TSTP Solution File: MGT024+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n013.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 09:06:50 EDT 2023
% Result : Theorem 205.65s 205.66s
% Output : CNFRefutation 205.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n013.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 : Mon Aug 28 06:05:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 205.59/205.65 %-------------------------------------------
% 205.59/205.65 % File :CSE---1.6
% 205.59/205.65 % Problem :theBenchmark
% 205.59/205.65 % Transform :cnf
% 205.59/205.65 % Format :tptp:raw
% 205.59/205.65 % Command :java -jar mcs_scs.jar %d %s
% 205.59/205.65
% 205.59/205.65 % Result :Theorem 205.020000s
% 205.59/205.65 % Output :CNFRefutation 205.020000s
% 205.59/205.65 %-------------------------------------------
% 205.65/205.65 %--------------------------------------------------------------------------
% 205.65/205.65 % File : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% 205.65/205.65 % Domain : Management (Organisation Theory)
% 205.65/205.65 % Problem : Subpopulation growth rates are in equilibria
% 205.65/205.65 % Version : [PB+94] axioms : Reduced & Augmented > Complete.
% 205.65/205.65 % English : If a subpopulation has positive growth rate, then the other
% 205.65/205.65 % subpopulation must have negative growth rate in equilibrium.
% 205.65/205.65
% 205.65/205.65 % Refs : [PM93] Peli & Masuch (1993), The Logic of Propogation Strateg
% 205.65/205.65 % : [PM94] Peli & Masuch (1994), The Logic of Propogation Strateg
% 205.65/205.65 % : [Kam95] Kamps (1995), Email to G. Sutcliffe
% 205.65/205.65 % Source : [Kam95]
% 205.65/205.65 % Names :
% 205.65/205.65
% 205.65/205.65 % Status : Theorem
% 205.65/205.65 % Rating : 0.11 v8.1.0, 0.06 v7.5.0, 0.09 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.00 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.00 v6.1.0, 0.03 v6.0.0, 0.04 v5.4.0, 0.07 v5.3.0, 0.15 v5.2.0, 0.00 v4.1.0, 0.04 v4.0.0, 0.08 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0, 0.00 v3.2.0, 0.09 v3.1.0, 0.00 v2.5.0, 0.12 v2.4.0, 0.25 v2.3.0, 0.33 v2.2.1, 0.00 v2.1.0
% 205.65/205.65 % Syntax : Number of formulae : 7 ( 0 unt; 0 def)
% 205.65/205.65 % Number of atoms : 40 ( 4 equ)
% 205.65/205.65 % Maximal formula atoms : 9 ( 5 avg)
% 205.65/205.65 % Number of connectives : 36 ( 3 ~; 4 |; 18 &)
% 205.65/205.65 % ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% 205.65/205.65 % Maximal formula depth : 7 ( 6 avg)
% 205.65/205.65 % Maximal term depth : 2 ( 1 avg)
% 205.65/205.65 % Number of predicates : 8 ( 7 usr; 0 prp; 1-4 aty)
% 205.65/205.65 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 205.65/205.65 % Number of variables : 14 ( 14 !; 0 ?)
% 205.65/205.65 % SPC : FOF_THM_RFO_SEQ
% 205.65/205.65
% 205.65/205.65 % Comments :
% 205.65/205.65 %--------------------------------------------------------------------------
% 205.65/205.65 %----Subsitution axioms
% 205.65/205.65 %----Problem axioms
% 205.65/205.65 %----MP. The time points when FM and EP are present in the environment
% 205.65/205.65 %----occur during the environment sustains.
% 205.65/205.65 fof(mp_time_point_occur,axiom,
% 205.65/205.65 ! [E,T] :
% 205.65/205.65 ( ( environment(E)
% 205.65/205.65 & subpopulations(first_movers,efficient_producers,E,T) )
% 205.65/205.65 => in_environment(E,T) ) ).
% 205.65/205.65
% 205.65/205.65 %----MP. If both subpopulations are present in the environment, then the
% 205.65/205.65 %----number of organizations is positive in this environment.
