TSTP Solution File: FLD059-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD059-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : Wed Aug 30 22:26:52 EDT 2023
% Result : Unsatisfiable 0.97s 1.07s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : FLD059-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 23:47:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.97/1.07 %-------------------------------------------
% 0.97/1.07 % File :CSE---1.6
% 0.97/1.07 % Problem :theBenchmark
% 0.97/1.07 % Transform :cnf
% 0.97/1.07 % Format :tptp:raw
% 0.97/1.07 % Command :java -jar mcs_scs.jar %d %s
% 0.97/1.07
% 0.97/1.07 % Result :Theorem 0.420000s
% 0.97/1.07 % Output :CNFRefutation 0.420000s
% 0.97/1.07 %-------------------------------------------
% 0.97/1.07 %--------------------------------------------------------------------------
% 0.97/1.07 % File : FLD059-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.97/1.07 % Domain : Field Theory (Ordered fields)
% 0.97/1.07 % Problem : If a greater or equal 0, then 2a greater or equal 0
% 0.97/1.07 % Version : [Dra93] axioms : Especial.
% 0.97/1.07 % Theorem formulation : Functional with re axiom set.
% 0.97/1.07 % English :
% 0.97/1.07
% 0.97/1.07 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.97/1.07 % Source : [Dra93]
% 0.97/1.07 % Names :
% 0.97/1.07
% 0.97/1.07 % Status : Unsatisfiable
% 0.97/1.07 % Rating : 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.00 v2.1.0
% 0.97/1.07 % Syntax : Number of clauses : 29 ( 6 unt; 3 nHn; 29 RR)
% 0.97/1.07 % Number of literals : 80 ( 0 equ; 50 neg)
% 0.97/1.07 % Maximal clause size : 5 ( 2 avg)
% 0.97/1.07 % Maximal term depth : 2 ( 1 avg)
% 0.97/1.07 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.97/1.07 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 0.97/1.07 % Number of variables : 73 ( 0 sgn)
% 0.97/1.07 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.97/1.07
% 0.97/1.07 % Comments :
% 0.97/1.07 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.97/1.07 %--------------------------------------------------------------------------
% 0.97/1.07 include('Axioms/FLD002-0.ax').
% 0.97/1.07 %--------------------------------------------------------------------------
% 0.97/1.07 cnf(a_is_defined,hypothesis,
% 0.97/1.07 defined(a) ).
% 0.97/1.07
% 0.97/1.07 cnf(less_or_equal_2,negated_conjecture,
% 0.97/1.07 less_or_equal(additive_identity,a) ).
% 0.97/1.07
% 0.97/1.07 cnf(not_less_or_equal_3,negated_conjecture,
% 0.97/1.07 ~ less_or_equal(additive_identity,add(a,a)) ).
% 0.97/1.07
% 0.97/1.07 %--------------------------------------------------------------------------
% 0.97/1.07 %-------------------------------------------
% 0.97/1.07 % Proof found
% 0.97/1.07 % SZS status Theorem for theBenchmark
% 0.97/1.07 % SZS output start Proof
% 0.97/1.07 %ClaNum:29(EqnAxiom:0)
% 0.97/1.07 %VarNum:162(SingletonVarNum:73)
% 0.97/1.07 %MaxLitNum:5
% 0.97/1.08 %MaxfuncDepth:1
% 0.97/1.08 %SharedTerms:10
% 0.97/1.08 %goalClause: 4 5
% 0.97/1.08 %singleGoalClaCount:2
% 0.97/1.08 [1]P1(a1)
% 0.97/1.08 [2]P1(a4)
% 0.97/1.08 [3]P1(a2)
% 0.97/1.08 [4]P2(a1,a2)
% 0.97/1.08 [6]~P3(a1,a1,a4)
% 0.97/1.08 [5]~P2(a1,f3(a2,a2))
% 0.97/1.08 [12]~P1(x121)+P3(a1,x121,x121)
% 0.97/1.08 [13]~P1(x131)+P4(a4,x131,x131)
% 0.97/1.08 [7]~P1(x71)+P1(f5(x71))
% 0.97/1.08 [14]~P1(x141)+P3(f5(x141),x141,a1)
% 0.97/1.08 [21]~P3(x212,x211,x213)+P3(x211,x212,x213)
