%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV558-1.007 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.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 05:35:34 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.37s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 94
% Syntax : Number of formulae : 312 ( 250 unt; 0 typ; 0 def)
% Number of atoms : 376 ( 374 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 95 ( 32 ~; 28 |; 0 &)
% ( 35 <=>; 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 : 39 ( 39 usr; 37 con; 0-3 aty)
% Number of variables : 112 ( 110 !; 0 ?; 112 :)
% 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_30_type,type,
e_30: $i ).
tff(e_28_type,type,
e_28: $i ).
tff(i2_type,type,
i2: $i ).
tff(e_32_type,type,
e_32: $i ).
tff(a_29_type,type,
a_29: $i ).
tff(a_31_type,type,
a_31: $i ).
tff(e_34_type,type,
e_34: $i ).
tff(i3_type,type,
i3: $i ).
tff(e_38_type,type,
e_38: $i ).
tff(a_35_type,type,
a_35: $i ).
tff(a_33_type,type,
a_33: $i ).
tff(e_36_type,type,
e_36: $i ).
tff(i4_type,type,
i4: $i ).
tff(e_40_type,type,
e_40: $i ).
tff(a_37_type,type,
a_37: $i ).
tff(a_39_type,type,
a_39: $i ).
tff(e_42_type,type,
e_42: $i ).
tff(i5_type,type,
i5: $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_44_type,type,
e_44: $i ).
tff(i6_type,type,
i6: $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(i7_type,type,
i7: $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(a_53_type,type,
a_53: $i ).
tff(a_55_type,type,
a_55: $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_30 = select(a1,i1) )
<=> ( e_30 = select(a1,i1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,axiom,
e_30 = select(a1,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
tff(12,plain,
e_30 = select(a1,i1),
inference(modus_ponens,[status(thm)],[11,10]) ).
tff(13,plain,
select(a1,i1) = e_30,
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,
( ( e_28 = select(a2,i1) )
<=> ( e_28 = select(a2,i1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,axiom,
e_28 = select(a2,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
tff(24,plain,
e_28 = select(a2,i1),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
select(a2,i1) = e_28,
inference(symmetry,[status(thm)],[24]) ).
tff(26,plain,
store(a1,i1,select(a2,i1)) = store(a1,i1,e_28),
inference(monotonicity,[status(thm)],[25]) ).
tff(27,plain,
store(a1,i1,e_28) = store(a1,i1,select(a2,i1)),
inference(symmetry,[status(thm)],[26]) ).
tff(28,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a1,i1,e_28),i2,select(store(a1,i1,e_28),i2)) = store(a1,i1,e_28) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(29,plain,
store(store(a1,i1,e_28),i2,select(store(a1,i1,e_28),i2)) = store(a1,i1,e_28),
inference(unit_resolution,[status(thm)],[28,7]) ).
tff(30,plain,
( ( e_32 = select(a_31,i2) )
<=> ( e_32 = select(a_31,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(31,axiom,
e_32 = select(a_31,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
tff(32,plain,
e_32 = select(a_31,i2),
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,plain,
select(a_31,i2) = e_32,
inference(symmetry,[status(thm)],[32]) ).
tff(34,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a1,i1,e_28),i2,select(a_31,i2)),i2) = select(a_31,i2) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(35,plain,
select(store(store(a1,i1,e_28),i2,select(a_31,i2)),i2) = select(a_31,i2),
inference(unit_resolution,[status(thm)],[34,19]) ).
tff(36,plain,
( ( e_34 = select(a_29,i2) )
<=> ( e_34 = select(a_29,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(37,axiom,
e_34 = select(a_29,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
tff(38,plain,
e_34 = select(a_29,i2),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
select(a_29,i2) = e_34,
inference(symmetry,[status(thm)],[38]) ).
tff(40,plain,
( ( a_31 = store(a2,i1,e_30) )
<=> ( a_31 = store(a2,i1,e_30) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(41,axiom,
a_31 = store(a2,i1,e_30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
tff(42,plain,
a_31 = store(a2,i1,e_30),
inference(modus_ponens,[status(thm)],[41,40]) ).
tff(43,plain,
store(a2,i1,e_30) = a_31,
inference(symmetry,[status(thm)],[42]) ).
tff(44,plain,
store(store(a2,i1,e_30),i2,select(a_29,i2)) = store(a_31,i2,e_34),
inference(monotonicity,[status(thm)],[43,39]) ).
tff(45,plain,
store(a_31,i2,e_34) = store(store(a2,i1,e_30),i2,select(a_29,i2)),
inference(symmetry,[status(thm)],[44]) ).
tff(46,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_31,i2,e_34),i3,select(store(a_31,i2,e_34),i3)) = store(a_31,i2,e_34) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(47,plain,
store(store(a_31,i2,e_34),i3,select(store(a_31,i2,e_34),i3)) = store(a_31,i2,e_34),
inference(unit_resolution,[status(thm)],[46,7]) ).
tff(48,plain,
( ( e_38 = select(a_33,i3) )
<=> ( e_38 = select(a_33,i3) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(49,axiom,
e_38 = select(a_33,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
tff(50,plain,
e_38 = select(a_33,i3),
inference(modus_ponens,[status(thm)],[49,48]) ).
tff(51,plain,
select(a_33,i3) = e_38,
inference(symmetry,[status(thm)],[50]) ).
tff(52,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_31,i2,e_34),i3,select(a_33,i3)),i3) = select(a_33,i3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(53,plain,
select(store(store(a_31,i2,e_34),i3,select(a_33,i3)),i3) = select(a_33,i3),
inference(unit_resolution,[status(thm)],[52,19]) ).
tff(54,plain,
( ( e_36 = select(a_35,i3) )
<=> ( e_36 = select(a_35,i3) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(55,axiom,
e_36 = select(a_35,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
tff(56,plain,
e_36 = select(a_35,i3),
inference(modus_ponens,[status(thm)],[55,54]) ).
