TSTP Solution File: GEO213+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n021.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 22:43:44 EDT 2023
% Result : Theorem 1.39s 1.47s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 : Tue Aug 29 23:13:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.62 start to proof:theBenchmark
% 1.39/1.47 %-------------------------------------------
% 1.39/1.47 % File :CSE---1.6
% 1.39/1.47 % Problem :theBenchmark
% 1.39/1.47 % Transform :cnf
% 1.39/1.47 % Format :tptp:raw
% 1.39/1.47 % Command :java -jar mcs_scs.jar %d %s
% 1.39/1.47
% 1.39/1.47 % Result :Theorem 0.780000s
% 1.39/1.47 % Output :CNFRefutation 0.780000s
% 1.39/1.47 %-------------------------------------------
% 1.39/1.47 %------------------------------------------------------------------------------
% 1.39/1.47 % File : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% 1.39/1.47 % Domain : Geometry (Constructive)
% 1.39/1.47 % Problem : Corollary to non-orthogonal lines and a third line
% 1.39/1.47 % Version : [vPl95] axioms : Reduced > Especial.
% 1.39/1.47 % English : If line L is not orthogonal to line M, then a third line N
% 1.39/1.47 % is distinct from L or not orthogonal to M.
% 1.39/1.47
% 1.39/1.47 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 1.39/1.47 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 1.39/1.47 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 1.39/1.47 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 1.39/1.47 % Source : [ILTP]
% 1.39/1.47 % Names :
% 1.39/1.47
% 1.39/1.47 % Status : Theorem
% 1.39/1.47 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.00 v3.3.0
% 1.39/1.47 % Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% 1.39/1.47 % Number of atoms : 58 ( 0 equ)
% 1.39/1.47 % Maximal formula atoms : 6 ( 2 avg)
% 1.39/1.47 % Number of connectives : 44 ( 7 ~; 17 |; 5 &)
% 1.39/1.47 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 1.39/1.47 % Maximal formula depth : 9 ( 5 avg)
% 1.39/1.47 % Maximal term depth : 2 ( 1 avg)
% 1.39/1.47 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 1.39/1.47 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 1.39/1.47 % Number of variables : 53 ( 53 !; 0 ?)
% 1.39/1.47 % SPC : FOF_THM_RFO_NEQ
% 1.39/1.47
% 1.39/1.47 % Comments : Definitions unfolded, hence Especial.
% 1.39/1.47 %------------------------------------------------------------------------------
% 1.39/1.47 include('Axioms/GEO008+0.ax').
% 1.39/1.47 include('Axioms/GEO006+2.ax').
% 1.39/1.47 include('Axioms/GEO006+3.ax').
% 1.39/1.47 %------------------------------------------------------------------------------
% 1.39/1.47 fof(con,conjecture,
% 1.39/1.47 ! [L,M,N] :
% 1.39/1.47 ( unorthogonal_lines(L,M)
% 1.39/1.47 => ( distinct_lines(L,N)
% 1.39/1.47 | unorthogonal_lines(M,N) ) ) ).
% 1.39/1.47
% 1.39/1.47 %------------------------------------------------------------------------------
% 1.39/1.47 %-------------------------------------------
% 1.39/1.47 % Proof found
% 1.39/1.47 % SZS status Theorem for theBenchmark
% 1.39/1.47 % SZS output start Proof
% 1.44/1.47 %ClaNum:28(EqnAxiom:0)
% 1.44/1.47 %VarNum:138(SingletonVarNum:62)
% 1.44/1.47 %MaxLitNum:6
% 1.44/1.47 %MaxfuncDepth:1
% 1.44/1.47 %SharedTerms:6
% 1.44/1.47 %goalClause: 1 2 3
% 1.44/1.47 %singleGoalClaCount:3
% 1.44/1.47 [1]P1(a1,a2)
% 1.44/1.47 [2]~P2(a1,a3)
% 1.44/1.47 [3]~P1(a2,a3)
