TSTP Solution File: NUN073+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUN073+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n018.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 12:45:24 EDT 2023
% Result : Theorem 0.20s 0.81s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUN073+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 09:43:30 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.60 start to proof:theBenchmark
% 0.20/0.80 %-------------------------------------------
% 0.20/0.80 % File :CSE---1.6
% 0.20/0.80 % Problem :theBenchmark
% 0.20/0.80 % Transform :cnf
% 0.20/0.80 % Format :tptp:raw
% 0.20/0.80 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.80
% 0.20/0.80 % Result :Theorem 0.140000s
% 0.20/0.80 % Output :CNFRefutation 0.140000s
% 0.20/0.80 %-------------------------------------------
% 0.20/0.80 %------------------------------------------------------------------------------
% 0.20/0.80 % File : NUN073+1 : TPTP v8.1.2. Released v7.3.0.
% 0.20/0.80 % Domain : Number Theory
% 0.20/0.80 % Problem : Robinson arithmetic: 1 != 2
% 0.20/0.80 % Version : Especial.
% 0.20/0.80 % English :
% 0.20/0.80
% 0.20/0.80 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 0.20/0.80 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 0.20/0.80 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 0.20/0.80 % Source : [Lam18]
% 0.20/0.80 % Names : oneunidtwo [Lam18]
% 0.20/0.80
% 0.20/0.80 % Status : Theorem
% 0.20/0.80 % Rating : 0.07 v7.5.0, 0.10 v7.4.0, 0.06 v7.3.0
% 0.20/0.80 % Syntax : Number of formulae : 19 ( 1 unt; 0 def)
% 0.20/0.80 % Number of atoms : 81 ( 0 equ)
% 0.20/0.80 % Maximal formula atoms : 7 ( 4 avg)
% 0.20/0.80 % Number of connectives : 102 ( 40 ~; 31 |; 31 &)
% 0.20/0.80 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.20/0.80 % Maximal formula depth : 13 ( 8 avg)
% 0.20/0.80 % Maximal term depth : 1 ( 1 avg)
% 0.20/0.80 % Number of predicates : 5 ( 5 usr; 0 prp; 1-3 aty)
% 0.20/0.80 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.20/0.80 % Number of variables : 72 ( 52 !; 20 ?)
% 0.20/0.80 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.80
% 0.20/0.80 % Comments : Translated to FOL without equality.
% 0.20/0.80 %------------------------------------------------------------------------------
% 0.20/0.80 include('Axioms/NUM009+0.ax').
% 0.20/0.80 %------------------------------------------------------------------------------
% 0.20/0.80 fof(oneunidtwo,conjecture,
% 0.20/0.80 ! [Y1] :
% 0.20/0.80 ( ! [Y2] :
% 0.20/0.80 ( ! [Y4] :
% 0.20/0.80 ( ~ r1(Y4)
% 0.20/0.80 | ~ r2(Y4,Y2) )
% 0.20/0.81 | ~ id(Y2,Y1) )
% 0.20/0.81 | ! [Y3] :
% 0.20/0.81 ( ! [Y5] :
% 0.20/0.81 ( ~ r1(Y5)
% 0.20/0.81 | ~ r2(Y5,Y3) )
% 0.20/0.81 | ~ r2(Y3,Y1) ) ) ).