% 205.65/205.66 fof(mp_positive_number_of_organizations,axiom,
% 205.65/205.66 ! [E,T] :
% 205.65/205.66 ( ( environment(E)
% 205.65/205.66 & subpopulations(first_movers,efficient_producers,E,T) )
% 205.65/205.66 => greater(number_of_organizations(E,T),zero) ) ).
% 205.65/205.66
% 205.65/205.66 %----MP. on equilibrium
% 205.65/205.66 fof(mp_equilibrium,axiom,
% 205.65/205.66 ! [E,T] :
% 205.65/205.66 ( ( environment(E)
% 205.65/205.66 & greater_or_equal(T,equilibrium(E)) )
% 205.65/205.66 => ~ greater(equilibrium(E),T) ) ).
% 205.65/205.66
% 205.65/205.66 %----A3. Resource availability decreases until equilibrium is reached.
% 205.65/205.66 fof(a3,hypothesis,
% 205.65/205.66 ! [E,T] :
% 205.65/205.66 ( ( environment(E)
% 205.65/205.66 & in_environment(E,T)
% 205.65/205.66 & greater(number_of_organizations(E,T),zero) )
% 205.65/205.66 => ( ( greater(equilibrium(E),T)
% 205.65/205.66 => decreases(resources(E,T)) )
% 205.65/205.66 & ( ~ greater(equilibrium(E),T)
% 205.65/205.66 => constant(resources(E,T)) ) ) ) ).
% 205.65/205.66
% 205.65/205.66 %----A6. If resource availability decreases, then the number of
% 205.65/205.66 %----organizations increases or constant.
% 205.65/205.66 fof(a6,hypothesis,
% 205.65/205.66 ! [E,T] :
% 205.65/205.66 ( ( environment(E)
% 205.65/205.66 & in_environment(E,T) )
% 205.65/205.66 => ( ( decreases(resources(E,T))
% 205.65/205.66 => ~ decreases(number_of_organizations(E,T)) )
% 205.65/205.66 & ( constant(resources(E,T))
% 205.65/205.66 => constant(number_of_organizations(E,T)) ) ) ) ).
% 205.65/205.66
% 205.65/205.66 %----L7. If one of the two subpopulations has positive growth rate, then
% 205.65/205.66 %----the other subpopulation must have negative growth rate if the total
% 205.65/205.66 %----number of organizations is constant.
% 205.65/205.66 fof(l7,hypothesis,
% 205.65/205.66 ! [E,T] :
% 205.65/205.66 ( ( environment(E)
% 205.65/205.66 & subpopulations(first_movers,efficient_producers,E,T)
% 205.65/205.66 & constant(number_of_organizations(E,T)) )
% 205.65/205.66 => ( ( growth_rate(first_movers,T) = zero
% 205.65/205.66 & growth_rate(efficient_producers,T) = zero )
% 205.65/205.66 | ( greater(growth_rate(first_movers,T),zero)
% 205.65/205.66 & greater(zero,growth_rate(efficient_producers,T)) )
% 205.65/205.66 | ( greater(growth_rate(efficient_producers,T),zero)
% 205.65/205.66 & greater(zero,growth_rate(first_movers,T)) ) ) ) ).
% 205.65/205.66
% 205.65/205.66 %----GOAL: L6. If a subpopulation has positive growth rate, then the
% 205.65/205.66 %----other subpopulation must have negative growth rate in equilibrium.
% 205.65/205.66 fof(prove_l6,conjecture,
% 205.65/205.66 ! [E,T] :
% 205.65/205.66 ( ( environment(E)
% 205.65/205.66 & subpopulations(first_movers,efficient_producers,E,T)
% 205.65/205.66 & greater_or_equal(T,equilibrium(E)) )
% 205.65/205.66 => ( ( growth_rate(first_movers,T) = zero
% 205.65/205.66 & growth_rate(efficient_producers,T) = zero )
% 205.65/205.66 | ( greater(growth_rate(first_movers,T),zero)
% 205.65/205.66 & greater(zero,growth_rate(efficient_producers,T)) )
% 205.65/205.66 | ( greater(growth_rate(efficient_producers,T),zero)
% 205.65/205.66 & greater(zero,growth_rate(first_movers,T)) ) ) ) ).
