TSTP Solution File: KLE137+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KLE137+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n011.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 05:25:20 EDT 2023
% Result : Theorem 0.93s 1.00s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE137+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n011.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 : Tue Aug 29 11:13:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.93/0.99 %-------------------------------------------
% 0.93/0.99 % File :CSE---1.6
% 0.93/0.99 % Problem :theBenchmark
% 0.93/0.99 % Transform :cnf
% 0.93/0.99 % Format :tptp:raw
% 0.93/0.99 % Command :java -jar mcs_scs.jar %d %s
% 0.93/0.99
% 0.93/0.99 % Result :Theorem 0.380000s
% 0.93/0.99 % Output :CNFRefutation 0.380000s
% 0.93/0.99 %-------------------------------------------
% 0.93/1.00 %------------------------------------------------------------------------------
% 0.93/1.00 % File : KLE137+1 : TPTP v8.1.2. Released v4.0.0.
% 0.93/1.00 % Domain : Kleene Algebra (Demonic Refinement Algebra)
% 0.93/1.00 % Problem : There is a greatest element, namely 1^infty
% 0.93/1.00 % Version : [Hoe08] axioms.
% 0.93/1.00 % English :
% 0.93/1.00
% 0.93/1.00 % Refs : [vW02] von Wright (2002), From Kleene Algebra to Refinement A
% 0.93/1.00 % : [Hoe08] Hoefner (2008), Email to G. Sutcliffe
% 0.93/1.00 % Source : [Hoe08]
% 0.93/1.00 % Names :
% 0.93/1.00
% 0.93/1.00 % Status : Theorem
% 0.93/1.00 % Rating : 0.22 v8.1.0, 0.25 v7.5.0, 0.28 v7.4.0, 0.13 v7.3.0, 0.24 v7.1.0, 0.17 v6.4.0, 0.27 v6.3.0, 0.25 v6.2.0, 0.32 v6.1.0, 0.33 v6.0.0, 0.30 v5.5.0, 0.37 v5.4.0, 0.43 v5.3.0, 0.48 v5.2.0, 0.35 v5.1.0, 0.38 v5.0.0, 0.33 v4.1.0, 0.35 v4.0.1, 0.39 v4.0.0
% 0.93/1.00 % Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% 0.93/1.00 % Number of atoms : 23 ( 15 equ)
% 0.93/1.00 % Maximal formula atoms : 2 ( 1 avg)
% 0.93/1.00 % Number of connectives : 4 ( 0 ~; 0 |; 0 &)
% 0.93/1.00 % ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% 0.93/1.00 % Maximal formula depth : 5 ( 3 avg)
% 0.93/1.00 % Maximal term depth : 4 ( 2 avg)
% 0.93/1.00 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 0.93/1.00 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 0.93/1.00 % Number of variables : 35 ( 35 !; 0 ?)
% 0.93/1.00 % SPC : FOF_THM_RFO_SEQ
% 0.93/1.00
% 0.93/1.00 % Comments :
% 0.93/1.00 %------------------------------------------------------------------------------
% 0.93/1.00 %---Include axioms for demonic refinement algebra
% 0.93/1.00 include('Axioms/KLE004+0.ax').
% 0.93/1.00 %------------------------------------------------------------------------------
% 0.93/1.00 fof(goals,conjecture,
% 0.93/1.00 ! [X0] : leq(X0,strong_iteration(one)) ).