tff(57,plain,
select(a_35,i3) = e_36,
inference(symmetry,[status(thm)],[56]) ).
tff(58,plain,
( ( a_33 = store(a_29,i2,e_32) )
<=> ( a_33 = store(a_29,i2,e_32) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(59,axiom,
a_33 = store(a_29,i2,e_32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
tff(60,plain,
a_33 = store(a_29,i2,e_32),
inference(modus_ponens,[status(thm)],[59,58]) ).
tff(61,plain,
store(a_29,i2,e_32) = a_33,
inference(symmetry,[status(thm)],[60]) ).
tff(62,plain,
store(store(a_29,i2,e_32),i3,select(a_35,i3)) = store(a_33,i3,e_36),
inference(monotonicity,[status(thm)],[61,57]) ).
tff(63,plain,
store(a_33,i3,e_36) = store(store(a_29,i2,e_32),i3,select(a_35,i3)),
inference(symmetry,[status(thm)],[62]) ).
tff(64,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_33,i3,e_36),i4,select(store(a_33,i3,e_36),i4)) = store(a_33,i3,e_36) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(65,plain,
store(store(a_33,i3,e_36),i4,select(store(a_33,i3,e_36),i4)) = store(a_33,i3,e_36),
inference(unit_resolution,[status(thm)],[64,7]) ).
tff(66,plain,
( ( e_40 = select(a_39,i4) )
<=> ( e_40 = select(a_39,i4) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(67,axiom,
e_40 = select(a_39,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
tff(68,plain,
e_40 = select(a_39,i4),
inference(modus_ponens,[status(thm)],[67,66]) ).
tff(69,plain,
select(a_39,i4) = e_40,
inference(symmetry,[status(thm)],[68]) ).
tff(70,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_33,i3,e_36),i4,select(a_39,i4)),i4) = select(a_39,i4) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(71,plain,
select(store(store(a_33,i3,e_36),i4,select(a_39,i4)),i4) = select(a_39,i4),
inference(unit_resolution,[status(thm)],[70,19]) ).
tff(72,plain,
( ( e_42 = select(a_37,i4) )
<=> ( e_42 = select(a_37,i4) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(73,axiom,
e_42 = select(a_37,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
tff(74,plain,
e_42 = select(a_37,i4),
inference(modus_ponens,[status(thm)],[73,72]) ).
tff(75,plain,
select(a_37,i4) = e_42,
inference(symmetry,[status(thm)],[74]) ).
tff(76,plain,
( ( a_39 = store(a_35,i3,e_38) )
<=> ( a_39 = store(a_35,i3,e_38) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(77,axiom,
a_39 = store(a_35,i3,e_38),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
tff(78,plain,
a_39 = store(a_35,i3,e_38),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
store(a_35,i3,e_38) = a_39,
inference(symmetry,[status(thm)],[78]) ).
tff(80,plain,
store(store(a_35,i3,e_38),i4,select(a_37,i4)) = store(a_39,i4,e_42),
inference(monotonicity,[status(thm)],[79,75]) ).
tff(81,plain,
store(a_39,i4,e_42) = store(store(a_35,i3,e_38),i4,select(a_37,i4)),
inference(symmetry,[status(thm)],[80]) ).
tff(82,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_39,i4,e_42),i5,select(store(a_39,i4,e_42),i5)) = store(a_39,i4,e_42) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(83,plain,
store(store(a_39,i4,e_42),i5,select(store(a_39,i4,e_42),i5)) = store(a_39,i4,e_42),
inference(unit_resolution,[status(thm)],[82,7]) ).
tff(84,plain,
( ( e_46 = select(a_41,i5) )
<=> ( e_46 = select(a_41,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(85,axiom,
e_46 = select(a_41,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
tff(86,plain,
e_46 = select(a_41,i5),
inference(modus_ponens,[status(thm)],[85,84]) ).
tff(87,plain,
select(a_41,i5) = e_46,
inference(symmetry,[status(thm)],[86]) ).
tff(88,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_39,i4,e_42),i5,select(a_41,i5)),i5) = select(a_41,i5) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(89,plain,
select(store(store(a_39,i4,e_42),i5,select(a_41,i5)),i5) = select(a_41,i5),
inference(unit_resolution,[status(thm)],[88,19]) ).
tff(90,plain,
( ( e_44 = select(a_43,i5) )
<=> ( e_44 = select(a_43,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(91,axiom,
e_44 = select(a_43,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
tff(92,plain,
e_44 = select(a_43,i5),
inference(modus_ponens,[status(thm)],[91,90]) ).
tff(93,plain,
select(a_43,i5) = e_44,
inference(symmetry,[status(thm)],[92]) ).
tff(94,plain,
( ( a_41 = store(a_37,i4,e_40) )
<=> ( a_41 = store(a_37,i4,e_40) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(95,axiom,
a_41 = store(a_37,i4,e_40),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
tff(96,plain,
a_41 = store(a_37,i4,e_40),
inference(modus_ponens,[status(thm)],[95,94]) ).
tff(97,plain,
store(a_37,i4,e_40) = a_41,
inference(symmetry,[status(thm)],[96]) ).
tff(98,plain,
store(store(a_37,i4,e_40),i5,select(a_43,i5)) = store(a_41,i5,e_44),
inference(monotonicity,[status(thm)],[97,93]) ).
tff(99,plain,
store(a_41,i5,e_44) = store(store(a_37,i4,e_40),i5,select(a_43,i5)),
inference(symmetry,[status(thm)],[98]) ).
tff(100,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_41,i5,e_44),i6,select(store(a_41,i5,e_44),i6)) = store(a_41,i5,e_44) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(101,plain,
store(store(a_41,i5,e_44),i6,select(store(a_41,i5,e_44),i6)) = store(a_41,i5,e_44),
inference(unit_resolution,[status(thm)],[100,7]) ).