% 205.65/205.66
% 205.65/205.66 %--------------------------------------------------------------------------
% 205.65/205.66 %-------------------------------------------
% 205.65/205.66 % Proof found
% 205.65/205.66 % SZS status Theorem for theBenchmark
% 205.65/205.66 % SZS output start Proof
% 205.65/205.66 %ClaNum:44(EqnAxiom:23)
% 205.65/205.66 %VarNum:111(SingletonVarNum:30)
% 205.65/205.66 %MaxLitNum:6
% 205.65/205.66 %MaxfuncDepth:1
% 205.65/205.66 %SharedTerms:17
% 205.65/205.66 %goalClause: 24 25 26 27 29 30
% 205.65/205.66 %singleGoalClaCount:3
% 205.65/205.66 [24]P1(a1)
% 205.65/205.66 [26]P6(a5,a3,a1,a4)
% 205.65/205.66 [25]P4(a4,f2(a1))
% 205.65/205.66 [27]~E(f6(a5,a4),a7)+~E(f6(a3,a4),a7)
% 205.65/205.66 [29]~P5(a7,f6(a5,a4))+~P5(f6(a3,a4),a7)
% 205.65/205.66 [30]~P5(a7,f6(a3,a4))+~P5(f6(a5,a4),a7)
% 205.65/205.66 [35]~P1(x351)+P7(x351,x352)+~P6(a5,a3,x351,x352)
% 205.65/205.66 [28]~P1(x281)+~P5(f2(x281),x282)+~P4(x282,f2(x281))
% 205.65/205.66 [36]~P1(x361)+~P6(a5,a3,x361,x362)+P5(f8(x361,x362),a7)
% 205.65/205.66 [31]~P1(x311)+~P7(x311,x312)+~P2(f9(x311,x312))+P2(f8(x311,x312))
% 205.65/205.66 [32]~P1(x321)+~P7(x321,x322)+~P3(f8(x321,x322))+~P3(f9(x321,x322))
% 205.65/205.66 [33]~P1(x331)+~P7(x331,x332)+P5(f2(x331),x332)+~P5(f8(x331,x332),a7)+P2(f9(x331,x332))
% 205.65/205.66 [34]~P1(x341)+~P7(x341,x342)+~P5(f2(x341),x342)+~P5(f8(x341,x342),a7)+P3(f9(x341,x342))
% 205.65/205.66 [37]~P1(x372)+~P6(a5,a3,x372,x371)+~P2(f8(x372,x371))+P5(a7,f6(a5,x371))+P5(a7,f6(a3,x371))+E(f6(a5,x371),a7)
% 205.65/205.66 [38]~P1(x382)+~P6(a5,a3,x382,x381)+~P2(f8(x382,x381))+P5(a7,f6(a3,x381))+P5(a7,f6(a5,x381))+E(f6(a3,x381),a7)
% 205.65/205.66 [39]~P1(x392)+~P6(a5,a3,x392,x391)+~P2(f8(x392,x391))+P5(f6(a5,x391),a7)+P5(a7,f6(a5,x391))+E(f6(a5,x391),a7)
% 205.65/205.66 [40]~P1(x402)+~P6(a5,a3,x402,x401)+~P2(f8(x402,x401))+P5(f6(a3,x401),a7)+P5(a7,f6(a3,x401))+E(f6(a5,x401),a7)
% 205.65/205.66 [41]~P1(x412)+~P6(a5,a3,x412,x411)+~P2(f8(x412,x411))+P5(f6(a5,x411),a7)+P5(a7,f6(a5,x411))+E(f6(a3,x411),a7)
% 205.65/205.66 [42]~P1(x422)+~P6(a5,a3,x422,x421)+~P2(f8(x422,x421))+P5(f6(a3,x421),a7)+P5(a7,f6(a3,x421))+E(f6(a3,x421),a7)
% 205.65/205.66 [43]~P1(x432)+~P6(a5,a3,x432,x431)+~P2(f8(x432,x431))+P5(f6(a5,x431),a7)+P5(f6(a3,x431),a7)+E(f6(a5,x431),a7)
% 205.65/205.66 [44]~P1(x442)+~P6(a5,a3,x442,x441)+~P2(f8(x442,x441))+P5(f6(a3,x441),a7)+P5(f6(a5,x441),a7)+E(f6(a3,x441),a7)
% 205.65/205.66 %EqnAxiom
% 205.65/205.66 [1]E(x11,x11)
% 205.65/205.66 [2]E(x22,x21)+~E(x21,x22)
