TSTP Solution File: MGT062+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MGT062+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n015.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 09:07:08 EDT 2023
% Result : Theorem 0.83s 0.91s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT062+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 06:35:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.52 start to proof:theBenchmark
% 0.83/0.90 %-------------------------------------------
% 0.83/0.90 % File :CSE---1.6
% 0.83/0.90 % Problem :theBenchmark
% 0.83/0.90 % Transform :cnf
% 0.83/0.90 % Format :tptp:raw
% 0.83/0.90 % Command :java -jar mcs_scs.jar %d %s
% 0.83/0.90
% 0.83/0.90 % Result :Theorem 0.320000s
% 0.83/0.90 % Output :CNFRefutation 0.320000s
% 0.83/0.90 %-------------------------------------------
% 0.83/0.90 %--------------------------------------------------------------------------
% 0.83/0.90 % File : MGT062+1 : TPTP v8.1.2. Released v2.4.0.
% 0.83/0.90 % Domain : Management (Organisation Theory)
% 0.83/0.90 % Problem : Condictions for decreasing hazard of mortality
% 0.83/0.90 % Version : [Han98] axioms.
% 0.83/0.90 % English : If environmental drift destroys alignment exactly when advantage
% 0.83/0.90 % can be gained from occupancy of a robust position, then the
% 0.83/0.90 % hazard of mortality for an unendowed organization with a robust
% 0.83/0.90 % position decreases with age.
% 0.83/0.90
% 0.83/0.90 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 0.83/0.90 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 0.83/0.90 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 0.83/0.90 % Source : [Kam00]
% 0.83/0.90 % Names : THEOREM 8 [Han98]
% 0.83/0.90
% 0.83/0.90 % Status : Theorem
% 0.83/0.90 % Rating : 0.25 v8.1.0, 0.22 v7.5.0, 0.25 v7.4.0, 0.20 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.22 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.21 v6.2.0, 0.20 v6.1.0, 0.33 v6.0.0, 0.35 v5.5.0, 0.44 v5.4.0, 0.43 v5.3.0, 0.44 v5.2.0, 0.35 v5.1.0, 0.38 v4.1.0, 0.35 v4.0.0, 0.33 v3.7.0, 0.35 v3.5.0, 0.32 v3.4.0, 0.21 v3.2.0, 0.36 v3.1.0, 0.56 v2.7.0, 0.33 v2.4.0
% 0.83/0.90 % Syntax : Number of formulae : 14 ( 1 unt; 0 def)
% 0.83/0.90 % Number of atoms : 63 ( 13 equ)
% 0.83/0.90 % Maximal formula atoms : 16 ( 4 avg)
% 0.83/0.90 % Number of connectives : 60 ( 11 ~; 4 |; 24 &)
% 0.83/0.90 % ( 7 <=>; 14 =>; 0 <=; 0 <~>)
% 0.83/0.90 % Maximal formula depth : 14 ( 6 avg)
% 0.83/0.90 % Maximal term depth : 2 ( 1 avg)
% 0.83/0.90 % Number of predicates : 12 ( 11 usr; 0 prp; 1-3 aty)
% 0.83/0.90 % Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% 0.83/0.90 % Number of variables : 31 ( 31 !; 0 ?)
% 0.83/0.90 % SPC : FOF_THM_RFO_SEQ
% 0.83/0.90
% 0.83/0.90 % Comments : See MGT042+1.p for the mnemonic names.
% 0.83/0.90 %--------------------------------------------------------------------------
% 0.83/0.90 include('Axioms/MGT001+0.ax').
% 0.83/0.90 %--------------------------------------------------------------------------
% 0.83/0.90 %----Problem Axioms
% 0.83/0.90 %----An unendowed organization never possesses immunity.
% 0.83/0.90 fof(assumption_1,axiom,
% 0.83/0.91 ! [X,T] :
% 0.83/0.91 ( ( organization(X)
% 0.83/0.91 & ~ has_endowment(X) )
% 0.83/0.91 => ~ has_immunity(X,T) ) ).
% 0.83/0.91
% 0.83/0.91 %----Two states of the environment are dissimilar for an organization
% 0.83/0.91 %----if and only if the organization cannot be aligned to both.
% 0.83/0.91 %----
% 0.83/0.91 %----Added quantification over X.
% 0.83/0.91 fof(definition_2,axiom,
% 0.83/0.91 ! [X,T0,T] :
% 0.83/0.91 ( dissimilar(X,T0,T)
% 0.83/0.91 <=> ( organization(X)
% 0.83/0.91 & ~ ( is_aligned(X,T0)
% 0.83/0.91 <=> is_aligned(X,T) ) ) ) ).
% 0.83/0.91
% 0.83/0.91 %----An organization is aligned with the state of the environment at
% 0.83/0.91 %----its time of founding.
% 0.83/0.91 fof(assumption_13,axiom,
% 0.83/0.91 ! [X,T] :
% 0.83/0.91 ( ( organization(X)
% 0.83/0.91 & age(X,T) = zero )
% 0.83/0.91 => is_aligned(X,T) ) ).