tff(102,plain,
( ( e_48 = select(a_47,i6) )
<=> ( e_48 = select(a_47,i6) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(103,axiom,
e_48 = select(a_47,i6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
tff(104,plain,
e_48 = select(a_47,i6),
inference(modus_ponens,[status(thm)],[103,102]) ).
tff(105,plain,
select(a_47,i6) = e_48,
inference(symmetry,[status(thm)],[104]) ).
tff(106,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_41,i5,e_44),i6,select(a_47,i6)),i6) = select(a_47,i6) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(107,plain,
select(store(store(a_41,i5,e_44),i6,select(a_47,i6)),i6) = select(a_47,i6),
inference(unit_resolution,[status(thm)],[106,19]) ).
tff(108,plain,
( ( e_50 = select(a_45,i6) )
<=> ( e_50 = select(a_45,i6) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(109,axiom,
e_50 = select(a_45,i6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
tff(110,plain,
e_50 = select(a_45,i6),
inference(modus_ponens,[status(thm)],[109,108]) ).
tff(111,plain,
select(a_45,i6) = e_50,
inference(symmetry,[status(thm)],[110]) ).
tff(112,plain,
( ( a_47 = store(a_43,i5,e_46) )
<=> ( a_47 = store(a_43,i5,e_46) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(113,axiom,
a_47 = store(a_43,i5,e_46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
tff(114,plain,
a_47 = store(a_43,i5,e_46),
inference(modus_ponens,[status(thm)],[113,112]) ).
tff(115,plain,
store(a_43,i5,e_46) = a_47,
inference(symmetry,[status(thm)],[114]) ).
tff(116,plain,
store(store(a_43,i5,e_46),i6,select(a_45,i6)) = store(a_47,i6,e_50),
inference(monotonicity,[status(thm)],[115,111]) ).
tff(117,plain,
store(a_47,i6,e_50) = store(store(a_43,i5,e_46),i6,select(a_45,i6)),
inference(symmetry,[status(thm)],[116]) ).
tff(118,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_47,i6,e_50),i7,select(store(a_47,i6,e_50),i7)) = store(a_47,i6,e_50) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(119,plain,
store(store(a_47,i6,e_50),i7,select(store(a_47,i6,e_50),i7)) = store(a_47,i6,e_50),
inference(unit_resolution,[status(thm)],[118,7]) ).
tff(120,plain,
( ( e_54 = select(a_49,i7) )
<=> ( e_54 = select(a_49,i7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(121,axiom,
e_54 = select(a_49,i7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).
tff(122,plain,
e_54 = select(a_49,i7),
inference(modus_ponens,[status(thm)],[121,120]) ).
tff(123,plain,
select(a_49,i7) = e_54,
inference(symmetry,[status(thm)],[122]) ).
tff(124,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_47,i6,e_50),i7,select(a_49,i7)),i7) = select(a_49,i7) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(125,plain,
select(store(store(a_47,i6,e_50),i7,select(a_49,i7)),i7) = select(a_49,i7),
inference(unit_resolution,[status(thm)],[124,19]) ).
tff(126,plain,
( ( e_52 = select(a_51,i7) )
<=> ( e_52 = select(a_51,i7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(127,axiom,
e_52 = select(a_51,i7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
tff(128,plain,
e_52 = select(a_51,i7),
inference(modus_ponens,[status(thm)],[127,126]) ).
tff(129,plain,
select(a_51,i7) = e_52,
inference(symmetry,[status(thm)],[128]) ).
tff(130,plain,
( ( a_49 = store(a_45,i6,e_48) )
<=> ( a_49 = store(a_45,i6,e_48) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(131,axiom,
a_49 = store(a_45,i6,e_48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
tff(132,plain,
a_49 = store(a_45,i6,e_48),
inference(modus_ponens,[status(thm)],[131,130]) ).
tff(133,plain,
store(a_45,i6,e_48) = a_49,
inference(symmetry,[status(thm)],[132]) ).
tff(134,plain,
store(store(a_45,i6,e_48),i7,select(a_51,i7)) = store(a_49,i7,e_52),
inference(monotonicity,[status(thm)],[133,129]) ).
tff(135,plain,
store(a_49,i7,e_52) = store(store(a_45,i6,e_48),i7,select(a_51,i7)),
inference(symmetry,[status(thm)],[134]) ).
tff(136,plain,
( ( a_53 = store(a_49,i7,e_52) )
<=> ( a_53 = store(a_49,i7,e_52) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(137,axiom,
a_53 = store(a_49,i7,e_52),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
tff(138,plain,
a_53 = store(a_49,i7,e_52),
inference(modus_ponens,[status(thm)],[137,136]) ).
tff(139,plain,
( ( a_53 = a_55 )
<=> ( a_53 = a_55 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(140,axiom,
a_53 = a_55,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).
tff(141,plain,
a_53 = a_55,
inference(modus_ponens,[status(thm)],[140,139]) ).
tff(142,plain,
a_55 = a_53,
inference(symmetry,[status(thm)],[141]) ).
tff(143,plain,
( ( a_55 = store(a_51,i7,e_54) )
<=> ( a_55 = store(a_51,i7,e_54) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(144,axiom,
a_55 = store(a_51,i7,e_54),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
tff(145,plain,
a_55 = store(a_51,i7,e_54),
inference(modus_ponens,[status(thm)],[144,143]) ).
tff(146,plain,
store(a_51,i7,e_54) = a_55,
inference(symmetry,[status(thm)],[145]) ).
tff(147,plain,
( ( a_51 = store(a_47,i6,e_50) )
<=> ( a_51 = store(a_47,i6,e_50) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(148,axiom,
a_51 = store(a_47,i6,e_50),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
tff(149,plain,
a_51 = store(a_47,i6,e_50),
inference(modus_ponens,[status(thm)],[148,147]) ).
