.97/1.03 cnf(333,plain,
% 0.97/1.03 (P2(f7(x3331,a1),f7(f7(a1,a1),a1))),
% 0.97/1.03 inference(scs_inference,[],[299,29])).
% 0.97/1.03 cnf(335,plain,
% 0.97/1.03 (~P2(f7(a6,a6),a6)),
% 0.97/1.03 inference(scs_inference,[],[19,213,299,29,9])).
% 0.97/1.03 cnf(336,plain,
% 0.97/1.03 (E(f7(x3361,x3361),x3361)),
% 0.97/1.03 inference(rename_variables,[],[19])).
% 0.97/1.03 cnf(337,plain,
% 0.97/1.03 (~E(f7(a4,a4),a1)),
% 0.97/1.03 inference(scs_inference,[],[19,43,213,299,145,29,9,8])).
% 0.97/1.03 cnf(340,plain,
% 0.97/1.03 (E(f7(x3401,x3401),x3401)),
% 0.97/1.03 inference(rename_variables,[],[19])).
% 0.97/1.03 cnf(341,plain,
% 0.97/1.03 (P2(x3411,f7(a1,x3412))),
% 0.97/1.03 inference(scs_inference,[],[19,336,43,213,299,95,145,80,225,29,9,8,6,10])).
% 0.97/1.03 cnf(342,plain,
% 0.97/1.03 (E(f7(f7(x3421,a1),a1),f7(x3421,a1))),
% 0.97/1.03 inference(scs_inference,[],[19,336,340,43,213,299,215,95,145,80,225,29,9,8,6,10,3])).
% 0.97/1.03 cnf(345,plain,
% 0.97/1.03 (E(f7(x3451,a1),f7(x3451,f7(a3,a6)))),
% 0.97/1.03 inference(scs_inference,[],[19,336,340,43,213,299,315,215,95,145,80,225,29,9,8,6,10,3,2])).
% 0.97/1.03 cnf(346,plain,
% 0.97/1.03 (~E(f7(a1,a1),f7(f7(a4,a4),f7(a6,a6)))),
% 0.97/1.03 inference(scs_inference,[],[19,336,340,42,43,213,299,315,215,328,95,145,80,225,29,9,8,6,10,3,2,7])).
% 0.97/1.03 cnf(350,plain,
% 0.97/1.03 (E(f7(a6,a3),a1)),
% 0.97/1.03 inference(scs_inference,[],[19,336,340,42,43,213,299,315,215,328,75,95,145,58,80,225,29,9,8,6,10,3,2,7,31,27])).
% 0.97/1.03 cnf(352,plain,
% 0.97/1.03 (~P2(a4,a4)),
% 0.97/1.03 inference(scs_inference,[],[337,27])).
% 0.97/1.03 cnf(354,plain,
% 0.97/1.03 (~P2(a6,f7(a6,a6))),
% 0.97/1.03 inference(scs_inference,[],[335,337,27,29])).
% 0.97/1.03 cnf(360,plain,
% 0.97/1.03 (~E(f7(f7(a4,a4),f7(a6,a6)),f7(a1,a1))),
% 0.97/1.03 inference(scs_inference,[],[20,346,333,150,335,337,283,27,29,9,3,2])).
% 0.97/1.03 cnf(363,plain,
% 0.97/1.03 (P1(f7(a1,f7(a3,a6)))),
% 0.97/1.03 inference(scs_inference,[],[19,42,20,346,333,345,150,335,337,283,180,27,29,9,3,2,8,6])).
% 0.97/1.03 cnf(376,plain,
% 0.97/1.03 (E(f7(f7(x3761,a1),x3762),f7(a1,x3762))),
% 0.97/1.03 inference(rename_variables,[],[177])).
% 0.97/1.03 cnf(377,plain,
% 0.97/1.03 (~E(f7(a6,f7(a6,a6)),a1)),
% 0.97/1.03 inference(scs_inference,[],[177,354,216,270,27,12,28])).
% 0.97/1.03 cnf(379,plain,
% 0.97/1.03 (P2(f7(a1,x3791),x3792)),
% 0.97/1.03 inference(scs_inference,[],[177,354,216,270,341,27,12,28,29])).
% 0.97/1.03 cnf(384,plain,
% 0.97/1.03 (~E(f7(f7(a6,a6),f7(a4,a4)),f7(a1,a1))),
% 0.97/1.03 inference(scs_inference,[],[20,44,360,177,363,350,354,249,191,216,270,341,27,12,28,29,9,8,6,3])).
% 0.97/1.03 cnf(385,plain,
% 0.97/1.03 (E(f7(x3851,x3852),f7(x3852,x3851))),
% 0.97/1.03 inference(rename_variables,[],[20])).
% 0.97/1.03 cnf(387,plain,
% 0.97/1.03 (~P2(f7(f7(a6,a4),f7(a6,a4)),f7(a4,a6))),
% 0.97/1.03 inference(scs_inference,[],[20,385,44,330,360,177,363,342,350,354,249,191,216,270,341,27,12,28,29,9,8,6,3,2,10])).