% 0.20/0.81
% 0.20/0.81 %------------------------------------------------------------------------------
% 0.20/0.81 %-------------------------------------------
% 0.20/0.81 % Proof found
% 0.20/0.81 % SZS status Theorem for theBenchmark
% 0.20/0.81 % SZS output start Proof
% 0.20/0.81 %ClaNum:48(EqnAxiom:0)
% 0.20/0.81 %VarNum:201(SingletonVarNum:98)
% 0.20/0.81 %MaxLitNum:5
% 0.20/0.81 %MaxfuncDepth:1
% 0.20/0.81 %SharedTerms:12
% 0.20/0.81 %goalClause: 1 2 6 7 8 9
% 0.20/0.81 %singleGoalClaCount:6
% 0.20/0.81 [1]P1(a1)
% 0.20/0.81 [2]P1(a16)
% 0.20/0.81 [6]P2(a10,a11)
% 0.20/0.81 [7]P3(a1,a10)
% 0.20/0.81 [8]P3(a17,a11)
% 0.20/0.81 [9]P3(a16,a17)
% 0.20/0.81 [10]P2(x101,x101)
% 0.20/0.81 [3]P1(f2(x31))
% 0.20/0.81 [4]P1(f7(x41))
% 0.20/0.81 [5]P1(f9(x51))
% 0.20/0.81 [11]P2(f3(x111),x111)
% 0.20/0.81 [12]P2(f8(x121),f9(x121))
% 0.20/0.81 [18]P4(x181,f2(x181),f3(x181))
% 0.20/0.81 [19]P5(x191,f7(x191),f8(x191))
% 0.20/0.81 [13]P3(x131,f18(x132,x131))
% 0.20/0.81 [14]P3(x141,f4(x142,x141))
% 0.20/0.81 [15]P2(f19(x151,x152),f20(x151,x152))
% 0.20/0.81 [16]P2(f5(x161,x162),f24(x161,x162))
% 0.20/0.81 [17]P3(f25(x171,x172),f20(x171,x172))
% 0.20/0.81 [20]P4(x201,x202,f25(x201,x202))
% 0.20/0.81 [21]P5(x211,x212,f6(x211,x212))
% 0.20/0.81 [22]P4(x221,f18(x221,x222),f19(x221,x222))
% 0.20/0.81 [23]P5(x231,f4(x231,x232),f5(x231,x232))
% 0.20/0.81 [24]P4(f6(x241,x242),x241,f24(x241,x242))
% 0.20/0.81 [25]~P1(x251)+P2(x251,a12)
% 0.20/0.81 [26]P1(x261)+~P2(x261,a12)
% 0.20/0.81 [27]P2(x271,f15(x271))+P1(f13(x271))
% 0.20/0.81 [31]P3(f14(x311),f15(x311))+P1(f13(x311))
% 0.20/0.81 [32]P2(x321,f15(x321))+P2(x321,f13(x321))
% 0.20/0.81 [35]P3(f14(x351),f15(x351))+P2(x351,f13(x351))
% 0.20/0.81 [30]~P2(x302,x301)+P2(x301,x302)
% 0.20/0.81 [33]~P3(x332,x331)+P2(x331,f21(x332))
% 0.20/0.81 [34]P3(x341,x342)+~P2(x342,f21(x341))
% 0.20/0.81 [41]P4(x411,x412,x413)+~P2(x413,f22(x411,x412))
% 0.20/0.81 [42]P5(x421,x422,x423)+~P2(x423,f23(x421,x422))
% 0.20/0.81 [43]~P4(x432,x433,x431)+P2(x431,f22(x432,x433))
% 0.20/0.81 [44]~P5(x442,x443,x441)+P2(x441,f23(x442,x443))
% 0.20/0.81 [28]~P2(x282,x281)+P1(x281)+~P1(x282)
% 0.20/0.81 [29]~P2(x291,x292)+P1(x291)+~P1(x292)
% 0.20/0.81 [36]~P1(x361)+~P2(x361,x362)+~P3(x363,x362)
% 0.20/0.81 [37]~P2(x371,x373)+P2(x371,x372)+~P2(x373,x372)
% 0.20/0.81 [38]~P3(x382,x384)+~P3(x381,x383)+P2(x381,x382)+~P2(x383,x384)
% 0.20/0.81 [39]~P3(x394,x393)+P3(x391,x392)+~P2(x393,x392)+~P2(x394,x391)
% 0.20/0.81 [40]~P3(x404,x403)+P3(x401,x402)+~P2(x402,x403)+~P2(x401,x404)
% 0.20/0.81 [45]~P4(x456,x455,x454)+P4(x451,x452,x453)+~P2(x454,x453)+~P2(x455,x452)+~P2(x456,x451)
% 0.20/0.81 [46]~P4(x466,x465,x464)+P4(x461,x462,x463)+~P2(x463,x464)+~P2(x462,x465)+~P2(x461,x466)
% 0.20/0.81 [47]~P5(x476,x475,x474)+P5(x471,x472,x473)+~P2(x474,x473)+~P2(x475,x472)+~P2(x476,x471)
% 0.20/0.81 [48]~P5(x486,x485,x484)+P5(x481,x482,x483)+~P2(x483,x484)+~P2(x482,x485)+~P2(x481,x486)
% 0.20/0.81 %EqnAxiom
% 0.20/0.81
% 0.20/0.81 %-------------------------------------------
% 0.20/0.81 cnf(49,plain,
% 0.20/0.81 (P1(a12)),
% 0.20/0.81 inference(scs_inference,[],[10,26])).