tff(150,plain,
store(a_47,i6,e_50) = a_51,
inference(symmetry,[status(thm)],[149]) ).
tff(151,plain,
store(store(a_47,i6,e_50),i7,select(a_49,i7)) = store(a_51,i7,e_54),
inference(monotonicity,[status(thm)],[150,123]) ).
tff(152,plain,
store(store(a_47,i6,e_50),i7,select(a_49,i7)) = store(store(a_45,i6,e_48),i7,select(a_51,i7)),
inference(transitivity,[status(thm)],[151,146,142,138,135]) ).
tff(153,plain,
select(store(store(a_47,i6,e_50),i7,select(a_49,i7)),i7) = select(store(store(a_45,i6,e_48),i7,select(a_51,i7)),i7),
inference(monotonicity,[status(thm)],[152]) ).
tff(154,plain,
select(store(store(a_45,i6,e_48),i7,select(a_51,i7)),i7) = select(store(store(a_47,i6,e_50),i7,select(a_49,i7)),i7),
inference(symmetry,[status(thm)],[153]) ).
tff(155,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_45,i6,e_48),i7,select(a_51,i7)),i7) = select(a_51,i7) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(156,plain,
select(store(store(a_45,i6,e_48),i7,select(a_51,i7)),i7) = select(a_51,i7),
inference(unit_resolution,[status(thm)],[155,19]) ).
tff(157,plain,
select(a_51,i7) = select(store(store(a_45,i6,e_48),i7,select(a_51,i7)),i7),
inference(symmetry,[status(thm)],[156]) ).
tff(158,plain,
select(store(a_47,i6,e_50),i7) = select(a_51,i7),
inference(monotonicity,[status(thm)],[150]) ).
tff(159,plain,
select(store(a_47,i6,e_50),i7) = e_54,
inference(transitivity,[status(thm)],[158,157,154,125,123]) ).
tff(160,plain,
store(store(a_47,i6,e_50),i7,select(store(a_47,i6,e_50),i7)) = store(a_51,i7,e_54),
inference(monotonicity,[status(thm)],[150,159]) ).
tff(161,plain,
store(a_51,i7,e_54) = store(store(a_47,i6,e_50),i7,select(store(a_47,i6,e_50),i7)),
inference(symmetry,[status(thm)],[160]) ).
tff(162,plain,
store(a_49,i7,e_52) = a_53,
inference(symmetry,[status(thm)],[138]) ).
tff(163,plain,
select(a_49,i7) = select(store(store(a_47,i6,e_50),i7,select(a_49,i7)),i7),
inference(symmetry,[status(thm)],[125]) ).
tff(164,plain,
select(store(a_45,i6,e_48),i7) = select(a_49,i7),
inference(monotonicity,[status(thm)],[133]) ).
tff(165,plain,
select(store(a_45,i6,e_48),i7) = e_52,
inference(transitivity,[status(thm)],[164,163,153,156,129]) ).
tff(166,plain,
store(store(a_45,i6,e_48),i7,select(store(a_45,i6,e_48),i7)) = store(a_49,i7,e_52),
inference(monotonicity,[status(thm)],[133,165]) ).
tff(167,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_45,i6,e_48),i7,select(store(a_45,i6,e_48),i7)) = store(a_45,i6,e_48) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(168,plain,
store(store(a_45,i6,e_48),i7,select(store(a_45,i6,e_48),i7)) = store(a_45,i6,e_48),
inference(unit_resolution,[status(thm)],[167,7]) ).
tff(169,plain,
store(a_45,i6,e_48) = store(store(a_45,i6,e_48),i7,select(store(a_45,i6,e_48),i7)),
inference(symmetry,[status(thm)],[168]) ).
tff(170,plain,
( ( a_45 = store(a_41,i5,e_44) )
<=> ( a_45 = store(a_41,i5,e_44) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(171,axiom,
a_45 = store(a_41,i5,e_44),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
tff(172,plain,
a_45 = store(a_41,i5,e_44),
inference(modus_ponens,[status(thm)],[171,170]) ).
tff(173,plain,
store(a_41,i5,e_44) = a_45,
inference(symmetry,[status(thm)],[172]) ).
tff(174,plain,
store(store(a_41,i5,e_44),i6,select(a_47,i6)) = store(a_45,i6,e_48),
inference(monotonicity,[status(thm)],[173,105]) ).
tff(175,plain,
store(store(a_41,i5,e_44),i6,select(a_47,i6)) = store(store(a_43,i5,e_46),i6,select(a_45,i6)),
inference(transitivity,[status(thm)],[174,169,166,162,141,145,161,119,117]) ).
tff(176,plain,
select(store(store(a_41,i5,e_44),i6,select(a_47,i6)),i6) = select(store(store(a_43,i5,e_46),i6,select(a_45,i6)),i6),
inference(monotonicity,[status(thm)],[175]) ).
tff(177,plain,
select(store(store(a_43,i5,e_46),i6,select(a_45,i6)),i6) = select(store(store(a_41,i5,e_44),i6,select(a_47,i6)),i6),
inference(symmetry,[status(thm)],[176]) ).
tff(178,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_43,i5,e_46),i6,select(a_45,i6)),i6) = select(a_45,i6) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(179,plain,
select(store(store(a_43,i5,e_46),i6,select(a_45,i6)),i6) = select(a_45,i6),
inference(unit_resolution,[status(thm)],[178,19]) ).
tff(180,plain,
select(a_45,i6) = select(store(store(a_43,i5,e_46),i6,select(a_45,i6)),i6),
inference(symmetry,[status(thm)],[179]) ).
tff(181,plain,
select(store(a_41,i5,e_44),i6) = select(a_45,i6),
inference(monotonicity,[status(thm)],[173]) ).