% 1.44/1.47 [4]~P5(x41,x41)
% 1.44/1.47 [5]~P2(x51,x51)
% 1.44/1.47 [6]~P3(x61,x61)
% 1.44/1.47 [7]~P4(x71,f4(x72,x71))
% 1.44/1.47 [8]~P4(x81,f5(x82,x81))
% 1.44/1.47 [9]~P3(f4(x91,x92),x91)
% 1.44/1.47 [10]~P1(f5(x101,x102),x101)
% 1.44/1.47 [11]P1(x111,x112)+P3(x111,x112)
% 1.44/1.47 [12]~P3(x121,x122)+P2(x121,x122)
% 1.44/1.47 [13]~P5(x133,x131)+P5(x131,x132)+P5(x133,x132)
% 1.44/1.47 [14]~P4(x141,x143)+P5(x141,x142)+P4(x142,x143)
% 1.44/1.47 [15]~P2(x153,x151)+P2(x151,x152)+P2(x153,x152)
% 1.44/1.47 [16]~P4(x163,x161)+P2(x161,x162)+P4(x163,x162)
% 1.44/1.47 [17]~P3(x173,x171)+P3(x171,x172)+P3(x173,x172)
% 1.44/1.47 [24]~P3(x242,x243)+~P4(x241,x243)+P5(x241,f6(x242,x243))
% 1.44/1.47 [25]~P3(x252,x253)+~P4(x251,x252)+P5(x251,f6(x252,x253))
% 1.44/1.47 [26]P5(x261,x262)+~P5(x263,x262)+~P4(x261,f7(x263,x262))
% 1.44/1.47 [27]P5(x271,x272)+~P5(x272,x273)+~P4(x271,f7(x272,x273))
% 1.44/1.47 [18]P4(x183,x181)+~P2(x181,x182)+P3(x181,x182)+P4(x183,x182)
% 1.44/1.47 [20]~P3(x201,x203)+~P1(x201,x203)+P3(x201,x202)+P1(x203,x202)
% 1.44/1.47 [21]~P3(x213,x211)+~P1(x213,x211)+P3(x211,x212)+P1(x213,x212)
% 1.44/1.47 [22]~P3(x221,x223)+~P1(x221,x223)+P1(x221,x222)+P1(x223,x222)
% 1.44/1.47 [23]P1(x233,x234)+~P2(x233,x232)+P4(x231,x232)+P4(x231,x233)+P1(x232,x234)
% 1.44/1.48 [28]P4(x284,x283)+~P5(x284,x281)+~P2(x283,x282)+P4(x281,x282)+P4(x281,x283)+P4(x284,x282)
% 1.44/1.48 %EqnAxiom
% 1.44/1.48
% 1.44/1.48 %-------------------------------------------
% 1.44/1.48 cnf(29,plain,
% 1.44/1.48 (~P3(a1,a3)),
% 1.44/1.48 inference(scs_inference,[],[2,12])).
% 1.44/1.48 cnf(31,plain,
% 1.44/1.48 (~P3(a1,a2)),
% 1.44/1.48 inference(scs_inference,[],[1,6,2,3,12,11,20])).
% 1.44/1.48 cnf(34,plain,
% 1.44/1.48 (~P2(f4(f5(x341,x342),x342),f5(x341,x342))),
% 1.44/1.48 inference(scs_inference,[],[1,4,6,2,3,7,8,9,12,11,20,27,18])).
% 1.44/1.48 cnf(36,plain,
% 1.44/1.48 (~P4(x361,f4(x362,x361))),
% 1.44/1.48 inference(rename_variables,[],[7])).
% 1.44/1.48 cnf(37,plain,
% 1.44/1.48 (~P3(f4(x371,x372),x371)),
% 1.44/1.48 inference(rename_variables,[],[9])).
% 1.44/1.48 cnf(39,plain,
% 1.44/1.48 (~P3(x391,f4(x391,x392))),
% 1.44/1.48 inference(scs_inference,[],[1,4,6,2,3,7,8,9,37,12,11,20,27,18,17])).
% 1.44/1.48 cnf(41,plain,
% 1.44/1.48 (P4(x411,a3)+~P4(x411,a1)),
% 1.44/1.48 inference(scs_inference,[],[1,4,6,2,3,7,8,9,37,12,11,20,27,18,17,16])).
% 1.44/1.48 cnf(45,plain,
% 1.44/1.48 (~P3(a3,x451)+~P4(f6(a3,x451),a1)+~P4(f6(a3,x451),f7(f6(a3,x451),x452))),
% 1.44/1.48 inference(scs_inference,[],[1,4,6,2,3,7,36,8,9,37,12,11,20,27,18,17,16,14,25])).
% 1.44/1.48 cnf(48,plain,
% 1.44/1.48 (P1(f4(x481,x482),a3)+P4(x482,a2)+~P4(f6(a3,x483),a1)+~P2(a2,f4(x481,x482))+~P4(f6(a3,x483),f7(f6(a3,x483),x482))),
% 1.44/1.48 inference(scs_inference,[],[1,4,6,2,3,7,36,8,9,37,12,11,20,27,18,17,16,14,25,23])).
% 1.44/1.48 cnf(50,plain,
% 1.44/1.48 (P3(f5(x501,x502),x501)),
% 1.44/1.48 inference(scs_inference,[],[10,11])).
% 1.44/1.48 cnf(52,plain,
% 1.44/1.48 (P3(x521,f5(x521,x522))),
% 1.44/1.48 inference(scs_inference,[],[10,6,11,17])).
% 1.44/1.48 cnf(53,plain,
% 1.44/1.48 (~P3(x531,x531)),
% 1.44/1.48 inference(rename_variables,[],[6])).
% 1.44/1.48 cnf(55,plain,
% 1.44/1.48 (~P4(f6(f5(x551,x552),x551),f5(x551,x552))),
% 1.44/1.48 inference(scs_inference,[],[10,6,4,11,17,25])).
% 1.44/1.48 cnf(56,plain,
% 1.44/1.48 (~P5(x561,x561)),
% 1.44/1.48 inference(rename_variables,[],[4])).