% 0.20/0.81 cnf(50,plain,
% 0.20/0.81 (P2(x501,x501)),
% 0.20/0.81 inference(rename_variables,[],[10])).
% 0.20/0.81 cnf(51,plain,
% 0.20/0.81 (P3(x511,f21(x511))),
% 0.20/0.81 inference(scs_inference,[],[10,50,26,34])).
% 0.20/0.81 cnf(52,plain,
% 0.20/0.81 (P2(x521,x521)),
% 0.20/0.81 inference(rename_variables,[],[10])).
% 0.20/0.81 cnf(54,plain,
% 0.20/0.81 (P5(x541,x542,f23(x541,x542))),
% 0.20/0.81 inference(scs_inference,[],[10,50,52,26,34,42])).
% 0.20/0.81 cnf(55,plain,
% 0.20/0.81 (P2(x551,x551)),
% 0.20/0.81 inference(rename_variables,[],[10])).
% 0.20/0.81 cnf(57,plain,
% 0.20/0.81 (P4(x571,x572,f22(x571,x572))),
% 0.20/0.81 inference(scs_inference,[],[10,50,52,55,26,34,42,41])).
% 0.20/0.81 cnf(58,plain,
% 0.20/0.81 (P2(x581,x581)),
% 0.20/0.81 inference(rename_variables,[],[10])).
% 0.20/0.81 cnf(60,plain,
% 0.20/0.81 (~P3(x601,a1)),
% 0.20/0.81 inference(scs_inference,[],[1,10,50,52,55,58,26,34,42,41,36])).
% 0.20/0.81 cnf(62,plain,
% 0.20/0.81 (P3(a1,f3(a10))),
% 0.20/0.81 inference(scs_inference,[],[1,10,50,52,55,58,7,11,26,34,42,41,36,40])).
% 0.20/0.81 cnf(63,plain,
% 0.20/0.81 (P2(f3(x631),x631)),
% 0.20/0.81 inference(rename_variables,[],[11])).
% 0.20/0.81 cnf(64,plain,
% 0.20/0.81 (P2(x641,x641)),
% 0.20/0.81 inference(rename_variables,[],[10])).
% 0.20/0.81 cnf(67,plain,
% 0.20/0.81 (P2(f3(x671),x671)),
% 0.20/0.81 inference(rename_variables,[],[11])).
% 0.20/0.81 cnf(69,plain,
% 0.20/0.81 (P2(x691,x691)),
% 0.20/0.81 inference(rename_variables,[],[10])).
% 0.20/0.81 cnf(70,plain,
% 0.20/0.81 (P5(x701,x702,f6(x701,x702))),
% 0.20/0.81 inference(rename_variables,[],[21])).
% 0.20/0.81 cnf(75,plain,
% 0.20/0.81 (P2(x751,x751)),
% 0.20/0.81 inference(rename_variables,[],[10])).
% 0.20/0.81 cnf(76,plain,
% 0.20/0.81 (P4(x761,x762,f25(x761,x762))),
% 0.20/0.81 inference(rename_variables,[],[20])).
% 0.20/0.81 cnf(84,plain,
% 0.20/0.81 (P2(f6(x841,x842),f23(x841,x842))),
% 0.20/0.81 inference(scs_inference,[],[1,10,50,52,55,58,64,69,6,7,20,21,70,11,63,67,26,34,42,41,36,40,48,46,30,25,33,44])).
% 0.20/0.81 cnf(88,plain,
% 0.20/0.81 (~P2(a10,a1)),
% 0.20/0.81 inference(scs_inference,[],[1,10,50,52,55,58,64,69,75,6,7,20,76,21,70,11,63,67,26,34,42,41,36,40,48,46,30,25,33,44,43,39])).
