TSTP Solution File: LCL090-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL090-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n031.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 06:47:56 EDT 2023
% Result : Unsatisfiable 121.03s 121.26s
% Output : CNFRefutation 121.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL090-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n031.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 : Thu Aug 24 19:04:06 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 121.03/121.23 %-------------------------------------------
% 121.03/121.23 % File :CSE---1.6
% 121.03/121.23 % Problem :theBenchmark
% 121.03/121.23 % Transform :cnf
% 121.03/121.23 % Format :tptp:raw
% 121.03/121.23 % Command :java -jar mcs_scs.jar %d %s
% 121.03/121.23
% 121.03/121.23 % Result :Theorem 120.460000s
% 121.03/121.23 % Output :CNFRefutation 120.460000s
% 121.03/121.23 %-------------------------------------------
% 121.03/121.26 %--------------------------------------------------------------------------
% 121.03/121.26 % File : LCL090-1 : TPTP v8.1.2. Released v1.0.0.
% 121.03/121.26 % Domain : Logic Calculi (Implicational propositional)
% 121.03/121.26 % Problem : IC-1 depends on the 5th Lukasiewicz axiom
% 121.03/121.26 % Version : [TPTP] axioms.
% 121.03/121.26 % English : Axiomatisations of the Implicational propositional calculus
% 121.03/121.26 % are {IC-2,IC-3,IC-4} by Tarski-Bernays and single Lukasiewicz
% 121.03/121.26 % axioms.Show that IC-1 depends on the fifth Lukasiewicz axiom.
% 121.03/121.26
% 121.03/121.26 % Refs : [Luk48] Lukasiewicz (1948), The Shortest Axiom of the Implicat
% 121.03/121.26 % : [Pfe88] Pfenning (1988), Single Axioms in the Implicational Pr
% 121.03/121.26 % Source : [TPTP]
% 121.03/121.26 % Names :
% 121.03/121.26
% 121.03/121.26 % Status : Unsatisfiable
% 121.03/121.26 % Rating : 0.00 v6.1.0, 0.14 v6.0.0, 0.00 v5.5.0, 0.19 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.15 v5.1.0, 0.25 v5.0.0, 0.20 v4.1.0, 0.27 v4.0.1, 0.00 v2.7.0, 0.12 v2.6.0, 0.29 v2.5.0, 0.00 v2.4.0, 0.00 v2.3.0, 0.14 v2.2.1, 0.44 v2.1.0, 0.50 v2.0.0
% 121.03/121.26 % Syntax : Number of clauses : 3 ( 2 unt; 0 nHn; 2 RR)
% 121.03/121.26 % Number of literals : 5 ( 0 equ; 3 neg)
% 121.03/121.26 % Maximal clause size : 3 ( 1 avg)
% 121.03/121.26 % Maximal term depth : 5 ( 2 avg)
% 121.03/121.26 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 121.03/121.26 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% 121.03/121.26 % Number of variables : 7 ( 2 sgn)
% 121.03/121.26 % SPC : CNF_UNS_RFO_NEQ_HRN
% 121.03/121.26
% 121.03/121.26 % Comments :
% 121.03/121.26 %--------------------------------------------------------------------------
% 121.03/121.26 cnf(condensed_detachment,axiom,
% 121.03/121.26 ( ~ is_a_theorem(implies(X,Y))
% 121.03/121.26 | ~ is_a_theorem(X)
% 121.03/121.26 | is_a_theorem(Y) ) ).
% 121.03/121.26
% 121.03/121.26 cnf(ic_JLukasiewicz_5,axiom,
% 121.03/121.26 is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P))))) ).
% 121.03/121.26
% 121.03/121.26 cnf(prove_ic_1,negated_conjecture,
% 121.03/121.26 ~ is_a_theorem(implies(a,a)) ).
