%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV558-1.010 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 : Sat Jun 21 05:35:35 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 130
% Syntax : Number of formulae : 436 ( 350 unt; 0 typ; 0 def)
% Number of atoms : 524 ( 522 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 131 ( 44 ~; 40 |; 0 &)
% ( 47 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 54 ( 54 usr; 52 con; 0-3 aty)
% Number of variables : 142 ( 140 !; 0 ?; 142 :)
% Comments :
%------------------------------------------------------------------------------
tff(a2_type,type,
a2: $i ).
tff(a1_type,type,
a1: $i ).
tff(store_type,type,
store: ( $i * $i * $i ) > $i ).
tff(select_type,type,
select: ( $i * $i ) > $i ).
tff(i1_type,type,
i1: $i ).
tff(e_42_type,type,
e_42: $i ).
tff(i2_type,type,
i2: $i ).
tff(e_46_type,type,
e_46: $i ).
tff(a_43_type,type,
a_43: $i ).
tff(a_41_type,type,
a_41: $i ).
tff(e_40_type,type,
e_40: $i ).
tff(e_44_type,type,
e_44: $i ).
tff(i3_type,type,
i3: $i ).
tff(e_48_type,type,
e_48: $i ).
tff(a_45_type,type,
a_45: $i ).
tff(a_47_type,type,
a_47: $i ).
tff(e_50_type,type,
e_50: $i ).
tff(i4_type,type,
i4: $i ).
tff(e_54_type,type,
e_54: $i ).
tff(a_51_type,type,
a_51: $i ).
tff(a_49_type,type,
a_49: $i ).
tff(e_52_type,type,
e_52: $i ).
tff(i5_type,type,
i5: $i ).
tff(e_56_type,type,
e_56: $i ).
tff(a_53_type,type,
a_53: $i ).
tff(a_55_type,type,
a_55: $i ).
tff(e_58_type,type,
e_58: $i ).
tff(i6_type,type,
i6: $i ).
tff(e_62_type,type,
e_62: $i ).
tff(a_59_type,type,
a_59: $i ).
tff(a_57_type,type,
a_57: $i ).
tff(e_60_type,type,
e_60: $i ).
tff(i7_type,type,
i7: $i ).
tff(e_64_type,type,
e_64: $i ).
tff(a_61_type,type,
a_61: $i ).
tff(a_63_type,type,
a_63: $i ).
tff(e_66_type,type,
e_66: $i ).
tff(i8_type,type,
i8: $i ).
tff(e_70_type,type,
e_70: $i ).
tff(a_67_type,type,
a_67: $i ).
tff(a_65_type,type,
a_65: $i ).
tff(e_68_type,type,
e_68: $i ).
tff(i9_type,type,
i9: $i ).
tff(e_72_type,type,
e_72: $i ).
tff(a_69_type,type,
a_69: $i ).
tff(a_71_type,type,
a_71: $i ).
tff(e_74_type,type,
e_74: $i ).
tff(i10_type,type,
i10: $i ).
tff(e_78_type,type,
e_78: $i ).
tff(a_75_type,type,
a_75: $i ).
tff(a_73_type,type,
a_73: $i ).
tff(e_76_type,type,
e_76: $i ).
tff(a_77_type,type,
a_77: $i ).
tff(a_79_type,type,
a_79: $i ).
tff(1,plain,
^ [I: $i,A: $i] :
refl(( ( store(A,I,select(A,I)) = A )
<=> ( store(A,I,select(A,I)) = A ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
<=> ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
<=> ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
tff(5,plain,
! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(a2,i1,select(a2,i1)) = a2 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(9,plain,
store(a2,i1,select(a2,i1)) = a2,
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
( ( e_42 = select(a1,i1) )
<=> ( e_42 = select(a1,i1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,axiom,
e_42 = select(a1,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
tff(12,plain,
e_42 = select(a1,i1),
inference(modus_ponens,[status(thm)],[11,10]) ).
tff(13,plain,
select(a1,i1) = e_42,
inference(symmetry,[status(thm)],[12]) ).
tff(14,plain,
( ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
<=> ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,plain,
( ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
<=> ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ) ),
inference(rewrite,[status(thm)],[]) ).
tff(16,axiom,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
tff(17,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(modus_ponens,[status(thm)],[16,15]) ).
tff(18,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(skolemize,[status(sab)],[17]) ).
tff(19,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(modus_ponens,[status(thm)],[18,14]) ).
tff(20,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(a2,i1,select(a1,i1)),i1) = select(a1,i1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(21,plain,
select(store(a2,i1,select(a1,i1)),i1) = select(a1,i1),
inference(unit_resolution,[status(thm)],[20,19]) ).
tff(22,plain,
store(a2,i1,select(a1,i1)) = store(a2,i1,e_42),
inference(monotonicity,[status(thm)],[13]) ).
tff(23,plain,
store(a2,i1,e_42) = store(a2,i1,select(a1,i1)),
inference(symmetry,[status(thm)],[22]) ).
tff(24,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a2,i1,e_42),i2,select(store(a2,i1,e_42),i2)) = store(a2,i1,e_42) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(25,plain,
store(store(a2,i1,e_42),i2,select(store(a2,i1,e_42),i2)) = store(a2,i1,e_42),
inference(unit_resolution,[status(thm)],[24,7]) ).
tff(26,plain,
( ( e_46 = select(a_41,i2) )
<=> ( e_46 = select(a_41,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,axiom,
e_46 = select(a_41,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
tff(28,plain,
e_46 = select(a_41,i2),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
select(a_41,i2) = e_46,
inference(symmetry,[status(thm)],[28]) ).
tff(30,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a2,i1,e_42),i2,select(a_41,i2)),i2) = select(a_41,i2) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(31,plain,
select(store(store(a2,i1,e_42),i2,select(a_41,i2)),i2) = select(a_41,i2),
inference(unit_resolution,[status(thm)],[30,19]) ).
tff(32,plain,
( ( e_44 = select(a_43,i2) )
<=> ( e_44 = select(a_43,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(33,axiom,
e_44 = select(a_43,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
tff(34,plain,
e_44 = select(a_43,i2),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
select(a_43,i2) = e_44,
inference(symmetry,[status(thm)],[34]) ).
tff(36,plain,
( ( a_41 = store(a1,i1,e_40) )
<=> ( a_41 = store(a1,i1,e_40) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(37,axiom,
a_41 = store(a1,i1,e_40),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
tff(38,plain,
a_41 = store(a1,i1,e_40),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
store(a1,i1,e_40) = a_41,
inference(symmetry,[status(thm)],[38]) ).
tff(40,plain,
store(store(a1,i1,e_40),i2,select(a_43,i2)) = store(a_41,i2,e_44),
inference(monotonicity,[status(thm)],[39,35]) ).
tff(41,plain,
store(a_41,i2,e_44) = store(store(a1,i1,e_40),i2,select(a_43,i2)),
inference(symmetry,[status(thm)],[40]) ).
tff(42,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_41,i2,e_44),i3,select(store(a_41,i2,e_44),i3)) = store(a_41,i2,e_44) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(43,plain,
store(store(a_41,i2,e_44),i3,select(store(a_41,i2,e_44),i3)) = store(a_41,i2,e_44),
inference(unit_resolution,[status(thm)],[42,7]) ).
tff(44,plain,
( ( e_48 = select(a_47,i3) )
<=> ( e_48 = select(a_47,i3) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(45,axiom,
e_48 = select(a_47,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
tff(46,plain,
e_48 = select(a_47,i3),
inference(modus_ponens,[status(thm)],[45,44]) ).
tff(47,plain,
select(a_47,i3) = e_48,
inference(symmetry,[status(thm)],[46]) ).
tff(48,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_41,i2,e_44),i3,select(a_47,i3)),i3) = select(a_47,i3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(49,plain,
select(store(store(a_41,i2,e_44),i3,select(a_47,i3)),i3) = select(a_47,i3),
inference(unit_resolution,[status(thm)],[48,19]) ).
tff(50,plain,
( ( e_50 = select(a_45,i3) )
<=> ( e_50 = select(a_45,i3) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(51,axiom,
e_50 = select(a_45,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
tff(52,plain,
e_50 = select(a_45,i3),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
select(a_45,i3) = e_50,
inference(symmetry,[status(thm)],[52]) ).
tff(54,plain,
( ( a_47 = store(a_43,i2,e_46) )
<=> ( a_47 = store(a_43,i2,e_46) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(55,axiom,
a_47 = store(a_43,i2,e_46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
tff(56,plain,
a_47 = store(a_43,i2,e_46),
inference(modus_ponens,[status(thm)],[55,54]) ).
