TSTP Solution File: MGT034+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MGT034+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n008.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 09:06:54 EDT 2023
% Result : Theorem 61.85s 61.95s
% Output : CNFRefutation 61.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT034+2 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n008.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 : Mon Aug 28 06:27:47 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.63 start to proof:theBenchmark
% 61.85/61.93 %-------------------------------------------
% 61.85/61.93 % File :CSE---1.6
% 61.85/61.93 % Problem :theBenchmark
% 61.85/61.93 % Transform :cnf
% 61.85/61.93 % Format :tptp:raw
% 61.85/61.93 % Command :java -jar mcs_scs.jar %d %s
% 61.85/61.93
% 61.85/61.93 % Result :Theorem 61.130000s
% 61.85/61.93 % Output :CNFRefutation 61.130000s
% 61.85/61.93 %-------------------------------------------
% 61.85/61.94 %--------------------------------------------------------------------------
% 61.85/61.94 % File : MGT034+2 : TPTP v8.1.2. Released v2.0.0.
% 61.85/61.94 % Domain : Management (Organisation Theory)
% 61.85/61.94 % Problem : Selection favors FMs above EPs until critical point reached
% 61.85/61.94 % Version : [PM93] axioms.
% 61.85/61.94 % English : Selection favors first movers above efficient producers past
% 61.85/61.94 % the appearance of efficient producers until the critical
% 61.85/61.94 % point is reached.
% 61.85/61.94
% 61.85/61.94 % Refs : [PM93] Peli & Masuch (1993), The Logic of Propogation Strateg
% 61.85/61.94 % : [PM94] Peli & Masuch (1994), The Logic of Propogation Strateg
% 61.85/61.94 % : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing
% 61.85/61.94 % Source : [PM93]
% 61.85/61.94 % Names : THEOREM 3 [PM93]
% 61.85/61.94 % : T3 [PB+94]
% 61.85/61.94
% 61.85/61.94 % Status : Theorem
% 61.85/61.94 % Rating : 0.22 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.17 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.17 v6.4.0, 0.23 v6.3.0, 0.17 v6.2.0, 0.20 v6.1.0, 0.30 v6.0.0, 0.09 v5.5.0, 0.33 v5.4.0, 0.32 v5.3.0, 0.41 v5.2.0, 0.25 v5.1.0, 0.19 v5.0.0, 0.17 v4.1.0, 0.22 v4.0.1, 0.17 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.26 v3.3.0, 0.29 v3.2.0, 0.18 v3.1.0, 0.33 v2.6.0, 0.29 v2.5.0, 0.25 v2.4.0, 0.25 v2.3.0, 0.33 v2.2.1, 0.00 v2.1.0
% 61.85/61.94 % Syntax : Number of formulae : 21 ( 0 unt; 0 def)
% 61.85/61.94 % Number of atoms : 80 ( 2 equ)
% 61.85/61.94 % Maximal formula atoms : 7 ( 3 avg)
% 61.85/61.94 % Number of connectives : 63 ( 4 ~; 1 |; 35 &)
% 61.85/61.94 % ( 3 <=>; 20 =>; 0 <=; 0 <~>)
% 61.85/61.94 % Maximal formula depth : 10 ( 6 avg)
% 61.85/61.94 % Maximal term depth : 3 ( 1 avg)
% 61.85/61.94 % Number of predicates : 8 ( 7 usr; 0 prp; 1-4 aty)
% 61.85/61.94 % Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% 61.85/61.94 % Number of variables : 43 ( 43 !; 0 ?)
% 61.85/61.94 % SPC : FOF_THM_RFO_SEQ
% 61.85/61.94
% 61.85/61.94 % Comments :
% 61.85/61.94 %--------------------------------------------------------------------------
% 61.85/61.94 %----Subsitution axioms
% 61.85/61.94 %----Problem axioms
% 61.85/61.94 %----MP1. Selection favors subpopulations with higher growth rates.
% 61.85/61.94 fof(mp1_high_growth_rates,axiom,
% 61.85/61.94 ! [E,S1,S2,T] :
% 61.85/61.94 ( ( environment(E)
% 61.85/61.94 & subpopulations(S1,S2,E,T)
% 61.85/61.94 & greater(growth_rate(S2,T),growth_rate(S1,T)) )
% 61.85/61.94 => selection_favors(S2,S1,T) ) ).
% 61.85/61.94
% 61.85/61.94 %----L3. The difference between the disbanding rates of first movers and
% 61.85/61.94 %----efficient producers does not decrease.
% 61.85/61.94 fof(l3,axiom,
% 61.85/61.94 ! [E,T] :
% 61.85/61.94 ( ( environment(E)
% 61.85/61.94 & subpopulations(first_movers,efficient_producers,E,T) )
% 61.85/61.94 => ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. If the environment contains a critical point, then FM and EP are
% 61.85/61.94 %----present at this time.