% 121.03/121.26
% 121.03/121.26 %--------------------------------------------------------------------------
% 121.03/121.26 %-------------------------------------------
% 121.03/121.26 % Proof found
% 121.03/121.26 % SZS status Theorem for theBenchmark
% 121.03/121.26 % SZS output start Proof
% 121.03/121.29 %ClaNum:3(EqnAxiom:0)
% 121.03/121.29 %VarNum:13(SingletonVarNum:7)
% 121.03/121.29 %MaxLitNum:3
% 121.03/121.29 %MaxfuncDepth:4
% 121.03/121.29 %SharedTerms:3
% 121.03/121.29 %goalClause: 2
% 121.03/121.29 %singleGoalClaCount:1
% 121.03/121.29 [2]~P1(f1(a2,a2))
% 121.03/121.29 [1]P1(f1(f1(f1(x11,x12),f1(x13,x14)),f1(f1(x14,x11),f1(x15,f1(x13,x11)))))
% 121.03/121.29 [3]P1(x31)+~P1(x32)+~P1(f1(x32,x31))
% 121.03/121.29 %EqnAxiom
% 121.03/121.29
% 121.03/121.29 %-------------------------------------------
% 121.16/121.32 cnf(5,plain,
% 121.16/121.32 (P1(f1(f1(x51,x52),f1(x53,f1(x54,x52))))+~P1(f1(f1(x52,x55),f1(x54,x51)))),
% 121.16/121.32 inference(scs_inference,[],[1,3])).
% 121.16/121.32 cnf(6,plain,
% 121.16/121.32 (P1(f1(f1(f1(x61,f1(x62,x63)),f1(x63,x64)),f1(x65,f1(f1(x66,x63),f1(x63,x64)))))),
% 121.16/121.32 inference(scs_inference,[],[1,5])).
% 121.16/121.32 cnf(8,plain,
% 121.16/121.32 (P1(f1(x81,f1(f1(x82,x83),f1(x83,x84))))+~P1(f1(f1(x85,f1(x86,x83)),f1(x83,x84)))),
% 121.16/121.32 inference(scs_inference,[],[6,3])).
% 121.16/121.32 cnf(10,plain,
% 121.16/121.32 (P1(f1(f1(f1(x101,f1(f1(x102,x103),f1(x103,x101))),x104),f1(x105,f1(f1(x106,x101),x104))))),
% 121.16/121.32 inference(scs_inference,[],[6,8,5])).
% 121.16/121.32 cnf(11,plain,
% 121.16/121.32 (P1(f1(x111,f1(f1(x112,x113),f1(x113,f1(f1(x114,x115),f1(x115,x113))))))),
% 121.16/121.32 inference(scs_inference,[],[1,8,5])).
% 121.16/121.32 cnf(12,plain,
% 121.16/121.32 (P1(f1(x121,f1(f1(x122,f1(x123,x124)),f1(f1(x123,x124),f1(x125,f1(x126,f1(x123,x124)))))))),
% 121.16/121.32 inference(scs_inference,[],[6,5,8])).
% 121.16/121.32 cnf(13,plain,
% 121.16/121.32 (P1(f1(f1(f1(x131,x132),x133),f1(x134,f1(f1(x135,x131),x133))))+~P1(f1(f1(x136,f1(x137,x131)),f1(x131,x132)))),
% 121.16/121.32 inference(scs_inference,[],[5,8])).
% 121.16/121.32 cnf(15,plain,
% 121.16/121.32 (P1(f1(f1(f1(x151,f1(x152,f1(x153,x151))),x154),f1(x155,f1(f1(x156,x151),x154))))+~P1(f1(f1(f1(x153,x151),x157),f1(x152,x158)))),
% 121.16/121.32 inference(scs_inference,[],[1,13,3])).
% 121.16/121.32 cnf(17,plain,
% 121.16/121.32 (P1(f1(x171,f1(f1(x172,f1(x173,x174)),f1(f1(x175,x173),f1(x176,f1(x177,x173))))))+~P1(f1(f1(x178,f1(x179,f1(x173,x174))),f1(f1(x173,x174),f1(x177,x175))))),
% 121.16/121.32 inference(scs_inference,[],[1,13,3])).
% 121.16/121.32 cnf(18,plain,
% 121.16/121.32 (P1(f1(f1(f1(x181,x182),x183),f1(x184,f1(f1(x185,x181),x183))))+~P1(f1(f1(f1(f1(x186,x187),f1(x188,x189)),f1(f1(x189,x186),f1(x1810,f1(x188,x186)))),f1(f1(x1811,f1(x1812,x181)),f1(x181,x182))))),
% 121.16/121.32 inference(scs_inference,[],[1,3,13])).
% 121.16/121.32 cnf(19,plain,
% 121.16/121.32 (P1(f1(x191,f1(f1(x192,x193),f1(x193,f1(f1(x194,x195),f1(x196,x193))))))),
% 121.16/121.32 inference(scs_inference,[],[6,10,3])).
