TSTP Solution File: ALG202+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG202+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n024.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 15:59:03 EDT 2023
% Result : Theorem 61.66s 61.70s
% Output : CNFRefutation 61.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG202+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n024.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 03:57:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.60 start to proof:theBenchmark
% 61.62/61.69 %-------------------------------------------
% 61.62/61.69 % File :CSE---1.6
% 61.62/61.69 % Problem :theBenchmark
% 61.62/61.69 % Transform :cnf
% 61.62/61.69 % Format :tptp:raw
% 61.62/61.69 % Command :java -jar mcs_scs.jar %d %s
% 61.62/61.69
% 61.62/61.69 % Result :Theorem 61.000000s
% 61.62/61.69 % Output :CNFRefutation 61.000000s
% 61.62/61.69 %-------------------------------------------
% 61.62/61.70 %--------------------------------------------------------------------------
% 61.66/61.70 % File : ALG202+1 : TPTP v8.1.2. Released v2.7.0.
% 61.66/61.70 % Domain : General Algebra
% 61.66/61.70 % Problem : Quasigroups 7 QG5: CPROPS-SORTED-DISCRIMINANT-PROBLEM-2
% 61.66/61.70 % Version : Especial.
% 61.66/61.70 % English :
% 61.66/61.70
% 61.66/61.70 % Refs : [Mei03] Meier (2003), Email to G.Sutcliffe
% 61.66/61.70 % : [CM+04] Colton et al. (2004), Automatic Generation of Classifi
% 61.66/61.70 % Source : [Mei03]
% 61.66/61.70 % Names :
% 61.66/61.70
% 61.66/61.70 % Status : Theorem
% 61.66/61.70 % Rating : 0.08 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.04 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.19 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.0, 0.08 v3.7.0, 0.00 v3.4.0, 0.05 v3.3.0, 0.07 v3.2.0, 0.18 v3.1.0, 0.11 v2.7.0
% 61.66/61.70 % Syntax : Number of formulae : 5 ( 0 unt; 0 def)
% 61.66/61.70 % Number of atoms : 24 ( 6 equ)
% 61.66/61.70 % Maximal formula atoms : 14 ( 4 avg)
% 61.66/61.70 % Number of connectives : 21 ( 2 ~; 0 |; 4 &)
% 61.66/61.70 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 61.66/61.70 % Maximal formula depth : 9 ( 5 avg)
% 61.66/61.70 % Maximal term depth : 3 ( 1 avg)
% 61.66/61.70 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 61.66/61.70 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 61.66/61.70 % Number of variables : 14 ( 14 !; 0 ?)
% 61.66/61.70 % SPC : FOF_THM_RFO_SEQ
% 61.66/61.70
% 61.66/61.70 % Comments :
% 61.66/61.70 %--------------------------------------------------------------------------
% 61.66/61.70 fof(ax1,axiom,
% 61.66/61.70 ! [U] :
% 61.66/61.70 ( sorti1(U)
% 61.66/61.70 => ! [V] :
% 61.66/61.70 ( sorti1(V)
% 61.66/61.70 => sorti1(op1(U,V)) ) ) ).
% 61.66/61.70
% 61.66/61.70 fof(ax2,axiom,
% 61.66/61.70 ! [U] :
% 61.66/61.70 ( sorti2(U)
% 61.66/61.70 => ! [V] :
% 61.66/61.70 ( sorti2(V)
% 61.66/61.70 => sorti2(op2(U,V)) ) ) ).
% 61.66/61.70
% 61.66/61.70 fof(ax3,axiom,
% 61.66/61.70 ! [U] :
% 61.66/61.70 ( sorti1(U)
% 61.66/61.70 => op1(U,U) = U ) ).
% 61.66/61.70
% 61.66/61.70 fof(ax4,axiom,
% 61.66/61.70 ~ ! [U] :
% 61.66/61.70 ( sorti2(U)
% 61.66/61.70 => op2(U,U) = U ) ).