% 61.85/61.94 fof(mp_critical_point_means_FM_and_EP,axiom,
% 61.85/61.94 ! [E] :
% 61.85/61.94 ( ( environment(E)
% 61.85/61.94 & in_environment(E,critical_point(E)) )
% 61.85/61.94 => subpopulations(first_movers,efficient_producers,E,critical_point(E)) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. FM and EP are present when EP appear in the environment.
% 61.85/61.94 fof(mp_FM_and_EP_when_EP_appears,axiom,
% 61.85/61.94 ! [E] :
% 61.85/61.94 ( ( environment(E)
% 61.85/61.94 & in_environment(E,appear(efficient_producers,E)) )
% 61.85/61.94 => subpopulations(first_movers,efficient_producers,E,appear(efficient_producers,E)) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. If the difference between the founding rates of FM and EP
% 61.85/61.94 %----decreases and the difference between their disbanding rates does
% 61.85/61.94 %----not decrease, then the difference between the growth rates decreases.
% 61.85/61.94 fof(mp_difference_between_founding_rates,axiom,
% 61.85/61.94 ! [T] :
% 61.85/61.94 ( ( decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T)))
% 61.85/61.94 & ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) )
% 61.85/61.94 => decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. If function "f" is decreasing until to, and it is not negative at
% 61.85/61.94 %----"to, then its value is positive before "to".
% 61.85/61.94 %----INSTANTIATION: f(x) = (growth_rate(first_movers,x) -
% 61.85/61.94 %----growth_rate(efficient_producers,x)
% 61.85/61.94 fof(mp_decreasing_function,axiom,
% 61.85/61.94 ! [E,T,To] :
% 61.85/61.94 ( ( environment(E)
% 61.85/61.94 & in_environment(E,To)
% 61.85/61.94 & greater_or_equal(difference(growth_rate(first_movers,To),growth_rate(efficient_producers,To)),zero)
% 61.85/61.94 & greater_or_equal(T,appear(efficient_producers,E))
% 61.85/61.94 & greater(To,T) )
% 61.85/61.94 => ( decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
% 61.85/61.94 => greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. The difference between the growth rates of first movers and
% 61.85/61.94 %----efficient producers is negative, if and only if, the growth rate of
% 61.85/61.94 %----efficient producers is higher.
% 61.85/61.94 fof(mp_negative_growth_rate_difference,axiom,
% 61.85/61.94 ! [T] :
% 61.85/61.94 ( greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
% 61.85/61.94 <=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. The difference between the growth rates of first movers and
% 61.85/61.94 %----efficient producers is positive, if and only if, the growth rate of
% 61.85/61.94 %----first movers is higher.
% 61.85/61.94 fof(mp_positive_growth_rate_difference,axiom,
% 61.85/61.94 ! [T] :
% 61.85/61.94 ( greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero)
% 61.85/61.94 <=> greater(growth_rate(first_movers,T),growth_rate(efficient_producers,T)) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. The durations of environments are time-intervals.
% 61.85/61.94 fof(mp_durations_are_time_intervals,axiom,
% 61.85/61.94 ! [E,T1,T2,T] :
% 61.85/61.94 ( ( environment(E)
% 61.85/61.94 & in_environment(E,T1)
% 61.85/61.94 & in_environment(E,T2)
% 61.85/61.94 & greater_or_equal(T2,T)
% 61.85/61.94 & greater_or_equal(T,T1) )
% 61.85/61.94 => in_environment(E,T) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. The opening time of the environment belongs to the environment's
% 61.85/61.94 %----duration.
% 61.85/61.94 fof(mp_opening_time_in_duration,axiom,
% 61.85/61.94 ! [E] :
% 61.85/61.94 ( environment(E)
% 61.85/61.94 => in_environment(E,start_time(E)) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. FM cannot appear in an environment before it opens.
% 61.85/61.94 fof(mp_no_FM_before_opening,axiom,
% 61.85/61.94 ! [E] :
% 61.85/61.94 ( environment(E)
% 61.85/61.94 => greater_or_equal(appear(first_movers,E),start_time(E)) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. If the critical point occurs in the environment, then all the
% 61.85/61.94 %----time-points between the appearence of efficient producers and the
% 61.85/61.94 %----critical point occur in the environnment.
% 61.85/61.94 fof(mp_critical_time_points,axiom,
% 61.85/61.94 ! [E,T] :
% 61.85/61.94 ( ( environment(E)
% 61.85/61.94 & in_environment(E,critical_point(E))
% 61.85/61.94 & greater_or_equal(T,appear(efficient_producers,E))
% 61.85/61.94 & greater(critical_point(E),T) )
% 61.85/61.94 => in_environment(E,T) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. If the number of both first movers and efficient producers is
% 61.85/61.94 %----positive in an environment, then the population in this environment
% 61.85/61.94 %----contains a first mover and an efficient producer subpopulation.