% 0.93/1.00
% 0.93/1.00 %------------------------------------------------------------------------------
% 0.93/1.00 %-------------------------------------------
% 0.93/1.00 % Proof found
% 0.93/1.00 % SZS status Theorem for theBenchmark
% 0.93/1.00 % SZS output start Proof
% 0.93/1.00 %ClaNum:31(EqnAxiom:11)
% 0.93/1.00 %VarNum:83(SingletonVarNum:36)
% 0.93/1.00 %MaxLitNum:2
% 0.93/1.00 %MaxfuncDepth:3
% 0.93/1.00 %SharedTerms:5
% 0.93/1.00 %goalClause: 26
% 0.93/1.00 %singleGoalClaCount:1
% 0.93/1.00 [26]~P1(a4,f6(a5))
% 0.93/1.00 [12]E(f2(a1,x121),a1)
% 0.93/1.00 [13]E(f3(x131,a1),x131)
% 0.93/1.00 [14]E(f2(x141,a5),x141)
% 0.93/1.00 [15]E(f2(a5,x151),x151)
% 0.93/1.00 [16]E(f3(x161,x161),x161)
% 0.93/1.00 [18]E(f3(f2(x181,f6(x181)),a5),f6(x181))
% 0.93/1.00 [19]E(f3(a5,f2(x191,f7(x191))),f7(x191))
% 0.93/1.00 [20]E(f3(a5,f2(f7(x201),x201)),f7(x201))
% 0.93/1.00 [21]E(f3(f7(x211),f2(f6(x211),a1)),f6(x211))
% 0.93/1.00 [17]E(f3(x171,x172),f3(x172,x171))
% 0.93/1.00 [22]E(f3(f3(x221,x222),x223),f3(x221,f3(x222,x223)))
% 0.93/1.00 [23]E(f2(f2(x231,x232),x233),f2(x231,f2(x232,x233)))
% 0.93/1.00 [24]E(f3(f2(x241,x242),f2(x241,x243)),f2(x241,f3(x242,x243)))
% 0.93/1.00 [25]E(f3(f2(x251,x252),f2(x253,x252)),f2(f3(x251,x253),x252))
% 0.93/1.00 [27]~P1(x271,x272)+E(f3(x271,x272),x272)
% 0.93/1.00 [28]P1(x281,x282)+~E(f3(x281,x282),x282)
% 0.93/1.00 [29]~P1(x291,f3(f2(x292,x291),x293))+P1(x291,f2(f6(x292),x293))
% 0.93/1.00 [30]~P1(f3(f2(x303,x302),x301),x303)+P1(f2(x301,f7(x302)),x303)
% 0.93/1.00 [31]~P1(f3(f2(x311,x313),x312),x313)+P1(f2(f7(x311),x312),x313)
% 0.93/1.00 %EqnAxiom
% 0.93/1.00 [1]E(x11,x11)
% 0.93/1.00 [2]E(x22,x21)+~E(x21,x22)
% 0.93/1.00 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.93/1.00 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.93/1.00 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.93/1.00 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 0.93/1.00 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 0.93/1.00 [8]~E(x81,x82)+E(f6(x81),f6(x82))
% 0.93/1.00 [9]~E(x91,x92)+E(f7(x91),f7(x92))
% 0.93/1.00 [10]P1(x102,x103)+~E(x101,x102)+~P1(x101,x103)
% 0.93/1.00 [11]P1(x113,x112)+~E(x111,x112)+~P1(x113,x111)
% 0.93/1.00
% 0.93/1.00 %-------------------------------------------
% 0.93/1.00 cnf(32,plain,
% 0.93/1.00 (E(x321,f3(x321,x321))),
% 0.93/1.00 inference(scs_inference,[],[16,2])).
% 0.93/1.00 cnf(33,plain,
% 0.93/1.00 (P1(x331,x331)),
% 0.93/1.00 inference(scs_inference,[],[16,2,28])).
% 0.93/1.00 cnf(35,plain,
% 0.93/1.00 (~E(a4,f6(a5))),
% 0.93/1.00 inference(scs_inference,[],[26,16,2,28,11])).
% 0.93/1.00 cnf(37,plain,
% 0.93/1.00 (E(f3(f3(a4,a4),a1),a4)),
% 0.93/1.00 inference(scs_inference,[],[26,16,13,2,28,11,10,3])).
% 0.93/1.00 cnf(38,plain,
% 0.93/1.00 (E(f3(x381,x381),x381)),
% 0.93/1.00 inference(rename_variables,[],[16])).
