TSTP Solution File: GEO191+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO191+3 : 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 : n014.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 : Wed Aug 30 22:43:30 EDT 2023
% Result : Theorem 1.41s 1.55s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n014.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 21:39:45 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 1.31/1.54 %-------------------------------------------
% 1.31/1.54 % File :CSE---1.6
% 1.31/1.54 % Problem :theBenchmark
% 1.31/1.54 % Transform :cnf
% 1.31/1.54 % Format :tptp:raw
% 1.31/1.54 % Command :java -jar mcs_scs.jar %d %s
% 1.31/1.54
% 1.31/1.54 % Result :Theorem 0.920000s
% 1.31/1.54 % Output :CNFRefutation 0.920000s
% 1.31/1.54 %-------------------------------------------
% 1.31/1.55 %------------------------------------------------------------------------------
% 1.31/1.55 % File : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% 1.31/1.55 % Domain : Geometry (Constructive)
% 1.31/1.55 % Problem : Symmetry of apartness
% 1.31/1.55 % Version : [vPl95] axioms.
% 1.31/1.55 % English : If the lines X and Y are convergent, U and V are convergent,
% 1.31/1.55 % and the intersection point of X and Y is apart from U and V,
% 1.31/1.55 % then the intersection point of U and V is apart from X and Y.
% 1.31/1.55
% 1.31/1.55 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 1.31/1.55 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 1.31/1.55 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 1.31/1.55 % Source : [Rat07]
% 1.31/1.55 % Names : Theorem 4.8 [vPl95]
% 1.31/1.55
% 1.31/1.55 % Status : Theorem
% 1.31/1.55 % Rating : 0.00 v6.4.0, 0.07 v6.3.0, 0.08 v6.2.0, 0.09 v6.1.0, 0.16 v6.0.0, 0.25 v5.5.0, 0.21 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.20 v4.1.0, 0.28 v4.0.1, 0.32 v4.0.0
% 1.31/1.55 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 1.31/1.55 % Number of atoms : 99 ( 0 equ)
% 1.31/1.55 % Maximal formula atoms : 6 ( 2 avg)
% 1.31/1.55 % Number of connectives : 91 ( 28 ~; 21 |; 15 &)
% 1.31/1.55 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 1.31/1.55 % Maximal formula depth : 9 ( 6 avg)
% 1.31/1.55 % Maximal term depth : 2 ( 1 avg)
% 1.31/1.55 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 1.31/1.55 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 1.31/1.55 % Number of variables : 85 ( 85 !; 0 ?)
% 1.31/1.55 % SPC : FOF_THM_RFO_NEQ
% 1.31/1.55
% 1.31/1.55 % Comments :
% 1.31/1.55 %------------------------------------------------------------------------------
% 1.31/1.55 include('Axioms/GEO006+0.ax').
% 1.31/1.55 include('Axioms/GEO006+1.ax').
% 1.31/1.55 include('Axioms/GEO006+2.ax').
% 1.31/1.55 include('Axioms/GEO006+3.ax').
% 1.31/1.55 include('Axioms/GEO006+4.ax').
% 1.31/1.55 include('Axioms/GEO006+5.ax').
% 1.41/1.55 include('Axioms/GEO006+6.ax').
% 1.41/1.55 %------------------------------------------------------------------------------
% 1.41/1.55 fof(con,conjecture,
% 1.41/1.55 ! [X,Y,U,V] :
% 1.41/1.55 ( ( convergent_lines(X,Y)
% 1.41/1.55 & convergent_lines(U,V)
% 1.41/1.55 & ( apart_point_and_line(intersection_point(X,Y),U)
% 1.41/1.55 | apart_point_and_line(intersection_point(X,Y),V) ) )
% 1.41/1.55 => ( apart_point_and_line(intersection_point(U,V),X)
% 1.41/1.55 | apart_point_and_line(intersection_point(U,V),Y) ) ) ).
% 1.41/1.55
% 1.41/1.55 %------------------------------------------------------------------------------
% 1.41/1.55 %-------------------------------------------
% 1.41/1.55 % Proof found
% 1.41/1.55 % SZS status Theorem for theBenchmark
% 1.41/1.55 % SZS output start Proof
% 1.41/1.55 %ClaNum:51(EqnAxiom:0)
% 1.41/1.55 %VarNum:218(SingletonVarNum:98)
% 1.41/1.55 %MaxLitNum:6
% 1.41/1.55 %MaxfuncDepth:1
% 1.41/1.55 %SharedTerms:12
% 1.41/1.55 %goalClause: 1 2 6 7 34
% 1.41/1.55 %singleGoalClaCount:4
% 1.41/1.55 [1]P1(a1,a2)
% 1.41/1.55 [2]P1(a3,a4)
% 1.41/1.55 [6]~P2(f5(a3,a4),a1)
% 1.41/1.55 [7]~P2(f5(a3,a4),a2)
% 1.41/1.55 [3]~P3(x31,x31)
% 1.41/1.55 [4]~P4(x41,x41)