% 0.83/0.91
% 0.83/0.91 %----Environmental drift: the environments at times separated by more
% 0.83/0.91 %----than `sigma' are dissimilar.
% 0.83/0.91 fof(assumption_15,axiom,
% 0.83/0.91 ! [X,T0,T] :
% 0.83/0.91 ( ( organization(X)
% 0.83/0.91 & age(X,T0) = zero )
% 0.83/0.91 => ( greater(age(X,T),sigma)
% 0.83/0.91 <=> dissimilar(X,T0,T) ) ) ).
% 0.83/0.91
% 0.83/0.91 %----An organization's position is robust if and only if it provides
% 0.83/0.91 %----positional advantage only after age `tau'.
% 0.83/0.91 %----
% 0.83/0.91 %----Text says fragile_position(X) instead of robust_position(X).
% 0.83/0.91 %----Interchanged ~ positional_advantage(X,T) and positional_advantage(X,T).
% 0.83/0.91 fof(definition_4,axiom,
% 0.83/0.91 ! [X] :
% 0.83/0.91 ( robust_position(X)
% 0.83/0.91 <=> ! [T] :
% 0.83/0.91 ( ( smaller_or_equal(age(X,T),tau)
% 0.83/0.91 => ~ positional_advantage(X,T) )
% 0.83/0.91 & ( greater(age(X,T),tau)
% 0.83/0.91 => positional_advantage(X,T) ) ) ) ).
% 0.83/0.91
% 0.83/0.91 %----An organization's immunity. alignment of capability with the
% 0.83/0.91 %----current state of the environment and positional advantage jointly
% 0.83/0.91 %----affect the hazard of mortality with the following ordinal scaling:
% 0.83/0.91 fof(assumption_17,axiom,
% 0.83/0.91 ! [X,T] :
% 0.83/0.91 ( organization(X)
% 0.83/0.91 => ( ( has_immunity(X,T)
% 0.83/0.91 => hazard_of_mortality(X,T) = very_low )
% 0.83/0.91 & ( ~ has_immunity(X,T)
% 0.83/0.91 => ( ( ( is_aligned(X,T)
% 0.83/0.91 & positional_advantage(X,T) )
% 0.83/0.91 => hazard_of_mortality(X,T) = low )
% 0.83/0.91 & ( ( ~ is_aligned(X,T)
% 0.83/0.91 & positional_advantage(X,T) )
% 0.83/0.91 => hazard_of_mortality(X,T) = mod1 )
% 0.83/0.91 & ( ( is_aligned(X,T)
% 0.83/0.91 & ~ positional_advantage(X,T) )
% 0.83/0.91 => hazard_of_mortality(X,T) = mod2 )
% 0.83/0.91 & ( ( ~ is_aligned(X,T)
% 0.83/0.91 & ~ positional_advantage(X,T) )
% 0.83/0.91 => hazard_of_mortality(X,T) = high ) ) ) ) ) ).
% 0.83/0.91
% 0.83/0.91 %----Position dominates alignment:
% 0.83/0.91 fof(assumption_19,axiom,
% 0.83/0.91 greater(mod2,mod1) ).
% 0.83/0.91
% 0.83/0.91 %----Problem theorems
% 0.83/0.91 %----Robust position without endowment when (`sigma' = `tau'): If
% 0.83/0.91 %----environmental drift destroys alignment exactly when advantage can
% 0.83/0.91 %----be gained from occupancy of a robust position (`sigma' = `tau'), then
% 0.83/0.91 %----the hazard of mortality for an unendowed organization with a
% 0.83/0.91 %----robust position decreases with age.
% 0.83/0.91 %----From D2, D4 and A1, A13, A15, A17 (text says D1,2 and A1,2,13-15,17-19;
% 0.83/0.91 %----also needs D<, D<=).
% 0.83/0.91 %----
% 0.83/0.91 %----Added (`sigma' = `tau') in antecedent
% 0.83/0.91 %----and (hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)).
% 0.83/0.91 fof(theorem_8,conjecture,
% 0.83/0.91 ! [X,T0,T1,T2] :
% 0.83/0.91 ( ( organization(X)
% 0.83/0.91 & robust_position(X)
% 0.83/0.91 & ~ has_endowment(X)
% 0.83/0.91 & age(X,T0) = zero
% 0.83/0.91 & greater(sigma,zero)
% 0.83/0.91 & greater(tau,zero)
% 0.83/0.91 & sigma = tau
% 0.83/0.91 & smaller_or_equal(age(X,T1),sigma)
% 0.83/0.91 & greater(age(X,T2),sigma) )
% 0.83/0.91 => ( smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
% 0.83/0.91 & hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ) ) ).
