TSTP Solution File: SEU130+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU130+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 : n021.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 16:17:39 EDT 2023
% Result : Theorem 0.76s 0.85s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU130+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Aug 23 20:29:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 0.18/0.84 %-------------------------------------------
% 0.18/0.84 % File :CSE---1.6
% 0.18/0.84 % Problem :theBenchmark
% 0.18/0.84 % Transform :cnf
% 0.18/0.84 % Format :tptp:raw
% 0.18/0.84 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.84
% 0.18/0.84 % Result :Theorem 0.220000s
% 0.18/0.84 % Output :CNFRefutation 0.220000s
% 0.18/0.84 %-------------------------------------------
% 0.76/0.84 %------------------------------------------------------------------------------
% 0.76/0.84 % File : SEU130+1 : TPTP v8.1.2. Released v3.3.0.
% 0.76/0.84 % Domain : Set theory
% 0.76/0.84 % Problem : MPTP bushy problem t28_xboole_1
% 0.76/0.84 % Version : [Urb07] axioms : Especial.
% 0.76/0.84 % English :
% 0.76/0.84
% 0.76/0.84 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.76/0.84 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.76/0.84 % Source : [Urb07]
% 0.76/0.84 % Names : bushy-t28_xboole_1 [Urb07]
% 0.76/0.84
% 0.76/0.84 % Status : Theorem
% 0.76/0.84 % Rating : 0.11 v8.1.0, 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.17 v5.5.0, 0.15 v5.4.0, 0.18 v5.3.0, 0.22 v5.2.0, 0.00 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.1, 0.17 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.21 v3.3.0
% 0.76/0.84 % Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% 0.76/0.84 % Number of atoms : 31 ( 8 equ)
% 0.76/0.84 % Maximal formula atoms : 4 ( 1 avg)
% 0.76/0.84 % Number of connectives : 18 ( 5 ~; 0 |; 5 &)
% 0.76/0.84 % ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% 0.76/0.85 % Maximal formula depth : 8 ( 4 avg)
% 0.76/0.85 % Maximal term depth : 2 ( 1 avg)
% 0.76/0.85 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% 0.76/0.85 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% 0.76/0.85 % Number of variables : 29 ( 27 !; 2 ?)
% 0.76/0.85 % SPC : FOF_THM_RFO_SEQ
% 0.76/0.85
% 0.76/0.85 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.76/0.85 % library, www.mizar.org
% 0.76/0.85 %------------------------------------------------------------------------------
% 0.76/0.85 fof(antisymmetry_r2_hidden,axiom,
% 0.76/0.85 ! [A,B] :
% 0.76/0.85 ( in(A,B)
% 0.76/0.85 => ~ in(B,A) ) ).
% 0.76/0.85
% 0.76/0.85 fof(commutativity_k3_xboole_0,axiom,
% 0.76/0.85 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 0.76/0.85
% 0.76/0.85 fof(d10_xboole_0,axiom,
% 0.76/0.85 ! [A,B] :
% 0.76/0.85 ( A = B
% 0.76/0.85 <=> ( subset(A,B)
% 0.76/0.85 & subset(B,A) ) ) ).
% 0.76/0.85
% 0.76/0.85 fof(d3_tarski,axiom,
% 0.76/0.85 ! [A,B] :
% 0.76/0.85 ( subset(A,B)
% 0.76/0.85 <=> ! [C] :
% 0.76/0.85 ( in(C,A)
% 0.76/0.85 => in(C,B) ) ) ).
% 0.76/0.85
% 0.76/0.85 fof(d3_xboole_0,axiom,
% 0.76/0.85 ! [A,B,C] :
% 0.76/0.85 ( C = set_intersection2(A,B)
% 0.76/0.85 <=> ! [D] :
% 0.76/0.85 ( in(D,C)
% 0.76/0.85 <=> ( in(D,A)
% 0.76/0.85 & in(D,B) ) ) ) ).
% 0.76/0.85
% 0.76/0.85 fof(dt_k1_xboole_0,axiom,
% 0.76/0.85 $true ).
% 0.76/0.85
% 0.76/0.85 fof(dt_k3_xboole_0,axiom,
% 0.76/0.85 $true ).
% 0.76/0.85
% 0.76/0.85 fof(fc1_xboole_0,axiom,
% 0.76/0.85 empty(empty_set) ).
% 0.76/0.85
% 0.76/0.85 fof(idempotence_k3_xboole_0,axiom,
% 0.76/0.85 ! [A,B] : set_intersection2(A,A) = A ).
% 0.76/0.85
% 0.76/0.85 fof(rc1_xboole_0,axiom,
% 0.76/0.85 ? [A] : empty(A) ).
% 0.76/0.85
% 0.76/0.85 fof(rc2_xboole_0,axiom,
% 0.76/0.85 ? [A] : ~ empty(A) ).
% 0.76/0.85
% 0.76/0.85 fof(reflexivity_r1_tarski,axiom,
% 0.76/0.85 ! [A,B] : subset(A,A) ).
% 0.76/0.85
% 0.76/0.85 fof(t17_xboole_1,axiom,
% 0.76/0.85 ! [A,B] : subset(set_intersection2(A,B),A) ).
% 0.76/0.85
% 0.76/0.85 fof(t28_xboole_1,conjecture,
% 0.76/0.85 ! [A,B] :
% 0.76/0.85 ( subset(A,B)
% 0.76/0.85 => set_intersection2(A,B) = A ) ).
% 0.76/0.85
% 0.76/0.85 fof(t2_boole,axiom,
% 0.76/0.85 ! [A] : set_intersection2(A,empty_set) = empty_set ).
% 0.76/0.85
% 0.76/0.85 fof(t6_boole,axiom,
% 0.76/0.85 ! [A] :
% 0.76/0.85 ( empty(A)
% 0.76/0.85 => A = empty_set ) ).
% 0.76/0.85
% 0.76/0.85 fof(t7_boole,axiom,
% 0.76/0.85 ! [A,B] :
% 0.76/0.85 ~ ( in(A,B)
% 0.76/0.85 & empty(B) ) ).
% 0.76/0.85
% 0.76/0.85 fof(t8_boole,axiom,
% 0.76/0.85 ! [A,B] :
% 0.76/0.85 ~ ( empty(A)
% 0.76/0.85 & A != B
% 0.76/0.85 & empty(B) ) ).