% 1.41/1.55 [5]~P1(x51,x51)
% 1.41/1.55 [8]~P2(x81,f6(x82,x81))
% 1.41/1.55 [9]~P2(x91,f7(x92,x91))
% 1.41/1.55 [10]~P1(f6(x101,x102),x101)
% 1.41/1.55 [11]~P5(f7(x111,x112),x111)
% 1.41/1.55 [34]P2(f5(a1,a2),a4)+P2(f5(a1,a2),a3)
% 1.41/1.55 [12]P6(x121,x122)+P3(x121,x122)
% 1.41/1.55 [13]P7(x131,x132)+P4(x131,x132)
% 1.41/1.55 [15]P5(x151,x152)+P1(x151,x152)
% 1.41/1.55 [16]P8(x161,x162)+P1(x161,x162)
% 1.41/1.55 [17]P9(x171,x172)+P2(x171,x172)
% 1.41/1.55 [18]P10(x181,x182)+P5(x181,x182)
% 1.41/1.55 [19]~P4(x191,x192)+P1(x191,x192)
% 1.41/1.55 [22]~P6(x221,x222)+~P3(x221,x222)
% 1.41/1.55 [23]~P7(x231,x232)+~P4(x231,x232)
% 1.41/1.55 [24]~P8(x241,x242)+~P1(x241,x242)
% 1.41/1.55 [25]~P9(x251,x252)+~P2(x251,x252)
% 1.41/1.55 [26]~P10(x261,x262)+~P5(x261,x262)
% 1.41/1.55 [47]~P3(x471,x472)+~P2(x472,f8(x471,x472))
% 1.41/1.55 [48]~P3(x481,x482)+~P2(x481,f8(x481,x482))
% 1.41/1.55 [49]~P1(x491,x492)+~P2(f5(x491,x492),x492)
% 1.41/1.55 [50]~P1(x501,x502)+~P2(f5(x501,x502),x501)
% 1.41/1.55 [20]~P12(x202)+~P11(x201)+P11(f6(x201,x202))
% 1.41/1.55 [21]~P12(x212)+~P11(x211)+P11(f7(x211,x212))
% 1.41/1.55 [27]~P3(x273,x271)+P3(x271,x272)+P3(x273,x272)
% 1.41/1.55 [28]~P2(x281,x283)+P3(x281,x282)+P2(x282,x283)
% 1.41/1.55 [29]~P4(x293,x291)+P4(x291,x292)+P4(x293,x292)
% 1.41/1.55 [30]~P1(x303,x301)+P4(x301,x302)+P1(x303,x302)
% 1.41/1.55 [31]~P2(x313,x311)+P4(x311,x312)+P2(x313,x312)
% 1.41/1.55 [32]~P1(x323,x321)+P1(x321,x322)+P1(x323,x322)
% 1.41/1.55 [33]~P1(x333,x332)+P5(x331,x332)+P5(x331,x333)
% 1.41/1.55 [36]~P11(x362)+~P11(x361)+~P1(x361,x362)+P12(f5(x361,x362))
% 1.41/1.55 [37]~P12(x372)+~P12(x371)+~P3(x371,x372)+P11(f8(x371,x372))
% 1.41/1.55 [39]~P1(x391,x393)+~P5(x391,x393)+P1(x391,x392)+P5(x393,x392)
% 1.41/1.55 [40]~P1(x402,x403)+~P5(x402,x403)+P1(x401,x402)+P1(x401,x403)
% 1.41/1.55 [41]~P1(x412,x413)+~P5(x412,x413)+P1(x411,x412)+P5(x411,x413)
% 1.41/1.55 [42]~P1(x423,x421)+~P5(x423,x421)+P1(x421,x422)+P5(x423,x422)
% 1.41/1.55 [43]~P1(x433,x432)+~P5(x433,x432)+P1(x431,x432)+P5(x431,x433)
% 1.41/1.55 [44]~P1(x441,x443)+~P5(x441,x443)+P5(x441,x442)+P5(x443,x442)
% 1.41/1.55 [46]P5(x463,x464)+~P4(x463,x462)+P2(x461,x462)+P2(x461,x463)+P5(x462,x464)
% 1.41/1.55 [51]P2(x514,x513)+~P3(x514,x511)+~P4(x513,x512)+P2(x511,x512)+P2(x511,x513)+P2(x514,x512)
% 1.41/1.55 %EqnAxiom
% 1.41/1.55
% 1.41/1.55 %-------------------------------------------
% 1.41/1.56 cnf(53,plain,
% 1.41/1.56 (~P4(f6(x531,x532),x531)),
% 1.41/1.56 inference(scs_inference,[],[1,10,24,19])).
% 1.41/1.56 cnf(64,plain,
% 1.41/1.56 (P6(x641,x641)),
% 1.41/1.56 inference(scs_inference,[],[1,3,4,5,7,10,11,24,19,18,17,16,15,13,12])).
% 1.41/1.56 cnf(66,plain,
% 1.41/1.56 (P5(f7(a1,x661),a2)),
% 1.41/1.56 inference(scs_inference,[],[1,3,4,5,7,10,11,24,19,18,17,16,15,13,12,33])).
% 1.41/1.56 cnf(67,plain,
% 1.41/1.56 (~P5(f7(x671,x672),x671)),
% 1.41/1.56 inference(rename_variables,[],[11])).
% 1.41/1.56 cnf(69,plain,
% 1.41/1.56 (P1(a2,a1)),
% 1.41/1.56 inference(scs_inference,[],[1,3,4,5,7,10,11,24,19,18,17,16,15,13,12,33,32])).
% 1.41/1.56 cnf(70,plain,
% 1.41/1.56 (~P1(x701,x701)),
% 1.41/1.56 inference(rename_variables,[],[5])).
% 1.41/1.56 cnf(72,plain,
% 1.41/1.56 (P4(a2,a1)),
% 1.41/1.56 inference(scs_inference,[],[1,3,4,5,70,7,10,11,24,19,18,17,16,15,13,12,33,32,30])).
% 1.41/1.56 cnf(73,plain,
% 1.41/1.56 (~P1(x731,x731)),
% 1.41/1.56 inference(rename_variables,[],[5])).
% 1.41/1.56 cnf(75,plain,
% 1.41/1.56 (P4(a1,a2)),
% 1.41/1.56 inference(scs_inference,[],[1,3,4,5,70,7,10,11,24,19,18,17,16,15,13,12,33,32,30,29])).
% 1.41/1.56 cnf(77,plain,
% 1.41/1.56 (~P2(f5(a1,a2),a1)),
% 1.41/1.56 inference(scs_inference,[],[1,3,4,5,70,7,10,11,24,19,18,17,16,15,13,12,33,32,30,29,50])).
% 1.41/1.56 cnf(79,plain,
% 1.41/1.56 (~P2(f5(a1,a2),a2)),
% 1.41/1.56 inference(scs_inference,[],[1,3,4,5,70,7,10,11,24,19,18,17,16,15,13,12,33,32,30,29,50,49])).
% 1.41/1.56 cnf(89,plain,
% 1.41/1.56 (~P5(a1,a2)+P5(a2,x891)+P5(a1,x891)),
% 1.41/1.56 inference(scs_inference,[],[1,3,4,5,70,7,10,11,67,24,19,18,17,16,15,13,12,33,32,30,29,50,49,43,26,23,31,44])).