% 61.85/61.94 fof(mp_contains_FM_and_EP,axiom,
% 61.85/61.94 ! [E,T] :
% 61.85/61.94 ( ( environment(E)
% 61.85/61.94 & in_environment(E,T)
% 61.85/61.94 & greater(cardinality_at_time(first_movers,T),zero)
% 61.85/61.94 & greater(cardinality_at_time(efficient_producers,T),zero) )
% 61.85/61.94 => subpopulations(first_movers,efficient_producers,E,T) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. The "subpopulation" predicate is symmetric: if FM and EP are
% 61.85/61.94 %----non-empty subpopulations in E, then EP and FM are also non-empty
% 61.85/61.94 %----subpopulations in E.
% 61.85/61.94 fof(mp_symmetry_of_subpopulations,axiom,
% 61.85/61.94 ! [E,T] :
% 61.85/61.94 ( ( environment(E)
% 61.85/61.94 & subpopulations(first_movers,efficient_producers,E,T) )
% 61.85/61.94 => subpopulations(efficient_producers,first_movers,E,T) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. If FM and EP have members in an environment at a certain point of
% 61.85/61.94 %----time, then EP's appearence time is already passed.
% 61.85/61.94 fof(mp_FM_and_EP_members_EP_appeared,axiom,
% 61.85/61.94 ! [E,T] :
% 61.85/61.94 ( ( environment(E)
% 61.85/61.94 & subpopulations(first_movers,efficient_producers,E,T) )
% 61.85/61.94 => greater_or_equal(T,appear(efficient_producers,E)) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. on "greater or equal to"
% 61.85/61.94 fof(mp_greater_or_equal,axiom,
% 61.85/61.94 ! [X,Y] :
% 61.85/61.94 ( greater_or_equal(X,Y)
% 61.85/61.94 <=> ( greater(X,Y)
% 61.85/61.94 | X = Y ) ) ).
% 61.85/61.94
% 61.85/61.94 %----MP. on growth rates
% 61.85/61.94 fof(mp_relationship_of_growth_rates,axiom,
% 61.85/61.94 ! [E,T] :
% 61.85/61.94 ( ( environment(E)
% 61.85/61.94 & subpopulations(first_movers,efficient_producers,E,T)
% 61.85/61.94 & ~ greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) )
% 61.85/61.95 => greater_or_equal(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ) ).
% 61.85/61.95
% 61.85/61.95 %----D1(<=). If a time-point is the critical point of the environment, then
% 61.85/61.95 %----it is the earliest time past which the growth rate of efficient
% 61.85/61.95 %----producers permanently exceeds growth rate of first movers.
% 61.85/61.95 fof(d1,hypothesis,
% 61.85/61.95 ! [E,Tc] :
% 61.85/61.95 ( ( environment(E)
% 61.85/61.95 & Tc = critical_point(E) )
% 61.85/61.95 => ( ~ greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc))
% 61.85/61.95 & ! [T] :
% 61.85/61.95 ( ( subpopulations(first_movers,efficient_producers,E,T)
% 61.85/61.95 & greater(T,Tc) )
% 61.85/61.95 => greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) ) ) ).
% 61.85/61.95
% 61.85/61.95 %----A10. If FM and EP are present in the environment at time-points t1
% 61.85/61.95 %----and t2, then they are present during the time-interval between
% 61.85/61.95 %----t1 and t2.
% 61.85/61.95 fof(a10,hypothesis,
% 61.85/61.95 ! [E,T1,T2,T] :
% 61.85/61.95 ( ( environment(E)
% 61.85/61.95 & subpopulations(first_movers,efficient_producers,E,T1)
% 61.85/61.95 & subpopulations(first_movers,efficient_producers,E,T2)
% 61.85/61.95 & greater_or_equal(T,T1)
% 61.85/61.95 & greater_or_equal(T2,T) )
% 61.85/61.95 => subpopulations(first_movers,efficient_producers,E,T) ) ).
% 61.85/61.95
% 61.85/61.95 %----A12. The difference between the founding rates of first movers and
% 61.85/61.95 %----efficient producers decreases with time.
% 61.85/61.95 fof(a12,hypothesis,
% 61.85/61.95 ! [E,T] :
% 61.85/61.95 ( ( environment(E)
% 61.85/61.95 & subpopulations(first_movers,efficient_producers,E,T) )
% 61.85/61.95 => decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T))) ) ).
% 61.85/61.95
% 61.85/61.95 %----GOAL: T3. Selection favors first movers above efficient producers
% 61.85/61.95 %----between the appearence of efficient producers and the critical point.
% 61.85/61.95 fof(prove_t3,conjecture,
% 61.85/61.95 ! [E,T] :
% 61.85/61.95 ( ( environment(E)
% 61.85/61.95 & in_environment(E,critical_point(E))
% 61.85/61.95 & greater_or_equal(T,appear(efficient_producers,E))
% 61.85/61.95 & greater(critical_point(E),T) )
% 61.85/61.95 => selection_favors(first_movers,efficient_producers,T) ) ).