% 0.76/0.85
% 0.76/0.85 %------------------------------------------------------------------------------
% 0.76/0.85 %-------------------------------------------
% 0.76/0.85 % Proof found
% 0.76/0.85 % SZS status Theorem for theBenchmark
% 0.76/0.85 % SZS output start Proof
% 0.76/0.86 %ClaNum:41(EqnAxiom:15)
% 0.76/0.86 %VarNum:112(SingletonVarNum:46)
% 0.76/0.86 %MaxLitNum:4
% 0.76/0.86 %MaxfuncDepth:1
% 0.76/0.86 %SharedTerms:11
% 0.76/0.86 %goalClause: 18 25
% 0.76/0.86 %singleGoalClaCount:2
% 0.76/0.86 [16]P1(a1)
% 0.76/0.86 [17]P1(a2)
% 0.76/0.86 [18]P2(a5,a7)
% 0.76/0.86 [24]~P1(a6)
% 0.76/0.86 [25]~E(f8(a5,a7),a5)
% 0.76/0.86 [20]P2(x201,x201)
% 0.76/0.86 [19]E(f8(x191,a1),a1)
% 0.76/0.86 [21]E(f8(x211,x211),x211)
% 0.76/0.86 [22]E(f8(x221,x222),f8(x222,x221))
% 0.76/0.86 [23]P2(f8(x231,x232),x231)
% 0.76/0.86 [26]~P1(x261)+E(x261,a1)
% 0.76/0.86 [29]~E(x291,x292)+P2(x291,x292)
% 0.76/0.86 [30]~P1(x301)+~P3(x302,x301)
% 0.76/0.86 [31]~P3(x312,x311)+~P3(x311,x312)
% 0.76/0.86 [33]P2(x331,x332)+P3(f3(x331,x332),x331)
% 0.76/0.86 [37]P2(x371,x372)+~P3(f3(x371,x372),x372)
% 0.76/0.86 [27]~P1(x272)+~P1(x271)+E(x271,x272)
% 0.76/0.86 [32]~P2(x322,x321)+~P2(x321,x322)+E(x321,x322)
% 0.76/0.86 [34]~P2(x343,x342)+P3(x341,x342)+~P3(x341,x343)
% 0.76/0.86 [39]P3(f4(x392,x393,x391),x391)+P3(f4(x392,x393,x391),x393)+E(x391,f8(x392,x393))
% 0.76/0.86 [40]P3(f4(x402,x403,x401),x401)+P3(f4(x402,x403,x401),x402)+E(x401,f8(x402,x403))
% 0.76/0.86 [35]~P3(x351,x353)+P3(x351,x352)+~E(x353,f8(x354,x352))
% 0.76/0.86 [36]~P3(x361,x363)+P3(x361,x362)+~E(x363,f8(x362,x364))
% 0.76/0.86 [41]~P3(f4(x412,x413,x411),x411)+~P3(f4(x412,x413,x411),x413)+~P3(f4(x412,x413,x411),x412)+E(x411,f8(x412,x413))
% 0.76/0.86 [38]~P3(x381,x384)+~P3(x381,x383)+P3(x381,x382)+~E(x382,f8(x383,x384))
% 0.76/0.86 %EqnAxiom
% 0.76/0.86 [1]E(x11,x11)
% 0.76/0.86 [2]E(x22,x21)+~E(x21,x22)
% 0.76/0.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.76/0.86 [4]~E(x41,x42)+E(f8(x41,x43),f8(x42,x43))
% 0.76/0.86 [5]~E(x51,x52)+E(f8(x53,x51),f8(x53,x52))
% 0.76/0.86 [6]~E(x61,x62)+E(f4(x61,x63,x64),f4(x62,x63,x64))
% 0.76/0.86 [7]~E(x71,x72)+E(f4(x73,x71,x74),f4(x73,x72,x74))
% 0.76/0.86 [8]~E(x81,x82)+E(f4(x83,x84,x81),f4(x83,x84,x82))
% 0.76/0.86 [9]~E(x91,x92)+E(f3(x91,x93),f3(x92,x93))
% 0.76/0.86 [10]~E(x101,x102)+E(f3(x103,x101),f3(x103,x102))
% 0.76/0.86 [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 0.76/0.86 [12]P3(x122,x123)+~E(x121,x122)+~P3(x121,x123)
% 0.76/0.86 [13]P3(x133,x132)+~E(x131,x132)+~P3(x133,x131)
% 0.76/0.86 [14]P2(x142,x143)+~E(x141,x142)+~P2(x141,x143)
% 0.76/0.86 [15]P2(x153,x152)+~E(x151,x152)+~P2(x153,x151)
% 0.76/0.86
% 0.76/0.86 %-------------------------------------------
% 0.76/0.86 cnf(42,plain,
% 0.76/0.86 (E(x421,f8(x421,x421))),
% 0.76/0.86 inference(scs_inference,[],[21,2])).
% 0.76/0.86 cnf(43,plain,
% 0.76/0.86 (~P3(x431,a1)),
% 0.76/0.86 inference(scs_inference,[],[16,21,2,30])).
% 0.76/0.86 cnf(45,plain,
% 0.76/0.86 (P2(a1,x451)),
% 0.76/0.86 inference(scs_inference,[],[16,21,2,30,33])).
% 0.76/0.86 cnf(47,plain,
% 0.76/0.86 (P2(a5,f8(a7,a7))),
% 0.76/0.86 inference(scs_inference,[],[18,16,21,2,30,33,15])).
% 0.76/0.86 cnf(50,plain,
% 0.76/0.86 (E(f8(x501,x501),x501)),
% 0.76/0.86 inference(rename_variables,[],[21])).
% 0.76/0.86 cnf(52,plain,
% 0.76/0.86 (E(f8(x521,x521),x521)),
% 0.76/0.86 inference(rename_variables,[],[21])).
% 0.76/0.86 cnf(53,plain,
% 0.76/0.86 (~E(f8(a5,a7),f8(a5,a5))),
% 0.76/0.86 inference(scs_inference,[],[18,20,16,24,25,21,50,52,2,30,33,15,14,11,3])).