% 1.44/1.48 cnf(58,plain,
% 1.44/1.48 (~P1(x581,f5(x581,x582))),
% 1.44/1.48 inference(scs_inference,[],[10,6,53,4,11,17,25,20])).
% 1.44/1.48 cnf(59,plain,
% 1.44/1.48 (~P1(f5(x591,x592),x591)),
% 1.44/1.48 inference(rename_variables,[],[10])).
% 1.44/1.48 cnf(61,plain,
% 1.44/1.48 (P2(f5(x611,x612),x611)),
% 1.44/1.48 inference(scs_inference,[],[10,6,53,4,11,17,25,20,12])).
% 1.44/1.48 cnf(65,plain,
% 1.44/1.48 (~P4(f6(f5(x651,x652),x651),x651)),
% 1.44/1.48 inference(scs_inference,[],[10,6,53,4,56,11,17,25,20,12,26,24])).
% 1.44/1.48 cnf(66,plain,
% 1.44/1.48 (~P5(x661,x661)),
% 1.44/1.48 inference(rename_variables,[],[4])).
% 1.44/1.48 cnf(68,plain,
% 1.44/1.48 (~P2(f5(x681,x682),f4(f5(x681,x682),x682))),
% 1.44/1.48 inference(scs_inference,[],[10,8,7,6,53,4,56,39,11,17,25,20,12,26,24,18])).
% 1.44/1.48 cnf(70,plain,
% 1.44/1.48 (~P4(x701,f5(x702,x701))),
% 1.44/1.48 inference(rename_variables,[],[8])).
% 1.44/1.48 cnf(74,plain,
% 1.44/1.48 (~P4(x741,f5(x742,x741))),
% 1.44/1.48 inference(rename_variables,[],[8])).
% 1.44/1.48 cnf(77,plain,
% 1.44/1.48 (P1(f5(f5(x771,x772),x772),x771)),
% 1.44/1.48 inference(scs_inference,[],[10,59,8,70,74,7,6,53,4,56,66,39,11,17,25,20,12,24,18,23,14])).
% 1.44/1.48 cnf(78,plain,
% 1.44/1.48 (~P4(f6(f5(a3,x781),a3),a1)),
% 1.44/1.48 inference(scs_inference,[],[65,41])).
% 1.44/1.48 cnf(79,plain,
% 1.44/1.48 (~P4(f6(f5(x791,x792),x791),x791)),
% 1.44/1.48 inference(rename_variables,[],[65])).
% 1.44/1.48 cnf(81,plain,
% 1.44/1.48 (P2(x811,f5(x811,x812))),
% 1.44/1.48 inference(scs_inference,[],[5,65,61,41,15])).
% 1.44/1.48 cnf(83,plain,
% 1.44/1.48 (P2(x831,x832)+~P2(x831,x833)+P2(x833,x832)),
% 1.44/1.48 inference(rename_variables,[],[15])).
% 1.44/1.48 cnf(84,plain,
% 1.44/1.48 (P2(f5(a1,x841),a3)),
% 1.44/1.48 inference(scs_inference,[],[2,5,65,61,41,15,83])).
% 1.44/1.48 cnf(86,plain,
% 1.44/1.48 (P3(f5(a1,x861),a3)),
% 1.44/1.48 inference(scs_inference,[],[2,29,5,65,50,61,41,15,83,17])).
% 1.44/1.48 cnf(91,plain,
% 1.44/1.48 (~P4(f6(x911,f5(x911,x912)),x911)),
% 1.44/1.48 inference(scs_inference,[],[2,29,5,4,65,50,52,61,41,15,83,17,11,25])).
% 1.44/1.48 cnf(95,plain,
% 1.44/1.48 (P1(f5(f5(x951,x952),x952),x951)),
% 1.44/1.48 inference(rename_variables,[],[77])).
% 1.44/1.48 cnf(97,plain,
% 1.44/1.48 (~P3(f5(f5(x971,x972),x972),x971)),
% 1.44/1.48 inference(scs_inference,[],[2,29,5,10,4,65,77,95,50,52,58,61,41,15,83,17,11,25,21,22])).
% 1.44/1.48 cnf(98,plain,
% 1.44/1.48 (~P1(f5(x981,x982),x981)),
% 1.44/1.48 inference(rename_variables,[],[10])).
% 1.44/1.48 cnf(103,plain,
% 1.44/1.48 (P1(a3,a1)),
% 1.44/1.48 inference(scs_inference,[],[2,29,5,10,98,8,4,65,79,77,95,50,52,58,61,41,15,83,17,11,25,21,22,16,23])).
% 1.44/1.48 cnf(108,plain,
% 1.44/1.48 (~P4(f6(f5(a1,x1081),a3),a3)),
% 1.44/1.48 inference(scs_inference,[],[4,86,24])).
% 1.44/1.48 cnf(109,plain,
% 1.44/1.48 (~P5(x1091,x1091)),
% 1.44/1.48 inference(rename_variables,[],[4])).
% 1.44/1.48 cnf(111,plain,
% 1.44/1.48 (P3(a2,a3)),
% 1.44/1.48 inference(scs_inference,[],[3,4,86,24,11])).
