TSTP Solution File: ALG203+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG203+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 : n021.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 121.96s 122.01s
% Output : CNFRefutation 121.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG203+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n021.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 05:34:43 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 121.96/121.99 %-------------------------------------------
% 121.96/121.99 % File :CSE---1.6
% 121.96/121.99 % Problem :theBenchmark
% 121.96/121.99 % Transform :cnf
% 121.96/121.99 % Format :tptp:raw
% 121.96/121.99 % Command :java -jar mcs_scs.jar %d %s
% 121.96/121.99
% 121.96/121.99 % Result :Theorem 121.330000s
% 121.96/121.99 % Output :CNFRefutation 121.330000s
% 121.96/121.99 %-------------------------------------------
% 121.96/122.00 %--------------------------------------------------------------------------
% 121.96/122.00 % File : ALG203+1 : TPTP v8.1.2. Released v2.7.0.
% 121.96/122.00 % Domain : General Algebra
% 121.96/122.00 % Problem : Quasigroups 7 QG5: CPROPS-SORTED-DISCRIMINANT-PROBLEM-3
% 121.96/122.00 % Version : Especial.
% 121.96/122.00 % English :
% 121.96/122.00
% 121.96/122.00 % Refs : [Mei03] Meier (2003), Email to G.Sutcliffe
% 121.96/122.00 % : [CM+04] Colton et al. (2004), Automatic Generation of Classifi
% 121.96/122.00 % Source : [Mei03]
% 121.96/122.00 % Names :
% 121.96/122.00
% 121.96/122.00 % Status : Theorem
% 121.96/122.00 % Rating : 0.25 v7.5.0, 0.28 v7.4.0, 0.20 v7.3.0, 0.17 v7.1.0, 0.22 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.30 v6.0.0, 0.22 v5.5.0, 0.33 v5.4.0, 0.32 v5.3.0, 0.44 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.33 v4.1.0, 0.35 v4.0.0, 0.33 v3.7.0, 0.15 v3.5.0, 0.11 v3.4.0, 0.16 v3.3.0, 0.07 v3.2.0, 0.18 v3.1.0, 0.11 v2.7.0
% 121.96/122.00 % Syntax : Number of formulae : 5 ( 0 unt; 0 def)
% 121.96/122.00 % Number of atoms : 28 ( 8 equ)
% 121.96/122.00 % Maximal formula atoms : 14 ( 5 avg)
% 121.96/122.00 % Number of connectives : 27 ( 4 ~; 0 |; 10 &)
% 121.96/122.00 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 121.96/122.00 % Maximal formula depth : 9 ( 6 avg)
% 121.96/122.00 % Maximal term depth : 3 ( 1 avg)
% 121.96/122.00 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 121.96/122.00 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 121.96/122.00 % Number of variables : 16 ( 12 !; 4 ?)
% 121.96/122.00 % SPC : FOF_THM_RFO_SEQ
% 121.96/122.00
% 121.96/122.00 % Comments :
% 121.96/122.00 %--------------------------------------------------------------------------
% 121.96/122.00 fof(ax1,axiom,
% 121.96/122.00 ! [U] :
% 121.96/122.00 ( sorti1(U)
% 121.96/122.00 => ! [V] :
% 121.96/122.00 ( sorti1(V)
% 121.96/122.00 => sorti1(op1(U,V)) ) ) ).
% 121.96/122.00
% 121.96/122.00 fof(ax2,axiom,
% 121.96/122.00 ! [U] :
% 121.96/122.00 ( sorti2(U)
% 121.96/122.00 => ! [V] :
% 121.96/122.00 ( sorti2(V)
% 121.96/122.00 => sorti2(op2(U,V)) ) ) ).
% 121.96/122.00
% 121.96/122.00 fof(ax3,axiom,
% 121.96/122.00 ( ? [U] :
% 121.96/122.00 ( sorti1(U)
% 121.96/122.00 & op1(U,U) = U )
% 121.96/122.00 & ? [V] :
% 121.96/122.00 ( sorti1(V)
% 121.96/122.00 & op1(V,V) != V ) ) ).
% 121.96/122.00
% 121.96/122.00 fof(ax4,axiom,
% 121.96/122.00 ~ ( ? [U] :
% 121.96/122.00 ( sorti2(U)
% 121.96/122.00 & op2(U,U) = U )
% 121.96/122.00 & ? [V] :
% 121.96/122.00 ( sorti2(V)
% 121.96/122.00 & op2(V,V) != V ) ) ).