tff(57,plain,
store(a_43,i2,e_46) = a_47,
inference(symmetry,[status(thm)],[56]) ).
tff(58,plain,
store(store(a_43,i2,e_46),i3,select(a_45,i3)) = store(a_47,i3,e_50),
inference(monotonicity,[status(thm)],[57,53]) ).
tff(59,plain,
store(a_47,i3,e_50) = store(store(a_43,i2,e_46),i3,select(a_45,i3)),
inference(symmetry,[status(thm)],[58]) ).
tff(60,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_47,i3,e_50),i4,select(store(a_47,i3,e_50),i4)) = store(a_47,i3,e_50) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(61,plain,
store(store(a_47,i3,e_50),i4,select(store(a_47,i3,e_50),i4)) = store(a_47,i3,e_50),
inference(unit_resolution,[status(thm)],[60,7]) ).
tff(62,plain,
( ( e_54 = select(a_49,i4) )
<=> ( e_54 = select(a_49,i4) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(63,axiom,
e_54 = select(a_49,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).
tff(64,plain,
e_54 = select(a_49,i4),
inference(modus_ponens,[status(thm)],[63,62]) ).
tff(65,plain,
select(a_49,i4) = e_54,
inference(symmetry,[status(thm)],[64]) ).
tff(66,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_47,i3,e_50),i4,select(a_49,i4)),i4) = select(a_49,i4) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(67,plain,
select(store(store(a_47,i3,e_50),i4,select(a_49,i4)),i4) = select(a_49,i4),
inference(unit_resolution,[status(thm)],[66,19]) ).
tff(68,plain,
( ( e_52 = select(a_51,i4) )
<=> ( e_52 = select(a_51,i4) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(69,axiom,
e_52 = select(a_51,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
tff(70,plain,
e_52 = select(a_51,i4),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
select(a_51,i4) = e_52,
inference(symmetry,[status(thm)],[70]) ).
tff(72,plain,
( ( a_49 = store(a_45,i3,e_48) )
<=> ( a_49 = store(a_45,i3,e_48) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(73,axiom,
a_49 = store(a_45,i3,e_48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
tff(74,plain,
a_49 = store(a_45,i3,e_48),
inference(modus_ponens,[status(thm)],[73,72]) ).
tff(75,plain,
store(a_45,i3,e_48) = a_49,
inference(symmetry,[status(thm)],[74]) ).
tff(76,plain,
store(store(a_45,i3,e_48),i4,select(a_51,i4)) = store(a_49,i4,e_52),
inference(monotonicity,[status(thm)],[75,71]) ).
tff(77,plain,
store(a_49,i4,e_52) = store(store(a_45,i3,e_48),i4,select(a_51,i4)),
inference(symmetry,[status(thm)],[76]) ).
tff(78,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_49,i4,e_52),i5,select(store(a_49,i4,e_52),i5)) = store(a_49,i4,e_52) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(79,plain,
store(store(a_49,i4,e_52),i5,select(store(a_49,i4,e_52),i5)) = store(a_49,i4,e_52),
inference(unit_resolution,[status(thm)],[78,7]) ).
tff(80,plain,
( ( e_56 = select(a_55,i5) )
<=> ( e_56 = select(a_55,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(81,axiom,
e_56 = select(a_55,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).
tff(82,plain,
e_56 = select(a_55,i5),
inference(modus_ponens,[status(thm)],[81,80]) ).
tff(83,plain,
select(a_55,i5) = e_56,
inference(symmetry,[status(thm)],[82]) ).
tff(84,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_49,i4,e_52),i5,select(a_55,i5)),i5) = select(a_55,i5) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(85,plain,
select(store(store(a_49,i4,e_52),i5,select(a_55,i5)),i5) = select(a_55,i5),
inference(unit_resolution,[status(thm)],[84,19]) ).
tff(86,plain,
( ( e_58 = select(a_53,i5) )
<=> ( e_58 = select(a_53,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(87,axiom,
e_58 = select(a_53,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp29) ).
tff(88,plain,
e_58 = select(a_53,i5),
inference(modus_ponens,[status(thm)],[87,86]) ).
tff(89,plain,
select(a_53,i5) = e_58,
inference(symmetry,[status(thm)],[88]) ).
tff(90,plain,
( ( a_55 = store(a_51,i4,e_54) )
<=> ( a_55 = store(a_51,i4,e_54) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(91,axiom,
a_55 = store(a_51,i4,e_54),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
tff(92,plain,
a_55 = store(a_51,i4,e_54),
inference(modus_ponens,[status(thm)],[91,90]) ).
tff(93,plain,
store(a_51,i4,e_54) = a_55,
inference(symmetry,[status(thm)],[92]) ).
tff(94,plain,
store(store(a_51,i4,e_54),i5,select(a_53,i5)) = store(a_55,i5,e_58),
inference(monotonicity,[status(thm)],[93,89]) ).
tff(95,plain,
store(a_55,i5,e_58) = store(store(a_51,i4,e_54),i5,select(a_53,i5)),
inference(symmetry,[status(thm)],[94]) ).
tff(96,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_55,i5,e_58),i6,select(store(a_55,i5,e_58),i6)) = store(a_55,i5,e_58) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(97,plain,
store(store(a_55,i5,e_58),i6,select(store(a_55,i5,e_58),i6)) = store(a_55,i5,e_58),
inference(unit_resolution,[status(thm)],[96,7]) ).
tff(98,plain,
( ( e_62 = select(a_57,i6) )
<=> ( e_62 = select(a_57,i6) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(99,axiom,
e_62 = select(a_57,i6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp31) ).
tff(100,plain,
e_62 = select(a_57,i6),
inference(modus_ponens,[status(thm)],[99,98]) ).
tff(101,plain,
select(a_57,i6) = e_62,
inference(symmetry,[status(thm)],[100]) ).
tff(102,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_55,i5,e_58),i6,select(a_57,i6)),i6) = select(a_57,i6) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(103,plain,
select(store(store(a_55,i5,e_58),i6,select(a_57,i6)),i6) = select(a_57,i6),
inference(unit_resolution,[status(thm)],[102,19]) ).
tff(104,plain,
( ( e_60 = select(a_59,i6) )
<=> ( e_60 = select(a_59,i6) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(105,axiom,
e_60 = select(a_59,i6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp30) ).
tff(106,plain,
e_60 = select(a_59,i6),
inference(modus_ponens,[status(thm)],[105,104]) ).
tff(107,plain,
select(a_59,i6) = e_60,
inference(symmetry,[status(thm)],[106]) ).
tff(108,plain,
( ( a_57 = store(a_53,i5,e_56) )
<=> ( a_57 = store(a_53,i5,e_56) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(109,axiom,
a_57 = store(a_53,i5,e_56),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
tff(110,plain,
a_57 = store(a_53,i5,e_56),
inference(modus_ponens,[status(thm)],[109,108]) ).
tff(111,plain,
store(a_53,i5,e_56) = a_57,
inference(symmetry,[status(thm)],[110]) ).
tff(112,plain,
store(store(a_53,i5,e_56),i6,select(a_59,i6)) = store(a_57,i6,e_60),
inference(monotonicity,[status(thm)],[111,107]) ).
tff(113,plain,
store(a_57,i6,e_60) = store(store(a_53,i5,e_56),i6,select(a_59,i6)),
inference(symmetry,[status(thm)],[112]) ).
tff(114,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_57,i6,e_60),i7,select(store(a_57,i6,e_60),i7)) = store(a_57,i6,e_60) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(115,plain,
store(store(a_57,i6,e_60),i7,select(store(a_57,i6,e_60),i7)) = store(a_57,i6,e_60),
inference(unit_resolution,[status(thm)],[114,7]) ).
tff(116,plain,
( ( e_64 = select(a_63,i7) )
<=> ( e_64 = select(a_63,i7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(117,axiom,
e_64 = select(a_63,i7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp32) ).
tff(118,plain,
e_64 = select(a_63,i7),
inference(modus_ponens,[status(thm)],[117,116]) ).
tff(119,plain,
select(a_63,i7) = e_64,
inference(symmetry,[status(thm)],[118]) ).
tff(120,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_57,i6,e_60),i7,select(a_63,i7)),i7) = select(a_63,i7) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(121,plain,
select(store(store(a_57,i6,e_60),i7,select(a_63,i7)),i7) = select(a_63,i7),
inference(unit_resolution,[status(thm)],[120,19]) ).
tff(122,plain,
( ( e_66 = select(a_61,i7) )
<=> ( e_66 = select(a_61,i7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(123,axiom,
e_66 = select(a_61,i7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp33) ).