% 0.93/1.00 cnf(40,plain,
% 0.93/1.00 (E(f7(f3(x401,x401)),f7(x401))),
% 0.93/1.00 inference(scs_inference,[],[26,16,38,13,2,28,11,10,3,9])).
% 0.93/1.00 cnf(41,plain,
% 0.93/1.00 (E(f6(f3(x411,x411)),f6(x411))),
% 0.93/1.00 inference(scs_inference,[],[26,16,38,13,2,28,11,10,3,9,8])).
% 0.93/1.00 cnf(42,plain,
% 0.93/1.00 (E(f3(x421,f3(x422,x422)),f3(x421,x422))),
% 0.93/1.01 inference(scs_inference,[],[26,16,38,13,2,28,11,10,3,9,8,7])).
% 0.93/1.01 cnf(43,plain,
% 0.93/1.01 (E(f3(f3(x431,x431),x432),f3(x431,x432))),
% 0.93/1.01 inference(scs_inference,[],[26,16,38,13,2,28,11,10,3,9,8,7,6])).
% 0.93/1.01 cnf(44,plain,
% 0.93/1.01 (E(f2(x441,f3(x442,x442)),f2(x441,x442))),
% 0.93/1.01 inference(scs_inference,[],[26,16,38,13,2,28,11,10,3,9,8,7,6,5])).
% 0.93/1.01 cnf(45,plain,
% 0.93/1.01 (E(f2(f3(x451,x451),x452),f2(x451,x452))),
% 0.93/1.01 inference(scs_inference,[],[26,16,38,13,2,28,11,10,3,9,8,7,6,5,4])).
% 0.93/1.01 cnf(48,plain,
% 0.93/1.01 (~E(f6(a5),a4)),
% 0.93/1.01 inference(scs_inference,[],[35,2])).
% 0.93/1.01 cnf(49,plain,
% 0.93/1.01 (~E(f3(a4,f6(a5)),f6(a5))),
% 0.93/1.01 inference(scs_inference,[],[26,35,2,28])).
% 0.93/1.01 cnf(51,plain,
% 0.93/1.01 (~P1(a4,f2(f6(a5),a5))),
% 0.93/1.01 inference(scs_inference,[],[26,14,35,2,28,11])).
% 0.93/1.01 cnf(52,plain,
% 0.93/1.01 (E(f2(x521,a5),x521)),
% 0.93/1.01 inference(rename_variables,[],[14])).
% 0.93/1.01 cnf(53,plain,
% 0.93/1.01 (~P1(f2(a4,a5),f6(a5))),
% 0.93/1.01 inference(scs_inference,[],[26,14,52,35,2,28,11,10])).
% 0.93/1.01 cnf(55,plain,
% 0.93/1.01 (~E(f3(a4,a4),f6(a5))),
% 0.93/1.01 inference(scs_inference,[],[26,14,52,32,35,2,28,11,10,3])).
% 0.93/1.01 cnf(57,plain,
% 0.93/1.01 (~P1(a4,f3(f2(a5,a4),a5))),
% 0.93/1.01 inference(scs_inference,[],[26,14,52,32,35,2,28,11,10,3,29])).
% 0.93/1.01 cnf(59,plain,
% 0.93/1.01 (E(a1,f2(a1,x591))),
% 0.93/1.01 inference(scs_inference,[],[12,2])).
% 0.93/1.01 cnf(60,plain,
% 0.93/1.01 (P1(x601,f3(x601,x601))),
% 0.93/1.01 inference(scs_inference,[],[12,42,2,28])).
% 0.93/1.01 cnf(63,plain,
% 0.93/1.01 (P1(f2(a1,x631),a1)),
% 0.93/1.01 inference(scs_inference,[],[12,42,33,2,28,11])).
% 0.93/1.01 cnf(64,plain,
% 0.93/1.01 (P1(x641,x641)),
% 0.93/1.01 inference(rename_variables,[],[33])).