% 1.41/1.56 cnf(93,plain,
% 1.41/1.56 (P5(x931,a4)+~P5(a3,a4)+P1(x931,a3)),
% 1.41/1.56 inference(scs_inference,[],[1,3,4,5,70,73,2,7,10,11,67,24,19,18,17,16,15,13,12,33,32,30,29,50,49,43,26,23,31,44,42,41])).
% 1.41/1.56 cnf(97,plain,
% 1.41/1.56 (P5(a4,x971)+~P5(a3,a4)+P1(a3,x971)),
% 1.41/1.56 inference(scs_inference,[],[1,3,4,5,70,73,2,7,10,11,67,24,19,18,17,16,15,13,12,33,32,30,29,50,49,43,26,23,31,44,42,41,40,39])).
% 1.41/1.56 cnf(103,plain,
% 1.41/1.56 (P1(f7(x1031,x1032),x1031)),
% 1.41/1.56 inference(scs_inference,[],[11,15])).
% 1.41/1.56 cnf(105,plain,
% 1.41/1.56 (P5(f7(a2,x1051),a1)),
% 1.41/1.56 inference(scs_inference,[],[1,11,15,33])).
% 1.41/1.56 cnf(106,plain,
% 1.41/1.56 (~P5(f7(x1061,x1062),x1061)),
% 1.41/1.56 inference(rename_variables,[],[11])).
% 1.41/1.56 cnf(109,plain,
% 1.41/1.56 (~P5(f7(x1091,x1092),x1091)),
% 1.41/1.56 inference(rename_variables,[],[11])).
% 1.41/1.56 cnf(111,plain,
% 1.41/1.56 (~P1(f6(x1111,x1112),f6(x1111,x1113))),
% 1.41/1.56 inference(scs_inference,[],[1,10,11,106,53,15,33,93,30])).
% 1.41/1.56 cnf(112,plain,
% 1.41/1.56 (~P4(f6(x1121,x1122),x1121)),
% 1.41/1.56 inference(rename_variables,[],[53])).
% 1.41/1.56 cnf(114,plain,
% 1.41/1.56 (~P4(x1141,f6(x1141,x1142))),
% 1.41/1.56 inference(scs_inference,[],[1,10,11,106,4,53,112,15,33,93,30,29])).
% 1.41/1.56 cnf(120,plain,
% 1.41/1.56 (~P1(f6(x1201,x1202),x1201)),
% 1.41/1.56 inference(rename_variables,[],[10])).
% 1.41/1.56 cnf(126,plain,
% 1.41/1.56 (P5(f7(a1,x1261),a2)),
% 1.41/1.56 inference(rename_variables,[],[66])).
% 1.41/1.56 cnf(127,plain,
% 1.41/1.56 (~P5(f7(x1271,x1272),x1271)),
% 1.41/1.56 inference(rename_variables,[],[11])).
% 1.41/1.56 cnf(130,plain,
% 1.41/1.56 (~P1(f6(x1301,x1302),x1301)),
% 1.41/1.56 inference(rename_variables,[],[10])).
% 1.41/1.56 cnf(135,plain,
% 1.41/1.56 (P5(a1,x1351)+~P4(a1,f7(x1351,f5(a3,a4)))),
% 1.41/1.56 inference(scs_inference,[],[1,6,9,10,120,130,11,106,109,127,4,5,53,112,66,126,15,33,93,30,29,36,43,39,44,41,40,46])).
% 1.41/1.56 cnf(141,plain,
% 1.41/1.56 (P1(f7(f6(x1411,x1412),x1413),x1411)),
% 1.41/1.56 inference(scs_inference,[],[10,103,15,32])).
% 1.41/1.56 cnf(144,plain,
% 1.41/1.56 (P4(a4,a3)),
% 1.41/1.56 inference(scs_inference,[],[2,10,5,103,15,32,30])).
% 1.41/1.56 cnf(147,plain,
% 1.41/1.56 (P1(a4,a3)),
% 1.41/1.56 inference(scs_inference,[],[2,10,5,103,15,32,30,19])).
% 1.41/1.56 cnf(150,plain,
% 1.41/1.56 (~P1(f6(x1501,x1502),x1501)),
% 1.41/1.56 inference(rename_variables,[],[10])).
% 1.41/1.56 cnf(152,plain,
% 1.41/1.56 (P4(a3,a4)),
% 1.41/1.56 inference(scs_inference,[],[2,10,4,5,103,15,32,30,19,93,29])).
% 1.41/1.56 cnf(156,plain,
% 1.41/1.56 (~P5(f7(x1561,x1562),x1561)),
% 1.41/1.56 inference(rename_variables,[],[11])).
% 1.41/1.56 cnf(158,plain,
% 1.41/1.56 (~P5(f6(x1581,x1582),f7(x1581,x1583))+~P1(f6(x1581,x1582),f7(x1581,x1583))),
% 1.41/1.56 inference(scs_inference,[],[2,10,150,4,11,156,5,103,15,32,30,19,93,29,42,39])).
% 1.41/1.56 cnf(159,plain,
% 1.41/1.56 (~P1(f6(x1591,x1592),x1591)),
% 1.41/1.56 inference(rename_variables,[],[10])).
% 1.41/1.56 cnf(164,plain,
% 1.41/1.56 (P5(f6(x1641,x1642),x1643)+~P4(f6(x1641,x1642),f7(x1643,x1642))),
% 1.41/1.56 inference(scs_inference,[],[2,8,9,10,150,159,4,11,156,5,103,15,32,30,19,93,29,42,39,43,46])).
% 1.41/1.56 cnf(166,plain,
% 1.41/1.56 (~P3(f5(a1,a2),f5(a3,a4))),
% 1.41/1.56 inference(scs_inference,[],[6,7,77,79,75,51])).
% 1.41/1.56 cnf(168,plain,
% 1.41/1.56 (P1(x1681,f7(f6(x1681,x1682),x1683))),
% 1.41/1.56 inference(scs_inference,[],[6,7,5,141,77,79,75,51,32])).
% 1.41/1.56 cnf(169,plain,
% 1.41/1.56 (~P1(x1691,x1691)),
% 1.41/1.56 inference(rename_variables,[],[5])).