% 61.66/61.70
% 61.66/61.70 fof(co1,conjecture,
% 61.66/61.70 ( ( ! [U] :
% 61.66/61.70 ( sorti1(U)
% 61.66/61.70 => sorti2(h(U)) )
% 61.66/61.70 & ! [V] :
% 61.66/61.70 ( sorti2(V)
% 61.66/61.70 => sorti1(j(V)) ) )
% 61.66/61.70 => ~ ( ! [W] :
% 61.66/61.70 ( sorti1(W)
% 61.66/61.70 => ! [X] :
% 61.66/61.70 ( sorti1(X)
% 61.66/61.70 => h(op1(W,X)) = op2(h(W),h(X)) ) )
% 61.66/61.70 & ! [Y] :
% 61.66/61.70 ( sorti2(Y)
% 61.66/61.70 => ! [Z] :
% 61.66/61.70 ( sorti2(Z)
% 61.66/61.70 => j(op2(Y,Z)) = op1(j(Y),j(Z)) ) )
% 61.66/61.70 & ! [X1] :
% 61.66/61.70 ( sorti2(X1)
% 61.66/61.70 => h(j(X1)) = X1 )
% 61.66/61.70 & ! [X2] :
% 61.66/61.70 ( sorti1(X2)
% 61.66/61.70 => j(h(X2)) = X2 ) ) ) ).
% 61.66/61.70
% 61.66/61.70 %--------------------------------------------------------------------------
% 61.66/61.70 %-------------------------------------------
% 61.66/61.70 % Proof found
% 61.66/61.70 % SZS status Theorem for theBenchmark
% 61.66/61.70 % SZS output start Proof
% 61.66/61.70 %ClaNum:22(EqnAxiom:11)
% 61.66/61.70 %VarNum:34(SingletonVarNum:13)
% 61.66/61.70 %MaxLitNum:3
% 61.66/61.70 %MaxfuncDepth:2
% 61.66/61.70 %SharedTerms:4
% 61.66/61.70 %goalClause: 14 15 16 17 21 22
% 61.66/61.70 [12]P1(a1)
% 61.66/61.70 [13]~E(f2(a1,a1),a1)
% 61.66/61.70 [14]~P1(x141)+P2(f3(x141))
% 61.66/61.70 [15]~P2(x151)+P1(f4(x151))
% 61.66/61.70 [18]~P2(x181)+E(f5(x181,x181),x181)
% 61.66/61.70 [16]~P1(x161)+E(f4(f3(x161)),x161)
% 61.66/61.70 [17]~P2(x171)+E(f3(f4(x171)),x171)
% 61.66/61.70 [19]~P2(x192)+~P2(x191)+P2(f5(x191,x192))
% 61.66/61.70 [20]~P1(x202)+~P1(x201)+P1(f2(x201,x202))
% 61.66/61.70 [21]~P2(x212)+~P2(x211)+E(f4(f5(x211,x212)),f2(f4(x211),f4(x212)))
% 61.66/61.70 [22]~P1(x222)+~P1(x221)+E(f5(f3(x221),f3(x222)),f3(f2(x221,x222)))
% 61.66/61.70 %EqnAxiom
% 61.66/61.70 [1]E(x11,x11)
% 61.66/61.70 [2]E(x22,x21)+~E(x21,x22)
% 61.66/61.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 61.66/61.70 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 61.66/61.70 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 61.66/61.70 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 61.66/61.70 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 61.66/61.70 [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83))
% 61.66/61.70 [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92))
% 61.66/61.70 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 61.66/61.70 [11]~P2(x111)+P2(x112)+~E(x111,x112)
% 61.66/61.70
% 61.66/61.70 %-------------------------------------------
% 61.66/61.71 cnf(23,plain,
% 61.66/61.71 (~E(a1,f2(a1,a1))),
% 61.66/61.71 inference(scs_inference,[],[13,2])).
% 61.66/61.71 cnf(24,plain,
% 61.66/61.71 (E(f4(f3(a1)),a1)),
% 61.66/61.71 inference(scs_inference,[],[12,13,2,16])).
% 61.66/61.71 cnf(26,plain,
% 61.66/61.71 (P2(f3(a1))),
% 61.66/61.71 inference(scs_inference,[],[12,13,2,16,14])).
% 61.66/61.71 cnf(32,plain,
% 61.66/61.71 (E(f2(x321,f4(f3(a1))),f2(x321,a1))),
% 61.66/61.71 inference(scs_inference,[],[12,13,2,16,14,9,8,7,6,5])).
% 61.66/61.71 cnf(33,plain,
% 61.66/61.71 (E(f2(f4(f3(a1)),x331),f2(a1,x331))),
% 61.66/61.71 inference(scs_inference,[],[12,13,2,16,14,9,8,7,6,5,4])).
