TSTP Solution File: SET173+3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET173+3 : TPTP v8.1.2. Released v2.2.0.
% 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 14:29:04 EDT 2023
% Result : Theorem 122.28s 122.47s
% Output : CNFRefutation 122.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET173+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 16:21:07 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 122.28/122.45 %-------------------------------------------
% 122.28/122.45 % File :CSE---1.6
% 122.28/122.45 % Problem :theBenchmark
% 122.28/122.45 % Transform :cnf
% 122.28/122.45 % Format :tptp:raw
% 122.28/122.45 % Command :java -jar mcs_scs.jar %d %s
% 122.28/122.45
% 122.28/122.45 % Result :Theorem 121.850000s
% 122.28/122.45 % Output :CNFRefutation 121.850000s
% 122.28/122.45 %-------------------------------------------
% 122.28/122.46 %--------------------------------------------------------------------------
% 122.28/122.46 % File : SET173+3 : TPTP v8.1.2. Released v2.2.0.
% 122.28/122.46 % Domain : Set Theory
% 122.28/122.46 % Problem : Absorbtion for intersection
% 122.28/122.46 % Version : [Try90] axioms : Reduced > Incomplete.
% 122.28/122.46 % English : The intersection of X and the union of X and Y is X.
% 122.28/122.46
% 122.28/122.46 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 122.28/122.46 % : [Try90] Trybulec (1990), Tarski Grothendieck Set Theory
% 122.28/122.46 % : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 122.28/122.46 % Source : [ILF]
% 122.28/122.46 % Names : BOOLE (68) [TS89]
% 122.28/122.46
% 122.28/122.46 % Status : Theorem
% 122.28/122.46 % Rating : 0.19 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.13 v7.3.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.13 v7.0.0, 0.17 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.16 v6.1.0, 0.27 v6.0.0, 0.30 v5.5.0, 0.26 v5.4.0, 0.36 v5.3.0, 0.37 v5.2.0, 0.20 v5.1.0, 0.19 v5.0.0, 0.29 v4.1.0, 0.26 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.2.0, 0.18 v3.1.0, 0.22 v2.7.0, 0.00 v2.6.0, 0.14 v2.5.0, 0.12 v2.4.0, 0.00 v2.2.1
% 122.28/122.46 % Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% 122.28/122.46 % Number of atoms : 19 ( 5 equ)
% 122.28/122.46 % Maximal formula atoms : 3 ( 2 avg)
% 122.28/122.46 % Number of connectives : 10 ( 0 ~; 1 |; 2 &)
% 122.28/122.46 % ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% 122.28/122.46 % Maximal formula depth : 6 ( 4 avg)
% 122.28/122.46 % Maximal term depth : 3 ( 1 avg)
% 122.28/122.46 % Number of predicates : 3 ( 2 usr; 0 prp; 2-2 aty)
% 122.28/122.46 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 122.28/122.46 % Number of variables : 21 ( 21 !; 0 ?)
% 122.28/122.46 % SPC : FOF_THM_RFO_SEQ
% 122.28/122.46
% 122.28/122.46 % Comments :
% 122.28/122.46 %--------------------------------------------------------------------------
% 122.28/122.46 %---- line(boole - df(2),1833042)
% 122.28/122.46 fof(union_defn,axiom,
% 122.28/122.46 ! [B,C,D] :
% 122.28/122.46 ( member(D,union(B,C))
% 122.28/122.46 <=> ( member(D,B)
% 122.28/122.46 | member(D,C) ) ) ).
% 122.28/122.46
% 122.28/122.46 %---- line(boole - df(3),1833060)
% 122.28/122.46 fof(intersection_defn,axiom,
% 122.28/122.46 ! [B,C,D] :
% 122.28/122.46 ( member(D,intersection(B,C))
% 122.28/122.46 <=> ( member(D,B)
% 122.28/122.46 & member(D,C) ) ) ).