% 1.41/1.56 cnf(171,plain,
% 1.41/1.56 (~P4(f6(x1711,x1712),f6(x1711,x1713))),
% 1.41/1.56 inference(scs_inference,[],[6,7,5,141,77,79,111,75,51,32,19])).
% 1.41/1.56 cnf(174,plain,
% 1.41/1.56 (~P1(x1741,x1741)),
% 1.41/1.56 inference(rename_variables,[],[5])).
% 1.41/1.56 cnf(176,plain,
% 1.41/1.56 (~P1(x1761,f6(x1761,x1762))),
% 1.41/1.56 inference(scs_inference,[],[6,7,5,169,174,10,141,77,79,111,75,53,51,32,19,40,30])).
% 1.41/1.56 cnf(184,plain,
% 1.41/1.56 (~P5(x1841,f7(f6(x1841,x1842),x1843))),
% 1.41/1.56 inference(scs_inference,[],[11,176,168,39])).
% 1.41/1.56 cnf(186,plain,
% 1.41/1.56 (P1(x1861,f7(f6(x1861,x1862),x1863))),
% 1.41/1.56 inference(rename_variables,[],[168])).
% 1.41/1.56 cnf(188,plain,
% 1.41/1.56 (~P4(f6(f6(x1881,x1882),x1883),x1881)),
% 1.41/1.56 inference(scs_inference,[],[53,11,176,168,114,39,29])).
% 1.41/1.56 cnf(191,plain,
% 1.41/1.56 (P4(f7(f6(x1911,x1912),x1913),x1911)),
% 1.41/1.56 inference(scs_inference,[],[53,5,11,176,168,186,114,39,29,30])).
% 1.41/1.56 cnf(198,plain,
% 1.41/1.56 (~P2(f5(a2,a1),a2)),
% 1.41/1.56 inference(scs_inference,[],[6,53,7,5,11,176,168,186,69,166,114,72,39,29,30,46,12,50])).
% 1.41/1.56 cnf(200,plain,
% 1.41/1.56 (~P2(f5(a2,a1),a1)),
% 1.41/1.56 inference(scs_inference,[],[6,53,7,5,11,176,168,186,69,166,114,72,39,29,30,46,12,50,49])).
% 1.41/1.56 cnf(222,plain,
% 1.41/1.56 (~P5(f7(f6(x2221,x2222),x2223),x2221)),
% 1.41/1.56 inference(scs_inference,[],[5,184,141,39])).
% 1.41/1.56 cnf(226,plain,
% 1.41/1.56 (P1(a3,f6(a4,x2261))),
% 1.41/1.56 inference(scs_inference,[],[5,184,147,141,176,39,32])).
% 1.41/1.56 cnf(229,plain,
% 1.41/1.56 (P4(x2291,f7(f6(x2291,x2292),x2293))),
% 1.41/1.56 inference(scs_inference,[],[4,5,184,191,147,141,176,39,32,29])).
% 1.41/1.56 cnf(246,plain,
% 1.41/1.56 (P5(a1,f6(a1,x2461))),
% 1.41/1.56 inference(scs_inference,[],[229,135])).
% 1.41/1.56 cnf(247,plain,
% 1.41/1.56 (P4(x2471,f7(f6(x2471,x2472),x2473))),
% 1.41/1.56 inference(rename_variables,[],[229])).
% 1.41/1.56 cnf(249,plain,
% 1.41/1.56 (~P3(f5(a2,a1),f5(a3,a4))),
% 1.41/1.56 inference(scs_inference,[],[7,229,200,198,72,6,135,51])).
% 1.41/1.56 cnf(252,plain,
% 1.41/1.56 (~P5(f7(x2521,x2522),x2521)),
% 1.41/1.56 inference(rename_variables,[],[11])).
% 1.41/1.56 cnf(257,plain,
% 1.41/1.56 (P4(x2571,f7(f6(x2571,x2572),x2573))),
% 1.41/1.56 inference(rename_variables,[],[229])).
% 1.41/1.56 cnf(267,plain,
% 1.41/1.56 (P1(a3,f6(f6(a4,x2671),x2672))),
% 1.41/1.56 inference(scs_inference,[],[7,9,5,11,252,229,247,257,226,200,198,72,111,176,6,135,51,33,46,164,97,15,32])).
% 1.41/1.56 cnf(286,plain,
% 1.41/1.56 (P1(f6(f6(a4,x2861),x2862),a3)),
% 1.41/1.56 inference(scs_inference,[],[5,267,32])).
% 1.41/1.56 cnf(304,plain,
% 1.41/1.56 (~P1(x3041,f6(f6(x3041,x3042),x3043))),
% 1.41/1.56 inference(scs_inference,[],[10,176,32])).
% 1.41/1.56 cnf(305,plain,
% 1.41/1.56 (~P1(f6(x3051,x3052),x3051)),
% 1.41/1.56 inference(rename_variables,[],[10])).
% 1.41/1.56 cnf(310,plain,
% 1.41/1.56 (~P2(f5(f7(x3101,x3102),x3101),f7(x3101,x3102))),
% 1.41/1.56 inference(scs_inference,[],[10,198,200,103,72,184,176,32,46,50])).
% 1.41/1.56 cnf(318,plain,
% 1.41/1.56 (~P2(f5(f7(x3181,x3182),x3181),x3181)),
% 1.41/1.56 inference(scs_inference,[],[8,10,286,249,198,200,103,72,184,176,32,46,50,12,24,17,49])).
% 1.41/1.56 cnf(321,plain,
% 1.41/1.56 (~P1(x3211,x3211)),
% 1.41/1.56 inference(rename_variables,[],[5])).
% 1.41/1.56 cnf(323,plain,
% 1.41/1.56 (P5(f6(f6(a4,x3231),x3232),a3)+P7(f6(f6(x3233,x3234),x3235),x3233)),
% 1.41/1.56 inference(scs_inference,[],[8,10,5,188,286,249,198,200,103,72,184,176,32,46,50,12,24,17,49,42,13])).