% 1.44/1.48 cnf(113,plain,
% 1.44/1.48 (~P3(f4(x1131,x1132),f5(f5(x1131,x1133),x1133))),
% 1.44/1.48 inference(scs_inference,[],[9,3,4,97,86,24,11,17])).
% 1.44/1.48 cnf(119,plain,
% 1.44/1.48 (P2(x1191,f4(f5(x1191,x1192),x1192))),
% 1.44/1.48 inference(scs_inference,[],[9,3,10,4,97,81,86,68,24,11,17,21,15])).
% 1.44/1.48 cnf(121,plain,
% 1.44/1.48 (~P4(f6(f5(a1,x1211),a3),f5(a1,x1211))),
% 1.44/1.48 inference(scs_inference,[],[9,3,10,4,109,97,81,86,68,24,11,17,21,15,25])).
% 1.44/1.48 cnf(126,plain,
% 1.44/1.48 (P2(a2,a3)),
% 1.44/1.48 inference(scs_inference,[],[9,3,10,4,109,97,81,86,68,58,24,11,17,21,15,25,22,12])).
% 1.44/1.48 cnf(131,plain,
% 1.44/1.48 (P2(f4(f5(x1311,x1312),x1312),x1311)),
% 1.44/1.48 inference(scs_inference,[],[5,119,15])).
% 1.44/1.48 cnf(136,plain,
% 1.44/1.48 (~P4(f6(a2,a3),a2)),
% 1.44/1.48 inference(scs_inference,[],[5,9,4,119,111,15,11,25])).
% 1.44/1.48 cnf(139,plain,
% 1.44/1.48 (P3(f5(f4(x1391,x1392),x1393),x1391)),
% 1.44/1.48 inference(scs_inference,[],[5,9,4,119,111,52,15,11,25,17])).
% 1.44/1.48 cnf(142,plain,
% 1.44/1.48 (~P3(a3,a1)+P1(a3,f5(a1,x1421))),
% 1.44/1.48 inference(scs_inference,[],[5,9,4,119,103,111,52,58,15,11,25,17,22])).
% 1.44/1.48 cnf(151,plain,
% 1.44/1.48 (P3(f5(f4(a1,x1511),x1512),a3)),
% 1.44/1.48 inference(scs_inference,[],[29,139,17])).
% 1.44/1.48 cnf(169,plain,
% 1.44/1.48 (~P3(a1,f4(a2,x1691))),
% 1.44/1.48 inference(scs_inference,[],[31,9,17])).
% 1.44/1.48 cnf(172,plain,
% 1.44/1.48 (~P4(f6(f5(a1,x1721),a3),a1)),
% 1.44/1.48 inference(scs_inference,[],[31,9,108,17,41])).
% 1.44/1.48 cnf(179,plain,
% 1.44/1.48 (~P4(f6(a2,a3),a3)),
% 1.44/1.48 inference(scs_inference,[],[4,31,9,131,108,111,103,2,17,41,21,15,24])).
% 1.44/1.48 cnf(186,plain,
% 1.44/1.48 (~P4(f6(a2,a3),a1)),
% 1.44/1.48 inference(scs_inference,[],[179,2,16])).
% 1.44/1.48 cnf(188,plain,
% 1.44/1.48 (~P1(f5(f4(x1881,x1882),x1883),x1881)),
% 1.44/1.48 inference(scs_inference,[],[10,179,39,139,2,16,21])).
% 1.44/1.48 cnf(190,plain,
% 1.44/1.48 (~P1(f5(x1901,x1902),x1901)),
% 1.44/1.48 inference(rename_variables,[],[10])).
% 1.44/1.48 cnf(192,plain,
% 1.44/1.48 (P2(a3,f5(a1,x1921))),
% 1.44/1.48 inference(scs_inference,[],[5,10,179,39,139,84,2,16,21,15])).
% 1.44/1.48 cnf(195,plain,
% 1.44/1.48 (P3(f5(a1,x1951),a2)),
% 1.44/1.48 inference(scs_inference,[],[31,5,10,179,39,139,84,52,2,16,21,15,17])).
% 1.44/1.48 cnf(204,plain,
% 1.44/1.48 (P3(a3,f5(a1,f6(a2,a3)))),
% 1.44/1.48 inference(scs_inference,[],[31,5,8,10,190,179,39,139,151,84,52,2,16,21,15,17,22,12,18])).
% 1.44/1.48 cnf(207,plain,
% 1.44/1.48 (~P4(f6(f5(a1,x2071),a2),f5(a1,x2071))),
% 1.44/1.48 inference(scs_inference,[],[4,31,5,8,10,190,179,39,139,151,84,52,2,16,21,15,17,22,12,18,25])).
% 1.44/1.48 cnf(213,plain,
% 1.44/1.48 (P3(f5(f4(a1,x2131),x2132),a2)),
% 1.44/1.48 inference(scs_inference,[],[31,139,17])).