% 0.97/1.08 [22]~P4(x222,x221,x223)+P4(x221,x222,x223)
% 0.97/1.08 [15]~P1(x151)+P3(a1,x151,a1)+P1(f7(x151))
% 0.97/1.08 [19]~P1(x191)+P4(f7(x191),x191,a4)+P3(a1,x191,a1)
% 0.97/1.08 [18]~P2(x182,x181)+~P2(x181,x182)+P3(a1,x181,x182)
% 0.97/1.08 [9]~P1(x92)+~P1(x91)+P1(f3(x91,x92))
% 0.97/1.08 [10]~P1(x102)+~P1(x101)+P1(f6(x101,x102))
% 0.97/1.08 [16]~P1(x162)+~P1(x161)+P3(x161,x162,f3(x161,x162))
% 0.97/1.08 [17]~P1(x172)+~P1(x171)+P4(x171,x172,f6(x171,x172))
% 0.97/1.08 [11]~P2(x111,x113)+P2(x111,x112)+~P2(x113,x112)
% 0.97/1.08 [8]P2(x82,x81)+~P1(x81)+~P1(x82)+P2(x81,x82)
% 0.97/1.08 [20]~P4(x203,x202,x201)+P2(a1,x201)+~P2(a1,x202)+~P2(a1,x203)
% 0.97/1.08 [23]~P3(x233,x235,x231)+P2(x231,x232)+~P3(x234,x235,x232)+~P2(x233,x234)
% 0.97/1.08 [24]~P3(x241,x246,x244)+P3(x241,x242,x243)+~P3(x244,x245,x243)+~P3(x246,x245,x242)
% 0.97/1.08 [25]~P3(x256,x254,x251)+P3(x251,x252,x253)+~P3(x254,x252,x255)+~P3(x256,x255,x253)
% 0.97/1.08 [26]~P4(x261,x266,x264)+P4(x261,x262,x263)+~P4(x264,x265,x263)+~P4(x266,x265,x262)
% 0.97/1.08 [27]~P4(x276,x274,x271)+P4(x271,x272,x273)+~P4(x274,x272,x275)+~P4(x276,x275,x273)
% 0.97/1.08 [28]~P4(x285,x287,x282)+~P4(x284,x287,x281)+P3(x281,x282,x283)+~P3(x284,x285,x286)+~P4(x286,x287,x283)
% 0.97/1.08 [29]~P4(x297,x292,x295)+~P4(x296,x292,x294)+P4(x291,x292,x293)+~P3(x294,x295,x293)+~P3(x296,x297,x291)
% 0.97/1.08 %EqnAxiom
% 0.97/1.08
% 0.97/1.08 %-------------------------------------------
% 0.97/1.08 cnf(30,plain,
% 0.97/1.08 (~P4(a2,a2,f3(a2,a2))),
% 0.97/1.08 inference(scs_inference,[],[4,5,20])).
% 0.97/1.08 cnf(31,plain,
% 0.97/1.08 (P2(a1,a1)),
% 0.97/1.08 inference(scs_inference,[],[4,1,5,20,8])).
% 0.97/1.08 cnf(32,plain,
% 0.97/1.08 (P4(a4,a1,a1)),
% 0.97/1.08 inference(scs_inference,[],[4,1,5,20,8,13])).
% 0.97/1.08 cnf(34,plain,
% 0.97/1.08 (P3(a1,a1,a1)),
% 0.97/1.08 inference(scs_inference,[],[4,1,5,20,8,13,12])).
% 0.97/1.08 cnf(36,plain,
% 0.97/1.08 (P3(f5(a1),a1,a1)),
% 0.97/1.08 inference(scs_inference,[],[4,1,5,20,8,13,12,14])).
% 0.97/1.08 cnf(38,plain,
% 0.97/1.08 (P1(f5(a1))),
% 0.97/1.08 inference(scs_inference,[],[4,1,5,20,8,13,12,14,7])).
% 0.97/1.08 cnf(42,plain,
% 0.97/1.08 (~P2(a2,f3(a2,a2))),
% 0.97/1.08 inference(scs_inference,[],[4,1,5,20,8,13,12,14,7,18,11])).
% 0.97/1.08 cnf(44,plain,
% 0.97/1.08 (P4(a1,a1,f6(a1,a1))),
% 0.97/1.08 inference(scs_inference,[],[4,1,5,20,8,13,12,14,7,18,11,17])).
% 0.97/1.08 cnf(46,plain,
% 0.97/1.08 (P3(a1,a1,f3(a1,a1))),
% 0.97/1.08 inference(scs_inference,[],[4,1,5,20,8,13,12,14,7,18,11,17,16])).
% 0.97/1.08 cnf(48,plain,
% 0.97/1.08 (P1(f6(a1,a1))),
% 0.97/1.08 inference(scs_inference,[],[4,1,5,20,8,13,12,14,7,18,11,17,16,10])).
% 0.97/1.08 cnf(50,plain,
% 0.97/1.08 (P1(f3(a1,a1))),
% 0.97/1.08 inference(scs_inference,[],[4,1,5,20,8,13,12,14,7,18,11,17,16,10,9])).
% 0.97/1.08 cnf(52,plain,
% 0.97/1.08 (P4(a4,f6(a1,a1),f6(a1,a1))),
% 0.97/1.08 inference(scs_inference,[],[4,1,5,20,8,13,12,14,7,18,11,17,16,10,9,26])).
% 0.97/1.08 cnf(56,plain,
% 0.97/1.08 (~P3(f3(a1,a1),a1,a4)),
% 0.97/1.08 inference(scs_inference,[],[4,1,6,5,20,8,13,12,14,7,18,11,17,16,10,9,26,25,24])).
% 0.97/1.08 cnf(58,plain,
% 0.97/1.08 (P2(f3(a1,a1),f3(a1,a1))),
% 0.97/1.08 inference(scs_inference,[],[4,1,6,5,20,8,13,12,14,7,18,11,17,16,10,9,26,25,24,23])).
% 0.97/1.08 cnf(60,plain,
% 0.97/1.08 (P3(f6(a1,a1),f6(a1,a1),f6(a1,a1))),
% 0.97/1.08 inference(scs_inference,[],[4,1,6,5,20,8,13,12,14,7,18,11,17,16,10,9,26,25,24,23,28])).