% 1.41/1.56 cnf(329,plain,
% 1.41/1.56 (P5(f6(f6(a4,x3291),x3292),a3)+P10(f7(f6(x3293,x3294),x3295),x3293)),
% 1.41/1.56 inference(scs_inference,[],[8,10,5,188,286,246,249,152,198,200,222,103,72,184,176,32,46,50,12,24,17,49,42,13,26,23,18])).
% 1.41/1.56 cnf(331,plain,
% 1.41/1.56 (P5(f6(f6(a4,x3311),x3312),a3)+P8(f6(x3313,x3314),f6(x3313,x3315))),
% 1.41/1.56 inference(scs_inference,[],[8,10,5,188,286,246,249,152,198,200,222,103,72,111,184,176,32,46,50,12,24,17,49,42,13,26,23,18,16])).
% 1.41/1.56 cnf(336,plain,
% 1.41/1.56 (P5(f6(f6(a4,x3361),x3362),a3)+~P1(f6(x3363,x3364),f6(f6(x3363,x3365),x3366))),
% 1.41/1.56 inference(scs_inference,[],[8,10,305,5,321,188,286,246,249,152,198,200,267,222,103,72,111,184,176,32,46,50,12,24,17,49,42,13,26,23,18,16,39,30])).
% 1.41/1.56 cnf(338,plain,
% 1.41/1.56 (P5(f6(f6(a4,x3381),x3382),a3)+~P2(f5(a2,a1),f6(x3383,f5(a3,a4)))),
% 1.41/1.56 inference(scs_inference,[],[8,10,305,5,321,188,286,246,249,152,198,200,267,222,103,72,111,184,176,32,46,50,12,24,17,49,42,13,26,23,18,16,39,30,28])).
% 1.41/1.56 cnf(343,plain,
% 1.41/1.56 (P5(f6(f6(a4,x3431),x3432),a3)+~P2(x3433,f6(f7(x3434,x3433),x3435))),
% 1.41/1.56 inference(scs_inference,[],[8,53,9,10,305,5,321,188,286,246,249,152,198,200,267,222,103,72,111,184,176,32,46,50,12,24,17,49,42,13,26,23,18,16,39,30,28,93,31])).
% 1.41/1.56 cnf(356,plain,
% 1.41/1.56 (P4(f7(f6(x3561,x3562),x3563),f6(x3561,x3564))),
% 1.41/1.56 inference(scs_inference,[],[168,176,30])).
% 1.41/1.56 cnf(359,plain,
% 1.41/1.56 (~P4(f6(x3591,x3592),f6(f6(x3591,x3593),x3594))),
% 1.41/1.56 inference(scs_inference,[],[53,168,188,176,30,29])).
% 1.41/1.56 cnf(362,plain,
% 1.41/1.56 (P1(f7(f6(x3621,x3622),x3623),f6(x3621,x3624))),
% 1.41/1.56 inference(scs_inference,[],[53,168,188,176,30,29,19])).
% 1.41/1.56 cnf(366,plain,
% 1.41/1.56 (~P1(f6(x3661,x3662),x3661)),
% 1.41/1.56 inference(rename_variables,[],[10])).
% 1.41/1.56 cnf(385,plain,
% 1.41/1.56 (P5(a3,f6(a4,x3851))+~P5(f7(x3852,x3853),f7(f6(x3852,x3854),x3855))+~P1(f7(x3852,x3853),f7(f6(x3852,x3854),x3855))),
% 1.41/1.56 inference(scs_inference,[],[53,10,366,11,168,188,286,222,176,30,29,19,39,343,338,336,331,329,323,164,41,44])).
% 1.41/1.56 cnf(395,plain,
% 1.41/1.56 (~P3(f5(a3,a4),f5(a1,a2))),
% 1.41/1.56 inference(scs_inference,[],[166,3,27])).
% 1.41/1.56 cnf(398,plain,
% 1.41/1.56 (P4(f6(x3981,x3982),f7(f6(x3981,x3983),x3984))),
% 1.41/1.56 inference(scs_inference,[],[4,356,166,3,27,29])).
% 1.41/1.56 cnf(401,plain,
% 1.41/1.56 (~P4(x4011,f6(f6(x4011,x4012),x4013))),
% 1.41/1.56 inference(scs_inference,[],[4,304,356,166,3,27,29,19])).
% 1.41/1.56 cnf(403,plain,
% 1.41/1.56 (~P2(f5(a1,a2),f6(x4031,f5(a3,a4)))),
% 1.41/1.56 inference(scs_inference,[],[4,8,304,356,166,3,27,29,19,28])).
% 1.41/1.56 cnf(406,plain,
% 1.41/1.56 (~P5(f7(f6(x4061,x4062),x4063),f6(x4061,x4064))),
% 1.41/1.57 inference(scs_inference,[],[4,8,10,304,356,362,166,3,222,27,29,19,28,42])).
% 1.41/1.57 cnf(432,plain,
% 1.41/1.57 (P5(f7(x4321,x4322),f7(f6(x4321,x4323),x4324))),
% 1.41/1.57 inference(scs_inference,[],[11,141,33])).
% 1.41/1.57 cnf(435,plain,
% 1.41/1.57 (P1(f6(x4351,x4352),f7(f6(x4351,x4353),x4354))),
% 1.41/1.57 inference(scs_inference,[],[11,398,141,33,19])).
% 1.41/1.57 cnf(437,plain,
% 1.41/1.57 (~P5(f6(x4371,x4372),f7(f6(x4371,x4372),x4373))),
% 1.41/1.57 inference(scs_inference,[],[5,11,398,141,33,19,39])).
% 1.41/1.57 cnf(454,plain,
% 1.41/1.57 (P4(a4,f6(f6(a3,x4541),x4542))),
% 1.41/1.57 inference(scs_inference,[],[401,144,29])).
% 1.41/1.57 cnf(455,plain,
% 1.41/1.57 (~P4(x4551,f6(f6(x4551,x4552),x4553))),
% 1.41/1.57 inference(rename_variables,[],[401])).
% 1.41/1.57 cnf(457,plain,
% 1.41/1.57 (P1(a2,f6(f6(a1,x4571),x4572))),
% 1.41/1.57 inference(scs_inference,[],[401,455,144,69,29,30])).