% 61.85/61.95
% 61.85/61.95 %--------------------------------------------------------------------------
% 61.85/61.95 %-------------------------------------------
% 61.85/61.95 % Proof found
% 61.85/61.95 % SZS status Theorem for theBenchmark
% 61.85/61.95 % SZS output start Proof
% 61.85/61.95 %ClaNum:62(EqnAxiom:32)
% 61.85/61.95 %VarNum:156(SingletonVarNum:49)
% 61.85/61.95 %MaxLitNum:7
% 61.85/61.95 %MaxfuncDepth:2
% 61.85/61.95 %SharedTerms:12
% 61.85/61.95 %goalClause: 33 34 35 36 37
% 61.85/61.95 %singleGoalClaCount:5
% 61.85/61.95 [33]P1(a1)
% 61.85/61.95 [37]~P6(a9,a5,a8)
% 61.85/61.95 [34]P3(a1,f2(a1))
% 61.85/61.95 [35]P4(f2(a1),a8)
% 61.85/61.95 [36]P5(a8,f3(a5,a1))
% 61.85/61.95 [39]~P1(x391)+P3(x391,f10(x391))
% 61.85/61.95 [42]~P1(x421)+P5(f3(a9,x421),f10(x421))
% 61.85/61.95 [46]~P4(f11(a5,x461),f11(a9,x461))+P4(a13,f6(f11(a9,x461),f11(a5,x461)))
% 61.85/61.95 [47]~P4(f11(a9,x471),f11(a5,x471))+P4(f6(f11(a9,x471),f11(a5,x471)),a13)
% 61.85/61.95 [48]P4(f11(a5,x481),f11(a9,x481))+~P4(a13,f6(f11(a9,x481),f11(a5,x481)))
% 61.85/61.95 [49]P4(f11(a9,x491),f11(a5,x491))+~P4(f6(f11(a9,x491),f11(a5,x491)),a13)
% 61.85/61.95 [38]~E(x381,x382)+P5(x381,x382)
% 61.85/61.95 [40]~P4(x401,x402)+P5(x401,x402)
% 61.85/61.95 [50]~P1(x501)+~P3(x501,f2(x501))+P7(a9,a5,x501,f2(x501))
% 61.85/61.95 [51]~P1(x511)+~P3(x511,f3(a5,x511))+P7(a9,a5,x511,f3(a5,x511))
% 61.85/61.95 [54]P2(f6(f7(a9,x541),f7(a5,x541)))+~P2(f6(f12(a9,x541),f12(a5,x541)))+P2(f6(f11(a9,x541),f11(a5,x541)))
% 61.85/61.95 [41]P4(x411,x412)+~P5(x411,x412)+E(x411,x412)
% 61.85/61.95 [59]~P1(x591)+~P7(a9,a5,x591,x592)+P7(a5,a9,x591,x592)
% 61.85/61.95 [43]~P1(x432)+~E(x431,f2(x432))+~P4(f11(a5,x431),f11(a9,x431))
% 61.85/61.95 [53]~P1(x532)+~P7(a9,a5,x532,x531)+P5(x531,f3(a5,x532))
% 61.85/61.95 [56]~P1(x562)+~P7(a9,a5,x562,x561)+P2(f6(f12(a9,x561),f12(a5,x561)))
% 61.85/61.95 [58]~P1(x581)+~P7(a9,a5,x581,x582)+~P2(f6(f7(a9,x582),f7(a5,x582)))
% 61.85/61.95 [61]~P1(x612)+~P7(a9,a5,x612,x611)+P5(f6(f11(a9,x611),f11(a5,x611)),a13)+P4(a13,f6(f11(a9,x611),f11(a5,x611)))
% 61.85/61.95 [57]~P7(x572,x571,x574,x573)+P6(x571,x572,x573)+~P1(x574)+~P4(f11(x571,x573),f11(x572,x573))
% 61.85/61.95 [45]~P1(x451)+P3(x451,x452)+~P3(x451,f2(x451))+~P4(f2(x451),x452)+~P5(x452,f3(a5,x451))
% 61.85/61.95 [52]~P1(x521)+~P3(x521,x522)+P7(a9,a5,x521,x522)+~P4(f4(a9,x522),a13)+~P4(f4(a5,x522),a13)
% 61.85/61.95 [55]~P1(x553)+~P4(x551,x552)+~P7(a9,a5,x553,x551)+~E(x552,f2(x553))+P4(f11(a5,x551),f11(a9,x551))
% 61.85/61.95 [44]~P1(x441)+~P5(x442,x444)+~P5(x443,x442)+P3(x441,x442)+~P3(x441,x443)+~P3(x441,x444)
% 61.85/61.95 [62]~P1(x621)+~P5(x622,x623)+~P5(x624,x622)+~P7(a9,a5,x621,x624)+~P7(a9,a5,x621,x623)+P7(a9,a5,x621,x622)
% 61.85/61.95 [60]~P3(x602,x603)+~P4(x603,x601)+~P1(x602)+~P5(x601,f3(a5,x602))+~P5(f6(f11(a9,x603),f11(a5,x603)),a13)+P4(f6(f11(a9,x601),f11(a5,x601)),a13)+~P2(f6(f11(a9,x601),f11(a5,x601)))
% 61.85/61.95 %EqnAxiom
% 61.85/61.95 [1]E(x11,x11)
% 61.85/61.95 [2]E(x22,x21)+~E(x21,x22)