% 205.65/205.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 205.65/205.66 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 205.65/205.66 [5]~E(x51,x52)+E(f6(x51,x53),f6(x52,x53))
% 205.65/205.66 [6]~E(x61,x62)+E(f6(x63,x61),f6(x63,x62))
% 205.65/205.66 [7]~E(x71,x72)+E(f8(x71,x73),f8(x72,x73))
% 205.65/205.66 [8]~E(x81,x82)+E(f8(x83,x81),f8(x83,x82))
% 205.65/205.66 [9]~E(x91,x92)+E(f9(x91,x93),f9(x92,x93))
% 205.65/205.66 [10]~E(x101,x102)+E(f9(x103,x101),f9(x103,x102))
% 205.65/205.66 [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 205.65/205.66 [12]P4(x122,x123)+~E(x121,x122)+~P4(x121,x123)
% 205.65/205.66 [13]P4(x133,x132)+~E(x131,x132)+~P4(x133,x131)
% 205.65/205.66 [14]P6(x142,x143,x144,x145)+~E(x141,x142)+~P6(x141,x143,x144,x145)
% 205.65/205.66 [15]P6(x153,x152,x154,x155)+~E(x151,x152)+~P6(x153,x151,x154,x155)
% 205.65/205.66 [16]P6(x163,x164,x162,x165)+~E(x161,x162)+~P6(x163,x164,x161,x165)
% 205.65/205.66 [17]P6(x173,x174,x175,x172)+~E(x171,x172)+~P6(x173,x174,x175,x171)
% 205.65/205.66 [18]~P2(x181)+P2(x182)+~E(x181,x182)
% 205.65/205.66 [19]P5(x192,x193)+~E(x191,x192)+~P5(x191,x193)
% 205.65/205.66 [20]P5(x203,x202)+~E(x201,x202)+~P5(x203,x201)
% 205.65/205.66 [21]P7(x212,x213)+~E(x211,x212)+~P7(x211,x213)
% 205.65/205.66 [22]P7(x223,x222)+~E(x221,x222)+~P7(x223,x221)
% 205.65/205.66 [23]~P3(x231)+P3(x232)+~E(x231,x232)
% 205.65/205.66
% 205.65/205.66 %-------------------------------------------
% 205.65/205.66 cnf(48,plain,
% 205.65/205.66 (P5(f8(a1,a4),a7)),
% 205.65/205.66 inference(scs_inference,[],[24,26,25,35,28,20,36])).
% 205.65/205.66 cnf(52,plain,
% 205.65/205.66 (P2(f8(a1,a4))+~P2(f9(a1,a4))),
% 205.65/205.66 inference(scs_inference,[],[24,26,25,35,28,20,36,32,31])).
% 205.65/205.66 cnf(54,plain,
% 205.65/205.66 (P2(f9(a1,a4))),
% 205.65/205.66 inference(scs_inference,[],[24,26,25,35,28,20,36,32,31,33])).
% 205.65/205.66 cnf(57,plain,
% 205.65/205.66 (P2(f8(a1,a4))),
% 205.65/205.66 inference(scs_inference,[],[54,52])).
% 205.65/205.66 cnf(73,plain,
% 205.65/205.66 (P5(a7,f6(a3,a4))+P5(f6(a3,a4),a7)+E(f6(a5,a4),a7)),
% 205.65/205.66 inference(scs_inference,[],[26,57,24,11,40])).
% 205.65/205.66 cnf(75,plain,
% 205.65/205.66 (E(f6(a5,a4),a7)+P5(a7,f6(a5,a4))+P5(f6(a5,a4),a7)),
% 205.65/205.66 inference(scs_inference,[],[26,57,24,11,40,39])).
% 205.65/205.66 cnf(77,plain,
% 205.65/205.66 (E(f6(a3,a4),a7)+P5(a7,f6(a3,a4))+P5(a7,f6(a5,a4))),
% 205.65/205.66 inference(scs_inference,[],[26,57,24,11,40,39,38])).