% 0.76/0.86 cnf(54,plain,
% 0.76/0.86 (E(f8(x541,x541),x541)),
% 0.76/0.86 inference(rename_variables,[],[21])).
% 0.76/0.86 cnf(55,plain,
% 0.76/0.86 (~P2(a5,f8(a5,a7))),
% 0.76/0.86 inference(scs_inference,[],[18,20,16,24,25,21,50,52,23,2,30,33,15,14,11,3,32])).
% 0.76/0.86 cnf(57,plain,
% 0.76/0.86 (~P3(f3(a1,x571),f8(f8(a1,x572),f8(a1,x572)))),
% 0.76/0.87 inference(scs_inference,[],[18,20,16,24,25,21,50,52,54,23,2,30,33,15,14,11,3,32,36])).
% 0.76/0.87 cnf(58,plain,
% 0.76/0.87 (E(f8(x581,x581),x581)),
% 0.76/0.87 inference(rename_variables,[],[21])).
% 0.76/0.87 cnf(61,plain,
% 0.76/0.87 (E(f8(x611,x611),x611)),
% 0.76/0.87 inference(rename_variables,[],[21])).
% 0.76/0.87 cnf(63,plain,
% 0.76/0.87 (P2(f8(x631,a1),a1)),
% 0.76/0.87 inference(scs_inference,[],[18,20,16,24,25,21,50,52,54,58,23,19,2,30,33,15,14,11,3,32,36,35,29])).
% 0.76/0.87 cnf(65,plain,
% 0.76/0.87 (E(a2,a1)),
% 0.76/0.87 inference(scs_inference,[],[18,20,16,17,24,25,21,50,52,54,58,23,19,2,30,33,15,14,11,3,32,36,35,29,26])).
% 0.76/0.87 cnf(67,plain,
% 0.76/0.87 (E(f3(x671,f8(x672,x672)),f3(x671,x672))),
% 0.76/0.87 inference(scs_inference,[],[18,20,16,17,24,25,21,50,52,54,58,61,23,19,2,30,33,15,14,11,3,32,36,35,29,26,10])).
% 0.76/0.87 cnf(68,plain,
% 0.76/0.87 (E(f3(f8(x681,x681),x682),f3(x681,x682))),
% 0.76/0.87 inference(scs_inference,[],[18,20,16,17,24,25,21,50,52,54,58,61,23,19,2,30,33,15,14,11,3,32,36,35,29,26,10,9])).
% 0.76/0.87 cnf(69,plain,
% 0.76/0.87 (E(f4(x691,x692,f8(x693,x693)),f4(x691,x692,x693))),
% 0.76/0.87 inference(scs_inference,[],[18,20,16,17,24,25,21,50,52,54,58,61,23,19,2,30,33,15,14,11,3,32,36,35,29,26,10,9,8])).
% 0.76/0.87 cnf(70,plain,
% 0.76/0.87 (E(f4(x701,f8(x702,x702),x703),f4(x701,x702,x703))),
% 0.76/0.87 inference(scs_inference,[],[18,20,16,17,24,25,21,50,52,54,58,61,23,19,2,30,33,15,14,11,3,32,36,35,29,26,10,9,8,7])).
% 0.76/0.87 cnf(71,plain,
% 0.76/0.87 (E(f4(f8(x711,x711),x712,x713),f4(x711,x712,x713))),
% 0.76/0.87 inference(scs_inference,[],[18,20,16,17,24,25,21,50,52,54,58,61,23,19,2,30,33,15,14,11,3,32,36,35,29,26,10,9,8,7,6])).
% 0.76/0.87 cnf(72,plain,
% 0.76/0.87 (E(f8(x721,f8(x722,x722)),f8(x721,x722))),
% 0.76/0.87 inference(scs_inference,[],[18,20,16,17,24,25,21,50,52,54,58,61,23,19,2,30,33,15,14,11,3,32,36,35,29,26,10,9,8,7,6,5])).
% 0.76/0.87 cnf(73,plain,
% 0.76/0.87 (E(f8(f8(x731,x731),x732),f8(x731,x732))),
% 0.76/0.87 inference(scs_inference,[],[18,20,16,17,24,25,21,50,52,54,58,61,23,19,2,30,33,15,14,11,3,32,36,35,29,26,10,9,8,7,6,5,4])).
% 0.76/0.87 cnf(74,plain,
% 0.76/0.87 (~P3(f3(a5,f8(a5,a7)),f8(a5,a7))),
% 0.76/0.87 inference(scs_inference,[],[18,20,16,17,24,25,21,50,52,54,58,61,23,19,2,30,33,15,14,11,3,32,36,35,29,26,10,9,8,7,6,5,4,37])).
% 0.76/0.87 cnf(82,plain,
% 0.76/0.87 (E(f8(x821,x822),f8(x822,x821))),
% 0.76/0.87 inference(rename_variables,[],[22])).
% 0.76/0.87 cnf(84,plain,
% 0.76/0.87 (~E(a5,f8(a5,a7))),
% 0.76/0.87 inference(scs_inference,[],[22,25,57,38,2])).
% 0.76/0.87 cnf(85,plain,
% 0.76/0.87 (~P2(f8(a5,a5),f8(a5,a7))),
% 0.76/0.87 inference(scs_inference,[],[22,25,21,57,55,38,2,14])).
% 0.76/0.87 cnf(87,plain,
% 0.76/0.87 (~P3(f3(a5,f8(a5,a7)),f8(a7,a5))),
% 0.76/0.87 inference(scs_inference,[],[22,82,25,21,74,57,55,38,2,14,13])).
% 0.76/0.87 cnf(88,plain,
% 0.76/0.87 (E(f8(x881,x882),f8(x882,x881))),
% 0.76/0.87 inference(rename_variables,[],[22])).
% 0.76/0.87 cnf(91,plain,
% 0.76/0.87 (E(f8(x911,x912),f8(x912,x911))),
% 0.76/0.87 inference(rename_variables,[],[22])).
% 0.76/0.87 cnf(92,plain,
% 0.76/0.87 (~P2(a6,a1)),
% 0.76/0.87 inference(scs_inference,[],[22,82,88,16,24,25,21,74,57,45,55,38,2,14,13,11,3,32])).