tff(182,plain,
select(store(a_41,i5,e_44),i6) = e_48,
inference(transitivity,[status(thm)],[181,180,177,107,105]) ).
tff(183,plain,
store(store(a_41,i5,e_44),i6,select(store(a_41,i5,e_44),i6)) = store(a_45,i6,e_48),
inference(monotonicity,[status(thm)],[173,182]) ).
tff(184,plain,
store(a_45,i6,e_48) = store(store(a_41,i5,e_44),i6,select(store(a_41,i5,e_44),i6)),
inference(symmetry,[status(thm)],[183]) ).
tff(185,plain,
store(a_49,i7,e_52) = store(store(a_45,i6,e_48),i7,select(store(a_45,i6,e_48),i7)),
inference(symmetry,[status(thm)],[166]) ).
tff(186,plain,
store(a_47,i6,e_50) = store(store(a_47,i6,e_50),i7,select(store(a_47,i6,e_50),i7)),
inference(symmetry,[status(thm)],[119]) ).
tff(187,plain,
select(a_47,i6) = select(store(store(a_41,i5,e_44),i6,select(a_47,i6)),i6),
inference(symmetry,[status(thm)],[107]) ).
tff(188,plain,
select(store(a_43,i5,e_46),i6) = select(a_47,i6),
inference(monotonicity,[status(thm)],[115]) ).
tff(189,plain,
select(store(a_43,i5,e_46),i6) = e_50,
inference(transitivity,[status(thm)],[188,187,176,179,111]) ).
tff(190,plain,
store(store(a_43,i5,e_46),i6,select(store(a_43,i5,e_46),i6)) = store(a_47,i6,e_50),
inference(monotonicity,[status(thm)],[115,189]) ).
tff(191,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_43,i5,e_46),i6,select(store(a_43,i5,e_46),i6)) = store(a_43,i5,e_46) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(192,plain,
store(store(a_43,i5,e_46),i6,select(store(a_43,i5,e_46),i6)) = store(a_43,i5,e_46),
inference(unit_resolution,[status(thm)],[191,7]) ).
tff(193,plain,
store(a_43,i5,e_46) = store(store(a_43,i5,e_46),i6,select(store(a_43,i5,e_46),i6)),
inference(symmetry,[status(thm)],[192]) ).
tff(194,plain,
( ( a_43 = store(a_39,i4,e_42) )
<=> ( a_43 = store(a_39,i4,e_42) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(195,axiom,
a_43 = store(a_39,i4,e_42),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
tff(196,plain,
a_43 = store(a_39,i4,e_42),
inference(modus_ponens,[status(thm)],[195,194]) ).
tff(197,plain,
store(a_39,i4,e_42) = a_43,
inference(symmetry,[status(thm)],[196]) ).
tff(198,plain,
store(store(a_39,i4,e_42),i5,select(a_41,i5)) = store(a_43,i5,e_46),
inference(monotonicity,[status(thm)],[197,87]) ).
tff(199,plain,
store(store(a_39,i4,e_42),i5,select(a_41,i5)) = store(store(a_37,i4,e_40),i5,select(a_43,i5)),
inference(transitivity,[status(thm)],[198,193,190,186,160,146,142,138,185,168,184,101,99]) ).
tff(200,plain,
select(store(store(a_39,i4,e_42),i5,select(a_41,i5)),i5) = select(store(store(a_37,i4,e_40),i5,select(a_43,i5)),i5),
inference(monotonicity,[status(thm)],[199]) ).
tff(201,plain,
select(store(store(a_37,i4,e_40),i5,select(a_43,i5)),i5) = select(store(store(a_39,i4,e_42),i5,select(a_41,i5)),i5),
inference(symmetry,[status(thm)],[200]) ).
tff(202,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_37,i4,e_40),i5,select(a_43,i5)),i5) = select(a_43,i5) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(203,plain,
select(store(store(a_37,i4,e_40),i5,select(a_43,i5)),i5) = select(a_43,i5),
inference(unit_resolution,[status(thm)],[202,19]) ).
tff(204,plain,
select(a_43,i5) = select(store(store(a_37,i4,e_40),i5,select(a_43,i5)),i5),
inference(symmetry,[status(thm)],[203]) ).
tff(205,plain,
select(store(a_39,i4,e_42),i5) = select(a_43,i5),
inference(monotonicity,[status(thm)],[197]) ).
tff(206,plain,
select(store(a_39,i4,e_42),i5) = e_46,
inference(transitivity,[status(thm)],[205,204,201,89,87]) ).
tff(207,plain,
store(store(a_39,i4,e_42),i5,select(store(a_39,i4,e_42),i5)) = store(a_43,i5,e_46),
inference(monotonicity,[status(thm)],[197,206]) ).
tff(208,plain,
store(a_43,i5,e_46) = store(store(a_39,i4,e_42),i5,select(store(a_39,i4,e_42),i5)),
inference(symmetry,[status(thm)],[207]) ).
tff(209,plain,
store(a_47,i6,e_50) = store(store(a_43,i5,e_46),i6,select(store(a_43,i5,e_46),i6)),
inference(symmetry,[status(thm)],[190]) ).
tff(210,plain,
store(a_41,i5,e_44) = store(store(a_41,i5,e_44),i6,select(store(a_41,i5,e_44),i6)),
inference(symmetry,[status(thm)],[101]) ).
tff(211,plain,
select(a_41,i5) = select(store(store(a_39,i4,e_42),i5,select(a_41,i5)),i5),
inference(symmetry,[status(thm)],[89]) ).
tff(212,plain,
select(store(a_37,i4,e_40),i5) = select(a_41,i5),
inference(monotonicity,[status(thm)],[97]) ).
tff(213,plain,
select(store(a_37,i4,e_40),i5) = e_44,
inference(transitivity,[status(thm)],[212,211,200,203,93]) ).