% 205.65/205.66 cnf(79,plain,
% 205.65/205.66 (E(f6(a5,a4),a7)+P5(a7,f6(a3,a4))+P5(a7,f6(a5,a4))),
% 205.65/205.66 inference(scs_inference,[],[26,57,24,11,40,39,38,37])).
% 205.65/205.66 cnf(81,plain,
% 205.65/205.66 (P5(x811,a7)+~E(f8(a1,a4),x811)),
% 205.65/205.66 inference(scs_inference,[],[26,48,57,24,11,40,39,38,37,19])).
% 205.65/205.66 cnf(84,plain,
% 205.65/205.66 (E(f6(a5,a4),a7)+P5(f6(a3,a4),a7)+P5(f6(a5,a4),a7)),
% 205.65/205.66 inference(scs_inference,[],[26,57,24,43])).
% 205.65/205.66 cnf(86,plain,
% 205.65/205.66 (E(f6(a3,a4),a7)+P5(a7,f6(a3,a4))+P5(f6(a3,a4),a7)),
% 205.65/205.66 inference(scs_inference,[],[26,57,24,43,42])).
% 205.65/205.66 cnf(88,plain,
% 205.65/205.66 (E(f6(a3,a4),a7)+P5(f6(a3,a4),a7)+P5(f6(a5,a4),a7)),
% 205.65/205.66 inference(scs_inference,[],[57,26,24,44])).
% 205.65/205.66 cnf(108,plain,
% 205.65/205.66 (~E(f8(a1,a4),f6(a5,a4))+~P5(a7,f6(a3,a4))),
% 205.65/205.66 inference(scs_inference,[],[30,81])).
% 205.65/205.67 cnf(111,plain,
% 205.65/205.67 (~E(f6(a5,a4),f8(a1,a4))+~P5(a7,f6(a3,a4))),
% 205.65/205.67 inference(scs_inference,[],[108,2])).
% 205.65/205.67 cnf(144,plain,
% 205.65/205.67 (P5(f6(a3,a4),a7)+E(f6(a5,a4),a7)+~P5(f6(a5,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[73,30])).
% 205.65/205.67 cnf(145,plain,
% 205.65/205.67 (E(f6(a5,a4),a7)+P5(f6(a5,a4),a7)+~P5(f6(a3,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[75,29])).
% 205.65/205.67 cnf(227,plain,
% 205.65/205.67 (E(a7,f6(a5,a4))+P5(a7,f6(a5,a4))+P5(f6(a5,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[2,75])).
% 205.65/205.67 cnf(242,plain,
% 205.65/205.67 (E(a7,f6(a5,a4))+P5(a7,f6(a5,a4))+P5(a7,f6(a3,a4))),
% 205.65/205.67 inference(scs_inference,[],[2,79])).
% 205.65/205.67 cnf(243,plain,
% 205.65/205.67 (P5(a7,f6(a5,a4))+~E(f6(a5,a4),f8(a1,a4))+E(a7,f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[242,111])).
% 205.65/205.67 cnf(244,plain,
% 205.65/205.67 (~E(f6(a5,a4),f8(a1,a4))+E(a7,f6(a5,a4))+~P5(f6(a3,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[243,29])).
% 205.65/205.67 cnf(245,plain,
% 205.65/205.67 (~E(f8(a1,a4),f6(a5,a4))+E(a7,f6(a5,a4))+~P5(f6(a3,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[244,2])).
% 205.65/205.67 cnf(253,plain,
% 205.65/205.67 (E(a7,f6(a5,a4))+P5(f6(a3,a4),a7)+P5(f6(a5,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[2,84])).
% 205.65/205.67 cnf(254,plain,
% 205.65/205.67 (P5(f6(a3,a4),a7)+E(a7,f6(a5,a4))+~P5(a7,f6(a3,a4))),
% 205.65/205.67 inference(scs_inference,[],[253,30])).
% 205.65/205.67 cnf(259,plain,
% 205.65/205.67 (E(a7,f6(a3,a4))+P5(a7,f6(a3,a4))+P5(f6(a3,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[2,86])).
% 205.65/205.67 cnf(260,plain,
% 205.65/205.67 (P5(a7,f6(a3,a4))+E(a7,f6(a3,a4))+~P5(a7,f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[259,29])).