% 0.76/0.87 cnf(95,plain,
% 0.76/0.87 (~E(f8(a5,a5),f8(a5,a7))),
% 0.76/0.87 inference(scs_inference,[],[22,82,88,16,24,25,21,74,57,45,55,38,2,14,13,11,3,32,29])).
% 0.76/0.87 cnf(97,plain,
% 0.76/0.87 (P3(f3(a5,f8(a5,a7)),a5)),
% 0.76/0.87 inference(scs_inference,[],[22,82,88,16,24,25,21,74,57,45,55,38,2,14,13,11,3,32,29,33])).
% 0.76/0.87 cnf(99,plain,
% 0.76/0.87 (~E(a7,a5)),
% 0.76/0.87 inference(scs_inference,[],[22,82,88,16,24,25,21,74,57,45,53,55,38,2,14,13,11,3,32,29,33,5])).
% 0.76/0.87 cnf(100,plain,
% 0.76/0.87 (~P2(a5,f8(a7,a5))),
% 0.76/0.87 inference(scs_inference,[],[22,82,88,91,16,24,25,21,74,57,45,53,55,38,2,14,13,11,3,32,29,33,5,15])).
% 0.76/0.87 cnf(102,plain,
% 0.76/0.87 (~P3(f3(f8(a5,a5),f8(a5,a7)),f8(a5,a7))),
% 0.76/0.87 inference(scs_inference,[],[22,82,88,91,16,24,25,21,68,74,57,45,53,55,38,2,14,13,11,3,32,29,33,5,15,12])).
% 0.76/0.87 cnf(108,plain,
% 0.76/0.87 (~P3(x1081,a1)),
% 0.76/0.87 inference(rename_variables,[],[43])).
% 0.76/0.87 cnf(112,plain,
% 0.76/0.87 (~P3(x1121,a1)),
% 0.76/0.87 inference(rename_variables,[],[43])).
% 0.76/0.87 cnf(116,plain,
% 0.76/0.87 (~P1(a5)),
% 0.76/0.87 inference(scs_inference,[],[22,82,88,91,16,24,25,21,68,74,57,43,108,45,53,55,38,2,14,13,11,3,32,29,33,5,15,12,31,40,39,41,30])).
% 0.76/0.87 cnf(118,plain,
% 0.76/0.87 (~E(a5,f8(x1181,f8(a5,a7)))),
% 0.76/0.87 inference(scs_inference,[],[22,82,88,91,16,24,25,21,68,74,57,43,108,45,53,55,38,2,14,13,11,3,32,29,33,5,15,12,31,40,39,41,30,35])).
% 0.76/0.87 cnf(120,plain,
% 0.76/0.87 (~E(a5,f8(f8(a5,a7),x1201))),
% 0.76/0.87 inference(scs_inference,[],[22,82,88,91,16,24,25,21,68,74,57,43,108,45,53,55,38,2,14,13,11,3,32,29,33,5,15,12,31,40,39,41,30,35,36])).
% 0.76/0.87 cnf(122,plain,
% 0.76/0.87 (~P2(a5,a1)),
% 0.76/0.87 inference(scs_inference,[],[22,82,88,91,16,24,25,21,68,74,57,43,108,112,45,53,55,38,2,14,13,11,3,32,29,33,5,15,12,31,40,39,41,30,35,36,34])).
% 0.76/0.87 cnf(125,plain,
% 0.76/0.87 (P3(f3(a5,f8(a5,a7)),f8(a5,a5))),
% 0.76/0.87 inference(scs_inference,[],[22,97,38])).
% 0.76/0.87 cnf(126,plain,
% 0.76/0.87 (E(f8(x1261,x1262),f8(x1262,x1261))),
% 0.76/0.87 inference(rename_variables,[],[22])).
% 0.76/0.87 cnf(130,plain,
% 0.76/0.87 (~P3(x1301,a2)),
% 0.76/0.87 inference(scs_inference,[],[17,22,97,38,31,30])).
% 0.76/0.87 cnf(132,plain,
% 0.76/0.87 (~P2(a7,a5)),
% 0.76/0.87 inference(scs_inference,[],[17,22,97,99,18,38,31,30,32])).
% 0.76/0.87 cnf(134,plain,
% 0.76/0.87 (E(f3(x1341,x1342),f3(x1341,f8(x1342,x1342)))),
% 0.76/0.87 inference(scs_inference,[],[17,22,67,97,99,18,38,31,30,32,2])).
% 0.76/0.87 cnf(137,plain,
% 0.76/0.87 (E(x1371,f8(x1371,x1371))),
% 0.76/0.87 inference(rename_variables,[],[42])).
% 0.76/0.87 cnf(138,plain,
% 0.76/0.87 (P2(x1381,f8(x1381,x1381))),
% 0.76/0.87 inference(scs_inference,[],[42,137,17,19,22,21,67,97,99,116,18,38,31,30,32,2,11,3,29])).
% 0.76/0.87 cnf(140,plain,
% 0.76/0.87 (P2(a2,x1401)),
% 0.76/0.87 inference(scs_inference,[],[42,137,17,19,22,21,67,97,99,116,18,38,31,30,32,2,11,3,29,33])).
% 0.76/0.87 cnf(142,plain,
% 0.76/0.87 (E(f8(x1421,x1422),f8(x1421,f8(x1422,x1422)))),
% 0.76/0.87 inference(scs_inference,[],[42,137,17,19,22,21,67,97,99,116,18,38,31,30,32,2,11,3,29,33,5])).
% 0.76/0.87 cnf(144,plain,
% 0.76/0.87 (P2(x1441,x1441)),
% 0.76/0.87 inference(rename_variables,[],[20])).
% 0.76/0.87 cnf(145,plain,
% 0.76/0.87 (~E(a5,f8(a7,a5))),
% 0.76/0.87 inference(scs_inference,[],[42,137,20,17,19,22,126,21,67,87,97,99,116,18,38,31,30,32,2,11,3,29,33,5,14,13])).
% 0.76/0.87 cnf(150,plain,
% 0.76/0.87 (P3(f4(f8(a5,a7),a1,a5),a5)),
% 0.76/0.87 inference(scs_inference,[],[42,137,20,144,17,19,22,126,21,67,95,87,120,97,99,116,18,43,38,31,30,32,2,11,3,29,33,5,14,13,15,40,39])).