% 1.44/1.48 cnf(216,plain,
% 1.44/1.48 (P1(a1,f5(a3,x2161))+~P3(a3,a1)),
% 1.44/1.48 inference(scs_inference,[],[31,139,103,58,17,22])).
% 1.44/1.48 cnf(221,plain,
% 1.44/1.48 (~P3(a1,f5(a3,x2211))+~P3(a3,a1)),
% 1.44/1.48 inference(scs_inference,[],[31,29,10,113,139,103,58,17,22,11,20])).
% 1.44/1.48 cnf(237,plain,
% 1.44/1.48 (~P2(a1,a2)),
% 1.44/1.48 inference(scs_inference,[],[31,186,136,18])).
% 1.44/1.48 cnf(239,plain,
% 1.44/1.48 (~P3(a1,f5(f5(a2,x2391),x2391))),
% 1.44/1.48 inference(scs_inference,[],[31,186,97,136,18,17])).
% 1.44/1.48 cnf(245,plain,
% 1.44/1.48 (P2(f4(f5(a1,x2451),x2451),a2)),
% 1.44/1.48 inference(scs_inference,[],[31,10,188,186,97,131,136,18,17,22,15])).
% 1.44/1.48 cnf(248,plain,
% 1.44/1.48 (~P2(a1,f5(f5(a1,x2481),f6(a2,a3)))),
% 1.44/1.48 inference(scs_inference,[],[8,31,10,188,186,97,131,136,58,18,17,22,15,23])).
% 1.44/1.48 cnf(260,plain,
% 1.44/1.48 (P2(a2,f5(a1,x2601))),
% 1.44/1.48 inference(scs_inference,[],[34,245,213,12,15])).
% 1.44/1.48 cnf(268,plain,
% 1.44/1.48 (~P1(f5(x2681,x2682),x2681)),
% 1.44/1.48 inference(rename_variables,[],[10])).
% 1.44/1.48 cnf(271,plain,
% 1.44/1.48 (~P1(x2711,f5(x2711,x2712))),
% 1.44/1.48 inference(rename_variables,[],[58])).
% 1.44/1.48 cnf(273,plain,
% 1.44/1.48 (~P3(a3,a1)+P3(a1,f5(a3,x2731))),
% 1.44/1.48 inference(scs_inference,[],[6,34,10,245,213,108,126,103,58,271,12,15,17,22,23,21])).
% 1.44/1.48 cnf(276,plain,
% 1.44/1.48 (~P1(a3,f5(a1,f6(a2,a3)))+P3(a3,a1)),
% 1.44/1.48 inference(scs_inference,[],[6,34,10,268,245,213,204,108,126,103,58,271,12,15,17,22,23,21,20])).
% 1.44/1.48 cnf(279,plain,
% 1.44/1.48 (P3(a2,f5(a1,f6(a2,a3)))),
% 1.44/1.48 inference(scs_inference,[],[8,260,136,18])).
% 1.44/1.48 cnf(297,plain,
% 1.44/1.48 (~P4(f6(a2,f5(a2,x2971)),a1)),
% 1.44/1.48 inference(scs_inference,[],[237,91,16])).
% 1.44/1.48 cnf(300,plain,
% 1.44/1.48 (P2(f5(a1,x3001),a2)),
% 1.44/1.48 inference(scs_inference,[],[195,237,91,16,12])).
% 1.44/1.48 cnf(306,plain,
% 1.44/1.48 (P3(f5(x3061,x3062),f4(x3061,x3063))),
% 1.44/1.48 inference(scs_inference,[],[50,39,195,237,260,91,68,16,12,15,17])).
% 1.44/1.48 cnf(311,plain,
% 1.44/1.48 (~P1(a2,a1)+~P3(a2,a1)),
% 1.44/1.48 inference(scs_inference,[],[50,39,29,195,237,260,91,68,3,16,12,15,17,11,21])).
% 1.44/1.48 cnf(313,plain,
% 1.44/1.48 (P4(x3131,f4(f4(x3132,x3131),x3133))+~P2(f4(f4(x3132,x3131),x3133),f4(x3132,x3131))),
% 1.44/1.48 inference(scs_inference,[],[7,50,39,29,9,195,237,260,91,68,3,16,12,15,17,11,21,18])).
% 1.44/1.48 cnf(316,plain,
% 1.44/1.48 (P3(a3,f5(a1,x3161))),
% 1.44/1.48 inference(scs_inference,[],[192,121,108,18])).
% 1.44/1.48 cnf(320,plain,
% 1.44/1.48 (~P3(x3201,f4(f4(x3201,x3202),x3203))),
% 1.44/1.48 inference(scs_inference,[],[39,9,192,121,108,18,17])).
% 1.44/1.48 cnf(323,plain,
% 1.44/1.48 (~P2(f4(f4(x3231,x3232),x3232),f4(x3231,x3232))),
% 1.44/1.48 inference(scs_inference,[],[7,39,9,192,121,108,18,17,313])).