% 0.97/1.08 cnf(62,plain,
% 0.97/1.08 (~P3(a1,f5(a1),a4)),
% 0.97/1.08 inference(scs_inference,[],[4,1,6,5,20,8,13,12,14,7,18,11,17,16,10,9,26,25,24,23,28,21])).
% 0.97/1.08 cnf(64,plain,
% 0.97/1.08 (P3(a1,a4,a1)+P4(f7(a4),a4,a4)),
% 0.97/1.08 inference(scs_inference,[],[4,1,2,6,5,20,8,13,12,14,7,18,11,17,16,10,9,26,25,24,23,28,21,19])).
% 0.97/1.08 cnf(66,plain,
% 0.97/1.08 (P3(a1,a4,a1)+P1(f7(a4))),
% 0.97/1.08 inference(scs_inference,[],[4,1,2,6,5,20,8,13,12,14,7,18,11,17,16,10,9,26,25,24,23,28,21,19,15])).
% 0.97/1.08 cnf(70,plain,
% 0.97/1.08 (~P3(a4,a4,x701)+P4(x701,a1,a1)),
% 0.97/1.08 inference(scs_inference,[],[4,1,2,6,5,20,8,13,12,14,7,18,11,17,16,10,9,26,25,24,23,28,21,19,15,27,29])).
% 0.97/1.08 cnf(72,plain,
% 0.97/1.08 (P4(f6(a1,a1),a4,f6(a1,a1))),
% 0.97/1.08 inference(scs_inference,[],[52,22])).
% 0.97/1.08 cnf(74,plain,
% 0.97/1.08 (P4(a2,a2,f6(a2,a2))),
% 0.97/1.08 inference(scs_inference,[],[3,52,22,17])).
% 0.97/1.08 cnf(76,plain,
% 0.97/1.08 (P3(a2,a2,f3(a2,a2))),
% 0.97/1.08 inference(scs_inference,[],[3,52,22,17,16])).
% 0.97/1.08 cnf(78,plain,
% 0.97/1.08 (P1(f3(a2,a2))),
% 0.97/1.08 inference(scs_inference,[],[3,52,22,17,16,9])).
% 0.97/1.08 cnf(80,plain,
% 0.97/1.08 (~P3(a1,a2,a1)),
% 0.97/1.08 inference(scs_inference,[],[4,3,5,52,22,17,16,9,23])).
% 0.97/1.08 cnf(82,plain,
% 0.97/1.08 (P2(f3(a2,a2),a2)),
% 0.97/1.08 inference(scs_inference,[],[4,3,5,52,42,22,17,16,9,23,8])).
% 0.97/1.08 cnf(84,plain,
% 0.97/1.08 (P3(a1,f5(a1),a1)),
% 0.97/1.08 inference(scs_inference,[],[4,3,5,52,42,36,22,17,16,9,23,8,21])).
% 0.97/1.08 cnf(86,plain,
% 0.97/1.08 (~P2(a2,a1)),
% 0.97/1.08 inference(scs_inference,[],[4,3,5,52,42,36,22,17,16,9,23,8,21,18])).
% 0.97/1.08 cnf(88,plain,
% 0.97/1.08 (P4(f7(a2),a2,a4)),
% 0.97/1.08 inference(scs_inference,[],[4,3,5,52,42,36,22,17,16,9,23,8,21,18,19])).
% 0.97/1.08 cnf(90,plain,
% 0.97/1.08 (P1(f6(a2,a2))),
% 0.97/1.08 inference(scs_inference,[],[4,3,5,52,42,36,22,17,16,9,23,8,21,18,19,10])).
% 0.97/1.08 cnf(92,plain,
% 0.97/1.08 (P2(a1,f6(a2,a2))),
% 0.97/1.08 inference(scs_inference,[],[4,3,5,52,42,36,22,17,16,9,23,8,21,18,19,10,20])).
% 0.97/1.08 cnf(96,plain,
% 0.97/1.08 (P1(f7(a2))),
% 0.97/1.08 inference(scs_inference,[],[4,3,5,52,42,36,22,17,16,9,23,8,21,18,19,10,20,11,15])).
% 0.97/1.08 cnf(98,plain,
% 0.97/1.08 (P3(a1,f3(a1,a1),f3(a1,a1))),
% 0.97/1.08 inference(scs_inference,[],[4,3,5,34,52,42,36,46,22,17,16,9,23,8,21,18,19,10,20,11,15,24])).
% 0.97/1.08 cnf(100,plain,
% 0.97/1.08 (P3(f3(a1,a1),a1,f3(a1,a1))),
% 0.97/1.08 inference(scs_inference,[],[4,3,5,34,52,42,36,46,22,17,16,9,23,8,21,18,19,10,20,11,15,24,25])).
% 0.97/1.08 cnf(106,plain,
% 0.97/1.08 (~P4(x1061,a4,a4)+~P4(a1,x1062,a1)+P4(x1061,f6(a1,a1),f6(a1,a1))),
% 0.97/1.08 inference(scs_inference,[],[4,3,5,34,52,42,36,46,22,17,16,9,23,8,21,18,19,10,20,11,15,24,25,29,27,26])).