% 0.76/0.87 cnf(159,plain,
% 0.76/0.87 (~P3(x1591,a2)),
% 0.76/0.87 inference(rename_variables,[],[130])).
% 0.76/0.87 cnf(163,plain,
% 0.76/0.87 (~P3(x1631,a2)),
% 0.76/0.87 inference(rename_variables,[],[130])).
% 0.76/0.87 cnf(165,plain,
% 0.76/0.87 (~E(a2,f8(f8(a5,a5),f8(a5,a5)))),
% 0.76/0.88 inference(scs_inference,[],[125,130,159,163,40,39,38])).
% 0.76/0.88 cnf(170,plain,
% 0.76/0.88 (~P2(a5,f8(a5,f8(a5,a7)))),
% 0.76/0.88 inference(scs_inference,[],[23,125,118,130,159,163,150,40,39,38,31,32])).
% 0.76/0.88 cnf(171,plain,
% 0.76/0.88 (~E(a5,f8(x1711,f8(a5,a7)))),
% 0.76/0.88 inference(rename_variables,[],[118])).
% 0.76/0.88 cnf(172,plain,
% 0.76/0.88 (P2(f8(x1721,x1722),x1721)),
% 0.76/0.88 inference(rename_variables,[],[23])).
% 0.76/0.88 cnf(174,plain,
% 0.76/0.88 (~E(a5,f8(a5,f8(a7,a7)))),
% 0.76/0.88 inference(scs_inference,[],[23,72,125,84,118,130,159,163,150,40,39,38,31,32,3])).
% 0.76/0.88 cnf(176,plain,
% 0.76/0.88 (~E(a5,a1)),
% 0.76/0.88 inference(scs_inference,[],[23,72,125,84,118,122,130,159,163,150,40,39,38,31,32,3,29])).
% 0.76/0.88 cnf(178,plain,
% 0.76/0.88 (P1(f8(a2,a2))),
% 0.76/0.88 inference(scs_inference,[],[42,23,17,72,125,84,118,122,130,159,163,150,40,39,38,31,32,3,29,11])).
% 0.76/0.88 cnf(180,plain,
% 0.76/0.88 (P3(f3(f8(a5,a5),f8(a5,a7)),f8(a5,a5))),
% 0.76/0.88 inference(scs_inference,[],[42,23,17,72,125,85,84,118,122,130,159,163,150,40,39,38,31,32,3,29,11,33])).
% 0.76/0.88 cnf(184,plain,
% 0.76/0.88 (~P3(f3(f8(a5,a5),f8(a5,a7)),f8(a7,a5))),
% 0.76/0.88 inference(scs_inference,[],[42,23,17,22,72,102,125,85,84,118,171,122,130,159,163,150,95,40,39,38,31,32,3,29,11,33,2,5,13])).
% 0.76/0.88 cnf(187,plain,
% 0.76/0.88 (P2(f8(x1871,x1872),x1871)),
% 0.76/0.88 inference(rename_variables,[],[23])).
% 0.76/0.88 cnf(189,plain,
% 0.76/0.88 (P3(f3(f8(a5,a5),f8(a5,a7)),a5)),
% 0.76/0.88 inference(scs_inference,[],[42,23,172,187,17,22,138,72,102,125,85,84,118,171,122,130,159,163,150,95,40,39,38,31,32,3,29,11,33,2,5,13,14,15,34])).
% 0.76/0.88 cnf(195,plain,
% 0.76/0.88 (~P3(x1951,a1)),
% 0.76/0.88 inference(rename_variables,[],[43])).
% 0.76/0.88 cnf(202,plain,
% 0.76/0.88 (~P3(x2021,f8(a1,x2022))),
% 0.76/0.88 inference(scs_inference,[],[23,43,195,118,120,130,40,39,34])).
% 0.76/0.88 cnf(203,plain,
% 0.76/0.88 (P2(f8(x2031,x2032),x2031)),
% 0.76/0.88 inference(rename_variables,[],[23])).
% 0.76/0.88 cnf(213,plain,
% 0.76/0.88 (P2(f8(a1,x2131),x2132)),
% 0.76/0.88 inference(scs_inference,[],[23,203,43,195,73,180,140,118,120,130,40,39,34,31,32,29,33])).
% 0.76/0.88 cnf(215,plain,
% 0.76/0.88 (~E(f8(a5,a5),f8(a7,a5))),
% 0.76/0.88 inference(scs_inference,[],[42,23,203,43,195,73,180,145,140,118,120,130,40,39,34,31,32,29,33,3])).
% 0.76/0.88 cnf(216,plain,
% 0.76/0.88 (E(x2161,f8(x2161,x2161))),
% 0.76/0.88 inference(rename_variables,[],[42])).
% 0.76/0.88 cnf(217,plain,
% 0.76/0.88 (E(f8(x2171,x2172),f8(f8(x2171,x2171),x2172))),
% 0.76/0.88 inference(scs_inference,[],[42,23,203,43,195,73,180,145,140,118,120,130,40,39,34,31,32,29,33,3,2])).
% 0.76/0.88 cnf(218,plain,
% 0.76/0.88 (~E(a2,a6)),
% 0.76/0.88 inference(scs_inference,[],[42,24,23,203,43,195,17,73,180,145,140,118,120,130,40,39,34,31,32,29,33,3,2,11])).
% 0.76/0.88 cnf(219,plain,
% 0.76/0.88 (E(f8(x2191,f8(x2192,a1)),f8(x2191,a1))),
% 0.76/0.88 inference(scs_inference,[],[42,24,23,203,19,43,195,17,73,180,145,140,118,120,130,40,39,34,31,32,29,33,3,2,11,5])).
% 0.76/0.88 cnf(222,plain,
% 0.76/0.88 (~P2(f8(a5,a5),f8(a7,a5))),
% 0.76/0.88 inference(scs_inference,[],[42,24,23,203,19,43,195,17,21,73,180,145,140,100,118,120,130,40,39,34,31,32,29,33,3,2,11,5,13,14])).
% 0.76/0.88 cnf(224,plain,
% 0.76/0.88 (~P2(a5,f8(f8(a5,a7),a5))),
% 0.76/0.88 inference(scs_inference,[],[42,24,23,203,19,43,195,22,17,21,73,180,145,140,100,170,118,120,130,40,39,34,31,32,29,33,3,2,11,5,13,14,15])).