% 1.44/1.48 cnf(326,plain,
% 1.44/1.48 (~P4(f6(f5(x3261,x3262),f4(x3261,x3263)),f4(x3261,x3263))),
% 1.44/1.48 inference(scs_inference,[],[7,39,9,306,192,121,108,4,18,17,313,24])).
% 1.44/1.48 cnf(335,plain,
% 1.44/1.48 (P3(x3351,f4(f5(x3351,x3352),x3353))),
% 1.44/1.48 inference(scs_inference,[],[50,39,17])).
% 1.44/1.48 cnf(348,plain,
% 1.44/1.48 (~P1(a1,f5(a3,x3481))+~P3(a1,f5(a3,x3481))+~P3(f5(f4(a3,x3482),x3483),f5(a3,x3481))),
% 1.44/1.48 inference(scs_inference,[],[50,39,29,10,316,188,306,4,17,22,11,25,12,20])).
% 1.44/1.48 cnf(355,plain,
% 1.44/1.48 (P3(f5(a1,x3551),f4(a2,x3552))),
% 1.44/1.48 inference(scs_inference,[],[39,239,195,11,17])).
% 1.44/1.48 cnf(356,plain,
% 1.44/1.49 (~P3(x3561,f4(x3561,x3562))),
% 1.44/1.49 inference(rename_variables,[],[39])).
% 1.44/1.49 cnf(358,plain,
% 1.44/1.49 (~P1(a2,f5(a1,f6(a2,a3)))+P3(a2,a1)),
% 1.44/1.49 inference(scs_inference,[],[39,10,239,279,195,11,17,20])).
% 1.44/1.49 cnf(364,plain,
% 1.44/1.49 (~P3(a3,f4(a1,x3641))+~P3(a3,a1)+P1(a3,f5(f4(a1,x3641),x3642))),
% 1.44/1.49 inference(scs_inference,[],[39,356,10,239,279,195,103,58,11,17,20,21,22])).
% 1.44/1.49 cnf(367,plain,
% 1.44/1.49 (~P1(f5(x3671,x3672),f4(x3671,x3673))),
% 1.44/1.49 inference(scs_inference,[],[9,10,306,21])).
% 1.44/1.49 cnf(368,plain,
% 1.44/1.49 (~P3(f4(x3681,x3682),x3681)),
% 1.44/1.49 inference(rename_variables,[],[9])).
% 1.44/1.49 cnf(371,plain,
% 1.44/1.49 (~P3(f4(f4(x3711,x3712),x3713),x3711)),
% 1.44/1.49 inference(scs_inference,[],[9,368,39,10,306,21,17])).
% 1.44/1.49 cnf(383,plain,
% 1.44/1.49 (P3(f5(a1,x3831),f4(f4(a2,x3832),x3833))),
% 1.44/1.49 inference(scs_inference,[],[39,355,17])).
% 1.44/1.49 cnf(390,plain,
% 1.44/1.49 (P2(x3901,f4(f5(x3901,x3902),x3903))),
% 1.44/1.49 inference(scs_inference,[],[10,39,335,300,207,355,17,23,12])).
% 1.44/1.49 cnf(396,plain,
% 1.44/1.49 (~P3(a1,f4(f4(a3,x3961),x3962))),
% 1.44/1.49 inference(scs_inference,[],[29,371,17])).
% 1.44/1.49 cnf(405,plain,
% 1.44/1.49 (~P1(f5(x4051,x4052),x4051)),
% 1.44/1.49 inference(rename_variables,[],[10])).
% 1.44/1.49 cnf(408,plain,
% 1.44/1.49 (P2(x4081,f4(f5(x4081,x4082),x4083))),
% 1.44/1.49 inference(rename_variables,[],[390])).
% 1.44/1.49 cnf(418,plain,
% 1.44/1.49 (~P1(f5(x4181,x4182),x4181)),
% 1.44/1.49 inference(rename_variables,[],[10])).
% 1.44/1.49 cnf(420,plain,
% 1.44/1.49 (~P1(a1,f5(a3,x4201))+P4(f6(f5(a1,x4202),a1),a2)+~P3(a1,f5(a3,x4201))),
% 1.44/1.49 inference(scs_inference,[],[10,405,418,55,29,58,39,326,390,408,371,237,260,65,136,17,16,23,15,311,48,18,22,20])).
% 1.44/1.49 cnf(424,plain,
% 1.44/1.49 (~P4(f6(x4241,f5(x4241,x4242)),f5(x4241,x4242))),
% 1.44/1.49 inference(scs_inference,[],[52,4,24])).
% 1.44/1.49 cnf(427,plain,
% 1.44/1.49 (P3(f5(a1,x4271),f4(f4(a3,x4272),x4273))),
% 1.44/1.49 inference(scs_inference,[],[52,396,4,24,17])).
% 1.44/1.49 cnf(433,plain,
% 1.44/1.49 (~P1(f5(a2,x4331),a1)+~P3(f5(a2,x4331),a1)),
% 1.44/1.49 inference(scs_inference,[],[61,52,58,396,248,239,4,24,17,15,21])).