% 0.97/1.08 cnf(110,plain,
% 0.97/1.08 (P2(f3(a2,a2),a1)),
% 0.97/1.08 inference(scs_inference,[],[5,1,78,8])).
% 0.97/1.08 cnf(112,plain,
% 0.97/1.08 (~P3(f3(a1,a1),f5(a1),a4)),
% 0.97/1.08 inference(scs_inference,[],[5,6,1,78,84,46,8,24])).
% 0.97/1.08 cnf(114,plain,
% 0.97/1.08 (P3(f3(a1,a1),f5(a1),f3(a1,a1))),
% 0.97/1.08 inference(scs_inference,[],[5,6,1,78,100,84,46,8,24,25])).
% 0.97/1.08 cnf(116,plain,
% 0.97/1.08 (~P3(a1,f3(a1,a1),a4)),
% 0.97/1.08 inference(scs_inference,[],[5,6,1,78,100,56,84,46,8,24,25,21])).
% 0.97/1.08 cnf(118,plain,
% 0.97/1.08 (P2(a1,f6(a1,a1))),
% 0.97/1.08 inference(scs_inference,[],[5,6,1,78,31,100,56,84,46,44,8,24,25,21,20])).
% 0.97/1.08 cnf(122,plain,
% 0.97/1.08 (P4(f3(a1,a1),a1,f6(a1,a1))),
% 0.97/1.08 inference(scs_inference,[],[5,6,1,58,78,31,100,56,84,60,46,44,8,24,25,21,20,23,29])).
% 0.97/1.08 cnf(136,plain,
% 0.97/1.08 (~P3(f3(a2,a2),a2,a2)),
% 0.97/1.08 inference(scs_inference,[],[110,118,82,76,42,11,23])).
% 0.97/1.08 cnf(140,plain,
% 0.97/1.08 (~P3(f5(a1),f3(a1,a1),a4)),
% 0.97/1.09 inference(scs_inference,[],[98,110,114,118,82,116,76,42,36,11,23,21,25])).
% 0.97/1.09 cnf(146,plain,
% 0.97/1.09 (~P3(x1461,x1462,a2)+~P4(x1462,a2,a2)+~P4(x1461,a2,a2)),
% 0.97/1.09 inference(scs_inference,[],[30,6,98,110,114,118,82,116,76,42,36,11,23,21,25,18,24,29])).
% 0.97/1.09 cnf(160,plain,
% 0.97/1.09 (~P4(a4,f6(a1,a1),f3(a2,a2))),
% 0.97/1.09 inference(scs_inference,[],[31,32,44,5,20,27])).
% 0.97/1.09 cnf(166,plain,
% 0.97/1.09 (~P3(a2,a1,a1)),
% 0.97/1.09 inference(scs_inference,[],[31,136,80,32,76,84,44,5,20,27,24,25,21])).
% 0.97/1.09 cnf(168,plain,
% 0.97/1.09 (~P4(f6(a1,a1),a4,f3(a2,a2))),
% 0.97/1.09 inference(scs_inference,[],[31,136,80,32,72,76,84,52,44,5,20,27,24,25,21,26])).
% 0.97/1.09 cnf(170,plain,
% 0.97/1.09 (P3(f5(a4),a4,a1)),
% 0.97/1.09 inference(scs_inference,[],[31,2,136,80,32,72,76,84,52,44,5,20,27,24,25,21,26,14])).
% 0.97/1.09 cnf(172,plain,
% 0.97/1.09 (P3(a1,a4,a4)),
% 0.97/1.09 inference(scs_inference,[],[31,2,136,80,32,72,76,84,52,44,5,20,27,24,25,21,26,14,12])).
% 0.97/1.09 cnf(174,plain,
% 0.97/1.09 (P4(a4,a4,a4)),
% 0.97/1.09 inference(scs_inference,[],[31,2,136,80,32,72,76,84,52,44,5,20,27,24,25,21,26,14,12,13])).
% 0.97/1.09 cnf(176,plain,
% 0.97/1.09 (P1(f5(a4))),
% 0.97/1.09 inference(scs_inference,[],[31,2,136,80,32,72,76,84,52,44,5,20,27,24,25,21,26,14,12,13,7])).
% 0.97/1.09 cnf(190,plain,
% 0.97/1.09 (~P3(f6(a1,a1),f6(a1,a1),f3(a2,a2))),
% 0.97/1.09 inference(scs_inference,[],[168,72,60,29])).
% 0.97/1.09 cnf(192,plain,
% 0.97/1.09 (~P3(a1,a1,a2)),
% 0.97/1.09 inference(scs_inference,[],[168,166,72,34,60,29,25])).
% 0.97/1.09 cnf(194,plain,
% 0.97/1.09 (P2(a4,a4)),
% 0.97/1.09 inference(scs_inference,[],[31,168,166,172,72,34,60,29,25,23])).
% 0.97/1.09 cnf(198,plain,
% 0.97/1.09 (P3(a4,f5(a4),a1)),
% 0.97/1.09 inference(scs_inference,[],[31,168,170,166,172,92,72,34,60,5,29,25,23,20,21])).