tff(124,plain,
e_66 = select(a_61,i7),
inference(modus_ponens,[status(thm)],[123,122]) ).
tff(125,plain,
select(a_61,i7) = e_66,
inference(symmetry,[status(thm)],[124]) ).
tff(126,plain,
( ( a_63 = store(a_59,i6,e_62) )
<=> ( a_63 = store(a_59,i6,e_62) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(127,axiom,
a_63 = store(a_59,i6,e_62),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
tff(128,plain,
a_63 = store(a_59,i6,e_62),
inference(modus_ponens,[status(thm)],[127,126]) ).
tff(129,plain,
store(a_59,i6,e_62) = a_63,
inference(symmetry,[status(thm)],[128]) ).
tff(130,plain,
store(store(a_59,i6,e_62),i7,select(a_61,i7)) = store(a_63,i7,e_66),
inference(monotonicity,[status(thm)],[129,125]) ).
tff(131,plain,
store(a_63,i7,e_66) = store(store(a_59,i6,e_62),i7,select(a_61,i7)),
inference(symmetry,[status(thm)],[130]) ).
tff(132,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_63,i7,e_66),i8,select(store(a_63,i7,e_66),i8)) = store(a_63,i7,e_66) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(133,plain,
store(store(a_63,i7,e_66),i8,select(store(a_63,i7,e_66),i8)) = store(a_63,i7,e_66),
inference(unit_resolution,[status(thm)],[132,7]) ).
tff(134,plain,
( ( e_70 = select(a_65,i8) )
<=> ( e_70 = select(a_65,i8) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(135,axiom,
e_70 = select(a_65,i8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp35) ).
tff(136,plain,
e_70 = select(a_65,i8),
inference(modus_ponens,[status(thm)],[135,134]) ).
tff(137,plain,
select(a_65,i8) = e_70,
inference(symmetry,[status(thm)],[136]) ).
tff(138,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_63,i7,e_66),i8,select(a_65,i8)),i8) = select(a_65,i8) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(139,plain,
select(store(store(a_63,i7,e_66),i8,select(a_65,i8)),i8) = select(a_65,i8),
inference(unit_resolution,[status(thm)],[138,19]) ).
tff(140,plain,
( ( e_68 = select(a_67,i8) )
<=> ( e_68 = select(a_67,i8) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(141,axiom,
e_68 = select(a_67,i8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp34) ).
tff(142,plain,
e_68 = select(a_67,i8),
inference(modus_ponens,[status(thm)],[141,140]) ).
tff(143,plain,
select(a_67,i8) = e_68,
inference(symmetry,[status(thm)],[142]) ).
tff(144,plain,
( ( a_65 = store(a_61,i7,e_64) )
<=> ( a_65 = store(a_61,i7,e_64) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(145,axiom,
a_65 = store(a_61,i7,e_64),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
tff(146,plain,
a_65 = store(a_61,i7,e_64),
inference(modus_ponens,[status(thm)],[145,144]) ).
tff(147,plain,
store(a_61,i7,e_64) = a_65,
inference(symmetry,[status(thm)],[146]) ).
tff(148,plain,
store(store(a_61,i7,e_64),i8,select(a_67,i8)) = store(a_65,i8,e_68),
inference(monotonicity,[status(thm)],[147,143]) ).
tff(149,plain,
store(a_65,i8,e_68) = store(store(a_61,i7,e_64),i8,select(a_67,i8)),
inference(symmetry,[status(thm)],[148]) ).
tff(150,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_65,i8,e_68),i9,select(store(a_65,i8,e_68),i9)) = store(a_65,i8,e_68) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(151,plain,
store(store(a_65,i8,e_68),i9,select(store(a_65,i8,e_68),i9)) = store(a_65,i8,e_68),
inference(unit_resolution,[status(thm)],[150,7]) ).
tff(152,plain,
( ( e_72 = select(a_71,i9) )
<=> ( e_72 = select(a_71,i9) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(153,axiom,
e_72 = select(a_71,i9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp36) ).
tff(154,plain,
e_72 = select(a_71,i9),
inference(modus_ponens,[status(thm)],[153,152]) ).
tff(155,plain,
select(a_71,i9) = e_72,
inference(symmetry,[status(thm)],[154]) ).
tff(156,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_65,i8,e_68),i9,select(a_71,i9)),i9) = select(a_71,i9) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(157,plain,
select(store(store(a_65,i8,e_68),i9,select(a_71,i9)),i9) = select(a_71,i9),
inference(unit_resolution,[status(thm)],[156,19]) ).
tff(158,plain,
( ( e_74 = select(a_69,i9) )
<=> ( e_74 = select(a_69,i9) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(159,axiom,
e_74 = select(a_69,i9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp37) ).
tff(160,plain,
e_74 = select(a_69,i9),
inference(modus_ponens,[status(thm)],[159,158]) ).
tff(161,plain,
select(a_69,i9) = e_74,
inference(symmetry,[status(thm)],[160]) ).
tff(162,plain,
( ( a_71 = store(a_67,i8,e_70) )
<=> ( a_71 = store(a_67,i8,e_70) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(163,axiom,
a_71 = store(a_67,i8,e_70),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
tff(164,plain,
a_71 = store(a_67,i8,e_70),
inference(modus_ponens,[status(thm)],[163,162]) ).
tff(165,plain,
store(a_67,i8,e_70) = a_71,
inference(symmetry,[status(thm)],[164]) ).
tff(166,plain,
store(store(a_67,i8,e_70),i9,select(a_69,i9)) = store(a_71,i9,e_74),
inference(monotonicity,[status(thm)],[165,161]) ).
tff(167,plain,
store(a_71,i9,e_74) = store(store(a_67,i8,e_70),i9,select(a_69,i9)),
inference(symmetry,[status(thm)],[166]) ).
tff(168,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_71,i9,e_74),i10,select(store(a_71,i9,e_74),i10)) = store(a_71,i9,e_74) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(169,plain,
store(store(a_71,i9,e_74),i10,select(store(a_71,i9,e_74),i10)) = store(a_71,i9,e_74),
inference(unit_resolution,[status(thm)],[168,7]) ).
tff(170,plain,
( ( e_78 = select(a_73,i10) )
<=> ( e_78 = select(a_73,i10) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(171,axiom,
e_78 = select(a_73,i10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp39) ).
tff(172,plain,
e_78 = select(a_73,i10),
inference(modus_ponens,[status(thm)],[171,170]) ).
tff(173,plain,
select(a_73,i10) = e_78,
inference(symmetry,[status(thm)],[172]) ).
tff(174,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_71,i9,e_74),i10,select(a_73,i10)),i10) = select(a_73,i10) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(175,plain,
select(store(store(a_71,i9,e_74),i10,select(a_73,i10)),i10) = select(a_73,i10),
inference(unit_resolution,[status(thm)],[174,19]) ).
tff(176,plain,
( ( e_76 = select(a_75,i10) )
<=> ( e_76 = select(a_75,i10) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(177,axiom,
e_76 = select(a_75,i10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp38) ).
tff(178,plain,
e_76 = select(a_75,i10),
inference(modus_ponens,[status(thm)],[177,176]) ).
tff(179,plain,
select(a_75,i10) = e_76,
inference(symmetry,[status(thm)],[178]) ).
tff(180,plain,
( ( a_73 = store(a_69,i9,e_72) )
<=> ( a_73 = store(a_69,i9,e_72) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(181,axiom,
a_73 = store(a_69,i9,e_72),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
tff(182,plain,
a_73 = store(a_69,i9,e_72),
inference(modus_ponens,[status(thm)],[181,180]) ).
tff(183,plain,
store(a_69,i9,e_72) = a_73,
inference(symmetry,[status(thm)],[182]) ).
tff(184,plain,
store(store(a_69,i9,e_72),i10,select(a_75,i10)) = store(a_73,i10,e_76),
inference(monotonicity,[status(thm)],[183,179]) ).
tff(185,plain,
store(a_73,i10,e_76) = store(store(a_69,i9,e_72),i10,select(a_75,i10)),
inference(symmetry,[status(thm)],[184]) ).
tff(186,plain,
( ( a_77 = store(a_73,i10,e_76) )
<=> ( a_77 = store(a_73,i10,e_76) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(187,axiom,
a_77 = store(a_73,i10,e_76),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
tff(188,plain,
a_77 = store(a_73,i10,e_76),
inference(modus_ponens,[status(thm)],[187,186]) ).
tff(189,plain,
( ( a_77 = a_79 )
<=> ( a_77 = a_79 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(190,axiom,
a_77 = a_79,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp40) ).
tff(191,plain,
a_77 = a_79,
inference(modus_ponens,[status(thm)],[190,189]) ).