% 121.96/122.00
% 121.96/122.00 fof(co1,conjecture,
% 121.96/122.00 ( ( ! [U] :
% 121.96/122.00 ( sorti1(U)
% 121.96/122.00 => sorti2(h(U)) )
% 121.96/122.00 & ! [V] :
% 121.96/122.00 ( sorti2(V)
% 121.96/122.00 => sorti1(j(V)) ) )
% 121.96/122.00 => ~ ( ! [W] :
% 121.96/122.00 ( sorti1(W)
% 121.96/122.00 => ! [X] :
% 121.96/122.00 ( sorti1(X)
% 121.96/122.00 => h(op1(W,X)) = op2(h(W),h(X)) ) )
% 121.96/122.00 & ! [Y] :
% 121.96/122.00 ( sorti2(Y)
% 121.96/122.00 => ! [Z] :
% 121.96/122.00 ( sorti2(Z)
% 121.96/122.00 => j(op2(Y,Z)) = op1(j(Y),j(Z)) ) )
% 121.96/122.00 & ! [X1] :
% 121.96/122.00 ( sorti2(X1)
% 121.96/122.00 => h(j(X1)) = X1 )
% 121.96/122.00 & ! [X2] :
% 121.96/122.00 ( sorti1(X2)
% 121.96/122.00 => j(h(X2)) = X2 ) ) ) ).
% 121.96/122.00
% 121.96/122.00 %--------------------------------------------------------------------------
% 121.96/122.00 %-------------------------------------------
% 121.96/122.01 % Proof found
% 121.96/122.01 % SZS status Theorem for theBenchmark
% 121.96/122.01 % SZS output start Proof
% 121.96/122.02 %ClaNum:24(EqnAxiom:11)
% 121.96/122.02 %VarNum:38(SingletonVarNum:14)
% 121.96/122.02 %MaxLitNum:4
% 121.96/122.02 %MaxfuncDepth:2
% 121.96/122.02 %SharedTerms:8
% 121.96/122.02 %goalClause: 16 17 18 19 23 24
% 121.96/122.02 [12]P1(a1)
% 121.96/122.02 [13]P1(a2)
% 121.96/122.02 [14]E(f3(a1,a1),a1)
% 121.96/122.02 [15]~E(f3(a2,a2),a2)
% 121.96/122.02 [16]~P2(x161)+P1(f4(x161))
% 121.96/122.02 [17]~P1(x171)+P2(f5(x171))
% 121.96/122.02 [18]~P2(x181)+E(f5(f4(x181)),x181)
% 121.96/122.02 [19]~P1(x191)+E(f4(f5(x191)),x191)
% 121.96/122.02 [20]~P1(x202)+~P1(x201)+P1(f3(x201,x202))
% 121.96/122.02 [21]~P2(x212)+~P2(x211)+P2(f6(x211,x212))
% 121.96/122.02 [23]~P1(x232)+~P1(x231)+E(f6(f5(x231),f5(x232)),f5(f3(x231,x232)))
% 121.96/122.02 [24]~P2(x242)+~P2(x241)+E(f3(f4(x241),f4(x242)),f4(f6(x241,x242)))
% 121.96/122.02 [22]~P2(x221)+~P2(x222)+E(f6(x221,x221),x221)+~E(f6(x222,x222),x222)
% 121.96/122.02 %EqnAxiom
% 121.96/122.02 [1]E(x11,x11)
% 121.96/122.02 [2]E(x22,x21)+~E(x21,x22)
% 121.96/122.02 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 121.96/122.02 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 121.96/122.02 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 121.96/122.02 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 121.96/122.02 [7]~E(x71,x72)+E(f5(x71),f5(x72))
% 121.96/122.02 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 121.96/122.02 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 121.96/122.02 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 121.96/122.02 [11]~P2(x111)+P2(x112)+~E(x111,x112)
% 121.96/122.02
% 121.96/122.02 %-------------------------------------------
% 121.96/122.03 cnf(25,plain,
% 121.96/122.03 (E(a1,f3(a1,a1))),
% 121.96/122.03 inference(scs_inference,[],[14,2])).
% 121.96/122.03 cnf(26,plain,
% 121.96/122.03 (P1(f3(a1,a1))),
% 121.96/122.03 inference(scs_inference,[],[12,14,2,10])).