% 0.83/0.91
% 0.83/0.91 %--------------------------------------------------------------------------
% 0.83/0.91 %-------------------------------------------
% 0.83/0.91 % Proof found
% 0.83/0.91 % SZS status Theorem for theBenchmark
% 0.83/0.91 % SZS output start Proof
% 0.83/0.91 %ClaNum:74(EqnAxiom:31)
% 0.83/0.91 %VarNum:183(SingletonVarNum:68)
% 0.83/0.91 %MaxLitNum:4
% 0.83/0.91 %MaxfuncDepth:2
% 0.83/0.91 %SharedTerms:30
% 0.83/0.91 %goalClause: 32 33 34 35 36 37 39 40 41 71
% 0.83/0.91 %singleGoalClaCount:9
% 0.83/0.91 [32]E(a1,a2)
% 0.83/0.91 [33]P1(a3)
% 0.83/0.91 [34]P9(a3)
% 0.83/0.91 [36]P2(a2,a15)
% 0.83/0.91 [37]P2(a1,a15)
% 0.83/0.91 [38]P2(a8,a9)
% 0.83/0.91 [41]~P5(a3)
% 0.83/0.91 [35]E(f4(a3,a7),a15)
% 0.83/0.91 [39]P11(f4(a3,a10),a2)
% 0.83/0.91 [40]P2(f4(a3,a11),a2)
% 0.83/0.91 [71]~P12(f12(a3,a11),f12(a3,a10))+~E(f12(a3,a10),f12(a3,a7))
% 0.83/0.91 [42]~E(x421,x422)+P11(x421,x422)
% 0.83/0.91 [43]~E(x431,x432)+P6(x431,x432)
% 0.83/0.91 [47]~P12(x471,x472)+P11(x471,x472)
% 0.83/0.91 [48]~P2(x482,x481)+P12(x481,x482)
% 0.83/0.91 [49]~P2(x491,x492)+P6(x491,x492)
% 0.83/0.91 [50]~P12(x502,x501)+P2(x501,x502)
% 0.83/0.91 [55]~P2(x552,x551)+~P2(x551,x552)
% 0.83/0.91 [65]P1(x651)+~P4(x651,x652,x653)
% 0.83/0.91 [56]P9(x561)+P10(x561,f5(x561))+~P10(x561,f6(x561))
% 0.83/0.91 [61]P9(x611)+P10(x611,f5(x611))+P2(f4(x611,f6(x611)),a1)
% 0.83/0.91 [64]P9(x641)+~P10(x641,f6(x641))+P11(f4(x641,f5(x641)),a1)
% 0.83/0.91 [69]P9(x691)+P11(f4(x691,f5(x691)),a1)+P2(f4(x691,f6(x691)),a1)
% 0.83/0.91 [44]P12(x441,x442)+P2(x441,x442)+E(x441,x442)
% 0.83/0.91 [45]~P1(x451)+P5(x451)+~P7(x451,x452)
% 0.83/0.91 [46]P3(x461,x462)+~P1(x461)+P7(x461,x462)
% 0.83/0.91 [51]P12(x511,x512)+~P11(x511,x512)+E(x511,x512)
% 0.83/0.91 [52]P2(x521,x522)+~P6(x521,x522)+E(x521,x522)
% 0.83/0.91 [53]~P1(x531)+~P7(x531,x532)+E(f12(x531,x532),a16)
% 0.83/0.91 [54]~P1(x541)+P8(x541,x542)+~E(f4(x541,x542),a15)
% 0.83/0.91 [62]~P9(x621)+P10(x621,x622)+~P2(f4(x621,x622),a1)
% 0.83/0.91 [66]~P9(x661)+~P10(x661,x662)+~P11(f4(x661,x662),a1)
% 0.83/0.91 [57]~P2(x571,x573)+P2(x571,x572)+~P2(x573,x572)
% 0.83/0.91 [70]~P4(x701,x703,x702)+P8(x701,x702)+P8(x701,x703)
% 0.83/0.91 [72]~P4(x721,x723,x722)+~P8(x721,x722)+~P8(x721,x723)
% 0.83/0.91 [58]P8(x581,x582)+P10(x581,x582)+~P3(x581,x582)+E(f12(x581,x582),a13)
% 0.83/0.91 [59]P8(x591,x592)+~P10(x591,x592)+~P3(x591,x592)+E(f12(x591,x592),a9)
% 0.83/0.91 [60]P10(x601,x602)+~P8(x601,x602)+~P3(x601,x602)+E(f12(x601,x602),a8)
% 0.83/0.91 [63]~P8(x631,x632)+~P10(x631,x632)+~P3(x631,x632)+E(f12(x631,x632),a14)
% 0.83/0.91 [67]~P1(x671)+~P8(x671,x673)+P8(x671,x672)+P4(x671,x672,x673)
% 0.83/0.91 [68]~P1(x681)+~P8(x681,x683)+P8(x681,x682)+P4(x681,x683,x682)
% 0.83/0.91 [73]~P1(x731)+P4(x731,x732,x733)+~E(f4(x731,x732),a15)+~P2(f4(x731,x733),a2)
% 0.83/0.91 [74]~P1(x741)+~P4(x741,x743,x742)+P2(f4(x741,x742),a2)+~E(f4(x741,x743),a15)
% 0.83/0.91 %EqnAxiom
% 0.83/0.91 [1]E(x11,x11)
% 0.83/0.91 [2]E(x22,x21)+~E(x21,x22)
% 0.83/0.91 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.83/0.91 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.83/0.91 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.83/0.91 [6]~E(x61,x62)+E(f12(x61,x63),f12(x62,x63))