tff(214,plain,
store(store(a_37,i4,e_40),i5,select(store(a_37,i4,e_40),i5)) = store(a_41,i5,e_44),
inference(monotonicity,[status(thm)],[97,213]) ).
tff(215,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_37,i4,e_40),i5,select(store(a_37,i4,e_40),i5)) = store(a_37,i4,e_40) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(216,plain,
store(store(a_37,i4,e_40),i5,select(store(a_37,i4,e_40),i5)) = store(a_37,i4,e_40),
inference(unit_resolution,[status(thm)],[215,7]) ).
tff(217,plain,
store(a_37,i4,e_40) = store(store(a_37,i4,e_40),i5,select(store(a_37,i4,e_40),i5)),
inference(symmetry,[status(thm)],[216]) ).
tff(218,plain,
( ( a_37 = store(a_33,i3,e_36) )
<=> ( a_37 = store(a_33,i3,e_36) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(219,axiom,
a_37 = store(a_33,i3,e_36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
tff(220,plain,
a_37 = store(a_33,i3,e_36),
inference(modus_ponens,[status(thm)],[219,218]) ).
tff(221,plain,
store(a_33,i3,e_36) = a_37,
inference(symmetry,[status(thm)],[220]) ).
tff(222,plain,
store(store(a_33,i3,e_36),i4,select(a_39,i4)) = store(a_37,i4,e_40),
inference(monotonicity,[status(thm)],[221,69]) ).
tff(223,plain,
store(store(a_33,i3,e_36),i4,select(a_39,i4)) = store(store(a_35,i3,e_38),i4,select(a_37,i4)),
inference(transitivity,[status(thm)],[222,217,214,210,183,169,166,162,141,145,161,119,209,192,208,83,81]) ).
tff(224,plain,
select(store(store(a_33,i3,e_36),i4,select(a_39,i4)),i4) = select(store(store(a_35,i3,e_38),i4,select(a_37,i4)),i4),
inference(monotonicity,[status(thm)],[223]) ).
tff(225,plain,
select(store(store(a_35,i3,e_38),i4,select(a_37,i4)),i4) = select(store(store(a_33,i3,e_36),i4,select(a_39,i4)),i4),
inference(symmetry,[status(thm)],[224]) ).
tff(226,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_35,i3,e_38),i4,select(a_37,i4)),i4) = select(a_37,i4) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(227,plain,
select(store(store(a_35,i3,e_38),i4,select(a_37,i4)),i4) = select(a_37,i4),
inference(unit_resolution,[status(thm)],[226,19]) ).
tff(228,plain,
select(a_37,i4) = select(store(store(a_35,i3,e_38),i4,select(a_37,i4)),i4),
inference(symmetry,[status(thm)],[227]) ).
tff(229,plain,
select(store(a_33,i3,e_36),i4) = select(a_37,i4),
inference(monotonicity,[status(thm)],[221]) ).
tff(230,plain,
select(store(a_33,i3,e_36),i4) = e_40,
inference(transitivity,[status(thm)],[229,228,225,71,69]) ).
tff(231,plain,
store(store(a_33,i3,e_36),i4,select(store(a_33,i3,e_36),i4)) = store(a_37,i4,e_40),
inference(monotonicity,[status(thm)],[221,230]) ).
tff(232,plain,
store(a_37,i4,e_40) = store(store(a_33,i3,e_36),i4,select(store(a_33,i3,e_36),i4)),
inference(symmetry,[status(thm)],[231]) ).
tff(233,plain,
store(a_41,i5,e_44) = store(store(a_37,i4,e_40),i5,select(store(a_37,i4,e_40),i5)),
inference(symmetry,[status(thm)],[214]) ).
tff(234,plain,
store(a_39,i4,e_42) = store(store(a_39,i4,e_42),i5,select(store(a_39,i4,e_42),i5)),
inference(symmetry,[status(thm)],[83]) ).
tff(235,plain,
select(a_39,i4) = select(store(store(a_33,i3,e_36),i4,select(a_39,i4)),i4),
inference(symmetry,[status(thm)],[71]) ).
tff(236,plain,
select(store(a_35,i3,e_38),i4) = select(a_39,i4),
inference(monotonicity,[status(thm)],[79]) ).
tff(237,plain,
select(store(a_35,i3,e_38),i4) = e_42,
inference(transitivity,[status(thm)],[236,235,224,227,75]) ).
tff(238,plain,
store(store(a_35,i3,e_38),i4,select(store(a_35,i3,e_38),i4)) = store(a_39,i4,e_42),
inference(monotonicity,[status(thm)],[79,237]) ).
tff(239,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_35,i3,e_38),i4,select(store(a_35,i3,e_38),i4)) = store(a_35,i3,e_38) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(240,plain,
store(store(a_35,i3,e_38),i4,select(store(a_35,i3,e_38),i4)) = store(a_35,i3,e_38),
inference(unit_resolution,[status(thm)],[239,7]) ).
tff(241,plain,
store(a_35,i3,e_38) = store(store(a_35,i3,e_38),i4,select(store(a_35,i3,e_38),i4)),
inference(symmetry,[status(thm)],[240]) ).
tff(242,plain,
( ( a_35 = store(a_31,i2,e_34) )
<=> ( a_35 = store(a_31,i2,e_34) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(243,axiom,
a_35 = store(a_31,i2,e_34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
tff(244,plain,
a_35 = store(a_31,i2,e_34),
inference(modus_ponens,[status(thm)],[243,242]) ).
tff(245,plain,
store(a_31,i2,e_34) = a_35,
inference(symmetry,[status(thm)],[244]) ).
tff(246,plain,
store(store(a_31,i2,e_34),i3,select(a_33,i3)) = store(a_35,i3,e_38),
inference(monotonicity,[status(thm)],[245,51]) ).