tff(192,plain,
a_79 = a_77,
inference(symmetry,[status(thm)],[191]) ).
tff(193,plain,
( ( a_79 = store(a_75,i10,e_78) )
<=> ( a_79 = store(a_75,i10,e_78) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(194,axiom,
a_79 = store(a_75,i10,e_78),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
tff(195,plain,
a_79 = store(a_75,i10,e_78),
inference(modus_ponens,[status(thm)],[194,193]) ).
tff(196,plain,
store(a_75,i10,e_78) = a_79,
inference(symmetry,[status(thm)],[195]) ).
tff(197,plain,
( ( a_75 = store(a_71,i9,e_74) )
<=> ( a_75 = store(a_71,i9,e_74) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(198,axiom,
a_75 = store(a_71,i9,e_74),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
tff(199,plain,
a_75 = store(a_71,i9,e_74),
inference(modus_ponens,[status(thm)],[198,197]) ).
tff(200,plain,
store(a_71,i9,e_74) = a_75,
inference(symmetry,[status(thm)],[199]) ).
tff(201,plain,
store(store(a_71,i9,e_74),i10,select(a_73,i10)) = store(a_75,i10,e_78),
inference(monotonicity,[status(thm)],[200,173]) ).
tff(202,plain,
store(store(a_71,i9,e_74),i10,select(a_73,i10)) = store(store(a_69,i9,e_72),i10,select(a_75,i10)),
inference(transitivity,[status(thm)],[201,196,192,188,185]) ).
tff(203,plain,
select(store(store(a_71,i9,e_74),i10,select(a_73,i10)),i10) = select(store(store(a_69,i9,e_72),i10,select(a_75,i10)),i10),
inference(monotonicity,[status(thm)],[202]) ).
tff(204,plain,
select(store(store(a_69,i9,e_72),i10,select(a_75,i10)),i10) = select(store(store(a_71,i9,e_74),i10,select(a_73,i10)),i10),
inference(symmetry,[status(thm)],[203]) ).
tff(205,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_69,i9,e_72),i10,select(a_75,i10)),i10) = select(a_75,i10) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(206,plain,
select(store(store(a_69,i9,e_72),i10,select(a_75,i10)),i10) = select(a_75,i10),
inference(unit_resolution,[status(thm)],[205,19]) ).
tff(207,plain,
select(a_75,i10) = select(store(store(a_69,i9,e_72),i10,select(a_75,i10)),i10),
inference(symmetry,[status(thm)],[206]) ).
tff(208,plain,
select(store(a_71,i9,e_74),i10) = select(a_75,i10),
inference(monotonicity,[status(thm)],[200]) ).
tff(209,plain,
select(store(a_71,i9,e_74),i10) = e_78,
inference(transitivity,[status(thm)],[208,207,204,175,173]) ).
tff(210,plain,
store(store(a_71,i9,e_74),i10,select(store(a_71,i9,e_74),i10)) = store(a_75,i10,e_78),
inference(monotonicity,[status(thm)],[200,209]) ).
tff(211,plain,
store(a_75,i10,e_78) = store(store(a_71,i9,e_74),i10,select(store(a_71,i9,e_74),i10)),
inference(symmetry,[status(thm)],[210]) ).
tff(212,plain,
store(a_73,i10,e_76) = a_77,
inference(symmetry,[status(thm)],[188]) ).
tff(213,plain,
select(a_73,i10) = select(store(store(a_71,i9,e_74),i10,select(a_73,i10)),i10),
inference(symmetry,[status(thm)],[175]) ).
tff(214,plain,
select(store(a_69,i9,e_72),i10) = select(a_73,i10),
inference(monotonicity,[status(thm)],[183]) ).
tff(215,plain,
select(store(a_69,i9,e_72),i10) = e_76,
inference(transitivity,[status(thm)],[214,213,203,206,179]) ).
tff(216,plain,
store(store(a_69,i9,e_72),i10,select(store(a_69,i9,e_72),i10)) = store(a_73,i10,e_76),
inference(monotonicity,[status(thm)],[183,215]) ).
tff(217,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_69,i9,e_72),i10,select(store(a_69,i9,e_72),i10)) = store(a_69,i9,e_72) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(218,plain,
store(store(a_69,i9,e_72),i10,select(store(a_69,i9,e_72),i10)) = store(a_69,i9,e_72),
inference(unit_resolution,[status(thm)],[217,7]) ).
tff(219,plain,
store(a_69,i9,e_72) = store(store(a_69,i9,e_72),i10,select(store(a_69,i9,e_72),i10)),
inference(symmetry,[status(thm)],[218]) ).
tff(220,plain,
( ( a_69 = store(a_65,i8,e_68) )
<=> ( a_69 = store(a_65,i8,e_68) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(221,axiom,
a_69 = store(a_65,i8,e_68),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
tff(222,plain,
a_69 = store(a_65,i8,e_68),
inference(modus_ponens,[status(thm)],[221,220]) ).
tff(223,plain,
store(a_65,i8,e_68) = a_69,
inference(symmetry,[status(thm)],[222]) ).
tff(224,plain,
store(store(a_65,i8,e_68),i9,select(a_71,i9)) = store(a_69,i9,e_72),
inference(monotonicity,[status(thm)],[223,155]) ).
tff(225,plain,
store(store(a_65,i8,e_68),i9,select(a_71,i9)) = store(store(a_67,i8,e_70),i9,select(a_69,i9)),
inference(transitivity,[status(thm)],[224,219,216,212,191,195,211,169,167]) ).
tff(226,plain,
select(store(store(a_65,i8,e_68),i9,select(a_71,i9)),i9) = select(store(store(a_67,i8,e_70),i9,select(a_69,i9)),i9),
inference(monotonicity,[status(thm)],[225]) ).
tff(227,plain,
select(store(store(a_67,i8,e_70),i9,select(a_69,i9)),i9) = select(store(store(a_65,i8,e_68),i9,select(a_71,i9)),i9),
inference(symmetry,[status(thm)],[226]) ).
tff(228,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_67,i8,e_70),i9,select(a_69,i9)),i9) = select(a_69,i9) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(229,plain,
select(store(store(a_67,i8,e_70),i9,select(a_69,i9)),i9) = select(a_69,i9),
inference(unit_resolution,[status(thm)],[228,19]) ).
tff(230,plain,
select(a_69,i9) = select(store(store(a_67,i8,e_70),i9,select(a_69,i9)),i9),
inference(symmetry,[status(thm)],[229]) ).
tff(231,plain,
select(store(a_65,i8,e_68),i9) = select(a_69,i9),
inference(monotonicity,[status(thm)],[223]) ).
tff(232,plain,
select(store(a_65,i8,e_68),i9) = e_72,
inference(transitivity,[status(thm)],[231,230,227,157,155]) ).
tff(233,plain,
store(store(a_65,i8,e_68),i9,select(store(a_65,i8,e_68),i9)) = store(a_69,i9,e_72),
inference(monotonicity,[status(thm)],[223,232]) ).
tff(234,plain,
store(a_69,i9,e_72) = store(store(a_65,i8,e_68),i9,select(store(a_65,i8,e_68),i9)),
inference(symmetry,[status(thm)],[233]) ).
tff(235,plain,
store(a_73,i10,e_76) = store(store(a_69,i9,e_72),i10,select(store(a_69,i9,e_72),i10)),
inference(symmetry,[status(thm)],[216]) ).
tff(236,plain,
store(a_71,i9,e_74) = store(store(a_71,i9,e_74),i10,select(store(a_71,i9,e_74),i10)),
inference(symmetry,[status(thm)],[169]) ).
tff(237,plain,
select(a_71,i9) = select(store(store(a_65,i8,e_68),i9,select(a_71,i9)),i9),
inference(symmetry,[status(thm)],[157]) ).
tff(238,plain,
select(store(a_67,i8,e_70),i9) = select(a_71,i9),
inference(monotonicity,[status(thm)],[165]) ).
tff(239,plain,
select(store(a_67,i8,e_70),i9) = e_74,
inference(transitivity,[status(thm)],[238,237,226,229,161]) ).
tff(240,plain,
store(store(a_67,i8,e_70),i9,select(store(a_67,i8,e_70),i9)) = store(a_71,i9,e_74),
inference(monotonicity,[status(thm)],[165,239]) ).
tff(241,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_67,i8,e_70),i9,select(store(a_67,i8,e_70),i9)) = store(a_67,i8,e_70) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(242,plain,
store(store(a_67,i8,e_70),i9,select(store(a_67,i8,e_70),i9)) = store(a_67,i8,e_70),
inference(unit_resolution,[status(thm)],[241,7]) ).