% 0.97/1.03 cnf(392,plain,
% 0.97/1.03 (E(f7(x3921,f7(a6,a3)),f7(x3921,a1))),
% 0.97/1.03 inference(scs_inference,[],[20,385,44,42,330,360,177,376,363,342,350,354,249,191,216,270,341,27,12,28,29,9,8,6,3,2,10,7,5])).
% 0.97/1.03 cnf(397,plain,
% 0.97/1.03 (~P2(f7(a4,a4),a4)),
% 0.97/1.03 inference(scs_inference,[],[43,387,352,204,19,29,8,9])).
% 0.97/1.03 cnf(400,plain,
% 0.97/1.03 (E(f7(x4001,f7(a6,a3)),f7(a1,x4001))),
% 0.97/1.03 inference(scs_inference,[],[20,43,387,384,392,352,204,19,29,8,9,2,3])).
% 0.97/1.03 cnf(403,plain,
% 0.97/1.03 (~E(f7(a1,a1),f7(f7(a4,a6),f7(a4,a6)))),
% 0.97/1.03 inference(scs_inference,[],[20,43,42,387,384,392,352,204,137,19,29,8,9,2,3,7])).
% 0.97/1.03 cnf(405,plain,
% 0.97/1.03 (~P3(f7(f7(a6,a6),f7(a4,a4)),a1)),
% 0.97/1.03 inference(scs_inference,[],[20,43,42,387,384,392,148,352,204,137,19,29,8,9,2,3,7,25])).
% 0.97/1.03 cnf(410,plain,
% 0.97/1.03 (P3(f7(a2,a2),a1)),
% 0.97/1.03 inference(scs_inference,[],[48,42,88,50,6,8])).
% 0.97/1.03 cnf(414,plain,
% 0.97/1.03 (E(f7(a1,x4141),f7(x4141,f7(a6,a3)))),
% 0.97/1.03 inference(scs_inference,[],[48,42,32,379,400,88,50,6,8,9,2])).
% 0.97/1.03 cnf(415,plain,
% 0.97/1.03 (~E(f7(a6,f7(a6,a6)),a2)),
% 0.97/1.03 inference(scs_inference,[],[48,42,32,379,400,88,377,50,6,8,9,2,3])).
% 0.97/1.03 cnf(422,plain,
% 0.97/1.03 (P2(x4221,f7(f7(a1,x4222),f7(a1,x4222)))),
% 0.97/1.03 inference(scs_inference,[],[48,43,42,32,403,379,400,88,103,377,50,180,6,8,9,2,3,7,24,31,29])).
% 0.97/1.03 cnf(426,plain,
% 0.97/1.03 (~P2(a4,f7(a4,a4))),
% 0.97/1.03 inference(scs_inference,[],[397,415,14,24,29])).
% 0.97/1.03 cnf(428,plain,
% 0.97/1.03 (P1(f7(f7(a3,a6),f7(a6,a3)))),
% 0.97/1.03 inference(scs_inference,[],[414,397,415,363,14,24,29,6])).
% 0.97/1.03 cnf(430,plain,
% 0.97/1.03 (~P3(f7(f7(a6,a6),f7(a4,a4)),a2)),
% 0.97/1.03 inference(scs_inference,[],[48,414,397,405,415,363,14,24,29,6,8])).
% 0.97/1.03 cnf(444,plain,
% 0.97/1.03 (P2(f7(a3,a6),f7(a6,a3))),
% 0.97/1.03 inference(scs_inference,[],[428,23,28])).
% 0.97/1.03 cnf(448,plain,
% 0.97/1.03 (P2(x4481,f7(f7(a1,a1),a1))),
% 0.97/1.03 inference(scs_inference,[],[50,422,428,23,28,29,10])).
% 0.97/1.03 cnf(451,plain,
% 0.97/1.03 (~E(f7(f7(a3,a6),f7(a6,a3)),f7(a5,a5))),
% 0.97/1.03 inference(scs_inference,[],[50,44,422,428,23,28,29,10,6])).
% 0.97/1.03 cnf(455,plain,
% 0.97/1.03 (~E(f7(a2,a2),f7(f7(a6,a6),f7(a4,a4)))),
% 0.97/1.03 inference(scs_inference,[],[50,44,42,43,422,428,232,430,131,23,28,29,10,6,2,8,7])).
% 0.97/1.03 cnf(457,plain,
% 0.97/1.03 (~P2(f7(a4,a6),f7(a6,a4))),
% 0.97/1.03 inference(scs_inference,[],[32,50,44,42,43,260,422,428,232,430,131,23,28,29,10,6,2,8,7,9])).
% 0.97/1.03 cnf(458,plain,
% 0.97/1.03 (E(x4581,f7(x4581,x4581))),
% 0.97/1.03 inference(rename_variables,[],[32])).