% 205.65/205.67 cnf(266,plain,
% 205.65/205.67 (E(a7,f6(a3,a4))+P5(f6(a5,a4),a7)+P5(f6(a3,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[2,88])).
% 205.65/205.67 cnf(267,plain,
% 205.65/205.67 (P5(f6(a5,a4),a7)+E(a7,f6(a3,a4))+~P5(a7,f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[266,29])).
% 205.65/205.67 cnf(268,plain,
% 205.65/205.67 (E(a7,f6(a3,a4))+~P5(a7,f6(a3,a4))+~P5(a7,f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[267,30])).
% 205.65/205.67 cnf(325,plain,
% 205.65/205.67 (~E(x3251,a7)+P5(f8(a1,a4),x3251)),
% 205.65/205.67 inference(scs_inference,[],[48,2,20])).
% 205.65/205.67 cnf(391,plain,
% 205.65/205.67 (E(f6(a5,a4),a7)+~E(f8(a1,a4),f6(a5,a4))+~P5(f6(a3,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[2,245])).
% 205.65/205.67 cnf(1110,plain,
% 205.65/205.67 (P5(f8(a1,a4),f6(a5,a4))+P5(f6(a3,a4),a7)+P5(a7,f6(a3,a4))),
% 205.65/205.67 inference(scs_inference,[],[325,73])).
% 205.65/205.67 cnf(1113,plain,
% 205.65/205.67 (P5(f8(a1,a4),f6(a5,a4))+P5(f6(a3,a4),a7)+E(a7,f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[1110,254])).
% 205.65/205.67 cnf(1118,plain,
% 205.65/205.67 (P5(f6(a3,a4),a7)+P5(f8(a1,a4),f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[48,1113,20])).
% 205.65/205.67 cnf(1264,plain,
% 205.65/205.67 (P5(f8(a1,a4),f6(a5,a4))+~E(f8(a1,a4),f6(a5,a4))+~P5(f6(a3,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[325,391])).
% 205.65/205.67 cnf(1266,plain,
% 205.65/205.67 (P5(f8(a1,a4),f6(a5,a4))+~E(f8(a1,a4),f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[1264,1118])).
% 205.65/205.67 cnf(1268,plain,
% 205.65/205.67 (P5(x12681,f6(a5,a4))+~E(f8(a1,a4),x12681)+~E(f8(a1,a4),f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[1266,19])).
% 205.65/205.67 cnf(7128,plain,
% 205.65/205.67 (~E(x71281,a7)+~E(f6(a5,a4),x71281)+~E(f6(a3,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[27,3])).
% 205.65/205.67 cnf(7207,plain,
% 205.65/205.67 (P5(a7,f6(a5,a4))+P5(a7,f6(a3,a4))+~E(f6(a5,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[27,77])).
% 205.65/205.67 cnf(7874,plain,
% 205.65/205.67 (~E(f6(a3,a4),a7)+P5(f6(a5,a4),a7)+P5(f6(a3,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[24,57,26,27,43])).
% 205.65/205.67 cnf(7890,plain,
% 205.65/205.67 (E(f6(a5,a4),a7)+P5(f6(a5,a4),a7)+~E(f6(a3,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[7874,145])).
% 205.65/205.67 cnf(7906,plain,
% 205.65/205.67 (P5(f6(a3,a4),a7)+E(f6(a5,a4),a7)+~E(f6(a3,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[7890,144])).
% 205.65/205.67 cnf(7922,plain,
% 205.65/205.67 (P5(f6(a3,a4),a7)+~E(f6(a3,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[7906,7128])).
% 205.65/205.67 cnf(7938,plain,
% 205.65/205.67 (~E(f6(a3,a4),a7)+~P5(a7,f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[7922,29])).
% 205.65/205.67 cnf(7954,plain,
% 205.65/205.67 (~E(a7,f6(a3,a4))+~P5(a7,f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[7938,2])).
% 205.65/205.67 cnf(7970,plain,
% 205.65/205.67 (~E(x79701,f6(a3,a4))+~E(a7,x79701)+~P5(a7,f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[7954,3])).