tff(243,plain,
store(a_67,i8,e_70) = store(store(a_67,i8,e_70),i9,select(store(a_67,i8,e_70),i9)),
inference(symmetry,[status(thm)],[242]) ).
tff(244,plain,
( ( a_67 = store(a_63,i7,e_66) )
<=> ( a_67 = store(a_63,i7,e_66) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(245,axiom,
a_67 = store(a_63,i7,e_66),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
tff(246,plain,
a_67 = store(a_63,i7,e_66),
inference(modus_ponens,[status(thm)],[245,244]) ).
tff(247,plain,
store(a_63,i7,e_66) = a_67,
inference(symmetry,[status(thm)],[246]) ).
tff(248,plain,
store(store(a_63,i7,e_66),i8,select(a_65,i8)) = store(a_67,i8,e_70),
inference(monotonicity,[status(thm)],[247,137]) ).
tff(249,plain,
store(store(a_63,i7,e_66),i8,select(a_65,i8)) = store(store(a_61,i7,e_64),i8,select(a_67,i8)),
inference(transitivity,[status(thm)],[248,243,240,236,210,196,192,188,235,218,234,151,149]) ).
tff(250,plain,
select(store(store(a_63,i7,e_66),i8,select(a_65,i8)),i8) = select(store(store(a_61,i7,e_64),i8,select(a_67,i8)),i8),
inference(monotonicity,[status(thm)],[249]) ).
tff(251,plain,
select(store(store(a_61,i7,e_64),i8,select(a_67,i8)),i8) = select(store(store(a_63,i7,e_66),i8,select(a_65,i8)),i8),
inference(symmetry,[status(thm)],[250]) ).
tff(252,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_61,i7,e_64),i8,select(a_67,i8)),i8) = select(a_67,i8) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(253,plain,
select(store(store(a_61,i7,e_64),i8,select(a_67,i8)),i8) = select(a_67,i8),
inference(unit_resolution,[status(thm)],[252,19]) ).
tff(254,plain,
select(a_67,i8) = select(store(store(a_61,i7,e_64),i8,select(a_67,i8)),i8),
inference(symmetry,[status(thm)],[253]) ).
tff(255,plain,
select(store(a_63,i7,e_66),i8) = select(a_67,i8),
inference(monotonicity,[status(thm)],[247]) ).
tff(256,plain,
select(store(a_63,i7,e_66),i8) = e_70,
inference(transitivity,[status(thm)],[255,254,251,139,137]) ).
tff(257,plain,
store(store(a_63,i7,e_66),i8,select(store(a_63,i7,e_66),i8)) = store(a_67,i8,e_70),
inference(monotonicity,[status(thm)],[247,256]) ).
tff(258,plain,
store(a_67,i8,e_70) = store(store(a_63,i7,e_66),i8,select(store(a_63,i7,e_66),i8)),
inference(symmetry,[status(thm)],[257]) ).
tff(259,plain,
store(a_71,i9,e_74) = store(store(a_67,i8,e_70),i9,select(store(a_67,i8,e_70),i9)),
inference(symmetry,[status(thm)],[240]) ).
tff(260,plain,
store(a_65,i8,e_68) = store(store(a_65,i8,e_68),i9,select(store(a_65,i8,e_68),i9)),
inference(symmetry,[status(thm)],[151]) ).
tff(261,plain,
select(a_65,i8) = select(store(store(a_63,i7,e_66),i8,select(a_65,i8)),i8),
inference(symmetry,[status(thm)],[139]) ).
tff(262,plain,
select(store(a_61,i7,e_64),i8) = select(a_65,i8),
inference(monotonicity,[status(thm)],[147]) ).
tff(263,plain,
select(store(a_61,i7,e_64),i8) = e_68,
inference(transitivity,[status(thm)],[262,261,250,253,143]) ).
tff(264,plain,
store(store(a_61,i7,e_64),i8,select(store(a_61,i7,e_64),i8)) = store(a_65,i8,e_68),
inference(monotonicity,[status(thm)],[147,263]) ).
tff(265,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_61,i7,e_64),i8,select(store(a_61,i7,e_64),i8)) = store(a_61,i7,e_64) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(266,plain,
store(store(a_61,i7,e_64),i8,select(store(a_61,i7,e_64),i8)) = store(a_61,i7,e_64),
inference(unit_resolution,[status(thm)],[265,7]) ).
tff(267,plain,
store(a_61,i7,e_64) = store(store(a_61,i7,e_64),i8,select(store(a_61,i7,e_64),i8)),
inference(symmetry,[status(thm)],[266]) ).
tff(268,plain,
( ( a_61 = store(a_57,i6,e_60) )
<=> ( a_61 = store(a_57,i6,e_60) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(269,axiom,
a_61 = store(a_57,i6,e_60),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
tff(270,plain,
a_61 = store(a_57,i6,e_60),
inference(modus_ponens,[status(thm)],[269,268]) ).
tff(271,plain,
store(a_57,i6,e_60) = a_61,
inference(symmetry,[status(thm)],[270]) ).
tff(272,plain,
store(store(a_57,i6,e_60),i7,select(a_63,i7)) = store(a_61,i7,e_64),
inference(monotonicity,[status(thm)],[271,119]) ).
tff(273,plain,
store(store(a_57,i6,e_60),i7,select(a_63,i7)) = store(store(a_59,i6,e_62),i7,select(a_61,i7)),
inference(transitivity,[status(thm)],[272,267,264,260,233,219,216,212,191,195,211,169,259,242,258,133,131]) ).
tff(274,plain,
select(store(store(a_57,i6,e_60),i7,select(a_63,i7)),i7) = select(store(store(a_59,i6,e_62),i7,select(a_61,i7)),i7),
inference(monotonicity,[status(thm)],[273]) ).
tff(275,plain,
select(store(store(a_59,i6,e_62),i7,select(a_61,i7)),i7) = select(store(store(a_57,i6,e_60),i7,select(a_63,i7)),i7),
inference(symmetry,[status(thm)],[274]) ).
tff(276,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_59,i6,e_62),i7,select(a_61,i7)),i7) = select(a_61,i7) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(277,plain,
select(store(store(a_59,i6,e_62),i7,select(a_61,i7)),i7) = select(a_61,i7),
inference(unit_resolution,[status(thm)],[276,19]) ).
tff(278,plain,
select(a_61,i7) = select(store(store(a_59,i6,e_62),i7,select(a_61,i7)),i7),
inference(symmetry,[status(thm)],[277]) ).
tff(279,plain,
select(store(a_57,i6,e_60),i7) = select(a_61,i7),
inference(monotonicity,[status(thm)],[271]) ).
tff(280,plain,
select(store(a_57,i6,e_60),i7) = e_64,
inference(transitivity,[status(thm)],[279,278,275,121,119]) ).
tff(281,plain,
store(store(a_57,i6,e_60),i7,select(store(a_57,i6,e_60),i7)) = store(a_61,i7,e_64),
inference(monotonicity,[status(thm)],[271,280]) ).
tff(282,plain,
store(a_61,i7,e_64) = store(store(a_57,i6,e_60),i7,select(store(a_57,i6,e_60),i7)),
inference(symmetry,[status(thm)],[281]) ).
tff(283,plain,
store(a_65,i8,e_68) = store(store(a_61,i7,e_64),i8,select(store(a_61,i7,e_64),i8)),
inference(symmetry,[status(thm)],[264]) ).
tff(284,plain,
store(a_63,i7,e_66) = store(store(a_63,i7,e_66),i8,select(store(a_63,i7,e_66),i8)),
inference(symmetry,[status(thm)],[133]) ).
tff(285,plain,
select(a_63,i7) = select(store(store(a_57,i6,e_60),i7,select(a_63,i7)),i7),
inference(symmetry,[status(thm)],[121]) ).
tff(286,plain,
select(store(a_59,i6,e_62),i7) = select(a_63,i7),
inference(monotonicity,[status(thm)],[129]) ).
tff(287,plain,
select(store(a_59,i6,e_62),i7) = e_66,
inference(transitivity,[status(thm)],[286,285,274,277,125]) ).
tff(288,plain,
store(store(a_59,i6,e_62),i7,select(store(a_59,i6,e_62),i7)) = store(a_63,i7,e_66),
inference(monotonicity,[status(thm)],[129,287]) ).
tff(289,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_59,i6,e_62),i7,select(store(a_59,i6,e_62),i7)) = store(a_59,i6,e_62) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(290,plain,
store(store(a_59,i6,e_62),i7,select(store(a_59,i6,e_62),i7)) = store(a_59,i6,e_62),
inference(unit_resolution,[status(thm)],[289,7]) ).