% 0.20/0.81 cnf(91,plain,
% 0.20/0.81 (P2(a1,a17)),
% 0.20/0.81 inference(scs_inference,[],[1,10,50,52,55,58,64,69,75,6,7,8,20,76,21,70,11,63,67,26,34,42,41,36,40,48,46,30,25,33,44,43,39,38])).
% 0.20/0.81 cnf(108,plain,
% 0.20/0.81 (~P2(a1,f18(x1081,f9(x1082)))),
% 0.20/0.81 inference(scs_inference,[],[13,12,60,34,40])).
% 0.20/0.82 cnf(109,plain,
% 0.20/0.82 (P3(x1091,f18(x1092,x1091))),
% 0.20/0.82 inference(rename_variables,[],[13])).
% 0.20/0.82 cnf(110,plain,
% 0.20/0.82 (~P3(x1101,a1)),
% 0.20/0.82 inference(rename_variables,[],[60])).
% 0.20/0.82 cnf(114,plain,
% 0.20/0.82 (P2(x1141,x1141)),
% 0.20/0.82 inference(rename_variables,[],[10])).
% 0.20/0.82 cnf(116,plain,
% 0.20/0.82 (~P2(a1,a10)),
% 0.20/0.82 inference(scs_inference,[],[13,12,10,21,60,88,34,40,48,30])).
% 0.20/0.82 cnf(118,plain,
% 0.20/0.82 (~P1(f19(x1181,x1182))),
% 0.20/0.82 inference(scs_inference,[],[13,12,15,17,10,21,60,88,34,40,48,30,36])).
% 0.20/0.82 cnf(119,plain,
% 0.20/0.82 (P2(f19(x1191,x1192),f20(x1191,x1192))),
% 0.20/0.82 inference(rename_variables,[],[15])).
% 0.20/0.82 cnf(125,plain,
% 0.20/0.82 (P2(x1251,x1251)),
% 0.20/0.82 inference(rename_variables,[],[10])).
% 0.20/0.82 cnf(127,plain,
% 0.20/0.82 (~P2(a17,a1)),
% 0.20/0.82 inference(scs_inference,[],[1,9,13,12,15,17,10,114,125,20,21,60,110,88,34,40,48,30,36,28,46,39])).
% 0.20/0.82 cnf(129,plain,
% 0.20/0.82 (P2(x1291,x1291)),
% 0.20/0.82 inference(rename_variables,[],[10])).
% 0.20/0.82 cnf(131,plain,
% 0.20/0.82 (~P2(f19(x1311,x1312),a1)),
% 0.20/0.82 inference(scs_inference,[],[1,9,13,12,15,17,10,114,125,20,21,60,110,88,34,40,48,30,36,28,46,39,29])).
% 0.20/0.82 cnf(133,plain,
% 0.20/0.82 (P5(a11,f7(a10),f9(a10))),
% 0.20/0.82 inference(scs_inference,[],[1,9,13,19,12,15,17,10,114,125,129,20,21,6,60,110,88,34,40,48,30,36,28,46,39,29,47])).
% 0.20/0.82 cnf(138,plain,
% 0.20/0.82 (~P2(f20(x1381,x1382),a1)),
% 0.20/0.82 inference(scs_inference,[],[1,9,13,19,12,15,119,17,10,114,125,129,20,21,6,60,110,88,34,40,48,30,36,28,46,39,29,47,37])).
% 0.20/0.82 cnf(141,plain,
% 0.20/0.82 (~P2(f18(x1411,a10),f4(x1412,a1))),
% 0.20/0.82 inference(scs_inference,[],[1,9,13,109,14,19,12,15,119,17,10,114,125,129,20,21,6,60,110,88,34,40,48,30,36,28,46,39,29,47,37,38])).
% 0.20/0.82 cnf(148,plain,
% 0.20/0.82 (~P3(x1481,a1)),
% 0.20/0.82 inference(rename_variables,[],[60])).