% 122.28/122.46
% 122.28/122.46 %---- line(boole - df(8),1833103)
% 122.28/122.46 fof(equal_defn,axiom,
% 122.28/122.46 ! [B,C] :
% 122.28/122.46 ( B = C
% 122.28/122.46 <=> ( subset(B,C)
% 122.28/122.46 & subset(C,B) ) ) ).
% 122.28/122.46
% 122.28/122.46 %---- property(commutativity,op(union,2,function))
% 122.28/122.46 fof(commutativity_of_union,axiom,
% 122.28/122.46 ! [B,C] : union(B,C) = union(C,B) ).
% 122.28/122.46
% 122.28/122.46 %---- property(commutativity,op(intersection,2,function))
% 122.28/122.46 fof(commutativity_of_intersection,axiom,
% 122.28/122.46 ! [B,C] : intersection(B,C) = intersection(C,B) ).
% 122.28/122.46
% 122.28/122.46 %---- line(tarski - df(3),1832749)
% 122.28/122.46 fof(subset_defn,axiom,
% 122.28/122.46 ! [B,C] :
% 122.28/122.46 ( subset(B,C)
% 122.28/122.46 <=> ! [D] :
% 122.28/122.46 ( member(D,B)
% 122.28/122.46 => member(D,C) ) ) ).
% 122.28/122.46
% 122.28/122.46 %---- property(reflexivity,op(subset,2,predicate))
% 122.28/122.46 fof(reflexivity_of_subset,axiom,
% 122.28/122.46 ! [B] : subset(B,B) ).
% 122.28/122.47
% 122.28/122.47 %---- line(hidden - axiom110,1832615)
% 122.28/122.47 fof(equal_member_defn,axiom,
% 122.28/122.47 ! [B,C] :
% 122.28/122.47 ( B = C
% 122.28/122.47 <=> ! [D] :
% 122.28/122.47 ( member(D,B)
% 122.28/122.47 <=> member(D,C) ) ) ).
% 122.28/122.47
% 122.28/122.47 %---- line(boole - th(68),1833762)
% 122.28/122.47 fof(prove_absorbtion_for_intersection,conjecture,
% 122.28/122.47 ! [B,C] : intersection(B,union(B,C)) = B ).
% 122.28/122.47
% 122.28/122.47 %--------------------------------------------------------------------------
% 122.28/122.47 %-------------------------------------------
% 122.28/122.47 % Proof found
% 122.28/122.47 % SZS status Theorem for theBenchmark
% 122.28/122.47 % SZS output start Proof
% 122.28/122.47 %ClaNum:33(EqnAxiom:15)
% 122.28/122.47 %VarNum:86(SingletonVarNum:38)
% 122.28/122.47 %MaxLitNum:3
% 122.28/122.47 %MaxfuncDepth:2
% 122.28/122.47 %SharedTerms:5
% 122.28/122.47 %goalClause: 19
% 122.28/122.47 %singleGoalClaCount:1
% 122.28/122.47 [19]~E(f2(a3,f1(a3,a6)),a3)
% 122.28/122.47 [16]P1(x161,x161)
% 122.28/122.47 [17]E(f1(x171,x172),f1(x172,x171))
% 122.28/122.47 [18]E(f2(x181,x182),f2(x182,x181))
% 122.28/122.47 [21]~E(x211,x212)+P1(x211,x212)
% 122.28/122.47 [23]P1(x231,x232)+P2(f4(x231,x232),x231)
% 122.28/122.47 [29]P1(x291,x292)+~P2(f4(x291,x292),x292)
% 122.28/122.47 [25]~P2(x251,x253)+P2(x251,f1(x252,x253))
% 122.28/122.47 [26]~P2(x261,x262)+P2(x261,f1(x262,x263))
% 122.28/122.47 [27]P2(x271,x272)+~P2(x271,f2(x273,x272))
% 122.28/122.47 [28]P2(x281,x282)+~P2(x281,f2(x282,x283))
% 122.28/122.47 [22]~P1(x222,x221)+~P1(x221,x222)+E(x221,x222)
% 122.28/122.47 [30]E(x301,x302)+P2(f5(x301,x302),x302)+P2(f5(x301,x302),x301)
% 122.28/122.47 [33]E(x331,x332)+~P2(f5(x331,x332),x332)+~P2(f5(x331,x332),x331)