tff(247,plain,
store(store(a_31,i2,e_34),i3,select(a_33,i3)) = store(store(a_29,i2,e_32),i3,select(a_35,i3)),
inference(transitivity,[status(thm)],[246,241,238,234,207,193,190,186,160,146,142,138,185,168,184,101,233,216,232,65,63]) ).
tff(248,plain,
select(store(store(a_31,i2,e_34),i3,select(a_33,i3)),i3) = select(store(store(a_29,i2,e_32),i3,select(a_35,i3)),i3),
inference(monotonicity,[status(thm)],[247]) ).
tff(249,plain,
select(store(store(a_29,i2,e_32),i3,select(a_35,i3)),i3) = select(store(store(a_31,i2,e_34),i3,select(a_33,i3)),i3),
inference(symmetry,[status(thm)],[248]) ).
tff(250,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_29,i2,e_32),i3,select(a_35,i3)),i3) = select(a_35,i3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(251,plain,
select(store(store(a_29,i2,e_32),i3,select(a_35,i3)),i3) = select(a_35,i3),
inference(unit_resolution,[status(thm)],[250,19]) ).
tff(252,plain,
select(a_35,i3) = select(store(store(a_29,i2,e_32),i3,select(a_35,i3)),i3),
inference(symmetry,[status(thm)],[251]) ).
tff(253,plain,
select(store(a_31,i2,e_34),i3) = select(a_35,i3),
inference(monotonicity,[status(thm)],[245]) ).
tff(254,plain,
select(store(a_31,i2,e_34),i3) = e_38,
inference(transitivity,[status(thm)],[253,252,249,53,51]) ).
tff(255,plain,
store(store(a_31,i2,e_34),i3,select(store(a_31,i2,e_34),i3)) = store(a_35,i3,e_38),
inference(monotonicity,[status(thm)],[245,254]) ).
tff(256,plain,
store(a_35,i3,e_38) = store(store(a_31,i2,e_34),i3,select(store(a_31,i2,e_34),i3)),
inference(symmetry,[status(thm)],[255]) ).
tff(257,plain,
store(a_39,i4,e_42) = store(store(a_35,i3,e_38),i4,select(store(a_35,i3,e_38),i4)),
inference(symmetry,[status(thm)],[238]) ).
tff(258,plain,
store(a_33,i3,e_36) = store(store(a_33,i3,e_36),i4,select(store(a_33,i3,e_36),i4)),
inference(symmetry,[status(thm)],[65]) ).
tff(259,plain,
select(a_33,i3) = select(store(store(a_31,i2,e_34),i3,select(a_33,i3)),i3),
inference(symmetry,[status(thm)],[53]) ).
tff(260,plain,
select(store(a_29,i2,e_32),i3) = select(a_33,i3),
inference(monotonicity,[status(thm)],[61]) ).
tff(261,plain,
select(store(a_29,i2,e_32),i3) = e_36,
inference(transitivity,[status(thm)],[260,259,248,251,57]) ).
tff(262,plain,
store(store(a_29,i2,e_32),i3,select(store(a_29,i2,e_32),i3)) = store(a_33,i3,e_36),
inference(monotonicity,[status(thm)],[61,261]) ).
tff(263,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a_29,i2,e_32),i3,select(store(a_29,i2,e_32),i3)) = store(a_29,i2,e_32) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(264,plain,
store(store(a_29,i2,e_32),i3,select(store(a_29,i2,e_32),i3)) = store(a_29,i2,e_32),
inference(unit_resolution,[status(thm)],[263,7]) ).
tff(265,plain,
store(a_29,i2,e_32) = store(store(a_29,i2,e_32),i3,select(store(a_29,i2,e_32),i3)),
inference(symmetry,[status(thm)],[264]) ).
tff(266,plain,
( ( a_29 = store(a1,i1,e_28) )
<=> ( a_29 = store(a1,i1,e_28) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(267,axiom,
a_29 = store(a1,i1,e_28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
tff(268,plain,
a_29 = store(a1,i1,e_28),
inference(modus_ponens,[status(thm)],[267,266]) ).
tff(269,plain,
store(a1,i1,e_28) = a_29,
inference(symmetry,[status(thm)],[268]) ).
tff(270,plain,
store(store(a1,i1,e_28),i2,select(a_31,i2)) = store(a_29,i2,e_32),
inference(monotonicity,[status(thm)],[269,33]) ).
tff(271,plain,
store(store(a1,i1,e_28),i2,select(a_31,i2)) = store(store(a2,i1,e_30),i2,select(a_29,i2)),
inference(transitivity,[status(thm)],[270,265,262,258,231,217,214,210,183,169,166,162,141,145,161,119,209,192,208,83,257,240,256,47,45]) ).
tff(272,plain,
select(store(store(a1,i1,e_28),i2,select(a_31,i2)),i2) = select(store(store(a2,i1,e_30),i2,select(a_29,i2)),i2),
inference(monotonicity,[status(thm)],[271]) ).
tff(273,plain,
select(store(store(a2,i1,e_30),i2,select(a_29,i2)),i2) = select(store(store(a1,i1,e_28),i2,select(a_31,i2)),i2),
inference(symmetry,[status(thm)],[272]) ).
tff(274,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a2,i1,e_30),i2,select(a_29,i2)),i2) = select(a_29,i2) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(275,plain,
select(store(store(a2,i1,e_30),i2,select(a_29,i2)),i2) = select(a_29,i2),
inference(unit_resolution,[status(thm)],[274,19]) ).
tff(276,plain,
select(a_29,i2) = select(store(store(a2,i1,e_30),i2,select(a_29,i2)),i2),
inference(symmetry,[status(thm)],[275]) ).
tff(277,plain,
select(store(a1,i1,e_28),i2) = select(a_29,i2),
inference(monotonicity,[status(thm)],[269]) ).
tff(278,plain,
select(store(a1,i1,e_28),i2) = e_32,
inference(transitivity,[status(thm)],[277,276,273,35,33]) ).