% 0.83/0.91 [7]~E(x71,x72)+E(f12(x73,x71),f12(x73,x72))
% 0.83/0.91 [8]~E(x81,x82)+E(f6(x81),f6(x82))
% 0.83/0.91 [9]~E(x91,x92)+E(f5(x91),f5(x92))
% 0.83/0.91 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.83/0.91 [11]~P9(x111)+P9(x112)+~E(x111,x112)
% 0.83/0.91 [12]P2(x122,x123)+~E(x121,x122)+~P2(x121,x123)
% 0.83/0.91 [13]P2(x133,x132)+~E(x131,x132)+~P2(x133,x131)
% 0.83/0.91 [14]P11(x142,x143)+~E(x141,x142)+~P11(x141,x143)
% 0.83/0.91 [15]P11(x153,x152)+~E(x151,x152)+~P11(x153,x151)
% 0.83/0.91 [16]P8(x162,x163)+~E(x161,x162)+~P8(x161,x163)
% 0.83/0.91 [17]P8(x173,x172)+~E(x171,x172)+~P8(x173,x171)
% 0.83/0.91 [18]P10(x182,x183)+~E(x181,x182)+~P10(x181,x183)
% 0.83/0.91 [19]P10(x193,x192)+~E(x191,x192)+~P10(x193,x191)
% 0.83/0.91 [20]P4(x202,x203,x204)+~E(x201,x202)+~P4(x201,x203,x204)
% 0.83/0.91 [21]P4(x213,x212,x214)+~E(x211,x212)+~P4(x213,x211,x214)
% 0.83/0.91 [22]P4(x223,x224,x222)+~E(x221,x222)+~P4(x223,x224,x221)
% 0.83/0.91 [23]~P5(x231)+P5(x232)+~E(x231,x232)
% 0.83/0.91 [24]P7(x242,x243)+~E(x241,x242)+~P7(x241,x243)
% 0.83/0.91 [25]P7(x253,x252)+~E(x251,x252)+~P7(x253,x251)
% 0.83/0.91 [26]P6(x262,x263)+~E(x261,x262)+~P6(x261,x263)
% 0.83/0.91 [27]P6(x273,x272)+~E(x271,x272)+~P6(x273,x271)
% 0.83/0.91 [28]P12(x282,x283)+~E(x281,x282)+~P12(x281,x283)
% 0.83/0.91 [29]P12(x293,x292)+~E(x291,x292)+~P12(x293,x291)
% 0.83/0.91 [30]P3(x302,x303)+~E(x301,x302)+~P3(x301,x303)
% 0.83/0.91 [31]P3(x313,x312)+~E(x311,x312)+~P3(x313,x311)
% 0.83/0.91
% 0.83/0.91 %-------------------------------------------
% 0.83/0.91 cnf(75,plain,
% 0.83/0.91 (E(a2,a1)),
% 0.83/0.91 inference(scs_inference,[],[32,2])).
% 0.83/0.91 cnf(76,plain,
% 0.83/0.91 (~P2(a15,a2)),
% 0.83/0.91 inference(scs_inference,[],[32,36,2,55])).
% 0.83/0.91 cnf(81,plain,
% 0.83/0.91 (P2(f4(a3,a11),a1)),
% 0.83/0.91 inference(scs_inference,[],[32,36,39,40,2,55,50,15,13])).
% 0.83/0.91 cnf(83,plain,
% 0.83/0.91 (~E(f4(a3,a11),f4(a3,a7))),
% 0.83/0.91 inference(scs_inference,[],[32,36,35,39,40,2,55,50,15,13,12,3])).
% 0.83/0.91 cnf(88,plain,
% 0.83/0.91 (~P10(a3,a10)),
% 0.83/0.91 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66])).
% 0.83/0.91 cnf(90,plain,
% 0.83/0.91 (P10(a3,a11)),
% 0.83/0.91 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62])).
% 0.83/0.91 cnf(92,plain,
% 0.83/0.91 (P8(a3,a7)),
% 0.83/0.91 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54])).
% 0.83/0.91 cnf(94,plain,
% 0.83/0.91 (P4(a3,a7,a11)),
% 0.83/0.91 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73])).
% 0.83/0.91 cnf(96,plain,
% 0.83/0.91 (P6(a2,a15)),
% 0.83/0.91 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73,49])).
% 0.83/0.91 cnf(98,plain,
% 0.83/0.91 (P12(a15,a2)),
% 0.83/0.91 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73,49,48])).
% 0.83/0.91 cnf(100,plain,
% 0.83/0.91 (P11(a15,a2)),
% 0.83/0.91 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73,49,48,47])).
% 0.83/0.91 cnf(102,plain,
% 0.83/0.91 (P6(a1,a2)),
% 0.83/0.91 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73,49,48,47,43])).