% 0.97/1.03 cnf(459,plain,
% 0.97/1.03 (E(a2,f7(a1,a1))),
% 0.97/1.03 inference(scs_inference,[],[32,458,50,44,48,42,43,260,422,428,232,430,131,23,28,29,10,6,2,8,7,9,3])).
% 0.97/1.03 cnf(464,plain,
% 0.97/1.03 (~P4(x4641,f7(f7(a6,a6),a3))),
% 0.97/1.03 inference(scs_inference,[],[32,458,35,50,44,48,42,43,260,422,428,232,430,185,131,23,28,29,10,6,2,8,7,9,3,27,5,12])).
% 0.97/1.03 cnf(467,plain,
% 0.97/1.03 (~P2(f7(a6,a4),f7(a4,a6))),
% 0.97/1.03 inference(scs_inference,[],[457,28,29])).
% 0.97/1.03 cnf(473,plain,
% 0.97/1.03 (E(x4731,f7(x4731,x4731))),
% 0.97/1.03 inference(rename_variables,[],[32])).
% 0.97/1.03 cnf(477,plain,
% 0.97/1.03 (E(f7(x4771,f7(x4772,x4772)),f7(x4771,x4772))),
% 0.97/1.03 inference(rename_variables,[],[50])).
% 0.97/1.03 cnf(478,plain,
% 0.97/1.03 (~P3(a6,a1)),
% 0.97/1.03 inference(scs_inference,[],[32,473,46,50,33,301,448,457,455,410,94,28,29,10,2,8,7,3,25])).
% 0.97/1.03 cnf(481,plain,
% 0.97/1.03 (E(f7(a2,x4811),f7(f7(a1,a1),x4811))),
% 0.97/1.03 inference(scs_inference,[],[32,473,46,50,477,33,301,448,457,455,464,459,410,94,28,29,10,2,8,7,3,25,12,4])).
% 0.97/1.03 cnf(486,plain,
% 0.97/1.03 (P2(f7(f7(a1,a1),a1),x4861)),
% 0.97/1.03 inference(scs_inference,[],[448,29])).
% 0.97/1.03 cnf(488,plain,
% 0.97/1.03 (~P2(f7(a6,a4),f7(f7(a4,a4),a6))),
% 0.97/1.03 inference(scs_inference,[],[51,467,448,29,10])).
% 0.97/1.03 cnf(489,plain,
% 0.97/1.03 (E(f7(f7(x4891,x4891),x4892),f7(x4891,x4892))),
% 0.97/1.03 inference(rename_variables,[],[51])).
% 0.97/1.03 cnf(490,plain,
% 0.97/1.03 (P1(f7(a2,f7(a2,a2)))),
% 0.97/1.03 inference(scs_inference,[],[51,489,467,448,305,29,10,6])).
% 0.97/1.03 cnf(491,plain,
% 0.97/1.03 (E(f7(f7(x4911,x4911),x4912),f7(x4911,x4912))),
% 0.97/1.03 inference(rename_variables,[],[51])).
% 0.97/1.03 cnf(496,plain,
% 0.97/1.03 (~P3(a6,a2)),
% 0.97/1.03 inference(scs_inference,[],[51,489,491,48,467,481,291,478,448,305,29,10,6,9,2,8])).
% 0.97/1.03 cnf(505,plain,
% 0.97/1.03 (~P2(f7(f7(a4,a4),a6),f7(a6,a4))),
% 0.97/1.03 inference(scs_inference,[],[488,29])).
% 0.97/1.03 cnf(517,plain,
% 0.97/1.03 (P2(f7(a3,a6),f7(f7(a3,a6),f7(a3,a6)))),
% 0.97/1.03 inference(scs_inference,[],[33,51,44,50,43,42,486,451,444,488,490,496,184,29,6,9,8,7,2,3,10])).
% 0.97/1.03 cnf(525,plain,
% 0.97/1.03 (~P2(a4,f7(f7(a4,a4),a4))),
% 0.97/1.03 inference(scs_inference,[],[51,517,426,29,10])).
% 0.97/1.03 cnf(543,plain,
% 0.97/1.03 (~P2(f7(f7(a4,a4),a4),a4)),
% 0.97/1.03 inference(scs_inference,[],[35,195,525,12,29])).
% 0.97/1.03 cnf(583,plain,
% 0.97/1.03 (E(f7(x5831,f7(x5832,x5832)),f7(x5831,x5832))),
% 0.97/1.03 inference(rename_variables,[],[50])).
% 0.97/1.03 cnf(586,plain,
% 0.97/1.03 ($false),
% 0.97/1.03 inference(scs_inference,[],[52,54,44,50,583,505,543,70,19,10,6,9,8]),
% 0.97/1.03 ['proof']).
% 0.97/1.03 % SZS output end Proof
% 0.97/1.03 % Total time :0.350000s
%------------------------------------------------------------------------------