% 0.76/0.88 cnf(228,plain,
% 0.76/0.88 (E(f3(x2281,x2282),f3(f8(x2281,x2281),x2282))),
% 0.76/0.88 inference(scs_inference,[],[42,216,24,23,203,19,43,195,22,17,21,73,180,145,140,100,170,118,120,130,40,39,34,31,32,29,33,3,2,11,5,13,14,15,37,9])).
% 0.76/0.88 cnf(231,plain,
% 0.76/0.88 (E(f8(a2,a2),a1)),
% 0.76/0.88 inference(scs_inference,[],[42,216,24,23,203,19,43,195,22,17,21,73,180,145,140,178,100,170,118,120,130,40,39,34,31,32,29,33,3,2,11,5,13,14,15,37,9,8,6,26])).
% 0.76/0.88 cnf(236,plain,
% 0.76/0.88 (~P3(x2361,f8(f8(x2362,a1),f8(x2362,a1)))),
% 0.76/0.88 inference(scs_inference,[],[43,21,35])).
% 0.76/0.88 cnf(237,plain,
% 0.76/0.88 (E(f8(x2371,x2371),x2371)),
% 0.76/0.88 inference(rename_variables,[],[21])).
% 0.76/0.88 cnf(242,plain,
% 0.76/0.88 (P3(f4(f8(a5,a5),f8(a5,a5),a2),f8(a5,a5))),
% 0.76/0.88 inference(scs_inference,[],[43,21,237,165,130,35,36,40])).
% 0.76/0.88 cnf(247,plain,
% 0.76/0.88 (~P2(a5,f8(a1,x2471))),
% 0.76/0.88 inference(scs_inference,[],[43,21,237,202,165,189,145,130,35,36,40,39,34])).
% 0.76/0.88 cnf(250,plain,
% 0.76/0.88 (P3(f8(f4(a7,a5,a5),f4(a7,a5,a5)),a5)),
% 0.76/0.88 inference(scs_inference,[],[42,43,21,237,202,165,189,145,130,35,36,40,39,34,12])).
% 0.76/0.88 cnf(251,plain,
% 0.76/0.88 (E(x2511,f8(x2511,x2511))),
% 0.76/0.88 inference(rename_variables,[],[42])).
% 0.76/0.88 cnf(254,plain,
% 0.76/0.88 (E(f8(a1,x2541),f8(f8(a1,x2541),x2542))),
% 0.76/0.88 inference(scs_inference,[],[42,23,43,21,237,202,213,165,189,145,130,35,36,40,39,34,12,31,32])).
% 0.76/0.88 cnf(260,plain,
% 0.76/0.88 (P3(f3(f8(a5,a5),f8(a7,a5)),f8(a5,a5))),
% 0.76/0.88 inference(scs_inference,[],[42,23,43,21,237,222,202,213,165,189,92,145,130,35,36,40,39,34,12,31,32,29,33])).
% 0.76/0.88 cnf(262,plain,
% 0.76/0.88 (E(a2,f8(a1,a1))),
% 0.76/0.88 inference(scs_inference,[],[42,251,23,43,21,237,222,202,213,65,165,189,92,145,130,35,36,40,39,34,12,31,32,29,33,3])).
% 0.76/0.88 cnf(264,plain,
% 0.76/0.88 (~E(f8(a7,a5),f8(a5,a5))),
% 0.76/0.88 inference(scs_inference,[],[42,251,23,43,21,237,222,215,202,213,65,165,189,92,145,130,35,36,40,39,34,12,31,32,29,33,3,2])).
% 0.76/0.88 cnf(266,plain,
% 0.76/0.88 (P2(x2661,x2661)),
% 0.76/0.88 inference(rename_variables,[],[20])).
% 0.76/0.88 cnf(267,plain,
% 0.76/0.88 (~E(f8(a5,a5),a1)),
% 0.76/0.88 inference(scs_inference,[],[20,42,251,23,43,21,237,134,222,215,202,213,65,165,189,92,180,145,130,35,36,40,39,34,12,31,32,29,33,3,2,15,13])).
% 0.76/0.88 cnf(271,plain,
% 0.76/0.88 (~P3(f4(a7,a5,a5),a7)),
% 0.76/0.88 inference(scs_inference,[],[20,266,42,251,23,43,21,237,134,142,222,215,202,213,65,165,189,92,180,145,130,35,36,40,39,34,12,31,32,29,33,3,2,15,13,14,41])).
% 0.76/0.88 cnf(273,plain,
% 0.76/0.88 (~E(f8(a5,a5),f8(x2731,a1))),
% 0.76/0.88 inference(scs_inference,[],[43,260,35])).
% 0.76/0.88 cnf(274,plain,
% 0.76/0.88 (~P3(x2741,a1)),
% 0.76/0.88 inference(rename_variables,[],[43])).
% 0.76/0.88 cnf(276,plain,
% 0.76/0.88 (~E(f8(a5,a5),f8(a1,x2761))),
% 0.76/0.88 inference(scs_inference,[],[43,274,260,35,36])).
% 0.76/0.88 cnf(277,plain,
% 0.76/0.88 (~P3(x2771,a1)),
% 0.76/0.88 inference(rename_variables,[],[43])).
% 0.76/0.88 cnf(280,plain,
% 0.76/0.88 (~P3(x2801,f8(a1,x2802))),
% 0.76/0.88 inference(rename_variables,[],[202])).
% 0.76/0.88 cnf(281,plain,
% 0.76/0.88 (~P3(x2811,a1)),
% 0.76/0.88 inference(rename_variables,[],[43])).
% 0.76/0.88 cnf(290,plain,
% 0.76/0.88 (E(f8(x2901,x2901),x2901)),
% 0.76/0.88 inference(rename_variables,[],[21])).
% 0.76/0.88 cnf(291,plain,
% 0.76/0.88 (~P2(a6,a2)),
% 0.76/0.88 inference(scs_inference,[],[21,43,274,277,281,260,271,218,202,280,140,35,36,40,39,31,12,32])).