% 0.93/1.01 cnf(67,plain,
% 0.93/1.01 (E(f2(a1,x671),f3(a1,a1))),
% 0.93/1.01 inference(scs_inference,[],[12,32,42,33,64,2,28,11,10,3])).
% 0.93/1.01 cnf(69,plain,
% 0.93/1.01 (~E(f6(a5),f3(a4,f6(a5)))),
% 0.93/1.01 inference(scs_inference,[],[49,2])).
% 0.93/1.01 cnf(70,plain,
% 0.93/1.01 (~E(f3(a4,a4),f3(f2(a5,a4),a5))),
% 0.93/1.01 inference(scs_inference,[],[60,49,57,2,11])).
% 0.93/1.01 cnf(71,plain,
% 0.93/1.01 (P1(x711,f3(x711,x711))),
% 0.93/1.01 inference(rename_variables,[],[60])).
% 0.93/1.01 cnf(74,plain,
% 0.93/1.01 (~E(f3(a4,f3(f2(a5,a4),a5)),f3(f2(a5,a4),a5))),
% 0.93/1.01 inference(scs_inference,[],[12,60,71,49,57,2,11,10,28])).
% 0.93/1.01 cnf(78,plain,
% 0.93/1.01 (P1(a1,f2(f6(a1),f2(a1,a1)))),
% 0.93/1.01 inference(scs_inference,[],[12,15,60,71,49,57,2,11,10,28,3,29])).
% 0.93/1.01 cnf(81,plain,
% 0.93/1.01 (~P1(f3(f2(a4,a5),a1),f6(a5))),
% 0.93/1.01 inference(scs_inference,[],[13,53,2,10])).
% 0.93/1.01 cnf(82,plain,
% 0.93/1.01 (E(f3(x821,a1),x821)),
% 0.93/1.01 inference(rename_variables,[],[13])).
% 0.93/1.01 cnf(83,plain,
% 0.93/1.01 (~P1(f2(a4,a5),f3(f6(a5),a1))),
% 0.93/1.01 inference(scs_inference,[],[13,82,53,2,10,11])).
% 0.93/1.01 cnf(84,plain,
% 0.93/1.01 (E(f3(x841,a1),x841)),
% 0.93/1.01 inference(rename_variables,[],[13])).
% 0.93/1.01 cnf(85,plain,
% 0.93/1.01 (~E(f3(f3(f2(a5,a4),a5),a4),f3(f2(a5,a4),a5))),
% 0.93/1.01 inference(scs_inference,[],[13,82,17,74,53,2,10,11,3])).
% 0.93/1.01 cnf(92,plain,
% 0.93/1.01 (E(f2(x921,f3(x922,a1)),f2(x921,x922))),
% 0.93/1.01 inference(scs_inference,[],[13,82,84,17,74,78,53,2,10,11,3,27,9,8,6,5])).
% 0.93/1.01 cnf(95,plain,
% 0.93/1.01 (~E(f3(f2(a4,a5),f6(a5)),f6(a5))),
% 0.93/1.01 inference(scs_inference,[],[13,82,84,17,74,78,53,2,10,11,3,27,9,8,6,5,7,4,28])).
% 0.93/1.01 cnf(98,plain,
% 0.93/1.01 (P1(f3(x981,a1),x981)),
% 0.93/1.01 inference(scs_inference,[],[13,33,70,2,11])).
% 0.93/1.01 cnf(106,plain,
% 0.93/1.01 (P1(x1061,x1061)),
% 0.93/1.01 inference(rename_variables,[],[33])).
% 0.93/1.01 cnf(109,plain,
% 0.93/1.01 (~E(a4,f2(f6(a5),a5))),
% 0.93/1.01 inference(scs_inference,[],[14,33,106,35,81,2,10,11,3])).