% 121.96/122.03 cnf(27,plain,
% 121.96/122.03 (E(f4(f5(a1)),a1)),
% 121.96/122.03 inference(scs_inference,[],[12,14,2,10,19])).
% 121.96/122.03 cnf(29,plain,
% 121.96/122.03 (P2(f5(a1))),
% 121.96/122.03 inference(scs_inference,[],[12,14,2,10,19,17])).
% 121.96/122.03 cnf(33,plain,
% 121.96/122.03 (E(f6(x331,f3(a1,a1)),f6(x331,a1))),
% 121.96/122.03 inference(scs_inference,[],[12,14,2,10,19,17,16,9])).
% 121.96/122.03 cnf(34,plain,
% 121.96/122.03 (E(f6(f3(a1,a1),x341),f6(a1,x341))),
% 121.96/122.03 inference(scs_inference,[],[12,14,2,10,19,17,16,9,8])).
% 121.96/122.03 cnf(35,plain,
% 121.96/122.03 (E(f5(f3(a1,a1)),f5(a1))),
% 121.96/122.03 inference(scs_inference,[],[12,14,2,10,19,17,16,9,8,7])).
% 121.96/122.03 cnf(37,plain,
% 121.96/122.03 (E(f3(x371,f3(a1,a1)),f3(x371,a1))),
% 121.96/122.03 inference(scs_inference,[],[12,14,2,10,19,17,16,9,8,7,6,5])).
% 121.96/122.03 cnf(38,plain,
% 121.96/122.03 (E(f3(f3(a1,a1),x381),f3(a1,x381))),
% 121.96/122.03 inference(scs_inference,[],[12,14,2,10,19,17,16,9,8,7,6,5,4])).
% 121.96/122.03 cnf(39,plain,
% 121.96/122.03 (~E(f5(a1),x391)+P2(x391)),
% 121.96/122.03 inference(scs_inference,[],[12,14,2,10,19,17,16,9,8,7,6,5,4,11])).
% 121.96/122.03 cnf(40,plain,
% 121.96/122.03 (P2(f6(f5(a1),f5(a1)))),
% 121.96/122.03 inference(scs_inference,[],[12,14,2,10,19,17,16,9,8,7,6,5,4,11,21])).
% 121.96/122.03 cnf(42,plain,
% 121.96/122.03 (P1(f3(a2,a2))),
% 121.96/122.03 inference(scs_inference,[],[12,13,14,2,10,19,17,16,9,8,7,6,5,4,11,21,20])).
% 121.96/122.03 cnf(44,plain,
% 121.96/122.03 (E(f6(f5(a1),f5(a1)),f5(f3(a1,a1)))),
% 121.96/122.03 inference(scs_inference,[],[12,13,14,2,10,19,17,16,9,8,7,6,5,4,11,21,20,23])).
% 121.96/122.03 cnf(50,plain,
% 121.96/122.03 (E(f5(f4(f5(a1))),f5(a1))),
% 121.96/122.03 inference(scs_inference,[],[29,18])).
% 121.96/122.03 cnf(58,plain,
% 121.96/122.03 (E(f6(f5(a2),f5(a2)),f5(f3(a2,a2)))),
% 121.96/122.03 inference(scs_inference,[],[15,13,33,34,42,29,18,2,3,20,23])).
% 121.96/122.03 cnf(67,plain,
% 121.96/122.03 (E(f5(f3(a1,a1)),f6(f5(a1),f5(a1)))),
% 121.96/122.03 inference(scs_inference,[],[44,2])).
% 121.96/122.03 cnf(68,plain,
% 121.96/122.03 (~E(x681,a2)+~E(f3(a2,a2),x681)),
% 121.96/122.03 inference(scs_inference,[],[15,44,2,3])).
% 121.96/122.03 cnf(70,plain,
% 121.96/122.03 (E(f3(x701,a1),f3(x701,f3(a1,a1)))),
% 121.96/122.03 inference(scs_inference,[],[25,5])).
% 121.96/122.03 cnf(71,plain,
% 121.96/122.03 (E(f3(a1,f3(a1,a1)),a1)),
% 121.96/122.03 inference(scs_inference,[],[25,14,37,5,3])).
% 121.96/122.03 cnf(73,plain,
% 121.96/122.03 (E(a1,f3(a1,f3(a1,a1)))),
% 121.96/122.03 inference(scs_inference,[],[25,70,3])).