% 61.85/61.95 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 61.85/61.95 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 61.85/61.95 [5]~E(x51,x52)+E(f6(x51,x53),f6(x52,x53))
% 61.85/61.95 [6]~E(x61,x62)+E(f6(x63,x61),f6(x63,x62))
% 61.85/61.95 [7]~E(x71,x72)+E(f3(x71,x73),f3(x72,x73))
% 61.85/61.95 [8]~E(x81,x82)+E(f3(x83,x81),f3(x83,x82))
% 61.85/61.95 [9]~E(x91,x92)+E(f10(x91),f10(x92))
% 61.85/61.95 [10]~E(x101,x102)+E(f11(x101,x103),f11(x102,x103))
% 61.85/61.95 [11]~E(x111,x112)+E(f11(x113,x111),f11(x113,x112))
% 61.85/61.95 [12]~E(x121,x122)+E(f7(x121,x123),f7(x122,x123))
% 61.85/61.95 [13]~E(x131,x132)+E(f7(x133,x131),f7(x133,x132))
% 61.85/61.95 [14]~E(x141,x142)+E(f12(x141,x143),f12(x142,x143))
% 61.85/61.95 [15]~E(x151,x152)+E(f12(x153,x151),f12(x153,x152))
% 61.85/61.95 [16]~E(x161,x162)+E(f4(x161,x163),f4(x162,x163))
% 61.85/61.95 [17]~E(x171,x172)+E(f4(x173,x171),f4(x173,x172))
% 61.85/61.95 [18]~P1(x181)+P1(x182)+~E(x181,x182)
% 61.85/61.95 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193)
% 61.85/61.95 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201)
% 61.85/61.95 [21]P4(x212,x213)+~E(x211,x212)+~P4(x211,x213)
% 61.85/61.95 [22]P4(x223,x222)+~E(x221,x222)+~P4(x223,x221)
% 61.85/61.95 [23]P5(x232,x233)+~E(x231,x232)+~P5(x231,x233)
% 61.85/61.95 [24]P5(x243,x242)+~E(x241,x242)+~P5(x243,x241)
% 61.85/61.95 [25]P6(x252,x253,x254)+~E(x251,x252)+~P6(x251,x253,x254)
% 61.85/61.95 [26]P6(x263,x262,x264)+~E(x261,x262)+~P6(x263,x261,x264)
% 61.85/61.95 [27]P6(x273,x274,x272)+~E(x271,x272)+~P6(x273,x274,x271)
% 61.85/61.95 [28]P7(x282,x283,x284,x285)+~E(x281,x282)+~P7(x281,x283,x284,x285)
% 61.85/61.95 [29]P7(x293,x292,x294,x295)+~E(x291,x292)+~P7(x293,x291,x294,x295)
% 61.85/61.95 [30]P7(x303,x304,x302,x305)+~E(x301,x302)+~P7(x303,x304,x301,x305)
% 61.85/61.95 [31]P7(x313,x314,x315,x312)+~E(x311,x312)+~P7(x313,x314,x315,x311)
% 61.85/61.95 [32]~P2(x321)+P2(x322)+~E(x321,x322)
% 61.85/61.95
% 61.85/61.95 %-------------------------------------------
% 61.85/61.95 cnf(63,plain,
% 61.85/61.95 (P3(a1,a8)),
% 61.85/61.95 inference(scs_inference,[],[33,34,35,36,45])).
% 61.85/61.95 cnf(64,plain,
% 61.85/61.95 (P5(f2(a1),a8)),
% 61.85/61.95 inference(scs_inference,[],[33,34,35,36,45,40])).
% 61.85/61.95 cnf(70,plain,
% 61.85/61.95 (P7(a9,a5,a1,f2(a1))),
% 61.85/61.95 inference(scs_inference,[],[33,37,34,35,36,45,40,39,42,27,50])).
% 61.85/61.95 cnf(74,plain,
% 61.85/61.95 (P5(f2(a1),f3(a5,a1))),
% 61.85/61.95 inference(scs_inference,[],[33,37,34,35,36,45,40,39,42,27,50,59,53])).
% 61.85/61.95 cnf(76,plain,
% 61.85/61.95 (~E(x761,f2(a1))+~P4(f11(a5,x761),f11(a9,x761))),
% 61.85/61.95 inference(scs_inference,[],[33,37,34,35,36,45,40,39,42,27,50,59,53,43])).
% 61.85/61.95 cnf(78,plain,
% 61.85/61.95 (~P3(a1,f3(a5,a1))+P7(a9,a5,a1,f3(a5,a1))),
% 61.85/61.95 inference(scs_inference,[],[33,37,34,35,36,45,40,39,42,27,50,59,53,43,51])).
% 61.85/61.95 cnf(82,plain,
% 61.85/61.95 (P3(a1,f3(a5,a1))+~P5(f3(a5,a1),f2(a1))),
% 61.85/61.95 inference(scs_inference,[],[33,37,34,35,36,45,40,39,42,27,50,59,53,43,51,57,44])).