% 0.97/1.09 cnf(200,plain,
% 0.97/1.09 (~P3(a2,f5(a4),f5(a4))),
% 0.97/1.09 inference(scs_inference,[],[31,168,170,166,172,92,72,34,60,5,29,25,23,20,21,24])).
% 0.97/1.09 cnf(202,plain,
% 0.97/1.09 (~P4(f3(a1,a1),a1,f3(a2,a2))),
% 0.97/1.09 inference(scs_inference,[],[31,168,170,166,172,92,100,72,122,34,60,44,5,29,25,23,20,21,24,28])).
% 0.97/1.09 cnf(204,plain,
% 0.97/1.09 (P1(f3(a4,a4))),
% 0.97/1.09 inference(scs_inference,[],[31,2,168,170,166,172,92,100,72,122,34,60,44,5,29,25,23,20,21,24,28,9])).
% 0.97/1.09 cnf(206,plain,
% 0.97/1.09 (P4(a4,a4,f6(a4,a4))),
% 0.97/1.09 inference(scs_inference,[],[31,2,168,170,166,172,92,100,72,122,34,60,44,5,29,25,23,20,21,24,28,9,17])).
% 0.97/1.09 cnf(208,plain,
% 0.97/1.09 (P4(a1,f3(a1,a1),f6(a1,a1))),
% 0.97/1.09 inference(scs_inference,[],[31,2,168,170,166,172,92,100,72,122,34,60,44,5,29,25,23,20,21,24,28,9,17,22])).
% 0.97/1.09 cnf(212,plain,
% 0.97/1.09 (P3(a4,a4,f3(a4,a4))),
% 0.97/1.09 inference(scs_inference,[],[31,2,168,48,170,166,172,92,100,72,122,34,60,44,5,29,25,23,20,21,24,28,9,17,22,19,16])).
% 0.97/1.09 cnf(214,plain,
% 0.97/1.09 (P1(f6(a4,a4))),
% 0.97/1.09 inference(scs_inference,[],[31,2,168,48,170,166,172,92,100,72,122,34,60,44,5,29,25,23,20,21,24,28,9,17,22,19,16,10])).
% 0.97/1.09 cnf(224,plain,
% 0.97/1.09 (P4(f3(a4,a4),a1,a1)),
% 0.97/1.09 inference(scs_inference,[],[212,70])).
% 0.97/1.09 cnf(232,plain,
% 0.97/1.09 (P3(f3(a1,a1),f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 0.97/1.09 inference(scs_inference,[],[50,202,212,70,9,17,22,16])).
% 0.97/1.09 cnf(238,plain,
% 0.97/1.09 (P4(f3(a1,a1),f3(a1,a1),f6(a1,a1))),
% 0.97/1.09 inference(scs_inference,[],[50,208,202,212,206,174,60,46,70,9,17,22,16,10,27,29])).
% 0.97/1.09 cnf(242,plain,
% 0.97/1.09 (P2(f3(a4,a4),f3(a4,a4))),
% 0.97/1.09 inference(scs_inference,[],[50,208,202,194,200,212,206,174,60,46,70,9,17,22,16,10,27,29,21,23])).
% 0.97/1.09 cnf(244,plain,
% 0.97/1.09 (~P3(a4,f5(a4),a4)),
% 0.97/1.09 inference(scs_inference,[],[6,50,208,202,194,200,212,198,206,172,174,60,46,70,9,17,22,16,10,27,29,21,23,24])).
% 0.97/1.09 cnf(246,plain,
% 0.97/1.09 (~P4(f3(a4,a4),a1,a4)),
% 0.97/1.09 inference(scs_inference,[],[32,6,50,208,202,194,200,212,198,206,172,174,60,46,70,9,17,22,16,10,27,29,21,23,24,28])).
% 0.97/1.09 cnf(252,plain,
% 0.97/1.09 (P2(a2,a2)),
% 0.97/1.09 inference(scs_inference,[],[32,6,3,50,208,202,194,200,212,198,206,62,92,172,174,84,60,46,70,9,17,22,16,10,27,29,21,23,24,28,18,25,8])).
% 0.97/1.09 cnf(256,plain,
% 0.97/1.09 (P4(a1,a4,a1)),
% 0.97/1.09 inference(scs_inference,[],[32,22])).
% 0.97/1.09 cnf(258,plain,
% 0.97/1.09 (P3(a1,f3(a4,a4),f3(a4,a4))),
% 0.97/1.09 inference(scs_inference,[],[32,242,22,18])).
% 0.97/1.09 cnf(260,plain,
% 0.97/1.09 (P4(f6(a4,a4),a1,a1)),
% 0.97/1.09 inference(scs_inference,[],[32,242,206,22,18,27])).
% 0.97/1.09 cnf(264,plain,
% 0.97/1.09 (~P4(a4,a1,a4)),
% 0.97/1.09 inference(scs_inference,[],[32,242,246,206,170,80,212,172,22,18,27,25,29])).
% 0.97/1.09 cnf(266,plain,
% 0.97/1.09 (P3(a4,a1,a4)),
% 0.97/1.09 inference(scs_inference,[],[32,242,246,206,170,80,212,172,22,18,27,25,29,21])).