tff(291,plain,
store(a_59,i6,e_62) = store(store(a_59,i6,e_62),i7,select(store(a_59,i6,e_62),i7)),
inference(symmetry,[status(thm)],[290]) ).
tff(292,plain,
( ( a_59 = store(a_55,i5,e_58) )
<=> ( a_59 = store(a_55,i5,e_58) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(293,axiom,
a_59 = store(a_55,i5,e_58),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
tff(294,plain,
a_59 = store(a_55,i5,e_58),
inference(modus_ponens,[status(thm)],[293,292]) ).
tff(295,plain,
store(a_55,i5,e_58) = a_59,
inference(symmetry,[status(thm)],[294]) ).
tff(296,plain,
store(store(a_55,i5,e_58),i6,select(a_57,i6)) = store(a_59,i6,e_62),
inference(monotonicity,[status(thm)],[295,101]) ).
tff(297,plain,
store(store(a_55,i5,e_58),i6,select(a_57,i6)) = store(store(a_53,i5,e_56),i6,select(a_59,i6)),
inference(transitivity,[status(thm)],[296,291,288,284,257,243,240,236,210,196,192,188,235,218,234,151,283,266,282,115,113]) ).
tff(298,plain,
select(store(store(a_55,i5,e_58),i6,select(a_57,i6)),i6) = select(store(store(a_53,i5,e_56),i6,select(a_59,i6)),i6),
inference(monotonicity,[status(thm)],[297]) ).
tff(299,plain,
select(store(store(a_53,i5,e_56),i6,select(a_59,i6)),i6) = select(store(store(a_55,i5,e_58),i6,select(a_57,i6)),i6),
inference(symmetry,[status(thm)],[298]) ).
tff(300,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_53,i5,e_56),i6,select(a_59,i6)),i6) = select(a_59,i6) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(301,plain,
select(store(store(a_53,i5,e_56),i6,select(a_59,i6)),i6) = select(a_59,i6),
inference(unit_resolution,[status(thm)],[300,19]) ).
tff(302,plain,
select(a_59,i6) = select(store(store(a_53,i5,e_56),i6,select(a_59,i6)),i6),
inference(symmetry,[status(thm)],[301]) ).
tff(303,plain,
select(store(a_55,i5,e_58),i6) = select(a_59,i6),
inference(monotonicity,[status(thm)],[295]) ).
tff(304,plain,
select(store(a_55,i5,e_58),i6) = e_62,
inference(transitivity,[status(thm)],[303,302,299,103,101]) ).
tff(305,plain,
store(store(a_55,i5,e_58),i6,select(store(a_55,i5,e_58),i6)) = store(a_59,i6,e_62),
inference(monotonicity,[status(thm)],[295,304]) ).
tff(306,plain,
store(a_59,i6,e_62) = store(store(a_55,i5,e_58),i6,select(store(a_55,i5,e_58),i6)),
inference(symmetry,[status(thm)],[305]) ).
tff(307,plain,
store(a_63,i7,e_66) = store(store(a_59,i6,e_62),i7,select(store(a_59,i6,e_62),i7)),
inference(symmetry,[status(thm)],[288]) ).
tff(308,plain,
store(a_57,i6,e_60) = store(store(a_57,i6,e_60),i7,select(store(a_57,i6,e_60),i7)),
inference(symmetry,[status(thm)],[115]) ).
tff(309,plain,
select(a_57,i6) = select(store(store(a_55,i5,e_58),i6,select(a_57,i6)),i6),
inference(symmetry,[status(thm)],[103]) ).
tff(310,plain,
select(store(a_53,i5,e_56),i6) = select(a_57,i6),
inference(monotonicity,[status(thm)],[111]) ).
tff(311,plain,
select(store(a_53,i5,e_56),i6) = e_60,
inference(transitivity,[status(thm)],[310,309,298,301,107]) ).
tff(312,plain,
store(store(a_53,i5,e_56),i6,select(store(a_53,i5,e_56),i6)) = store(a_57,i6,e_60),
inference(monotonicity,[status(thm)],[111,311]) ).
tff(313,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_53,i5,e_56),i6,select(store(a_53,i5,e_56),i6)) = store(a_53,i5,e_56) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(314,plain,
store(store(a_53,i5,e_56),i6,select(store(a_53,i5,e_56),i6)) = store(a_53,i5,e_56),
inference(unit_resolution,[status(thm)],[313,7]) ).
tff(315,plain,
store(a_53,i5,e_56) = store(store(a_53,i5,e_56),i6,select(store(a_53,i5,e_56),i6)),
inference(symmetry,[status(thm)],[314]) ).
tff(316,plain,
( ( a_53 = store(a_49,i4,e_52) )
<=> ( a_53 = store(a_49,i4,e_52) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(317,axiom,
a_53 = store(a_49,i4,e_52),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
tff(318,plain,
a_53 = store(a_49,i4,e_52),
inference(modus_ponens,[status(thm)],[317,316]) ).
tff(319,plain,
store(a_49,i4,e_52) = a_53,
inference(symmetry,[status(thm)],[318]) ).
tff(320,plain,
store(store(a_49,i4,e_52),i5,select(a_55,i5)) = store(a_53,i5,e_56),
inference(monotonicity,[status(thm)],[319,83]) ).
tff(321,plain,
store(store(a_49,i4,e_52),i5,select(a_55,i5)) = store(store(a_51,i4,e_54),i5,select(a_53,i5)),
inference(transitivity,[status(thm)],[320,315,312,308,281,267,264,260,233,219,216,212,191,195,211,169,259,242,258,133,307,290,306,97,95]) ).
tff(322,plain,
select(store(store(a_49,i4,e_52),i5,select(a_55,i5)),i5) = select(store(store(a_51,i4,e_54),i5,select(a_53,i5)),i5),
inference(monotonicity,[status(thm)],[321]) ).
tff(323,plain,
select(store(store(a_51,i4,e_54),i5,select(a_53,i5)),i5) = select(store(store(a_49,i4,e_52),i5,select(a_55,i5)),i5),
inference(symmetry,[status(thm)],[322]) ).
tff(324,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_51,i4,e_54),i5,select(a_53,i5)),i5) = select(a_53,i5) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(325,plain,
select(store(store(a_51,i4,e_54),i5,select(a_53,i5)),i5) = select(a_53,i5),
inference(unit_resolution,[status(thm)],[324,19]) ).
tff(326,plain,
select(a_53,i5) = select(store(store(a_51,i4,e_54),i5,select(a_53,i5)),i5),
inference(symmetry,[status(thm)],[325]) ).
tff(327,plain,
select(store(a_49,i4,e_52),i5) = select(a_53,i5),
inference(monotonicity,[status(thm)],[319]) ).
tff(328,plain,
select(store(a_49,i4,e_52),i5) = e_56,
inference(transitivity,[status(thm)],[327,326,323,85,83]) ).
tff(329,plain,
store(store(a_49,i4,e_52),i5,select(store(a_49,i4,e_52),i5)) = store(a_53,i5,e_56),
inference(monotonicity,[status(thm)],[319,328]) ).
tff(330,plain,
store(a_53,i5,e_56) = store(store(a_49,i4,e_52),i5,select(store(a_49,i4,e_52),i5)),
inference(symmetry,[status(thm)],[329]) ).
tff(331,plain,
store(a_57,i6,e_60) = store(store(a_53,i5,e_56),i6,select(store(a_53,i5,e_56),i6)),
inference(symmetry,[status(thm)],[312]) ).
tff(332,plain,
store(a_55,i5,e_58) = store(store(a_55,i5,e_58),i6,select(store(a_55,i5,e_58),i6)),
inference(symmetry,[status(thm)],[97]) ).
tff(333,plain,
select(a_55,i5) = select(store(store(a_49,i4,e_52),i5,select(a_55,i5)),i5),
inference(symmetry,[status(thm)],[85]) ).
tff(334,plain,
select(store(a_51,i4,e_54),i5) = select(a_55,i5),
inference(monotonicity,[status(thm)],[93]) ).
tff(335,plain,
select(store(a_51,i4,e_54),i5) = e_58,
inference(transitivity,[status(thm)],[334,333,322,325,89]) ).
tff(336,plain,
store(store(a_51,i4,e_54),i5,select(store(a_51,i4,e_54),i5)) = store(a_55,i5,e_58),
inference(monotonicity,[status(thm)],[93,335]) ).
tff(337,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_51,i4,e_54),i5,select(store(a_51,i4,e_54),i5)) = store(a_51,i4,e_54) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(338,plain,
store(store(a_51,i4,e_54),i5,select(store(a_51,i4,e_54),i5)) = store(a_51,i4,e_54),
inference(unit_resolution,[status(thm)],[337,7]) ).