% 0.20/0.82 cnf(149,plain,
% 0.20/0.82 (P2(f3(x1491),x1491)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(151,plain,
% 0.20/0.82 (~P2(f18(x1511,a10),f3(f4(x1512,a1)))),
% 0.20/0.82 inference(scs_inference,[],[8,11,149,141,60,40,37])).
% 0.20/0.82 cnf(152,plain,
% 0.20/0.82 (P2(f3(x1521),x1521)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(155,plain,
% 0.20/0.82 (P2(f3(x1551),x1551)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(157,plain,
% 0.20/0.82 (~P1(f3(f19(x1571,x1572)))),
% 0.20/0.82 inference(scs_inference,[],[8,11,149,152,155,118,141,60,40,37,34,28])).
% 0.20/0.82 cnf(158,plain,
% 0.20/0.82 (P2(f3(x1581),x1581)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(162,plain,
% 0.20/0.82 (P2(f3(x1621),x1621)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(163,plain,
% 0.20/0.82 (P2(x1631,x1631)),
% 0.20/0.82 inference(rename_variables,[],[10])).
% 0.20/0.82 cnf(166,plain,
% 0.20/0.82 (P2(f3(x1661),x1661)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(170,plain,
% 0.20/0.82 (P2(f3(x1701),x1701)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(171,plain,
% 0.20/0.82 (P2(x1711,x1711)),
% 0.20/0.82 inference(rename_variables,[],[10])).
% 0.20/0.82 cnf(175,plain,
% 0.20/0.82 (~P3(f19(x1751,x1752),f3(f18(x1753,a1)))),
% 0.20/0.82 inference(scs_inference,[],[22,23,16,8,11,149,152,155,158,162,166,170,13,10,163,171,21,6,118,141,131,60,40,37,34,28,48,26,46,47,38])).
% 0.20/0.82 cnf(176,plain,
% 0.20/0.82 (P3(x1761,f18(x1762,x1761))),
% 0.20/0.82 inference(rename_variables,[],[13])).
% 0.20/0.82 cnf(177,plain,
% 0.20/0.82 (P2(f3(x1771),x1771)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(181,plain,
% 0.20/0.82 (~P1(f3(a11))),
% 0.20/0.82 inference(scs_inference,[],[22,23,16,8,11,149,152,155,158,162,166,170,177,13,10,163,171,21,6,118,141,131,60,40,37,34,28,48,26,46,47,38,30,36])).
% 0.20/0.82 cnf(187,plain,
% 0.20/0.82 (~P1(f20(x1871,x1872))),
% 0.20/0.82 inference(scs_inference,[],[22,23,16,8,11,149,152,155,158,162,166,170,177,13,176,15,10,163,171,21,6,118,141,131,60,148,40,37,34,28,48,26,46,47,38,30,36,39,29])).
% 0.20/0.82 cnf(192,plain,
% 0.20/0.82 (P2(f3(x1921),x1921)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(196,plain,
% 0.20/0.82 (P2(f3(x1961),x1961)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(202,plain,
% 0.20/0.82 (~P2(f3(f4(x2021,a1)),f18(x2022,a10))),
% 0.20/0.82 inference(scs_inference,[],[20,11,192,196,15,10,157,175,151,37,40,26,46,30])).
% 0.20/0.82 cnf(215,plain,
% 0.20/0.82 (~P1(f3(f3(a10)))),
% 0.20/0.82 inference(scs_inference,[],[5,20,11,192,196,15,10,12,54,84,157,175,151,138,62,91,1,37,40,26,46,30,34,28,48,29,38,36])).
% 0.20/0.82 cnf(216,plain,
% 0.20/0.82 (P2(f3(x2161),x2161)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(218,plain,
% 0.20/0.82 (~P3(f3(a1),f3(a1))),
% 0.20/0.82 inference(scs_inference,[],[5,20,11,192,196,216,15,10,12,54,84,157,175,151,138,62,91,60,1,37,40,26,46,30,34,28,48,29,38,36,39])).
% 0.20/0.82 cnf(230,plain,
% 0.20/0.82 (P2(f3(x2301),x2301)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(238,plain,
% 0.20/0.82 (P2(x2381,f3(x2381))),
% 0.20/0.82 inference(scs_inference,[],[6,49,8,11,230,7,187,108,88,40,37,28,38,30])).