% 122.28/122.47 [24]~P1(x243,x242)+P2(x241,x242)+~P2(x241,x243)
% 122.28/122.47 [31]~P2(x311,x313)+~P2(x311,x312)+P2(x311,f2(x312,x313))
% 122.28/122.47 [32]P2(x321,x322)+P2(x321,x323)+~P2(x321,f1(x323,x322))
% 122.28/122.47 %EqnAxiom
% 122.28/122.47 [1]E(x11,x11)
% 122.28/122.47 [2]E(x22,x21)+~E(x21,x22)
% 122.28/122.47 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 122.28/122.47 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 122.28/122.47 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 122.28/122.47 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 122.28/122.47 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 122.28/122.47 [8]~E(x81,x82)+E(f2(x81,x83),f2(x82,x83))
% 122.28/122.47 [9]~E(x91,x92)+E(f2(x93,x91),f2(x93,x92))
% 122.28/122.47 [10]~E(x101,x102)+E(f4(x101,x103),f4(x102,x103))
% 122.28/122.47 [11]~E(x111,x112)+E(f4(x113,x111),f4(x113,x112))
% 122.28/122.47 [12]P1(x122,x123)+~E(x121,x122)+~P1(x121,x123)
% 122.28/122.47 [13]P1(x133,x132)+~E(x131,x132)+~P1(x133,x131)
% 122.28/122.47 [14]P2(x142,x143)+~E(x141,x142)+~P2(x141,x143)
% 122.28/122.47 [15]P2(x153,x152)+~E(x151,x152)+~P2(x153,x151)
% 122.28/122.47
% 122.28/122.47 %-------------------------------------------
% 122.28/122.49 cnf(35,plain,
% 122.28/122.49 (P1(x351,x351)),
% 122.28/122.49 inference(rename_variables,[],[16])).
% 122.28/122.49 cnf(37,plain,
% 122.28/122.49 (P1(f2(x371,x372),f2(x372,x371))),
% 122.28/122.49 inference(scs_inference,[],[19,16,17,18,13,2,21])).
% 122.28/122.49 cnf(40,plain,
% 122.28/122.49 (E(f4(f1(x401,x402),x403),f4(f1(x402,x401),x403))),
% 122.28/122.49 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10])).
% 122.28/122.49 cnf(41,plain,
% 122.28/122.49 (E(f2(x411,f1(x412,x413)),f2(x411,f1(x413,x412)))),
% 122.28/122.49 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10,9])).
% 122.28/122.49 cnf(42,plain,
% 122.28/122.49 (E(f2(f1(x421,x422),x423),f2(f1(x422,x421),x423))),
% 122.28/122.49 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10,9,8])).
% 122.28/122.49 cnf(43,plain,
% 122.28/122.49 (E(f5(x431,f1(x432,x433)),f5(x431,f1(x433,x432)))),
% 122.28/122.49 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10,9,8,7])).
% 122.28/122.49 cnf(44,plain,
% 122.28/122.49 (E(f5(f1(x441,x442),x443),f5(f1(x442,x441),x443))),
% 122.28/122.49 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10,9,8,7,6])).
% 122.28/122.49 cnf(45,plain,
% 122.28/122.49 (E(f1(x451,f1(x452,x453)),f1(x451,f1(x453,x452)))),
% 122.28/122.49 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10,9,8,7,6,5])).
% 122.28/122.49 cnf(47,plain,
% 122.28/122.49 (~E(f2(f1(a3,a6),a3),a3)),
% 122.28/122.49 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10,9,8,7,6,5,4,3])).
% 122.28/122.49 cnf(51,plain,
% 122.28/122.49 (~P2(x511,x512)+P2(x511,f2(x512,x512))),
% 122.28/122.49 inference(scs_inference,[],[19,16,35,17,18,13,2,21,11,10,9,8,7,6,5,4,3,24,31])).