% 121.16/121.32 cnf(21,plain,
% 121.16/121.32 (P1(f1(f1(f1(x211,f1(f1(x212,x213),f1(x213,x211))),x214),f1(x215,f1(f1(x216,x211),x214))))),
% 121.16/121.32 inference(rename_variables,[],[10])).
% 121.16/121.32 cnf(23,plain,
% 121.16/121.32 (P1(f1(f1(f1(x231,f1(f1(x232,x233),f1(x234,x231))),x235),f1(x236,f1(f1(x237,x231),x235))))),
% 121.16/121.32 inference(scs_inference,[],[6,10,21,3,13])).
% 121.16/121.32 cnf(26,plain,
% 121.16/121.32 (P1(f1(x261,f1(f1(x262,f1(x263,x264)),f1(f1(f1(f1(x265,x266),f1(x266,x264)),x263),f1(x267,f1(x264,x263))))))),
% 121.16/121.32 inference(scs_inference,[],[6,10,21,11,3,13,17])).
% 121.16/121.32 cnf(29,plain,
% 121.16/121.32 (P1(f1(f1(x291,f1(x292,x293)),f1(f1(f1(f1(x294,x295),f1(x295,x293)),x292),f1(x296,f1(x293,x292)))))),
% 121.16/121.32 inference(scs_inference,[],[23,26,3])).
% 121.16/121.32 cnf(33,plain,
% 121.16/121.32 (P1(f1(f1(x331,f1(x332,x333)),f1(f1(x332,x333),f1(x334,f1(x335,f1(x332,x333))))))),
% 121.16/121.32 inference(scs_inference,[],[12,29,3])).
% 121.16/121.32 cnf(37,plain,
% 121.16/121.32 (P1(f1(f1(x371,x372),f1(x372,f1(f1(x373,x374),f1(x375,x372)))))),
% 121.16/121.32 inference(scs_inference,[],[33,19,3])).
% 121.16/121.32 cnf(41,plain,
% 121.16/121.32 (P1(f1(f1(f1(f1(x411,x412),f1(x413,x414)),x415),f1(x416,f1(x414,x415))))),
% 121.16/121.32 inference(scs_inference,[],[37,1,3])).
% 121.16/121.32 cnf(49,plain,
% 121.16/121.32 (P1(f1(f1(x491,f1(x492,x493)),f1(f1(x494,x495),f1(x496,f1(x491,f1(x492,x493))))))),
% 121.16/121.32 inference(scs_inference,[],[41,37,3])).
% 121.16/121.32 cnf(53,plain,
% 121.16/121.32 (P1(f1(f1(f1(x531,f1(x532,f1(x533,x534))),x532),f1(x535,f1(f1(x536,x537),x532))))),
% 121.16/121.32 inference(scs_inference,[],[49,1,3])).
% 121.16/121.32 cnf(58,plain,
% 121.16/121.32 (P1(f1(f1(x581,x582),f1(x583,f1(f1(f1(x584,x585),f1(x586,x587)),f1(f1(x587,x584),f1(x588,f1(x586,x584)))))))),
% 121.16/121.32 inference(scs_inference,[],[1,49,3])).
% 121.16/121.32 cnf(62,plain,
% 121.16/121.32 (P1(f1(x621,f1(f1(f1(x622,x623),f1(x624,x625)),f1(f1(x625,x622),f1(x626,f1(x624,x622))))))),
% 121.16/121.32 inference(scs_inference,[],[1,58,3])).
% 121.16/121.32 cnf(66,plain,
% 121.16/121.32 (P1(f1(x661,f1(f1(x662,x663),f1(f1(f1(x664,x665),f1(x666,x667)),f1(f1(x667,x664),f1(x668,f1(x666,x664)))))))),
% 121.16/121.32 inference(scs_inference,[],[53,62,3])).
% 121.16/121.32 cnf(71,plain,
% 121.16/121.32 (P1(f1(f1(f1(f1(f1(x711,x712),f1(x713,x714)),f1(f1(x714,x711),f1(x715,f1(x713,x711)))),x716),f1(x717,f1(f1(x718,x719),x716))))),
% 121.16/121.32 inference(scs_inference,[],[1,66,3])).
% 121.16/121.32 cnf(76,plain,
% 121.16/121.32 (P1(f1(x761,f1(f1(x762,x763),f1(f1(f1(x764,f1(x765,x766)),f1(x766,x767)),f1(x768,f1(f1(x769,x766),f1(x766,x767)))))))),
% 121.16/121.32 inference(scs_inference,[],[1,71,3])).