% 61.85/61.95 cnf(85,plain,
% 61.85/61.95 (~P4(f11(a5,f2(a1)),f11(a9,f2(a1)))),
% 61.85/61.95 inference(equality_inference,[],[76])).
% 61.85/61.95 cnf(86,plain,
% 61.85/61.95 (~E(a8,f2(a1))),
% 61.85/61.95 inference(scs_inference,[],[33,35,85,70,55])).
% 61.85/61.95 cnf(89,plain,
% 61.85/61.95 (~E(f2(a1),a8)),
% 61.85/61.95 inference(scs_inference,[],[33,37,35,85,70,55,26,2])).
% 61.85/61.95 cnf(96,plain,
% 61.85/61.95 (~P7(a5,a9,a1,a8)+~P4(f11(a9,a8),f11(a5,a8))),
% 61.85/61.95 inference(scs_inference,[],[33,37,35,36,85,70,63,55,26,2,41,62,60,57])).
% 61.85/61.95 cnf(104,plain,
% 61.85/61.95 (~P7(a9,a5,a1,f3(a5,a1))+P7(a9,a5,a1,a8)),
% 61.85/61.95 inference(scs_inference,[],[63,37,36,86,64,70,33,25,52,41,62])).
% 61.85/61.95 cnf(114,plain,
% 61.85/61.95 (~E(a1,x1141)+P1(x1141)),
% 61.85/61.95 inference(scs_inference,[],[33,18])).
% 61.85/61.95 cnf(132,plain,
% 61.85/61.95 (~E(x1321,a8)+~P5(a8,f2(a1))+P7(a9,a5,a1,a8)),
% 61.85/61.95 inference(scs_inference,[],[35,64,89,70,33,3,2,22,21,62])).
% 61.85/61.95 cnf(134,plain,
% 61.85/61.95 (P7(a9,a5,a1,a8)+~P5(a8,f2(a1))),
% 61.85/61.95 inference(equality_inference,[],[132])).
% 61.85/61.95 cnf(175,plain,
% 61.85/61.95 (P4(a8,f3(a5,a1))+P4(f2(a1),f3(a5,a1))),
% 61.85/61.95 inference(scs_inference,[],[36,35,22,41])).
% 61.85/61.95 cnf(199,plain,
% 61.85/61.95 (E(f2(a1),f3(a5,a1))+P4(f2(a1),f3(a5,a1))),
% 61.85/61.95 inference(scs_inference,[],[74,41])).
% 61.85/61.95 cnf(201,plain,
% 61.85/61.95 (~P4(x2011,f2(a1))+P4(x2011,f3(a5,a1))+P4(f2(a1),f3(a5,a1))),
% 61.85/61.95 inference(scs_inference,[],[74,41,22])).
% 61.85/61.95 cnf(205,plain,
% 61.85/61.95 (~E(f3(a5,a1),f2(a1))+P3(a1,f3(a5,a1))),
% 61.85/61.95 inference(scs_inference,[],[38,82])).
% 61.85/61.95 cnf(210,plain,
% 61.85/61.95 (P3(a1,f3(a5,a1))+~P5(f3(a5,a1),a8)),
% 61.85/61.95 inference(scs_inference,[],[63,36,33,44])).
% 61.85/61.95 cnf(223,plain,
% 61.85/61.95 (~P5(a8,f2(a1))+P2(f6(f12(a9,a8),f12(a5,a8)))),
% 61.85/61.95 inference(scs_inference,[],[33,134,56])).
% 61.85/61.95 cnf(224,plain,
% 61.85/61.95 (~E(x2241,x2242)+E(f6(x2243,x2242),f6(x2243,x2241))),
% 61.85/61.95 inference(scs_inference,[],[6,2])).
% 61.85/61.95 cnf(243,plain,
% 61.85/61.95 (P7(a9,a5,a1,f3(a5,a1))+~P5(f3(a5,a1),a8)),
% 61.85/61.95 inference(scs_inference,[],[210,78])).
% 61.85/61.95 cnf(250,plain,
% 61.85/61.95 (P4(a8,f3(a5,a1))+~E(f3(a5,a1),f2(a1))),
% 61.85/61.95 inference(scs_inference,[],[33,85,70,175,55])).
% 61.85/61.95 cnf(251,plain,
% 61.85/61.95 (P7(a9,a5,a1,f3(a5,a1))+~E(f3(a5,a1),f2(a1))),
% 61.85/61.95 inference(scs_inference,[],[205,78])).
% 61.85/61.95 cnf(257,plain,
% 61.85/61.95 (P4(a8,x2571)+~E(f3(a5,a1),x2571)+~E(f3(a5,a1),f2(a1))),
% 61.85/61.95 inference(scs_inference,[],[250,22])).
% 61.85/61.95 cnf(260,plain,
% 61.85/61.95 (~P4(f11(a9,a8),f11(a5,a8))+~P7(a9,a5,a1,a8)),
% 61.85/61.95 inference(scs_inference,[],[33,96,59])).