tff(279,plain,
store(store(a1,i1,e_28),i2,select(store(a1,i1,e_28),i2)) = store(a_29,i2,e_32),
inference(monotonicity,[status(thm)],[269,278]) ).
tff(280,plain,
store(a_29,i2,e_32) = store(store(a1,i1,e_28),i2,select(store(a1,i1,e_28),i2)),
inference(symmetry,[status(thm)],[279]) ).
tff(281,plain,
store(a_33,i3,e_36) = store(store(a_29,i2,e_32),i3,select(store(a_29,i2,e_32),i3)),
inference(symmetry,[status(thm)],[262]) ).
tff(282,plain,
store(a_31,i2,e_34) = store(store(a_31,i2,e_34),i3,select(store(a_31,i2,e_34),i3)),
inference(symmetry,[status(thm)],[47]) ).
tff(283,plain,
select(a_31,i2) = select(store(store(a1,i1,e_28),i2,select(a_31,i2)),i2),
inference(symmetry,[status(thm)],[35]) ).
tff(284,plain,
select(store(a2,i1,e_30),i2) = select(a_31,i2),
inference(monotonicity,[status(thm)],[43]) ).
tff(285,plain,
select(store(a2,i1,e_30),i2) = e_34,
inference(transitivity,[status(thm)],[284,283,272,275,39]) ).
tff(286,plain,
store(store(a2,i1,e_30),i2,select(store(a2,i1,e_30),i2)) = store(a_31,i2,e_34),
inference(monotonicity,[status(thm)],[43,285]) ).
tff(287,plain,
( ~ ! [I: $i,A: $i] : ( store(A,I,select(A,I)) = A )
| ( store(store(a2,i1,e_30),i2,select(store(a2,i1,e_30),i2)) = store(a2,i1,e_30) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(288,plain,
store(store(a2,i1,e_30),i2,select(store(a2,i1,e_30),i2)) = store(a2,i1,e_30),
inference(unit_resolution,[status(thm)],[287,7]) ).
tff(289,plain,
store(a2,i1,e_30) = store(store(a2,i1,e_30),i2,select(store(a2,i1,e_30),i2)),
inference(symmetry,[status(thm)],[288]) ).
tff(290,plain,
store(a2,i1,select(a1,i1)) = store(a2,i1,e_30),
inference(monotonicity,[status(thm)],[13]) ).
tff(291,plain,
store(a2,i1,select(a1,i1)) = store(a1,i1,select(a2,i1)),
inference(transitivity,[status(thm)],[290,289,286,282,255,241,238,234,207,193,190,186,160,146,142,138,185,168,184,101,233,216,232,65,281,264,280,29,27]) ).
tff(292,plain,
select(store(a2,i1,select(a1,i1)),i1) = select(store(a1,i1,select(a2,i1)),i1),
inference(monotonicity,[status(thm)],[291]) ).
tff(293,plain,
select(store(a1,i1,select(a2,i1)),i1) = select(store(a2,i1,select(a1,i1)),i1),
inference(symmetry,[status(thm)],[292]) ).
tff(294,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(295,plain,
select(store(a1,i1,select(a2,i1)),i1) = select(a2,i1),
inference(unit_resolution,[status(thm)],[294,19]) ).
tff(296,plain,
select(a2,i1) = select(store(a1,i1,select(a2,i1)),i1),
inference(symmetry,[status(thm)],[295]) ).
tff(297,plain,
select(a2,i1) = e_30,
inference(transitivity,[status(thm)],[296,293,21,13]) ).
tff(298,plain,
store(a2,i1,select(a2,i1)) = store(a2,i1,e_30),
inference(monotonicity,[status(thm)],[297]) ).
tff(299,plain,
store(a2,i1,e_30) = store(a2,i1,select(a2,i1)),
inference(symmetry,[status(thm)],[298]) ).
tff(300,plain,
store(a_31,i2,e_34) = store(store(a2,i1,e_30),i2,select(store(a2,i1,e_30),i2)),
inference(symmetry,[status(thm)],[286]) ).
tff(301,plain,
store(a1,i1,e_28) = store(store(a1,i1,e_28),i2,select(store(a1,i1,e_28),i2)),
inference(symmetry,[status(thm)],[29]) ).
tff(302,plain,
select(a1,i1) = select(store(a2,i1,select(a1,i1)),i1),
inference(symmetry,[status(thm)],[21]) ).
tff(303,plain,
select(a1,i1) = e_28,
inference(transitivity,[status(thm)],[302,292,295,25]) ).
tff(304,plain,
store(a1,i1,select(a1,i1)) = store(a1,i1,e_28),
inference(monotonicity,[status(thm)],[303]) ).
tff(305,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(306,plain,
store(a1,i1,select(a1,i1)) = a1,
inference(unit_resolution,[status(thm)],[305,7]) ).
tff(307,plain,
a1 = store(a1,i1,select(a1,i1)),
inference(symmetry,[status(thm)],[306]) ).
tff(308,plain,
a1 = a2,
inference(transitivity,[status(thm)],[307,304,301,279,265,262,258,231,217,214,210,183,169,166,162,141,145,161,119,209,192,208,83,257,240,256,47,300,288,299,9]) ).
tff(309,plain,
( ( a1 != a2 )
<=> ( a1 != a2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(310,axiom,
a1 != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tff(311,plain,
a1 != a2,
inference(modus_ponens,[status(thm)],[310,309]) ).
tff(312,plain,
$false,
inference(unit_resolution,[status(thm)],[311,308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV558-1.007 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.13/0.32 % Computer : n006.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jun 20 10:20:05 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.20/0.37 % SZS status Unsatisfiable
% 0.20/0.37 % SZS output start Proof
% See solution above
% 0.20/0.41 % E exiting
%------------------------------------------------------------------------------