% 121.16/121.32 cnf(81,plain,
% 121.16/121.32 (P1(f1(f1(x811,x812),f1(f1(f1(x813,f1(x814,x815)),f1(x815,x816)),f1(x817,f1(f1(x818,x815),f1(x815,x816))))))),
% 121.16/121.32 inference(scs_inference,[],[1,76,3])).
% 121.16/121.32 cnf(86,plain,
% 121.16/121.32 (P1(f1(f1(f1(x861,f1(f1(x862,x863),f1(x863,x864))),x865),f1(x866,f1(f1(f1(x867,f1(x868,x863)),f1(x863,x864)),x865))))),
% 121.16/121.32 inference(scs_inference,[],[81,1,3])).
% 121.16/121.32 cnf(90,plain,
% 121.16/121.32 (P1(f1(x901,f1(f1(f1(x902,f1(x903,x904)),f1(x904,x905)),f1(x906,f1(f1(x907,x908),f1(f1(x909,x904),f1(x904,x905)))))))),
% 121.16/121.32 inference(scs_inference,[],[86,53,3])).
% 121.16/121.32 cnf(95,plain,
% 121.16/121.32 (P1(f1(f1(f1(x951,f1(x952,x953)),f1(x953,x954)),f1(x955,f1(f1(x956,x957),f1(f1(x958,x953),f1(x953,x954))))))),
% 121.16/121.32 inference(scs_inference,[],[90,62,3])).
% 121.16/121.32 cnf(99,plain,
% 121.16/121.32 (P1(f1(x991,f1(f1(x992,x993),f1(x993,f1(f1(x994,x995),f1(f1(x996,x997),f1(x997,x993)))))))),
% 121.16/121.32 inference(scs_inference,[],[95,6,3])).
% 121.16/121.33 cnf(104,plain,
% 121.16/121.33 (P1(f1(f1(x1041,x1042),f1(x1042,f1(f1(x1043,x1044),f1(f1(x1045,x1046),f1(x1046,x1042))))))),
% 121.16/121.33 inference(scs_inference,[],[99,81,3])).
% 121.16/121.33 cnf(113,plain,
% 121.16/121.33 (P1(f1(f1(f1(f1(x1131,x1132),f1(f1(x1133,x1134),f1(x1134,x1135))),x1136),f1(x1137,f1(x1135,x1136))))),
% 121.16/121.33 inference(scs_inference,[],[104,1,3])).
% 121.16/121.33 cnf(130,plain,
% 121.16/121.33 (P1(f1(f1(f1(f1(x1301,x1302),f1(x1302,x1303)),f1(x1304,f1(x1305,x1302))),f1(x1306,f1(x1307,f1(x1304,f1(x1305,x1302))))))),
% 121.16/121.33 inference(scs_inference,[],[6,1,3])).
% 121.16/121.33 cnf(150,plain,
% 121.16/121.33 (P1(f1(f1(f1(x1501,f1(x1502,f1(x1503,x1504))),x1505),f1(x1506,f1(f1(x1503,x1504),x1505))))),
% 121.16/121.33 inference(scs_inference,[],[33,1,3])).
% 121.16/121.33 cnf(156,plain,
% 121.16/121.33 (P1(f1(x1561,f1(f1(x1562,x1563),f1(x1564,f1(x1565,f1(x1566,f1(x1562,x1563)))))))),
% 121.16/121.33 inference(scs_inference,[],[41,150,3])).
% 121.16/121.33 cnf(161,plain,
% 121.16/121.33 (P1(f1(f1(x1611,x1612),f1(x1613,f1(x1614,f1(x1615,f1(x1611,x1612))))))),
% 121.16/121.33 inference(scs_inference,[],[41,156,3])).
% 121.16/121.33 cnf(164,plain,
% 121.16/121.33 (P1(f1(x1641,f1(x1642,f1(x1643,f1(f1(x1644,x1645),f1(x1646,x1642))))))),
% 121.16/121.33 inference(scs_inference,[],[41,161,3,15])).
% 121.16/121.33 cnf(169,plain,
% 121.16/121.33 (P1(f1(x1691,f1(x1692,f1(x1693,f1(x1694,f1(f1(x1695,x1696),f1(x1697,x1693)))))))),
% 121.16/121.33 inference(scs_inference,[],[164,130,3])).