% 61.66/61.71 cnf(34,plain,
% 61.66/61.71 (E(f5(f3(a1),f3(a1)),f3(a1))),
% 61.66/61.71 inference(scs_inference,[],[12,13,2,16,14,9,8,7,6,5,4,18])).
% 61.66/61.71 cnf(38,plain,
% 61.66/61.71 (P1(f2(a1,a1))),
% 61.66/61.71 inference(scs_inference,[],[12,13,2,16,14,9,8,7,6,5,4,18,11,3,20])).
% 61.66/61.71 cnf(40,plain,
% 61.66/61.71 (P2(f5(f3(a1),f3(a1)))),
% 61.66/61.71 inference(scs_inference,[],[12,13,2,16,14,9,8,7,6,5,4,18,11,3,20,19])).
% 61.66/61.71 cnf(42,plain,
% 61.66/61.71 (E(f5(f3(a1),f3(a1)),f3(f2(a1,a1)))),
% 61.66/61.71 inference(scs_inference,[],[12,13,2,16,14,9,8,7,6,5,4,18,11,3,20,19,22])).
% 61.66/61.71 cnf(49,plain,
% 61.66/61.71 (E(f3(f2(a1,a1)),f5(f3(a1),f3(a1)))),
% 61.66/61.71 inference(scs_inference,[],[42,40,38,15,20,2])).
% 61.66/61.71 cnf(50,plain,
% 61.66/61.71 (~E(a1,x501)+P1(x501)),
% 61.66/61.71 inference(scs_inference,[],[12,42,40,38,15,20,2,10])).
% 61.66/61.71 cnf(51,plain,
% 61.66/61.71 (P2(f3(f2(a1,a1)))),
% 61.66/61.71 inference(scs_inference,[],[12,42,40,38,15,20,2,10,11])).
% 61.66/61.71 cnf(52,plain,
% 61.66/61.71 (E(f3(f2(a1,a1)),f3(a1))),
% 61.66/61.71 inference(scs_inference,[],[12,42,40,38,34,15,20,2,10,11,3])).
% 61.66/61.71 cnf(61,plain,
% 61.66/61.71 (E(f3(a1),f3(f2(a1,a1)))),
% 61.66/61.71 inference(scs_inference,[],[52,2])).
% 61.66/61.71 cnf(62,plain,
% 61.66/61.71 (~E(a1,f2(a1,f4(f3(a1))))),
% 61.66/61.71 inference(scs_inference,[],[23,52,32,2,3])).
% 61.66/61.71 cnf(66,plain,
% 61.66/61.71 (E(f4(f3(f2(a1,a1))),f2(a1,a1))),
% 61.66/61.71 inference(scs_inference,[],[61,62,38,49,2,3,16])).
% 61.66/61.71 cnf(78,plain,
% 61.66/61.71 (E(f2(x781,a1),f2(x781,f4(f3(a1))))),
% 61.66/61.71 inference(scs_inference,[],[24,66,51,2,50,15,3,9,8,7,5])).
% 61.66/61.71 cnf(80,plain,
% 61.66/61.71 (E(f3(a1),f3(f4(f3(a1))))),
% 61.66/61.71 inference(scs_inference,[],[24,66,51,2,50,15,3,9,8,7,5,4,6])).
% 61.66/61.71 cnf(88,plain,
% 61.66/61.71 (E(f2(a1,a1),f4(f3(f2(a1,a1))))),
% 61.66/61.71 inference(scs_inference,[],[26,33,78,80,66,23,38,10,11,3,2])).
% 61.66/61.71 cnf(101,plain,
% 61.66/61.71 (~E(a1,f4(f3(f2(a1,a1))))),
% 61.66/61.71 inference(scs_inference,[],[88,13,3,2])).
% 61.66/61.71 cnf(298,plain,
% 61.66/61.71 (~E(f4(f3(a1)),f4(f3(f2(a1,a1))))),
% 61.66/61.71 inference(scs_inference,[],[24,101,2,3])).
% 61.66/61.71 cnf(622,plain,
% 61.66/61.71 (E(f4(f3(a1)),f4(f3(f2(a1,a1))))),
% 61.66/61.71 inference(scs_inference,[],[52,7,2])).
% 61.66/61.71 cnf(1615,plain,
% 61.66/61.71 ($false),
% 61.66/61.71 inference(scs_inference,[],[622,298]),
% 61.66/61.71 ['proof']).
% 61.66/61.71 % SZS output end Proof
% 61.66/61.71 % Total time :61.000000s
%------------------------------------------------------------------------------