% 121.96/122.03 cnf(79,plain,
% 121.96/122.03 (P2(f5(f3(a1,a1)))),
% 121.96/122.03 inference(scs_inference,[],[26,25,70,40,3,16,19,17])).
% 121.96/122.03 cnf(81,plain,
% 121.96/122.03 (E(f6(x811,a1),f6(x811,f3(a1,a1)))),
% 121.96/122.03 inference(scs_inference,[],[26,25,70,40,3,16,19,17,9])).
% 121.96/122.03 cnf(82,plain,
% 121.96/122.03 (E(f6(a1,x821),f6(f3(a1,a1),x821))),
% 121.96/122.03 inference(scs_inference,[],[26,25,70,40,3,16,19,17,9,8])).
% 121.96/122.03 cnf(84,plain,
% 121.96/122.03 (E(f5(a1),f5(f3(a1,a1)))),
% 121.96/122.03 inference(scs_inference,[],[26,25,70,40,3,16,19,17,9,8,6,7])).
% 121.96/122.03 cnf(85,plain,
% 121.96/122.03 (E(f3(a1,x851),f3(f3(a1,a1),x851))),
% 121.96/122.03 inference(scs_inference,[],[26,25,70,40,3,16,19,17,9,8,6,7,4])).
% 121.96/122.03 cnf(86,plain,
% 121.96/122.03 (P1(f3(f3(a1,a1),a1))),
% 121.96/122.03 inference(scs_inference,[],[26,85,10])).
% 121.96/122.03 cnf(88,plain,
% 121.96/122.03 (P1(f3(f3(a1,a1),f3(a1,a1)))),
% 121.96/122.03 inference(scs_inference,[],[26,85,10,20])).
% 121.96/122.03 cnf(95,plain,
% 121.96/122.03 (E(a1,f4(f5(a1)))),
% 121.96/122.03 inference(scs_inference,[],[27,2])).
% 121.96/122.03 cnf(101,plain,
% 121.96/122.03 (E(f5(f3(a2,a2)),f6(f5(a2),f5(a2)))),
% 121.96/122.03 inference(scs_inference,[],[58,67,84,3,2])).
% 121.96/122.03 cnf(104,plain,
% 121.96/122.03 (E(f4(f5(f3(a2,a2))),f3(a2,a2))),
% 121.96/122.03 inference(scs_inference,[],[79,42,16,19])).
% 121.96/122.03 cnf(112,plain,
% 121.96/122.03 (E(f5(a1),f5(f3(a1,f3(a1,a1))))),
% 121.96/122.03 inference(scs_inference,[],[27,88,79,73,42,16,19,17,9,8,6,4,7])).
% 121.96/122.03 cnf(119,plain,
% 121.96/122.03 (E(a1,f3(f3(a1,a1),a1))),
% 121.96/122.03 inference(scs_inference,[],[25,50,112,85,39,2,3])).
% 121.96/122.03 cnf(121,plain,
% 121.96/122.03 (E(f3(x1211,a1),f3(x1211,f4(f5(a1))))),
% 121.96/122.03 inference(scs_inference,[],[25,50,112,95,85,39,2,3,5])).
% 121.96/122.03 cnf(124,plain,
% 121.96/122.03 (E(f6(a1,a1),f6(f3(a1,a1),f3(a1,a1)))),
% 121.96/122.03 inference(scs_inference,[],[26,81,82,121,10,3])).
% 121.96/122.03 cnf(132,plain,
% 121.96/122.03 (E(f4(f5(a2)),a2)),
% 121.96/122.03 inference(scs_inference,[],[27,119,13,3,19])).
% 121.96/122.03 cnf(136,plain,
% 121.96/122.03 (E(f6(f3(a1,f3(a1,a1)),x1361),f6(a1,x1361))),
% 121.96/122.03 inference(scs_inference,[],[27,86,71,119,13,3,19,17,8])).
% 121.96/122.03 cnf(138,plain,
% 121.96/122.03 (E(f6(x1381,f3(a1,f3(a1,a1))),f6(x1381,a1))),
% 121.96/122.03 inference(scs_inference,[],[27,86,71,119,13,3,19,17,8,6,9])).
% 121.96/122.03 cnf(143,plain,
% 121.96/122.03 (~E(f3(a2,a2),f4(f5(a2)))),
% 121.96/122.03 inference(scs_inference,[],[132,68])).