% 0.83/0.91 cnf(104,plain,
% 0.83/0.91 (P11(a1,a2)),
% 0.83/0.91 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73,49,48,47,43,42])).
% 0.83/0.91 cnf(108,plain,
% 0.83/0.91 (E(f12(x1081,a1),f12(x1081,a2))),
% 0.83/0.91 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73,49,48,47,43,42,9,8,7])).
% 0.83/0.92 cnf(109,plain,
% 0.83/0.92 (E(f12(a1,x1091),f12(a2,x1091))),
% 0.83/0.92 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73,49,48,47,43,42,9,8,7,6])).
% 0.83/0.92 cnf(110,plain,
% 0.83/0.92 (E(f4(x1101,a1),f4(x1101,a2))),
% 0.83/0.92 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73,49,48,47,43,42,9,8,7,6,5])).
% 0.83/0.92 cnf(111,plain,
% 0.83/0.92 (E(f4(a1,x1111),f4(a2,x1111))),
% 0.83/0.92 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73,49,48,47,43,42,9,8,7,6,5,4])).
% 0.83/0.92 cnf(112,plain,
% 0.83/0.92 (~P12(a2,f4(a3,a7))),
% 0.83/0.92 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73,49,48,47,43,42,9,8,7,6,5,4,29])).
% 0.83/0.92 cnf(116,plain,
% 0.83/0.92 (~P8(a3,a11)),
% 0.83/0.92 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73,49,48,47,43,42,9,8,7,6,5,4,29,28,24,19,72])).
% 0.83/0.92 cnf(118,plain,
% 0.83/0.92 (~P4(a3,a11,a11)),
% 0.83/0.92 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73,49,48,47,43,42,9,8,7,6,5,4,29,28,24,19,72,70])).
% 0.83/0.92 cnf(120,plain,
% 0.83/0.92 (P3(a3,x1201)),
% 0.83/0.92 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73,49,48,47,43,42,9,8,7,6,5,4,29,28,24,19,72,70,46])).
% 0.83/0.92 cnf(124,plain,
% 0.83/0.92 (E(f12(a3,a11),a9)),
% 0.83/0.92 inference(scs_inference,[],[32,33,34,36,41,35,39,40,2,55,50,15,13,12,3,57,45,66,62,54,73,49,48,47,43,42,9,8,7,6,5,4,29,28,24,19,72,70,46,67,59])).
% 0.83/0.92 cnf(148,plain,
% 0.83/0.92 (~P2(f4(a3,a10),a1)),
% 0.83/0.92 inference(scs_inference,[],[34,88,62])).
% 0.83/0.92 cnf(153,plain,
% 0.83/0.92 (~P2(a15,a1)),
% 0.83/0.92 inference(scs_inference,[],[37,34,83,112,88,62,48,2,55])).
% 0.83/0.92 cnf(155,plain,
% 0.83/0.92 (P12(a15,a1)),
% 0.83/0.92 inference(scs_inference,[],[37,34,83,112,75,88,98,62,48,2,55,29])).
% 0.83/0.92 cnf(156,plain,
% 0.83/0.92 (P6(a1,a1)),
% 0.83/0.92 inference(scs_inference,[],[37,34,83,112,75,88,98,102,62,48,2,55,29,27])).
% 0.83/0.92 cnf(157,plain,
% 0.83/0.92 (P6(a1,a15)),
% 0.83/0.92 inference(scs_inference,[],[37,34,83,112,75,88,96,98,102,62,48,2,55,29,27,26])).
% 0.83/0.92 cnf(159,plain,
% 0.83/0.92 (P11(a2,a2)),
% 0.83/0.92 inference(scs_inference,[],[32,37,34,94,83,112,75,88,96,98,102,104,118,62,48,2,55,29,27,26,21,14])).
% 0.83/0.92 cnf(160,plain,
% 0.83/0.92 (~E(a15,f4(a3,a11))),
% 0.83/0.92 inference(scs_inference,[],[32,37,34,35,94,83,112,75,88,96,98,102,104,118,62,48,2,55,29,27,26,21,14,3])).
% 0.83/0.92 cnf(165,plain,
% 0.83/0.92 (~P11(f4(a3,a11),a2)),
% 0.83/0.92 inference(scs_inference,[],[32,37,34,35,94,83,112,75,88,90,96,98,102,104,118,62,48,2,55,29,27,26,21,14,3,66,5,28,15])).
% 0.83/0.92 cnf(166,plain,
% 0.83/0.92 (~P2(f4(a3,a10),a2)),
% 0.83/0.92 inference(scs_inference,[],[32,37,34,35,94,83,112,75,88,90,96,98,102,104,118,62,48,2,55,29,27,26,21,14,3,66,5,28,15,13])).
% 0.83/0.92 cnf(169,plain,
% 0.83/0.92 (~P12(f4(a3,a11),a1)),
% 0.83/0.92 inference(scs_inference,[],[32,37,34,35,94,83,81,112,75,88,90,96,98,102,104,118,62,48,2,55,29,27,26,21,14,3,66,5,28,15,13,12,11,47])).