tff(339,plain,
store(a_51,i4,e_54) = store(store(a_51,i4,e_54),i5,select(store(a_51,i4,e_54),i5)),
inference(symmetry,[status(thm)],[338]) ).
tff(340,plain,
( ( a_51 = store(a_47,i3,e_50) )
<=> ( a_51 = store(a_47,i3,e_50) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(341,axiom,
a_51 = store(a_47,i3,e_50),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
tff(342,plain,
a_51 = store(a_47,i3,e_50),
inference(modus_ponens,[status(thm)],[341,340]) ).
tff(343,plain,
store(a_47,i3,e_50) = a_51,
inference(symmetry,[status(thm)],[342]) ).
tff(344,plain,
store(store(a_47,i3,e_50),i4,select(a_49,i4)) = store(a_51,i4,e_54),
inference(monotonicity,[status(thm)],[343,65]) ).
tff(345,plain,
store(store(a_47,i3,e_50),i4,select(a_49,i4)) = store(store(a_45,i3,e_48),i4,select(a_51,i4)),
inference(transitivity,[status(thm)],[344,339,336,332,305,291,288,284,257,243,240,236,210,196,192,188,235,218,234,151,283,266,282,115,331,314,330,79,77]) ).
tff(346,plain,
select(store(store(a_47,i3,e_50),i4,select(a_49,i4)),i4) = select(store(store(a_45,i3,e_48),i4,select(a_51,i4)),i4),
inference(monotonicity,[status(thm)],[345]) ).
tff(347,plain,
select(store(store(a_45,i3,e_48),i4,select(a_51,i4)),i4) = select(store(store(a_47,i3,e_50),i4,select(a_49,i4)),i4),
inference(symmetry,[status(thm)],[346]) ).
tff(348,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_45,i3,e_48),i4,select(a_51,i4)),i4) = select(a_51,i4) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(349,plain,
select(store(store(a_45,i3,e_48),i4,select(a_51,i4)),i4) = select(a_51,i4),
inference(unit_resolution,[status(thm)],[348,19]) ).
tff(350,plain,
select(a_51,i4) = select(store(store(a_45,i3,e_48),i4,select(a_51,i4)),i4),
inference(symmetry,[status(thm)],[349]) ).
tff(351,plain,
select(store(a_47,i3,e_50),i4) = select(a_51,i4),
inference(monotonicity,[status(thm)],[343]) ).
tff(352,plain,
select(store(a_47,i3,e_50),i4) = e_54,
inference(transitivity,[status(thm)],[351,350,347,67,65]) ).
tff(353,plain,
store(store(a_47,i3,e_50),i4,select(store(a_47,i3,e_50),i4)) = store(a_51,i4,e_54),
inference(monotonicity,[status(thm)],[343,352]) ).
tff(354,plain,
store(a_51,i4,e_54) = store(store(a_47,i3,e_50),i4,select(store(a_47,i3,e_50),i4)),
inference(symmetry,[status(thm)],[353]) ).
tff(355,plain,
store(a_55,i5,e_58) = store(store(a_51,i4,e_54),i5,select(store(a_51,i4,e_54),i5)),
inference(symmetry,[status(thm)],[336]) ).
tff(356,plain,
store(a_49,i4,e_52) = store(store(a_49,i4,e_52),i5,select(store(a_49,i4,e_52),i5)),
inference(symmetry,[status(thm)],[79]) ).
tff(357,plain,
select(a_49,i4) = select(store(store(a_47,i3,e_50),i4,select(a_49,i4)),i4),
inference(symmetry,[status(thm)],[67]) ).
tff(358,plain,
select(store(a_45,i3,e_48),i4) = select(a_49,i4),
inference(monotonicity,[status(thm)],[75]) ).
tff(359,plain,
select(store(a_45,i3,e_48),i4) = e_52,
inference(transitivity,[status(thm)],[358,357,346,349,71]) ).
tff(360,plain,
store(store(a_45,i3,e_48),i4,select(store(a_45,i3,e_48),i4)) = store(a_49,i4,e_52),
inference(monotonicity,[status(thm)],[75,359]) ).
tff(361,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_45,i3,e_48),i4,select(store(a_45,i3,e_48),i4)) = store(a_45,i3,e_48) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(362,plain,
store(store(a_45,i3,e_48),i4,select(store(a_45,i3,e_48),i4)) = store(a_45,i3,e_48),
inference(unit_resolution,[status(thm)],[361,7]) ).
tff(363,plain,
store(a_45,i3,e_48) = store(store(a_45,i3,e_48),i4,select(store(a_45,i3,e_48),i4)),
inference(symmetry,[status(thm)],[362]) ).
tff(364,plain,
( ( a_45 = store(a_41,i2,e_44) )
<=> ( a_45 = store(a_41,i2,e_44) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(365,axiom,
a_45 = store(a_41,i2,e_44),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
tff(366,plain,
a_45 = store(a_41,i2,e_44),
inference(modus_ponens,[status(thm)],[365,364]) ).
tff(367,plain,
store(a_41,i2,e_44) = a_45,
inference(symmetry,[status(thm)],[366]) ).
tff(368,plain,
store(store(a_41,i2,e_44),i3,select(a_47,i3)) = store(a_45,i3,e_48),
inference(monotonicity,[status(thm)],[367,47]) ).
tff(369,plain,
store(store(a_41,i2,e_44),i3,select(a_47,i3)) = store(store(a_43,i2,e_46),i3,select(a_45,i3)),
inference(transitivity,[status(thm)],[368,363,360,356,329,315,312,308,281,267,264,260,233,219,216,212,191,195,211,169,259,242,258,133,307,290,306,97,355,338,354,61,59]) ).
tff(370,plain,
select(store(store(a_41,i2,e_44),i3,select(a_47,i3)),i3) = select(store(store(a_43,i2,e_46),i3,select(a_45,i3)),i3),
inference(monotonicity,[status(thm)],[369]) ).
tff(371,plain,
select(store(store(a_43,i2,e_46),i3,select(a_45,i3)),i3) = select(store(store(a_41,i2,e_44),i3,select(a_47,i3)),i3),
inference(symmetry,[status(thm)],[370]) ).
tff(372,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_43,i2,e_46),i3,select(a_45,i3)),i3) = select(a_45,i3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(373,plain,
select(store(store(a_43,i2,e_46),i3,select(a_45,i3)),i3) = select(a_45,i3),
inference(unit_resolution,[status(thm)],[372,19]) ).
tff(374,plain,
select(a_45,i3) = select(store(store(a_43,i2,e_46),i3,select(a_45,i3)),i3),
inference(symmetry,[status(thm)],[373]) ).
tff(375,plain,
select(store(a_41,i2,e_44),i3) = select(a_45,i3),
inference(monotonicity,[status(thm)],[367]) ).
tff(376,plain,
select(store(a_41,i2,e_44),i3) = e_48,
inference(transitivity,[status(thm)],[375,374,371,49,47]) ).
tff(377,plain,
store(store(a_41,i2,e_44),i3,select(store(a_41,i2,e_44),i3)) = store(a_45,i3,e_48),
inference(monotonicity,[status(thm)],[367,376]) ).
tff(378,plain,
store(a_45,i3,e_48) = store(store(a_41,i2,e_44),i3,select(store(a_41,i2,e_44),i3)),
inference(symmetry,[status(thm)],[377]) ).
tff(379,plain,
store(a_49,i4,e_52) = store(store(a_45,i3,e_48),i4,select(store(a_45,i3,e_48),i4)),
inference(symmetry,[status(thm)],[360]) ).
tff(380,plain,
store(a_47,i3,e_50) = store(store(a_47,i3,e_50),i4,select(store(a_47,i3,e_50),i4)),
inference(symmetry,[status(thm)],[61]) ).
tff(381,plain,
select(a_47,i3) = select(store(store(a_41,i2,e_44),i3,select(a_47,i3)),i3),
inference(symmetry,[status(thm)],[49]) ).
tff(382,plain,
select(store(a_43,i2,e_46),i3) = select(a_47,i3),
inference(monotonicity,[status(thm)],[57]) ).
tff(383,plain,
select(store(a_43,i2,e_46),i3) = e_50,
inference(transitivity,[status(thm)],[382,381,370,373,53]) ).
tff(384,plain,
store(store(a_43,i2,e_46),i3,select(store(a_43,i2,e_46),i3)) = store(a_47,i3,e_50),
inference(monotonicity,[status(thm)],[57,383]) ).