% 205.65/205.67 cnf(7986,plain,
% 205.65/205.67 (P5(a7,f6(a3,a4))+~P5(a7,f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[7970,260])).
% 205.65/205.67 cnf(8336,plain,
% 205.65/205.67 (P5(f6(a5,a4),a7)+~E(f6(a3,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[27,7890])).
% 205.65/205.67 cnf(8352,plain,
% 205.65/205.67 (~E(f6(a3,a4),a7)+~P5(a7,f6(a3,a4))),
% 205.65/205.67 inference(scs_inference,[],[8336,30])).
% 205.65/205.67 cnf(8368,plain,
% 205.65/205.67 (~E(a7,f6(a3,a4))+~P5(a7,f6(a3,a4))),
% 205.65/205.67 inference(scs_inference,[],[8352,2])).
% 205.65/205.67 cnf(8384,plain,
% 205.65/205.67 (~E(x83841,f6(a3,a4))+~E(a7,x83841)+~P5(a7,f6(a3,a4))),
% 205.65/205.67 inference(scs_inference,[],[8368,3])).
% 205.65/205.67 cnf(8400,plain,
% 205.65/205.67 (~P5(a7,f6(a3,a4))+~P5(a7,f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[8384,268])).
% 205.65/205.67 cnf(8415,plain,
% 205.65/205.67 (~P5(a7,f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[8400,7986])).
% 205.65/205.67 cnf(8418,plain,
% 205.65/205.67 (E(f6(a5,a4),a7)+P5(a7,f6(a3,a4))),
% 205.65/205.67 inference(scs_inference,[],[8415,79])).
% 205.65/205.67 cnf(8422,plain,
% 205.65/205.67 (P5(f6(a5,a4),a7)+E(a7,f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[8415,227])).
% 205.65/205.67 cnf(8425,plain,
% 205.65/205.67 (E(a7,f6(a5,a4))+P5(a7,f6(a3,a4))),
% 205.65/205.67 inference(scs_inference,[],[8415,242])).
% 205.65/205.67 cnf(8488,plain,
% 205.65/205.67 (P5(a7,f6(a3,a4))+~E(f6(a5,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[8415,7207])).
% 205.65/205.67 cnf(8505,plain,
% 205.65/205.67 (~P5(a7,x85051)+~E(x85051,f6(a5,a4))),
% 205.65/205.67 inference(scs_inference,[],[8415,1268,20])).
% 205.65/205.67 cnf(9101,plain,
% 205.65/205.67 (P5(f6(a5,a4),a7)+~P5(a7,a7)),
% 205.65/205.67 inference(scs_inference,[],[8505,8422])).
% 205.65/205.67 cnf(9116,plain,
% 205.65/205.67 (P5(a7,f6(a3,a4))+~P5(a7,a7)),
% 205.65/205.67 inference(scs_inference,[],[8505,8425])).
% 205.65/205.67 cnf(9118,plain,
% 205.65/205.67 (~P5(a7,a7)+~P5(f6(a5,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[9116,30])).
% 205.65/205.67 cnf(9572,plain,
% 205.65/205.67 (~P5(a7,a7)),
% 205.65/205.67 inference(scs_inference,[],[9101,9118])).
% 205.65/205.67 cnf(9574,plain,
% 205.65/205.67 (~P5(a7,f6(a3,a4))+P5(f6(a5,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[9572,8415,57,26,24,20,41])).
% 205.65/205.67 cnf(9582,plain,
% 205.65/205.67 (~P5(a7,f6(a3,a4))),
% 205.65/205.67 inference(scs_inference,[],[9574,30])).
% 205.65/205.67 cnf(9616,plain,
% 205.65/205.67 (E(f6(a5,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[9582,8418])).
% 205.65/205.67 cnf(9640,plain,
% 205.65/205.67 (~E(f6(a5,a4),a7)),
% 205.65/205.67 inference(scs_inference,[],[9582,8488])).
% 205.65/205.67 cnf(9668,plain,
% 205.65/205.67 ($false),
% 205.65/205.67 inference(scs_inference,[],[9616,9640]),
% 205.65/205.67 ['proof']).
% 205.65/205.67 % SZS output end Proof
% 205.65/205.67 % Total time :205.020000s
%------------------------------------------------------------------------------