% 0.76/0.88 cnf(296,plain,
% 0.76/0.88 (~E(f8(a7,a5),f8(f8(a5,a5),f8(a5,a5)))),
% 0.76/0.88 inference(scs_inference,[],[21,290,43,274,277,281,217,260,264,271,218,202,280,140,35,36,40,39,31,12,32,29,3])).
% 0.76/0.88 cnf(298,plain,
% 0.76/0.88 (E(f8(f8(a1,x2981),x2982),f8(a1,x2981))),
% 0.76/0.88 inference(scs_inference,[],[21,290,43,274,277,281,217,260,264,254,271,218,202,280,140,35,36,40,39,31,12,32,29,3,2])).
% 0.76/0.88 cnf(299,plain,
% 0.76/0.88 (~P3(x2991,f8(x2992,a1))),
% 0.76/0.88 inference(scs_inference,[],[42,21,290,43,274,277,281,217,260,264,236,254,271,218,202,280,140,35,36,40,39,31,12,32,29,3,2,13])).
% 0.76/0.88 cnf(300,plain,
% 0.76/0.88 (E(x3001,f8(x3001,x3001))),
% 0.76/0.88 inference(rename_variables,[],[42])).
% 0.76/0.88 cnf(305,plain,
% 0.76/0.88 (~P3(x3051,f8(a2,a2))),
% 0.76/0.88 inference(scs_inference,[],[45,42,300,21,290,43,274,277,281,217,260,264,236,254,271,63,224,218,202,280,140,178,35,36,40,39,31,12,32,29,3,2,13,14,15,30])).
% 0.76/0.88 cnf(307,plain,
% 0.76/0.88 (P3(f3(a5,f8(a1,x3071)),a5)),
% 0.76/0.88 inference(scs_inference,[],[45,42,300,21,290,43,274,277,281,217,260,264,236,254,271,63,224,247,218,202,280,140,178,35,36,40,39,31,12,32,29,3,2,13,14,15,30,33])).
% 0.76/0.88 cnf(310,plain,
% 0.76/0.88 (E(f8(x3101,x3102),f8(x3102,x3101))),
% 0.76/0.88 inference(rename_variables,[],[22])).
% 0.76/0.88 cnf(313,plain,
% 0.76/0.88 (E(f8(x3131,x3132),f8(x3132,x3131))),
% 0.76/0.88 inference(rename_variables,[],[22])).
% 0.76/0.88 cnf(316,plain,
% 0.76/0.88 (~P3(x3161,a1)),
% 0.76/0.88 inference(rename_variables,[],[43])).
% 0.76/0.88 cnf(317,plain,
% 0.76/0.88 (~E(f8(a5,a5),f8(x3171,a1))),
% 0.76/0.88 inference(rename_variables,[],[273])).
% 0.76/0.88 cnf(319,plain,
% 0.76/0.88 (P3(f4(x3191,a1,f8(a5,a5)),f8(a5,a5))),
% 0.76/0.88 inference(scs_inference,[],[22,310,43,316,299,273,317,35,36,40,39])).
% 0.76/0.88 cnf(324,plain,
% 0.76/0.88 (P3(f3(f8(a5,a5),f8(a1,x3241)),a5)),
% 0.76/0.88 inference(scs_inference,[],[22,310,43,316,228,242,299,273,317,307,35,36,40,39,31,12])).
% 0.76/0.88 cnf(326,plain,
% 0.76/0.88 (~P2(f8(a5,a5),f8(f8(a5,a5),a1))),
% 0.76/0.88 inference(scs_inference,[],[23,22,310,43,316,228,242,299,273,317,307,35,36,40,39,31,12,32])).
% 0.76/0.88 cnf(337,plain,
% 0.76/0.88 (E(f8(x3371,x3372),f8(x3372,x3371))),
% 0.76/0.88 inference(rename_variables,[],[22])).
% 0.76/0.88 cnf(338,plain,
% 0.76/0.88 (P3(f4(f8(a5,a5),f8(a5,a5),a2),a5)),
% 0.76/0.88 inference(scs_inference,[],[23,22,310,313,21,43,316,228,296,242,299,273,317,307,291,35,36,40,39,31,12,32,33,29,2,3,13])).
% 0.76/0.88 cnf(339,plain,
% 0.76/0.88 (E(f8(x3391,x3391),x3391)),
% 0.76/0.88 inference(rename_variables,[],[21])).
% 0.76/0.88 cnf(340,plain,
% 0.76/0.88 (~P2(f8(a7,a7),a5)),
% 0.76/0.88 inference(scs_inference,[],[23,22,310,313,21,339,43,316,228,296,242,299,273,317,307,132,291,35,36,40,39,31,12,32,33,29,2,3,13,14])).
% 0.76/0.88 cnf(341,plain,
% 0.76/0.88 (E(f8(x3411,x3411),x3411)),
% 0.76/0.88 inference(rename_variables,[],[21])).
% 0.76/0.88 cnf(342,plain,
% 0.76/0.88 (~P2(a7,f8(a5,a5))),
% 0.76/0.88 inference(scs_inference,[],[23,22,310,313,21,339,341,43,316,228,296,242,299,273,317,307,132,291,35,36,40,39,31,12,32,33,29,2,3,13,14,15])).
% 0.76/0.88 cnf(344,plain,
% 0.76/0.88 (~P3(f3(f8(a5,a5),f8(a5,a7)),a7)),
% 0.76/0.88 inference(scs_inference,[],[23,22,310,313,337,21,339,341,43,316,228,296,184,242,299,273,317,307,132,291,189,35,36,40,39,31,12,32,33,29,2,3,13,14,15,38])).
% 0.76/0.88 cnf(356,plain,
% 0.76/0.88 (~P2(f8(a5,a5),a1)),
% 0.76/0.88 inference(scs_inference,[],[22,43,319,298,35,36,34])).
% 0.76/0.88 cnf(357,plain,
% 0.76/0.88 (~P3(x3571,a1)),
% 0.76/0.88 inference(rename_variables,[],[43])).
% 0.76/0.88 cnf(361,plain,
% 0.76/0.88 (P3(f4(a1,x3611,f8(a5,a5)),f8(a5,a5))),
% 0.76/0.88 inference(scs_inference,[],[22,43,357,319,298,276,35,36,34,31,40])).