tff(385,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_43,i2,e_46),i3,select(store(a_43,i2,e_46),i3)) = store(a_43,i2,e_46) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(386,plain,
store(store(a_43,i2,e_46),i3,select(store(a_43,i2,e_46),i3)) = store(a_43,i2,e_46),
inference(unit_resolution,[status(thm)],[385,7]) ).
tff(387,plain,
store(a_43,i2,e_46) = store(store(a_43,i2,e_46),i3,select(store(a_43,i2,e_46),i3)),
inference(symmetry,[status(thm)],[386]) ).
tff(388,plain,
( ( a_43 = store(a2,i1,e_42) )
<=> ( a_43 = store(a2,i1,e_42) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(389,axiom,
a_43 = store(a2,i1,e_42),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
tff(390,plain,
a_43 = store(a2,i1,e_42),
inference(modus_ponens,[status(thm)],[389,388]) ).
tff(391,plain,
store(a2,i1,e_42) = a_43,
inference(symmetry,[status(thm)],[390]) ).
tff(392,plain,
store(store(a2,i1,e_42),i2,select(a_41,i2)) = store(a_43,i2,e_46),
inference(monotonicity,[status(thm)],[391,29]) ).
tff(393,plain,
store(store(a2,i1,e_42),i2,select(a_41,i2)) = store(store(a1,i1,e_40),i2,select(a_43,i2)),
inference(transitivity,[status(thm)],[392,387,384,380,353,339,336,332,305,291,288,284,257,243,240,236,210,196,192,188,235,218,234,151,283,266,282,115,331,314,330,79,379,362,378,43,41]) ).
tff(394,plain,
select(store(store(a2,i1,e_42),i2,select(a_41,i2)),i2) = select(store(store(a1,i1,e_40),i2,select(a_43,i2)),i2),
inference(monotonicity,[status(thm)],[393]) ).
tff(395,plain,
select(store(store(a1,i1,e_40),i2,select(a_43,i2)),i2) = select(store(store(a2,i1,e_42),i2,select(a_41,i2)),i2),
inference(symmetry,[status(thm)],[394]) ).
tff(396,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a1,i1,e_40),i2,select(a_43,i2)),i2) = select(a_43,i2) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(397,plain,
select(store(store(a1,i1,e_40),i2,select(a_43,i2)),i2) = select(a_43,i2),
inference(unit_resolution,[status(thm)],[396,19]) ).
tff(398,plain,
select(a_43,i2) = select(store(store(a1,i1,e_40),i2,select(a_43,i2)),i2),
inference(symmetry,[status(thm)],[397]) ).
tff(399,plain,
select(store(a2,i1,e_42),i2) = select(a_43,i2),
inference(monotonicity,[status(thm)],[391]) ).
tff(400,plain,
select(store(a2,i1,e_42),i2) = e_46,
inference(transitivity,[status(thm)],[399,398,395,31,29]) ).
tff(401,plain,
store(store(a2,i1,e_42),i2,select(store(a2,i1,e_42),i2)) = store(a_43,i2,e_46),
inference(monotonicity,[status(thm)],[391,400]) ).
tff(402,plain,
store(a_43,i2,e_46) = store(store(a2,i1,e_42),i2,select(store(a2,i1,e_42),i2)),
inference(symmetry,[status(thm)],[401]) ).
tff(403,plain,
store(a_47,i3,e_50) = store(store(a_43,i2,e_46),i3,select(store(a_43,i2,e_46),i3)),
inference(symmetry,[status(thm)],[384]) ).
tff(404,plain,
store(a_41,i2,e_44) = store(store(a_41,i2,e_44),i3,select(store(a_41,i2,e_44),i3)),
inference(symmetry,[status(thm)],[43]) ).
tff(405,plain,
select(a_41,i2) = select(store(store(a2,i1,e_42),i2,select(a_41,i2)),i2),
inference(symmetry,[status(thm)],[31]) ).
tff(406,plain,
select(store(a1,i1,e_40),i2) = select(a_41,i2),
inference(monotonicity,[status(thm)],[39]) ).
tff(407,plain,
select(store(a1,i1,e_40),i2) = e_44,
inference(transitivity,[status(thm)],[406,405,394,397,35]) ).
tff(408,plain,
store(store(a1,i1,e_40),i2,select(store(a1,i1,e_40),i2)) = store(a_41,i2,e_44),
inference(monotonicity,[status(thm)],[39,407]) ).
tff(409,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a1,i1,e_40),i2,select(store(a1,i1,e_40),i2)) = store(a1,i1,e_40) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(410,plain,
store(store(a1,i1,e_40),i2,select(store(a1,i1,e_40),i2)) = store(a1,i1,e_40),
inference(unit_resolution,[status(thm)],[409,7]) ).
tff(411,plain,
store(a1,i1,e_40) = store(store(a1,i1,e_40),i2,select(store(a1,i1,e_40),i2)),
inference(symmetry,[status(thm)],[410]) ).
tff(412,plain,
( ( e_40 = select(a2,i1) )
<=> ( e_40 = select(a2,i1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(413,axiom,
e_40 = select(a2,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
tff(414,plain,
e_40 = select(a2,i1),
inference(modus_ponens,[status(thm)],[413,412]) ).
tff(415,plain,
select(a2,i1) = e_40,
inference(symmetry,[status(thm)],[414]) ).
tff(416,plain,
store(a1,i1,select(a2,i1)) = store(a1,i1,e_40),
inference(monotonicity,[status(thm)],[415]) ).
tff(417,plain,
store(a1,i1,select(a2,i1)) = store(a2,i1,select(a1,i1)),
inference(transitivity,[status(thm)],[416,411,408,404,377,363,360,356,329,315,312,308,281,267,264,260,233,219,216,212,191,195,211,169,259,242,258,133,307,290,306,97,355,338,354,61,403,386,402,25,23]) ).
tff(418,plain,
select(store(a1,i1,select(a2,i1)),i1) = select(store(a2,i1,select(a1,i1)),i1),
inference(monotonicity,[status(thm)],[417]) ).
tff(419,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(a1,i1,select(a2,i1)),i1) = select(a2,i1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(420,plain,
select(store(a1,i1,select(a2,i1)),i1) = select(a2,i1),
inference(unit_resolution,[status(thm)],[419,19]) ).
tff(421,plain,
select(a2,i1) = select(store(a1,i1,select(a2,i1)),i1),
inference(symmetry,[status(thm)],[420]) ).
tff(422,plain,
select(a2,i1) = e_42,
inference(transitivity,[status(thm)],[421,418,21,13]) ).
tff(423,plain,
store(a2,i1,select(a2,i1)) = store(a2,i1,e_42),
inference(monotonicity,[status(thm)],[422]) ).
tff(424,plain,
store(a2,i1,e_42) = store(a2,i1,select(a2,i1)),
inference(symmetry,[status(thm)],[423]) ).
tff(425,plain,
select(store(a2,i1,select(a1,i1)),i1) = select(store(a1,i1,select(a2,i1)),i1),
inference(symmetry,[status(thm)],[418]) ).
tff(426,plain,
select(a1,i1) = select(store(a2,i1,select(a1,i1)),i1),
inference(symmetry,[status(thm)],[21]) ).
tff(427,plain,
select(a1,i1) = e_40,
inference(transitivity,[status(thm)],[426,425,420,415]) ).
tff(428,plain,
store(a1,i1,select(a1,i1)) = store(a1,i1,e_40),
inference(monotonicity,[status(thm)],[427]) ).
tff(429,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(a1,i1,select(a1,i1)) = a1 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(430,plain,
store(a1,i1,select(a1,i1)) = a1,
inference(unit_resolution,[status(thm)],[429,7]) ).
tff(431,plain,
a1 = store(a1,i1,select(a1,i1)),
inference(symmetry,[status(thm)],[430]) ).
tff(432,plain,
a1 = a2,
inference(transitivity,[status(thm)],[431,428,411,408,404,377,363,360,356,329,315,312,308,281,267,264,260,233,219,216,212,191,195,211,169,259,242,258,133,307,290,306,97,355,338,354,61,403,386,402,25,424,9]) ).
tff(433,plain,
( ( a1 != a2 )
<=> ( a1 != a2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(434,axiom,
a1 != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tff(435,plain,
a1 != a2,
inference(modus_ponens,[status(thm)],[434,433]) ).
tff(436,plain,
$false,
inference(unit_resolution,[status(thm)],[435,432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV558-1.010 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 10:20:07 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.38 % SZS status Unsatisfiable
% 0.12/0.38 % SZS output start Proof
% See solution above
% 0.20/0.44 % E exiting
%------------------------------------------------------------------------------