% 121.16/121.33 cnf(173,plain,
% 121.16/121.33 (P1(f1(x1731,f1(f1(x1732,f1(x1733,x1734)),f1(f1(f1(f1(x1735,x1736),f1(x1737,f1(x1733,x1734))),x1733),f1(x1738,f1(x1739,x1733))))))),
% 121.16/121.33 inference(scs_inference,[],[41,169,3,17])).
% 121.16/121.33 cnf(174,plain,
% 121.16/121.33 (P1(f1(f1(x1741,f1(x1742,x1743)),f1(f1(f1(f1(x1744,x1745),f1(x1746,f1(x1742,x1743))),x1742),f1(x1747,f1(x1748,x1742)))))),
% 121.16/121.33 inference(scs_inference,[],[41,173,3])).
% 121.16/121.33 cnf(178,plain,
% 121.16/121.33 (P1(f1(f1(f1(f1(x1781,x1782),f1(x1783,f1(x1784,f1(x1785,x1786)))),x1784),f1(x1787,f1(x1788,x1784))))),
% 121.16/121.33 inference(scs_inference,[],[41,174,3])).
% 121.16/121.33 cnf(181,plain,
% 121.16/121.33 (~P1(f1(f1(f1(f1(x1811,f1(f1(x1811,x1812),f1(x1813,f1(x1814,x1812)))),x1815),f1(x1816,f1(f1(x1817,x1811),x1815))),f1(a2,a2)))),
% 121.16/121.33 inference(scs_inference,[],[2,41,3,18])).
% 121.16/121.33 cnf(186,plain,
% 121.16/121.33 (P1(f1(x1861,f1(f1(f1(x1862,f1(x1863,x1864)),f1(x1864,x1865)),f1(x1866,f1(x1867,f1(f1(x1868,x1864),f1(x1864,x1865)))))))),
% 121.16/121.33 inference(scs_inference,[],[41,86,3])).
% 121.16/121.33 cnf(191,plain,
% 121.16/121.33 (P1(f1(f1(f1(x1911,f1(x1912,x1913)),f1(x1913,x1914)),f1(x1915,f1(x1916,f1(f1(x1917,x1913),f1(x1913,x1914))))))),
% 121.16/121.33 inference(scs_inference,[],[41,186,3])).
% 121.16/121.33 cnf(195,plain,
% 121.16/121.33 (P1(f1(x1951,f1(x1952,f1(f1(x1953,x1954),f1(x1954,f1(x1955,f1(x1956,x1954)))))))),
% 121.16/121.33 inference(scs_inference,[],[178,191,3])).
% 121.16/121.33 cnf(200,plain,
% 121.16/121.33 (P1(f1(x2001,f1(f1(x2002,x2003),f1(x2003,f1(x2004,f1(x2005,x2003))))))),
% 121.16/121.33 inference(scs_inference,[],[173,195,3])).
% 121.16/121.33 cnf(203,plain,
% 121.16/121.33 (P1(f1(f1(x2031,x2032),f1(x2032,f1(x2033,f1(x2034,x2032)))))),
% 121.16/121.33 inference(scs_inference,[],[200,53,3,15])).
% 121.16/121.33 cnf(211,plain,
% 121.16/121.33 (P1(f1(f1(x2111,f1(x2112,x2113)),f1(x2114,f1(x2115,f1(x2111,f1(x2112,x2113))))))),
% 121.16/121.33 inference(scs_inference,[],[113,203,3])).
% 121.16/121.33 cnf(215,plain,
% 121.16/121.33 (P1(f1(x2151,f1(f1(x2152,x2153),f1(x2153,f1(x2154,f1(x2155,f1(x2156,x2153)))))))),
% 121.16/121.33 inference(scs_inference,[],[211,6,3])).
% 121.16/121.33 cnf(220,plain,
% 121.16/121.33 (P1(f1(f1(x2201,x2202),f1(x2202,f1(x2203,f1(x2204,f1(x2205,x2202))))))),
% 121.16/121.33 inference(scs_inference,[],[200,215,3])).
% 121.16/121.33 cnf(284,plain,
% 121.16/121.33 (P1(f1(f1(f1(x2841,f1(x2842,x2843)),x2844),f1(x2845,f1(x2843,x2844))))),
% 121.16/121.33 inference(scs_inference,[],[203,1,3])).