% 0.76/0.88 cnf(362,plain,
% 0.76/0.88 (~P3(x3621,a1)),
% 0.76/0.88 inference(rename_variables,[],[43])).
% 0.76/0.88 cnf(364,plain,
% 0.76/0.88 (~P2(a5,f8(a5,f8(a7,a7)))),
% 0.76/0.88 inference(scs_inference,[],[23,22,43,357,319,298,276,174,35,36,34,31,40,32])).
% 0.76/0.88 cnf(372,plain,
% 0.76/0.88 (E(f8(f8(x3721,a1),f8(x3721,a1)),a1)),
% 0.76/0.88 inference(scs_inference,[],[19,23,22,21,43,357,69,319,298,219,342,276,174,35,36,34,31,40,32,33,29,2,3])).
% 0.76/0.88 cnf(375,plain,
% 0.76/0.88 (E(x3751,f8(x3751,x3751))),
% 0.76/0.88 inference(rename_variables,[],[42])).
% 0.76/0.88 cnf(377,plain,
% 0.76/0.88 (E(x3771,f8(x3771,x3771))),
% 0.76/0.88 inference(rename_variables,[],[42])).
% 0.76/0.88 cnf(378,plain,
% 0.76/0.88 (~E(a7,a1)),
% 0.76/0.88 inference(scs_inference,[],[19,47,42,375,23,22,21,43,357,362,69,319,298,219,342,276,174,35,36,34,31,40,32,33,29,2,3,15,14,13])).
% 0.76/0.88 cnf(379,plain,
% 0.76/0.88 (~P3(x3791,a1)),
% 0.76/0.88 inference(rename_variables,[],[43])).
% 0.76/0.88 cnf(380,plain,
% 0.76/0.88 (~P3(f3(a7,f8(a5,a5)),f8(a5,a5))),
% 0.76/0.88 inference(scs_inference,[],[19,47,42,375,23,22,21,43,357,362,69,319,298,219,342,276,174,35,36,34,31,40,32,33,29,2,3,15,14,13,37])).
% 0.76/0.88 cnf(382,plain,
% 0.76/0.88 (E(f4(x3821,x3822,f8(x3823,a1)),f4(x3821,x3822,a1))),
% 0.76/0.88 inference(scs_inference,[],[19,47,42,375,23,22,21,43,357,362,69,319,298,219,342,276,174,35,36,34,31,40,32,33,29,2,3,15,14,13,37,8])).
% 0.76/0.88 cnf(387,plain,
% 0.76/0.88 (~P1(a7)),
% 0.76/0.88 inference(scs_inference,[],[19,47,42,375,23,22,21,43,357,362,69,319,298,219,342,262,276,174,35,36,34,31,40,32,33,29,2,3,15,14,13,37,8,9,7,6,10,30])).
% 0.76/0.88 cnf(394,plain,
% 0.76/0.88 (P1(f8(f8(a2,a2),f8(a2,a2)))),
% 0.76/0.88 inference(scs_inference,[],[19,47,42,375,377,23,22,21,43,357,362,379,69,319,298,219,305,342,262,276,174,178,35,36,34,31,40,32,33,29,2,3,15,14,13,37,8,9,7,6,10,30,4,39,11])).
% 0.76/0.88 cnf(404,plain,
% 0.76/0.88 (~P3(x4041,a1)),
% 0.76/0.88 inference(rename_variables,[],[43])).
% 0.76/0.88 cnf(407,plain,
% 0.76/0.88 (~P3(x4071,a1)),
% 0.76/0.88 inference(rename_variables,[],[43])).
% 0.76/0.88 cnf(410,plain,
% 0.76/0.88 (~P3(x4101,f8(a2,a2))),
% 0.76/0.88 inference(rename_variables,[],[305])).
% 0.76/0.88 cnf(411,plain,
% 0.76/0.88 (~P3(x4111,a1)),
% 0.76/0.88 inference(rename_variables,[],[43])).
% 0.76/0.88 cnf(415,plain,
% 0.76/0.88 (P3(f4(x4151,a1,a5),a5)),
% 0.76/0.88 inference(scs_inference,[],[43,404,407,411,361,250,394,305,26,30,35,36,40,31,39])).
% 0.76/0.88 cnf(432,plain,
% 0.76/0.88 (~E(f8(f8(a5,a5),a1),f8(a5,a5))),
% 0.76/0.88 inference(scs_inference,[],[47,45,20,24,43,404,407,411,71,176,267,361,326,250,394,338,231,340,364,378,305,410,26,30,35,36,40,31,39,32,11,33,12,29,2,3,15,14])).
% 0.76/0.88 cnf(434,plain,
% 0.76/0.88 (~P3(f3(a7,f8(a5,a5)),a5)),
% 0.76/0.88 inference(scs_inference,[],[47,45,20,24,42,43,404,407,411,71,176,267,380,361,326,250,394,338,231,340,364,378,305,410,26,30,35,36,40,31,39,32,11,33,12,29,2,3,15,14,13])).
% 0.76/0.88 cnf(439,plain,
% 0.76/0.88 (E(f8(x4391,x4392),f8(x4392,x4391))),
% 0.76/0.88 inference(rename_variables,[],[22])).
% 0.76/0.88 cnf(442,plain,
% 0.76/0.88 (E(f8(x4421,x4422),f8(x4422,x4421))),
% 0.76/0.88 inference(rename_variables,[],[22])).
% 0.76/0.88 cnf(445,plain,
% 0.76/0.88 (E(f8(x4451,x4452),f8(x4452,x4451))),
% 0.76/0.88 inference(rename_variables,[],[22])).
% 0.76/0.88 cnf(467,plain,
% 0.76/0.88 (~P3(f3(f8(a5,a5),f8(a5,a7)),f8(a7,a7))),
% 0.76/0.88 inference(scs_inference,[],[45,23,22,439,442,445,21,43,70,382,432,356,324,372,434,415,387,344,305,38,35,36,31,39,32,33,11,29,12,3,2,15,13])).
% 0.76/0.88 cnf(514,plain,
% 0.76/0.88 ($false),
% 0.76/0.88 inference(scs_inference,[],[47,467,189,34]),
% 0.76/0.88 ['proof']).
% 0.76/0.88 % SZS output end Proof
% 0.76/0.88 % Total time :0.220000s
%------------------------------------------------------------------------------