% 61.85/61.95 cnf(261,plain,
% 61.85/61.95 (~P7(a9,a5,a1,f3(a5,a1))+~P4(f11(a9,a8),f11(a5,a8))),
% 61.85/61.95 inference(scs_inference,[],[104,260])).
% 61.85/61.95 cnf(271,plain,
% 61.85/61.95 (~P4(a8,f2(a1))+P2(f6(f12(a9,a8),f12(a5,a8)))),
% 61.85/61.95 inference(scs_inference,[],[223,40])).
% 61.85/61.95 cnf(272,plain,
% 61.85/61.95 (~P4(f11(a9,a8),f11(a5,a8))+~P5(f3(a5,a1),a8)),
% 61.85/61.95 inference(scs_inference,[],[243,261])).
% 61.85/61.95 cnf(277,plain,
% 61.85/61.95 (~E(f3(a5,a1),f2(a1))+P2(f6(f12(a9,a8),f12(a5,a8)))),
% 61.85/61.95 inference(scs_inference,[],[271,257])).
% 61.85/61.95 cnf(278,plain,
% 61.85/61.95 (~P5(f3(a5,a1),a8)+~P4(f6(f11(a9,a8),f11(a5,a8)),a13)),
% 61.85/61.95 inference(scs_inference,[],[272,49])).
% 61.85/61.95 cnf(293,plain,
% 61.85/61.95 (P5(x2931,a8)+~E(f2(a1),x2931)),
% 61.85/61.95 inference(scs_inference,[],[64,23])).
% 61.85/61.95 cnf(301,plain,
% 61.85/61.95 (~E(f2(a1),f3(a5,a1))+P2(f6(f12(a9,a8),f12(a5,a8)))),
% 61.85/61.95 inference(scs_inference,[],[277,2])).
% 61.85/61.95 cnf(304,plain,
% 61.85/61.95 (~P4(f6(f11(a9,a8),f11(a5,a8)),a13)+~E(f2(a1),f3(a5,a1))),
% 61.85/61.95 inference(scs_inference,[],[278,293])).
% 61.85/61.95 cnf(306,plain,
% 61.85/61.95 (P4(f2(a1),f3(a5,a1))+P2(f6(f12(a9,a8),f12(a5,a8)))),
% 61.85/61.95 inference(scs_inference,[],[301,199])).
% 61.85/61.95 cnf(315,plain,
% 61.85/61.95 (P4(f2(a1),f3(a5,a1))+~P4(f6(f11(a9,a8),f11(a5,a8)),a13)),
% 61.85/61.95 inference(scs_inference,[],[304,199])).
% 61.85/61.95 cnf(322,plain,
% 61.85/61.95 (~E(x3221,x3222)+~P2(x3222)+P2(x3221)),
% 61.85/61.95 inference(scs_inference,[],[32,2])).
% 61.85/61.95 cnf(331,plain,
% 61.85/61.95 (~P7(a9,a5,a1,f2(a1))+~P2(f6(f7(a9,f2(a1)),f7(a5,f2(a1))))),
% 61.85/61.95 inference(scs_inference,[],[70,58,114])).
% 61.85/61.95 cnf(332,plain,
% 61.85/61.95 (~P2(f6(f7(a9,f2(a1)),f7(a5,f2(a1))))),
% 61.85/61.95 inference(scs_inference,[],[70,331])).
% 61.85/61.95 cnf(334,plain,
% 61.85/61.95 (~P4(f2(a1),f2(a1))+~E(f3(a5,a1),f2(a1))),
% 61.85/61.95 inference(scs_inference,[],[70,33,85,201,55])).
% 61.85/61.95 cnf(335,plain,
% 61.85/61.95 (~E(f2(a1),f3(a5,a1))+~P4(f2(a1),f2(a1))),
% 61.85/61.95 inference(scs_inference,[],[334,2])).
% 61.85/61.95 cnf(336,plain,
% 61.85/61.95 (P4(f2(a1),f3(a5,a1))+~P4(f2(a1),f2(a1))),
% 61.85/61.95 inference(scs_inference,[],[335,199])).
% 61.85/61.95 cnf(378,plain,
% 61.85/61.95 (~E(f6(f11(a9,x3781),f11(a5,x3781)),x3782)+P2(x3782)+~P2(f6(f12(a9,x3781),f12(a5,x3781)))+P2(f6(f7(a9,x3781),f7(a5,x3781)))),
% 61.85/61.95 inference(scs_inference,[],[54,32])).
% 61.85/61.95 cnf(386,plain,
% 61.85/61.95 (P2(f6(f12(a9,f2(a1)),f12(a5,f2(a1))))),
% 61.85/61.95 inference(scs_inference,[],[70,114,56])).
% 61.85/61.95 cnf(394,plain,
% 61.85/61.95 (~P5(f6(f11(a9,f2(a1)),f11(a5,f2(a1))),a13)+P4(f6(f11(a9,a8),f11(a5,a8)),a13)+~P2(f6(f11(a9,a8),f11(a5,a8)))),
% 61.85/61.95 inference(scs_inference,[],[35,36,34,114,60])).