% 122.28/122.49 cnf(70,plain,
% 122.28/122.49 (E(f5(f2(x701,x702),x703),f5(f2(x702,x701),x703))),
% 122.28/122.49 inference(scs_inference,[],[18,11,6])).
% 122.28/122.49 cnf(71,plain,
% 122.28/122.49 (E(f1(f2(x711,x712),x713),f1(f2(x712,x711),x713))),
% 122.28/122.49 inference(scs_inference,[],[18,11,6,4])).
% 122.28/122.49 cnf(72,plain,
% 122.28/122.49 (P1(f2(x721,f1(x722,x723)),f2(x721,f1(x723,x722)))),
% 122.28/122.49 inference(scs_inference,[],[18,41,11,6,4,21])).
% 122.28/122.49 cnf(76,plain,
% 122.28/122.49 (E(f2(x761,f2(x762,x763)),f2(x761,f2(x763,x762)))),
% 122.28/122.49 inference(scs_inference,[],[18,47,41,11,6,4,21,2,10,9])).
% 122.28/122.49 cnf(77,plain,
% 122.28/122.49 (E(f2(f2(x771,x772),x773),f2(f2(x772,x771),x773))),
% 122.28/122.49 inference(scs_inference,[],[18,47,41,11,6,4,21,2,10,9,8])).
% 122.28/122.49 cnf(78,plain,
% 122.28/122.49 (E(f5(x781,f2(x782,x783)),f5(x781,f2(x783,x782)))),
% 122.28/122.49 inference(scs_inference,[],[18,47,41,11,6,4,21,2,10,9,8,7])).
% 122.28/122.49 cnf(81,plain,
% 122.28/122.49 (P1(f2(x811,f1(x812,x813)),f2(x811,f1(x813,x812)))),
% 122.28/122.49 inference(rename_variables,[],[72])).
% 122.28/122.49 cnf(82,plain,
% 122.28/122.49 (E(f2(x821,x822),f2(x822,x821))),
% 122.28/122.49 inference(rename_variables,[],[18])).
% 122.28/122.49 cnf(83,plain,
% 122.28/122.49 (P1(f2(f1(x831,x832),x833),f2(x833,f1(x832,x831)))),
% 122.28/122.49 inference(scs_inference,[],[18,82,72,81,13,12])).
% 122.28/122.49 cnf(112,plain,
% 122.28/122.49 (P1(f2(f2(x1121,x1122),x1123),f2(x1123,f2(x1122,x1121)))),
% 122.28/122.49 inference(scs_inference,[],[37,76,13])).
% 122.28/122.49 cnf(113,plain,
% 122.28/122.49 (P1(f2(x1131,x1132),f2(x1132,x1131))),
% 122.28/122.49 inference(rename_variables,[],[37])).
% 122.28/122.49 cnf(114,plain,
% 122.28/122.49 (P1(f2(x1141,f2(x1142,x1143)),f2(f2(x1143,x1142),x1141))),
% 122.28/122.49 inference(scs_inference,[],[37,113,76,13,12])).
% 122.28/122.49 cnf(121,plain,
% 122.28/122.49 (P1(f4(f1(x1211,x1212),x1213),f4(f1(x1212,x1211),x1213))),
% 122.28/122.49 inference(scs_inference,[],[40,21])).
% 122.28/122.49 cnf(125,plain,
% 122.28/122.49 (P1(f5(x1251,f2(x1252,x1253)),f5(x1251,f2(x1253,x1252)))),
% 122.28/122.49 inference(scs_inference,[],[78,16,12])).
% 122.28/122.49 cnf(142,plain,
% 122.28/122.49 (P1(f2(f1(x1421,x1422),f2(x1423,x1424)),f2(f2(x1424,x1423),f1(x1422,x1421)))),
% 122.28/122.49 inference(scs_inference,[],[43,41,114,21,13])).
% 122.28/122.49 cnf(149,plain,
% 122.28/122.49 (P1(f2(f2(x1491,x1492),x1493),f2(x1493,f2(x1492,x1491)))),
% 122.28/122.49 inference(rename_variables,[],[112])).