% 0.97/1.09 cnf(268,plain,
% 0.97/1.09 (~P4(f3(f3(a1,a1),f3(a1,a1)),f3(a1,a1),f3(a2,a2))),
% 0.97/1.09 inference(scs_inference,[],[32,232,238,190,242,246,206,170,80,212,172,22,18,27,25,29,21,28])).
% 0.97/1.09 cnf(270,plain,
% 0.97/1.09 (~P3(a4,f5(a4),a2)),
% 0.97/1.09 inference(scs_inference,[],[32,232,238,190,242,246,86,206,194,198,170,80,212,172,22,18,27,25,29,21,28,23])).
% 0.97/1.09 cnf(272,plain,
% 0.97/1.09 (~P3(f5(a4),a4,f5(a4))),
% 0.97/1.09 inference(scs_inference,[],[32,232,238,190,242,246,244,86,206,194,198,170,80,212,172,22,18,27,25,29,21,28,23,24])).
% 0.97/1.09 cnf(283,plain,
% 0.97/1.09 (P4(x2831,f6(a1,a1),f6(a1,a1))+~P4(x2831,a4,a4)),
% 0.97/1.09 inference(scs_inference,[],[256,106])).
% 0.97/1.09 cnf(285,plain,
% 0.97/1.09 (P4(f6(a4,a4),f6(a4,a4),f6(f6(a4,a4),f6(a4,a4)))),
% 0.97/1.09 inference(scs_inference,[],[214,17])).
% 0.97/1.09 cnf(291,plain,
% 0.97/1.09 (~P4(a1,a1,a4)),
% 0.97/1.09 inference(scs_inference,[],[32,6,268,214,264,266,170,172,17,22,25,29])).
% 0.97/1.09 cnf(295,plain,
% 0.97/1.09 (P2(f3(a2,a2),f3(a2,a2))),
% 0.97/1.09 inference(scs_inference,[],[32,6,268,214,272,264,266,252,76,170,172,17,22,25,29,21,23])).
% 0.97/1.09 cnf(297,plain,
% 0.97/1.09 (~P4(a1,a4,a4)),
% 0.97/1.09 inference(scs_inference,[],[32,6,268,214,272,256,264,266,252,76,170,172,17,22,25,29,21,23,26])).
% 0.97/1.09 cnf(299,plain,
% 0.97/1.09 (P3(a1,a2,a2)),
% 0.97/1.09 inference(scs_inference,[],[3,32,6,268,214,272,256,264,266,252,76,170,172,17,22,25,29,21,23,26,12])).
% 0.97/1.09 cnf(301,plain,
% 0.97/1.09 (P4(a4,a2,a2)),
% 0.97/1.09 inference(scs_inference,[],[3,32,6,268,214,272,256,264,266,252,76,170,172,17,22,25,29,21,23,26,12,13])).
% 0.97/1.09 cnf(303,plain,
% 0.97/1.09 (P1(f5(a2))),
% 0.97/1.09 inference(scs_inference,[],[3,32,6,268,214,272,256,264,266,252,76,170,172,17,22,25,29,21,23,26,12,13,7])).
% 0.97/1.09 cnf(305,plain,
% 0.97/1.09 (P3(f5(a2),a2,a1)),
% 0.97/1.09 inference(scs_inference,[],[3,32,6,268,214,272,256,264,266,252,76,170,172,17,22,25,29,21,23,26,12,13,7,14])).
% 0.97/1.09 cnf(309,plain,
% 0.97/1.09 (~P4(a4,f6(a2,a2),f3(a2,a2))),
% 0.97/1.09 inference(scs_inference,[],[3,30,32,6,268,214,272,256,264,266,252,116,74,76,170,172,17,22,25,29,21,23,26,12,13,7,14,18,27])).
% 0.97/1.09 cnf(319,plain,
% 0.97/1.09 (~P3(a4,a4,a2)),
% 0.97/1.09 inference(scs_inference,[],[301,146])).
% 0.97/1.09 cnf(323,plain,
% 0.97/1.09 (P4(a1,f6(a4,a4),a1)),
% 0.97/1.09 inference(scs_inference,[],[176,260,301,146,17,22])).
% 0.97/1.09 cnf(325,plain,
% 0.97/1.09 (P3(a1,f3(a2,a2),f3(a2,a2))),
% 0.97/1.09 inference(scs_inference,[],[295,176,260,301,146,17,22,18])).
% 0.97/1.09 cnf(333,plain,
% 0.97/1.09 (P3(a2,a1,a2)),
% 0.97/1.09 inference(scs_inference,[],[34,32,6,285,295,299,176,260,291,301,266,170,146,17,22,18,27,25,29,21])).
% 0.97/1.09 cnf(337,plain,
% 0.97/1.09 (~P3(a1,a1,f3(a2,a2))),
% 0.97/1.09 inference(scs_inference,[],[34,31,32,6,285,295,299,176,260,291,301,266,174,170,212,5,146,17,22,18,27,25,29,21,28,23])).
% 0.97/1.09 cnf(339,plain,
% 0.97/1.09 (~P3(a1,a4,a1)),
% 0.97/1.09 inference(scs_inference,[],[34,31,32,6,285,295,299,176,260,291,301,266,198,174,170,212,5,146,17,22,18,27,25,29,21,28,23,24])).