% 0.83/0.92 cnf(171,plain,
% 0.83/0.92 (~E(f4(a3,a11),a1)),
% 0.83/0.92 inference(scs_inference,[],[32,37,34,35,94,83,81,112,75,88,90,96,98,102,104,118,62,48,2,55,29,27,26,21,14,3,66,5,28,15,13,12,11,47,42])).
% 0.83/0.92 cnf(173,plain,
% 0.83/0.92 (~P2(a15,f4(a3,a11))),
% 0.83/0.92 inference(scs_inference,[],[32,37,34,40,35,94,76,83,81,112,75,88,90,96,98,102,104,118,62,48,2,55,29,27,26,21,14,3,66,5,28,15,13,12,11,47,42,57])).
% 0.83/0.92 cnf(175,plain,
% 0.83/0.92 (P12(a15,f4(a3,a11))),
% 0.83/0.92 inference(scs_inference,[],[32,37,34,40,35,94,76,83,81,112,75,88,90,96,98,102,104,118,62,48,2,55,29,27,26,21,14,3,66,5,28,15,13,12,11,47,42,57,44])).
% 0.83/0.92 cnf(195,plain,
% 0.83/0.92 (~P4(a3,a7,a10)),
% 0.83/0.92 inference(scs_inference,[],[33,35,173,160,166,52,74])).
% 0.83/0.92 cnf(199,plain,
% 0.83/0.92 (P12(a9,a8)),
% 0.83/0.92 inference(scs_inference,[],[33,38,75,35,173,160,166,52,74,42,48])).
% 0.83/0.92 cnf(201,plain,
% 0.83/0.92 (E(a15,f4(a3,a7))),
% 0.83/0.92 inference(scs_inference,[],[33,38,75,35,173,160,166,52,74,42,48,2])).
% 0.83/0.92 cnf(202,plain,
% 0.83/0.92 (~P2(a9,a8)),
% 0.83/0.92 inference(scs_inference,[],[33,38,75,35,173,160,166,52,74,42,48,2,55])).
% 0.83/0.92 cnf(204,plain,
% 0.83/0.92 (P11(a15,f4(a3,a11))),
% 0.83/0.92 inference(scs_inference,[],[33,38,75,35,173,175,160,166,52,74,42,48,2,55,47])).
% 0.83/0.92 cnf(208,plain,
% 0.83/0.92 (~E(f4(a3,a10),f4(a3,a11))),
% 0.83/0.92 inference(scs_inference,[],[33,38,39,75,35,173,175,165,160,166,52,74,42,48,2,55,47,26,5,14])).
% 0.83/0.92 cnf(209,plain,
% 0.83/0.92 (P2(a1,f4(a3,a7))),
% 0.83/0.92 inference(scs_inference,[],[33,38,37,39,75,35,173,175,165,160,166,52,74,42,48,2,55,47,26,5,14,13])).
% 0.83/0.92 cnf(218,plain,
% 0.83/0.92 (~P2(f4(a3,a7),f4(a3,a11))),
% 0.83/0.92 inference(scs_inference,[],[33,38,37,39,75,35,108,109,153,173,175,165,160,166,52,74,42,48,2,55,47,26,5,14,13,3,28,12,10,50,49])).
% 0.83/0.92 cnf(222,plain,
% 0.83/0.92 (~E(a3,x2221)+~P10(a3,a7)+E(f12(a3,a7),a14)),
% 0.83/0.92 inference(scs_inference,[],[33,38,37,39,75,35,108,109,153,173,175,165,160,166,120,92,52,74,42,48,2,55,47,26,5,14,13,3,28,12,10,50,49,53,63])).
% 0.83/0.92 cnf(223,plain,
% 0.83/0.92 (P3(a3,x2231)),
% 0.83/0.92 inference(rename_variables,[],[120])).
% 0.83/0.92 cnf(225,plain,
% 0.83/0.92 (~E(a3,x2251)+~P8(a3,a10)+E(f12(a3,a10),a8)),
% 0.83/0.92 inference(scs_inference,[],[33,38,37,39,75,35,108,109,153,173,175,165,160,166,88,120,223,92,52,74,42,48,2,55,47,26,5,14,13,3,28,12,10,50,49,53,63,60])).
% 0.83/0.92 cnf(240,plain,
% 0.83/0.92 (E(f12(a3,a7),a14)+~P10(a3,a7)),
% 0.83/0.92 inference(equality_inference,[],[222])).
% 0.83/0.92 cnf(241,plain,
% 0.83/0.92 (~P8(a3,a10)+E(f12(a3,a10),a8)),
% 0.83/0.92 inference(equality_inference,[],[225])).
% 0.83/0.92 cnf(246,plain,
% 0.83/0.92 (P8(a3,a10)),
% 0.83/0.92 inference(scs_inference,[],[33,195,92,68])).
% 0.83/0.92 cnf(250,plain,
% 0.83/0.92 (P6(a8,a9)),
% 0.83/0.92 inference(scs_inference,[],[33,38,195,116,92,68,67,49])).