% 122.28/122.49 cnf(152,plain,
% 122.28/122.49 (P1(f2(f2(x1521,x1522),f1(x1523,x1524)),f2(f1(x1524,x1523),f2(x1522,x1521)))),
% 122.28/122.49 inference(scs_inference,[],[41,112,149,142,22,2,12])).
% 122.28/122.49 cnf(167,plain,
% 122.28/122.49 (P1(f2(f1(x1671,x1672),x1673),f2(f1(x1672,x1671),x1673))),
% 122.28/122.49 inference(scs_inference,[],[42,44,125,13,21])).
% 122.28/122.49 cnf(205,plain,
% 122.28/122.49 (P1(f2(f2(x2051,x2052),f1(x2053,x2054)),f2(f2(x2052,x2051),f1(x2054,x2053)))),
% 122.28/122.49 inference(scs_inference,[],[77,72,12])).
% 122.28/122.49 cnf(237,plain,
% 122.28/122.49 (P1(f1(f2(x2371,x2372),x2373),f1(f2(x2372,x2371),x2373))),
% 122.28/122.49 inference(scs_inference,[],[71,21])).
% 122.28/122.49 cnf(258,plain,
% 122.28/122.49 (~P2(x2581,f2(x2582,f1(x2583,x2584)))+P2(x2581,f2(x2582,f1(x2584,x2583)))),
% 122.28/122.49 inference(scs_inference,[],[72,237,45,12,24])).
% 122.28/122.49 cnf(263,plain,
% 122.28/122.49 (P2(x2631,f2(f2(x2632,f1(x2633,x2634)),f2(x2632,f1(x2633,x2634))))+~P2(x2631,f2(x2632,f1(x2634,x2633)))),
% 122.28/122.49 inference(scs_inference,[],[258,51])).
% 122.28/122.49 cnf(291,plain,
% 122.28/122.49 (~P2(x2911,f2(f1(x2912,x2913),x2914))+P2(x2911,f2(x2914,f1(x2913,x2912)))),
% 122.28/122.49 inference(scs_inference,[],[83,24])).
% 122.28/122.49 cnf(305,plain,
% 122.28/122.49 (P1(f2(f2(x3051,x3052),f2(x3053,x3054)),f2(f2(x3054,x3053),f2(x3052,x3051)))),
% 122.28/122.49 inference(scs_inference,[],[112,76,12])).
% 122.28/122.49 cnf(314,plain,
% 122.28/122.49 (E(f2(f2(x3141,x3142),f1(x3143,x3144)),f2(f1(x3144,x3143),f2(x3142,x3141)))),
% 122.28/122.49 inference(scs_inference,[],[142,152,22])).
% 122.28/122.49 cnf(322,plain,
% 122.28/122.49 (~P2(x3221,f2(f2(x3222,x3223),f1(x3224,x3225)))+P2(x3221,f2(f1(x3225,x3224),f2(x3223,x3222)))),
% 122.28/122.49 inference(scs_inference,[],[121,314,24,15])).
% 122.28/122.49 cnf(325,plain,
% 122.28/122.49 (~P2(x3251,f2(f2(x3252,x3253),f1(x3254,x3255)))+P2(x3251,f2(x3253,x3252))),
% 122.28/122.49 inference(scs_inference,[],[322,27])).
% 122.28/122.49 cnf(326,plain,
% 122.28/122.49 (~P2(x3261,f2(f2(x3262,x3263),f1(x3264,x3265)))+P2(x3261,x3263)),
% 122.28/122.49 inference(scs_inference,[],[325,28])).
% 122.28/122.49 cnf(355,plain,
% 122.28/122.49 (~P2(x3551,f2(f2(x3552,x3553),f1(x3554,x3555)))+P2(x3551,f2(f2(x3553,x3552),f1(x3555,x3554)))),
% 122.28/122.49 inference(scs_inference,[],[205,24])).
% 122.28/122.49 cnf(399,plain,
% 122.28/122.49 (~P2(x3991,f2(f2(x3992,x3993),f2(x3994,x3995)))+P2(x3991,f2(f2(x3995,x3994),f2(x3993,x3992)))),
% 122.28/122.49 inference(scs_inference,[],[305,24])).