% 1.41/1.57 cnf(460,plain,
% 1.41/1.57 (~P5(f6(x4601,x4602),f7(f6(x4601,x4603),x4604))),
% 1.41/1.57 inference(scs_inference,[],[437,401,455,435,144,111,69,29,30,41])).
% 1.41/1.57 cnf(470,plain,
% 1.41/1.57 (~P2(f5(a3,f6(a4,x4701)),a3)),
% 1.41/1.57 inference(scs_inference,[],[9,437,401,455,432,435,144,111,69,226,29,30,41,385,24,17,50])).
% 1.41/1.57 cnf(490,plain,
% 1.41/1.57 (P1(a2,f6(a1,x4901))),
% 1.41/1.57 inference(scs_inference,[],[10,457,32])).
% 1.41/1.57 cnf(493,plain,
% 1.41/1.57 (~P1(f6(f6(x4931,x4932),x4933),f6(x4931,x4934))),
% 1.41/1.57 inference(scs_inference,[],[5,10,359,457,32,30])).
% 1.41/1.57 cnf(494,plain,
% 1.41/1.57 (~P1(x4941,x4941)),
% 1.41/1.57 inference(rename_variables,[],[5])).
% 1.41/1.57 cnf(496,plain,
% 1.41/1.57 (P1(a4,f6(f6(a3,x4961),x4962))),
% 1.41/1.57 inference(scs_inference,[],[5,10,359,454,457,32,30,19])).
% 1.41/1.57 cnf(498,plain,
% 1.41/1.57 (~P4(f6(f6(x4981,x4982),x4983),f6(x4981,x4984))),
% 1.41/1.57 inference(scs_inference,[],[5,53,10,359,454,457,188,32,30,19,29])).
% 1.41/1.57 cnf(501,plain,
% 1.41/1.57 (~P1(f7(x5011,x5012),f7(f6(x5011,x5013),x5014))),
% 1.41/1.57 inference(scs_inference,[],[5,53,10,11,359,454,457,432,188,222,32,30,19,29,44])).
% 1.41/1.57 cnf(508,plain,
% 1.41/1.57 (~P2(f5(a3,a4),f6(x5081,f5(a1,a2)))),
% 1.41/1.57 inference(scs_inference,[],[5,494,8,53,10,11,359,454,457,432,395,188,222,32,30,19,29,44,40,28])).
% 1.41/1.57 cnf(519,plain,
% 1.41/1.57 (P1(f6(a1,x5191),f6(f6(a2,x5192),x5193))),
% 1.41/1.57 inference(scs_inference,[],[490,304,32])).
% 1.41/1.57 cnf(520,plain,
% 1.41/1.57 (~P1(x5201,f6(f6(x5201,x5202),x5203))),
% 1.41/1.57 inference(rename_variables,[],[304])).
% 1.41/1.57 cnf(522,plain,
% 1.41/1.57 (P4(a4,f6(a3,x5221))),
% 1.41/1.57 inference(scs_inference,[],[53,490,454,304,32,29])).
% 1.41/1.57 cnf(525,plain,
% 1.41/1.57 (P4(f6(f6(a3,x5251),x5252),f6(a4,x5253))),
% 1.41/1.57 inference(scs_inference,[],[53,496,490,454,304,176,32,29,30])).
% 1.41/1.57 cnf(528,plain,
% 1.41/1.57 (~P4(f7(x5281,x5282),f7(f6(x5281,x5283),x5284))),
% 1.41/1.57 inference(scs_inference,[],[53,501,496,490,454,304,176,32,29,30,19])).
% 1.41/1.57 cnf(543,plain,
% 1.41/1.57 (~P2(x5431,f6(f6(x5432,x5433),x5434))),
% 1.41/1.57 inference(scs_inference,[],[8,9,53,10,493,498,501,496,490,454,105,395,304,520,176,32,29,30,19,15,40,36,42,28,31])).
% 1.41/1.57 cnf(549,plain,
% 1.41/1.57 (P4(f6(a4,x5491),f6(a3,x5492))),
% 1.41/1.57 inference(scs_inference,[],[53,525,29])).
% 1.41/1.57 cnf(550,plain,
% 1.41/1.57 (P4(f6(f6(a3,x5501),x5502),f6(a4,x5503))),
% 1.41/1.57 inference(rename_variables,[],[525])).
% 1.41/1.57 cnf(551,plain,
% 1.41/1.57 (~P4(f6(x5511,x5512),x5511)),
% 1.41/1.57 inference(rename_variables,[],[53])).
% 1.41/1.57 cnf(553,plain,
% 1.41/1.57 (P1(f6(a1,x5531),f6(a2,x5532))),
% 1.41/1.57 inference(scs_inference,[],[53,551,519,525,29,30])).
% 1.41/1.57 cnf(557,plain,
% 1.41/1.57 (P1(f6(f6(a3,x5571),x5572),f6(a4,x5573))),
% 1.41/1.57 inference(scs_inference,[],[53,551,519,525,550,29,30,19])).
% 1.41/1.57 cnf(582,plain,
% 1.41/1.57 (~P3(f5(a3,a4),f5(a2,a1))),
% 1.41/1.57 inference(scs_inference,[],[64,249,22,27])).
% 1.41/1.57 cnf(583,plain,
% 1.41/1.57 (~P1(f6(f6(x5831,x5832),x5833),x5831)),
% 1.41/1.57 inference(scs_inference,[],[10,114,30])).
% 1.41/1.57 cnf(594,plain,
% 1.41/1.57 (~P2(f5(f6(a1,x5941),f6(a2,x5942)),f6(a1,x5941))),
% 1.41/1.57 inference(scs_inference,[],[10,543,557,582,553,493,114,30,24,17,12,16,50])).
% 1.41/1.57 cnf(633,plain,
% 1.41/1.57 (P4(f6(f6(a2,x6331),x6332),a1)),
% 1.41/1.57 inference(scs_inference,[],[10,519,30])).
% 1.41/1.57 cnf(634,plain,
% 1.41/1.57 (~P1(f6(x6341,x6342),x6341)),
% 1.41/1.57 inference(rename_variables,[],[10])).