% 0.93/1.01 cnf(111,plain,
% 0.93/1.01 (~E(f3(f2(a5,a4),a5),f3(f3(f2(a5,a4),a5),a4))),
% 0.93/1.01 inference(scs_inference,[],[85,2])).
% 0.93/1.01 cnf(112,plain,
% 0.93/1.01 (~P1(f2(a4,a5),f2(f3(f6(a5),a1),a5))),
% 0.93/1.01 inference(scs_inference,[],[14,85,83,2,11])).
% 0.93/1.01 cnf(113,plain,
% 0.93/1.01 (E(f2(x1131,a5),x1131)),
% 0.93/1.01 inference(rename_variables,[],[14])).
% 0.93/1.01 cnf(114,plain,
% 0.93/1.01 (~P1(f2(f2(a4,a5),a5),f3(f6(a5),a1))),
% 0.93/1.01 inference(scs_inference,[],[14,113,85,83,2,11,10])).
% 0.93/1.01 cnf(119,plain,
% 0.93/1.01 (P1(x1191,f2(a5,x1191))),
% 0.93/1.01 inference(scs_inference,[],[15,33,2,10])).
% 0.93/1.01 cnf(120,plain,
% 0.93/1.01 (P1(x1201,x1201)),
% 0.93/1.01 inference(rename_variables,[],[33])).
% 0.93/1.01 cnf(121,plain,
% 0.93/1.01 (P1(f2(a5,x1211),x1211)),
% 0.93/1.01 inference(scs_inference,[],[15,33,120,2,10,11])).
% 0.93/1.01 cnf(124,plain,
% 0.93/1.01 (E(f2(a5,x1241),x1241)),
% 0.93/1.01 inference(rename_variables,[],[15])).
% 0.93/1.01 cnf(133,plain,
% 0.93/1.01 (~E(f3(a4,f2(f6(a5),a5)),f2(f6(a5),a5))),
% 0.93/1.01 inference(scs_inference,[],[15,124,23,33,120,98,51,2,10,11,3,27,9,8,5,7,6,4,28])).
% 0.93/1.01 cnf(143,plain,
% 0.93/1.01 (~P1(f3(f2(a4,a5),f2(a4,a5)),f2(f3(f6(a5),a1),a5))),
% 0.93/1.01 inference(scs_inference,[],[16,37,112,2,10])).
% 0.93/1.01 cnf(150,plain,
% 0.93/1.01 (P1(f6(x1501),f3(f2(x1501,f6(x1501)),a5))),
% 0.93/1.01 inference(scs_inference,[],[18,33,55,2,10])).
% 0.93/1.01 cnf(151,plain,
% 0.93/1.01 (P1(x1511,x1511)),
% 0.93/1.01 inference(rename_variables,[],[33])).
% 0.93/1.01 cnf(152,plain,
% 0.93/1.01 (P1(f3(x1521,x1521),x1521)),
% 0.93/1.01 inference(scs_inference,[],[16,18,33,151,55,2,10,11])).
% 0.93/1.01 cnf(157,plain,
% 0.93/1.01 (~E(f3(f2(a4,a5),f2(a4,a5)),f2(f3(f6(a5),a1),a5))),
% 0.93/1.01 inference(scs_inference,[],[40,33,143,2,11])).
% 0.93/1.01 cnf(158,plain,
% 0.93/1.01 (P1(x1581,x1581)),
% 0.93/1.01 inference(rename_variables,[],[33])).
% 0.93/1.01 cnf(160,plain,
% 0.93/1.01 (E(f3(x1601,x1602),f3(x1602,x1601))),
% 0.93/1.01 inference(rename_variables,[],[17])).
% 0.93/1.01 cnf(173,plain,
% 0.93/1.01 (~E(f3(f3(f2(a4,a5),a1),f6(a5)),f6(a5))),
% 0.93/1.01 inference(scs_inference,[],[17,160,40,33,158,152,150,111,143,81,2,11,3,10,29,27,9,8,7,6,5,4,28])).