% 121.96/122.03 cnf(144,plain,
% 121.96/122.03 (E(f6(f3(a1,f3(a1,a1)),f3(a1,a1)),f6(a1,a1))),
% 121.96/122.03 inference(scs_inference,[],[33,136,132,68,3])).
% 121.96/122.03 cnf(166,plain,
% 121.96/122.03 (E(f6(a1,a1),f6(f3(a1,f3(a1,a1)),f3(a1,a1)))),
% 121.96/122.03 inference(scs_inference,[],[144,121,86,10,2])).
% 121.96/122.03 cnf(167,plain,
% 121.96/122.03 (E(f6(f3(a1,f3(a1,a1)),f3(a1,a1)),f6(f3(a1,a1),f3(a1,a1)))),
% 121.96/122.03 inference(scs_inference,[],[144,124,121,86,10,2,3])).
% 121.96/122.03 cnf(169,plain,
% 121.96/122.03 (E(f6(f5(a1),f5(a1)),f5(a1))),
% 121.96/122.03 inference(scs_inference,[],[35,44,3])).
% 121.96/122.03 cnf(184,plain,
% 121.96/122.03 (E(f3(x1841,a1),f3(x1841,f3(a1,f3(a1,a1))))),
% 121.96/122.03 inference(scs_inference,[],[73,5])).
% 121.96/122.03 cnf(185,plain,
% 121.96/122.03 (~E(x1851,f4(f5(a2)))+~E(f3(a2,a2),x1851)),
% 121.96/122.03 inference(scs_inference,[],[143,73,5,3])).
% 121.96/122.03 cnf(191,plain,
% 121.96/122.03 (E(f6(f3(a1,f3(a1,a1)),f3(a1,a1)),f6(f3(a1,a1),a1))),
% 121.96/122.03 inference(scs_inference,[],[33,167,73,4,2,3])).
% 121.96/122.03 cnf(195,plain,
% 121.96/122.03 (E(f6(a1,f3(a1,a1)),f6(f3(a1,f3(a1,a1)),f3(a1,a1)))),
% 121.96/122.03 inference(scs_inference,[],[33,166,3])).
% 121.96/122.03 cnf(197,plain,
% 121.96/122.03 (E(f6(f3(a1,a1),a1),f6(f3(a1,f3(a1,a1)),f3(a1,a1)))),
% 121.96/122.03 inference(scs_inference,[],[33,166,191,3,2])).
% 121.96/122.03 cnf(198,plain,
% 121.96/122.03 (P1(f3(f3(a1,a1),f3(a1,f3(a1,a1))))),
% 121.96/122.03 inference(scs_inference,[],[184,86,10])).
% 121.96/122.03 cnf(200,plain,
% 121.96/122.03 (P2(f5(f3(a2,a2)))),
% 121.96/122.03 inference(scs_inference,[],[184,86,42,10,17])).
% 121.96/122.03 cnf(216,plain,
% 121.96/122.03 (E(f3(f4(f5(a2)),x2161),f3(a2,x2161))),
% 121.96/122.03 inference(scs_inference,[],[198,101,200,195,138,38,191,132,71,16,11,2,3,5,10,4])).
% 121.96/122.03 cnf(226,plain,
% 121.96/122.03 (P2(f5(a2))),
% 121.96/122.03 inference(scs_inference,[],[197,136,13,3,17])).
% 121.96/122.03 cnf(282,plain,
% 121.96/122.03 (~E(f4(f5(f3(a2,a2))),f4(f5(a2)))),
% 121.96/122.03 inference(scs_inference,[],[104,185,2])).
% 121.96/122.03 cnf(651,plain,
% 121.96/122.03 (E(f3(f4(f5(a2)),f3(a1,a1)),f3(a2,a1))),
% 121.96/122.03 inference(scs_inference,[],[216,37,3])).
% 121.96/122.03 cnf(669,plain,
% 121.96/122.03 (E(f5(f3(a2,a2)),f5(a2))),
% 121.96/122.03 inference(scs_inference,[],[226,101,651,169,29,22,2,3])).
% 121.96/122.03 cnf(1263,plain,
% 121.96/122.03 ($false),
% 121.96/122.03 inference(scs_inference,[],[282,669,6]),
% 121.96/122.03 ['proof']).
% 121.96/122.03 % SZS output end Proof
% 121.96/122.03 % Total time :121.330000s
%------------------------------------------------------------------------------