% 1.41/1.57 cnf(636,plain,
% 1.41/1.57 (~P1(f6(x6361,x6362),f6(f6(x6361,x6363),x6364))),
% 1.41/1.57 inference(scs_inference,[],[10,634,583,519,30,32])).
% 1.41/1.57 cnf(662,plain,
% 1.41/1.57 (P1(f6(a4,x6621),f6(a3,x6622))),
% 1.41/1.57 inference(scs_inference,[],[10,557,32])).
% 1.41/1.57 cnf(665,plain,
% 1.41/1.57 (P4(a1,f6(a2,x6651))),
% 1.41/1.57 inference(scs_inference,[],[10,53,633,557,32,29])).
% 1.41/1.57 cnf(666,plain,
% 1.41/1.57 (~P4(f6(x6661,x6662),x6661)),
% 1.41/1.57 inference(rename_variables,[],[53])).
% 1.41/1.57 cnf(668,plain,
% 1.41/1.57 (P1(f6(f6(a3,x6681),x6682),a4)),
% 1.41/1.57 inference(scs_inference,[],[10,53,666,633,557,32,29,30])).
% 1.41/1.57 cnf(672,plain,
% 1.41/1.57 (P1(f6(f6(a2,x6721),x6722),a1)),
% 1.41/1.57 inference(scs_inference,[],[10,53,666,633,557,32,29,30,19])).
% 1.41/1.57 cnf(680,plain,
% 1.41/1.57 (~P2(x6801,f6(x6802,x6801))),
% 1.41/1.57 inference(rename_variables,[],[8])).
% 1.41/1.57 cnf(688,plain,
% 1.41/1.57 (~P2(f5(a3,a4),x6881)),
% 1.41/1.57 inference(scs_inference,[],[10,53,666,636,508,633,522,401,557,318,519,582,460,8,680,32,29,30,19,15,40,46,28,31])).
% 1.41/1.57 cnf(693,plain,
% 1.41/1.57 (P1(f6(a4,x6931),f6(f6(a3,x6932),x6933))),
% 1.41/1.57 inference(scs_inference,[],[662,636,32])).
% 1.41/1.57 cnf(700,plain,
% 1.41/1.57 (P5(f6(a4,x7001),f7(f6(a3,x7002),x7003))),
% 1.41/1.57 inference(scs_inference,[],[72,688,662,549,401,636,460,8,32,29,46])).
% 1.41/1.57 cnf(721,plain,
% 1.41/1.57 (P1(a1,f6(a2,x7211))),
% 1.41/1.57 inference(scs_inference,[],[665,19])).
% 1.41/1.57 cnf(744,plain,
% 1.41/1.57 (~P1(f7(x7441,x7442),f7(x7441,x7443))),
% 1.41/1.57 inference(scs_inference,[],[75,66,69,668,665,594,406,498,662,528,501,493,19,24,16,50,17,18,23,49,26,13,32,30])).
% 1.41/1.57 cnf(750,plain,
% 1.41/1.57 (~P2(f5(a3,f6(a4,x7501)),f6(a3,x7502))),
% 1.41/1.57 inference(scs_inference,[],[53,75,66,69,668,665,594,406,498,662,470,528,501,493,222,19,24,16,50,17,18,23,49,26,13,32,30,41,31])).
% 1.41/1.57 cnf(760,plain,
% 1.41/1.57 (P1(f6(a4,x7601),a3)),
% 1.41/1.57 inference(scs_inference,[],[693,583,32])).
% 1.41/1.57 cnf(764,plain,
% 1.41/1.57 (P4(a1,f6(f6(a2,x7641),x7642))),
% 1.41/1.57 inference(scs_inference,[],[69,693,583,304,32,30])).
% 1.41/1.57 cnf(767,plain,
% 1.41/1.57 (~P4(f7(x7671,x7672),f7(x7671,x7673))),
% 1.41/1.57 inference(scs_inference,[],[69,744,693,583,304,32,30,19])).
% 1.41/1.57 cnf(788,plain,
% 1.41/1.57 (~P1(f7(x7881,x7882),f6(f7(x7881,x7883),x7884))),
% 1.41/1.57 inference(scs_inference,[],[744,10,32])).
% 1.41/1.57 cnf(791,plain,
% 1.41/1.57 (~P4(f7(x7911,x7912),f6(f7(x7911,x7913),x7914))),
% 1.41/1.57 inference(scs_inference,[],[767,744,53,10,32,29])).
% 1.41/1.57 cnf(794,plain,
% 1.41/1.57 (P1(f6(f6(a2,x7941),x7942),f6(a1,x7943))),
% 1.41/1.57 inference(scs_inference,[],[767,672,744,114,53,10,32,29,30])).
% 1.41/1.57 cnf(797,plain,
% 1.41/1.57 (P1(a1,f6(f6(a2,x7971),x7972))),
% 1.41/1.57 inference(scs_inference,[],[767,672,764,744,114,53,10,32,29,30,19])).
% 1.41/1.57 cnf(804,plain,
% 1.41/1.57 (P2(f5(f7(a1,x8041),a1),a2)+P5(f7(x8042,x8043),f7(x8042,x8044))),
% 1.41/1.57 inference(scs_inference,[],[77,75,767,672,764,744,79,318,114,53,10,32,29,30,19,51,12,15])).
% 1.41/1.57 cnf(807,plain,
% 1.41/1.57 (~P5(f7(f6(x8071,x8072),x8073),x8071)),
% 1.41/1.57 inference(rename_variables,[],[222])).
% 1.41/1.57 cnf(812,plain,
% 1.41/1.57 (P2(f5(f7(a1,x8121),a1),a2)+~P2(f5(f7(x8122,x8123),x8122),f7(x8122,x8124))),
% 1.41/1.57 inference(scs_inference,[],[77,75,69,767,672,764,310,744,79,318,114,222,807,53,10,32,29,30,19,51,12,15,33,93,31])).
% 1.41/1.57 cnf(832,plain,
% 1.41/1.57 (P4(f6(a4,x8321),f6(f6(a3,x8322),x8323))),
% 1.41/1.57 inference(scs_inference,[],[69,794,525,171,583,222,33,32,29])).