% 0.93/1.01 cnf(176,plain,
% 0.93/1.01 (~E(f3(f2(f6(a5),a5),a4),f2(f6(a5),a5))),
% 0.93/1.01 inference(scs_inference,[],[17,133,2,3])).
% 0.93/1.01 cnf(177,plain,
% 0.93/1.01 (E(f3(x1771,x1772),f3(x1772,x1771))),
% 0.93/1.01 inference(rename_variables,[],[17])).
% 0.93/1.01 cnf(178,plain,
% 0.93/1.01 (~P1(f3(f3(a4,a4),a1),f3(f2(a5,a4),a5))),
% 0.93/1.01 inference(scs_inference,[],[17,37,133,57,2,3,10])).
% 0.93/1.01 cnf(179,plain,
% 0.93/1.01 (~P1(f2(f2(a4,a5),a5),f3(a1,f6(a5)))),
% 0.93/1.01 inference(scs_inference,[],[17,177,37,133,114,57,2,3,10,11])).
% 0.93/1.01 cnf(183,plain,
% 0.93/1.01 (P1(x1831,x1831)),
% 0.93/1.01 inference(rename_variables,[],[33])).
% 0.93/1.01 cnf(184,plain,
% 0.93/1.01 (P1(f3(f2(x1841,f6(x1841)),a5),f6(x1841))),
% 0.93/1.01 inference(scs_inference,[],[18,41,33,183,2,10,11])).
% 0.93/1.01 cnf(186,plain,
% 0.93/1.01 (E(f6(f3(x1861,x1861)),f3(f6(x1861),f6(x1861)))),
% 0.93/1.01 inference(scs_inference,[],[18,41,32,33,183,2,10,11,3])).
% 0.93/1.01 cnf(188,plain,
% 0.93/1.01 (P1(f2(f7(x1881),a5),f6(x1881))),
% 0.93/1.01 inference(scs_inference,[],[184,31])).
% 0.93/1.01 cnf(191,plain,
% 0.93/1.01 (~E(f3(f3(a4,a4),a1),f3(f2(a5,a4),a5))),
% 0.93/1.01 inference(scs_inference,[],[33,184,178,173,31,2,11])).
% 0.93/1.01 cnf(197,plain,
% 0.93/1.01 (E(f3(f2(x1971,f7(x1972)),x1973),x1973)+~P1(f3(f2(x1973,x1972),x1971),x1973)),
% 0.93/1.01 inference(scs_inference,[],[30,27])).
% 0.93/1.01 cnf(199,plain,
% 0.93/1.01 (~P1(f2(f2(a4,a5),a5),f3(f3(a1,a1),f6(a5)))),
% 0.93/1.01 inference(scs_inference,[],[19,43,179,2,11])).
% 0.93/1.01 cnf(203,plain,
% 0.93/1.01 (~P1(f3(f3(a4,a4),a1),f2(f6(a5),a5))),
% 0.93/1.01 inference(scs_inference,[],[19,43,37,32,48,179,51,2,11,3,10])).
% 0.93/1.01 cnf(217,plain,
% 0.93/1.01 (P1(f3(a5,f2(x2171,f7(x2171))),f7(x2171))),
% 0.93/1.01 inference(scs_inference,[],[19,20,40,33,176,2,3,11])).
% 0.93/1.01 cnf(222,plain,
% 0.93/1.01 (~E(f3(f3(a4,a4),a1),f2(f6(a5),a5))),
% 0.93/1.01 inference(scs_inference,[],[20,33,203,2,11])).
% 0.93/1.01 cnf(224,plain,
% 0.93/1.01 (~E(a4,f2(f6(a5),f3(a5,a5)))),
% 0.93/1.01 inference(scs_inference,[],[20,44,33,203,109,2,11,3])).
% 0.93/1.01 cnf(229,plain,
% 0.93/1.01 (~E(f3(a4,a1),f3(f2(a5,a4),a5))),
% 0.93/1.01 inference(scs_inference,[],[43,191,95,2,3])).