% 0.83/0.92 cnf(261,plain,
% 0.83/0.92 (~P2(f4(a3,a10),f4(a3,a11))),
% 0.83/0.92 inference(scs_inference,[],[33,38,148,169,195,116,165,81,92,68,67,49,17,50,42,47,48,57])).
% 0.83/0.92 cnf(265,plain,
% 0.83/0.92 (P6(a1,f4(a3,a7))),
% 0.83/0.92 inference(scs_inference,[],[33,38,40,148,169,201,157,195,116,165,81,92,68,67,49,17,50,42,47,48,57,55,27])).
% 0.83/0.92 cnf(270,plain,
% 0.83/0.92 (P6(a2,a1)),
% 0.83/0.92 inference(scs_inference,[],[33,38,40,148,110,111,169,201,156,157,195,171,116,165,81,92,32,68,67,49,17,50,42,47,48,57,55,27,2,3,26])).
% 0.83/0.92 cnf(274,plain,
% 0.83/0.92 (E(f12(a3,a10),a8)),
% 0.83/0.92 inference(scs_inference,[],[33,38,40,75,148,110,111,204,169,201,209,156,157,195,171,116,165,81,92,32,68,67,49,17,50,42,47,48,57,55,27,2,3,26,14,28,12,241])).
% 0.83/0.92 cnf(275,plain,
% 0.83/0.92 (P10(a3,a7)+E(f12(a3,a7),a8)),
% 0.83/0.92 inference(scs_inference,[],[33,38,40,75,148,110,111,204,169,201,209,156,157,195,171,116,165,81,120,92,32,68,67,49,17,50,42,47,48,57,55,27,2,3,26,14,28,12,241,60])).
% 0.83/0.92 cnf(278,plain,
% 0.83/0.92 (P12(a1,f4(a3,a11))),
% 0.83/0.92 inference(scs_inference,[],[33,38,40,75,148,110,111,204,169,201,209,156,157,195,171,116,165,81,120,92,32,68,67,49,17,50,42,47,48,57,55,27,2,3,26,14,28,12,241,60,44])).
% 0.83/0.92 cnf(280,plain,
% 0.83/0.92 (~P2(a9,f12(a3,a10))),
% 0.83/0.92 inference(scs_inference,[],[33,38,40,75,148,110,111,204,169,201,209,156,157,195,202,171,116,165,81,120,92,32,68,67,49,17,50,42,47,48,57,55,27,2,3,26,14,28,12,241,60,44,13])).
% 0.83/0.92 cnf(296,plain,
% 0.83/0.92 (P11(f4(a3,a7),a15)),
% 0.83/0.92 inference(scs_inference,[],[35,246,116,33,68,42])).
% 0.83/0.92 cnf(302,plain,
% 0.83/0.92 (P11(a15,a1)),
% 0.83/0.92 inference(scs_inference,[],[40,35,75,246,278,100,116,33,68,42,47,48,15])).
% 0.83/0.92 cnf(304,plain,
% 0.83/0.92 (E(a9,f12(a3,a11))),
% 0.83/0.92 inference(scs_inference,[],[40,35,75,124,246,278,100,270,116,33,32,68,42,47,48,15,27,2])).
% 0.83/0.92 cnf(309,plain,
% 0.83/0.92 (P12(f4(a3,a7),a1)),
% 0.83/0.92 inference(scs_inference,[],[38,40,35,75,124,246,159,278,280,265,100,270,155,201,165,116,33,32,68,42,47,48,15,27,2,13,14,26,12,28])).
% 0.83/0.92 cnf(313,plain,
% 0.83/0.92 (E(f12(x3131,f4(a3,a7)),f12(x3131,a15))),
% 0.83/0.92 inference(scs_inference,[],[38,40,35,75,124,246,159,278,280,265,100,270,155,201,165,116,33,32,68,42,47,48,15,27,2,13,14,26,12,28,43,9,7])).
% 0.83/0.92 cnf(314,plain,
% 0.83/0.92 (E(f12(f4(a3,a7),x3141),f12(a15,x3141))),
% 0.83/0.92 inference(scs_inference,[],[38,40,35,75,124,246,159,278,280,265,100,270,155,201,165,116,33,32,68,42,47,48,15,27,2,13,14,26,12,28,43,9,7,6])).
% 0.83/0.92 cnf(315,plain,
% 0.83/0.92 (E(f4(f4(a3,a7),x3151),f4(a15,x3151))),
% 0.83/0.92 inference(scs_inference,[],[38,40,35,75,124,246,159,278,280,265,100,270,155,201,165,116,33,32,68,42,47,48,15,27,2,13,14,26,12,28,43,9,7,6,4])).
% 0.83/0.92 cnf(318,plain,
% 0.83/0.92 (~P2(f12(a3,a11),a8)),
% 0.83/0.92 inference(scs_inference,[],[38,40,35,75,124,246,159,278,280,265,100,270,155,201,165,116,33,32,68,42,47,48,15,27,2,13,14,26,12,28,43,9,7,6,4,8,22,55])).