% 0.20/0.82 cnf(255,plain,
% 0.20/0.82 (P2(f3(x2551),x2551)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(264,plain,
% 0.20/0.82 (~P2(f3(f3(a10)),a12)),
% 0.20/0.82 inference(scs_inference,[],[6,51,49,3,24,9,19,8,11,230,255,7,187,215,108,218,88,60,40,37,28,38,30,29,36,39,43,25,44,42,41,33,34,26])).
% 0.20/0.82 cnf(291,plain,
% 0.20/0.82 (P2(f3(x2911),x2911)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(294,plain,
% 0.20/0.82 (P2(f3(x2941),x2941)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(302,plain,
% 0.20/0.82 (~P3(x3021,f2(x3022))),
% 0.20/0.82 inference(scs_inference,[],[3,17,51,11,291,294,10,12,116,202,33,29,37,30,38,36])).
% 0.20/0.82 cnf(313,plain,
% 0.20/0.82 (P2(x3131,x3131)),
% 0.20/0.82 inference(rename_variables,[],[10])).
% 0.20/0.82 cnf(316,plain,
% 0.20/0.82 (P2(x3161,x3161)),
% 0.20/0.82 inference(rename_variables,[],[10])).
% 0.20/0.82 cnf(318,plain,
% 0.20/0.82 (P2(f3(x3181),x3181)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(321,plain,
% 0.20/0.82 (P2(f3(x3211),x3211)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(324,plain,
% 0.20/0.82 (P2(f3(x3241),x3241)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(327,plain,
% 0.20/0.82 (~P1(f3(a10))),
% 0.20/0.82 inference(scs_inference,[],[7,54,18,9,11,318,321,324,15,10,313,316,181,47,45,29,40,36])).
% 0.20/0.82 cnf(348,plain,
% 0.20/0.82 (P2(x3481,x3481)),
% 0.20/0.82 inference(rename_variables,[],[10])).
% 0.20/0.82 cnf(351,plain,
% 0.20/0.82 (P2(f8(x3511),f9(x3511))),
% 0.20/0.82 inference(rename_variables,[],[12])).
% 0.20/0.82 cnf(352,plain,
% 0.20/0.82 (P2(x3521,x3521)),
% 0.20/0.82 inference(rename_variables,[],[10])).
% 0.20/0.82 cnf(353,plain,
% 0.20/0.82 (P2(f3(x3531),x3531)),
% 0.20/0.82 inference(rename_variables,[],[11])).
% 0.20/0.82 cnf(357,plain,
% 0.20/0.82 (P2(x3571,x3571)),
% 0.20/0.82 inference(rename_variables,[],[10])).
% 0.20/0.82 cnf(368,plain,
% 0.20/0.82 (~P3(x3681,f2(x3682))),
% 0.20/0.82 inference(rename_variables,[],[302])).
% 0.20/0.82 cnf(371,plain,
% 0.20/0.82 (P3(x3711,f4(x3712,x3711))),
% 0.20/0.82 inference(rename_variables,[],[14])).
% 0.20/0.82 cnf(375,plain,
% 0.20/0.82 (P2(x3751,x3751)),
% 0.20/0.82 inference(rename_variables,[],[10])).
% 0.20/0.82 cnf(382,plain,
% 0.20/0.82 (P2(f19(x3821,x3822),f22(x3821,f18(x3821,x3822)))),
% 0.20/0.82 inference(scs_inference,[],[8,57,4,22,54,14,371,12,351,15,10,348,352,357,375,11,353,238,302,368,327,133,264,127,45,48,47,29,37,30,40,39,36,38,25,43])).
% 0.20/0.82 cnf(436,plain,
% 0.20/0.82 (P2(x4361,x4361)),
% 0.20/0.82 inference(rename_variables,[],[10])).
% 0.20/0.82 cnf(441,plain,
% 0.20/0.82 ($false),
% 0.20/0.82 inference(scs_inference,[],[9,57,60,10,436,15,382,91,118,45,29,40]),
% 0.20/0.82 ['proof']).
% 0.20/0.82 % SZS output end Proof
% 0.20/0.82 % Total time :0.140000s
%------------------------------------------------------------------------------