% 0.93/1.01 cnf(231,plain,
% 0.93/1.01 (~P1(f2(f2(a4,a5),f3(a5,a5)),f3(f3(a1,a1),f6(a5)))),
% 0.93/1.01 inference(scs_inference,[],[43,44,191,95,199,2,3,10])).
% 0.93/1.01 cnf(235,plain,
% 0.93/1.01 (E(f6(x2351),f3(f7(x2351),f2(f6(x2351),a1)))),
% 0.93/1.01 inference(scs_inference,[],[21,2])).
% 0.93/1.01 cnf(237,plain,
% 0.93/1.01 (P1(x2371,x2371)),
% 0.93/1.01 inference(rename_variables,[],[33])).
% 0.93/1.01 cnf(238,plain,
% 0.93/1.01 (P1(f3(f7(x2381),f2(f6(x2381),a1)),f6(x2381))),
% 0.93/1.01 inference(scs_inference,[],[21,33,237,2,10,11])).
% 0.93/1.01 cnf(241,plain,
% 0.93/1.01 (E(f2(f3(x2411,x2411),x2412),f2(x2411,x2412))),
% 0.93/1.01 inference(rename_variables,[],[45])).
% 0.93/1.01 cnf(249,plain,
% 0.93/1.01 (E(f2(f2(f3(x2491,x2491),x2492),x2493),f2(f2(x2491,x2492),x2493))),
% 0.93/1.01 inference(scs_inference,[],[21,45,241,23,33,237,217,2,10,11,3,27,9,8,7,6,5,4])).
% 0.93/1.01 cnf(257,plain,
% 0.93/1.01 (E(f3(x2571,f3(x2572,x2573)),f3(f3(x2571,x2572),x2573))),
% 0.93/1.01 inference(scs_inference,[],[22,2])).
% 0.93/1.01 cnf(262,plain,
% 0.93/1.01 (~P1(f2(f2(a4,a5),f3(a5,a5)),f3(f3(a1,a1),f3(f6(a5),f6(a5))))),
% 0.93/1.01 inference(scs_inference,[],[22,45,42,222,231,179,2,3,10,11])).
% 0.93/1.01 cnf(274,plain,
% 0.93/1.01 (P1(x2741,x2741)),
% 0.93/1.01 inference(rename_variables,[],[33])).
% 0.93/1.01 cnf(283,plain,
% 0.93/1.01 (E(f3(x2831,f7(f3(x2832,x2832))),f3(x2831,f7(x2832)))),
% 0.93/1.01 inference(scs_inference,[],[23,24,40,33,274,238,262,224,2,11,3,10,27,9,8,7])).
% 0.93/1.01 cnf(288,plain,
% 0.93/1.01 (~E(f3(f3(a4,f6(a5)),f3(a4,f6(a5))),f6(a5))),
% 0.93/1.01 inference(scs_inference,[],[49,32,229,2,3])).
% 0.93/1.01 cnf(302,plain,
% 0.93/1.01 (~E(f3(f2(a4,a5),f2(a4,a5)),f3(f2(f6(a5),a5),f2(a1,a5)))),
% 0.93/1.01 inference(scs_inference,[],[25,288,157,2,3])).
% 0.93/1.01 cnf(313,plain,
% 0.93/1.01 (~P1(f2(a4,a5),f6(f3(a5,a5)))),
% 0.93/1.01 inference(scs_inference,[],[25,41,45,53,302,2,3,10,11])).
% 0.93/1.01 cnf(332,plain,
% 0.93/1.01 (E(f6(x3321),f6(f3(x3321,x3321)))),
% 0.93/1.01 inference(scs_inference,[],[41,2])).
% 0.93/1.01 cnf(333,plain,
% 0.93/1.01 (~E(f3(a4,a4),f6(f3(a5,a5)))),
% 0.93/1.01 inference(scs_inference,[],[55,41,2,3])).