% 1.44/1.49 cnf(434,plain,
% 1.44/1.49 (~P1(x4341,f5(x4341,x4342))),
% 1.44/1.49 inference(rename_variables,[],[58])).
% 1.44/1.49 cnf(436,plain,
% 1.44/1.49 (~P1(a3,f5(a1,x4361))+P3(a3,f5(f5(a1,x4361),x4362))),
% 1.44/1.49 inference(scs_inference,[],[61,52,58,434,396,248,239,316,4,24,17,15,21,20])).
% 1.44/1.49 cnf(439,plain,
% 1.44/1.49 (P2(a3,a2)),
% 1.44/1.49 inference(scs_inference,[],[126,5,15])).
% 1.44/1.49 cnf(454,plain,
% 1.44/1.49 (~P3(a1,f4(f4(a2,x4541),x4542))),
% 1.44/1.49 inference(scs_inference,[],[31,371,17])).
% 1.44/1.49 cnf(457,plain,
% 1.44/1.49 (~P2(a3,f4(a3,f6(a2,a3)))),
% 1.44/1.49 inference(scs_inference,[],[31,39,371,179,7,17,18])).
% 1.44/1.49 cnf(461,plain,
% 1.44/1.49 (P2(f5(a1,x4611),f4(f4(a2,x4612),x4613))),
% 1.44/1.49 inference(scs_inference,[],[31,39,383,371,179,7,17,18,12])).
% 1.44/1.49 cnf(470,plain,
% 1.44/1.49 (P3(f5(a1,x4701),f5(f5(a2,x4702),x4702))),
% 1.44/1.49 inference(scs_inference,[],[52,461,323,239,15,17])).
% 1.44/1.49 cnf(477,plain,
% 1.44/1.49 (P3(a2,f4(a3,x4771))),
% 1.44/1.49 inference(scs_inference,[],[39,111,17])).
% 1.44/1.49 cnf(480,plain,
% 1.44/1.49 (~P4(f6(a2,f4(a3,x4801)),f4(a3,x4801))),
% 1.44/1.49 inference(scs_inference,[],[477,4,24])).
% 1.44/1.49 cnf(485,plain,
% 1.44/1.49 (~P3(f5(f5(a2,x4851),x4851),a1)),
% 1.44/1.49 inference(scs_inference,[],[31,454,477,97,4,24,11,17])).
% 1.44/1.49 cnf(491,plain,
% 1.44/1.49 (P3(f5(x4911,x4912),f4(f4(x4911,x4913),x4914))),
% 1.44/1.49 inference(scs_inference,[],[50,320,17])).
% 1.44/1.49 cnf(494,plain,
% 1.44/1.49 (P3(a3,a2)+P4(f6(f5(a3,x4941),a3),a2)),
% 1.44/1.49 inference(scs_inference,[],[65,50,439,320,17,18])).
% 1.44/1.49 cnf(518,plain,
% 1.44/1.49 (~P1(x5181,f5(x5181,x5182))),
% 1.44/1.49 inference(rename_variables,[],[58])).
% 1.44/1.49 cnf(520,plain,
% 1.44/1.49 (~P1(x5201,f4(f5(x5201,x5202),x5203))),
% 1.44/1.49 inference(scs_inference,[],[58,518,457,477,335,84,9,15,22,21])).
% 1.44/1.49 cnf(524,plain,
% 1.44/1.49 (~P4(f6(a2,f4(a3,x5241)),a2)),
% 1.44/1.49 inference(scs_inference,[],[58,518,457,477,335,84,9,4,15,22,21,25])).
% 1.44/1.49 cnf(527,plain,
% 1.44/1.49 (~P4(f6(a2,f4(a3,x5271)),a1)),
% 1.44/1.49 inference(scs_inference,[],[524,237,16])).
% 1.44/1.49 cnf(543,plain,
% 1.44/1.49 (P3(f5(a2,x5431),a1)),
% 1.44/1.49 inference(scs_inference,[],[50,485,17])).
% 1.44/1.49 cnf(553,plain,
% 1.44/1.49 (~P1(f5(a2,x5531),a1)),
% 1.44/1.49 inference(scs_inference,[],[50,491,367,396,485,17,12,20,433])).
% 1.44/1.49 cnf(560,plain,
% 1.44/1.49 (~P1(x5601,f5(f5(x5601,x5602),x5603))+~P3(x5601,f5(f5(x5601,x5602),x5603))),
% 1.44/1.49 inference(scs_inference,[],[50,81,55,65,58,491,367,396,485,3,10,17,12,20,433,23,22])).
% 1.44/1.49 cnf(570,plain,
% 1.44/1.49 (P1(a1,f5(f5(a1,x5701),x5702))),
% 1.44/1.49 inference(scs_inference,[],[81,58,172,113,121,477,17,23])).
% 1.44/1.49 cnf(590,plain,
% 1.44/1.49 (P1(x5901,f5(f5(x5901,x5902),x5903))),
% 1.44/1.49 inference(scs_inference,[],[81,55,65,58,570,560,23])).