% 1.41/1.57 cnf(838,plain,
% 1.41/1.57 (~P1(f6(f7(x8381,x8382),x8383),f7(x8381,x8384))),
% 1.41/1.57 inference(scs_inference,[],[69,791,794,525,171,583,111,304,222,33,32,29,42,30])).
% 1.41/1.57 cnf(841,plain,
% 1.41/1.57 (~P3(f5(a1,a2),f5(f7(a1,x8411),a1))),
% 1.41/1.57 inference(scs_inference,[],[77,69,791,794,525,403,543,171,633,318,583,111,304,222,33,32,29,42,30,51])).
% 1.41/1.57 cnf(847,plain,
% 1.41/1.57 (P2(f5(a3,a4),a3)+P5(a3,f7(f6(a4,x8471),x8472))),
% 1.41/1.57 inference(scs_inference,[],[77,69,791,794,525,403,543,171,633,688,152,318,583,111,304,222,184,33,32,29,42,30,51,46])).
% 1.41/1.57 cnf(851,plain,
% 1.41/1.57 (~P4(f6(f7(x8511,x8512),x8513),f7(x8511,x8514))),
% 1.41/1.57 inference(scs_inference,[],[77,69,791,794,525,403,543,171,633,688,152,318,583,111,304,222,184,33,32,29,42,30,51,46,19])).
% 1.41/1.57 cnf(857,plain,
% 1.41/1.57 (~P1(x8571,f6(x8571,x8572))),
% 1.41/1.57 inference(rename_variables,[],[176])).
% 1.41/1.57 cnf(863,plain,
% 1.41/1.57 (~P2(f5(a3,a4),x8631)),
% 1.41/1.57 inference(rename_variables,[],[688])).
% 1.41/1.57 cnf(864,plain,
% 1.41/1.57 (~P3(f5(f7(a1,x8641),a1),f5(a1,a2))),
% 1.41/1.57 inference(scs_inference,[],[841,310,3,401,688,152,286,176,28,32,29,847,27])).
% 1.41/1.57 cnf(893,plain,
% 1.41/1.57 (~P2(f5(a1,a2),f7(x8931,x8932))),
% 1.41/1.57 inference(scs_inference,[],[79,838,851,700,832,841,797,721,750,791,522,310,403,3,401,688,863,152,286,176,857,8,222,28,32,29,847,27,51,24,17,18,16,50,49,23,26,13,97,31])).
% 1.41/1.57 cnf(942,plain,
% 1.41/1.57 (P4(a2,f6(a1,x9421))),
% 1.41/1.57 inference(scs_inference,[],[79,72,864,114,28,29])).
% 1.41/1.57 cnf(954,plain,
% 1.41/1.57 (P5(f7(x9541,x9542),f7(x9541,x9543))),
% 1.41/1.57 inference(scs_inference,[],[79,72,66,69,864,838,114,222,28,29,33,41,812,804])).
% 1.41/1.57 cnf(991,plain,
% 1.41/1.57 (P1(x9911,f6(f7(x9911,x9912),x9913))),
% 1.41/1.57 inference(scs_inference,[],[77,103,954,942,760,893,359,864,788,184,222,33,28,24,17,50,49,18,23,16,26,13,32])).
% 1.41/1.57 cnf(1011,plain,
% 1.41/1.57 (P1(x10111,f7(x10111,x10112))),
% 1.41/1.57 inference(scs_inference,[],[991,838,32])).
% 1.41/1.57 cnf(1045,plain,
% 1.41/1.57 (~P1(f7(f6(x10451,x10452),x10453),f7(x10451,x10454))),
% 1.41/1.57 inference(scs_inference,[],[528,744,30])).
% 1.41/1.57 cnf(1048,plain,
% 1.41/1.57 (~P4(f7(f6(x10481,x10482),x10483),f7(x10481,x10484))),
% 1.41/1.57 inference(scs_inference,[],[528,744,30,19])).
% 1.41/1.57 cnf(1050,plain,
% 1.41/1.57 (~P5(x10501,f6(f7(x10501,x10502),x10503))),
% 1.41/1.57 inference(scs_inference,[],[991,528,788,744,11,30,19,43])).
% 1.41/1.57 cnf(1070,plain,
% 1.41/1.57 (P4(x10701,f7(x10701,x10702))),
% 1.41/1.57 inference(scs_inference,[],[103,1050,1048,191,401,30,89,29])).
% 1.41/1.57 cnf(1073,plain,
% 1.41/1.57 (~P2(x10731,f6(x10732,x10733))),
% 1.41/1.57 inference(scs_inference,[],[103,1050,1048,191,543,359,401,30,89,29,31])).
% 1.41/1.57 cnf(1084,plain,
% 1.41/1.57 (~P4(x10841,f6(x10841,x10842))),
% 1.41/1.57 inference(rename_variables,[],[114])).
% 1.41/1.57 cnf(1087,plain,
% 1.41/1.57 (P1(f7(x10871,x10872),x10871)),
% 1.41/1.57 inference(rename_variables,[],[103])).
% 1.41/1.57 cnf(1092,plain,
% 1.41/1.57 (P1(x10921,f7(x10921,x10922))),
% 1.41/1.57 inference(rename_variables,[],[1011])).
% 1.41/1.57 cnf(1116,plain,
% 1.41/1.57 (~P2(f5(a1,a2),x11161)),
% 1.41/1.57 inference(scs_inference,[],[105,114,1084,111,103,1087,1011,1092,1070,1073,1045,1050,166,688,222,11,29,30,19,43,24,17,49,50,18,26,13,23,16,33,28])).
% 1.41/1.57 cnf(1123,plain,
% 1.41/1.57 (P2(f5(a1,a2),a4)),
% 1.41/1.57 inference(scs_inference,[],[66,105,114,1084,111,103,1087,1011,1092,1070,1073,1045,1050,166,688,788,222,11,29,30,19,43,24,17,49,50,18,26,13,23,16,33,28,39,158,34])).
% 1.41/1.57 cnf(1126,plain,
% 1.41/1.57 ($false),
% 1.41/1.57 inference(scs_inference,[],[1123,1116]),
% 1.41/1.57 ['proof']).
% 1.41/1.57 % SZS output end Proof
% 1.41/1.57 % Total time :0.920000s
%------------------------------------------------------------------------------