% 0.97/1.09 cnf(341,plain,
% 0.97/1.09 (~P4(f6(a4,a4),f6(a1,a1),f3(a2,a2))),
% 0.97/1.09 inference(scs_inference,[],[34,31,32,6,285,295,299,176,260,291,301,160,266,206,198,174,52,170,212,5,146,17,22,18,27,25,29,21,28,23,24,26])).
% 0.97/1.09 cnf(343,plain,
% 0.97/1.09 (P1(f7(a4))),
% 0.97/1.09 inference(scs_inference,[],[34,31,32,6,285,295,299,176,260,291,301,160,266,206,198,174,52,170,212,5,146,17,22,18,27,25,29,21,28,23,24,26,66])).
% 0.97/1.09 cnf(344,plain,
% 0.97/1.09 (P4(f7(a4),a4,a4)),
% 0.97/1.09 inference(scs_inference,[],[34,31,32,6,285,295,299,176,260,291,301,160,266,206,198,174,52,170,212,5,146,17,22,18,27,25,29,21,28,23,24,26,66,64])).
% 0.97/1.09 cnf(345,plain,
% 0.97/1.09 (P4(f7(a4),f6(a1,a1),f6(a1,a1))),
% 0.97/1.09 inference(scs_inference,[],[34,31,32,6,285,295,299,176,260,291,301,160,266,206,198,174,52,170,212,5,146,17,22,18,27,25,29,21,28,23,24,26,66,64,283])).
% 0.97/1.09 cnf(347,plain,
% 0.97/1.09 (P2(f5(a4),f5(a4))),
% 0.97/1.09 inference(scs_inference,[],[34,31,32,6,285,295,299,176,260,291,301,160,266,206,198,174,52,170,212,5,146,17,22,18,27,25,29,21,28,23,24,26,66,64,283,8])).
% 0.97/1.09 cnf(355,plain,
% 0.97/1.09 (~P3(f5(a4),a1,a1)),
% 0.97/1.09 inference(scs_inference,[],[6,309,347,264,88,198,266,22,18,27,25])).
% 0.97/1.09 cnf(369,plain,
% 0.97/1.09 (P3(f3(a4,a4),f3(a4,a4),f3(f3(a4,a4),f3(a4,a4)))),
% 0.97/1.09 inference(scs_inference,[],[6,36,309,140,344,297,258,347,204,224,270,305,232,190,246,264,88,76,198,266,122,44,172,5,22,18,27,25,29,21,23,28,26,24,16])).
% 0.97/1.09 cnf(375,plain,
% 0.97/1.09 (~P2(f5(a2),f3(a2,a2))),
% 0.97/1.09 inference(scs_inference,[],[6,36,309,140,344,297,258,347,204,224,270,305,232,190,246,82,264,88,76,198,266,122,44,172,5,22,18,27,25,29,21,23,28,26,24,16,9,10,11])).
% 0.97/1.09 cnf(379,plain,
% 0.97/1.09 (P2(a2,f5(a2))),
% 0.97/1.09 inference(scs_inference,[],[6,36,309,140,344,297,258,347,204,303,224,270,305,232,190,246,82,264,118,88,76,198,266,122,44,172,5,3,22,18,27,25,29,21,23,28,26,24,16,9,10,11,20,8])).
% 0.97/1.09 cnf(383,plain,
% 0.97/1.09 (P3(f7(a4),f7(a4),f3(f7(a4),f7(a4)))),
% 0.97/1.09 inference(scs_inference,[],[343,9,16])).
% 0.97/1.09 cnf(387,plain,
% 0.97/1.09 (P4(f6(a1,a1),f7(a4),f6(a1,a1))),
% 0.97/1.09 inference(scs_inference,[],[345,343,9,16,10,22])).
% 0.97/1.09 cnf(389,plain,
% 0.97/1.09 (~P2(f5(a2),a1)),
% 0.97/1.09 inference(scs_inference,[],[345,379,343,86,9,16,10,22,11])).
% 0.97/1.09 cnf(391,plain,
% 0.97/1.09 (P4(f6(a4,a4),f6(a1,a1),f6(a1,a1))),
% 0.97/1.09 inference(scs_inference,[],[345,379,343,86,206,52,9,16,10,22,11,27])).
% 0.97/1.09 cnf(395,plain,
% 0.97/1.09 (P2(f3(a2,a2),f5(a2))),
% 0.97/1.09 inference(scs_inference,[],[375,345,379,343,339,303,78,86,206,84,52,9,16,10,22,11,27,25,8])).
% 0.97/1.09 cnf(401,plain,
% 0.97/1.09 (~P3(a1,f3(a2,a2),f5(a2))),
% 0.97/1.09 inference(scs_inference,[],[31,34,369,375,345,325,379,343,339,224,303,78,86,206,84,52,9,16,10,22,11,27,25,8,29,21,23])).
% 0.97/1.09 cnf(403,plain,
% 0.97/1.09 (~P4(a1,f6(a4,a4),a4)),
% 0.97/1.09 inference(scs_inference,[],[6,31,34,323,369,375,345,325,379,343,339,224,303,78,86,206,84,52,9,16,10,22,11,27,25,8,29,21,23,28])).