% 1.44/1.49 cnf(591,plain,
% 1.44/1.49 (P2(x5911,f5(x5911,x5912))),
% 1.44/1.49 inference(rename_variables,[],[81])).
% 1.44/1.49 cnf(601,plain,
% 1.44/1.49 (~P4(f6(f5(a2,x6011),a1),a1)),
% 1.44/1.49 inference(scs_inference,[],[81,591,55,65,58,570,543,454,457,367,4,560,23,21,15,24])).
% 1.44/1.49 cnf(614,plain,
% 1.44/1.49 (~P1(f5(a1,x6141),f5(f5(a2,x6142),x6142))),
% 1.44/1.49 inference(scs_inference,[],[470,485,10,21])).
% 1.44/1.49 cnf(619,plain,
% 1.44/1.49 (~P3(a1,f4(a3,x6191))),
% 1.44/1.49 inference(scs_inference,[],[470,396,485,39,10,21,17])).
% 1.44/1.49 cnf(633,plain,
% 1.44/1.49 (~P1(x6331,f5(x6331,x6332))),
% 1.44/1.49 inference(rename_variables,[],[58])).
% 1.44/1.49 cnf(638,plain,
% 1.44/1.49 (~P3(x6381,f5(f5(x6381,x6382),x6383))),
% 1.44/1.49 inference(scs_inference,[],[86,58,633,619,590,543,335,4,10,17,21,25,22])).
% 1.44/1.49 cnf(674,plain,
% 1.44/1.49 (~P1(f5(a1,x6741),a2)),
% 1.44/1.49 inference(scs_inference,[],[61,91,553,424,614,638,195,23,21])).
% 1.44/1.49 cnf(692,plain,
% 1.44/1.49 (~P3(a2,a1)),
% 1.44/1.49 inference(scs_inference,[],[61,91,427,527,480,520,553,619,424,614,638,169,195,335,103,23,21,12,11,18,22,17,311])).
% 1.44/1.49 cnf(696,plain,
% 1.44/1.49 (~P1(a2,f5(a1,f6(a2,a3)))),
% 1.44/1.49 inference(scs_inference,[],[692,358])).
% 1.44/1.49 cnf(697,plain,
% 1.44/1.49 (~P2(a2,a1)),
% 1.44/1.49 inference(scs_inference,[],[91,692,297,18])).
% 1.44/1.49 cnf(698,plain,
% 1.44/1.49 (~P4(f6(x6981,f5(x6981,x6982)),x6981)),
% 1.44/1.49 inference(rename_variables,[],[91])).
% 1.44/1.49 cnf(700,plain,
% 1.44/1.49 (P3(a2,f5(f5(a3,x7001),x7002))),
% 1.44/1.49 inference(scs_inference,[],[91,692,297,638,111,18,17])).
% 1.44/1.49 cnf(714,plain,
% 1.44/1.49 (P3(a3,a2)),
% 1.44/1.49 inference(scs_inference,[],[61,78,91,698,692,674,297,491,553,424,638,111,18,17,16,23,22,494])).
% 1.44/1.49 cnf(730,plain,
% 1.44/1.49 (~P3(f5(f5(x7301,x7302),x7302),x7301)),
% 1.44/1.49 inference(rename_variables,[],[97])).
% 1.44/1.49 cnf(745,plain,
% 1.44/1.49 (P3(a3,a1)),
% 1.44/1.49 inference(scs_inference,[],[65,97,730,714,697,696,700,601,192,674,8,3,9,16,21,17,45,23,22,276])).
% 1.44/1.49 cnf(746,plain,
% 1.44/1.49 (P3(a1,f5(a3,x7461))),
% 1.44/1.49 inference(scs_inference,[],[65,97,730,714,697,696,700,601,192,674,8,3,9,16,21,17,45,23,22,276,273])).
% 1.44/1.49 cnf(748,plain,
% 1.44/1.49 (P1(a1,f5(a3,x7481))),
% 1.44/1.49 inference(scs_inference,[],[65,97,730,714,697,696,700,601,192,674,8,3,9,16,21,17,45,23,22,276,273,221,216])).
% 1.44/1.49 cnf(749,plain,
% 1.44/1.49 (P1(a3,f5(a1,x7491))),
% 1.44/1.49 inference(scs_inference,[],[65,97,730,714,697,696,700,601,192,674,8,3,9,16,21,17,45,23,22,276,273,221,216,142])).
% 1.44/1.49 cnf(753,plain,
% 1.44/1.49 (P5(f6(f5(a1,x7531),a1),f6(a3,a2))),
% 1.44/1.49 inference(scs_inference,[],[65,97,730,714,697,696,700,601,192,674,8,3,9,16,21,17,45,23,22,276,273,221,216,142,420,364,24])).
% 1.44/1.49 cnf(767,plain,
% 1.44/1.49 ($false),
% 1.44/1.49 inference(scs_inference,[],[753,745,746,748,749,4,436,348,13,221]),
% 1.44/1.49 ['proof']).
% 1.44/1.49 % SZS output end Proof
% 1.44/1.49 % Total time :0.780000s
%------------------------------------------------------------------------------