% 61.85/61.96 cnf(428,plain,
% 61.85/61.96 (E(f3(x4281,x4282),f3(x4281,x4283))+~E(x4283,x4282)),
% 61.85/61.96 inference(scs_inference,[],[2,8])).
% 61.85/61.96 cnf(436,plain,
% 61.85/61.96 (E(f11(x4361,x4362),f11(x4363,x4362))+~E(x4363,x4361)),
% 61.85/61.96 inference(scs_inference,[],[2,10])).
% 61.85/61.96 cnf(440,plain,
% 61.85/61.96 (E(f7(x4401,x4402),f7(x4403,x4402))+~E(x4403,x4401)),
% 61.85/61.96 inference(scs_inference,[],[2,12])).
% 61.85/61.96 cnf(444,plain,
% 61.85/61.96 (E(f12(x4441,x4442),f12(x4443,x4442))+~E(x4443,x4441)),
% 61.85/61.96 inference(scs_inference,[],[2,14])).
% 61.85/61.96 cnf(448,plain,
% 61.85/61.96 (E(f4(x4481,x4482),f4(x4483,x4482))+~E(x4483,x4481)),
% 61.85/61.96 inference(scs_inference,[],[2,16])).
% 61.85/61.96 cnf(454,plain,
% 61.85/61.96 (E(f3(a5,a1),f2(a1))+P4(f2(a1),f3(a5,a1))),
% 61.85/61.96 inference(scs_inference,[],[2,199])).
% 61.85/61.96 cnf(479,plain,
% 61.85/61.96 (P5(x4791,x4792)+~E(x4792,x4791)),
% 61.85/61.96 inference(scs_inference,[],[38,2])).
% 61.85/61.96 cnf(480,plain,
% 61.85/61.96 (P5(x4801,x4801)),
% 61.85/61.96 inference(equality_inference,[],[479])).
% 61.85/61.96 cnf(500,plain,
% 61.85/61.96 (P3(a1,f3(a5,a1))),
% 61.85/61.96 inference(scs_inference,[],[480,33,34,45,454,448,444,440,436,428,336,315,306,251,224,205])).
% 61.85/61.96 cnf(501,plain,
% 61.85/61.96 (P7(a9,a5,a1,f3(a5,a1))),
% 61.85/61.96 inference(scs_inference,[],[500,78])).
% 61.85/61.96 cnf(502,plain,
% 61.85/61.96 (P7(a9,a5,a1,a8)),
% 61.85/61.96 inference(scs_inference,[],[501,104])).
% 61.85/61.96 cnf(503,plain,
% 61.85/61.96 (~P4(f11(a9,a8),f11(a5,a8))),
% 61.85/61.96 inference(scs_inference,[],[501,261])).
% 61.85/61.96 cnf(514,plain,
% 61.85/61.96 (~P4(f6(f11(a9,a8),f11(a5,a8)),a13)),
% 61.85/61.96 inference(scs_inference,[],[503,49])).
% 61.85/61.96 cnf(516,plain,
% 61.85/61.96 (~P2(f6(f7(a9,a8),f7(a5,a8)))),
% 61.85/61.96 inference(scs_inference,[],[502,503,33,49,58])).
% 61.85/61.96 cnf(518,plain,
% 61.85/61.96 (P2(f6(f12(a9,a8),f12(a5,a8)))),
% 61.85/61.96 inference(scs_inference,[],[502,503,33,49,58,56])).
% 61.85/61.96 cnf(542,plain,
% 61.85/61.96 (~P5(f6(f11(a9,f2(a1)),f11(a5,f2(a1))),a13)+~P2(f6(f11(a9,a8),f11(a5,a8)))),
% 61.85/61.96 inference(scs_inference,[],[514,394])).
% 61.85/61.96 cnf(548,plain,
% 61.85/61.96 (P2(f6(f11(a9,a8),f11(a5,a8)))),
% 61.85/61.96 inference(scs_inference,[],[516,518,32,322,378,54])).
% 61.85/61.96 cnf(558,plain,
% 61.85/61.96 (~P5(f6(f11(a9,f2(a1)),f11(a5,f2(a1))),a13)),
% 61.85/61.96 inference(scs_inference,[],[548,542])).
% 61.85/61.96 cnf(1048,plain,
% 61.85/61.96 (P5(f6(f11(a9,x10481),f11(a5,x10481)),a13)+~P4(f11(a9,x10481),f11(a5,x10481))),
% 61.85/61.96 inference(scs_inference,[],[40,47])).
% 61.85/61.96 cnf(1764,plain,
% 61.85/61.96 ($false),
% 61.85/61.96 inference(scs_inference,[],[33,70,85,518,558,332,386,1048,54,32,378,61,2,48]),
% 61.85/61.96 ['proof']).
% 61.85/61.96 % SZS output end Proof
% 61.85/61.96 % Total time :61.130000s
%------------------------------------------------------------------------------