% 121.16/121.33 cnf(288,plain,
% 121.16/121.33 (P1(f1(x2881,f1(x2882,f1(f1(f1(x2883,f1(x2884,x2885)),x2886),f1(x2887,f1(x2885,x2886))))))),
% 121.16/121.33 inference(scs_inference,[],[211,284,3])).
% 121.16/121.33 cnf(292,plain,
% 121.16/121.33 (P1(f1(x2921,f1(f1(f1(x2922,f1(x2923,x2924)),x2925),f1(x2926,f1(x2924,x2925)))))),
% 121.16/121.33 inference(scs_inference,[],[211,288,3])).
% 121.16/121.33 cnf(299,plain,
% 121.16/121.33 (P1(f1(x2991,f1(f1(x2992,f1(x2993,x2994)),f1(f1(f1(x2995,f1(x2993,x2994)),x2993),f1(x2996,f1(x2997,x2993))))))),
% 121.16/121.33 inference(scs_inference,[],[215,292,3,17])).
% 121.16/121.33 cnf(300,plain,
% 121.16/121.33 (P1(f1(f1(x3001,f1(x3002,x3003)),f1(f1(f1(x3004,f1(x3002,x3003)),x3002),f1(x3005,f1(x3006,x3002)))))),
% 121.16/121.33 inference(scs_inference,[],[215,299,3])).
% 121.16/121.33 cnf(304,plain,
% 121.16/121.33 (P1(f1(f1(f1(x3041,f1(x3042,f1(x3043,f1(x3044,x3041)))),x3045),f1(x3046,f1(f1(x3047,x3041),x3045))))),
% 121.16/121.33 inference(scs_inference,[],[215,1,3])).
% 121.16/121.33 cnf(322,plain,
% 121.16/121.33 (P1(f1(f1(f1(x3221,f1(x3222,f1(x3223,x3221))),x3224),f1(x3225,f1(f1(x3226,x3221),x3224))))),
% 121.16/121.33 inference(scs_inference,[],[220,300,3,13])).
% 121.16/121.33 cnf(347,plain,
% 121.16/121.33 (P1(f1(f1(f1(x3471,x3472),f1(x3473,f1(x3474,x3471))),f1(x3475,f1(x3476,f1(x3473,f1(x3474,x3471))))))),
% 121.16/121.33 inference(scs_inference,[],[284,1,3])).
% 121.16/121.33 cnf(378,plain,
% 121.16/121.33 (P1(f1(x3781,f1(x3782,f1(f1(f1(x3783,f1(x3784,x3785)),x3784),f1(x3786,f1(x3787,x3784))))))),
% 121.16/121.33 inference(scs_inference,[],[300,347,3])).
% 121.16/121.33 cnf(383,plain,
% 121.16/121.33 (P1(f1(x3831,f1(f1(f1(x3832,f1(x3833,x3834)),x3833),f1(x3835,f1(x3836,x3833)))))),
% 121.16/121.33 inference(scs_inference,[],[304,378,3])).
% 121.16/121.33 cnf(387,plain,
% 121.16/121.33 (P1(f1(f1(f1(x3871,f1(x3872,x3873)),x3872),f1(x3874,f1(x3875,x3872))))),
% 121.16/121.33 inference(scs_inference,[],[322,383,3])).
% 121.16/121.33 cnf(447,plain,
% 121.16/121.33 (P1(f1(f1(f1(x4471,x4472),f1(x4473,f1(x4472,x4474))),f1(x4475,f1(x4476,f1(x4473,f1(x4472,x4474))))))),
% 121.16/121.33 inference(scs_inference,[],[387,1,3])).
% 121.16/121.33 cnf(451,plain,
% 121.16/121.33 (P1(f1(x4511,f1(x4512,f1(x4513,f1(x4514,x4514)))))),
% 121.16/121.33 inference(scs_inference,[],[387,447,3])).
% 121.16/121.33 cnf(461,plain,
% 121.16/121.33 (P1(f1(x4611,f1(x4612,f1(x4613,x4613))))),
% 121.16/121.33 inference(scs_inference,[],[387,451,3])).
% 121.16/121.33 cnf(465,plain,
% 121.20/121.33 ($false),
% 121.20/121.33 inference(scs_inference,[],[387,461,181,3]),
% 121.20/121.33 ['proof']).
% 121.20/121.33 % SZS output end Proof
% 121.20/121.33 % Total time :120.460000s
%------------------------------------------------------------------------------