% 0.97/1.09 cnf(405,plain,
% 0.97/1.09 (P4(f7(a4),a1,a1)),
% 0.97/1.09 inference(scs_inference,[],[6,31,34,32,323,369,375,345,325,379,343,339,224,303,78,86,344,206,84,52,9,16,10,22,11,27,25,8,29,21,23,28,26])).
% 0.97/1.09 cnf(407,plain,
% 0.97/1.09 (~P3(a1,f3(a2,a2),a1)),
% 0.97/1.09 inference(scs_inference,[],[6,31,34,32,323,369,375,345,337,325,379,343,339,224,303,78,86,344,206,84,52,9,16,10,22,11,27,25,8,29,21,23,28,26,24])).
% 0.97/1.09 cnf(411,plain,
% 0.97/1.09 (P4(f7(f3(a2,a2)),f3(a2,a2),a4)),
% 0.97/1.09 inference(scs_inference,[],[6,31,34,32,323,369,375,345,337,325,379,343,339,224,303,78,86,344,206,84,52,9,16,10,22,11,27,25,8,29,21,23,28,26,24,15,19])).
% 0.97/1.09 cnf(415,plain,
% 0.97/1.09 (~P2(f6(a2,a2),f3(a2,a2))),
% 0.97/1.09 inference(scs_inference,[],[341,92,5,22,11])).
% 0.97/1.09 cnf(421,plain,
% 0.97/1.09 (P2(a1,f5(a2))),
% 0.97/1.09 inference(scs_inference,[],[36,34,32,341,192,389,303,92,344,264,1,5,22,11,27,25,8])).
% 0.97/1.09 cnf(423,plain,
% 0.97/1.09 (~P3(f3(a2,a2),a1,f5(a2))),
% 0.97/1.09 inference(scs_inference,[],[36,34,32,341,192,401,389,303,92,344,264,1,5,22,11,27,25,8,21])).
% 0.97/1.09 cnf(427,plain,
% 0.97/1.09 (~P4(f6(a1,a1),f7(a4),f3(a2,a2))),
% 0.97/1.09 inference(scs_inference,[],[36,34,32,391,319,341,387,192,401,389,301,303,92,344,264,88,1,5,22,11,27,25,8,21,28,26])).
% 0.97/1.09 cnf(431,plain,
% 0.97/1.09 (~P3(f5(a4),f5(a1),f5(a1))),
% 0.97/1.09 inference(scs_inference,[],[36,34,32,391,319,341,387,395,192,401,389,355,305,301,303,92,344,264,88,1,5,22,11,27,25,8,21,28,26,23,24])).
% 0.97/1.09 cnf(435,plain,
% 0.97/1.09 (P4(a4,f5(a1),f5(a1))),
% 0.97/1.09 inference(scs_inference,[],[38,36,34,32,391,319,341,387,395,192,401,389,355,305,301,303,92,344,264,88,1,5,22,11,27,25,8,21,28,26,23,24,12,13])).
% 0.97/1.09 cnf(439,plain,
% 0.97/1.09 (P3(f5(f5(a1)),f5(a1),a1)),
% 0.97/1.09 inference(scs_inference,[],[38,36,34,32,391,319,341,387,395,192,401,389,355,305,301,303,92,344,264,88,1,5,22,11,27,25,8,21,28,26,23,24,12,13,7,14])).
% 0.97/1.09 cnf(461,plain,
% 0.97/1.09 (P4(f3(f7(a4),f7(a4)),a1,a1)),
% 0.97/1.09 inference(scs_inference,[],[38,34,415,411,333,383,423,439,405,90,78,76,17,22,25,8,21,29])).
% 0.97/1.09 cnf(467,plain,
% 0.97/1.09 (P3(f5(f5(a1)),a1,a1)),
% 0.97/1.09 inference(scs_inference,[],[38,36,34,415,411,333,383,423,439,435,421,405,90,344,78,76,5,17,22,25,8,21,29,26,23,24])).
% 0.97/1.09 cnf(488,plain,
% 0.97/1.09 (P4(f3(a4,a4),a1,f3(a1,a1))),
% 0.97/1.09 inference(scs_inference,[],[32,112,403,431,285,96,439,323,46,266,212,17,22,27,25,21,29])).
% 0.97/1.09 cnf(490,plain,
% 0.97/1.09 (~P4(f3(a4,a4),a1,f3(a2,a2))),
% 0.97/1.09 inference(scs_inference,[],[32,112,403,431,285,337,96,439,323,46,266,212,17,22,27,25,21,29,28])).
% 0.97/1.09 cnf(508,plain,
% 0.97/1.09 (~P3(f5(a1),f3(a2,a2),f5(a1))),
% 0.97/1.09 inference(scs_inference,[],[488,407,256,439,22,27,25])).
% 0.97/1.09 cnf(550,plain,
% 0.97/1.09 ($false),
% 0.97/1.09 inference(scs_inference,[],[32,44,34,427,508,490,461,467,258,291,214,192,421,488,305,86,299,9,16,10,22,25,27,21,29,26,23]),
% 0.97/1.09 ['proof']).
% 0.97/1.09 % SZS output end Proof
% 0.97/1.09 % Total time :0.420000s
%------------------------------------------------------------------------------