% 0.93/1.01 cnf(339,plain,
% 0.93/1.01 (E(f3(f2(f2(a5,a5),f7(a5)),a5),a5)),
% 0.93/1.01 inference(scs_inference,[],[32,121,197,10])).
% 0.93/1.01 cnf(342,plain,
% 0.93/1.01 (~E(f6(f3(a5,a5)),f3(a4,a4))),
% 0.93/1.01 inference(scs_inference,[],[333,339,28,2])).
% 0.93/1.01 cnf(351,plain,
% 0.93/1.01 (~E(f3(f2(a4,a5),f6(f3(a5,a5))),f6(f3(a5,a5)))),
% 0.93/1.01 inference(scs_inference,[],[313,28])).
% 0.93/1.01 cnf(357,plain,
% 0.93/1.01 (P1(x3571,x3571)),
% 0.93/1.01 inference(rename_variables,[],[33])).
% 0.93/1.01 cnf(360,plain,
% 0.93/1.01 (E(f3(x3601,f2(a5,x3601)),f2(a5,x3601))),
% 0.93/1.01 inference(scs_inference,[],[33,357,57,37,42,313,119,28,2,3,10,11,27])).
% 0.93/1.01 cnf(369,plain,
% 0.93/1.01 (~E(f6(f3(a5,a5)),f3(f3(a4,a4),a4))),
% 0.93/1.01 inference(scs_inference,[],[43,342,351,2,3])).
% 0.93/1.01 cnf(386,plain,
% 0.93/1.01 (E(f6(f3(f3(x3861,x3861),f3(x3861,x3861))),f3(f6(x3861),f6(x3861)))),
% 0.93/1.01 inference(scs_inference,[],[41,186,369,2,3])).
% 0.93/1.01 cnf(391,plain,
% 0.93/1.01 (~E(f7(a5),a4)),
% 0.93/1.01 inference(scs_inference,[],[59,41,53,186,369,188,63,2,3,10,11,4])).
% 0.93/1.01 cnf(425,plain,
% 0.93/1.01 (E(f7(f3(x4251,x4251)),f7(x4251))),
% 0.93/1.01 inference(rename_variables,[],[40])).
% 0.93/1.01 cnf(426,plain,
% 0.93/1.01 (P1(f7(x4261),f3(f7(f3(x4261,x4261)),f7(f3(x4261,x4261))))),
% 0.93/1.01 inference(scs_inference,[],[40,425,60,391,2,3,10])).
% 0.93/1.01 cnf(434,plain,
% 0.93/1.01 (~P1(f2(a4,f3(a5,a5)),f6(a5))),
% 0.93/1.01 inference(scs_inference,[],[48,44,53,386,332,2,3,10])).
% 0.93/1.01 cnf(455,plain,
% 0.93/1.01 (E(f3(x4551,f3(x4552,x4552)),f3(x4551,x4552))),
% 0.93/1.01 inference(rename_variables,[],[42])).
% 0.93/1.01 cnf(461,plain,
% 0.93/1.01 (~E(f3(f2(a4,f3(a5,a5)),f6(a5)),f6(a5))),
% 0.93/1.01 inference(scs_inference,[],[42,455,67,60,426,283,69,434,2,3,10,11,28])).
% 0.93/1.01 cnf(530,plain,
% 0.93/1.01 (~E(f3(f7(a5),f2(f6(a5),a1)),f3(a4,f6(a5)))),
% 0.93/1.01 inference(scs_inference,[],[69,461,235,2,3])).
% 0.93/1.01 cnf(591,plain,
% 0.93/1.01 ($false),
% 0.93/1.01 inference(scs_inference,[],[51,74,249,257,530,92,360,231,2,3,10,11,29,6]),
% 0.93/1.01 ['proof']).
% 0.93/1.01 % SZS output end Proof
% 0.93/1.01 % Total time :0.380000s
%------------------------------------------------------------------------------