% 122.28/122.49 cnf(463,plain,
% 122.28/122.49 (~P2(x4631,f2(f2(x4632,x4633),x4634))+P2(x4631,f2(x4634,f2(x4633,x4632)))),
% 122.28/122.49 inference(scs_inference,[],[112,24])).
% 122.28/122.49 cnf(478,plain,
% 122.28/122.49 (~P2(x4781,f2(f1(x4782,x4783),x4784))+P2(x4781,f2(f1(x4783,x4782),x4784))),
% 122.28/122.49 inference(scs_inference,[],[167,24])).
% 122.28/122.49 cnf(542,plain,
% 122.28/122.49 (~P2(x5421,f2(x5422,f2(x5423,x5424)))+P2(x5421,f2(f2(x5424,x5423),x5422))),
% 122.28/122.49 inference(scs_inference,[],[114,24])).
% 122.28/122.49 cnf(670,plain,
% 122.28/122.49 (~P2(f5(f2(x6701,x6702),x6703),x6704)+P2(f5(f2(x6702,x6701),x6703),x6704)),
% 122.28/122.49 inference(scs_inference,[],[70,14])).
% 122.28/122.49 cnf(671,plain,
% 122.28/122.49 (~P2(f5(f2(x6711,x6712),x6713),f2(x6714,x6715))+P2(f5(f2(x6712,x6711),x6713),x6714)),
% 122.28/122.49 inference(scs_inference,[],[670,28])).
% 122.28/122.49 cnf(1497,plain,
% 122.28/122.49 (P2(x14971,f1(x14972,x14973))+~P2(x14971,f2(x14974,x14973))),
% 122.28/122.49 inference(scs_inference,[],[25,27])).
% 122.28/122.49 cnf(1498,plain,
% 122.28/122.49 (P1(x14981,f1(x14982,x14983))+~P2(f4(x14981,f1(x14982,x14983)),f2(x14984,x14983))),
% 122.28/122.49 inference(scs_inference,[],[1497,29])).
% 122.28/122.49 cnf(1499,plain,
% 122.28/122.49 (P1(f2(x14991,x14992),f1(x14993,x14992))),
% 122.28/122.49 inference(scs_inference,[],[1498,23])).
% 122.28/122.49 cnf(1500,plain,
% 122.28/122.49 (P1(f2(x15001,x15002),f1(x15002,x15003))),
% 122.28/122.49 inference(scs_inference,[],[17,1499,13])).
% 122.28/122.49 cnf(1525,plain,
% 122.28/122.49 (P1(f2(x15251,x15252),f1(x15251,x15253))),
% 122.28/122.49 inference(scs_inference,[],[18,1500,12])).
% 122.28/122.49 cnf(1746,plain,
% 122.28/122.49 (~P2(x17461,x17462)+~P2(x17461,x17463)+P2(x17461,f2(f1(x17464,x17462),x17463))),
% 122.28/122.49 inference(scs_inference,[],[25,31])).
% 122.28/122.49 cnf(1903,plain,
% 122.28/122.49 (~P2(f5(f2(a3,f1(a3,a6)),a3),f2(a3,x19031))+~P2(f5(f2(a3,f1(a3,a6)),a3),f2(a3,f1(a3,a6)))),
% 122.28/122.49 inference(scs_inference,[],[19,1525,33,32,24])).
% 122.28/122.49 cnf(1907,plain,
% 122.28/122.49 (~P2(f5(f2(a3,f1(a3,a6)),a3),f2(a3,f1(a3,a6)))),
% 122.28/122.49 inference(factoring_inference,[],[1903])).
% 122.28/122.49 cnf(1935,plain,
% 122.28/122.49 ($false),
% 122.28/122.49 inference(scs_inference,[],[19,1907,28,263,291,326,355,399,463,478,542,671,670,1746,30]),
% 122.28/122.49 ['proof']).
% 122.28/122.49 % SZS output end Proof
% 122.28/122.49 % Total time :121.850000s
%------------------------------------------------------------------------------