% 0.83/0.92 cnf(339,plain,
% 0.83/0.92 (P12(f4(a3,a10),f4(a3,a11))),
% 0.83/0.92 inference(scs_inference,[],[208,261,44])).
% 0.83/0.92 cnf(342,plain,
% 0.83/0.92 (P12(f12(a3,a11),a8)),
% 0.83/0.92 inference(scs_inference,[],[304,309,199,208,261,32,44,29,28])).
% 0.83/0.92 cnf(370,plain,
% 0.83/0.92 (P6(f12(a3,a10),a8)),
% 0.83/0.92 inference(scs_inference,[],[40,274,49,43])).
% 0.83/0.92 cnf(372,plain,
% 0.83/0.92 (~P12(a8,f12(a3,a11))),
% 0.83/0.92 inference(scs_inference,[],[40,318,274,49,43,50])).
% 0.83/0.92 cnf(374,plain,
% 0.83/0.92 (P11(f12(a3,a10),a8)),
% 0.83/0.92 inference(scs_inference,[],[40,318,274,49,43,50,42])).
% 0.83/0.92 cnf(380,plain,
% 0.83/0.92 (E(a8,f12(a3,a10))),
% 0.83/0.92 inference(scs_inference,[],[40,318,274,313,314,296,201,49,43,50,42,15,3,2])).
% 0.83/0.92 cnf(381,plain,
% 0.83/0.92 (P6(a8,f12(a3,a11))),
% 0.83/0.92 inference(scs_inference,[],[40,318,274,313,314,296,250,304,201,49,43,50,42,15,3,2,27])).
% 0.83/0.92 cnf(382,plain,
% 0.83/0.92 (P11(a8,a8)),
% 0.83/0.92 inference(scs_inference,[],[40,318,274,313,314,296,250,304,201,49,43,50,42,15,3,2,27,14])).
% 0.83/0.92 cnf(383,plain,
% 0.83/0.92 (~P12(f12(a3,a10),f12(a3,a11))),
% 0.83/0.92 inference(scs_inference,[],[40,318,274,313,314,296,250,304,201,49,43,50,42,15,3,2,27,14,28])).
% 0.83/0.92 cnf(385,plain,
% 0.83/0.92 (E(f4(x3851,f4(a3,a7)),f4(x3851,a15))),
% 0.83/0.92 inference(scs_inference,[],[35,40,318,274,313,314,296,250,304,201,49,43,50,42,15,3,2,27,14,28,17,5])).
% 0.83/0.92 cnf(387,plain,
% 0.83/0.92 (P12(f12(a3,a11),f12(a3,a10))),
% 0.83/0.92 inference(scs_inference,[],[35,38,40,318,274,313,314,342,296,250,304,201,49,43,50,42,15,3,2,27,14,28,17,5,12,29])).
% 0.83/0.92 cnf(388,plain,
% 0.83/0.92 (~E(f12(a3,a10),f12(a3,a7))),
% 0.83/0.92 inference(scs_inference,[],[35,38,40,318,274,313,314,342,296,250,304,201,49,43,50,42,15,3,2,27,14,28,17,5,12,29,71])).
% 0.83/0.92 cnf(406,plain,
% 0.83/0.92 (~E(f12(a3,a7),f12(a3,a10))),
% 0.83/0.92 inference(scs_inference,[],[75,387,383,374,380,388,304,7,50,15,29,2])).
% 0.83/0.92 cnf(407,plain,
% 0.83/0.92 (E(f4(f4(a3,a7),f4(a3,a7)),f4(a15,a15))),
% 0.83/0.92 inference(scs_inference,[],[75,387,383,385,374,380,388,315,304,7,50,15,29,2,3])).
% 0.83/0.92 cnf(436,plain,
% 0.83/0.92 (P10(a3,a7)),
% 0.83/0.92 inference(scs_inference,[],[339,406,407,372,218,380,304,7,47,50,2,29,3,275])).
% 0.83/0.92 cnf(438,plain,
% 0.83/0.92 (E(f4(a2,x4381),f4(a1,x4381))),
% 0.83/0.92 inference(scs_inference,[],[75,339,406,407,372,218,380,304,7,47,50,2,29,3,275,240,4])).
% 0.83/0.92 cnf(445,plain,
% 0.83/0.92 (~P11(f4(a3,a11),a15)),
% 0.83/0.92 inference(scs_inference,[],[75,339,406,407,372,218,380,83,304,201,7,47,50,2,29,3,275,240,4,11,9,6,8,51,15])).
% 0.83/0.92 cnf(473,plain,
% 0.83/0.92 ($false),
% 0.83/0.92 inference(scs_inference,[],[436,438,445,382,302,381,370,380,34,201,66,7,47,42,26,15,27,14]),
% 0.83/0.92 ['proof']).
% 0.83/0.92 % SZS output end Proof
% 0.83/0.92 % Total time :0.320000s
%------------------------------------------------------------------------------